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Books - Reference - Study Guides - Extremely Good Mathematics Education For Dirt Cheap |
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Schaum's Outline of Set Theory and Related Topics by SeymourLipschutz, Seymour Lipschutz Average Customer Review: Paperback (01 July, 1998) list price: $16.95 -- our price: $11.53 (price subject to change: see help) US | Canada | United Kingdom | Germany | France Reviews (4)
All you need and more In addition to the solved problems, there are supplementary problems to test your understanding of the material.At the end of each chapter, the answers are printed for you to check your work. The discussions of set theory include definitions to ensure that you are familiar with the lingo.There are also plenty of examples to illustrate the author's meaning.With all the information on set theory, there are also chapters on quantifiers, boolean algebra, logical reasoning, and the algebra of propositions. This book provides some good assistance in learning set theory.
Provides essential knowledge to e-commerce security pros I am an IT consultant so, although this book has a much wider audience, I am focusing my review on how this book applies to IT.Because many e-commerce systems are being designed using role-based access controls that are independent of any specific application it is essential that the designers have a thorough understanding of set theory. As such, I think this book is an indispensable quick reference guide for IT security specialists, system architects and QA team members who need to brush op on the subject. These folks design, validate and verify systems that require strong security from within and outside of their organizations.This type of work requires a provably correct design that can only be approached with set theory.Moreover, the testing of the design, as implemented, also requires an understanding of this subject in order to develop a viable test strategy and produce test cases.Given the fact that most IT professionals are not versed in set theory, this book is one of the quickest ways to get up-to-speed. Among the highlights of this book are: the paradoxes in set theory, which is "must reading" regardless of how you intend to use the knowledge and skills that this book provides, algebra of propositions and logical reasoning. This book is clearly written, however, the material requires a strong dedication to learning because the subject is complex and dry. No author, regardless of his or her writing skills can change that.If you need to understand set theory and don't know where to begin, this book is one of the best starting points I have come across.
excellent book for non-mathematicians Isbn: 0070381593 |
$11.53 |
Fundamental Concepts of Geometry (Addison-Wesley Mathematics Series.) by Bruce E. Meserve Paperback (01 May, 1983) list price: $11.95 -- our price: $9.56 (price subject to change: see help) US | Canada | United Kingdom | Germany | France Isbn: 0486634159 |
$9.56 |
The Penguin Dictionary of Mathematics (Penguin Reference Books) by Nelson, R. D. Nelson, David Nelson Average Customer Review: Paperback (01 June, 1999) list price: $16.00 -- our price: $16.00 (price subject to change: see help) US | Canada | United Kingdom | Germany | France Reviews (2)
Handy reference
Really, really helpful! Isbn: 0140513426 |
$16.00 |
Schaum's Outline of Linear Algebra by SeymourLipschutz, MarcLipson Average Customer Review: Paperback (06 December, 2000) list price: $16.95 -- our price: $16.95 (price subject to change: see help) US | Canada | United Kingdom | Germany | France Reviews (12)
too many wrong solutions
Good for all science/Linear Algebra courses and exams
Very nice book for theory review Isbn: 0071362002 |
$16.95 |
Mathematics: From the Birth of Numbers by Jan Gullberg Average Customer Review: Hardcover (01 October, 1997) list price: $50.00 -- our price: $31.50 (price subject to change: see help) US | Canada | United Kingdom | Germany | France Editorial Review What does mathematics mean? Is it numbers or arithmetic, proofs or equations? Jan Gullberg starts his massive historical overview with some insight into why human beings find it necessary to "reckon," or count, and what math means to us. From there to the last chapter, on differential equations, is a very long, but surprisingly engrossing journey. Mathematics covers how symbolic logic fits into cultures around the world, and gives fascinating biographical tidbits on mathematicians from Archimedes to Wiles. It's a big book, copiously illustrated with goofy little line drawings and cartoon reprints. But the real appeal (at least for math buffs) lies in the scads of problems--with solutions--illustrating the concepts. It really invites readers to sit down with a cup of tea, pencil and paper, and (ahem) a calculator and start solving. Remember the first time you "got it" in math class? With Mathematics you can recapture that bliss, and maybe learn something new, too. Everyone from schoolkids to professors (and maybe even die-hard mathphobes) can find something useful, informative, or entertaining here.--Therese Littleton ... Read more Reviews (51)
Numbers, numbers, everywhere...
