** ** 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.

*"synopsis" may belong to another edition of this title.*

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.

*"About this title" may belong to another edition of this title.*

ISBN 10: 0130144126
ISBN 13: 9780130144126

New
Soft cover
Quantity Available: 3

Seller

Rating

**Book Description **Soft cover. Book Condition: New. International Edition. Absolutely Brand New Textbook. This is an International Edition Textbook. Fast shipping , 3-5 business days Delivery to US and Canada, 4-6 days delivery to EU and Asia countries via express service. Ship from Multiple Locations, including US, EU, ASIA for inventory purpose. We do not ship to PO/FPO/APO address. Printed in USA with High Quality Paper (not Indian edition due to B/W printing and poor quality paper). Book is printed in English, as the US edition. If US edition printed in color, our book printed in color too! Most international edition has different ISBN and Cover design. Occasionally. international textbooks may come with different exercises at the end of chapters. Some book may show some sales disclaimer word such as "Not for Sale or Restricted in US" on the cover page but it is absolutely legal to use in USA. Bookseller Inventory # 08f010132449021

More Information About This Seller | Ask Bookseller a Question

Published by
Pearson

ISBN 10: 0130144126
ISBN 13: 9780130144126

New
Hardcover
Quantity Available: 1

Seller

Rating

**Book Description **Pearson. Hardcover. Book Condition: New. 0130144126 New Condition. Bookseller Inventory # NEW6.0042487

More Information About This Seller | Ask Bookseller a Question

Published by
Pearson
(1999)

ISBN 10: 0130144126
ISBN 13: 9780130144126

New
Hardcover
Quantity Available: 1

Seller

Rating

**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

More Information About This Seller | Ask Bookseller a Question

Published by
Prentice Hall

ISBN 10: 0130144126
ISBN 13: 9780130144126

New
Quantity Available: > 20

Seller

Rating

**Book Description **Prentice Hall. Book Condition: New. Brand New. Bookseller Inventory # 0130144126

More Information About This Seller | Ask Bookseller a Question

Published by
Pearson Education (US), United States
(1999)

ISBN 10: 0130144126
ISBN 13: 9780130144126

New
Hardcover
Quantity Available: 1

Seller

Rating

**Book Description **Pearson Education (US), United States, 1999. Hardback. Book Condition: New. 2nd Revised edition. 231 x 155 mm. Language: English . Brand New Book. For one/two-term courses in Transition to Advanced Mathematics or Introduction to Proofs. Also suitable for courses in Analysis or Discrete Math. This text is designed to prepare students thoroughly in the logical thinking skills necessary to understand and communicate fundamental ideas and proofs in mathematics-skills vital for success throughout the upperclass mathematics curriculum. The text offers both discrete and continuous mathematics, allowing instructors to emphasize one or to present the fundamentals of both. It begins by discussing mathematical language and proof techniques (including induction), applies them to easily-understood questions in elementary number theory and counting, and then develops additional techniques of proof via important topics in discrete and continuous mathematics. The stimulating exercises are acclaimed for their exceptional quality. Bookseller Inventory # AAS9780130144126

More Information About This Seller | Ask Bookseller a Question

Published by
Pearson Education (US), United States
(1999)

ISBN 10: 0130144126
ISBN 13: 9780130144126

New
Hardcover
Quantity Available: 1

Seller

Rating

**Book Description **Pearson Education (US), United States, 1999. Hardback. Book Condition: New. 2nd Revised edition. 231 x 155 mm. Language: English . Brand New Book. For one/two-term courses in Transition to Advanced Mathematics or Introduction to Proofs. Also suitable for courses in Analysis or Discrete Math. This text is designed to prepare students thoroughly in the logical thinking skills necessary to understand and communicate fundamental ideas and proofs in mathematics-skills vital for success throughout the upperclass mathematics curriculum. The text offers both discrete and continuous mathematics, allowing instructors to emphasize one or to present the fundamentals of both. It begins by discussing mathematical language and proof techniques (including induction), applies them to easily-understood questions in elementary number theory and counting, and then develops additional techniques of proof via important topics in discrete and continuous mathematics. The stimulating exercises are acclaimed for their exceptional quality. Bookseller Inventory # AAS9780130144126

More Information About This Seller | Ask Bookseller a Question

Published by
Prentice Hall
(1999)

ISBN 10: 0130144126
ISBN 13: 9780130144126

New
Hardcover
Quantity Available: 1

Seller

Rating

**Book Description **Prentice Hall, 1999. Hardcover. Book Condition: Brand New. 2nd sub edition. 412 pages. 9.50x6.50x1.00 inches. In Stock. Bookseller Inventory # z-0130144126

More Information About This Seller | Ask Bookseller a Question

ISBN 10: 0130144126
ISBN 13: 9780130144126

New
Hardcover
Quantity Available: 1

Seller

Rating

**Book Description **Hardcover. Book Condition: BRAND NEW. BRAND NEW. Fast Shipping. Prompt Customer Service. Satisfaction guaranteed. Bookseller Inventory # 0130144126BNA

More Information About This Seller | Ask Bookseller a Question

Published by
Pearson
(1999)

ISBN 10: 0130144126
ISBN 13: 9780130144126

New
Hardcover
Quantity Available: 1

Seller

Rating

**Book Description **Pearson, 1999. Hardcover. Book Condition: New. 2. Bookseller Inventory # DADAX0130144126

More Information About This Seller | Ask Bookseller a Question

Published by
Pearson Education (US)

ISBN 10: 0130144126
ISBN 13: 9780130144126

New
Hardcover
Quantity Available: 1

Seller

Rating

**Book Description **Pearson Education (US). Hardback. Book Condition: new. BRAND NEW, Mathematical Thinking: Problem-solving and Proofs (2nd Revised edition), John P. D'Angelo, Douglas B. West, For one/two-term courses in Transition to Advanced Mathematics or Introduction to Proofs. Also suitable for courses in Analysis or Discrete Math. This text is designed to prepare students thoroughly in the logical thinking skills necessary to understand and communicate fundamental ideas and proofs in mathematics-skills vital for success throughout the upperclass mathematics curriculum. The text offers both discrete and continuous mathematics, allowing instructors to emphasize one or to present the fundamentals of both. It begins by discussing mathematical language and proof techniques (including induction), applies them to easily-understood questions in elementary number theory and counting, and then develops additional techniques of proof via important topics in discrete and continuous mathematics. The stimulating exercises are acclaimed for their exceptional quality. Bookseller Inventory # B9780130144126

More Information About This Seller | Ask Bookseller a Question