Reviews (1)

Excellent book from mathematical standpoint
Very good intro textbook. It gives short, detailed preps to various coding areas (linear, cyclic, convolutional). The biggest advantage this book has is that it does not throw at You tonnes of unnecessary info (like many other thick books do). That is, it assumes reader has some basic understanding of algebra and probability theory. Let's say, it gives good theoretical presentation such that the reader gets good theoretical understanding, it is not example-based. ... Read more

Subjects:  1. Advanced    2. Applied    3. Coding Theory    4. General    5. Information Theory    6. Mathematics    7. Probability & Statistics - General    8. Programming - Systems Analysis & Design    9. Science/Mathematics    10. Algebraic geometry    11. Applied mathematics    12. Codierung zur Fehlerverbesserung    13. Combinatorics & graph theory    14. Error-correcting codes    15. Mathematics / Discrete Mathematics    16. Number theory   

Reviews (2)

Well structured book
The best thing I like about this book, is that it has carefully selected subjects and rich set of exercises with detailed solutions. For the first several chapters, there are even more pages devoted to exercises+answers than the text. I think it is better to learn math by doing exercises than memorizing lots of theorems.
A Stroll Through the Old and New
Combinatorics often, but not always, involves finite sets, and the ideas of counting. But the subject of combinatorics has indeed become very large, and it has worked its way into many others parts of mathematics, computer science, science, and engineering. Bona's book, `A Walk Through Combinatorics', is a text designed for an introductory course in combinatorics. It covers the traditional areas of combinatorics like enumeration and graph theory, but also makes a real effort to introduce some more sophisticated ideas in combinatorics like Ramsey Theory and the probabilistic method.Read more

Subjects:  1. Combinatorics    2. Discrete Mathematics    3. Graphic Methods    4. Mathematics    5. Science/Mathematics   

Reviews (1)

A MUST HAVE for the design theorist
This book is an excellent collection of survey articles that spans the breadth of design theory.This book, in addition to the CRC Handbook of Combinatorial Designs should be on every design theorist's shelf. ... Read more

Subjects:  1. Combinatorial designs and conf    2. Combinatorial designs and configurations    3. Combinatorics    4. Discrete Mathematics    5. Mathematics    6. Science/Mathematics    7. Topology - General    8. Combinatorics & graph theory    9. Mathematics / Topology   

Subjects:  1. General    2. Mathematical Physics    3. Matrices    4. Physics    5. Science    6. Science/Mathematics    7. Applied mathematics    8. Combinatorics & graph theory    9. Statistical physics    10. Theoretical methods   

Reviews (1)

An engaging and useful text on an important topic.
Combinatorial algorithms are widely used in a diverse set of applications areas from engineering, the biological and physical sciences, mathematics and computation, economics, and so on. In addition to their applied nature,combinatorial algorithms often rely on sophisticated results incombinatorics and algebra and on clever data structures.This makes thetask of introducing the multi-faceted world of combinatorial algorithms adifficult one.Read more

Subjects:  1. Algebra - General    2. Algorithms    3. Algorithms (Computer Programming)    4. Combinatorial analysis    5. Combinatorics    6. Discrete Mathematics    7. Mathematics    8. Science/Mathematics    9. Applied mathematics    10. Combinatorics & graph theory    11. Mathematics / Combinatorics   

Subjects:  1. Computer Books: General    2. Computer Engineering    3. Computer Science    4. Computers    5. Computers - General Information    6. Networking - General    7. Programming - Algorithms    8. Algorithms & procedures    9. Combinatorics & graph theory   

Subjects:  1. Discrete Mathematics    2. Graphic Methods    3. Mathematics    4. Science/Mathematics    5. Set Theory    6. Combinatorics    7. Combinatorics & graph theory    8. Finte and Infinite Graphs    9. Graph Minors    10. Graph Theory    11. Mathematics / Discrete Mathematics   

Subjects:  1. Applied    2. Combinatorial analysis    3. Combinatorics    4. Computer Books: General    5. Computer Mathematics    6. Computer Science    7. Computers    8. Extremal problems (Mathematics    9. Extremal problems (Mathematics)    10. Mathematics    11. Combinatorics & graph theory    12. Diskrete Mathematik    13. Kombinatorik    14. Mathematics / Discrete Mathematics    15. computational complexity    16. discrete mathematics    17. extremal combinatorics    18. extremal set theory   

Reviews (10)

Oustanding book: an absolute must-read for any mathematician
In the preface of this book, the author comments that this book has been used successfully in high schools, colleges, graduate schools, and by professors.After reading this book, I can believe it.This book is simply a gem.
not a book for self study
I bought this book a year ago and use it to teach myself the basics.it is difficult to go thru the exercises and tests because no answers are given, and at this stage of ignorance, with no one to rely on for verification, I am left not knowing whether I am doing the right thing or thinking the correct way on the concepts presented.Otherwise, the approach of the book is novel and easy to follow.

