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Theory of the Integral

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Release : 2018-10-15
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Kind : eBook
Book Rating : 959/5 ( reviews)

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Book Synopsis Theory of the Integral by : Stanislaw Saks

Download or read book Theory of the Integral written by Stanislaw Saks. This book was released on 2018-10-15. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

The Classical Theory of Integral Equations

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Release : 2012-07-10
Genre : Mathematics
Kind : eBook
Book Rating : 496/5 ( reviews)

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Book Synopsis The Classical Theory of Integral Equations by : Stephen M. Zemyan

Download or read book The Classical Theory of Integral Equations written by Stephen M. Zemyan. This book was released on 2012-07-10. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Integral Theory in Action

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Release : 2010-08-01
Genre : Psychology
Kind : eBook
Book Rating : 867/5 ( reviews)

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Book Synopsis Integral Theory in Action by : Sean Esbjörn-Hargens

Download or read book Integral Theory in Action written by Sean Esbjörn-Hargens. This book was released on 2010-08-01. Available in PDF, EPUB and Kindle. Book excerpt: In a world as complex as ours, an integral approach is needed to help sort through a dynamic landscape and respond effectively to individual and collective challenges. Integral Theory in Action provides the first multi-authored overview of such an approach. Integral Theory is the result of 30 years of research and is being applied in over 35 distinct disciplines. This volume brings together two dozen leading scholar-practitioners who are actively applying integral principles and who address a range of issues from an integral perspective including: climate change, embodiment, feminist aesthetics, community discourse, treatment of depression, developmental theory, and global ethics. The strengths, limitations, and potential of Integral Theory and Ken Wilber's AQAL model are weighed by each contributor. This collection pushes the field of Integral Theory in new ways and new directions, and provides a comprehensive overview that makes it an invaluable resource for any integral effort.

Theory of the Integral

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Release : 2005
Genre : Mathematics
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Book Synopsis Theory of the Integral by : Stanislaw Saks

Download or read book Theory of the Integral written by Stanislaw Saks. This book was released on 2005. Available in PDF, EPUB and Kindle. Book excerpt: An excellent introduction to modern real variable theorem, this volume covers all the standard topics: theory, theory of measure, functions with general properties, and theory of integration, with emphasis on the Lebesgue integral and its related theory of derivation. The author begins with a discussion of the integral in an abstract space, covering additive classes of sets, measurable functions, integration of sequences of functions, and the Lebesgue decomposition of an additive function. Succeeding chapters cover Carath�odory measure; functions of bounded variation and the Lebesgue-Stieltjes integral; the derivation of additive functions of a set and of an interval; and major and minor functions and the Perron integral. Additional topics include functions of generalized bounded variation; Denjoy integrals; and derivates of functions of one or two real variables. This book will prove to be extremely useful as a course text or as supplementary reading to students of real variable theory and others interested in this branch of mathematics. Only a minimal background in elementary analysis is necessary, and the preface offers a helpful overview of the history of the theory of real functions.

Linear Integral Equations

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Release : 1924
Genre : Integral equations
Kind : eBook
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Book Synopsis Linear Integral Equations by : William Vernon Lovitt

Download or read book Linear Integral Equations written by William Vernon Lovitt. This book was released on 1924. Available in PDF, EPUB and Kindle. Book excerpt:

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