Paul C. Matthews: Vector Calculus

Cover: 9783540761808 | Vector Calculus | Paul C. Matthews | Taschenbuch | x | Englisch | 1998

Rückseite: 9783540761808 | Vector Calculus | Paul C. Matthews | Taschenbuch | x | Englisch | 1998

Dekorationsartikel gehören nicht zum Leistungsumfang.

Sprache: Englisch

37,44 €

inkl. MwSt.

Versandkostenfrei per Post / DHL

Aktuell nicht verfügbar

Kategorien:

Beschreibung

Vector calculus is the foundation stone on which a vast amount of
mathematical physics is based (for example, fluid dynamics, solid
mechanics and general relativity all involve a description of vector and
scalar quantities in three dimensions) so it is important that students
have a thorough grasp of it before moving on to more advanced areas of
mathematics. Most books are aimed at engineering applications: this book
focuses on the underlying mathematical structure of the subject and is
aimed at first and second year undergraduate mathematic students.

Über den Autor

Paul C. Matthews was on the faculty of the University of Nottingham for more than two decades. A specialist of dynamical systems and their numerical analysis, he is the author of the bestselling textbook Vector Calculus (Springer, 1998).

Zusammenfassung

Inhaltsverzeichnis

1. Vector Algebra.- 1.1 Vectors and scalars.- 1.2 Dot product.- 1.3 Cross product.- 1.4 Scalar triple product.- 1.5 Vector triple product.- 1.6 Scalar fields and vector fields.- 2. Line, Surface and Volume Integrals.- 2.1 Applications and methods of integration.- 2.2 Line integrals.- 2.3 Surface integrals.- 2.4 Volume integrals.- 3. Gradient, Divergence and Curl.- 3.1 Partial differentiation and Taylor series.- 3.2 Gradient of a scalar field.- 3.3 Divergence of a vector field.- 3.4 Curl of a vector field.- 4. Suffix Notation and its Applications.- 4.1 Introduction to suffix notation.- 4.2 The Kronecker delta ?ij.- 4.3 The alternating tensor ?ijk.- 4.4 Relation between ?ijk and ?ij.- 4.5 Grad, div and curl in suffix notation.- 4.6 Combinations of grad, div and curl.- 4.7 Grad, div and curl applied to products of functions.- 5. Integral Theorems.- 5.1 Divergence theorem.- 5.2 Stokes's theorem.- 6. Curvilinear Coordinates.- 6.1 Orthogonal curvilinear coordinates.- 6.2 Grad, div and curl in orthogonal curvilinear coordinate systems.- 6.3 Cylindrical polar coordinates.- 6.4 Spherical polar coordinates.- 7. Cartesian Tensors.- 7.1 Coordinate transformations.- 7.2 Vectors and scalars.- 7.3 Tensors.- 7.4 Physical examples of tensors.- 8. Applications of Vector Calculus.- 8.1 Heat transfer.- 8.2 Electromagnetism.- 8.3 Continuum mechanics and the stress tensor.- 8.4 Solid mechanics.- 8.5 Fluid mechanics.- Solutions.

Erscheinungsjahr:	1998
Fachbereich:	Analysis
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	Springer Undergraduate Mathematics Series
Inhalt:	x 182 S. 1 s/w Illustr. 182 p. 1 illus.
ISBN-13:	9783540761808
ISBN-10:	3540761802
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Matthews, Paul C.
Hersteller:	Springer Springer Vieweg Springer-Verlag GmbH Springer Undergraduate Mathematics Series
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 178 x 11 mm
Von/Mit:	Paul C. Matthews
Erscheinungsdatum:	14.01.2000
Gewicht:	0,352 kg