Kai Shue Lam's Books

Lectures on Differential Geometry

By: Shiing-Shen Chern,Weihuan Chen,Kai Shue Lam

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Lectures on Differential Geometry

By: Shiing-Shen Chern,Weihuan Chen,Kai Shue Lam

This book is a translation of an authoritative introductory text based on a lecture series delivered by the renowned differential geometer, Professor S S Chern in Beijing University in 1980. The original Chinese text, authored by Professor Chern and Professor Wei-Huan Chen, was a unique contribution to the mathematics literature, combining simplicity and economy of approach with depth of contents. The present translation is aimed at a wide audience, including (but not limited to) advanced undergraduate and graduate students in mathematics, as well as physicists interested in the diverse applications of differential geometry to physics. In addition to a thorough treatment of the fundamentals of manifold theory, exterior algebra, the exterior calculus, connections on fiber bundles, Riemannian geometry, Lie groups and moving frames, and complex manifolds (with a succinct introduction to the theory of Chern classes), and an appendix on the relationship between differential geometry and theoretical physics, this book includes a new chapter on Finsler geometry and a new appendix on the history and recent developments of differential geometry, the latter prepared specially for this edition by Professor Chern to bring the text into perspectives.

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Page Count

370

Publisher

World Scientific

Published Date

ISBN 10

9810241828

ISBN 13

9789810241827

Fundamental Principles of Classical Mechanics

A Geometrical Perspective

By: Kai Shue Lam

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Fundamental Principles of Classical Mechanics

A Geometrical Perspective

By: Kai Shue Lam

This book is written with the belief that classical mechanics, as a theoretical discipline, possesses an inherent beauty, depth, and richness that far transcends its immediate applications in mechanical systems. These properties are manifested, by and large, through the coherence and elegance of the mathematical structure underlying the discipline, and are eminently worthy of being communicated to physics students at the earliest stage possible. This volume is therefore addressed mainly to advanced undergraduate and beginning graduate physics students who are interested in the application of modern mathematical methods in classical mechanics, in particular, those derived from the fields of topology and differential geometry, and also to the occasional mathematics student who is interested in important physics applications of these areas of mathematics. Its main purpose is to offer an introductory and broad glimpse of the majestic edifice of the mathematical theory of classical dynamics, not only in the time-honored analytical tradition of Newton, Laplace, Lagrange, Hamilton, Jacobi, and Whittaker, but also the more topological/geometrical one established by Poincare, and enriched by Birkhoff, Lyapunov, Smale, Siegel, Kolmogorov, Arnold, and Moser (as well as many others).

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Page Count

574

Publisher

World Scientific Publishing Company Incorporated

Published Date

ISBN 10

9814551481

ISBN 13

9789814551489

Topics in Contemporary Mathematical Physics

By: Kai Shue Lam

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Topics in Contemporary Mathematical Physics

By: Kai Shue Lam

This textbook, pitched at the advanced-undergraduate to beginning-graduate level, focuses on mathematical topics of relevance in contemporary physics that are not usually covered in texts at the same level. Its main purpose is to help students appreciate and take advantage of the modern trend of very productive symbiosis between physics and mathematics. Three major areas are covered: (1) linear operators; (2) group representations and Lie algebra representations; and (3) topology and differential geometry. The features of this work include: an exposition style which is a fusion of those common in the standard physics and mathematics literatures; a level of exposition that varies from quite elementary to moderately advanced, so that the text should be of interest to a wide audience; a strong degree of thematic unity, despite the diversity of the topics covered; and cross references, so that, from any part of the book, the reader can trace easily where specific concepts or techniques are introduced.

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Age

Page Count

628

Publisher

World Scientific

Published Date

ISBN 10

9812384049

ISBN 13

9789812384041

Book's by Kai Shue Lam

Lectures on Differential Geometry

Lectures on Differential Geometry

Fundamental Principles of Classical Mechanics

Fundamental Principles of Classical Mechanics

Topics in Contemporary Mathematical Physics

Topics in Contemporary Mathematical Physics

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