Mathematical Thinking:Problem-Solving and Proofs  -  D'Angelo John; West Douglas

Problem-Solving and Proofs (2nd Edition)

KORTE INHOUD

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 Co...
2000 Taal: Engels zie alle details...

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2000 Uitgever: Financial Times Prentice Hall 412 paginas Taal: Engels Grootte:  10x10x10 ISBN-10: 0130144126 ISBN-13: 9780130144126
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