Download or read book Theory of the Integral written by Stanislaw Saks and published by Franklin Classics. This book was released on 2018-10-15 with total page 362 pages. 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.
Download or read book The Classical Theory of Integral Equations written by Stephen M. Zemyan and published by Springer Science & Business Media. This book was released on 2012-07-10 with total page 350 pages. 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.
Download or read book Integral Theory in Action written by Sean Esbjörn-Hargens and published by State University of New York Press. This book was released on 2010-08-01 with total page 483 pages. 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.
Download or read book Singular Integral Equations written by N. I. Muskhelishvili and published by Courier Corporation. This book was released on 2013-02-19 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: DIVHigh-level treatment of one-dimensional singular integral equations covers Holder Condition, Hilbert and Riemann-Hilbert problems, Dirichlet problem, more. 1953 edition. /div
Download or read book Linear Integral Equations written by William Vernon Lovitt and published by . This book was released on 1924 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Theory of the Integral written by Stanislaw Saks and published by Courier Dover Publications. This book was released on 2005 with total page 376 pages. 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.
Download or read book Integral Leadership written by John P. Forman and published by State University of New York Press. This book was released on 2013-04-18 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Direct Integral Theory written by O. A. Nielsen and published by CRC Press. This book was released on 2020-08-27 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Measure and Integral written by Richard Wheeden and published by CRC Press. This book was released on 1977-11-01 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume develops the classical theory of the Lebesgue integral and some of its applications. The integral is initially presented in the context of n-dimensional Euclidean space, following a thorough study of the concepts of outer measure and measure. A more general treatment of the integral, based on an axiomatic approach, is later given.
Download or read book A Theory of Everything written by Ken Wilber and published by Shambhala Publications. This book was released on 2001-10-16 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Geometric Integration Theory written by Steven G. Krantz and published by Springer Science & Business Media. This book was released on 2008-12-15 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Essentials of Integration Theory for Analysis written by Daniel W. Stroock and published by Springer Nature. This book was released on 2020-11-24 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Path Integral Methods in Quantum Field Theory written by R. J. Rivers and published by Cambridge University Press. This book was released on 1988-10-27 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: The applications of functional integral methods introduced in this text for solving a range of problems in quantum field theory will prove useful for students and researchers in theoretical physics and quantum field theory.
Download or read book Theory of Functionals and of Integral and Integro differential Equations written by Vito Volterra and published by Courier Dover Publications. This book was released on 2005 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A classic work by the mathematician who developed the general theory of functions that depend on a continuous set of values of another function, this volume deals primarily with integral equations.
Download or read book Integral Equations written by Wolfgang Hackbusch and published by Birkhäuser. This book was released on 2012-12-06 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of integral equations has been an active research field for many years and is based on analysis, function theory, and functional analysis. On the other hand, integral equations are of practical interest because of the «boundary integral equation method», which transforms partial differential equations on a domain into integral equations over its boundary. This book grew out of a series of lectures given by the author at the Ruhr-Universitat Bochum and the Christian-Albrecht-Universitat zu Kiel to students of mathematics. The contents of the first six chapters correspond to an intensive lecture course of four hours per week for a semester. Readers of the book require background from analysis and the foundations of numeri cal mathematics. Knowledge of functional analysis is helpful, but to begin with some basic facts about Banach and Hilbert spaces are sufficient. The theoretical part of this book is reduced to a minimum; in Chapters 2, 4, and 5 more importance is attached to the numerical treatment of the integral equations than to their theory. Important parts of functional analysis (e. g. , the Riesz-Schauder theory) are presented without proof. We expect the reader either to be already familiar with functional analysis or to become motivated by the practical examples given here to read a book about this topic. We recall that also from a historical point of view, functional analysis was initially stimulated by the investigation of integral equations.
Download or read book Integral Representation Theory written by Jaroslav Lukeš and published by Walter de Gruyter. This book was released on 2010 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents the state of the art of convexity, with an emphasis to integral representation. The exposition is focused on Choquet's theory of function spaces with a link to compact convex sets. An important feature of the book is an interplay between various mathematical subjects, such as functional analysis, measure theory, descriptive set theory, Banach spaces theory and potential theory. A substantial part of the material is of fairly recent origin and many results appear in the book form for the first time. The text is self-contained and covers a wide range of applications. From the contents: Geometry of convex sets Choquet theory of function spaces Affine functions on compact convex sets Perfect classes of functions and representation of affine functions Simplicial function spaces Choquet's theory of function cones Topologies on boundaries Several results on function spaces and compact convex sets Continuous and measurable selectors Construction of function spaces Function spaces in potential theory and Dirichlet problem Applications
Download or read book Integral Equation Methods in Scattering Theory written by David Colton and published by SIAM. This book was released on 2013-11-15 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic book provides a rigorous treatment of the Riesz?Fredholm theory of compact operators in dual systems, followed by a derivation of the jump relations and mapping properties of scalar and vector potentials in spaces of continuous and H?lder continuous functions. These results are then used to study scattering problems for the Helmholtz and Maxwell equations. Readers will benefit from a full discussion of the mapping properties of scalar and vector potentials in spaces of continuous and H?lder continuous functions, an in-depth treatment of the use of boundary integral equations to solve scattering problems for acoustic and electromagnetic waves, and an introduction to inverse scattering theory with an emphasis on the ill-posedness and nonlinearity of the inverse scattering problem.
