Mathematical surprises (Record no. 35078)
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000 -LEADER | |
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fixed length control field | 02539 a2200205 4500 |
003 - CONTROL NUMBER IDENTIFIER | |
control field | OSt |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20240214161132.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 240214b |||||||| |||| 00| 0 eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9783031135651 |
040 ## - CATALOGING SOURCE | |
Original cataloging agency | ICTS-TIFR |
050 ## - LIBRARY OF CONGRESS CALL NUMBER | |
Classification number | QA99 |
100 ## - MAIN ENTRY--PERSONAL NAME | |
Personal name | Ben-Ari, Mordechai |
245 ## - TITLE STATEMENT | |
Title | Mathematical surprises |
260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
Name of publisher, distributor, etc. | Springer Cham, |
Date of publication, distribution, etc. | [c2022] |
Place of publication, distribution, etc. | Switzerland: |
300 ## - Physical Description | |
Pages: | 226 p. |
505 ## - FORMATTED CONTENTS NOTE | |
Formatted contents note | Chapter 1: The Collapsing Compass<br/>Chapter 2: Trisection of an Angle<br/>Chapter 3: Squaring the Circle<br/>Chapter 4: The Five-Color Theorem<br/>Chapter 5: How to Guard a Museum<br/>Chapter 6: Induction<br/>Chapter 7: Solving Quadratic Equations<br/>Chapter 8: Ramsey Theory<br/>Chapter 9: Langford’s Problem<br/>Chapter 10: The Axioms of Origami<br/>Chapter 11: Lill’s Method and the Beloch Fold<br/>Chapter 12: Geometric Constructions Using Origami<br/>Chapter 13: A Compass Is Sufficient<br/>Chapter 14: A Straightedge and One Circle is Sufficient<br/>Chapter 15: Are Triangles with Equal Areas and Perimeters Congruent?<br/>Chapter 16: Construction of a Regular Heptadecagon |
520 ## - SUMMARY, ETC. | |
Summary, etc. | This is open access book provides plenty of pleasant mathematical surprises. There are many fascinating results that do not appear in textbooks although they are accessible with a good knowledge of secondary-school mathematics. This book presents a selection of these topics including the mathematical formalization of origami, construction with straightedge and compass (and other instruments), the five- and six-color theorems, a taste of Ramsey theory and little-known theorems proved by induction.<br/><br/>Among the most surprising theorems are the Mohr-Mascheroni theorem that a compass alone can perform all the classical constructions with straightedge and compass, and Steiner's theorem that a straightedge alone is sufficient provided that a single circle is given. The highlight of the book is a detailed presentation of Gauss's purely algebraic proof that a regular heptadecagon (a regular polygon with seventeen sides) can be constructed with straightedge and compass.<br/>Although the mathematics used in the book is elementary (Euclidean and analytic geometry, algebra, trigonometry), students in secondary schools and colleges, teachers, and other interested readers will relish the opportunity to confront the challenge of understanding these surprising theorems.<br/><br/>Supplementary material to the book can be found at https://github.com/motib/suprises.<br/><br/>---Summary provided by the publisher |
856 ## - ELECTRONIC LOCATION AND ACCESS | |
Uniform Resource Identifier | <a href="https://doi.org/10.1007/978-3-031-13566-8">https://doi.org/10.1007/978-3-031-13566-8</a> |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Source of classification or shelving scheme | |
Koha item type | Book |
Withdrawn status | Lost status | Damaged status | Not for loan | Collection code | Home library | Shelving location | Date acquired | Full call number | Accession No. | Checked out | Koha item type |
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Mathematics | ICTS | Rack No 3 | 02/14/2024 | QA99 | 02803 | 05/20/2024 | Book |