Description: About this productProduct InformationThis survey of both discrete and continuous mathematics focuses onthe logical thinking skillsnecessary 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. Product IdentifiersPublisherPrentice Hall PTRISBN-100130144126ISBN-139780130144126eBay Product ID (ePID)1647215Product Key FeaturesAuthorDouglas B. West, John P. D'angeloPublication NameMathematical Thinking : Problem-Solving and ProofsFormatHardcoverLanguageEnglishFeaturesRevisedPublication Year1999TypeTextbookNumber of Pages412 PagesDimensionsItem Length9.3inItem Height0.8inItem Width6.1inItem Weight23 OzAdditional Product FeaturesLc Classification NumberQa39.2.D25 2000Edition DescriptionRevised EditionEdition Number2Table of ContentI. ELEMENTARY CONCEPTS. 1. Numbers, Sets and Functions. 2. Language and Proofs. 3. Induction. 4. Bijections and Cardinality. II. PROPERTIES OF NUMBERS. 5. Combinatorial Reasoning. 6. Divisibility. 7. Modular Arithmetic. 8. The Rational Numbers. III. DISCRETE MATHEMATICS. 9. Probability. 10. Two Principles of Counting. 11. Graph Theory. 12. Recurrence Relations. IV. CONTINUOUS MATHEMATICS. 13. The Real Numbers. 14. Sequences and Series. 15. Continuous Functions. 16. Differentiation. 17. Integration. 18. The Complex Numbers.Copyright Date2000Target AudienceCollege AudienceTopicDecision-Making & Problem Solving, General, CalculusLccn99-050074Dewey Decimal510Dewey Edition21GenreEducation, Mathematics
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Number of Pages: 412 Pages
Publication Name: Mathematical Thinking : Problem-Solving and Proofs
Language: English
Publisher: Prentice Hall PTR
Subject: Decision-Making & Problem Solving, General, Calculus
Item Height: 0.8 in
Publication Year: 1999
Features: Revised
Type: Textbook
Item Weight: 23 Oz
Author: Douglas B. West, John P. D'angelo
Subject Area: Mathematics, Education
Item Length: 9.3 in
Item Width: 6.1 in
Format: Hardcover