Objects and maps are everywhere
Excellent book for non-professional mathematicians, like me (I'm a software engineer), who wants to understand modern mathematics and apply its ideas in analysis of complex problems. Lots of pictures and diagrams (compared to terse wording in other mathematical books) really help to understand and master the subject. I think most of negative reviews come from professional mathematicians, but they don't need this book. ... Read more

Subjects:  1. Geometry - Algebraic    2. Logic    3. Mathematics    4. Science/Mathematics    5. Categories (Mathematics)    6. Category theory    7. Mathematics / Combinatorics   

Reviews (2)

Ultimate book on polyominoes by the inventor.
Polyominoes is an entire sub-domain of geometrical puzzles and Even better the second time through
One of the most eagerly anticipated second editions in the history of mathematics, the wait was worth it. Literally defining a whole new area of recreational mathematics, the problems and proof techniques introduced inthe first edition have kept an entire generation of mathematical thinkersbusy. Although easily understood, some of the problems have defied solutionfor decades after the publication of the first edition in 1965. It nowappears that all of the problems listed as unsolved in the first editionhave been resolved, the last succumbing in 1993. As befits the enormousinterest in these problems, three people announced solutionssimultaneously, this reviewer being one of them.Read more

Subjects:  1. Advanced    2. Combinatorics    3. Geometry - General    4. Mathematics    5. Recreations & Games    6. Science/Mathematics    7. Combinatorics & graph theory    8. Geometry    9. Mathematics / Advanced    10. Mathematics / Geometry / General    11. Mathematics-Advanced    12. Mathematics-Combinatorics    13. Polyominoes    14. Topology   

Reviews (2)

Nice job
Combinatorics is an area of mathematics that is frequently looked on as one that is reserved for a small minority of mathematicians: die-hard individualists who shun the limelight and take on problems that most would find boring. In addition, it has been viewed as a part of mathematics that has not followed the trend toward axiomatization that has dominated mathematics in the last 150 years. It is however also a field that has taken on enormous importance in recent years do its applicability in network engineering, combinatorial optimization, coding theory, cryptography, integer programming, constraint satisfaction, and computational biology. In the study of toric varieties in algebraic geometry, combinatorics has had a tremendous influence. Indeed combinatorial constructions have helped give a wide variety of concrete examples of algebraic varieties in algebraic geometry, giving beginning students in this area much needed intuition and understanding.It is the the advent of the computer though that has had the greatest influence on combinatorics, and vice versa.The consideration of NP complete problems typically involves enumerative problems in graph theory, one example being the existance of a Hamiltonian cycle in a graph. The use of the computer as a tool for proof in combinatorics, such as the 4-color problem, is now legendary.In addition, several good software packages, such as GAP and Combinatorica, have recently appeared that are explicitly designed to do combinatorics. One fact that is most interesting to me about combinatorics is that it gave the first explicit example of a mathematical statement that is unprovable in Peano arithmetic. Before coming across this, I used to think the unprovable statements of Godel had no direct relevance for mathematics, but were only interesting from the standpoint of its foundations. excellent book !
In its usual way schaum's series gives out another book which is both helpful yet concise. This book gives the essential grounding for combinatorics and graph theory without being overly gargantuan encyclopedia..ample problems set the tone for a future mathematician. theycould've done better though..hence not the perfect 5 ! ... Read more

Subjects:  1. Calculus    2. Combinatorial analysis    3. Combinatorics    4. Discrete Mathematics    5. Mathematical Analysis    6. Mathematics    7. Outlines, syllabi, etc    8. Science/Mathematics    9. Study Guides    10. Combinatorics & graph theory    11. Mathematics / Calculus   

Subjects:  1. Combinatorics    2. Discrete Mathematics    3. Fuzzy Sets    4. Fuzzy graphs    5. Fuzzy hypergraphs    6. General    7. Graph Theory    8. Graphic Methods    9. Mathematics    10. Science/Mathematics    11. Set Theory    12. Combinatorics & graph theory    13. Databases & data structures    14. Fuzzy Graph Theory    15. Fuzzy Graphen    16. Fuzzy Graphentheorie    17. Fuzzy Hypergraph Theory    18. Fuzzy Hypergraphen    19. Fuzzy Mathematics    20. Fuzzy Mathematik    21. Knowledge-based systems / expert systems    22. Mathematics / Discrete Mathematics   

Reviews (5)

