Differential Manifolds

Nonfiction, Science & Nature, Mathematics, Geometry
Cover of the book Differential Manifolds by Antoni A. Kosinski, Dover Publications
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Antoni A. Kosinski ISBN: 9780486318158
Publisher: Dover Publications Publication: July 2, 2013
Imprint: Dover Publications Language: English
Author: Antoni A. Kosinski
ISBN: 9780486318158
Publisher: Dover Publications
Publication: July 2, 2013
Imprint: Dover Publications
Language: English

The concepts of differential topology form the center of many mathematical disciplines such as differential geometry and Lie group theory. Differential Manifolds presents to advanced undergraduates and graduate students the systematic study of the topological structure of smooth manifolds. Author Antoni A. Kosinski, Professor Emeritus of Mathematics at Rutgers University, offers an accessible approach to both the h-cobordism theorem and the classification of differential structures on spheres.
"How useful it is," noted the Bulletin of the American Mathematical Society, "to have a single, short, well-written book on differential topology." This volume begins with a detailed, self-contained review of the foundations of differential topology that requires only a minimal knowledge of elementary algebraic topology. Subsequent chapters explain the technique of joining manifolds along submanifolds, the handle presentation theorem, and the proof of the h-cobordism theorem based on these constructions. There follows a chapter on the Pontriagin Construction—the principal link between differential topology and homotopy theory. The final chapter introduces the method of surgery and applies it to the classification of smooth structures of spheres. The text is supplemented by numerous interesting historical notes and contains a new appendix, "The Work of Grigory Perelman," by John W. Morgan, which discusses the most recent developments in differential topology.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

The concepts of differential topology form the center of many mathematical disciplines such as differential geometry and Lie group theory. Differential Manifolds presents to advanced undergraduates and graduate students the systematic study of the topological structure of smooth manifolds. Author Antoni A. Kosinski, Professor Emeritus of Mathematics at Rutgers University, offers an accessible approach to both the h-cobordism theorem and the classification of differential structures on spheres.
"How useful it is," noted the Bulletin of the American Mathematical Society, "to have a single, short, well-written book on differential topology." This volume begins with a detailed, self-contained review of the foundations of differential topology that requires only a minimal knowledge of elementary algebraic topology. Subsequent chapters explain the technique of joining manifolds along submanifolds, the handle presentation theorem, and the proof of the h-cobordism theorem based on these constructions. There follows a chapter on the Pontriagin Construction—the principal link between differential topology and homotopy theory. The final chapter introduces the method of surgery and applies it to the classification of smooth structures of spheres. The text is supplemented by numerous interesting historical notes and contains a new appendix, "The Work of Grigory Perelman," by John W. Morgan, which discusses the most recent developments in differential topology.

More books from Dover Publications

Cover of the book Treatise on Harmony by Antoni A. Kosinski
Cover of the book Tristan und Isolde in Full Score by Antoni A. Kosinski
Cover of the book Quantum Theory of Collective Phenomena by Antoni A. Kosinski
Cover of the book The Tryal of Capt. William Kidd by Antoni A. Kosinski
Cover of the book Inspired Shawls by Antoni A. Kosinski
Cover of the book Mathematics for Everyman by Antoni A. Kosinski
Cover of the book Elements of Number Theory by Antoni A. Kosinski
Cover of the book Make in a Day: Garlands by Antoni A. Kosinski
Cover of the book A Portrait of the Artist as a Young Man by Antoni A. Kosinski
Cover of the book Self-Help by Antoni A. Kosinski
Cover of the book English Children's Costume 1775-1920 by Antoni A. Kosinski
Cover of the book Integral Equations by Antoni A. Kosinski
Cover of the book The Lawless Decade by Antoni A. Kosinski
Cover of the book Phobia by Antoni A. Kosinski
Cover of the book Those Were the Days: Weird and Wacky Ads of Yesteryear by Antoni A. Kosinski
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy