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Product Details:
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.
Language: English
ISBN-10: 0130144126
ISBN-13: 978-0130144126
ISBN-13: 9780130144126
Author: John P. D’Angelo, Douglas B. West
mathematical thinking problem solving and proofs solutions manual pdf
mathematical thinking problem-solving and proofs pdf
mathematical thinking problem-solving and proofs solutions
Table of content:
PART I. ELEMENTARY CONCEPTS.
Chap 1. Numbers, Sets and Functions.
Chap 2. Language and Proofs.
Chap 3. Induction.
Chap 4. Bijections and Cardinality.
PART II. PROPERTIES OF NUMBERS.
Chap 5. Combinatorial Reasoning.
Chap 6. Divisibility.
Chap 7. Modular Arithmetic.
Chap 8. The Rational Numbers.
PART III. DISCRETE MATHEMATICS.
Chap 9. Probability.
Chap 10. Two Principles of Counting.
Chap 11. Graph Theory.
Chap 12. Recurrence Relations.
PART IV. CONTINUOUS MATHEMATICS.
Chap 13. The Real Numbers.
Chap 14. Sequences and Series.
Chap 15. Continuous Functions.
Chap 16. Differentiation.
Chap 17. Integration.
Chap 18. The Complex Numbers
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