Exterior Analysis, 1st Edition

  • Published By:
  • ISBN-10: 0124159281
  • ISBN-13: 9780124159280
  • DDC: 515.37
  • Grade Level Range: College Freshman - College Senior
  • 779 Pages | eBook
  • Original Copyright 2013 | Published/Released June 2014
  • This publication's content originally published in print form: 2013

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Exterior analysis uses differential forms (a mathematical technique) to analyze curves, surfaces, and structures. Exterior Analysis is a first-of-its-kind resource that uses applications of differential forms, offering a mathematical approach to solve problems in defining a precise measurement to ensure structural integrity. The book provides methods to study different types of equations and offers detailed explanations of fundamental theories and techniques to obtain concrete solutions to determine symmetry. It is a useful tool for structural, mechanical and electrical engineers, as well as physicists and mathematicians.

Table of Contents

Front Cover.
Half Title Page.
Title Page.
Copyright Page.
Table of Contents.
1: Exterior Algebra.
2: Differentiable Manifolds.
3: Lie Groups.
4: Tensor Fields on Manifolds.
5: Exterior Differential Forms.
6: Homotopy Operator.
7: Linear Connections.
8: Integration of Exterior Forms.
9: Partial Differential Equations.
10: Calculus of Variations.
11: Some Physical Applications.
Index of Symbols.
Name Index.
Subject Index.