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An excursion through partial differential equations

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	An excursion through partial differential equations/ by Svetlin G. Georgiev.
作者:	Georgiev, Svetlin G.
出版者:	Cham :Springer Nature Switzerland : : 2023.,
面頁冊數:	viii, 422 p. :ill., digital ;24 cm.
內容註:	Preface -- General Introduction -- First Order Partial Differential Equations -- Classifications of Second Order Partial Differential Equations -- Classifications and Canonical Forms for Linear Second Order Partial Differential Equations -- The Laplace Equation -- The Heat Equation -- The Wave Equation -- Solutions, Hints and Answers to the Exercises -- Solutions, Hints and Answers to the Problems -- Index.
Contained By:	Springer Nature eBook
標題:	Differential equations, Partial. -
電子資源:	https://doi.org/10.1007/978-3-031-48784-2
ISBN:	9783031487842

An excursion through partial differential equations
Georgiev, Svetlin G.

An excursion through partial differential equations[electronic resource] /by Svetlin G. Georgiev. - Cham :Springer Nature Switzerland :2023. - viii, 422 p. :ill., digital ;24 cm. - Problem books in mathematics,2197-8506. - Problem books in mathematics..

Preface -- General Introduction -- First Order Partial Differential Equations -- Classifications of Second Order Partial Differential Equations -- Classifications and Canonical Forms for Linear Second Order Partial Differential Equations -- The Laplace Equation -- The Heat Equation -- The Wave Equation -- Solutions, Hints and Answers to the Exercises -- Solutions, Hints and Answers to the Problems -- Index.

Presenting a rich collection of exercises on partial differential equations, this textbook equips readers with 96 examples, 222 exercises, and 289 problems complete with detailed solutions or hints. It explores a broad spectrum of partial differential equations, fundamental to mathematically oriented scientific fields, from physics and engineering to differential geometry and variational calculus. Organized thoughtfully into seven chapters, the journey begins with fundamental problems in the realm of PDEs. Readers progress through first and second-order equations, wave and heat equations, and finally, the Laplace equation. The text adopts a highly readable and mathematically solid format, ensuring concepts are introduced with clarity and organization. Designed to cater to upper undergraduate and graduate students, this book offers a comprehensive understanding of partial differential equations. Researchers and practitioners seeking to strengthen their problem-solving skills will also find this exercise collection both challenging and beneficial.

ISBN: 9783031487842

Standard No.: 10.1007/978-3-031-48784-2doiSubjects--Topical Terms:

518115
Differential equations, Partial.

LC Class. No.: QA377

Dewey Class. No.: 515.353

An excursion through partial differential equations
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505 0 $a Preface -- General Introduction -- First Order Partial Differential Equations -- Classifications of Second Order Partial Differential Equations -- Classifications and Canonical Forms for Linear Second Order Partial Differential Equations -- The Laplace Equation -- The Heat Equation -- The Wave Equation -- Solutions, Hints and Answers to the Exercises -- Solutions, Hints and Answers to the Problems -- Index.
520 $a Presenting a rich collection of exercises on partial differential equations, this textbook equips readers with 96 examples, 222 exercises, and 289 problems complete with detailed solutions or hints. It explores a broad spectrum of partial differential equations, fundamental to mathematically oriented scientific fields, from physics and engineering to differential geometry and variational calculus. Organized thoughtfully into seven chapters, the journey begins with fundamental problems in the realm of PDEs. Readers progress through first and second-order equations, wave and heat equations, and finally, the Laplace equation. The text adopts a highly readable and mathematically solid format, ensuring concepts are introduced with clarity and organization. Designed to cater to upper undergraduate and graduate students, this book offers a comprehensive understanding of partial differential equations. Researchers and practitioners seeking to strengthen their problem-solving skills will also find this exercise collection both challenging and beneficial.
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