How to Think Like a Mathematician Paperback: A Companion to Undergraduate Mathematics

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9780521719780: How to Think Like a Mathematician Paperback: A Companion to Undergraduate Mathematics

Looking for a head start in your undergraduate degree in mathematics? This friendly companion eases beginning students into real mathematical thinking, unlocking important techniques for effective mathematics so you can communicate with clarity, solve problems, and explore the world of definitions, theorems and proofs with real confidence.

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Review:

"In this book, Houston has created a primer on the fundamental abstract ideas of mathematics; the primary emphasis is on demonstrating the many principles and tactics used in proofs. The material is explained in ways that are comprehensible, which will be a great help for people who seem to hit the wall regarding what to do when confronted with the creation of a proof... In this book, Houston takes a systematic and gentle approach to explaining the ideas of mathematics and how tactics of reasoning can be combined with those ideas to generate what would be considered a convincing proof."
Charles Ashbacher, Journal of Recreational Mathematics

"The author provides concise, crisp explanations, including definitions, examples, tips, remarks, warnings, and idea-reinforcing questions. Houston expresses thoughts clearly and concisely, and includes succinct remarks to make points, clarify arguments, and reveal subleties."
W.R. Lee, Choice Magazine

About the Author:

Kevin Houston is Senior Lecturer in Mathematics at the University of Leeds.

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Editorial: CAMBRIDGE UNIVERSITY PRESS, United Kingdom (2009)
ISBN 10: 052171978X ISBN 13: 9780521719780
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Descripción CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2009. Paperback. Estado de conservación: New. 244 x 188 mm. Language: English . Brand New Book. Looking for a head start in your undergraduate degree in mathematics? Maybe you ve already started your degree and feel bewildered by the subject you previously loved? Don t panic! This friendly companion will ease your transition to real mathematical thinking. Working through the book you will develop an arsenal of techniques to help you unlock the meaning of definitions, theorems and proofs, solve problems, and write mathematics effectively. All the major methods of proof - direct method, cases, induction, contradiction and contrapositive - are featured. Concrete examples are used throughout, and you ll get plenty of practice on topics common to many courses such as divisors, Euclidean algorithms, modular arithmetic, equivalence relations, and injectivity and surjectivity of functions. The material has been tested by real students over many years so all the essentials are covered. With over 300 exercises to help you test your progress, you ll soon learn how to think like a mathematician. Nº de ref. de la librería AAA9780521719780

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Descripción Cambridge University Press 2009-02-12, 2009. Estado de conservación: New. Brand new book, sourced directly from publisher. Dispatch time is 24-48 hours from our warehouse. Book will be sent in robust, secure packaging to ensure it reaches you securely. Nº de ref. de la librería NU-BER-00094261

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Descripción CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2009. Paperback. Estado de conservación: New. 244 x 188 mm. Language: English . Brand New Book. Looking for a head start in your undergraduate degree in mathematics? Maybe you ve already started your degree and feel bewildered by the subject you previously loved? Don t panic! This friendly companion will ease your transition to real mathematical thinking. Working through the book you will develop an arsenal of techniques to help you unlock the meaning of definitions, theorems and proofs, solve problems, and write mathematics effectively. All the major methods of proof - direct method, cases, induction, contradiction and contrapositive - are featured. Concrete examples are used throughout, and you ll get plenty of practice on topics common to many courses such as divisors, Euclidean algorithms, modular arithmetic, equivalence relations, and injectivity and surjectivity of functions. The material has been tested by real students over many years so all the essentials are covered. With over 300 exercises to help you test your progress, you ll soon learn how to think like a mathematician. Nº de ref. de la librería AAA9780521719780

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Descripción Cambridge University Press. Paperback. Estado de conservación: new. BRAND NEW, How to Think Like a Mathematician: A Companion to Undergraduate Mathematics, Kevin Houston, Looking for a head start in your undergraduate degree in mathematics? Maybe you've already started your degree and feel bewildered by the subject you previously loved? Don't panic! This friendly companion will ease your transition to real mathematical thinking. Working through the book you will develop an arsenal of techniques to help you unlock the meaning of definitions, theorems and proofs, solve problems, and write mathematics effectively. All the major methods of proof - direct method, cases, induction, contradiction and contrapositive - are featured. Concrete examples are used throughout, and you'll get plenty of practice on topics common to many courses such as divisors, Euclidean algorithms, modular arithmetic, equivalence relations, and injectivity and surjectivity of functions. The material has been tested by real students over many years so all the essentials are covered. With over 300 exercises to help you test your progress, you'll soon learn how to think like a mathematician. Nº de ref. de la librería B9780521719780

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Descripción Cambridge University Press, 2009. Paperback. Estado de conservación: New. book. Nº de ref. de la librería 052171978X

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Descripción Cambridge University Press, 2009. Estado de conservación: New. 2009. 1st Edition. Paperback. This arsenal of tips and techniques eases new students into undergraduate mathematics, unlocking the world of definitions, theorems, and proofs. Num Pages: 274 pages, 1 b/w illus. 10 tables 335 exercises. BIC Classification: PB; YQM. Category: (UU) Undergraduate. Dimension: 244 x 190 x 14. Weight in Grams: 542. A Companion to Undergraduate Mathematics. 278 pages, 1 b/w illus. 10 tables 335 exercises. This arsenal of tips and techniques eases new students into undergraduate mathematics, unlocking the world of definitions, theorems, and proofs. Cateogry: (UU) Undergraduate. BIC Classification: PB; YQM. Dimension: 244 x 190 x 14. Weight: 538. . . . . . . Nº de ref. de la librería V9780521719780

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Descripción Cambridge University Press 2009-02-12, Cambridge, 2009. paperback. Estado de conservación: New. Nº de ref. de la librería 9780521719780

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Descripción Cambridge University Press, 2009. Estado de conservación: New. Brand New, Unread Copy in Perfect Condition. A+ Customer Service! Summary: 0. Preface; Part I. Study Skills For Mathematicians: 1. Sets and functions; 2. Reading mathematics; 3. Writing mathematics I; 4. Writing mathematics II; 5. How to solve problems; Part II. How To Think Logically: 6. Making a statement; 7. Implications; 8. Finer points concerning implications; 9. Converse and equivalence; 10. Quantifiers - For all and There exists; 11. Complexity and negation of quantifiers; 12. Examples and counterexamples; 13. Summary of logic; Part III. Definitions, Theorems and Proofs: 14. Definitions, theorems and proofs; 15. How to read a definition; 16. How to read a theorem; 17. Proof; 18. How to read a proof; 19. A study of Pythagoras' Theorem; Part IV. Techniques of Proof: 20. Techniques of proof I: direct method; 21. Some common mistakes; 22. Techniques of proof II: proof by cases; 23. Techniques of proof III: Contradiction; 24. Techniques of proof IV: Induction; 25. More sophisticated induction techniques; 26. Techniques of proof V: contrapositive method; Part V. Mathematics That All Good Mathematicians Need: 27. Divisors; 28. The Euclidean Algorithm; 29. Modular arithmetic; 30. Injective, surjective, bijective - and a bit about infinity; 31. Equivalence relations; Part VI. Closing Remarks: 32. Putting it all together; 33. Generalization and specialization; 34. True understanding; 35. The biggest secret; Appendices: A. Greek alphabet; B. Commonly used symbols and notation; C. How to prove that .; Index. Nº de ref. de la librería ABE_book_new_052171978X

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Descripción Cambridge University Press, 2009. PAP. Estado de conservación: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Nº de ref. de la librería GB-9780521719780

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