One of the best...
I first used this book as a text for a graduate course in Integer Programming. At first it seemed to be a very poorly organized book, but as I read it and grew familiar with the subject, I realized that this is a hybrid textbook-handbook. Though the title says "Integer and Combinatorial", the authors go a step ahead and present topics in advanced linear programming, computational complexity, polyhedral theory in a fashion appropriate to the learning of this subject. The exercises are challenging and it has a very good list of references (only up to 1988). Our professor had to supplement the text with recent papers to cover the latest advances. My only complaint is that model formulation could have been dealt with in more detail. You might want to use HP Williams' "Model Building in Mathematical Programming" to look up good Math Prog models. great book
Nemhauser is a great professor and this book is text book for IP. But this book requires that you are familiar with Linear programming. So read this book only after you had LP. Bertsimas book is really good for Lp. Or even Bazaara's book is a goo start. Learning, understanding, optimizing NP problem
Don't let the title fools you.This book goes beyond Integer and Combintarial optimization. While there are many books talk about NP and proof, this book makes you "understand" it! Still, I agree with others that this book is a reference tool for Integer and Combinatorial optimization.I'm so glad this book published in paperback so it will be more affordable for others.... still expensive though :( ... Read more

Subjects:  1. Discrete Mathematics    2. General    3. Mathematics    4. Science/Mathematics    5. Technology & Industrial Arts    6. Combinatorics & graph theory    7. Mathematical foundations    8. Mathematics / Discrete Mathematics    9. Mathematics for scientists & engineers    10. Optimization   

Subjects:  1. Combinatorics    2. Infinity    3. Juggling    4. Mathematics    5. Mathematics (General)    6. Number Theory    7. Science/Mathematics    8. Sequences (Mathematics)    9. Topology - General    10. Circus    11. Conjuring & magic    12. Jonglieren    13. Mathematics / General    14. Popular science   

Reviews (3)

A superb introduction to the glories of Boolean algebra
This book is an undergrad introduction to Boolean algebraic logic and Halmos, who worked hard in the area during the 1950s, is the person to write it. The book includes Halmos's monadic algebra, but remains at the undergrad level because he stops short of his full-blown polyadic algebra (on which, see Halmos's "Algebraic Logic," which AMS keeps in print and is a fine read).
Interesting view on logic
In his "automathography" Halmos described his views on logic which he had in the 1960's.He felt that logic, as usually stated, was very un-profound, unrigorous, combinatorial amusement.He felt additionally that logic could be put on a firm algebraic footing through the theory of Boolean rings.At that time he interpreted many things in logic in terms of Boolean rings.This book is, in some sense, the child of these labors.Halmos created this book in his usual easy to read style, and when he said that few prerequisites were assumed, he meant it.I found the (short) book very interesting, but I also found the introductory pages seemed to drag.Perhaps this is because I already know something about logic, but the rest of the book was interesting and self contained.This book was lighter than most logic books I've seen.These books were mainly written by philosophers in some capacity or other, and they never stopped their thick prose.

A Builder of a Solid Foundation in Mathematics
It can be strongly argued that logic is the most ancient of all the mathematical sub-disciplines. When mathematics as we know it was being created so many years ago, it was necessary for the concepts of rigidanalytical reasoning to be developed. Of the three earliest areas, geometrywas born out of the necessity of accurately measuring land plots and largebuildings and number theory was required for sophisticated countingtechniques.Logic, the third area, had no "practical" godfather, otherthan being the foundation for rigorous reasoning in the other two. In theintervening years, so many additional areas of mathematics have beendeveloped, with logic and logical reasoning continuing to be thefundamental building block of them all. Therefore, every mathematicianshould have some exposure to logic, with the simple history lessonautomatically being included. This short, but excellent book fills thatniche.Read more

Subjects:  1. Algebra - General    2. Logic    3. Logic, Symbolic and mathematic    4. Logic, Symbolic and mathematical    5. Mathematics    6. Science/Mathematics    7. Mathematical logic    8. Mathematics / Combinatorics   

Subjects:  1. Algebra - General    2. Combinatorial Analysis    3. Combinatorial designs and conf    4. Combinatorial designs and configurations    5. Combinatorics    6. Discrete Mathematics    7. General    8. Mathematics    9. Science/Mathematics    10. Combinatorics & graph theory    11. Mathematics / Combinatorics   

Reviews (4)

Solid intermediate introduction to elliptic curves
I compare this book to Rational Points on Elliptic Curves (RP) by Tate and Silverman, and The Arithmetic of Ellipitic Curves (AEC) by Silverman.
A clear, concise introduction to elliptic curves
I used this book as my main resource when writing my undergraduate dissertation on elliptic curve group structure. Although once I wanted to have a more in-depth look into any particular subject I had to chase up the references, this book made an excellent starting point. This book is a solid, clear introduction to the subject, which can be easily understood even by maths undergrads in the later years of their study (though if you're not a mathematician you may find it hard going!!) I found it be the clearest textbook on elliptic curves I came across, especially as it doesn't assume any background knowledge of algebraic geometry.

