| 000 -LEADER |
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| fixed length control field |
nam a22 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
230831b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783030509194 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
510 |
| Item number |
SMO |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Smorynski, Craig |
| 245 ## - TITLE STATEMENT |
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| Title |
Mathematical problems : an essay on their nature and importance |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Name of publisher, distributor, etc |
Springer, |
| Date of publication, distribution, etc |
2020 |
| Place of publication, distribution, etc |
Cham : |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
vi, 406 p. ; |
| Other physical details |
ill., |
| Dimensions |
23 cm |
| 365 ## - TRADE PRICE |
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| Price amount |
89.99 |
| Price type code |
EUR |
| Unit of pricing |
94.90 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes index. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
The life and soul of any science are its problems. This is particularly true of mathematics, which, not referring to any physical reality, consists only of its problems, their solutions, and, most excitingly, the challenges they pose. Mathematical problems come in many flavours, from simple puzzles to major open problems. The problems stimulate, the stories of their successful solutions inspire, and their applications are wide. The literature abounds with books dedicated to mathematical problems — collections of problems, hints on how to solve them, and even histories of the paths to the solutions of some famous ones. The present book, aimed at the proverbial “bright high-school student”, takes a different, more philosophical approach, first dividing mathematical problems into three broad classes — puzzles, exercises, and open problems — and discussing their various roles in one’s mathematical education. Various chapters are devoted to discussing examples of each type of problem, along with their solutions and some of the developments arising from them. For the truly dedicated reader, more involved material is offered in an appendix. Mathematics does not exist in a vacuum, whence the author peppers the material with frequent extra-mathematical cultural references. The mathematics itself is elementary, for the most part pre-calculus. The few references to the calculus use the integral notation which the reader need not truly be familiar with, opting to read the integral sign as strange notation for area or as operationally defined by the appropriate buttons on his or her graphing calculator. Nothing further is required. Advance praise for Mathematical Problems "There are many books on mathematical problems, but Smoryński’s compelling book offers something unique. Firstly, it includes a fruitful classification and analysis of the nature of mathematical problems. Secondly, and perhaps most importantly, it leads the reader from clear and often amusing accounts of traditional problems to the serious mathematics that grew out of some of them." - John Baldwin, University of Illinois at Chicago "Smoryński manages to discuss the famous puzzles from the past and the new items in various modern theories with the same elegance and personality. He presents and solves puzzles and traditional topics with a laudable sense of humor. Readers of all ages and training will find the book a rich treasure chest. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Bayes's theorem |
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| Topical term or geographic name as entry element |
Biggs Norman |
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| Topical term or geographic name as entry element |
Circular City Problem |
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| Topical term or geographic name as entry element |
Puzzles |
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| Topical term or geographic name as entry element |
Euler's formula |
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| Topical term or geographic name as entry element |
Five colour theorem |
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| Topical term or geographic name as entry element |
Four frogs problem |
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| Topical term or geographic name as entry element |
Godel's Incomplete theorem |
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| Topical term or geographic name as entry element |
Hilber-Bernays derivability conditions |
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| Topical term or geographic name as entry element |
Knight's tour |
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| Topical term or geographic name as entry element |
Lob's theorem |
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| Topical term or geographic name as entry element |
Monty Hall problem |
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| Topical term or geographic name as entry element |
Napolean's theorem |
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| Topical term or geographic name as entry element |
Parson's puzzle |
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| Topical term or geographic name as entry element |
Peterburg problem |
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| Topical term or geographic name as entry element |
Shipman's puzzle |
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| Topical term or geographic name as entry element |
Veritasium |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
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| Item type |
Books |