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Minimal Surfaces I: Boundary Value Problems
"Minimal Surfaces 1" is an introduction to the field of minimal surfaces and a presentation of the classical theory as well as of parts of the modern development. Part 1 is particularly apt for students who want to enter this interesting area of analysis and differential geometry which during the last 25 years of mathematical research has been very active and productive. Surveys of various subareas will lead the student to the current...
528 p itc 08/01/2013 307 2
Từ khóa: mathematics geometry, minimal surfaces, boundary value problems, analysis and differential geometry, mathematical research, differential geometry
Elementary Differential Equations and Boundary Value Problems
Written from the perspective of the applied mathematician, the latest edition of this bestselling book focuses on the theory and practical applications of Differential Equations to engineering and the sciences. Emphasis is placed on the methods of solution, analysis, and approximation. Use of technology, illustrations, and problem sets help readers develop an intuitive understanding of the material. Historical footnotes trace the development...
1310 p itc 08/01/2013 308 2
Từ khóa: differential equations, theory and practical applications of Differential, boundary value problems, elementary differential equations, phương trình vi phân, toán học
A Unified Approach to Boundary Value Problems
This book presents a new approach to analyzing initial-boundary value problems for integrable partial differential equations (PDEs) in two dimensions, a method that the author first introduced in 1997 and which is based on ideas of the inverse scattering transform. This method is unique in also yielding novel integral representations for the explicit solution of linear boundary value problems, which include such classical problems as the heat...
352 p itc 08/01/2013 289 1
Từ khóa: Evolution Equations on the Half-Line, Evolution Equations on the Finite Interval, differential equations, phương trình vi phân, linear boundary value problems, linear evolution equations
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