The Pull Back

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The Pullback Equation For Differential Forms

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Author : Gyula Csató
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-11-12

The Pullback Equation For Differential Forms written by Gyula Csató and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-12 with Mathematics categories.

An important question in geometry and analysis is to know when two k-forms f and g are equivalent through a change of variables. The problem is therefore to find a map φ so that it satisfies the pullback equation: φ*(g) = f. In more physical terms, the question under consideration can be seen as a problem of mass transportation. The problem has received considerable attention in the cases k = 2 and k = n, but much less when 3 ≤ k ≤ n–1. The present monograph provides the first comprehensive study of the equation. The work begins by recounting various properties of exterior forms and differential forms that prove useful throughout the book. From there it goes on to present the classical Hodge–Morrey decomposition and to give several versions of the Poincaré lemma. The core of the book discusses the case k = n, and then the case 1≤ k ≤ n–1 with special attention on the case k = 2, which is fundamental in symplectic geometry. Special emphasis is given to optimal regularity, global results and boundary data. The last part of the work discusses Hölder spaces in detail; all the results presented here are essentially classical, but cannot be found in a single book. This section may serve as a reference on Hölder spaces and therefore will be useful to mathematicians well beyond those who are only interested in the pullback equation. The Pullback Equation for Differential Forms is a self-contained and concise monograph intended for both geometers and analysts. The book may serve as a valuable reference for researchers or a supplemental text for graduate courses or seminars.

Focusing Oriented Psychotherapy

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Author : Eugene T. Gendlin
language : en
Publisher: Guilford Press
Release Date : 2012-07-27

Focusing Oriented Psychotherapy written by Eugene T. Gendlin and has been published by Guilford Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-27 with Psychology categories.

Examining the actual moment-to-moment process of therapy, this volume provides specific ways for therapists to engender effective movement, particularly in those difficult times when nothing seems to be happening. The book concentrates on the ongoing client therapist relationship and ways in which the therapist's responses can stimulate and enable a client's capacity for direct experiencing and "focusing." Throughout, the client therapist relationship is emphasized, both as a constant factor and in terms of how the quality of the relationship is manifested at specific times. The author also shows how certain relational responses can turn some difficulties into moments of relational therapy.

Handbook Of Mathematics

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Author : Thierry Vialar
language : en
Publisher: BoD - Books on Demand
Release Date : 2016-12-07

Handbook Of Mathematics written by Thierry Vialar and has been published by BoD - Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-07 with Mathematics categories.

The book consists of XI Parts and 28 Chapters covering all areas of mathematics. It is a tool for students, scientists, engineers, students of many disciplines, teachers, professionals, writers and also for a general reader with an interest in mathematics and in science. It provides a wide range of mathematical concepts, definitions, propositions, theorems, proofs, examples, and numerous illustrations. The difficulty level can vary depending on chapters, and sustained attention will be required for some. The structure and list of Parts are quite classical: I. Foundations of Mathematics, II. Algebra, III. Number Theory, IV. Geometry, V. Analytic Geometry, VI. Topology, VII .Algebraic Topology, VIII. Analysis, IX. Category Theory, X. Probability and Statistics, XI. Applied Mathematics. Appendices provide useful lists of symbols and tables for ready reference. The publisher’s hope is that this book, slightly revised and in a convenient format, will serve the needs of readers, be it for study, teaching, exploration, work, or research.

Official Gazette Of The United States Patent Office

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Author : United States. Patent Office
language : en
Publisher:
Release Date : 1911

Official Gazette Of The United States Patent Office written by United States. Patent Office and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1911 with Patents categories.

Elementary Mechanics Including Hydrostatics And Pneumatics

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Author : Sir Oliver Lodge
language : en
Publisher:
Release Date : 1897

Elementary Mechanics Including Hydrostatics And Pneumatics written by Sir Oliver Lodge and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1897 with Mechanics categories.

Elements Of Mechanics Including Kinematics Kinetics And Statics With Applications

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Author : Thomas Wallace Wright
language : en
Publisher:
Release Date : 1896

Elements Of Mechanics Including Kinematics Kinetics And Statics With Applications written by Thomas Wallace Wright and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1896 with Mechanics categories.

Harper S New Monthly Magazine

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Author : Henry Mills Alden
language : en
Publisher:
Release Date : 1879

Harper S New Monthly Magazine written by Henry Mills Alden and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1879 with American literature categories.

Harper's informs a diverse body of readers of cultural, business, political, literary and scientific affairs.

House Documents

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Author :
language : en
Publisher:
Release Date : 1884

House Documents written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1884 with categories.

Cassier S Magazine

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Author :
language : en
Publisher:
Release Date : 1895

Cassier S Magazine written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1895 with Engineering categories.

The Art Of Taming And Educating The Horse

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Author : Dennis Magner
language : en
Publisher:
Release Date : 1886

The Art Of Taming And Educating The Horse written by Dennis Magner and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1886 with Horses categories.