The Theory and Applications of Harmonic Integrals
The Theory and Applications of Harmonic Integrals

Author: W. V. D. Hodge

Publisher: CUP Archive

Published: 1989-05-25

Total Pages: 308

ISBN-13: 9780521358811

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First published in 1941, this book, by one of the foremost geometers of his day, rapidly became a classic. In its original form the book constituted a section of Hodge's essay for which the Adam's prize of 1936 was awarded, but the author substantially revised and rewrote it. The book begins with an exposition of the geometry of manifolds and the properties of integrals on manifolds. The remainder of the book is then concerned with the application of the theory of harmonic integrals to other branches of mathematics, particularly to algebraic varieties and to continuous groups. Differential geometers and workers in allied subjects will welcome this reissue both for its lucid account of the subject and for its historical value. For this paperback edition, Professor Sir Michael Atiyah has written a foreword that sets Hodges work in its historical context and relates it briefly to developments.

Harmonic Integrals
Harmonic Integrals

Author: Georges De Rham

Publisher:

Published: 2013-02

Total Pages: 124

ISBN-13: 9781258578343

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Lectures Delivered In A Seminar Conducted By Professors Hermann Weyl And Karl Ludwig Siegel At The Institute For Advanced Study, 1950.

Harmonic Function Theory
Harmonic Function Theory

Author: Sheldon Axler

Publisher: Springer Science & Business Media

Published: 2013-11-11

Total Pages: 266

ISBN-13: 1475781377

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This book is about harmonic functions in Euclidean space. This new edition contains a completely rewritten chapter on spherical harmonics, a new section on extensions of Bochers Theorem, new exercises and proofs, as well as revisions throughout to improve the text. A unique software package supplements the text for readers who wish to explore harmonic function theory on a computer.

An Introduction to the Harmonic Series and Logarithmic Integrals
An Introduction to the Harmonic Series and Logarithmic Integrals

Author: Ali Olaikhan

Publisher:

Published: 2021-04-15

Total Pages:

ISBN-13: 9781736736005

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This book provides a broad panel of results about the harmonic series and logarithmic integrals, some of which are, as far as I know, new in the mathematical literature. One goal of the book is to introduce the harmonic series in a way that will be approachable by anyone with a good knowledge of calculus-from high school students to researchers. The other goal is to present this book as a good reference resource for such series, as they are not commonly found in the standard textbooks and only very few books address them, apart from articles that are highly specialized and addressed in general to a small audience. The book will equip the reader with plenty of important tools that are necessary to solve (challenging) problems involving the harmonic series, and will also help the reader explore advanced results.

Harmonic Analysis (PMS-43), Volume 43
Harmonic Analysis (PMS-43), Volume 43

Author: Elias M. Stein

Publisher: Princeton University Press

Published: 2016-06-02

Total Pages: 712

ISBN-13: 140088392X

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This book contains an exposition of some of the main developments of the last twenty years in the following areas of harmonic analysis: singular integral and pseudo-differential operators, the theory of Hardy spaces, L\sup\ estimates involving oscillatory integrals and Fourier integral operators, relations of curvature to maximal inequalities, and connections with analysis on the Heisenberg group.

(Almost) Impossible Integrals, Sums, and Series
(Almost) Impossible Integrals, Sums, and Series

Author: Cornel Ioan Vălean

Publisher: Springer

Published: 2019-05-10

Total Pages: 572

ISBN-13: 3030024628

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This book contains a multitude of challenging problems and solutions that are not commonly found in classical textbooks. One goal of the book is to present these fascinating mathematical problems in a new and engaging way and illustrate the connections between integrals, sums, and series, many of which involve zeta functions, harmonic series, polylogarithms, and various other special functions and constants. Throughout the book, the reader will find both classical and new problems, with numerous original problems and solutions coming from the personal research of the author. Where classical problems are concerned, such as those given in Olympiads or proposed by famous mathematicians like Ramanujan, the author has come up with new, surprising or unconventional ways of obtaining the desired results. The book begins with a lively foreword by renowned author Paul Nahin and is accessible to those with a good knowledge of calculus from undergraduate students to researchers, and will appeal to all mathematical puzzlers who love a good integral or series.

A Modern Approach to Functional Integration
A Modern Approach to Functional Integration

Author: John R. Klauder

Publisher: Springer Science & Business Media

Published: 2010-11-08

Total Pages: 292

ISBN-13: 0817647910

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This text takes advantage of recent developments in the theory of path integration and attempts to make a major paradigm shift in how the art of functional integration is practiced. The techniques developed in the work will prove valuable to graduate students and researchers in physics, chemistry, mathematical physics, and applied mathematics who find it necessary to deal with solutions to wave equations, both quantum and beyond. A Modern Approach to Functional Integration offers insight into a number of contemporary research topics, which may lead to improved methods and results that cannot be found elsewhere in the textbook literature. Exercises are included in most chapters, making the book suitable for a one-semester graduate course on functional integration.

Il principio di minimo e sue applicazioni alle equazioni funzionali
Il principio di minimo e sue applicazioni alle equazioni funzionali

Author: S. Faedo

Publisher: Springer Science & Business Media

Published: 2011-06-14

Total Pages: 165

ISBN-13: 3642109268

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L. Nirenberg: On ellliptic partial differential equations.- S. Agmon: The Lp approach to the Dirichlet problems.- C.B. Morrey, Jr.: Multiple integral problems in the calculus of variations and related topics.- L. Bers: Uniformizzazione e moduli.