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Theorems, Corollaries, Lemmas, and Methods of Proof (Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts) by Richard J. Rossi is a book available to read on EtoBox.
What is Theorems, Corollaries, Lemmas, and Methods of Proof (Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts) about?
A hands-on introduction to the tools needed for rigorous and theoretical mathematical reasoning 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 essential 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/li> 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 Covers the basic structure of modern mathematics and the key components of modern mathematics A complete chapter is dedicated to the different methods of proof such as forward direct proofs, proof by contrapositive, proof by contradiction, mathematical induction, and existence proof
- Author
- Richard J. Rossi
- Publisher
- John Wiley & Sons, Incorporated
- Published
- 2006
- Language
- EN
- ISBN
- 9780470042953
- Subjects
- Mathematics, Stem
- Updated
- 2026-03-24
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