Its a good "general intrest" math book, but nothing more.
Impressive Overview of Mathematics Wow.Gulberg does it with style.Brief historical anecdotes, Maybe this book tested the limits of Dr Gulberg's mathematical No, this book doesn't include a lot of graduate school math. I think it will serve me well as a reference for when my children Kudos, Doc. ... Read more Isbn: 039304002X |
$31.50 |
Schaum's Outline of Probability, 2nd Edition by SeymourLipschutz Average Customer Review: Paperback (21 March, 2000) list price: $16.95 -- our price: $11.53 (price subject to change: see help) US | Canada | United Kingdom | Germany | France Reviews (8)
a weaker schaum's outline Like other schaum's it is riddled with typographical errors and there is no errata. Eg. Appearing twice: Correlation(X,Y) = Cov(X,Y) / E(X)E(Y). Even at their worst, I still find the schaum's guides (this one included) better than a typical textbook with the same scope. This one, however, the problem is scope.
Better than most porbability texts
Too basic - non standard My real complaint with this book is the notations used to represent some equations are non-standard. As well it is quite heavy on the mathematical shortcuts like I felt its definition of random variables was poor and quite vague, and what little time is spent on them is single discrete random variables. Also the mathematical shortcuts are a nuisance since the non-standard notation being used, I found myself going back and wonder what capital Gamma and Phi were defined as. There are millions of (easy) examples in this book, and as a graduate student this book had little to offer me except some frustration. I gave it 3 stars since I think that when I was in high school, the mathematical notation would have intimidated me, but it does have some useful examples. (I most likely would have given it 1 star back then) If you are looking for a better book (Schaums) than this, try This book is just too basic and too complicated at the same time, but does have some value. ... Read more Isbn: 0071352031 |
$11.53 |
Mathematical Techniques by D. W. Jordan, Peter Smith Average Customer Review: Paperback (15 July, 2002) list price: $44.50 -- our price: $41.78 (price subject to change: see help) US | Canada | United Kingdom | Germany | France Reviews (3)
Good text reference A few problems though: a proper treatment on sequences and series is absent, l'Hopital's rule is not discussed either (both presumably because they are too pure maths for engineering, but some advanced engineering maths courses do use them), and there are some topics (like Simpson's rule) that are only discussed in problems sections but not in the main text.
Very sloppy textbook The book is surprisingly inexpensive, however. Perhaps it cost less to publish since proofreaders were not utilized.
Remarkably Clear And Comprehensive Mathematics Primer Beginning withdifferentiation and integration, the text continues on its mathematicaljourney, taking the reader through complex numbers, linear algebra,differential equations, even LaPlace transforms and Fourier series. It thenends with overview chapters on such varied topics as graph theory, settheory, boolean algebra, probability and statistics. In addition there is asection devoted to using symbolic computing with applications such asMathematica, which are essential to anyone interested in learning or usingmathematics today. The overall look of the book is exquisite. Thetypefaces, equations and graphs are a pleasure to the eye (even as theygrow substantially in complexity). The prose discusses the subject matterwith rigor, yet is easy to read and guides gradually andcarefully. Anyone wishing to review the fundamentals of mathematics or tofurther the education started through school will find this book to be ajoy to go through. Solutions to many exercises are provided in anappendix. The softcover edition is highly durable. Upon completion ofevery chapter the reader will have substantial expertise in or exposure tomajor branches and topics of mathematics. For this wealth of information tohave so low a cost is remarkable. Highest possible recommendation, withsuperlative marks in virtually all categories of review. ... Read more Isbn: 0199249725 |
$41.78 |
Schaum's Outline of Operations Research by RichardBronson, GovindasamiNaadimuthu Average Customer Review: Paperback (01 July, 1997) list price: $16.95 -- our price: $11.53 (price subject to change: see help) US | Canada | United Kingdom | Germany | France Reviews (2)
Schaum's Outline of Operations Research
Solved problems book Isbn: 0070080208 |
$11.53 |
Schaum's Outline of Discrete Mathematics (Schaum's) by SeymorLipschutz, MarcLipson, Seymor Lipschutz, Marc Lipson Average Customer Review: Paperback (01 June, 1997) list price: $16.95 -- our price: $11.53 (price subject to change: see help) US | Canada | United Kingdom | Germany | France Reviews (4)
Not a 5 star!
