Equations of Mathematical Physics
Mathematical physics plays an important role in the study of many physical processes - hydrodynamics, elasticity, and electrodynamics, to name just a few. Because of the enormous range and variety of problems dealt with by mathematical physics, this thorough advanced-undergraduate or graduate-level text considers only those problems leading to partial differential equations. The authors - two well-known Russian mathematicians - have focused on typical physical processes and the principal types …
Read More ↓Title Statements
- Full title :Equations of Mathematical Physics
Summary
Mathematical physics plays an important role in the study of many physical processes - hydrodynamics, elasticity, and electrodynamics, to name just a few. Because of the enormous range and variety of problems dealt with by mathematical physics, this thorough advanced-undergraduate or graduate-level text considers only those problems leading to partial differential equations. The authors - two well-known Russian mathematicians - have focused on typical physical processes and the principal types of equations deailing with them. Special attention is paid throughout to mathematical formulation, ri.
Read More ↓Edition Statements
- Publication Date:2013.
Publication Statements
- Publisher(s):Dover Publications
- Place of Publication:Newburyport
- Language:eng
- Publication Date:2013.
Notes
7. Uniqueness Theorem for An Infinite Region
The Physical Object
- Description:1 online resource (1353 pages)
Edition Identifiers
- ISBN:0486173364, 1306391806, 9781306391801, 9780486173368
- oclc:on1162533096
- LC Classification:QA401.T512 1990
- Dewey Decimal:530.1/5
Table of Contents
Cover; Title Page; Copyright Page; Contents; Preface to The Second Edition; Publisher's Note; Preface to The First Edition; I. Classification of Partial Differential Equations; 1. Classification of Partial Differential Equations of The Second Order; 1. Differential Equations with Two Independent Variables; 2. Classification of Equations of The Second Order with Several Independent Variables; 3. Canonical Forms of Linear Equations with Constant Coefficients; Problems on Chapter I; II. Equations of The Hyperbolic Type
1. Simplest Problems Leading to Equations of the Hyperbolic Type. Formulation of Boundary Problems1. Equation of Small Transverse Vibrations of A String; 2. Equation of Longitudinal Vibrations of Rods and Strings; 3. Vibrational Energy of A String; 4. Derivation of The Transmission Line Equation; 5. Transverse Vibrations of A Membrane; 6. Equations of Hydrodynamics and Acoustics; 7. Boundary and Initial Conditions; 8. Reduction of The General Problem; 9. Formulation of Boundary Problems for The Case of Several Variables; 10. Uniqueness Theorem; Problems; 2. Method of Propagating Waves
1. D'Alembert's Formula2. Physical Interpretation; 3. Continuity of Solutions; 4. S…
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