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An Introduction To Partial Differential Equations by Yehuda Pinchover and Jacob Rubinstein is a book available to read on EtoBox.

What is An Introduction To Partial Differential Equations about?

1 (p1): 1 Introduction 1 (p1-1): 1.1 Preliminaries 3 (p1-2): 1.2 Classification 3 (p1-3): 1.3 Differential operators and the superposition principle 4 (p1-4): 1.4 Differential equations as mathematical models 17 (p1-5): 1.5 Associated conditions 20 (p1-6): 1.6 Simple examples 21 (p1-7): 1.7 Exercises 23 (p2): 2 First-order equations 23 (p2-1): 2.1 Introduction 24 (p2-2): 2.2 Quasilinear equations 25 (p2-3): 2.3 The method of characteristics 30 (p2-4): 2.4 Examples of the characteristics method 36 (p2-5): 2.5 The existence and uniqueness theorem 39 (p2-6): 2.6 The Lagrange method 41 (p2-7): 2.7 Conservation laws and shock waves 50 (p2-8): 2.8 The eikonal equation 52 (p2-9): 2.9 General nonlinear equations 58 (p2-10): 2.10 Exercises 64 (p3): 3 Second-order linear equations in two indenpendent variables 64 (p3-1): 3.1 Introduction 64 (p3-2): 3.2 Classification 67 (p3-3): 3.3 Canonical form of hyperbolic equations 69 (p3-4): 3.4 Canonical form of parabolic equations 70 (p3-5): 3.5 Canonical form of elliptic equations 73 (p3-6): 3.6 Exercises 76 (p4): 4 The one-dimensional wave equation 76 (p4-1): 4.1 Introduction 76 (p4-2): 4.2 Canonical form and general solution 78 (p4-3): 4.3 The Cau

Author

Yehuda Pinchover and Jacob Rubinstein

Publisher

Cambridge University Press.

Published

2005

Language

EN