TY  - BOOK
AU  - Zemyan,Stephen M.
ED  - SpringerLink (Online service)
TI  - The Classical Theory of Integral Equations: A Concise Treatment 
SN  - 9780817683498
AV  - QA372 
U1  - 515.352 23
PY  - 2012///
CY  - Boston, MA
PB  - Birkhäuser Boston, Imprint: Birkhäuser
KW  - Mathematics
KW  - Differential equations
KW  - Applied mathematics
KW  - Engineering mathematics
KW  - Mathematical physics
KW  - Ordinary Differential Equations
KW  - Appl.Mathematics/Computational Methods of Engineering
KW  - Mathematical Physics
KW  - Applications of Mathematics
N1  - Preface -- Introduction -- Fredholm Integral Equations of the Second Kind (Separable Kernel) -- Fredholm Integral Equations of the Second Kind (General Kernel) -- Volterra Integral Equations -- Differential and Integrodifferential Equations -- Nonlinear Integral Equations -- Singular Integral Equations -- Systems of Integral Equations -- Appendix A 2010 Mathematics Subject Classification 45-XX Integral Equations -- Appendix B Specialized Vocabularies and Sample Translations -- Bibliography -- Index
N2  - 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
UR  - http://dx.doi.org/10.1007/978-0-8176-8349-8
ER  -