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An Excursion Through Partial Differential Equations: Problem Books in Mathematics

Autor Svetlin G. Georgiev
en Limba Engleză Hardback – 18 ian 2024
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-solvingskills will also find this exercise collection both challenging and beneficial.
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Specificații

ISBN-13: 9783031487835
ISBN-10: 3031487834
Pagini: 422
Ilustrații: VIII, 422 p. 2 illus.
Dimensiuni: 155 x 235 mm
Greutate: 0.78 kg
Ediția:1st ed. 2023
Editura: Springer Nature Switzerland
Colecția Springer
Seria Problem Books in Mathematics

Locul publicării:Cham, Switzerland

Cuprins

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.

Notă biografică

Svetlin G. Georgiev (born 1974, Bulgaria) has worked in various areas of mathematics. His current focus lies on harmonic analysis, functional analysis, partial differential equations, ordinary differential equations, Clifford and quaternion analysis, integral equations, and dynamic calculus on time scales. He has authored or co-authored several books, including "Real Quaternionic Calculus Handbook" (2014), "Fractional Dynamic Calculus and Fractional Dynamic Equations on Time Scales" (2018), "Functional Dynamic Equations on Time Scales" (2019), "Theory of Distributions" (2021, now in its second edition), and "Fuzzy Dynamic Equations, Dynamic Inclusions and Optimal Control Problems on Time Scales" (2021), all published with Springer.

Textul de pe ultima copertă

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 willalso find this exercise collection both challenging and beneficial.

Caracteristici

Offers a rich assortment of exercises, with detailed solutions or hints Presents concepts with clarity and organization, allowing readers to effortlessly follow the solution techniques Provides insights into the practical application of PDEs, empowering students to tackle challenges with confidence