UID:
edocfu_9959327328702883
Format:
1 online resource (xiii, 318 pages).
Edition:
Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2011.
ISBN:
9781118031575
,
1118031571
,
9781118030578
,
1118030575
Series Statement:
Pure and applied mathematics
Content:
"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.
Content:
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.
Content:
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"--Jacket.
Note:
Front Matter -- Introduction to Modern Mathematics -- An Introduction to Symbolic Logic -- Methods of Proof -- Introduction to Number Theory -- The Foundations of Calculus -- Foundations of Algebra -- References -- Index -- Pure and Applied Mathematics.
,
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Additional Edition:
Print version: Rossi, Richard J., 1956- Theorems, corollaries, lemmas, and methods of proof. Hoboken, N.J. : Wiley, ©2006 ISBN 9780470042953
Language:
English
Subjects:
Mathematics
Keywords:
Electronic books.
;
Textbooks.
;
Lehrbuch.
;
Electronic books.
;
Lehrbuch.
;
Textbooks.
URL:
https://onlinelibrary.wiley.com/doi/book/10.1002/9781118031575
