The Geometry

of Physics: An Introduction

By Theodore Frankel

* Publisher: Cambridge

University Press

* Number Of Pages: 678

* Publication Date: 1999-04-13

* ISBN / ASIN: 0521387531

Book De******ion:

This book is intended to provide a working

knowledge of those parts of exterior differential forms, differential geometry,

algebraic and differential topology, Lie groups, vector bundles and Chern forms

that are essential for a deeper understanding of both classical and modern

physics and engineering. Included are discussions of analytical and fluid

dynamics, electromagnetism, thermodynamics, the deformation tensors of

elasticity, soap films, special and general relativity, the Dirac operator and

spinors, and gauge fields, including Yang-Mills, the Aharonov-Bohm effect, Berry

phase, and instanton winding numbers. Before discussing abstract notions of

differential geometry, geometric intuition is developed through a rather

extensive introduction to the study of surfaces in ordinary space; consequently,

the book should also be of interest to mathematics students. This book will be

useful to graduate and advanced undergraduate students of physics, engineering

and mathematics. It can be used as a course **** or for self

study

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Practical

Linear Algebra: A Geometry Toolbox

By Gerald Farin, Dianne Hansford,

* Publisher: AK Peters

* Number Of Pages: 384

* Publication Date:

2004-12-15

* ISBN / ASIN: 1568812345

Book De******ion:

Practical Linear Algebra introduces

students in math, science, engineering, and computer science to Linear Algebra

from an intuitive and geometric viewpoint, creating a level of understanding

that goes far beyond mere matrix manipulations. Practical aspects, such as

computer graphics topics and numerical strategies, are covered throughout, and

thus students can build a "Geometry Toolbox," based on a geometric understanding

of the key concepts.

This book covers all the standard linear algebra

material for a first-year course; the authors teach by motivation, illustration,

and example rather than by using a theorem/proof style.

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384

pages | PDF | 19.2 MB