Author : Mathieu Anel
Publisher : Cambridge University Press
Page : 437 pages
File Size : 11,10 MB
Release : 2021-04
Category : Mathematics
ISBN : 110849062X
In this graduate-level book, leading researchers explore various new notions of 'space' in mathematical physics.
Author : Mathieu Anel
Publisher : Cambridge University Press
Page : 438 pages
File Size : 29,62 MB
Release : 2021-04-01
Category : Mathematics
ISBN : 1108848206
After the development of manifolds and algebraic varieties in the previous century, mathematicians and physicists have continued to advance concepts of space. This book and its companion explore various new notions of space, including both formal and conceptual points of view, as presented by leading experts at the New Spaces in Mathematics and Physics workshop held at the Institut Henri Poincaré in 2015. This volume covers a broad range of topics in mathematical physics, including noncommutative geometry, supergeometry, derived symplectic geometry, higher geometric quantization, intuitionistic quantum logic, problems with the continuum description of spacetime, twistor theory, loop quantum gravity, and geometry in string theory. It is addressed primarily to mathematical physicists and mathematicians, but also to historians and philosophers of these disciplines.
Author : Mathieu Anel
Publisher :
Page : 900 pages
File Size : 41,62 MB
Release : 2020-11-30
Category : Mathematics
ISBN : 9781108854368
Author : Tim Maudlin
Publisher :
Page : 374 pages
File Size : 38,44 MB
Release : 2014-02
Category : Mathematics
ISBN : 0198701306
Tim Maudlin sets out a completely new method for describing the geometrical structure of spaces, and thus a better mathematical tool for describing and understanding space-time. He presents a historical review of the development of geometry and topology, and then his original Theory of Linear Structures.
Author : Mathieu Anel
Publisher : Cambridge University Press
Page : 602 pages
File Size : 31,65 MB
Release : 2021-04-01
Category : Mathematics
ISBN : 1108848214
After the development of manifolds and algebraic varieties in the previous century, mathematicians and physicists have continued to advance concepts of space. This book and its companion explore various new notions of space, including both formal and conceptual points of view, as presented by leading experts at the New Spaces in Mathematics and Physics workshop held at the Institut Henri Poincaré in 2015. The chapters in this volume cover a broad range of topics in mathematics, including diffeologies, synthetic differential geometry, microlocal analysis, topos theory, infinity-groupoids, homotopy type theory, category-theoretic methods in geometry, stacks, derived geometry, and noncommutative geometry. It is addressed primarily to mathematicians and mathematical physicists, but also to historians and philosophers of these disciplines.
Author : Max Jammer
Publisher : Courier Corporation
Page : 289 pages
File Size : 39,25 MB
Release : 2013-08-16
Category : Science
ISBN : 0486166473
Historical surveys consider Judeo-Christian notions of space, Newtonian absolute space, perceptions from 18th century to the present, more. Numerous quotations and references. "Admirably compact and swiftly paced style." — Philosophy of Science.
Author : Peter Szekeres
Publisher : Cambridge University Press
Page : 620 pages
File Size : 44,51 MB
Release : 2004-12-16
Category : Mathematics
ISBN : 9780521829601
This textbook, first published in 2004, provides an introduction to the major mathematical structures used in physics today.
Author : N. D. Birrell
Publisher : Cambridge University Press
Page : 362 pages
File Size : 48,30 MB
Release : 1984-02-23
Category : Science
ISBN : 1107392810
This book presents a comprehensive review of the subject of gravitational effects in quantum field theory. Although the treatment is general, special emphasis is given to the Hawking black hole evaporation effect, and to particle creation processes in the early universe. The last decade has witnessed a phenomenal growth in this subject. This is the first attempt to collect and unify the vast literature that has contributed to this development. All the major technical results are presented, and the theory is developed carefully from first principles. Here is everything that students or researchers will need to embark upon calculations involving quantum effects of gravity at the so-called one-loop approximation level.
Author : Mathieu Anel
Publisher : Cambridge University Press
Page : 601 pages
File Size : 35,11 MB
Release : 2021-04
Category : Mathematics
ISBN : 1108490638
In this graduate-level book, leading researchers explore various new notions of 'space' in mathematics.
Author : Sadri Hassani
Publisher : Springer Science & Business Media
Page : 1052 pages
File Size : 20,85 MB
Release : 2002-02-08
Category : Science
ISBN : 9780387985794
For physics students interested in the mathematics they use, and for math students interested in seeing how some of the ideas of their discipline find realization in an applied setting. The presentation strikes a balance between formalism and application, between abstract and concrete. The interconnections among the various topics are clarified both by the use of vector spaces as a central unifying theme, recurring throughout the book, and by putting ideas into their historical context. Enough of the essential formalism is included to make the presentation self-contained.
