Exterior Analysis: Using Applications of Differential Forms

ISBN-13: 9780124159020 / Angielski / Twarda / 2013 / 779 str.

Suhubi, Erdogan

Opis

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

Recenzje

"The book is carefully written. It contains a rich material and covers an important part of differential geometry. Applications of the main abstract results can be found frequently. There are many examples and exercises.The book is useful for mathematicians, applied scientists and engineers." --Zentralblatt MATH, 1277.53001

"Suhubi introduces mathematicians, physicists, and engineers to the fundamental concepts and tools of exterior analysis, helps them gain competence in using these tools, and describes the advantages of the approach. He keeps the mathematics as simple as possible without sacrificing rigor. His topics include differential manifolds, tensor fields on manifolds, exterior differential forms, the integration of exterior forms, partial differential equations,." --ProtoView.com, February 2014

Spis treści

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)