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Books - Science - Mathematics - Pure Mathematics - Logic

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1. Introduction to Automata Theory,
2. God Created the Integers: The
3. Introduction to the Theory of
4. Analysis: With an Introduction
5. How to Prove It: A Structured
6. The Art and Craft of Problem Solving
7. Introduction to Computer Theory
8. Elements of the Theory of Computation
9. Introduction to Logic
10. How to Solve It: A New Aspect
11. Godel's Theorem: An Incomplete
12. Mathematical Proofs: A Transition
13. Godel, Escher, Bach: An Eternal
14. Attacking Faulty Reasoning: A
15. Classical Recursion Theory, Volume
16. A Mathematical Introduction to
17. An Introduction to Mathematical
18. Computability, Complexity, and
19. Logic: A Very Short Introduction
20. Logistic Regression (2nd Edition)

1. Introduction to Automata Theory, Languages, and Computation (2nd Edition)
by Addison Wesley
Hardcover (14 November, 2000)
list price: $119.80 -- our price: $98.77
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Isbn: 0201441241
Average Customer Review: 3.5 out of 5 stars
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Editorial Review

This book is a rigorous exposition of formal languages and models of computation, with an introduction to computational complexity. The authors present the theory in a concise and straightforward manner, with an eye out for the practical applications. Exercises at the end of each chapter, including some that have been solved, help readers confirm and enhance their understanding of the material. This book is appropriate for upper-level computer science undergraduates who are comfortable with mathematical arguments. ... Read more

Reviews (31)

5-0 out of 5 stars Need some challenge? Come here!
I started to learn this course at the beginning of this semester and I just brought this book from Amazon in August.
1-0 out of 5 stars first edition is a classic, the second one unremarkable
The first edition is one of the best book in its field. A classic. A reference for many advanced courses in computer theory.4-0 out of 5 stars Excellent introductory text, but has several weaknesses
This was my textbook for an introductory course on Finite Automata and Languages - I enjoyed it a lot and I think that the chapters until the Turing Machines are covered very well, along with good examples. As one previous reviewer has already mentioned, the exercises can get very hard as compared to what's actually presented - this I found not too good.Read more

Subjects:  1. Computational complexity    2. Computer Science    3. Formal languages    4. Logic    5. Machine theory    6. Mathematics    7. Number Theory    8. Science/Mathematics    9. Artificial intelligence    10. Computers / Computer Science    11. General Theory of Computing    12. Programming languages   

2. God Created the Integers: The Mathematical Breakthroughs That Changed History
by Running Press Book Publishers
Hardcover (04 October, 2005)
list price: $29.95 -- our price: $19.77
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Isbn: 0762419229
Average Customer Review: 3.5 out of 5 stars
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Editorial Review

"God created the integers," wrote mathematician Leopold Kronecker, "All the rest is the work of Man." In this collection of landmark mathematical works, editor Stephen Hawking has assembled the greatest feats humans have ever accomplished using just numbers and their brains. Each of the 17 sections opens with a historical introduction of the featured author, and proceeds to a faithful translation of their most famous work. While most mathematicians will already have complete editions of Isaac Newton's Read more

Reviews (15)

4-0 out of 5 stars Stephen's talk of stars and the Universe
During his career as a cosmologist Professor Stephen Hawking has proposed many ground-breaking theories. His theories on the origins and nature of the universe are quite complex, but Stephen believes it is important to communicate his ideas to the general public. He has written two books - A Brief History of Time, and The Universe in a Nutshell, to try to explain his ideas to everyone. Hawking is the leading scientist on Quantum Mechanics -- which he describes the behaviour of the smallest particles in the Universe. Unlike everyday objects which tend to obey predictable laws, tiny objects like atoms can behave in very unpredictable ways. Hawking's theories include -- Steady State vs the Big Bang. When Hawking was a student, most cosmologists believed in the steady state theory. The steady state theory says the universe had no beginning and will exist in the same state forever. In contrast, the Big Bang theory says that everything in our Universe (and therefore space, matter and time) began in an explosion about 15 billion years ago. This is the theory that most cosmologists agree on today. The theory of relativity was one of the most important ideas of the twentieth century. Albert Einstein realised that space and time were not independent concepts - how you measure time depends on how you are moving through space, and vice versa. He suggested that gravitational fields could bend what he called space-time. Relativity predicts that time slows down near very massive objects like Black Holes. Black Holes are large stars that have undergone total gravitational collapse and whose gravity is so great that nothing, not even light, can escape from them. The heart of a Black Hole is infinitely dense, and is an example of what mathematicians call a singularity. Singularities are points where space and time are warped so much that the laws of physics break down. Singularities occur at the heart of black holes. The Big Bang is also a singularity; before the Big Bang, time does not mathematically exist.
4-0 out of 5 stars "The writing fingers having writ ...", In the Shoes of the "God"? - -From the Pen of Dr. Hawking .. ?!
It is no wonder that this great work has attracted so many diverse type of reviews from some of the very competent reviewers.The omissions of many good things bring to the mind the work of (Sir) Roger Penrose; really this great project pales in comparison.
2-0 out of 5 stars Need an editor, couldn't agree more
I really want to give this book at least 4 stars as I love the idea of encapsulating those great mathematical breakthroughs in one book and giving each a proper account instead of over simplistic summaries like many other math readings do.
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Subjects:  1. History & Philosophy    2. Logic    3. Mathematics    4. Science/Mathematics    5. History of mathematics    6. Popular science   

