Tatsien Li and Tiehu Qin, Translated by Yachun Li
Other Titles in Applied Mathematics 126
Now available in English for the first time, Physics and Partial Differential Equations, Volume I bridges 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
• 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 solutions, and
• some commonly used approaches to solving PDEs.
Appropriate as a textbook for upper-level undergraduate and graduate courses, the book also serves as a reference for researchers in application areas that use PDEs and in physical and mechanical disciplines.
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.
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Partial differential equations, physics, electrodynamics, fluid dynamics, elastic mechanics
2012 / x + 264 pages / Softcover / ISBN 978-1-611972-26-9
List Price $79.00 / SIAM Member Price $55.30 / OT126