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" Mathematical thinking : "
John P. D'Angelo, Douglas B. West
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BL
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| Record Number
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712954
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b535143
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| Main Entry
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D'Angelo, John P
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| Title & Author
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Mathematical thinking : : problem-solving and proofs /\ John P. D'Angelo, Douglas B. West
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| Edition Statement
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Second edition
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| Publication Statement
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Upper Saddle River, NJ :: Prentice Hall,, [2000]
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, ©2000
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| Page. NO
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xx, 412 pages :: illustrations ;; 24 cm
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| ISBN
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0130144126
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: 0132449021
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: 9780130144126
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: 9780132449021
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| Bibliographies/Indexes
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Includes bibliographical references and index
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| Contents
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pt. 1. Elementary concepts. Numbers, sets, and functions -- Language and proofs -- Induction -- Bijections and cardinality -- pt. 2. Properties of numbers. Combinatorial reasoning -- Divisibility -- Modular arithmetic -- The rational numbers -- pt. 3. Discrete mathematics. Probability -- Two principles of counting -- Graph theory -- Recurrence relations -- pt. 4. Continuous mathematics. The real numbers -- Sequences and series -- Continuous functions -- Differentiation -- Integration -- The complex numbers -- From N to R
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| Abstract
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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
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| Subject
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Mathematics
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Problem solving
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Mathématiques
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Résolution de problème
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| Dewey Classification
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510
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| LC Classification
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QA39.2.D25 2000
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| Added Entry
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West, Douglas Brent
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