3. Introduction to the Theory of Computation
by Course Technology
Hardcover (13 December, 1996)
list price: $103.95
Isbn: 053494728X
Average Customer Review: 4.5 out of 5 stars
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Editorial Review

"Intended as an upper-level undergraduate or introductory graduate text in computer science theory," this book lucidly covers the key concepts and theorems of the theory of computation. The presentation is remarkably clear; for example, the "proof idea," which offers the reader an intuitive feel for how the proof was constructed, accompanies many of the theorems and a proof. Read more

Reviews (45)

1-0 out of 5 stars Terrible
I do not understand why this book is rated so highly.
5-0 out of 5 stars Most appropriate for CS students
As a teacher of the subject, I have had the chance to evaluate numerous books on the theory of computation.Of all the available texts, I think this one is the most appropriate for CS students.In the past I taught out of Dexter Kozen's book, which is incredibly elegant, but had some resistance from the students.Thinking it over I decided that Kozen's text, although beautiful, may be better suited to students pursuing a degree in pure math.Sipser's book, on the other hand, is more gentle.I find that Sipser demands far less mathematical maturity from his readers, and thus allows the difficulty to be shifted from excessive formalism to the inherent challenges present in the material.In addition, following Sipser's treatment, I was able to cover finite state machines and pushdown automata in far less time, thus allowing me to concentrate on computability and beyond.The book really shines in its treatment of computability theory, eloquently directing attention to some of the most beautiful aspects.
5-0 out of 5 stars Excellent accessible textbook on the theory of computation
The theory of computation is the branch of computer science that deals with whether and how efficiently problems can be solved on a computer. The field is divided into two major branches: computability theory and complexity theory, but both branches deal with formal models of computation, and both of these subjects are dealt with in this book. This is an important subject because no matter what leaps forward computers make, something that is proved undecidable and not computable will always be so, thus the theory behind this subject is very important.
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Subjects:  1. Advanced    2. Computational complexity    3. Computers - General Information    4. Discrete Mathematics    5. General    6. Logic    7. Machine Learning    8. Machine theory    9. Mathematics    10. Science/Mathematics    11. Systems Analysis    12. Computers / Information Theory    13. Mathematical theory of computation   

4. Analysis: With an Introduction to Proof (4th Edition)
by Prentice Hall
Hardcover (29 November, 2004)
list price: $107.20 -- our price: $103.00
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Isbn: 0131481010
Sales Rank: 227994
Average Customer Review: 4.5 out of 5 stars
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Reviews (4)

5-0 out of 5 stars Great intro to Real Analysis
Lay's book is my second favorite book on introductory level real analysis--please see my review of Elementary Analysis by Kenneth Ross.Ross somehow covers a lot more material, and quite a bit more clearly than Lay, BUT, the first two chapters of Lay's book covering axiomatic set theory are wonderfully written.I particularly love the clearly written coverage of the paradoxes contained in the Fraenkel-Zermalo Axioms, in Particular the Banach-Tarski paradox which states that a solid sphere of radius A < B can be cut an pasted into a sphere of radius B. Then, from chapter 3 onwards, Lay and Ross pretty much follow each other, Lay being more wordy than Ross, Ross being far more clear than Lay.
5-0 out of 5 stars good to go
The book arrived in good condition and I have not had any problems with it.

4-0 out of 5 stars Definitely a good first text
I bought this book because I have been looking for a Introductory analysis text that isn't too advanced, but yet doesn't gloss over the essential stuff, and I found it in Lay's book.For the self-studier, this book is excellent!I have several books on analysis: Shilov, Kolomogorov, Rosenlicht, Ross,etc...For the beginner, this book is superior to all of them.A plethora of examples.Also, a good range of problems:from straight forward problems requiring only the use of a definition to more advanced problems requiring a little thought.If you already have had some Analysis, then this book is probably not for you.But, if you are a student who wants to learn Analysis on your own, then this book would be hard to beat.After this book, one should be able to tackle "Papa Rudin".For according to Rudin, all that is needed to study his "Real and Complex Analysis" tome, is the first seven chapters of his "Principles of Mathematical Analysis".This book covers all that Rudin covers with the exception of Riemann-Stieltjes integration.On the whole, this is a great start!If proof-based math is new to you, then you will appreciate the first chapter on proofs.Would have given five stars, but I would have liked to seen Riemann-Stieltjes integration.That's really only nit picking, though. ... Read more

