cover

Equations and Analytical Tools in Mathematical Physics

A Concise Introduction

Authors: Zhu, Yichao

  • Introduces second-order partial differential equations and special functions
  • Provides easily understandable knowledge maps
  • Includes prerequisite calculus and linear algebra for new learners
see more benefits

Buy this book

eBook $119.00
price for USA in USD
  • ISBN 978-981-16-5441-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.99
price for USA in USD
  • ISBN 978-981-16-5440-4
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
About this book

​This book highlights a concise and readable introduction to typical treatments of partial differential equations in mathematical physics. Mathematical physics is regarded by many as a profound discipline. In conventional textbooks of mathematical physics, the known and the new pieces of knowledge often intertwine with each other. The book aims to ease readers' struggle by facilitating a smooth transition to new knowledge. To achieve so, the author designs knowledge maps before each chapter and provides comparative summaries in each chapter whenever appropriate. Through these unique ways, readers can clarify the underlying structures among different equations and extend one's vision to the big picture. The book also emphasizes applications of the knowledge by providing practical examples. The book is intended for all those interested in mathematical physics, enabling them to develop a solid command in using partial differential equations to solve physics and engineering problems in a not-so-painful learning experience.

About the authors

Dr. Yichao Zhu received his Ph.D. in applied mathematics from the University of Oxford in 2012. He is Associate Professor at the Department of Engineering Mechanics, Dalian University of Technology, China. His research interests include modeling and simulations of physical processes involving multiple temporal and spatial scales, especially the applications of mathematical tools in developing quantitative insights over problems in material sciences and engineering-related subjects.

Table of contents (7 chapters)

Table of contents (7 chapters)
  • The Wave Equation

    Pages 3-55

    Zhu, Yichao

  • The Heat Equation

    Pages 57-98

    Zhu, Yichao

  • Poisson’s Equation

    Pages 99-139

    Zhu, Yichao

  • Summary over Second-Order Linear Partial Differential Equation

    Pages 141-162

    Zhu, Yichao

  • Bessel Functions

    Pages 165-197

    Zhu, Yichao

Buy this book

eBook $119.00
price for USA in USD
  • ISBN 978-981-16-5441-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.99
price for USA in USD
  • ISBN 978-981-16-5440-4
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Loading...

Services for this Book

Bibliographic Information

Bibliographic Information
Book Title
Equations and Analytical Tools in Mathematical Physics
Book Subtitle
A Concise Introduction
Authors
Copyright
2021
Publisher
Springer Singapore
Copyright Holder
Science Press
Distribution Rights
Distribution rights for print books in China Mainland: Science Press
eBook ISBN
978-981-16-5441-1
DOI
10.1007/978-981-16-5441-1
Hardcover ISBN
978-981-16-5440-4
Edition Number
1
Number of Pages
XII, 252
Number of Illustrations
8 b/w illustrations, 29 illustrations in colour
Topics