
- 779 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
About this book
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.- Provides a thorough explanation of how to apply differential equations to solve real-world engineering problems- Helps researchers in mathematics, science, and engineering develop skills needed to implement mathematical techniques in their research- Includes physical applications and methods used to solve practical problems to determine symmetry
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Information
Table of contents
- Cover image
- Title page
- Table of Contents
- Copyright
- Preface
- Chapter I. Exterior Algebra
- Chapter II. Differentiable Manifolds
- Chapter III. Lie Groups
- Chapter IV. Tensor Fields on Manifolds
- Chapter V. Exterior Differential Forms
- Chapter VI. Homotopy Operator
- Chapter VII. Linear Connections
- Chapter VIII. Integration of Exterior Forms
- Chapter IX. Partial Differential Equations
- Chapter X. Calculus of Variations
- Chapter XI. Some Physical Applications
- References
- Index of Symbols
- Name Index
- Subject Index