An Introduction to Laplace Transforms and Fourier Series
By: by Philip P.G. Dyke
Series: Springer Undergraduate Mathematics Series, 1615-2085; Springer undergraduate mathematics series
Publisher: Springer London; Imprint; Springer
Published: 2001
Place of publication: London
Language: eng
Format: [electronic resource] /
Number of pages: 250
ISBN-13: 9781447105053
Subjects: Mathematics; Fourier analysis; Global analysis (Mathematics)
Description: This book is a self-contained introduction to Laplace Transforms and Fourier Series; emphasising the applications of Laplace transforms throughout, the book also provides coverage of the underlying pure mathematical structures. Alongside the Laplace transform, the notion of Fourier series is developed from first principles. Exercises are provided to consolidate understanding of the concepts and techniques, and only a knowledge of elementary calculus and trigonometry is assumed. For second and third year students looking for a rigorous and practical introduction to the subject, this book will be an invaluable source.
Table of contents: title: The Laplace Transform; title: Further Properties; title: Convolution and the Solutions; title: Fourier Series; title: Partial Differential Equations; title: Fourier Transforms; title: Complex Variables and Laplace Transforms; title: Appendices: A: Answers to Exercises; title: B: Table of Laplace Transforms; title: C: Linear Spaces.