On the Cohomology of the Real Grassman Manifolds and the Characteristics of Classes of N-plane Bundles

On the Cohomology of the Real Grassman Manifolds and the Characteristics of Classes of N-plane Bundles PDF Author: Paul Emery Thomas
Publisher:
ISBN:
Category : Homology theory
Languages : en
Pages : 140

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On the Cohomology of the Real Grassman Manifolds and the Characteristics of Classes of N-plane Bundles

On the Cohomology of the Real Grassman Manifolds and the Characteristics of Classes of N-plane Bundles PDF Author: Paul Emery Thomas
Publisher:
ISBN:
Category : Homology theory
Languages : en
Pages : 140

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AFOSR.

AFOSR. PDF Author: United States. Air Force. Office of Scientific Research
Publisher:
ISBN:
Category : Research
Languages : en
Pages : 1136

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Air Force Scientific Research Bibliography: 1957-58

Air Force Scientific Research Bibliography: 1957-58 PDF Author: Library of Congress. Science and Technology Division
Publisher:
ISBN:
Category : Military research
Languages : en
Pages : 1130

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Air Force Scientific Research Bibliography

Air Force Scientific Research Bibliography PDF Author: Library of Congress. Science and Technology Division
Publisher:
ISBN:
Category : Research
Languages : en
Pages : 1136

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A Mathematician and His Mathematical Work

A Mathematician and His Mathematical Work PDF Author: Shiing-Shen Chern
Publisher: World Scientific
ISBN: 9789810223854
Category : Mathematics
Languages : en
Pages : 734

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Book Description
This volume is about the life and work of Shiing-Shen Chern (1911-), one of the leading mathematicians of this century. The book contains personal accounts by some friends, together with a summary of the mathematical works by Chern himself. Besides a selection of the mathematical papers the book also contains all his papers published after 1988.

Characteristic Classes. (AM-76), Volume 76

Characteristic Classes. (AM-76), Volume 76 PDF Author: John Milnor
Publisher: Princeton University Press
ISBN: 140088182X
Category : Mathematics
Languages : en
Pages : 339

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Book Description
The theory of characteristic classes provides a meeting ground for the various disciplines of differential topology, differential and algebraic geometry, cohomology, and fiber bundle theory. As such, it is a fundamental and an essential tool in the study of differentiable manifolds. In this volume, the authors provide a thorough introduction to characteristic classes, with detailed studies of Stiefel-Whitney classes, Chern classes, Pontrjagin classes, and the Euler class. Three appendices cover the basics of cohomology theory and the differential forms approach to characteristic classes, and provide an account of Bernoulli numbers. Based on lecture notes of John Milnor, which first appeared at Princeton University in 1957 and have been widely studied by graduate students of topology ever since, this published version has been completely revised and corrected.

Characteristic Classes

Characteristic Classes PDF Author: John Willard Milnor
Publisher: Princeton University Press
ISBN: 9780691081229
Category : Mathematics
Languages : en
Pages : 342

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Book Description
The theory of characteristic classes provides a meeting ground for the various disciplines of differential topology, differential and algebraic geometry, cohomology, and fiber bundle theory. As such, it is a fundamental and an essential tool in the study of differentiable manifolds. In this volume, the authors provide a thorough introduction to characteristic classes, with detailed studies of Stiefel-Whitney classes, Chern classes, Pontrjagin classes, and the Euler class. Three appendices cover the basics of cohomology theory and the differential forms approach to characteristic classes, and provide an account of Bernoulli numbers. Based on lecture notes of John Milnor, which first appeared at Princeton University in 1957 and have been widely studied by graduate students of topology ever since, this published version has been completely revised and corrected.

A Course on Surgery Theory

A Course on Surgery Theory PDF Author: Stanley Chang
Publisher: Princeton University Press
ISBN: 0691200351
Category : Mathematics
Languages : en
Pages : 443

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Book Description
An advanced treatment of surgery theory for graduate students and researchers Surgery theory, a subfield of geometric topology, is the study of the classifications of manifolds. A Course on Surgery Theory offers a modern look at this important mathematical discipline and some of its applications. In this book, Stanley Chang and Shmuel Weinberger explain some of the triumphs of surgery theory during the past three decades, from both an algebraic and geometric point of view. They also provide an extensive treatment of basic ideas, main theorems, active applications, and recent literature. The authors methodically cover all aspects of surgery theory, connecting it to other relevant areas of mathematics, including geometry, homotopy theory, analysis, and algebra. Later chapters are self-contained, so readers can study them directly based on topic interest. Of significant use to high-dimensional topologists and researchers in noncommutative geometry and algebraic K-theory, A Course on Surgery Theory serves as an important resource for the mathematics community.

Selected Papers

Selected Papers PDF Author: Shiing-Shen Chern
Publisher: Springer Science & Business Media
ISBN: 9780387968162
Category : Mathematics
Languages : en
Pages : 486

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Book Description
In recognition of professor Shiing-Shen Chern’s long and distinguished service to mathematics and to the University of California, the geometers at Berkeley held an International Symposium in Global Analysis and Global Geometry in his honor in June 1979. The output of this Symposium was published in a series of three separate volumes, comprising approximately a third of Professor Chern’s total publications up to 1979. Later, a fourth volume was published, focusing on papers written during the Eighties. This second volume comprises selected papers written between 1932 and 1965.

Vector Bundles - Vol 1

Vector Bundles - Vol 1 PDF Author:
Publisher: Academic Press
ISBN: 0080874207
Category : Mathematics
Languages : en
Pages : 385

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Vector Bundles - Vol 1