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Green's Functions

Green's Functions

Green's Functions

2nd Edition
G. F. Roach
May 1982
Available
Paperback
9780521282888
£59.99
GBP
Paperback

    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

    '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

    See more reviews

    Product details

    May 1982
    Paperback
    9780521282888
    340 pages
    226 × 151 × 23 mm
    0.555kg
    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.
      Author
    • G. F. Roach