Foundations of Higher Mathematics
Brooks/Cole (Publisher)
2nd Edition
Published on 1. January 1992
Book
Hardback
320 pages
978-0-534-92961-9 (ISBN)
Description
This textbook introduces students to the basic techniques of writing clear and correct proofs, and features extensive coverage of induction as well as plenty of exercises. Chapter 1 distinguishes between proof by contrapositive and proof by contradiction and introduces enough logic to justify these and other methods of proof. Chapter 3 provides a thorough discussion of mathematical induction, allowing the student to master its uses. The study of equivalence relations and partitions in Chapter 4 is motivated both by geometric examples and algebraic examples. The final four chapters offer students the chance to apply what they have learned to the study of numbers, infinite sets, basic modern algebra, and real analysis.
More details
Edition
2nd Revised edition
Language
English
Place of publication
CA
United States
Publishing group
Cengage Learning, Inc
Target group
College/higher education
Professional and scholarly
Edition type
Revised edition
Illustrations
Illustrations
Dimensions
Height: 237 mm
Width: 187 mm
Weight
700 gr
ISBN-13
978-0-534-92961-9 (9780534929619)
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Schweitzer Classification
Content
The logic and language of proofs. Sets. Mathematical induction. Combinatorial proofs. Relations and orders. Functions. Countable and uncountable sets. Introduction to groups. Numbers.