Proofs from THE BOOK
Title | Proofs from THE BOOK PDF eBook |
Author | Martin Aigner |
Publisher | Springer Science & Business Media |
Total Pages | 194 |
Release | 2013-06-29 |
Genre | Mathematics |
ISBN | 3662223430 |
According to the great mathematician Paul Erdös, God maintains perfect mathematical proofs in The Book. This book presents the authors candidates for such "perfect proofs," those which contain brilliant ideas, clever connections, and wonderful observations, bringing new insight and surprising perspectives to problems from number theory, geometry, analysis, combinatorics, and graph theory. As a result, this book will be fun reading for anyone with an interest in mathematics.
Book of Proof
Title | Book of Proof PDF eBook |
Author | Richard H. Hammack |
Publisher | |
Total Pages | 314 |
Release | 2016-01-01 |
Genre | Mathematics |
ISBN | 9780989472111 |
This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity.
How to Prove It
Title | How to Prove It PDF eBook |
Author | Daniel J. Velleman |
Publisher | Cambridge University Press |
Total Pages | 401 |
Release | 2006-01-16 |
Genre | Mathematics |
ISBN | 0521861241 |
This new edition of Daniel J. Velleman's successful textbook contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software.
Introduction to Proof in Abstract Mathematics
Title | Introduction to Proof in Abstract Mathematics PDF eBook |
Author | Andrew Wohlgemuth |
Publisher | Courier Corporation |
Total Pages | 385 |
Release | 2014-06-10 |
Genre | Mathematics |
ISBN | 0486141683 |
The primary purpose of this undergraduate text is to teach students to do mathematical proofs. It enables readers to recognize the elements that constitute an acceptable proof, and it develops their ability to do proofs of routine problems as well as those requiring creative insights. The self-contained treatment features many exercises, problems, and selected answers, including worked-out solutions. Starting with sets and rules of inference, this text covers functions, relations, operation, and the integers. Additional topics include proofs in analysis, cardinality, and groups. Six appendixes offer supplemental material. Teachers will welcome the return of this long-out-of-print volume, appropriate for both one- and two-semester courses.
Proofs Without Words
Title | Proofs Without Words PDF eBook |
Author | Roger B. Nelsen |
Publisher | MAA |
Total Pages | 166 |
Release | 1993 |
Genre | Logic, Symbolic and mathematical |
ISBN | 9780883857007 |
Proof in Geometry
Title | Proof in Geometry PDF eBook |
Author | A. I. Fetisov |
Publisher | Courier Corporation |
Total Pages | 130 |
Release | 2012-06-11 |
Genre | Mathematics |
ISBN | 0486154920 |
This single-volume compilation of 2 books explores the construction of geometric proofs. It offers useful criteria for determining correctness and presents examples of faulty proofs that illustrate common errors. 1963 editions.
Mathematical Proofs
Title | Mathematical Proofs PDF eBook |
Author | Gary Chartrand |
Publisher | Pearson Educacion |
Total Pages | 400 |
Release | 2013 |
Genre | Logic, Symbolic and mathematical |
ISBN | 9780321782519 |
This book prepares students for the more abstract mathematics courses that follow calculus. The author introduces students to proof techniques, analyzing proofs, and writing proofs of their own. It also provides a solid introduction to such topics as relations, functions, and cardinalities of sets, as well as the theoretical aspects of fields such as number theory, abstract algebra, and group theory.