Foundations of Higher Mathematics by Peter Fletcher

Foundations of Higher Mathematics by Peter Fletcher

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Summary

Introducing students to the basic techniques of writing clear and correct mathematical proofs, this text features extensive coverage of induction and plenty of exercises.

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Foundations of Higher Mathematics by Peter Fletcher

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.
SKU Unavailable
ISBN 13 9780534929619
ISBN 10 0534929613
Title Foundations of Higher Mathematics
Author Peter Fletcher
Condition Unavailable
Publisher Cengage Learning, Inc
Year published 1992-01-01
Number of pages 320
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.