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The art of proof in mathematics

39.99 €
Out of stock
The art of proof in mathematics
39.99 €
Proofs play a central role in higher mathematics and theoretical computer science, yet many students struggle with subjects that rely heavily on proofs. The third edition of this bestselling book helps students move from mechanical problem solving to meaningful theorem proving by teaching them the techniques needed to read and write proofs. With more than 150 new exercises and a new chapter on number theory, this expanded edition introduces students to the world of higher mathematics through the craft of proof. The book begins with the basic concepts of logic and set theory, with examples that introduce students to the language of mathematics and its interpretation. These concepts form the basis for methods that are later applied to complex inferences, including detailed step-by-step descriptions of strategies for constructing proofs of theories about properties of numbers, sets, relations, and functions. This book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and, of course, mathematicians. It is assumed that the reader has no knowledge beyond a standard high school math course.
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