It might be a good book for a mathematic student but not a good one for an engineering student.
It might be a good book for a mathematic student but not a good one for an engineering student. There are too many mathematic jargons with very limited explanations. Many notations just take for granted that the readers have already known them. It is very hard for people who have limited math background. Moreover, there are so many editorial errors in the current version. I would suggest that the author put a mathematical symbol/sign index at the end of the book and make it easier for the readers to look for their meanings. ... Read more

Subjects:  1. Applied    2. Cryptography    3. Curves, Elliptic    4. Geometry - Algebraic    5. Mathematics    6. Number Theory    7. Science/Mathematics    8. Geometry    9. Mathematics / Combinatorics   

Reviews (1)

Does this book exist?
I am a graduate student at Western Kentucky University and the bookstore still hasn't managed to obtain any copies of this book, four weeks into the semester. I have tried twice ordering it from Amazon (both times with one day shipping) and it's just sat there in whatever warehouse they store these things in, assuming the book exists at all because at this point it seems it doesn't. Thus I have no idea how to rate the item, but since one is required I give it 5 stars because it would be worth that much to me when I take a test over the material covered next week. ... Read more

Subjects:  1. Algebra - Linear    2. Calculus    3. Combinatorics    4. Difference equations    5. Differential Equations    6. General    7. Mathematics    8. Science/Mathematics    9. Applied mathematics    10. Mathematics / General   

Reviews (3)

Witty + Concise + Useful = Excellent
This book is a refreshingly witty and concise look at--of all things--hypergeometric identities.If you have never heard of a binomial coefficient, or shudder at the thought of a double factorial, of fail to see what's so special about special functions, then you are unlikely to derive much pleasure from this volume. On the other hand, if you've encountered gamma functions, Catalan numbers, and Grobner bases, and would delight in discovering deep connections among such vastly different ideas, or if you have wondered how computers can be used to discover or verify monstrous combinatorial identities, then you've stumbled upon a book that is sure to become a favorite. Prize winning work
The mathematics described in the book "A=B"lead to the awarding of a Steele Prize by the American Mathematical Society to Herbert Wilf and Doron Zeilberger.What the authors have done is to discover a wayof using computer algebra and some mathematical ideas they and others hadearlier to make it possible to find the sum of most of the hypergeometricand basic hypergeometric series which can be summed. This method also leadsto recurrence relations when polynomial series cannot be summed.It doesnot work for all series, but most of the time it does work.This book andthe ideas in itshould be part of the working knowledge of anyone who usesspecial functions of hypergeometric or basic hypergeometric type.

Marko Petkovsek spins a brillant portrayl of data
Marko Petkovsek may be the first of a new generation of writers who bring life to a dry stle of instructional materials.Read more

Subjects:  1. Algebra - General    2. Combinatorial identities    3. Combinatorics    4. Data processing    5. Finite Mathematics    6. Mathematics    7. Science/Mathematics    8. Applications of Computing    9. Combinatorics & graph theory   

Editorial Review

Could it be true that Whitehead and Russell's Read more

Reviews (14)

A monumental tower of Babel
Poor Whitehead and Russell, trying to build a perfect, complete, self-consistent foundation for mathematics instead built one enormous, convoluted monstrosity that led to a spectacular collapse at the hands of G�del.Using cold logic (in a horribly arcane notation) they set upon themselves the task of ridding mathematics from ambiguity and counter-intuitive paradoxes such as the Banach-Tarski Paradox of 1924.Using the Zermalo-Fraenkel Axioms upon which modern mathematics is conventionally based, the Banach Tarski Paradox, resulting principally from the Axiom of Choice, states that if S and T are solid three-dimensional spheres of possibly different radii, (one a golf ball, one a basketball say), then S and T are equivalent by finite "cut and paste" decomposition.Clearly we believe this is nutty, but we are forced to live with this paradox because so many theorems of non-paradoxical mathematics depend on the Axiom of Choice.
ludicrously quixotic work
I have not read this book.I tried, having been fascinated by logic and mathematics since high school, but it has absolutely nothing to offer most people.in fact I find it hard to believe anyone has ever read this book.The 4 and 5 star reviews on this page should be taken as evidence there are some people out there with very different taste from mine, and I bet yours. In fact I have difficulty believing they are serious.
A Hallmark in the History of Mathematics and Philosophy.

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Subjects:  1. Foundations Of Mathematics    2. General    3. Logic    4. Logic, Symbolic and mathematic    5. Logic, Symbolic and mathematical    6. Mathematics    7. Philosophy    8. Philosophy Of Mathematics    9. Science/Mathematics    10. Mathematical logic    11. Mathematics / Combinatorics    12. Mathematics--Philosophy