Green's Functions

ISBN-13: 9780521282888 / Angielski / Miękka / 1982 / 340 str.

G. F. Roach; G. F. Roach

Opis

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.

Recenzje

'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

Spis treści

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.