Mathematical Thinking: Problem-Solving and Proofs (2nd Edition)

D'Angelo, John P., West, Douglas B.

ISBN 10: 0130144126 / ISBN 13: 9780130144126

Published by Pearson, 1999

About this Item

LIGHTNING FAST SHIPPING! A heavily used, but still working copy. Coffee stain and wrinkling to the edge of the pages when a tired undergrad fell asleep and knocked their cup over on their books. The binding and pages of the book have been reinforced with tape, has tape and stickers on the cover, as well as lots of notes (some of the answers in the learning activities may be filled in) on the pages. Definitely not pretty, but it's a working copy at a great price that ships fast. ~ Book does NOT contain an access code or CD/DVD.

Seller Inventory # #1F-000169

Bibliographic Details

• Title: Mathematical Thinking: Problem-Solving and Proofs (2nd Edition)
• Publisher: Pearson
• Publication Date: 1999
• Language: English
• ISBN 10: 0130144126
• ISBN 13: 9780130144126
• Binding: Hardcover
• Edition: 2nd Edition
• Condition: Acceptable

About this title

Synopsis

This survey of both discrete and continuous mathematics focuses on the logical thinking skills necessary to understand and communicate fundamental ideas and proofs in mathematics, rather than on rote symbolic manipulation. Coverage begins with the fundamentals of mathematical language and proof techniques (such as induction); then applies them to easily-understood questions in elementary number theory and counting; then develops additional techniques of proofs via fundamental topics in discrete and continuous mathematics. Topics are addressed in the context of familiar objects; easily-understood, engaging examples; and over 700 stimulating exercises and problems, ranging from simple applications to subtle problems requiring ingenuity. ELEMENTARY CONCEPTS. Numbers, Sets and Functions. Language and Proofs. Properties of Functions. Induction. PROPERTIES OF NUMBERS. Counting and Cardinality. Divisibility. Modular Arithmetic. The Rational Numbers. DISCRETE MATHEMATICS. Combinatorial Reasoning. Two Principles of Counting. Graph Theory. Recurrence Relations. CONTINUOUS MATHEMATICS. The Real Numbers. Sequences and Series. Continuity. Differentiation. Integration. The Complex Numbers. For anyone interested in learning how to understand and write mathematical proofs, or a reference for college professors and high school teachers of mathematics.