Basic Partial Differential Equations

ISBN-10
1351070088
ISBN-13
9781351070089
Series
Basic Partial Differential Equations
Category
Mathematics
Language
English
Published
2018
Authors
David Bleecker, George Csordas

Description

"Methods of solution for partial differential equations (PDEs) used in mathematics, science, and engineering are clarified in this self-contained source. The reader will learn how to use PDEs to predict system behaviour from an initial state of the system and from external influences, and enhance the success of endeavours involving reasonably smooth, predictable changes of measurable quantities. This text enables the reader to not only find solutions of many PDEs, but also to interpret and use these solutions. It offers 6000 exercises ranging from routine to challenging. The palatable, motivated proofs enhance understanding and retention of the material. Topics not usually found in books at this level include but examined in this text:the application of linear and nonlinear first-order PDEs to the evolution of population densities and to traffic shocksconvergence of numerical solutions of PDEs and implementation on a computerconvergence of Laplace series on spheresquantum mechanics of the hydrogen atomsolving PDEs on manifoldsThe text requires some knowledge of calculus but none on differential equations or linear algebra."--Provided by publisher.

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