Partial Differential Equations and Applications: A Bridge for Students and Researchers in Applied Sciences


Hong-Ming Yin
Bok Engelsk 2023
Utgitt
Academic Press , 2023
Omfang
1 online resource (330 p.)
Opplysninger
Partial Differential Equations and Applications: A Bridge for Students and Researchers in Applied Sciences offers a unique approach to this key subject by connecting mathematical principles to the latest research advances in select topics. Beginning with very elementary PDEs, such as classical heat equations, wave equations and Laplace equations, the book focuses on concrete examples. It gives students basic skills and techniques to find explicit solutions for partial differential equations.As it progresses, the book covers more advanced topics such as the maximum principle and applications, Green's representation, Schauder's theory, finite-time blowup, and shock waves. By exploring these topics, students gain the necessary tools to deal with research topics in their own fields, whether proceeding in math or engineering areas.Class tested over multiple years with advanced undergraduate and graduate coursesFeatures many concrete examples and chapter exercisesAppropriate for advanced undergraduate and graduate courses geared to math and engineering studentsRequires minimal background beyond advanced calculus and differential equations
Emner
Difference Equations
Differential Equations, Partial
Mathematics
Dewey
ISBN
0-443-18706-1

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