Physics and Partial Differential Equations: Volume 2 - Softcover

Li, Tatsien; Qin, Tiehu

Softcover

ISBN 10: 1611973317 ISBN 13: 9781611973310

Publisher: Society for Industrial and Applied Mathematics, 2014

Synopsis

Physics and Partial Differential Equations, Volume II proceeds directly from Volume I (SIAM, 2012) with five additional chapters that bridge physics and applied mathematics in a manner that is easily accessible to readers with an undergraduate-level background in these disciplines.

Readers who are more familiar with mathematics than physics will discover the connection between various physical and mechanical disciplines and their related mathematical models, which are described by partial differential equations (PDEs). The authors establish the fundamental equations for fields such as electrodynamics; fluid dynamics, magnetohydrodynamics, and reacting fluid dynamics; elastic, thermoelastic, and viscoelastic mechanics; the kinetic theory of gases; special relativity; and quantum mechanics.

Readers who are more familiar with physics than mathematics will benefit from in-depth explanations of how PDEs work as effective mathematical tools to more clearly express and present the basic concepts of physics. The book describes the mathematical structures and features of these PDEs, including the types and basic characteristics of the equations, the behavior of the solutions, and some commonly used approaches to solving PDEs.

Each chapter can be read independently and includes exercises and references.

Audience: Used alone or in conjunction with Volume I, this book is appropriate as a textbook for upper-level undergraduate and graduate courses and can also serve as a reference for researchers in application areas that use PDEs and in physical and mechanical disciplines.

Contents: Preface to the English Edition; Preface to the Chinese Edition; Chapter 6: Thermoelasticity; Chapter 7: Viscoelasticity; Chapter 8: Kinetic Theory of Gases; Chapter 9: Special Relativity and Relativistic Fluid Dynamics; Chapter 10: Quantum Mechanics; Appendix C: Tensors in Minkowski Four-Space-Time; Index.

About this title

Book Description

Following on from Volume 1, this book provides a bridge between more problems in physics and the mathematical techniques used to solve them. The reader is guided through the derivation of some fundamental PDEs through to analysis of the solutions. Accessible to students and researchers in both mathematics and physics.

About the Author

Tatsien Li is a Professor in the School of Mathematical Sciences at Fudan University in Shanghai. He is a member of the Chinese Academy of Sciences and a foreign member of the French Academy of Sciences.

Tiehu Qin is a Professor in the School of Mathematical Sciences at Fudan University in Shanghai.

Edition details

• Publisher: Society for Industrial and Applied Mathematics
• Publication date: 2014
• ISBN 10: 1611973317
• ISBN 13: 9781611973310
• Binding: Paperback
• Language: English
• Edition number: 2
• Number of pages: 280