Introduction To Hilbert Space Methods In Partial Differential Equations PDF Download
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Author | : Karl E. Gustafson |
Publisher | : Courier Corporation |
Total Pages | : 500 |
Release | : 2012-04-26 |
Genre | : Mathematics |
ISBN | : 0486140873 |
Download Introduction to Partial Differential Equations and Hilbert Space Methods Book in PDF, ePub and Kindle
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 |
Total Pages | : 226 |
Release | : 2011-09-12 |
Genre | : Mathematics |
ISBN | : 0486135799 |
Download Hilbert Space Methods in Partial Differential Equations Book in PDF, ePub and Kindle
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 | : Jaak Peetre |
Publisher | : |
Total Pages | : 394 |
Release | : 1957 |
Genre | : |
ISBN | : |
Download Introduction to Hilbert Space Methods in Partial Differential Equations Book in PDF, ePub and Kindle
Author | : R. E. Showalter |
Publisher | : |
Total Pages | : 298 |
Release | : 1968 |
Genre | : Differential equations, Partial |
ISBN | : |
Download An Introduction to Hilbert Space Methods in Partial Differential Equations Book in PDF, ePub and Kindle
Lecture notes.
Author | : Wolfgang Arendt |
Publisher | : Springer Nature |
Total Pages | : 463 |
Release | : 2023-01-01 |
Genre | : Mathematics |
ISBN | : 303113379X |
Download Partial Differential Equations Book in PDF, ePub and Kindle
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 | : Karl E. Gustafson |
Publisher | : |
Total Pages | : |
Release | : 1980 |
Genre | : |
ISBN | : |
Download Introduction to Partial Differential Equations and Hilbert Space Methods Partial Differential Equations Book in PDF, ePub and Kindle
Author | : Ralph E. Showalter |
Publisher | : |
Total Pages | : 196 |
Release | : 1979 |
Genre | : |
ISBN | : |
Download Hilbert Space Methods for Partial Differential Equations Book in PDF, ePub and Kindle
Author | : R. E. Showalter |
Publisher | : |
Total Pages | : 196 |
Release | : 1977 |
Genre | : Differential equations, Partial |
ISBN | : |
Download Hilbert Space Methods for Partial Differential Equations Book in PDF, ePub and Kindle
Author | : Martin Schechter |
Publisher | : |
Total Pages | : 274 |
Release | : 1977 |
Genre | : Mathematics |
ISBN | : |
Download Modern Methods in Partial Differential Equations Book in PDF, ePub and Kindle
Author | : Samuel S. Holland |
Publisher | : Courier Corporation |
Total Pages | : 578 |
Release | : 2012-05-04 |
Genre | : Mathematics |
ISBN | : 0486139298 |
Download Applied Analysis by the Hilbert Space Method Book in PDF, ePub and Kindle
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.