Too Simple
Overall, a good study aid Isbn: 0070380457 |
$11.53 |
Mathematical Foundations of Information Theory by A. I. Khinchin Average Customer Review: Paperback (01 June, 1957) list price: $8.95 -- our price: $8.95 (price subject to change: see help) US | Canada | United Kingdom | Germany | France Reviews (2)
A clear exposition of Shannon's results by a great mathemati In his "Mathematical Foundations" books Khinchin develops a sound mathematical structure for the subject under discussion based on the modern theory of probability. His primary reason for doing this is the lack of mathematically rigorous presentation in many textbooks on these subjects. This book contains two papers written by Khinchin on the concept of entropy in probability theory and Shannon's first and secondtheorems in information theory - with detailed modern proofs. Like all Khinchin's books, this one is very readable. And unlike many recent books on this subject the price is very cheap. Two minor complaints are: lack of an index, and typesetting could beimproved.
More rigorous version of Shannon 1948 paper Isbn: 0486604349 |
$8.95 |
On Formally Undecidable Propositions of Principia Mathematica and Related Systems by Kurt Gödel Average Customer Review: Paperback (01 April, 1992) list price: $6.95 -- our price: $6.95 (price subject to change: see help) US | Canada | United Kingdom | Germany | France Reviews (10)
For the history buff
Unbelievable theorem
From the horse's mouth, 'le text' Isbn: 0486669807 |
$6.95 |
Fundamentals of Number Theory by William J. LeVeque Average Customer Review: Paperback (07 February, 1996) list price: $12.95 -- our price: $10.36 (price subject to change: see help) US | Canada | United Kingdom | Germany | France Reviews (4)
If you actually like number theory...
Good for self teaching
Deceptive Title Isbn: 0486689069 |
$10.36 |
Schaum's Outline of Vector Analysis by Murray R. Spiegel Average Customer Review: Paperback (01 June, 1968) list price: $17.95 -- our price: $12.21 (price subject to change: see help) US | Canada | United Kingdom | Germany | France Reviews (7)
It depends...
An outstanding tutorial reference The learning curve is very gentle - really nothing is assumed about the reader's background beyond basic integral and differential calculus. The concepts of vectors are introduced one by one, and the book builds logically towards its final stages (introductory tensor analysis) via, inter alia, dot and cross products, partial differential operators on vector spaces (grad, div, curl, Laplacian etc.), line and surface integrals (along with vital allied therorems such as Stokes' and Green's theorems), and general theory of curvilinear coordinate systems (in which the differential operators are refined and generalised). This book is absolutely ideal for an undergraduate course in Physics, Electronic Engineering or Vector Analysis.
Best book on Vector Analysis... Isbn: 007060228X |
$12.21 |
Yet Another Introduction to Analysis by Victor Bryant Average Customer Review: Paperback (28 June, 1990) list price: $32.99 -- our price: $32.99 (price subject to change: see help) US | Canada | United Kingdom | Germany | France Reviews (4)
Great Introduction
Basic Real Analysis unleashed
Exposes Mathematical Analysis Without Set Theory Background One of the most important considerations prior to taking an analysis course is the level of background and understanding of mathematical logic. Set theory, a branch of mathematical logic, is in fact the basis of calculus as well. Due to an emphasis upon computations, however, the highest grades in calculus are possible without understanding, or even knowing of, this underlying foundation. This work is unique among those introducing analysis, in that it does not require a background in set theory. It in fact teaches numerous fundamental concepts of set theory, without stating that it is doing so. Examples provided are based on daily concrete experience, yet are altered for purposes of mathematical instruction. These descriptions are sufficiently general as to prepare the reader for when formal set theory is introduced in more rigorous textbooks. In addition to being an extremely readable and accessible work,solutions and hints are provided for every review question for every section of the book. This is in stark contrast to textbooks on the subject, which, while costing several times more, are typically designed for a classroom setting, and so leave all questions unanswered. This self-testing of the understanding of each section is crucial for subject matter requiring such attention to detail and precision. The numerous illustrations throughout the book are rendered clearly and with instructional purpose, yet are often drawn by hand, adding to the sense of familiarity with the author. All of the basic subject matter for a course on analysis is provided, yet has been specifically tailored for a reader in the stages of preparation, of review after completion, or one who is simply inquisitive as to what is required to comprehend analysis successfully. The softcover edition is durable and portable, and the book remains in excellent condition through numerous readings, which it will almost certainly go through. If you have been required to take an analysis class but left it with only a vague sense of its underpinnings, you may wish to go through this work when time permits. For the price of the book, the information and instruction provided is truly outstanding. This text receives the highest marks in all categories. ... Read more Isbn: 052138835X |
$32.99 |
Schaum's Outline of Modern Abstract Algebra (Schaum's) by FrankAyres Average Customer Review: Paperback (01 June, 1965) list price: $16.95 -- our price: $11.53 (price subject to change: see help) US | Canada | United Kingdom | Germany | France Reviews (5)
mm, not quite what I was hoping for... Ploughing through a course text proper would better serve the serious student of mathematics. There areother well-written books devoted to solved problems in algebra (group/ring theory, for instance). It's just amatter of scoping them out carefully, and dishing out the money (for photocopies, even).
