Buchcover - The Classical Theory of Integral Equations - ISBN 978-0-8176-8349-8
Leseprobe - The Classical Theory of Integral Equations - ISBN 978-0-8176-8349-8
From the reviews:
“The textbook under review is a concise introduction to the classical theory of integral equations. The textbook is written for an advanced undergraduate student or an early graduate student; it is essentially self-contained. Comprehensive examples are presented that reinforce underlying theories and illustrate computational procedures. The textbook consists of eight chapters and two appendices … . Each chapter begins with a section titled ‘Tools of the trade’ that contains all the necessary prerequisites. … Each section ends with a list of 5–15 exercises.” (Alexei Yu. Karlovich, Mathematical Reviews, April, 2013)
“This book covers the classical theory of linear, scalar Fredholm and Volterra equations. … All chapters include numerous simple examples … . useful for engineering students wishing to learn the fundamentals of integral equation theory.” (Stig-Olof Londen, zbMATH, Vol. 1270, 2013)
The Classical Theory of Integral Equations is a thorough, concise, and rigorous treatment of the essential aspects of the theory of integral equations. The book provides the background and insight necessary to facilitate a complete understanding of the fundamental results in the field. With a firm foundation for the theory in their grasp, students will be well prepared and motivated for further study. Included in the presentation are: A section entitled Tools of the Trade at the beginning of each chapter, providing necessary background information for comprehension of the results presented in that chapter; Thorough discussions of the analytical methods used to solve many types of integral equations; An introduction to the numerical methods that are commonly used to produce approximate solutions to integral equations; Over 80 illustrative examples that are explained in meticulous detail; Nearly 300 exercises specifically constructed to enhance the understanding of both routine and challenging concepts; Guides to Computation to assist the student with particularly complicated algorithmic procedures. This unique textbook offers a comprehensive and balanced treatment of material needed for a general understanding of the theory of integral equations by using only the mathematical background that a typical undergraduate senior should have. The self-contained book will serve as a valuable resource for advanced undergraduate and beginning graduate-level students as well as for independent study. Scientists and engineers who are working in the field will also find this text to be user friendly and informative.
