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Green's Functions (2nd Revised edition)
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.
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.
Brief Description:
This introduction to Green's functions has been written with applications in mind. The material is presented in a practical manner for use by advanced undergraduates and beginning postgraduate students in mathematics and the applied sciences. Many exercises and examples are used throughout.
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