Mathematical Methods - Sadri Hassani

Mathematical Methods

For Students of Physics and Related Fields

(Autor)

Buch | Softcover
832 Seiten
2008 | 2nd ed. 2009
Springer-Verlag New York Inc.
978-1-4939-3712-7 (ISBN)
90,94 inkl. MwSt
This new edition has been made more user-friendly through organization into more concise chapters. It addresses the mathematical needs of sophomores and juniors in physics, engineering and other related fields. An entirely new section covers Probability.
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.

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.

Erscheinungsdatum
Zusatzinfo XXIII, 832 p.
Verlagsort New York
Sprache englisch
Maße 178 x 254 mm
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Angewandte Mathematik
Naturwissenschaften Physik / Astronomie Allgemeines / Lexika
Naturwissenschaften Physik / Astronomie Theoretische Physik
ISBN-10 1-4939-3712-X / 149393712X
ISBN-13 978-1-4939-3712-7 / 9781493937127
Zustand Neuware
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