Subjects:  1. Functional Analysis    2. Logic    3. Mathematical And Symbolic Logic    4. Mathematical analysis    5. Mathematics    6. Proof theory    7. Science/Mathematics    8. Set Theory    9. Mathematical logic    10. Mathematics / Advanced    11. Mathematics and Science    12. Real analysis   

5. How to Prove It: A Structured Approach
by Cambridge University Press
Paperback (25 November, 1994)
list price: $37.57
Isbn: 0521446635
Sales Rank: 141500
Average Customer Review: 4.5 out of 5 stars
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Reviews (23)

5-0 out of 5 stars Rigorous but engineer's intro to proofs
I write this review on the context of having done all the math required for mechanical engineer but never havin to do proofs... as B.Rusell once said do and the by faith you will believe... trying to escape that state of mind I got this book some years ago, Im glad for the author follows a structure approach similar to learning a programming language, once you master some elemenatry techniques you can stack up to create refined algorithms.

3-0 out of 5 stars 5 Stars for the book, 1 star for an unnecessary 2nd edition
I have the first edition of this excellent book, and I compared it to the recently published second edition. Quite frankly, I can't see why they bothered. It's not like the methods of mathematical proofs change that much over time. We're not talking about some 1400 page shovelware book on being a MCSE/CCNA/etc. where the qualifications change every six months. There are only three basic changes to this book in its second edition:
4-0 out of 5 stars overlay logic on any other type of maths
The math notation in this book is that typically of texts used by maths majors. Most of those people should already have a grasp of proving statements. But some do not, and the book is directed to them.
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Subjects:  1. Combinatorics    2. General    3. Logic    4. Logic, Symbolic and mathematic    5. Logic, Symbolic and mathematical    6. Mathematics    7. Science    8. Science/Mathematics    9. Mathematical logic    10. Mathematics / Combinatorics   

6. The Art and Craft of Problem Solving
by Wiley
Paperback (18 August, 2006)
list price: $48.95 -- our price: $48.95
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Isbn: 0471789011
Sales Rank: 19997
Average Customer Review: 4.5 out of 5 stars
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Reviews (17)

3-0 out of 5 stars Not ideal for self study
A primary group of people this book is aimed at is those preparing for Math contests such as the Olympiads. Many such people study the subject on their own. An important step in such preparation is solving a lot of problems. While it is important to try to solve the problems on one's own, it is equally important to be able to verify that one's solutions are correct. Unfortunately, this book does not provide solutions to the problems. Hence, it is not very helpful for those who are studying on their own. There are many other books in the market which are better from that point of view: For example, many books by Titu Andreescu, "Problem Solving Strategies" book by Arthur Engel are all good books that provide solutions as well. The "Art of Problem Solving" (Vol. 1 & Vol. 2) by Rusczyk et al. are also very good and have separate solution manuals available for purchase.

5-0 out of 5 stars Outstanding, but you will need other sources
The Art and Craft of Problem Solving is an excellent book that covers the essentials of Algebra, Combinatorics, Number Theory, and even Calculus from a problem-solving point of view. However, there are very few solved problems. I strongly recommend this book, but also suggest that the student study other books as well, books with many more solved examples, because this book alone does not provide enough experience in putting the concepts into practice.

5-0 out of 5 stars a marvelous introduction to problem solving
this is one of the rare books which truly
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Subjects:  1. Logic    2. Mathematics    3. Problem solving    4. Science/Mathematics    5. Mathematics / Logic   

7. Introduction to Computer Theory
by Wiley
Hardcover (25 October, 1996)
list price: $113.95 -- our price: $113.95
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Isbn: 0471137723
Sales Rank: 210235
Average Customer Review: 4.5 out of 5 stars
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Reviews (7)

4-0 out of 5 stars Excellent, Accessible Book
This an excellent book.Basically, the whole point of it is to mathematically define what a computer is and prove that it works.The author does this by defining and manipulating mathematical alphabets and languages without resorting to any kind of advanced math.Starting from nothing, the whole thing leads up to Turing Machines.More specifically, according to the Preface, the goals of the book are:
5-0 out of 5 stars Excellent
I must say this is one of the best books I have ever read.The auther is humorous and insightful.He manages to take very abstract concepts and explain them in clear concrete terms and metaphors.

