Partial Differential Equations (Applied Mathematical Sciences, 1)
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Description
This book is a very well-accepted introduction to the subject. In it, the author identifies the significant aspects of the theory and explores them with a limited amount of machinery from mathematical analysis. Now, in this fourth edition, the book has again been updated with an additional chapter on Lewy’s example of a linear equation without solutions. Title Page © Page Preface to the fourth edition Contents 1 The Single First-Order Equation 2 Second-Order Equations: Hyperbolic Equations for Functions of Two Independent Variables 3 Characteristic Manifolds and the Cauchy Problem 4 The Laplace Equation 5 Hyperbolic Equations in Higher Dimensions 6 Higher-Order Elliptic Equationswith Constant Coefficients 7 Parabolic Equations 8 H. Lewey’s Example of a Linear Equation without Solutions Bibliography Glossary Index Back Cover Página en blanco
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