Green's Functions

G. F. Roach (Author)

9780521282888, Cambridge University Press

Paperback, published 27 May 1982

340 pages
22.6 x 15.1 x 2.3 cm, 0.555 kg

'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

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.

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.

Subject Areas: Integral calculus & equations [PBKL]