4-0 out of 5 stars Discursive presentation. Helpful for novices.
The book has one important attribute: it's clear, undoubtedly. Having a minimum of prerequisites, I think there's no way to not understand what Prof. Cohen says through its pages. It makes the job of learning this part of theory easier than any other text.Read more

Subjects:  1. Computer Books: General    2. Computer Science    3. Computers    4. Electronic digital computers    5. General    6. Logic    7. Mathematics    8. Theory Of Computing    9. Computers / General    10. General Theory of Computing   

8. Elements of the Theory of Computation (2nd Edition)
by Prentice Hall
Hardcover (07 August, 1997)
list price: $98.00 -- our price: $87.22
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Isbn: 0132624788
Sales Rank: 435876
Average Customer Review: 3.0 out of 5 stars
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Reviews (30)

1-0 out of 5 stars Content left as an exercise
I had the "pleasure" of being exposed to this nightmare of a book in a bachelor level course. I am told that it is normal to use this book on masters-degree level, so maybe it's because I wasn't "prepared" enough for this book that my take on it is so negative. The book does have it's moments, where things are understandable, but thats mainly if the stuff is easy. There is a lack of explenations throughout the entire book. It seems the author(s) view of "explenation" is the words "it is easy to see..." or "left as an exercise"....The proof of my feelings toward this book, can be seen on the teeth-marks that decorate the books cover. Im not writing this, because I need to vent steam...I passed the course on the first try, and it is now behind me, but I advice anyone faced with this book, to seek alternatives..this book is not a teaching book, it is a telling book.
5-0 out of 5 stars A good textbook
I taught a couple of classes from the first edition of this textbook, and my students did fairly well.On the whole, they were able to understand the material and solve the homework problems.I certainly wouldn't mind teaching a class on this subject from the second edition as well, which I feel is a mild improvement over the first one.
4-0 out of 5 stars First and foremost, a math book
I enjoyed this book because I enjoy formal mathematics.This is not an applications book, but a formal study of the mathematics that underly algorithmic design and analysis.I'm no math wizard, and I found this book readable (but I had to take it very slowly).The course for which I bought the book only covered chapters 1 - 4 and glossed over the final 3 chapters, but I intend to read the rest over the summer between semesters because it's so well and thoroughly written.This book is *dense*.I had to re-read everything three times before I absorbed it all, but ultimately I've understood everything I've read.The hardest parts to understand were the formal "proofs by induction" on the lengths of strings and sets - and, as any math student knows, you can gloss over the proofs on the first reading.A lot of the formal definitions (finite automata, pushdown automata, Turing machines, context-free grammars, etc.) baffled me on the first reading, but after reviewing the examples and working through a few problems, I could go back, re-read the formal definition and understand it.
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Subjects:  1. Computational complexity    2. Computer Books: General    3. Computer Mathematics    4. Computer Science    5. Computers    6. Computers - General Information    7. Discrete Mathematics    8. Formal languages    9. Logic    10. Logic, Symbolic and mathematic    11. Machine theory    12. Computers / Programming / Algorithms    13. Mathematical theory of computation    14. Probability & statistics   

9. Introduction to Logic
by Dover Publications
Paperback (27 March, 1995)
list price: $12.95 -- our price: $10.36
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Isbn: 048628462X
Sales Rank: 107287
Average Customer Review: 4.5 out of 5 stars
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Reviews (3)

4-0 out of 5 stars Perhaps the best written written elementary book of logic
I bought the book just because my teacher of elementary philosophy in the university respected Tarski as a master of formal logic. It took me 26 years to get this book in my hands. What makes Tarski unique is, that he was a great logician and a great teacher, too.
This timeless classic by one of the five greatest logicians of all time should be owned by anyone who cares about logic - especially at this illogically low price.The Greek philosopher Aristotle (384-322 BCE), the English mathematician George Boole (1815-1864), the German mathematician Gottlob Frege (1848-1925), the Austrian-American mathematician Kurt G�del and the Polish mathematician Alfred Tarski (1901-1983) are considered to be the five greatest logicians of history.Today it is difficult to appreciate the astounding permanence of what is accomplished in the works of Aristotle, Boole, and Frege without seeing their ideas surviving in the work of a modern master.Of the two modern master logicians Tarski is by far the most suitable for this purpose since he was by far the one most interested in the articulation of the conceptual basis of logic, he was by far the one most interested in history and philosophy of logic, and he was the only one to write an introductory book attempting to explain his perspective in accessible terms. This book, together with Aristotle's Prior Analytics and Boole's Laws of Thought, should form the core of any logic library. All three are still in print and available in inexpensive paperback editions.Hackett publishes an excellent up-to-date translation of Prior Analytics by Robin Smith and Prometheus recently reprinted Laws of Thought with an introduction by John Corcoran.- Frango Nabrasa.

