New Spaces in Physics: Volume 2
New Spaces in Physics: Volume 2

Author: Mathieu Anel

Publisher: Cambridge University Press

Published: 2021-04-01

Total Pages: 438

ISBN-13: 1108848206

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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.

New Spaces in Mathematics: Volume 1
New Spaces in Mathematics: Volume 1

Author: Mathieu Anel

Publisher: Cambridge University Press

Published: 2021-04-01

Total Pages: 602

ISBN-13: 1108848214

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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.

New Foundations for Physical Geometry
New Foundations for Physical Geometry

Author: Tim Maudlin

Publisher:

Published: 2014-02

Total Pages: 374

ISBN-13: 0198701306

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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.

Concepts of Space
Concepts of Space

Author: Max Jammer

Publisher: Courier Corporation

Published: 2013-08-16

Total Pages: 289

ISBN-13: 0486166473

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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.

New Spaces in Physics
New Spaces in Physics

Author: Mathieu Anel

Publisher: Cambridge University Press

Published: 2021-04

Total Pages: 437

ISBN-13: 110849062X

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In this graduate-level book, leading researchers explore various new notions of 'space' in mathematical physics.

A Course in Modern Mathematical Physics
A Course in Modern Mathematical Physics

Author: Peter Szekeres

Publisher: Cambridge University Press

Published: 2004-12-16

Total Pages: 620

ISBN-13: 9780521829601

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This textbook, first published in 2004, provides an introduction to the major mathematical structures used in physics today.

Mathematics of Classical and Quantum Physics
Mathematics of Classical and Quantum Physics

Author: Frederick W. Byron

Publisher: Courier Corporation

Published: 2012-04-26

Total Pages: 674

ISBN-13: 0486135063

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Graduate-level text offers unified treatment of mathematics applicable to many branches of physics. Theory of vector spaces, analytic function theory, theory of integral equations, group theory, and more. Many problems. Bibliography.

New Spaces in Mathematics
New Spaces in Mathematics

Author: Mathieu Anel

Publisher: Cambridge University Press

Published: 2021-04

Total Pages: 601

ISBN-13: 1108490638

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In this graduate-level book, leading researchers explore various new notions of 'space' in mathematics.

Quantum Fields in Curved Space
Quantum Fields in Curved Space

Author: N. D. Birrell

Publisher: Cambridge University Press

Published: 1984-02-23

Total Pages: 362

ISBN-13: 1107392810

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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.