Dimensionstheorie

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Dimensionstheorie

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Author : Karl Menger
language : de
Publisher: Springer-Verlag
Release Date : 2013-11-21

Dimensionstheorie written by Karl Menger and has been published by Springer-Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-21 with Mathematics categories.

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen für die historische wie auch die disziplingeschichtliche Forschung zur Verfügung, die jeweils im historischen Kontext betrachtet werden müssen. Dieser Titel erschien in der Zeit vor 1945 und wird daher in seiner zeittypischen politisch-ideologischen Ausrichtung vom Verlag nicht beworben.

Dimensionstheorie

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Author : Karl Menger
language : de
Publisher:
Release Date : 1928

Dimensionstheorie written by Karl Menger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1928 with Set theory categories.

Lectures On Ordinary Differential Equations

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Author : Witold Hurewicz
language : en
Publisher: Courier Corporation
Release Date : 2014-07-21

Lectures On Ordinary Differential Equations written by Witold Hurewicz and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-21 with Mathematics categories.

Introductory treatment explores existence theorems for first-order scalar and vector equations, basic properties of linear vector equations, and two-dimensional nonlinear autonomous systems. "A rigorous and lively introduction." — The American Mathematical Monthly. 1958 edition.

Collected Works Of Witold Hurewicz

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Author : Witold Hurewicz
language : en
Publisher: American Mathematical Soc.
Release Date : 1995

Collected Works Of Witold Hurewicz written by Witold Hurewicz and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.

This book contains papers of the outstanding and versatile mathematician, Witold Hurewicz. Preceding the collection are introductory articles describing Hurewicz's contributions to Borel sets, dimension theory, and algebraic topology. Hurewicz first studied set theory and dimension, and his papers on this topic are especially clear and precise, making them accessible to beginning mathematicians. His work in algebraic topology is marked by five fundamental papers which provide an introduction to homotopy groups and the Hurewicz Theorem concerning the relation between homotopy and singular homology. These papers are included here in their original form along with English translations. Each paper in the collection is followed by a review from one of the major reviewing journals. These reviews were written by eminent mathematicians and serve as excellent abstracts for the papers.

Dimensionstheorie

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Author : Jörg Neunhäuserer
language : de
Publisher: Springer Spektrum
Release Date : 2021-08-17

Dimensionstheorie written by Jörg Neunhäuserer and has been published by Springer Spektrum this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-17 with Mathematics categories.

Dieses Essential gibt eine kompakte Einführung in die Dimensionstheorie. Die topologische Dimension und mehrere fraktale Dimensionen werden definiert und anhand von Beispielen erläutert. Lesende lernen grundlegende Sätze über die Dimension von kartesischen Produkten, Projektionen, Schnitten und arithmetischen Summen kennen. Weiterhin wird eine Vielfalt von Anwendungen der Dimensionstheorie in der Zahlentheorie, der Geometrie, der Analysis, den dynamischen Systemen und der Stochastik vorgestellt.

L E J Brouwer Collected Works

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Author : Hans Freudenthal
language : en
Publisher: Elsevier
Release Date : 2014-05-12

L E J Brouwer Collected Works written by Hans Freudenthal and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-12 with Mathematics categories.

L. E. J. Brouwer Collected Works, Volume 2: Geometry, Analysis, Topology, and Mechanics focuses on the contributions and principles of Brouwer on geometry, topology, analysis, and mechanics, including non-Euclidean spaces, integrals, and surfaces. The publication first ponders on non-Euclidean spaces and integral theorems, lie groups, and plane transition theorem. Discussions focus on remarks on multiple integrals, force field of the non-Euclidean spaces with negative curvature, difference quotients and differential quotients, characterization of the Euclidean and non-Euclidean motion groups, and continuous one-one transformations of surfaces in themselves. The book also takes a look at vector fields on surfaces and new methods in topology, including continuous vector distributions on surfaces and orthogonal trajectories of the orbits of a one parameter plane projective group. The book then ponders on mechanics and topology of surfaces, as well as the motion of a particle on the bottom of a rotating vessel under the influence of gravitational force. The publication is a valuable reference for researchers interested in geometry, topology, analysis, and mechanics.

Introduction To Global Variational Geometry

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Author : Demeter Krupka
language : en
Publisher: Elsevier
Release Date : 2000-04-01

Introduction To Global Variational Geometry written by Demeter Krupka and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-04-01 with Mathematics categories.

This book provides a comprehensive introduction to modern global variational theory on fibred spaces. It is based on differentiation and integration theory of differential forms on smooth manifolds, and on the concepts of global analysis and geometry such as jet prolongations of manifolds, mappings, and Lie groups. The book will be invaluable for researchers and PhD students in differential geometry, global analysis, differential equations on manifolds, and mathematical physics, and for the readers who wish to undertake further rigorous study in this broad interdisciplinary field. Featured topics - Analysis on manifolds - Differential forms on jet spaces - Global variational functionals - Euler-Lagrange mapping - Helmholtz form and the inverse problem - Symmetries and the Noether’s theory of conservation laws - Regularity and the Hamilton theory - Variational sequences - Differential invariants and natural variational principles - First book on the geometric foundations of Lagrange structures - New ideas on global variational functionals - Complete proofs of all theorems - Exact treatment of variational principles in field theory, inc. general relativity - Basic structures and tools: global analysis, smooth manifolds, fibred spaces

Kunihiko Kodaira Volume I

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Author : Kunihiko Kodaira
language : en
Publisher: Princeton University Press
Release Date : 2015-03-08

Kunihiko Kodaira Volume I written by Kunihiko Kodaira and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-08 with Mathematics categories.

Kunihiko Kodaira's influence in mathematics has been fundamental and international, and his efforts have helped lay the foundations of modern complex analysis. These three volumes contain Kodaira's written contributions, published in a large number of journals and books between 1937 and 1971. The volumes cover chronologically the major periods of Kodaira's mathematical concentration and reflect his collaboration with other prominent theoreticians. Thus they begin with early works that discuss the application of Hilbert space methods to differential equations, and the use of elementary solutions to prove regularity theorems for strongly elliptic systems of partial differential equations. Originally published in 1975. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Handbook Of The History Of General Topology

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Author : C.E. Aull
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

Handbook Of The History Of General Topology written by C.E. Aull 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 2013-04-17 with Mathematics categories.

This book is the first one of a work in several volumes, treating the history of the development of topology. The work contains papers which can be classified into 4 main areas. Thus there are contributions dealing with the life and work of individual topologists, with specific schools of topology, with research in topology in various countries, and with the development of topology in different periods. The work is not restricted to topology in the strictest sense but also deals with applications and generalisations in a broad sense. Thus it also treats, e.g., categorical topology, interactions with functional analysis, convergence spaces, and uniform spaces. Written by specialists in the field, it contains a wealth of information which is not available anywhere else.

Annals Of Mathematics

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Author :
language : en
Publisher:
Release Date : 1938

Annals Of Mathematics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1938 with Electronic journals categories.

Founded in 1884, Annals of Mathematics publishes research papers in pure mathematics.