5-0 out of 5 stars I will always keep it as a reference
This is one of the classic introductory mathematics books. When I was learning logic, I relied on it heavily, although it was not the text for the course. Over my years as a teacher, I have consulted it often and when I was working on a recent book on logic, there were very few days when I did not open it in search of an idea or clarification. Read more

Subjects:  1. Arithmetic    2. Foundations    3. General    4. Logic    5. Mathematics    6. Philosophy    7. Science/Mathematics    8. Mathematical logic    9. Science / General   

10. How to Solve It: A New Aspect of Mathematical Method (Princeton Science Library)
by Princeton University Press
Paperback (05 April, 2004)
list price: $16.95 -- our price: $11.53
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Isbn: 069111966X
Sales Rank: 16436
Average Customer Review: 4.5 out of 5 stars
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Reviews (22)

5-0 out of 5 stars A book that teaches Math and thinking at once
Polya struck gold with this book! "How To Solve It" contains a simple, 5 step method for solving problems that's applicable in multitudes of disciplines. While the emphasis of this book is on story problems; Polya's method for problem solving is useful in areas such as computer programming, automotive troubleshooting, electronics repair, heating and cooling services, research writing, and much more.
4-0 out of 5 stars Excellent and useful book
A really helpful book that goes way beyond math. In our hurry to get through algebra we almost completely sidestep problem solving in teaching. It's true that we have `story problems' but they're usually just applications that restate the chapter's contents. That's why so many people get to a class like physical chem in college and flounder: they've never really been taught how to solve a problem only to regurgitate what's been read. This book by Polya fills in that gap.
5-0 out of 5 stars A delightful and satisfying classic
Are you like a dog with a bone when you're working on a brain teaser? After pages of scribbles, do you get a big grin on your face when you turn to the answers and say: "I'm right!" Then this book is for you.
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Subjects:  1. Advanced    2. Applied    3. Logic    4. Mathematics    5. Science/Mathematics    6. Mathematics / Logic   

11. Godel's Theorem: An Incomplete Guide to Its Use and Abuse
by A K Peters, Ltd.
Paperback (25 May, 2005)
list price: $24.95 -- our price: $24.95
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Isbn: 1568812388
Sales Rank: 20581
Average Customer Review: 4.5 out of 5 stars
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Reviews (8)

5-0 out of 5 stars Numero Uno
The Scandanavian scholarship of Torkel Franzen has brought light where there should already be light in lieu of Godel's theorem itself.I recall some odd-ball who tried to use Godel's theorem as an argument against the Apostle Paul.Dr. Franzen clarifies the meaning and purpose of Godel's theorem so that people won't use it to defend their pet ideology.It is a theorem that has been much abused.Indeed, I would argue that Kenneth Arrow's use of the theorem has caused many to take liberties they shouldn't.Kenneth Arrow, of course, knew what he was doing.However, when philosophers or professional people or even atheistic mathematicians with no background in mathematical logic think that their capacity to understand the general import of the theorem try and venture beyond it and apply it to domains incongruous with it, Dr. Franzen's labor in this short but important book is greatly needed.If you want an intellectual grasp of Godel's theorem, then this book is for you.In a sense, people cannot be blamed for their foolish conduct since hindsight is 20/20.Torkel Franzen put that hindsight in stone.

5-0 out of 5 stars Valuable Counterbalance to Widespread Misconceptions and Nonsense in Print and on the Internet
Torkel Franzen has created an immensely valuable, deeply fascinating examination of misunderstandings, misconceptions, and outright abuse of Godel's theorems found in print as well as on the Internet. He does so in a cogent, non-confrontational style that makes enjoyable reading. Godel's Theorem - An Incomplete Guide to Its Use and Abuse warrants five stars.
5-0 out of 5 stars Franzen's guide incomplete but consistently good nonetheless
For certain numbering systems, one must content oneself with either being consistent but incomplete or complete but inconsistent.
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Subjects:  1. Gèodel's theorem    2. History & Philosophy    3. Incompleteness theorems    4. Logic    5. Mathematics    6. Science/Mathematics    7. Mathematical logic   

12. Mathematical Proofs: A Transition to Advanced Mathematics
by Addison Wesley
Hardcover (28 May, 2002)
list price: $114.70 -- our price: $114.70
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Isbn: 0201710900
Sales Rank: 214347
Average Customer Review: 4.5 out of 5 stars
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Reviews (4)

4-0 out of 5 stars Mathematical Proofs
This book is concise, clearly written and easy to understand. However, I would have liked to have seen more examples of new concepts.

3-0 out of 5 stars Good book for what it is
I am currently using this book for a class right now. I find this book easy to read and work with, but wish there was more examples explaining each kind of proof. Although there are quite a few examples to the proofs, I just need a few more to work with. I am going to purchase another proof writing book to supplement this one, as this is my first dealings with proofs. All in all though, this is a good book.

