Abstract Methods in Partial Differential Equations

Nonfiction, Science & Nature, Mathematics, Differential Equations
Cover of the book Abstract Methods in Partial Differential Equations by Robert W. Carroll, Dover Publications
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Robert W. Carroll ISBN: 9780486263281
Publisher: Dover Publications Publication: May 27, 2013
Imprint: Dover Publications Language: English
Author: Robert W. Carroll
ISBN: 9780486263281
Publisher: Dover Publications
Publication: May 27, 2013
Imprint: Dover Publications
Language: English
This self-contained text is directed to graduate students with some previous exposure to classical partial differential equations. Readers can attain a quick familiarity with various abstract points of view in partial differential equations, allowing them to read the literature and begin thesis work. The author's detailed presentation requires no prior knowledge of many mathematical subjects and illustrates the methods' applicability to the solution of interesting differential problems.
The treatment emphasizes existence-uniqueness theory as a topic in functional analysis and examines abstract evolution equations and ordinary differential equations with operator coefficients. A concluding chapter on global analysis develops some basic geometrical ideas essential to index theory, overdetermined systems, and related areas. In addition to exercises for self-study, the text features a thorough bibliography. Appendixes cover topology and fixed-point theory in addition to Banach algebras, analytic functional calculus, fractional powers of operators, and interpolation theory.
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
This self-contained text is directed to graduate students with some previous exposure to classical partial differential equations. Readers can attain a quick familiarity with various abstract points of view in partial differential equations, allowing them to read the literature and begin thesis work. The author's detailed presentation requires no prior knowledge of many mathematical subjects and illustrates the methods' applicability to the solution of interesting differential problems.
The treatment emphasizes existence-uniqueness theory as a topic in functional analysis and examines abstract evolution equations and ordinary differential equations with operator coefficients. A concluding chapter on global analysis develops some basic geometrical ideas essential to index theory, overdetermined systems, and related areas. In addition to exercises for self-study, the text features a thorough bibliography. Appendixes cover topology and fixed-point theory in addition to Banach algebras, analytic functional calculus, fractional powers of operators, and interpolation theory.

More books from Dover Publications

Cover of the book Costumes of the Greeks and Romans by Robert W. Carroll
Cover of the book Practical Conic Sections by Robert W. Carroll
Cover of the book Candide by Robert W. Carroll
Cover of the book The Art of Horsemanship by Robert W. Carroll
Cover of the book Symmetry in Chemistry by Robert W. Carroll
Cover of the book Bridge for Bright Beginners by Robert W. Carroll
Cover of the book Applied Mathematics for Engineers and Physicists by Robert W. Carroll
Cover of the book Manual of the Grasses of the United States, Volume Two by Robert W. Carroll
Cover of the book De Magnete by Robert W. Carroll
Cover of the book 361 Full-Color Allover Patterns for Artists and Craftspeople by Robert W. Carroll
Cover of the book Vector Analysis by Robert W. Carroll
Cover of the book Dubliners by Robert W. Carroll
Cover of the book Applied Complex Variables by Robert W. Carroll
Cover of the book Quantum Mechanics in Simple Matrix Form by Robert W. Carroll
Cover of the book The Cruise of the Dazzler by Robert W. Carroll
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy