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Basic partial differential equations

Author: David Bleecker; George Csordas
Publisher: Boca Raton, FL : CRC, 2018.
Series: CRC revivals.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
"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  Read more...
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Details

Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: David Bleecker; George Csordas
ISBN: 9781351070089 1351070088 9781351078535 1351078534
OCLC Number: 1020789917
Description: 1 online resource.
Contents: 1. Review and Introduction 2. First-Order PDEs 3. The Heat Equation 4. Fourier Series and Sturm-Liouville Theory 5. The Wave Equation 6. Laplace s Equation 7. Fourier Transforms 8. Numerical Solutions: An Introduction 9. PDEs In Higher Dimensions
Series Title: CRC revivals.
Responsibility: David Bleecker, George Csordas.

Abstract:

"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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