5-0 out of 5 stars Mathematical Proofs:A Transition to Advanced Mathematics
I purchased this book as a preparation to take advanced courses in mathematics.It is well laid out and explains the material clearly.I especially liked the chapter on "proofs found in calculus" which explains delta epsilon proofs in a manner that is easy and understandable.Big thumbs up! ... Read more

Subjects:  1. Logic    2. Mathematical And Symbolic Logic    3. Mathematics    4. Philosophy Of Mathematics    5. Proof theory    6. Science/Mathematics    7. Set Theory    8. Mathematics / Advanced   

13. Godel, Escher, Bach: An Eternal Golden Braid
by Basic Books
Paperback (January, 1999)
list price: $22.00 -- our price: $14.96
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Isbn: 0465026567
Average Customer Review: 4.5 out of 5 stars
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Editorial Review

Twenty years after it topped the bestseller charts, Douglas R. Hofstadter's Read more

Reviews (222)

5-0 out of 5 stars AI's hardest problem...
Whenever I read a book in translation I often wonder if it's the translator I love or hate, or the author themselves.Literature in translation is essentially a complete re-writing of the book itself.Consider Lewis Carroll:How does one go about translating seemingly endless word play and words that are often made up?Now consider the fact that Alice in Wonderland had been translated into over 50 languages.If you could read all 50 languages, some would approximate your understanding of "Alice", and some would appear tangenital, or worse, dishonest to the original.
5-0 out of 5 stars Transfiguration in Print
I read this book in 1980, and each chapter of it still stands out in my mind in glittering bas-relief against all I read before or have read since. What stands out the most, however, is that my thinking changed after reading this book. Everything since reading it has been inevitably processed through its filter, which has quite simply changed my life. Perhaps a first-reading today would not have an equal effect; in 1980 it was timely. Things we take for granted now were difficult to conceptualize then--the internet, for instance. But I'll leave it for contemporary readers to decide whether Gödel, Escher, Bach: An Eternal Golden Braid is as eternal as the title claims. For me, the answer is a resounding yes. I can say without doubt that my life would have been different if I had not read it at that time.
4-0 out of 5 stars Clever (occasionally to the exclusion of accuracy)
This book is a great way to expose yourself to new ideas, but, in the words of a previous reviewer, it was written by a passionate dilettante.
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Subjects:  1. 1685-1750    2. Artificial Intelligence    3. Artificial Intelligence - General    4. Bach, Johann Sebastian,    5. General    6. Logic    7. Metamathematics    8. Philosophy    9. Speculative Philosophy    10. Symmetry    11. Cognition & cognitive psychology    12. Philosophy of science   

14. Attacking Faulty Reasoning: A Practical Guide to Fallacy-Free Arguments
by Wadsworth Publishing
Paperback (14 June, 2000)
list price: $47.95
Isbn: 0534551335
Sales Rank: 126758
Average Customer Review: 4.5 out of 5 stars
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Reviews (14)

5-0 out of 5 stars The ideal guide for making and breaking arguments
So many significant decisions are made in the workplace based on majority opinion or by the highest ranking person in the room.
3-0 out of 5 stars Even the best of us sometimes disappoint, ironically, and otherwise
As you can read from the excellent reviews of the fourth Edition of Attacking Faulty Reasoning (which anyone contemplating buying this volume should), Damer's "positive theory of argument" represents a huge breakthrough in informal logic.To my knowledge, Damer was the first to put foward a coherent schema of the fallacies of informal, organizing them as violations of four comprehensive rubrics, which stand as criteria for effective argument: 1) relevance 2) acceptability 3) sufficiency 4) resiliency (actually a change which Damer might have contemplated making in this new edition) - he uses 'rebuttal' - which, I suppose would have to be 'rebuttal-ness' - to stay in adjectival mode (appropriate to the idea of finding suitable and exhaustive 'criteria' for argument).Still, the term 'resiliency' more adequately than 'rebuttal' describes the criterion he is delineating in his theory.
5-0 out of 5 stars Invaluble for everyday life, not just the classroom...
Although I gathered that this book was written primarily as a text for logic and critical thinking courses, it helped me immensely in terms of learning how to make sense of argumentative quality in everyday life, not only the classroom.I did not read this book for a class as I have graduated college, but I found it to be a real help in determining the strengths and weaknesses in arguments and other forms of persuasive speech that we encounter daily.
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Subjects:  1. Fallacies (Logic)    2. General    3. Logic    4. Philosophy    5. Reasoning    6. Business ethics    7. Business negotiation    8. Mathematics / Logic   

15. Classical Recursion Theory, Volume II (Studies in Logic and the Foundations of Mathematics)
by North Holland
Hardcover (01 September, 1999)
list price: $181.00 -- our price: $181.00
(price subject to change: see help)
Isbn: 044450205X
Sales Rank: 630178
Average Customer Review: 3.0 out of 5 stars
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Reviews (1)

