Geometrical Vectors

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Overview

Every advanced undergraduate and graduate student of physics must master the concepts of vectors and vector analysis. Yet most books cover this topic by merely repeating the introductory-level treatment based on a limited algebraic or analytic view of the subject.

Geometrical Vectors introduces a more sophisticated approach, which not only brings together many loose ends of the traditional treatment, but also leads directly into the practical use of vectors in general curvilinear coordinates by carefully separating those relationships which are topologically invariant from those which are not. Based on the essentially geometric nature of the subject, this approach builds consistently on students' prior knowledge and geometrical intuition.

Written in an informal and personal style, Geometrical Vectors provides a handy guide for any student of vector analysis. Clear, carefully constructed line drawings illustrate key points in the text, and problem sets as well as physical examples are provided.

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Product Details

  • ISBN-13: 9780226890487
  • Publisher: University of Chicago Press
  • Publication date: 7/28/1998
  • Series: Chicago Lectures in Physics Series
  • Edition description: 1
  • Pages: 126
  • Product dimensions: 6.00 (w) x 9.00 (h) x 0.40 (d)

Table of Contents

Preface
1 Prologue: What This Book Is About 1
2 Vector Types and Vector Operations 13
3 More Operations, More Vectors 26
4 Completion of the Menagerie 40
5 Fields and the Geometrical Calculus 53
6 Coordinates and Components 66
7 The Grand Algebraization Rule 79
8 Goodbye to the Rubber Universe 92
9 Epilogue: Where This Book Leaves Us 107
Index 113
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  • Anonymous

    Posted May 16, 2001

    Superb

    Gives the gift of intuitive understanding, and its just a lot of fun for math lovers. Can't recommend it enough. Great Stuff.

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