Not Great
Very well explained The only problem I have with the book is that not all the supplementary exercises (to test your understanding) have the answers.Some have an answer, some have a partial answer, some have a hint, and some have nothing.This is a little aggravating, but it does not take away from the book. ... Read more Isbn: 0070026556 |
$11.53 |
Geometry, Relativity, and the Fourth Dimension by Rudolf V.B. Rucker Average Customer Review: Paperback (01 January, 1977) list price: $7.95 -- our price: $7.15 (price subject to change: see help) US | Canada | United Kingdom | Germany | France Reviews (12)
an extra dimension
Good but Missing a Few Things There are times when I wish the author would have pressed a little harder one some seemingly simple points. Maybe by giving an alternative view. For example, early on in the book he talks about a flatlander being inside a balloon as he expands the balloon from the inside. Suddenly the flatlander is on the outside. Maybe it's me, but how that happens is not clear. I've found other such passages. However, a studious reader will find the topics interesting. The price is certainly right.
Weird in all the right ways This particular book is published by Dover, and it's not one of their usual reprints; it was _originally_ published by Dover. (In 1977, but the geometry of spacetime hasn't changed much since then.) It's an exploration of just what the title says: the geometry of the four-dimensional spacetime that the theory of relativity says is Really Out There. Well, this is a good book on the subject, but you can get others (although one of the best -- Cornelius Lanczos's delightful _Space Through the Ages_ -- has long been out of print). What's coolest about this one is that Rudy Rucker wrote it. Which means you get those little bombs thrown in at all the right places. Of course Rucker gives you what any competent mathematician will give you -- a sound introductory presentation of the mathematics of 4D spacetime and relativity theory, which are weird enough if you haven't encountered them before (and maybe even if you have) -- but he doesn't stop there. You also get an argument that the apparent passage of time is an illusion, and a little speculation about how this might tie in with the Many-Worlds Interpretation of quantum mechanics. And even that isn't all: you get a suggestion that it's possible to _develop a spacetime consciousness_ via some sort of meditation techniques or mystical insight, together with an entry in the annotated bibliography referring you (cautiously) to Robert A. Monroe's _Journeys Out of the Body_, whose experiments Rucker himself has tried. It's like Raymond Smullyan on acid, if you know what I mean. But honest, it really does make sense. And it really will knock your mind loose from your brain even without the use of chemical aids. This is the sort of thing Rucker does best. He does it in _Infinity and the Mind_, too (with which this volume has a little bit of overlap, but you won't care). Check out that book as well, along with _White Light_. Mathematical hippie mysticism just doesn't get any better. ... Read more Isbn: 0486234002 |
$7.15 |
The Computational Beauty of Nature: Computer Explorations of Fractals, Chaos, Complex Systems, and Adaptation by Gary William Flake Average Customer Review: Paperback (31 January, 2000) list price: $40.00 -- our price: $34.77 (price subject to change: see help) US | Canada | United Kingdom | Germany | France Reviews (13)
21st Century Science
Interesting Topics Favorite things about this book