3-0 out of 5 stars Interesting but very uneven
The stated goal of the book is to have no prerequisites other than freshman math, but you really need at least undergrad logic and set theory. It is a thick book and covers a lot of interesting stuff, but there can be a frustrating lack of order and detail. He is an engaging writer, but sloppy in that he gives only part of the information you need to understand something, forgetting that he didn't give it or you don't know it. Sections are often either too sketchy or wordy and unfocused. Sometimes, though, he comes through with an elegant explanation of something. He is at his best when relating recursion theory to science, philosophy, and other branches of math. These discussions tend to be rather handwavy, but he gives references to the literature. The book as a whole is not very unified and it doesn't clearly indentify and relate the central ideas of recursion theory, so it wouldn't make a good introductory text. But it is a good reference for those with a moderate background. ... Read more

Subjects:  1. Information Theory    2. Logic    3. Mathematics    4. Recursion theory    5. Science/Mathematics    6. Computers / Information Theory    7. Mathematical logic   

16. A Mathematical Introduction to Logic, Second Edition
by Academic Press
Hardcover (December, 2000)
list price: $89.95 -- our price: $89.95
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Isbn: 0122384520
Sales Rank: 206721
Average Customer Review: 4.5 out of 5 stars
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Reviews (8)

5-0 out of 5 stars Moderately difficult and very effective
This is the most clear book on intermediate level logic that is available.I have many of the logic books that are on its level, and this one is perfect.It covers the most important, difficult concepts in the easiest way possible.It is above all clear (though very terse).It is easier than Mendelson's text but, in my opinion, as it pertains to First Order Logic and Computability Theory, one learns no more through Mendelson's approach.
3-0 out of 5 stars Readable but a bit rough
It tries to be a readable undergrad introduction and mostly succeeds. Explanations are generally not tight and memorable, proofs seem loose, there are sometimes gaps in the train of thought, and exercises often require a significant conceptual leap from the preceding text. It was particularly annoying the way he suddenly switched to Polish notation for a while and then just as suddenly dropped it, without any obvious benefit. However, it is more accessible than most mathematical logic texts. The main competition for this text would be Ebbinghaus, which I prefer. The benefits of Enderton over that book are that it covers a wider range of topics and has a lot more exercises.

5-0 out of 5 stars Terrific Book
Enderton's writing is the best I've seen in any introductory math textbook; he is lucid, well organised, comfortably paced but free of expository flab. The exercises (judging from chapters 2 and 3) are not terribly difficult, but quite useful in building one's intuition and connecting logic to other mathematics. I had the book for my Logic class as a first-semester sophomore with very little experience with proofs and no abstract algebra, and found it quite accessible. I guess the book starts off with an advantage, being about a subject as interesting as logic, but that does not seriously detract from its merit. ... Read more

Subjects:  1. Foundations Of Mathematics    2. General    3. Information Storage & Retrieval    4. Logic    5. Logic, Symbolic and mathematic    6. Logic, Symbolic and mathematical    7. Mathematical And Symbolic Logic    8. Mathematics    9. Science/Mathematics    10. Mathematical logic    11. Mathematics / General   

17. An Introduction to Mathematical Reasoning: Numbers, Sets and Functions
by Cambridge University Press
Paperback (28 January, 1998)
list price: $37.99
Isbn: 0521597188
Sales Rank: 60791
Average Customer Review: 5.0 out of 5 stars
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Reviews (7)

5-0 out of 5 stars Short and to the point
This book is excellent! It chapters are broken down into short sections and the content in each section is to the point! I also bought the book Proofs and Fundamentals by Ethan D. Bloch but found it to be long and drawn out. If you liked The Nuts and Bolts of Proofs by Antonella Cupillari then this book is for you!

5-0 out of 5 stars Very well written book
I have a mathematics degree. Like most math majors, I struggled with proofs all through college. This book really has help me understand the art of writing proofs. The book is very well written and easy to read. This is just an awesome book!!!

4-0 out of 5 stars Now I know how beautiful proofs can be
This book provides a nice introduction to mathematical reasoning and proofs. My intention on purchasing this book was to learn how to perform mathematical proofs. I believe it has achieved that purpose. The text is easy to follow and the author presents the work clearly. ... Read more

Subjects:  1. Logic    2. Mathematics    3. Number Systems    4. Number Theory    5. Proof theory    6. Science/Mathematics    7. Set Theory    8. Mathematical foundations    9. Mathematics / Combinatorics   

18. Computability, Complexity, and Languages, Second Edition: Fundamentals of Theoretical Computer Science (Computer Science and Scientific Computing)
by Morgan Kaufmann
Hardcover (03 February, 1994)
list price: $79.95 -- our price: $79.95
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Isbn: 0122063821
Sales Rank: 144543
Average Customer Review: 5.0 out of 5 stars
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Reviews (5)

