Introduction To Partial Differential Equations And Hilbert Space Methods

Author : Karl E. Gustafson
Publisher : Courier Corporation
ISBN 13 : 0486140873
Total Pages : 500 pages
Book Rating : 4.72/5 ( download)

DOWNLOAD NOW!

Download or read book Introduction to Partial Differential Equations and Hilbert Space Methods written by Karl E. Gustafson and published by Courier Corporation. This book was released on 2012-04-26 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 :
ISBN 13 :
Total Pages : pages
Book Rating : 4.25/5 ( download)

DOWNLOAD NOW!

Download or read book Introduction to Partial Differential Equations and Hilbert Space Methods Partial Differential Equations written by Karl E. Gustafson and published by . This book was released on 1980 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Ralph E. Showalter
Publisher : Courier Corporation
ISBN 13 : 0486135799
Total Pages : 226 pages
Book Rating : 4.93/5 ( download)

DOWNLOAD NOW!

Download or read book Hilbert Space Methods in Partial Differential Equations written by Ralph E. Showalter and published by Courier Corporation. This book was released on 2011-09-12 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 :
ISBN 13 :
Total Pages : 394 pages
Book Rating : 4.27/5 ( download)

DOWNLOAD NOW!

Download or read book Introduction to Hilbert Space Methods in Partial Differential Equations written by Jaak Peetre and published by . This book was released on 1957 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Wolfgang Arendt
Publisher : Springer Nature
ISBN 13 : 303113379X
Total Pages : 463 pages
Book Rating : 4.94/5 ( download)

DOWNLOAD NOW!

Download or read book Partial Differential Equations written by Wolfgang Arendt and published by Springer Nature. This book was released on 2023-01-01 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Rainer Picard
Publisher : Walter de Gruyter
ISBN 13 : 3110250276
Total Pages : 489 pages
Book Rating : 4.75/5 ( download)

DOWNLOAD NOW!

Download or read book Partial Differential Equations written by Rainer Picard and published by Walter de Gruyter. This book was released on 2011-06-30 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a systematic approach to a solution theory for linear partial differential equations developed in a Hilbert space setting based on a Sobolev lattice structure, a simple extension of the well-established notion of a chain (or scale) of Hilbert spaces. The focus on a Hilbert space setting (rather than on an apparently more general Banach space) is not a severe constraint, but rather a highly adaptable and suitable approach providing a more transparent framework for presenting the main issues in the development of a solution theory for partial differential equations. In contrast to other texts on partial differential equations, which consider either specific equation types or apply a collection of tools for solving a variety of equations, this book takes a more global point of view by focusing on the issues involved in determining the appropriate functional analytic setting in which a solution theory can be naturally developed. Applications to many areas of mathematical physics are also presented. The book aims to be largely self-contained. Full proofs to all but the most straightforward results are provided, keeping to a minimum references to other literature for essential material. It is therefore highly suitable as a resource for graduate courses and also for researchers, who will find new results for particular evolutionary systems from mathematical physics.

Author : R. E. Showalter
Publisher :
ISBN 13 :
Total Pages : 298 pages
Book Rating : 4.09/5 ( download)

DOWNLOAD NOW!

Download or read book An Introduction to Hilbert Space Methods in Partial Differential Equations written by R. E. Showalter and published by . This book was released on 1968 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lecture notes.

Author : Martin Schechter
Publisher : Courier Corporation
ISBN 13 : 0486492966
Total Pages : 259 pages
Book Rating : 4.64/5 ( download)

DOWNLOAD NOW!

Download or read book Modern Methods in Partial Differential Equations written by Martin Schechter and published by Courier Corporation. This book was released on 2014-01-15 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: When first published in 1977, this volume made recent accomplishments in its field available to advanced undergraduates and beginning graduate students of mathematics. Now it remains a permanent, much-cited contribution to the ever-expanding literature.

Author : Giuseppe Da Prato
Publisher : Cambridge University Press
ISBN 13 : 1139433431
Total Pages : 397 pages
Book Rating : 4.33/5 ( download)

DOWNLOAD NOW!

Download or read book Second Order Partial Differential Equations in Hilbert Spaces written by Giuseppe Da Prato and published by Cambridge University Press. This book was released on 2002-07-25 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: State of the art treatment of a subject which has applications in mathematical physics, biology and finance. Includes discussion of applications to control theory. There are numerous notes and references that point to further reading. Coverage of some essential background material helps to make the book self contained.

Author : Samuel S. Holland
Publisher : Courier Corporation
ISBN 13 : 0486139298
Total Pages : 578 pages
Book Rating : 4.96/5 ( download)

DOWNLOAD NOW!

Download or read book Applied Analysis by the Hilbert Space Method written by Samuel S. Holland and published by Courier Corporation. This book was released on 2012-05-04 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.