Real "How Nature Works". Already is "Legend in the Making." This Computational Beauty of Nature (CBofN) covered a lot of topics. Ranged from brief introduction to Computation Theory, Fractals, Chaos, Complexity, Adaptation. (See the Table of Content for more details). All topics are written in surprisingly clear and very understandable manner. With as little Math as possible. (From my opinion, these topics cannot be completely understood without Mathematics -- The Language of Nature). Therefore, it is also accessible to layperson. This book does not, however, go so deep into each subject. (You won't expect it to do that with its less-than 500 pages, don't you? :-) Instead, it does give nice backgrounds, fundamental knowledge, and important ideas for each. So, if you are interesting in any of the subjects presented here, you can go on to the more specialized books on your own. One of the nicest feature of this book, which can hardly be found in other text, is that the it does show how things work together, where and why. For example, natural phenomena like adaptation, evolution, computation, and some other things else related to each other. How can one view this from that perspective, and vice versa. etc. One other nice feature of this book is, you can really play with almost all concepts using a number of computer programs. All the programs are downloadable (with source code, under GNU license) from the book's homepage. So, you can reproduce almost all the figures from the book. However, for one thing, the homepage address given in the book, in the edition/printing I have is incorrect. Maybe MIT Press had changed the structure of their website or something... ...you can still search for it using your favourite web-search engine. About the website, all the good things are there as well, including errata. (Of course, Perfect things are very rare in Nature... So, books with some errors are ok. The thing that matter is the authors know it/admit it and tell the readers or not). Conclusion: If you want to understand "How Nature Works" from the computational point of view. If you interested in Chaos theory, Fractals and Complexity. Then, make no mistake, you can't go wrong with this one. (And, get the hardcover edition, because you will read it, read it, read it again, and keep refering to it. So the paperback edition probably can't endure that :-) I want to give it more stars if I only could. This book will always get the highest rating possible from me wherever and whenever I review it. Nature herself is so beautiful. So, it's time to get to know her, to learn about her and to understand her! And this book just did it, in such a way that can hardly be better! ... Read more Isbn: 0262561271 |
$34.77 |
Introduction to Symbolic Logic and Its Applications by Rudolf Carnap Average Customer Review: Paperback (01 June, 1958) list price: $10.95 -- our price: $8.76 (price subject to change: see help) US | Canada | United Kingdom | Germany | France Reviews (4)
A real bargain by a true master This is his intro text, a doubtful first text, but full of insight for those who already know some logic. Carnap trained as a mathematician; surprisingly, his text is of value mainly for philosophers. For instance, this is the ONLY undergrad logic text I know that grapples with the intension-extension dichotomy, with the Carnap-Morris syntax-semantics-pragmatics trichotomy. Metatheory is nonexistent, and Carnap's notion of proof is emphatically too casual for my taste. Part II of the book is without parallel anywhere: an introduction to a very wide range of axiomatic theories, presented as interesting applications of modern formal logic. This is a wonderful reference for ZF set theory, Peano axioms, Tarski's axioms for the reals, the Hausdorff- Bohnenblust axioms for topology, axioms for geometry, space-time, and mirabile dictu, even mereology. Other texts present at most the first 2 items on this list.
