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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,&nbspDianne 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