Introduction to Partial Differential Equations and Hilbert Space Methods PDF Download
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Author: Karl E. Gustafson Publisher: Courier Corporation ISBN: 0486140873 Category : Mathematics Languages : en Pages : 500
Book Description
Easy-to-use text examines principal method of solving partial differential equations, 1st-order systems, computation methods, and much more. Over 600 exercises, with answers for many. Ideal for a 1-semester or full-year course.
Author: Karl E. Gustafson Publisher: Courier Corporation ISBN: 0486140873 Category : Mathematics Languages : en Pages : 500
Book Description
Easy-to-use text examines principal method of solving partial differential equations, 1st-order systems, computation methods, and much more. Over 600 exercises, with answers for many. Ideal for a 1-semester or full-year course.
Author: Ralph E. Showalter Publisher: Courier Corporation ISBN: 0486135799 Category : Mathematics Languages : en Pages : 226
Book Description
This graduate-level text opens with an elementary presentation of Hilbert space theory sufficient for understanding the rest of the book. Additional topics include boundary value problems, evolution equations, optimization, and approximation.1979 edition.
Author: Wolfgang Arendt Publisher: Springer Nature ISBN: 303113379X Category : Mathematics Languages : en Pages : 463
Book Description
This textbook introduces the study of partial differential equations using both analytical and numerical methods. By intertwining the two complementary approaches, the authors create an ideal foundation for further study. Motivating examples from the physical sciences, engineering, and economics complete this integrated approach. A showcase of models begins the book, demonstrating how PDEs arise in practical problems that involve heat, vibration, fluid flow, and financial markets. Several important characterizing properties are used to classify mathematical similarities, then elementary methods are used to solve examples of hyperbolic, elliptic, and parabolic equations. From here, an accessible introduction to Hilbert spaces and the spectral theorem lay the foundation for advanced methods. Sobolev spaces are presented first in dimension one, before being extended to arbitrary dimension for the study of elliptic equations. An extensive chapter on numerical methods focuses on finite difference and finite element methods. Computer-aided calculation with MapleTM completes the book. Throughout, three fundamental examples are studied with different tools: Poisson’s equation, the heat equation, and the wave equation on Euclidean domains. The Black–Scholes equation from mathematical finance is one of several opportunities for extension. Partial Differential Equations offers an innovative introduction for students new to the area. Analytical and numerical tools combine with modeling to form a versatile toolbox for further study in pure or applied mathematics. Illuminating illustrations and engaging exercises accompany the text throughout. Courses in real analysis and linear algebra at the upper-undergraduate level are assumed.
Author: Samuel S. Holland Publisher: Courier Corporation ISBN: 0486139298 Category : Mathematics Languages : en Pages : 578
Book Description
Numerous worked examples and exercises highlight this unified treatment. Simple explanations of difficult subjects make it accessible to undergraduates as well as an ideal self-study guide. 1990 edition.
Author: Karl E. Gustafson
Author: Karl E. Gustafson
Author: Ralph E. Showalter
Author: Jaak Peetre
Author: R. E. Showalter
Author: Wolfgang Arendt
Author: Karl E. Gustafson
Author: Ralph E. Showalter
Author: R. E. Showalter
Author: Samuel S. Holland
Author: Martin Schechter