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

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

  • 3.89 out of 5 stars
    38 ratings by Goodreads
 
9780130144126: Mathematical Thinking: Problem-Solving and Proofs (2nd Edition)
Hardcover
ISBN 10: 0130144126 ISBN 13: 9780130144126
Publisher: Pearson, 1999

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.

"synopsis" may belong to another edition of this title.

From the Back Cover

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.

"About this title" may belong to another edition of this title.

Publisher
Pearson
Publication date
1999
Language
English
ISBN 10 
0130144126
ISBN 13 
9780130144126
Binding
Hardcover
Edition number
2
Number of pages
412
Rating
  • 3.89 out of 5 stars
    38 ratings by Goodreads

Other Popular Editions of the Same Title

9789353433093: Pearson Mathematical Thinking: Problem-solving and proofs

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ISBN 10:  9353433096 ISBN 13:  9789353433093
Publisher: PEARSON INDIA, 2019
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