good books
Learning logic as language L Isbn: 0486604535 |
$8.76 |
What is Mathematical Logic? by C. J. Ash, J. N. Crossley, C. J. Brickhill, J. C. Stillwell, N. H. Williams Average Customer Review: Paperback (01 August, 1990) list price: $6.95 -- our price: $6.95 (price subject to change: see help) US | Canada | United Kingdom | Germany | France Reviews (3)
No-nonsense survey of logic
Six Rigorous Lectures - Not for the Faint-Hearted The six chapters are derived from a series of lectures given by the five authors - J. N. Crossley, C. J. Ash, C. J. Brickhill, J. C. Stillwell, and N. H. Williams - at Monash University and University of Melbourne in 1971.The lectures were substantially revised for publication. Only the first chapter, a detailed historical survey of mathematical logic, can be readily appreciated by the non-mathematician. The remaining five chapters examine advanced topics in mathematical logic including the Godel-Henkin Completeness Theorem, Model Theory, Turing machines and recursive functions, Godel's Incompleteness Theorem, and advanced set theory. Chapter 2 introduces the Godel-Henkin Completeness Theorem, a proof that predicate calculus is complete. Chapter 2 is not easy, but it is essential to acquire a reasonable familiarity with predicate calculus before moving forward. Chapter 3 offers a detailed look at model theory, the study of relations between formal languages and the interpretation of formal languages. Topics include Predicate Calculus with Identity, the Compactness Theorem, and the Lowenheim-Skolem Theorems. I had substantial difficulty with the details, but I did gain a general understanding and appreciation for model theory. Chapter 4 addressed in considerable detail a more familiar topic, Turing machines and recursive functions. The discussion concludes with a key proof: there is no algorithm which will enable us to decide, given any particular formula of predicate calculus, whether or not this particular formula is deducible from the axioms of predicate calculus. Chapter 5 was a detailed examination of Godel's Incompleteness Theorem for formal systems that include arithmetic of the natural numbers. I had less difficulty with this topic as I had previously read Godel's Proof by E. Nagel and J. R. Newman. This chapter would very likely be tough going for a reader entirely new to Godel's exceeding complex and abstruse proof. Chapter 6, titled Set Theory, might be better named Advanced Set Theory. I was entirely new to the Axiom of Choice and the Generalized Continuum Hypothesis. I highly recommend this intriguing and lively look at mathematical logic to readers with some familiarity with this rather formidable subject. For readers new to mathematical logic, I suggest that the following books might be better starting points. Foundations and Fundamental Concepts of Mathematics by Howard Eves is outstanding. The chapter titled Logic and Philosophy is an excellent introduction to mathematical logic. The Advent of the Algorithm by David Berlinski is an eclectic, rather bizarre introduction to a complex mathematical topic. Although many reader reviewers aggressively criticize this book, I enjoyed puzzling my way through Berlinski's discursive discussions. Godel's Proof by Ernest Nagel and James R. Newman offers a fascinating look at a mind boggling, incredibly complex, inventive mathematical proof.
Dense but readable Results are clearly and carefully stated; and while sketches of proofs have a hard time staying nontechnical and still meaningful, most such attempts are admirable. A marvel of brevity while not watering anything down. ... Read more Isbn: 0486264041 |
$6.95 |
Computability and Unsolvability (Mcgraw-Hill Series in Information Processing and Computers.) by Martin Davis Average Customer Review: Paperback (01 November, 1982) list price: $14.95 -- our price: $10.17 (price subject to change: see help) US | Canada | United Kingdom | Germany | France Reviews (2)
Another Dover classic reprint at a bargain price.
Mapping the Outer Limits of Computation The result for philosophyis establishment of absolutely unsolvable problems and undecidablequestions, even ones that can be completely and precisely formulated usingrigorous logic.The result for computing is problems that are absolutelyunsolvable by use of a computer program. So what problems aretheoretically solvable by a computer program?First, the Universal TuringMachine (UTM) is presented along with the famous demonstration that alluniversal computers are equivalent in the sense that any one of them can bemade to simulate any of the others, using a suitable representation. So,if we establish that the computer we have at hand is a universal computer,we can be confident that, in principle, anything that any computer cancompute, this one can also. The book goes on to address what evenuniversal computers can't do.The most well-known result incomputer-science circles is the unsolvability of the halting problem.Thatis, if the computer is powerful enough to be universal, one of itslimitations is the impossibility of an algorithm that will determinewhether any program for that machine will always terminate for all inputs. It is as if the price of universality is the inevitability of programs thatwon't finish, along with having no absolute way of telling whetherarbitrary given programs will finish or not. Davis maps the boundarybetween the impossible (the unsolvable) and the merely inhumanly difficult(the computable).With that foundation, one can move on to other work thatintroduces what has been learned about computational complexity and how toapply the analysis of algorithms to finding computational methods that arepractical and no more complex than absolutely necessary. The book is anessential part of my library because of its availability and its standingas a fundamental reference in the theory of computation.Church's Thesisand the development of effective computability via the lambda-calculus andcombinatory logic is neglected more than suits me.Available supplementaryreferences are needed for access to those alternative formulations thatpromise to bear directly on having operational, practical computer systemsthat function at the limits of computability. ... Read more Isbn: 0486614719 |
$10.17 |
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Books - Reference - Study Guides - Extremely Good Mathematics Education For Dirt Cheap (images) |
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