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.
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Offering a survey of both discrete and continuous mathematics, Mathematical Thinking begins with the fundamentals of mathematical language and proof techniques such as induction. These are applied to easily-understood questions in elementary number theory and counting. Further techniques of proofs are then developed via fundamental topics in discrete and continuous mathematics. The text can be used for courses emphasizing discrete mathematics, continuous mathematics, or a balance between the two. It contains many engaging examples and stimulating exercises.
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Book Description Pearson, 1999. Hardcover. Book Condition: New. Brand New Text!!! Never Been Used!!! This text is totally clean with no writing at all!!!. Bookseller Inventory # 92657
Book Description Pearson, 1999. Book Condition: New. Brand New, Unread Copy in Perfect Condition. A+ Customer Service! Summary: I. 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. Bookseller Inventory # ABE_book_new_0130144126
Book Description Pearson, 1999. Hardcover. Book Condition: New. book. Bookseller Inventory # 0130144126
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Book Description Pearson, 1999. Hardcover. Book Condition: New. 2. Bookseller Inventory # DADAX0130144126
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Book Description Pearson. Hardcover. Book Condition: New. 0130144126 BRAND NEW W/FAST SHIPPING! This item is: Mathematical Thinking: Problem-Solving and Proofs, 2nd Ed., 2000, by D'Angelo, John P.^West, Douglas B.; FORMAT: Hardcover; ISBN: 9780130144126. Choose Expedited for fastest shipping! Our 98%+ rating proves our commitment! We cannot ship to PO Boxes/APO address. To avoid ordering the wrong item, please check your item's ISBN number!. Bookseller Inventory # P9780130144126
Book Description Pearson, 1999. Hardcover. Book Condition: Brand New. 2nd sub edition. 412 pages. 9.50x6.50x1.00 inches. In Stock. Bookseller Inventory # zk0130144126