00000cmm a22000004a 4500 UP-99796217611212393 Buklod 20241113144508.0 m go j cr cn |||aaaaa 241113s2011 ch ||||go||j||||||||engdd 9783642214493 (eBook) 3642214495 (eBook) (iLib)UPD-00215704155 CSt DMLR rda eng DMLUC QA 431 W364 2011eb Wazwaz, Abdul-Majid author Linear and nonlinear integral equations methods and applications Abdul-Majid Wazwaz. Beijing Heidelberg Higher Education Press New York Springer c2011 1 online resource (xviii, 639 pages) illustrations text rdacontent computer rdamedia online resource rdacarrier Includes bibliographical references and index PART I: Linear Integral Equations. Preliminaries Introductory Concepts of Integral Equations Volterra Integral Equations Fredholm Integral Equations Volterra Integro-Differential Equations Fredholm Integro-Differential Equations Abel's Integral Equation and Singular Integral Equations Volterra-Fredholm Integral Equations Volterra-Fredholm Integro-Differential Equations Systems of Volterra Integral Equations Systems of Fredholm Integral Equations Systems of Singular Integral Equations PART II: Nonlinear Integral Equations. Nonlinear Volterra Integral Equations Nonlinear Volterra Integro-Differential Equations Nonlinear Fredholm Integral Equations Nonlinear Fredholm Integro-Differential Equations Nonlinear Singular Integral Equations Applications of Integral Equations IP-based subscription, access limited to within on-campus computer network Access via Electronic Resources of the UPD University Library Website Linear and Nonlinear Integral Equations: Methods and Applications is a self-contained book divided into two parts. Part I offers a comprehensive and systematic treatment of linear integral equations of the first and second kinds. The text brings together newly developed methods to reinforce and complement the existing procedures for solving linear integral equations. The Volterra integral and integro-differential equations, the Fredholm integral and integro-differential equations, the Volterra-Fredholm integral equations, singular and weakly singular integral equations, and systems of these equations, are handled in this part by using many different computational schemes. Selected worked-through examples and exercises will guide readers through the text. Part II provides an extensive exposition on the nonlinear integral equations and their varied applications, presenting in an accessible manner a systematic treatment of ill-posed Fredholm problems, bifurcation points, and singular points. Selected applications are also investigated by using the powerful Padé approximants.   This book is intended for scholars and researchers in the fields of physics, applied mathematics and engineering. It can also be used as a text for advanced undergraduate and graduate students in applied mathematics, science and engineering, and related fields. Dr. Abdul-Majid Wazwaz is a Professor of Mathematics at Saint Xavier University in Chicago, Illinois, USA Electronic reproduction New York SpringerLink 2011 Available via World Wide Web through Springer Integral equations. SpringerLink (Online service). http://link.springer.com/book/10.1007/978-3-642-21449-3 Available for University of the Philippines Diliman via SpringerLink. Click here to access FO UPD DMLR QA 431 W364 2011eb Electronic Resource