5-0 out of 5 stars Pure mathematical view of Computability and Complexity
This is not a common book on Computability and Complexity as Hopcroft-Ullman, Sipser or Papadimitrou. You won't find here too many words describing topics: you'll find the power and elegance of a superlative mathematical approach from one the best authors of the century in the field. Conversely, you'll find here a detailed and elegant treatment of the whole history of computational models that starts at the Primitive Recursive Functions, something you won't find in the other books above mentioned.4-0 out of 5 stars Beautiful overview
The authors of this book define theoretical computer science as the mathematical study of models of computation, and they do an excellent job of detailing the major results in the theory of computation as related to mathematical logic. Mathematicians, programmers, and philosophers will find the book an effective one in which to learn computability theory, and it serves well as a textbook for courses in the subject. 5-0 out of 5 stars My favorite book on the theory of computation
I first learned computability from this book and I loved every minute of it. It has lots of material and is superbly written. In fact, I think the chapters on logic are the most painless way to learn that subject. Thereare many other books around on this subject, but this is the ultimate! ... Read more

Subjects:  1. Computational complexity    2. Computer Books: General    3. Computer Science    4. Computers    5. Computers - General Information    6. Formal languages    7. Information Theory    8. Logic    9. Machine theory    10. Mathematical And Symbolic Logic    11. Mathematical Programming (General)    12. Programming Languages - General    13. Science/Mathematics    14. Computers / Computer Science    15. Mathematical theory of computation    16. Programming languages   

19. Logic: A Very Short Introduction (Very Short Introductions)
by Oxford University Press, USA
Paperback (18 January, 2001)
list price: $9.95 -- our price: $9.95
(price subject to change: see help)
Isbn: 0192893203
Sales Rank: 14893
Average Customer Review: 4.0 out of 5 stars
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Reviews (25)

5-0 out of 5 stars It'll make your brain hurt......but it's a good hurt!
I've never studied logic before so this seemed like a good place to start.I don't know how you could possibly get more information into a little book this size!It's possibly the best value in a book that I've ever seen.If there's anything else to the field of logic that isn't here then I don't want to know.But be prepared to spend some time reading'll need to keep a notepad handy and you'll definitely need to re-read many sections more than once to get the full understanding.BUT....when done I can guarantee you that you'll be glad you did it.This is an excellent little book and is worth more than $10.

5-0 out of 5 stars A Very Logical Introduction
Another great entry in the Very Short Introduction series. Priest not only explains logic, he makes it both more interesting and more informative by applying it to an amazingly varied collection of topics. Among the subjects discussed are fatalism, the reality or unreality of time, vagueness, arguments for the existence of God, and paradoxes of self-reference. He covers both deduction and induction, and even includes a section on modal logic. And his analysis of the material conditional is excellent. All this in just a little more than a hundred pages. Very highly recommended.
5-0 out of 5 stars Concise, Clear, and Interesting
Graham Priest's short introduction to logic is a wonderful read.One expects a book on logic to be dreadfully boring, but Priest applies his logic to several interesting philosophical arguments, showing that logic can be useful and fun to use.
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Subjects:  1. Logic    2. Philosophical Logic    3. Philosophy    4. Philosophy / Logic    5. Philosophy | Logic & Mathematics   

20. Logistic Regression (2nd Edition)
by Springer
Hardcover (25 October, 2005)
list price: $89.95 -- our price: $64.76
(price subject to change: see help)
Isbn: 0387953973
Sales Rank: 186317
Average Customer Review: 4.5 out of 5 stars
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Reviews (5)

5-0 out of 5 stars Logistic Regression
Kleinbaum has done it again.His books are so informative and easy to understand.It is worth the money.

5-0 out of 5 stars Must have
Simply the best logistic regression book I've seen.Concepts clearly and succinctly explained and illustrated.
4-0 out of 5 stars depends on what background you are coming from...
I'm a physician learning about clinical research/biostatistics etc.I found that this book was extremely helpful in guiding me through basic rules, steps and theories on how to build a logistic regression model.The examples where straight forward, even for a person without a strong math background.However, I can also see that this would not be enough for a person set out to be a biostatistician, as this book would seem rather elementary.If you are a person with a so-so background in math and statistics, and are interested in learning to adequately perform statistical analyses with logistic regression, this is the book for you. ... Read more

Subjects:  1. Logic    2. Logistic distribution    3. Mathematics    4. Medical    5. Medical Research    6. Medicine    7. Probability & Statistics - General    8. Regression Analysis    9. Research    10. Statistical methods    11. Logistic Regresion    12. Medical / Biostatistics    13. Probability & statistics   

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