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. ...
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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.
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Add this copy of Mathematical Thinking: Problem-Solving and Proofs to cart. $55.00, fair condition, Sold by Collins Books rated 5.0 out of 5 stars, ships from Seattle, WA, UNITED STATES, published 2000 by Prentice Hall.
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Seller's Description:
Fair. 412pp, octavo, dampstain to the right edge of the pages leaving rippled paper, tight binding, no marks to the text, mild soiling and wear to the boards.
Add this copy of Mathematical Thinking: Problem-Solving and Proofs to cart. $23.50, new condition, Sold by discount_scientific_books rated 5.0 out of 5 stars, ships from Sterling Heights, MI, UNITED STATES, published 1999 by Pearson.
Add this copy of Mathematical Thinking: Problem-Solving and Proofs to cart. $26.21, good condition, Sold by BGV Books LLC rated 4.0 out of 5 stars, ships from Murray, KY, UNITED STATES, published 1999 by Pearson.
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Good. Exact ISBN match. Immediate shipping. No funny business. Pics available upon request. Sewn binding. Cloth over boards. 412 p. Featured Titles for Transition to Advanced Mathematics.
Add this copy of Mathematical Thinking: Problem-Solving and Proofs (2nd to cart. $57.12, new condition, Sold by MissVinoBooks rated 4.0 out of 5 stars, ships from Elk Grove Village,, IL, UNITED STATES, published 1999 by Pearson.
Add this copy of Mathematical Thinking: Problem-Solving and Proofs (2nd to cart. $59.49, good condition, Sold by TEXTSHUB rated 5.0 out of 5 stars, ships from Franklin Lakes, NJ, UNITED STATES, published 1999 by Pearson.
Add this copy of Mathematical Thinking: Problem-Solving and Proofs (2nd to cart. $73.25, new condition, Sold by GridFreed rated 5.0 out of 5 stars, ships from North Las Vegas, NV, UNITED STATES, published 1999 by Pearson.
This book is very bad if you're trying to learn mathematical proofs for the first time. The material doesn't even help you solve the problems at the end of each chapter.
