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Preface

Preface Anal.Math.Phys. (2011) 1:1–2 DOI 10.1007/s13324-011-0006-1 Alexander Vasil’ev Published online: 12 April 2011 © The Author(s) 2011. This article is published with open access at Springerlink.com An important feature of the development in natural sciences during the last decades is the increasing degree of cross-fertilization between mathematics and physics with greatly enriching both subjects. Analysis and geometry are one of the most relevant parts of mathematics for the study of classical and quantum mechanics and field theo- ries. Besides, new developments in physics have inspired mathematics and led to the birth of new mathematical disciplines. Mathematics is, on the other hand, united by its methodological standards and rigor, and complements physics insights this way. However, there still exists a gap in understanding of physical reasoning and motivation among contemporary analysts and differential geometers. And conversely, practitio- ners in physics sometimes use analysis and geometry as a tool and do not follow in-depth the intrinsic mathematical developments. Efforts within the research community are taken to fill this gap. Such efforts have been continuously supported by the European and US research and funding institutions as well as by several national research councils. The creation of formal, or informal scientific networks is particularly http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Analysis and Mathematical Physics Springer Journals

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Publisher
Springer Journals
Copyright
Copyright © 2011 by The Author(s)
Subject
Mathematics; Analysis; Mathematical Methods in Physics
ISSN
1664-2368
eISSN
1664-235X
DOI
10.1007/s13324-011-0006-1
Publisher site
See Article on Publisher Site

Abstract

Anal.Math.Phys. (2011) 1:1–2 DOI 10.1007/s13324-011-0006-1 Alexander Vasil’ev Published online: 12 April 2011 © The Author(s) 2011. This article is published with open access at Springerlink.com An important feature of the development in natural sciences during the last decades is the increasing degree of cross-fertilization between mathematics and physics with greatly enriching both subjects. Analysis and geometry are one of the most relevant parts of mathematics for the study of classical and quantum mechanics and field theo- ries. Besides, new developments in physics have inspired mathematics and led to the birth of new mathematical disciplines. Mathematics is, on the other hand, united by its methodological standards and rigor, and complements physics insights this way. However, there still exists a gap in understanding of physical reasoning and motivation among contemporary analysts and differential geometers. And conversely, practitio- ners in physics sometimes use analysis and geometry as a tool and do not follow in-depth the intrinsic mathematical developments. Efforts within the research community are taken to fill this gap. Such efforts have been continuously supported by the European and US research and funding institutions as well as by several national research councils. The creation of formal, or informal scientific networks is particularly

Journal

Analysis and Mathematical PhysicsSpringer Journals

Published: Apr 12, 2011

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