Search
Compare Prices
|
 (5.0 / 5.0) <DIV><DIV><DIV>This exploration of a notorious mathematical problem is the work of the man who discovered the solution. Written by an award-winning professor at Stanford University, it employs intuitive explanations as well as detailed mathematical proofs in a self-contained treatment. This unique text and reference is suitable for students and professionals. 1966 edition. Copyright renewed 1994.
|
$8.00 |
|
|
 (4.5 / 5.0) This book eases students into the rigors of university mathematics. The emphasis is on understanding and constructing proofs and writing clear mathematics. The author achieves this by exploring set theory, combinatorics, and number theory, topics that include many fundamental ideas and may not be a part of a young mathematician's toolkit. This material illustrates how familiar ideas can be formulated rigorously, provides examples demonstrating a wide range of basic methods of proof, and includes some of the all-time-great classic proofs. The book presents mathematics as a continually developing subject. Material meeting the needs of readers from a wide range of backgrounds is included. The over 250 problems include questions to interest and challenge the most able student but also plenty of routine exercises to help familiarize the reader with the basic ideas.
|
$28.99 |
|
|
(5.0 / 5.0) The Nuts and Bolts of Proof instructs students on the basic logic of mathematical proofs, showing how and why proofs of mathematical statements work. It provides them with techniques they can use to gain an inside view of the subject, reach other results, remember results more easily, or rederive them if the results are forgotten.A flow chart graphically demonstrates the basic steps in the construction of any proof and numerous examples illustrate the method and detail necessary to prove various kinds of theorems.
* The "List of Symbols" has been extended.<br>* Set Theory section has been strengthened with more examples and exercises.<br>* Addition of "A Collection of Proofs"
|
$30.85 |
|
|
 (3.5 / 5.0) "Proofs and Fundamentals: A First Course in Abstract Mathematics" is designed as a 'transition' course to introduce undergraduates to the writing of rigorous mathematical proofs, and to such fundamental mathematical ideas as sets, functions, relations, and cardinality. The text serves as a bridge between computational courses such as calculus, and more theoretical, proofs-oriented courses such as linear algebra, abstract algebra, and real analysis.
This 3-part work carefully balances Proofs, Fundamentals, and Extras. Part 1 presents logic and basic proof techniques; Part 2 thoroughly covers fundamental material including sets, functions, and relations; and Part 3 introduces a variety of extra topics such as groups, combinatorics, and the Peano Postulates. A gentle, friendly style is used, in which motivation and informal discussion play a key role, and yet high standards in rigor and writing are never compromised. The material is presented in the way that mathematicians actually use it; good mathematical taste is preferred to overly clever pedagogy. There is a key section devoted to the proper writing of proofs. The text has over 400 exercises, ranging from straightforward examples to very challenging proofs. The excellent exposition, organization and choice of topics will make this text valuable for classroom use as well as for the general reader who wants to gain a deeper understanding of how modern mathematics is currently practiced by mathematicians. <P>Also by the author, "A First Course in Geometric Topology and Differential Geometry", ISBN 0-8176-3840-7.
|
$36.00 |
|
|
 (4.0 / 5.0) <p> In 1913, Russian imperial marines stormed an Orthodox monastery at Mt. Athos, Greece, to haul off monks engaged in a dangerously heretical practice known as Name Worshipping. Exiled to remote Russian outposts, the monks and their mystical movement went underground. Ultimately, they came across Russian intellectuals who embraced Name Worshipping—and who would achieve one of the biggest mathematical breakthroughs of the twentieth century, going beyond recent French achievements. <p> Loren Graham and Jean-Michel Kantor take us on an exciting mathematical mystery tour as they unravel a bizarre tale of political struggles, psychological crises, sexual complexities, and ethical dilemmas. At the core of this book is the contest between French and Russian mathematicians who sought new answers to one of the oldest puzzles in math: the nature of infinity. The French school chased rationalist solutions. The Russian mathematicians, notably Dmitri Egorov and Nikolai Luzin—who founded the famous Moscow School of Mathematics—were inspired by mystical insights attained during Name Worshipping. Their religious practice appears to have opened to them visions into the infinite—and led to the founding of descriptive set theory.
The men and women of the leading French and Russian mathematical schools are central characters in this absorbing tale that could not be told until now. Naming Infinity is a poignant human interest story that raises provocative questions about science and religion, intuition and creativity. (20090310)
|
$16.24 |
|
|
(4.0 / 5.0) If you want top grades and thorough understanding of set theory and related topics, this powerful study tool is the best tutor you can have! It takes you step-by-step through the subject and gives you 530 accompanying related problems with fully worked solutions. You also get plenty of practice problems to do on your own, working at your own speed. (Answers at the back show you how you're doing.) This new edition features improved problems in the ordinals, cardinals, and transfinite series chapters, plus new coverage of real numbers and integers.
|
$9.00 |
|
|
 (2.0 / 5.0) Badiou is with doubt the most influential philosopher working in Europe today - this book will provide the first detailed introduction to Being and Event, a hugely important, but challenging book. Alain Badiou's "Being and Event" is the most original and significant work of French philosophy to have appeared in recent decades. It is the magnum opus of a thinker who is widely considered to have reshaped the character and set new terms for the future development of philosophy in France and elsewhere.This book has been written very much with a view to clarifying Badiou's complex and demanding work for non-specialist readers. It offers guidance on: philosophical and intellectual context; key themes; reading the text; reception and influence; and, further reading."Continuum Reader's Guides" are clear, concise and accessible introductions to key texts in literature and philosophy. Each book explores the themes, context, criticism and influence of key works, providing a practical introduction to close reading, guiding students towards a thorough understanding of the text. They provide an essential, up-to-date resource, ideal for undergraduate students.
|
$15.64 |
|
|
(5.0 / 5.0) <P>The third edition of this standard textbook of modern graph theory has been carefully revised, updated, and substantially extended. Covering all its major recent developments it can be used both as a reliable textbook for an introductory course and as a graduate text: on each topic it covers all the basic material in full detail, and adds one or two deeper results (again with detailed proofs) to illustrate the more advanced methods of that field.
From the reviews of the first two editions (1997, 2000):<P>"This outstanding book cannot be substituted with any other book on the present textbook market. It has every chance of becoming the standard textbook for graph theory."<P>Acta Scientiarum Mathematiciarum "The book has received a very enthusiastic reception, which it amply deserves. A masterly elucidation of modern graph theory." Bulletin of the Institute of Combinatorics and its Applications "A highlight of the book is what is by far the best account in print of the Seymour-Robertson theory of graph minors." Mathematika ". . . like listening to someone explain mathematics." Bulletin of the AMS
|
$35.00 |
|
|
Retaining all the key features of the previous editions, <STRONG>Introduction to Mathematical Logic, Fifth Edition explores the principal topics of mathematical logic. It covers propositional logic, first-order logic, first-order number theory, axiomatic set theory, and the theory of computability. The text also discusses the major results of Gödel, Church, Kleene, Rosser, and Turing.<P><STRONG>New to the Fifth Edition
This long-established text continues to expose students to natural proofs and set-theoretic methods. Only requiring some experience in abstract mathematical thinking, it offers enough material for either a one- or two-semester course on mathematical logic.
|
$67.95 |
|
|
(4.5 / 5.0) Mathematical Proofs is designed to prepare students for the more abstract mathematics courses that follow calculus. This text introduces students to proof techniques and writing proofs of their own. As such, it is an introduction to the mathematics enterprise providing solid introductions to relations, functions, and cardinalities of sets.
|
$35.00 |