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Theory of the Integral

Author: Stanislaw Saks

Publisher: Franklin Classics

Published: 2018-10-15

Total Pages: 362

ISBN-13: 9780343289959

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

Author: Stephen M. Zemyan

Publisher: Springer Science & Business Media

Published: 2012-07-10

Total Pages: 350

ISBN-13: 0817683496

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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

Author: Sean Esbjörn-Hargens

Publisher: State University of New York Press

Published: 2010-08-01

Total Pages: 483

ISBN-13: 1438433867

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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.

Singular Integral Equations

Author: N. I. Muskhelishvili

Publisher: Courier Corporation

Published: 2013-02-19

Total Pages: 466

ISBN-13: 0486145069

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DIVHigh-level treatment of one-dimensional singular integral equations covers Holder Condition, Hilbert and Riemann-Hilbert problems, Dirichlet problem, more. 1953 edition. /div

Integral Leadership

Author: John P. Forman

Publisher: State University of New York Press

Published: 2013-04-18

Total Pages: 235

ISBN-13: 1438446284

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This groundbreaking book offers leaders a way to determine what theories, models, and tools best meet the needs of their organizations. Authors and organizational consultants John P. Forman and Laurel A. Ross know leaders are awash in business theory, often coming from well-thumbed bestsellers. But how do you match promising theories to real people and circumstances? Using the insights of Integral Theory, particularly Ken Wilber's AQAL framework, the authors provide a simple yet elegant outline that appreciates and engages a wide range of leadership theories and techniques. Four major leadership styles emerge: the Impulsive, Diplomatic, Achiever, and Pluralistic approaches. The authors describe the presuppositions, characteristics, advantages, and disadvantages of each using a variety of real-life examples of individual leaders and organizations. Forman and Ross propose an emerging Integral perspective and suggest integral modes of performance management, change management, and teamwork. Ultimately, the Integral perspective gives leaders the insight and flexibility to use a range of resources to meet organizational needs in a rapidly changing world.

A Theory of Everything

Author: Ken Wilber

Publisher: Shambhala Publications

Published: 2001-10-16

Total Pages: 208

ISBN-13: 0834823047

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A concise, comprehensive overview of the “M Theory” and its application in today’s world, by a renowned American philosopher Ken Wilber has long been hailed as one of the most important thinkers of our time, but his work has seemed inaccessible to readers who lack a background in consciousness studies or evolutionary theory—until now. In A Theory of Everything, Wilber uses clear, non-technical language to present complex, cutting-edge theories that integrate the realms of body, mind, soul, and spirit. He then demonstrates how these theories and models can be applied to real world problems and incorporated into readers’ everyday lives. Wilber begins his study by presenting models like “spiral dynamics”—a leading model of human evolution—and his groundbreaking “all-level, all-quadrant” model for integrating science and religion, showing how they are being applied to politics, medicine, business, education, and the environment. He also covers broader models, explaining how they can integrate the various worldviews that have been developed around the world throughout the ages. Finally, Wilber proposes that readers take up an "integral transformative practice"—such as meditation—to help them apply and develop this integral vision in their personal, daily lives. A fascinating and easy-to-follow exploration of the “M Theory,” this book is another tour-de-force from one of America’s most inventive minds.

Direct Integral Theory

Author: O. A. Nielsen

Publisher: CRC Press

Published: 2020-08-27

Total Pages: 186

ISBN-13: 1000154157

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This book covers various topics related to direct integral theory, including Borel spaces, direct integral of Hilbert spaces and operators, direct integrals of representations, direct integrals and types of von Neumann algebras, and measures on the quasi-dual representations.

Geometric Integration Theory

Author: Steven G. Krantz

Publisher: Springer Science & Business Media

Published: 2008-12-15

Total Pages: 344

ISBN-13: 0817646795

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This textbook introduces geometric measure theory through the notion of currents. Currents, continuous linear functionals on spaces of differential forms, are a natural language in which to formulate types of extremal problems arising in geometry, and can be used to study generalized versions of the Plateau problem and related questions in geometric analysis. Motivating key ideas with examples and figures, this book is a comprehensive introduction ideal for both self-study and for use in the classroom. The exposition demands minimal background, is self-contained and accessible, and thus is ideal for both graduate students and researchers.

Essentials of Integration Theory for Analysis

Author: Daniel W. Stroock

Publisher: Springer Nature

Published: 2020-11-24

Total Pages: 296

ISBN-13: 303058478X

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When the first edition of this textbook published in 2011, it constituted a substantial revision of the best-selling Birkhäuser title by the same author, A Concise Introduction to the Theory of Integration. Appropriate as a primary text for a one-semester graduate course in integration theory, this GTM is also useful for independent study. A complete solutions manual is available for instructors who adopt the text for their courses. This second edition has been revised as follows: §2.2.5 and §8.3 have been substantially reworked. New topics have been added. As an application of the material about Hermite functions in §7.3.2, the author has added a brief introduction to Schwartz's theory of tempered distributions in §7.3.4. Section §7.4 is entirely new and contains applications, including the Central Limit Theorem, of Fourier analysis to measures. Related to this are subsections §8.2.5 and §8.2.6, where Lévy's Continuity Theorem and Bochner's characterization of the Fourier transforms of Borel probability on RN are proven. Subsection 8.1.2 is new and contains a proof of the Hahn Decomposition Theorem. Finally, there are several new exercises, some covering material from the original edition and others based on newly added material.

Dancing with Sophia

Author: Michael Schwartz

Publisher: SUNY Press

Published: 2019-11-01

Total Pages: 524

ISBN-13: 1438476558

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Explores the philosophical dimensions and implications of integral theory. Dancing with Sophia is the first book of essays to focus on the philosophical dimensions and implications of integral theory. A metatheory that organizes first order theories and disciplines into higher order modes of knowing and insight needed to address the complexity of today’s world, integral theory has already impacted a wide range of disciplines, from psychology to business to religious studies to art. Included here are perspectives by scholars in the continental, comparativist, and process traditions who dive into integral theory’s postmetaphysical claims in order to mine, extend, and critique its philosophical merits. On the verge of its own emergence, integral philosophy promotes modes of creative critical thought oriented toward the multidimensional flourishing of planetary well-being, and Dancing with Sophia will be of interest to scholars in philosophy; religious studies; transpersonal, developmental, and humanist psychology; and more. “Integral theory is a bold and provocative endeavor. It challenges one to think past the norm, to sail beyond the horizon and risk encountering the Scylla and Charybdis of what is academically acceptable—or at least familiar—and what is possible, in ways that only are now beginning to dawn on both thinking and dwelling. If it is nothing else, integral theory is the movement beyond the purely intellectual into the lived experience. This is its ‘meta-’ dimension properly understood.” — from the Foreword by Brian Schroeder