Mathematical surprises (Record no. 35078)

000 -LEADER
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
Holdings
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
        Mathematics ICTS Rack No 3 02/14/2024 QA99 02803 05/20/2024 Book