Exterior Analysis

Erscheinungsjahr 2013
ISBN: 978-0-12-415902-0
Verlag: ACADEMIC PRESS

Buch, Englisch, 779 Seiten, Format (B × H): 202 mm x 246 mm, Gewicht: 1609 g

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.

Zielgruppe

Physical Scientists, Engineers, Applied Mathematicians

Autoren/Hrsg.

Suhubi, Erdogan

Fachgebiete

• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik

Inhaltsverzeichnis

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)