Mathematical Omnibus (Record no. 1689)

000 -LEADER
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003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240918131036.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
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020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780821868850
040 ## - CATALOGING SOURCE
Original cataloging agency ICTS-TIFR
050 ## - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA37.3
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Dmitry, Fuchs
245 ## - TITLE STATEMENT
Title Mathematical Omnibus
Remainder of title : 30 lectures on classical mathematics
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Name of publisher, distributor, etc. American Mathematical Society,
Date of publication, distribution, etc. [c2013]
Place of publication, distribution, etc. USA:
300 ## - Physical Description
Pages: 459 p.
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note Algebra and arithmetics<br/><br/>Chapter 1. Arithmetic and combinatorics<br/>Lecture 1. Can a number be approximately rational?<br/>Lecture 2. Arithmetical properties of binomial coefficients<br/>Lecture 3. On collecting like terms, on Euler, Gauss, and MacDonald, and on missed opportunities<br/><br/>Chapter 2. Equations<br/>Lecture 4. Equations of degree three and four<br/>Lecture 5. Equations of degree five<br/>Lecture 6. How many roots does a polynomial have?<br/>Lecture 7. Chebyshev polynomials<br/>Lecture 8. Geometry of equations<br/><br/>Geometry and topology<br/><br/>Chapter 3. Envelopes and singularities<br/>Lecture 9. Cusps<br/>Lecture 10. Around four vertices<br/>Lecture 11. Segments of equal areas<br/>Lecture 12. On plane curves<br/><br/>Chapter 4. Developable surfaces<br/>Lecture 13. Paper sheet geometry<br/>Lecture 14. Paper Möbius band<br/>Lecture 15. More on paper folding<br/><br/>Chapter 5. Straight lines<br/>Lecture 16. Straight lines on curved surfaces<br/>Lecture 17. Twenty-seven lines<br/>Lecture 18. Web geometry<br/>Lecture 19. The Crofton formula<br/><br/>Chapter 6. Polyhedra<br/>Lecture 20. Curvature and polyhedra<br/>Lecture 21. Non-inscribable polyhedra<br/>Lecture 22. Can one make a tetrahedron out of a cube?<br/>Lecture 23. Impossible tilings<br/>Lecture 24. Rigidity of polyhedra<br/>Lecture 25. Flexible polyhedra<br/><br/>Chapter 7. Two surprising topological constructions<br/>Lecture 26. Alexander’s horned sphere<br/>Lecture 27. Cone eversion<br/><br/>Chapter 8. On ellipses and ellipsoids<br/>Lecture 28. Billiards in ellipses and geodesics on ellipsoids<br/>Lecture 29. The Poncelet porism and other closure theorems<br/>Lecture 30. Gravitational attraction of ellipsoids<br/>Lecture 31. Solutions to selected exercises<br/>
520 ## - SUMMARY, ETC.
Summary, etc. The book consists of thirty lectures on diverse topics, covering much of the mathematical landscape rather than focusing on one area. The reader will learn numerous results that often belong to neither the standard undergraduate nor graduate curriculum and will discover connections between classical and contemporary ideas in algebra, combinatorics, geometry, and topology. The reader's effort will be rewarded in seeing the harmony of each subject. The common thread in the selected subjects is their illustration of the unity and beauty of mathematics. Most lectures contain exercises, and solutions or answers are given to selected exercises. A special feature of the book is an abundance of drawings (more than four hundred), artwork by an award-winning artist, and about a hundred portraits of mathematicians. Almost every lecture contains surprises for even the seasoned researcher.-- provided by publisher
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Mathematics
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Tabachnikov, Serge
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. Koha item type
          ICTS Rack No 4 01/18/2018 QA37.3 00952 Book