Green's Functions
2nd Edition
- Author: G. F. Roach
- Date Published: May 1982
- availability: Available
- format: Paperback
- isbn: 9780521282888
-
Green's functions are an important tool used in solving boundary value problems associated with ordinary and partial differential equations. This self-contained and systematic introduction to Green's functions has been written with applications in mind. The material is presented in an unsophisticated and rather more practical manner than usual. Consequently advanced undergraduates and beginning postgraduate students in mathematics and the applied sciences will find this account particularly attractive. Many exercises and examples have been supplied throughout to reinforce comprehension and to increase familiarity with the technique.
Reviews & endorsements
'It is well planned and splendidly motivated and the computational material is covered without obscuring the conceptual development.' Bulletin of the Institute of Mathematics and its Applications
See more reviews'The exposition is generally clear and well motivated mathematically… Generally this book should fill the need of those who want an introduction to the theory of Green's Functions but lack the mathematical background to understand more advanced accounts.' Mathematical Reviews
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×Product details
- Edition: 2nd Edition
- Date Published: May 1982
- format: Paperback
- isbn: 9780521282888
- length: 340 pages
- dimensions: 226 x 151 x 23 mm
- weight: 0.555kg
- availability: Available
Table of Contents
Preface
Part I. The Concept of a Green's Function
Part II. Vector Spaces and Linear Transformations
Part III. Systems of Finite Dimension
Part IV. Continuous Functions
Part V. Integral Operators
Part VI. Generalized Fourier Series and Complete Vector Spaces
Part VII. Differential Operators
Part VIII. Integral Equations
Part IX. Green's Functions in Higher-Dimensional Spaces
Part X. Calculation of Particular Green's Functions
Part XI. Approximate Green's Functions
Appendices
Bibliography
Chapter references
Index.
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