Mathematical Omnibus: Thirty Lectures on Classic Mathematics
Dmitry Fuchs, Serge Tabachnikov
Price
1950
ISBN
9780821868850
Language
English
Pages
480
Format
Paperback
Dimensions
180 x 240 mm
Year of Publishing
2011
Territorial Rights
Restricted
Imprint
American Mathematical Society
Catalogues

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.

Dmitry Fuchs, University of California, Davis, CA, and Serge Tabachnikov, Pennsylvania State University, University Park, PA
Preface
Art and Photo Credits

Algebra and Arithmetics

Chapter 1. Arithmetic and Combinatorics
Chapter 2. Equations

Geometry and Topology

Chapter 3. Envelopes and Singularities
Chapter 4. Developable Surfaces
Chapter 5. Straight Lines
Chapter 6. Polyhedra
Chapter 7. Two Surprising Topological Constructions
Chapter 8. On Ellipses and Ellipsoids
Bibliography 457
Index