Mathematical omnibus : thirty lectures on classic mathematics. / D. B. Fuks.

By: D. B. FuksContributor(s): D. B. FuksMaterial type: TextTextPublisher number: : Donated by Prof. Amber Habib.Publication details: , Providence, R.I : American Mathematical Society ., ©2007Description: xv, 463 pages : illustrations ; 27 cmISBN: 9780821868850Subject(s): Topology | Vortrag | Geometry | MathematicsDDC classification: 510 FUK
Contents:
Arithmetic and combinatorics Equations Envelopes and singularities Developable surfaces Straight lines Polyhedra Two surprising topological constructions On ellipses and ellipsoids
Summary: 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 accomplished artist, and about a hundred portraits of mathematicians. Almost every lecture contains surprises for even the seasoned researcher.
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Arithmetic and combinatorics
Equations
Envelopes and singularities
Developable surfaces
Straight lines
Polyhedra
Two surprising topological constructions
On ellipses and ellipsoids

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 accomplished artist, and about a hundred portraits of mathematicians. Almost every lecture contains surprises for even the seasoned researcher.

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