Charming Proofs : (Record no. 79824)
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| 000 -LEADER | |
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| fixed length control field | 06505nam a22004813i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC3330369 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729125049.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d | |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cnu|||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240724s2010 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781614442011 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780883853481 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC3330369 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL3330369 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr10728518 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)929120458 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | MiAaPQ |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | MiAaPQ |
| Modifying agency | MiAaPQ |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA9.54 -- .A57 2010eb |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 511.3/6 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Alsina, Claudi. |
| 245 10 - TITLE STATEMENT | |
| Title | Charming Proofs : |
| Remainder of title | A Journey into Elegant Mathematics. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Washington : |
| Name of producer, publisher, distributor, manufacturer | American Mathematical Society, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2010. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2010. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (320 pages) |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| Series statement | Dolciani Mathematical Expositions ; |
| Volume/sequential designation | v.42 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | cover -- copyright page -- title page -- Preface -- Contents -- Introduction -- CHAPTER 1 A Garden of Integers -- 1.1 Figurate numbers -- 1.2 Sums of squares, triangular numbers, and cubes -- 1.3 There are infinitely many primes -- 1.4 Fibonacci numbers -- 1.5 Fermat's theorem -- 1.6 Wilson's theorem -- 1.7 Perfect numbers -- 1.8 Challenges -- CHAPTER 2 Distinguished Numbers -- 2.1 The irrationality of sqrt2 -- 2.2 The irrationality of sqrt{k} for non-square k -- 2.3 The golden ratio -- 2.4 pi and the circle -- 2.5 The irrationality of pi -- 2.6 The Comte de Buffon and his needle -- 2.7 e as a limit -- 2.8 An infinite series for e -- 2.9 The irrationality of e -- 2.10 Steiner's problem on the number e -- 2.11 The Euler-Mascheroni constant -- 2.12 Exponents, rational and irrational -- 2.13 Challenges -- CHAPTER 3 Points in the Plane -- 3.1 Pick's theorem -- 3.2 Circles and sums of two squares -- 3.3 The Sylvester-Gallai theorem -- 3.4 Bisecting a set of 100,000 points -- 3.5 Pigeons and pigeonholes -- 3.6 Assigning numbers to points in the plane -- 3.7 Challenges -- CHAPTER 4 The Polygonal Playground -- 4.1 Polygonal combinatorics -- 4.2 Drawing an n-gon with given side lengths -- 4.3 The theorems of Maekawa and Kawasaki -- 4.4 Squaring polygons -- 4.5 The stars of the polygonal playground -- 4.6 Guards in art galleries -- 4.7 Triangulation of convex polygons -- 4.8 Cycloids, cyclogons, and polygonal cycloids -- 4.9 Challenges -- CHAPTER 5 A Treasury of TriangleTheorems -- 5.1 The Pythagorean theorem -- 5.2 Pythagorean relatives -- 5.3 The inradius of a right triangle -- 5.4 Pappus' generalization of the Pythagorean theorem -- 5.5 The incircle and Heron's formula -- 5.6 The circumcircle and Euler's triangle inequality -- 5.7 The orthic triangle -- 5.8 The Erdos-Mordell inequality -- 5.9 The Steiner-Lehmus theorem. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 5.10 The medians of a triangle -- 5.11 Are most triangles obtuse? -- 5.12 Challenges -- CHAPTER 6 The Enchantment of the Equilateral Triangle -- 6.1 Pythagorean-like theorems -- 6.2 The Fermat point of a triangle -- 6.3 Viviani's theorem -- 6.4 A triangular tiling of the plane and Weitzenböck's inequality -- 6.5 Napoleon's theorem -- 6.6 Morley's miracle -- 6.7 Van Schooten's theorem -- 6.8 The equilateral triangle and the golden ratio -- 6.9 Challenges -- CHAPTER 7 The Quadrilaterals' Corner -- 7.1 Midpoints in quadrilaterals -- 7.2 Cyclic quadrilaterals -- 7.3 Quadrilateral equalities and inequalities -- 7.4 Tangential and bicentric quadrilaterals -- 7.5 Anne's and Newton's theorems -- 7.6 Pythagoras with a parallelogram andequilateral triangles -- 7.7 Challenges -- CHAPTER 8 Squares Everywhere -- 8.1 One-square theorems -- 8.2 Two-square theorems -- 8.3 Three-square theorems -- 8.4 Four and more squares -- 8.5 Squares in recreational mathematics -- 8.6 Challenges -- CHAPTER 9 Curves Ahead -- 9.1 Squarable lunes -- 9.2 The amazing Archimedean spiral -- 9.3 The quadratrix of Hippias -- 9.4 The shoemaker's knife and the salt cellar -- 9.5 The Quetelet and Dandelin approach to conics -- 9.6 Archimedes triangles -- 9.7 Helices -- 9.8 Challenges -- CHAPTER 10 Adventures in Tilingand Coloring -- 10.1 Plane tilings and tessellations -- 10.2 Tiling with triangles and quadrilaterals -- 10.3 Infinitely many proofs of the Pythagorean theorem -- 10.4 The leaping frog -- 10.5 The seven friezes -- 10.6 Colorful proofs -- 10.7 Dodecahedra and Hamiltonian circuits -- 10.8 Challenges -- CHAPTER 11 Geometry in Three Dimensions -- 11.1 The Pythagorean theorem in three dimensions -- 11.2 Partitioning space with planes -- 11.3 Corresponding triangles on three lines -- 11.4 An angle-trisecting cone -- 11.5 The intersection of three spheres. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 11.6 The fourth circle -- 11.7 The area of a spherical triangle -- 11.8 Euler's polyhedral formula -- 11.9 Faces and vertices in convex polyhedra -- 11.10 Why some types of faces repeat in polyhedra -- 11.11 Euler and Descartes a la Polya -- 11.12 Squaring squares and cubing cubes -- 11.13 Challenges -- CHAPTER 12 Additional Theorems, Problems, and Proofs -- 12.1 Denumerable and nondenumerble sets -- 12.2 The Cantor-Schro¨ der-Bernstein theorem -- 12.3 The Cauchy-Schwarz inequality -- 12.4 The arithmetic mean-geometric mean inequality -- 12.5 Two pearls of origami -- 12.6 How to draw a straight line -- 12.7 Some gems in functional equations -- 12.8 Functional inequalities -- 12.9 Euler's series for pi^2/6 -- 12.10 The Wallis product -- 12.11 Stirling's approximation of n! -- 12.12 Challenges -- Solutions to the Challenges -- Chapter 1 -- Chapter 2 -- Chapter 3 -- Chapter 4 -- Chapter 5 -- Chapter 6 -- Chapter 7 -- Chapter 8 -- Chapter 9 -- Chapter 10 -- Chapter 11 -- Chapter 12 -- References -- Index -- About the Authors. |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on publisher supplied metadata and other sources. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Proof theory. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Nelsen, Roger B. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Alsina, Claudi |
| Title | Charming Proofs |
| Place, publisher, and date of publication | Washington : American Mathematical Society,c2010 |
| International Standard Book Number | 9780883853481 |
| 797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN) | |
| Corporate name or jurisdiction name as entry element | ProQuest (Firm) |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Dolciani Mathematical Expositions |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3330369">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3330369</a> |
| Public note | Click to View |
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