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MATHEMATISCHE METHODEN IN DER PHYSIK: PARTIELLES DIFFERENTIAL von Victor Henner & Tatyana-
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eBay-Artikelnr.:226546985354
Artikelmerkmale
- Artikelzustand
- Gut
- Hinweise des Verkäufers
- ISBN-10
- 156881335X
- Book Title
- Mathematical Methods in Physics: Partial Differential Equations,
- ISBN
- 9781568813356
Über dieses Produkt
Product Identifiers
Publisher
A + K Peter's, The Limited
ISBN-10
156881335X
ISBN-13
9781568813356
eBay Product ID (ePID)
21038675369
Product Key Features
Number of Pages
860 Pages
Language
English
Publication Name
Mathematical Methods in Physics : Partial Differential Equations, Fourier Series, and Special Functions
Subject
General, Physics / Mathematical & Computational
Publication Year
2009
Type
Textbook
Subject Area
Mathematics, Science
Format
Hardcover
Dimensions
Item Height
1.9 in
Item Weight
54.4 Oz
Item Length
9.5 in
Item Width
7.8 in
Additional Product Features
Intended Audience
College Audience
LCCN
2008-022076
Dewey Edition
22
Dewey Decimal
530.15
Table Of Content
Fourier Series Periodic Processes and Periodic Functions Fourier Formulas Orthogonal Systems of Functions Convergence of Fourier Series Fourier Series for Non-periodic Functions Fourier Expansions on Intervals of Arbitrary Length Fourier Series in Cosine or Sine Functions The Complex Form of the Fourier Series Complex Generalized Fourier Series Fourier Series for Functions of Several Variables Uniform Convergence of Fourier Series The Gibbs Phenomenon Completeness of a System of Trigonometric Functions General Systems of Functions: Parseval''s Equality and Completeness Approximation of Functions in the Mean Fourier Series of Functions Given at Discrete Points Solution of Differential Equations by Using Fourier Series Fourier Transforms The Fourier Integral Problems Sturm-Liouville Theory The Sturm-Liouville Problem Mixed Boundary Conditions Examples of Sturm-Liouville Problems Problems One-Dimensional Hyperbolic Equations Derivation of the Basic Equations Boundary and Initial Conditions Other Boundary Value Problems: Longitudinal Vibrations of a Thin Rod Torsional Oscillations of an Elastic Cylinder Acoustic Waves Waves in a Shallow Channel Electrical Oscillations in a Circuit Traveling Waves: D''Alembert Method Semi-infinite String Oscillations and the Use of Symmetry Properties Finite Intervals: The Fourier Method for One-Dimensional Wave Equations Generalized Fourier Solutions Energy of the String Problems Two-Dimensional Hyperbolic Equations Derivation of the Equations of Motion Oscillations of a Rectangular Membrane The FourierMethod Applied to Small Transverse Oscillations of a Circular Membrane Problems One-Dimensional Parabolic Equations Physical Problems Described by Parabolic Equations: Boundary Value Problems The Principle of the Maximum, Correctness, and the Generalized Solution The Fourier Method of Separation of Variables for the Heat Conduction Equation Heat Conduction in an Infinite Bar Heat Equation for a Semi-infinite Bar Problems Parabolic Equations for Higher-Dimensional Problems Heat Conduction in More than One Dimension Heat Conduction within a Finite Rectangular Domain Heat Conduction within a Circular Domain Problems Elliptic Equations Elliptic Partial Differential Equations and Related Physical Problems The Dirichlet Boundary Value Problem for Laplace''s Equation in a Rectangular Domain Laplace''s and Poisson''s Equations for Two-Dimensional Domains with Circular Symmetry Laplace''s Equation in Cylindrical Coordinates Problems Bessel Functions Boundary Value Problems Leading to Bessel Functions Bessel Functions of the First Kind Properties of Bessel Functions of the First Kind: Jn (x) Bessel Functions of the Second Kind Bessel Functions of the Third Kind Modified Bessel Functions The Effect of Boundaries on Bessel Functions Orthogonality and Normalization of Bessel Functions The Fourier-Bessel Series Further Examples of Fourier-Bessel Series Expansions Spherical Bessel Functions The Gamma Function Problems Legendre Functions Boundary Value Problems Leading to Legendre Polynomials Generating Function for Legendre Polynomials Recurrence Relations Orthogonality of Legendre Polynomials The Multipole Expansion in Electrostatics Associated Legendre Functions P m (x) n Orthogonality and the Normof Associated Legendre Functions Fourier-Legendre Series in Legendre Polynomials Fourier-Legendre Series in Associated Legendre Functions Laplace''s Equation in Spherical Coordinates and Spherical Functions Problems Eigenvalues and Eigenfunctions of the Sturm-Liouville Problem Auxiliary Functions for Different Types of Boundary Conditions The Sturm-Liouville Problem and the Laplace Equation Vector Calculus How to Use the Software Associated with this Book Program Overview Examples Using the Program TrigSeries Examples Using the Program Waves Examples Using the Program Heat Examples Using the Program Laplace Examples Using the Program FourierSeries
Synopsis
This book is a text on partial differential equations (PDEs) of mathematical physics and boundary value problems, trigonometric Fourier series, and special functions. This is the core content of many courses in the fields of engineering, physics, mathematics, and applied mathematics. The accompanying software provides a laboratory environment that allows the user to generate and model different physical situations and learn by experimentation. From this standpoint, the book along with the software can also be used as a reference book on PDEs, Fourier series and special functions for students and professionals alike.
LC Classification Number
QC20.H487 2008
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- 8***g (252)- Bewertung vom Käufer.Letzte 6 MonateBestätigter KaufA smooth and professional transaction throughout. The item was exactly as described, clearly listed, and fairly priced. Communication from the seller was prompt, polite, and helpful, with dispatch confirmed quickly. The parcel was securely packaged and arrived in excellent condition, ahead of the expected delivery date. Care was taken at every stage of the process. I would be happy to buy from this seller again—many thanks for a reliable and well-handled sale.FINLAND AND EUROPE: INTERNATIONAL CRISES IN THE PERIOD OF By Juhani Paasivirta (Nr. 335694307643)
- a***2 (13)- Bewertung vom Käufer.Letzte 6 MonateBestätigter KaufItem was shipped quickly and packaged well. Item was exactly as described, brand new and it was even sealed. The seller also messaged me as soon as the purchase went through so communication was great. This was the last book in the series that I needed and to be able to find it in such great condition and at a great cost was unexpected. Highly recommend this seller and will definitely buy from again in the future.
- e***2 (1298)- Bewertung vom Käufer.Letzte 6 MonateBestätigter KaufMint condition and brand new, at the most competitive price. Top customer service, which includes: communication, professional packaging which protected the dust cover from bending and corners from bumping. Speedy shipping and delivery from across the country. A highly recommended seller with whom I would easily shop again. Thank you!