Exterior Analysis book cover

Exterior Analysis

Using Applications of Differential Forms

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.

Audience

Physical Scientists, Engineers, Applied Mathematicians

Hardbound, 779 Pages

Published: August 2013

Imprint: Academic Press

ISBN: 978-0-12-415902-0

Contents

  • 1: Exterior Algebra

    2: Differential Manifolds

    3: LIE Groups

    4: Tensor Fields of Manifolds

    5: Exterior Differential Forms

    6: Homotopy Operator

    7: Linear Connections

    8: Integration of Exterior Forms

    9: Differential Equations

    10: Variational Calculus

    11: Physical Applications

    (i.e. Mechanics, Electromagnetism, Thermodynamics)

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