Theorems, corollaries, lemmas, and methods of proof / Richard J. Rossi.
"Successfully addressing the frustration many students experience as they make the transition from computational mathematics to advanced calculus and algebraic structures, Theorems, Corollaries, Lemmas, and Methods of Proof equips students with the tools needed to succeed while providing a firm...
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Main Author: | |
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Format: | Book |
Language: | English |
Published: |
Hoboken, N.J. :
Wiley,
[2006]
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Subjects: |
Summary: | "Successfully addressing the frustration many students experience as they make the transition from computational mathematics to advanced calculus and algebraic structures, Theorems, Corollaries, Lemmas, and Methods of Proof equips students with the tools needed to succeed while providing a firm foundation in the axiomatic structure of modern mathematics." "This book: clearly explains the relationship between definitions, conjectures, theorems, corollaries, lemmas, and proofs; reinforces the foundations of calculus and algebra; explores how to use both a direct and indirect proof to prove a theorem; presents the basic properties of real numbers; discusses how to use mathematical induction to prove a theorem; identifies the different types of theorems; explains how to write a clear and understandable proof; and covers the basic structure of modern mathematics and the key components of modern mathematics" "Intended as a main text for mathematics courses such as Methods of Proof, Transitions to Advanced Mathematics, and Foundations of Mathematics, the book may also be used as a supplementary textbook in junior- and senior-level courses on advanced calculus, real analysis, and modern algebra."--BOOK JACKET. |
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Physical Description: | xiii, 318 pages ; 25 cm |
Bibliography: | Includes bibliographical references (pages 309-310) and index. |
ISBN: | 0470042958 9780470042953 |