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How to Think Like a Mathematician: A C... by Houston, Kevin Paperback / softback
FREE US DELIVERY | ISBN: 052171978X | Quality Books
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Numero oggetto eBay:306248982904
Specifiche dell'oggetto
- Condizione
- ISBN
- 052171978X
- EAN
- 9780521719780
- Release Title
- How to Think Like a Mathematician: A Companion to Undergraduat...
- Artist
- Houston, Kevin
- Brand
- N/A
- Colour
- N/A
- Book Title
- How to Think Like a Mathematician: A Companion to Undergraduat...
Informazioni su questo prodotto
Product Identifiers
Publisher
Cambridge University Press
ISBN-10
052171978X
ISBN-13
9780521719780
eBay Product ID (ePID)
18038849204
Product Key Features
Number of Pages
274 Pages
Language
English
Publication Name
How to Think like a Mathematician : a Companion to Undergraduate Mathematics
Publication Year
2009
Subject
General
Type
Textbook
Subject Area
Mathematics
Format
Trade Paperback
Dimensions
Item Height
0.7 in
Item Weight
19 Oz
Item Length
10 in
Item Width
7.7 in
Additional Product Features
Intended Audience
College Audience
LCCN
2008-034663
Reviews
"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, "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, "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." <br/<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." <br/<W.R. Lee, Choice Magazine
Dewey Edition
22
Illustrated
Yes
Dewey Decimal
510
Table Of Content
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.
Synopsis
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., 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.
LC Classification Number
QA40
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- 4***7 (213)- Feedback lasciato dall'acquirente.Mese scorsoAcquisto verificato1st edition, 2nd impression edition of "The Drunken Forest," by Gerald Durrell is as pictured & described. Arrived quickly & safely! Got a great deal on it! Great communication! The book, with a protective mylar cover, was wrapped in bubble wrap, then wrapped in sturdy cardboard, then placed in a rugged bubble mailer! Fort Knox in a mailer! So hard to get an early edition of this classic! So happy to add to my growing collection of nature & science books! Thank you! !!Seller Highly Recommended!!
- 6***6 (76)- Feedback lasciato dall'acquirente.Mese scorsoAcquisto verificatoThis delivery was earliest date! Condition, value, quality - all as described. (My mistake was not requiring the publishing date to be 1958. This was 1977.) This IS a Viking Portable Library copy of Dante's Divine Comedy in English, translated by Laurence Binyon, but it is with a cover DIFFERENT from what was shown. The tracking number was listed as from "UPS", but should have been listed as from "USPS." Contact with this seller alleviated tracking issues. I recommend this seller! Thank you!
- p***a (187)- Feedback lasciato dall'acquirente.Mese scorsoAcquisto verificatoI purchased two books from the same seller; both were accurately advertised in product write ups. Seller responded promptly and securely packaged both books for swift arrival. I am very happy with my purchase and highly recommend this seller.