Sadri Hassani: Mathematical Methods | Buch

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Cover: 9780387095035 | Mathematical Methods | For Students of Physics and Related Fields

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Sprache: Englisch

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Beschreibung

Intended to follow the usual introductory physics courses, this book has the unique feature of addressing the mathematical needs of sophomores and juniors in physics, engineering and other related fields. Many original, lucid, and relevant examples from the physical sciences, problems at the ends of chapters, and boxes to emphasize important concepts help guide the student through the material.

Beginning with reviews of vector algebra and differential and integral calculus, the book continues with infinite series, vector analysis, complex algebra and analysis, ordinary and partial differential equations. Discussions of numerical analysis, nonlinear dynamics and chaos, and the Dirac delta function provide an introduction to modern topics in mathematical physics.

This new edition has been made more user-friendly through organization into convenient, shorter chapters. Also, it includes an entirely new section on Probability and plenty of new material on tensors and integral transforms.

Zusammenfassung

Includes many original, lucid, and relevant examples from the physical sciences, problems at the ends of chapters, and boxes to emphasize important concepts

Broad scope will be useful for students across a wide range of fields such as physics, engineering, and mathematics

Substantially revised edition features new sections on Tensors, Integral Transforms, Calculus of Variations, and Probability Theory

Inhaltsverzeichnis

Coordinates and Calculus.- Coordinate Systems and Vectors.- Differentiation.- Integration: Formalism.- Integration: Applications.- Dirac Delta Function.- Algebra of Vectors.- Planar and Spatial Vectors.- Finite-Dimensional Vector Spaces.- Vectors in Relativity.- Infinite Series.- Infinite Series.- Application of Common Series.- Integrals and Series as Functions.- Analysis of Vectors.- Vectors and Derivatives.- Flux and Divergence.- Line Integral and Curl.- Applied Vector Analysis.- Curvilinear Vector Analysis.- Tensor Analysis.- Complex Analysis.- Complex Arithmetic.- Complex Derivative and Integral.- Complex Series.- Calculus of Residues.- Differential Equations.- From PDEs to ODEs.- First-Order Differential Equations.- Second-Order Linear Differential Equations.- Laplace's Equation: Cartesian Coordinates.- Laplace's Equation: Spherical Coordinates.- Laplace's Equation: Cylindrical Coordinates.- Other PDEs of Mathematical Physics.- Special Topics.- Integral Transforms.- Calculus of Variations.- Nonlinear Dynamics and Chaos.- Probability Theory.

Details

Erscheinungsjahr:	2008
Fachbereich:	Astronomie
Genre:	Physik
Rubrik:	Naturwissenschaften & Technik
Thema:	Lexika
Medium:	Buch
Seiten:	860
Inhalt:	xxiii 832 S. 200 s/w Illustr. 50 s/w Fotos 150 s/w Zeichng.
ISBN-13:	9780387095035
ISBN-10:	0387095039
Sprache:	Englisch
Herstellernummer:	11370123
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Hassani, Sadri
Auflage:	2nd ed. 2009
Hersteller:	Springer New York Springer US, New York, N.Y.
Maße:	260 x 183 x 52 mm
Von/Mit:	Sadri Hassani
Erscheinungsdatum:	27.10.2008
Gewicht:	1,782 kg