Synthetic Differential Geometry

Synthetic Differential Geometry
Author: Anders Kock
Publisher: Cambridge University Press
Total Pages: 245
Release: 2006-06-22
Genre: Mathematics
ISBN: 0521687381

This book, first published in 2006, details how limit processes can be represented algebraically.

Synthetic Geometry of Manifolds

Synthetic Geometry of Manifolds
Author: Anders Kock
Publisher: Cambridge University Press
Total Pages: 317
Release: 2010
Genre: Mathematics
ISBN: 0521116732

This elegant book is sure to become the standard introduction to synthetic differential geometry. It deals with some classical spaces in differential geometry, namely 'prolongation spaces' or neighborhoods of the diagonal. These spaces enable a natural description of some of the basic constructions in local differential geometry and, in fact, form an inviting gateway to differential geometry, and also to some differential-geometric notions that exist in algebraic geometry. The presentation conveys the real strength of this approach to differential geometry. Concepts are clarified, proofs are streamlined, and the focus on infinitesimal spaces motivates the discussion well. Some of the specific differential-geometric theories dealt with are connection theory (notably affine connections), geometric distributions, differential forms, jet bundles, differentiable groupoids, differential operators, Riemannian metrics, and harmonic maps. Ideal for graduate students and researchers wishing to familiarize themselves with the field.

The Routledge Companion to Philosophy of Physics

The Routledge Companion to Philosophy of Physics
Author: Eleanor Knox
Publisher: Routledge
Total Pages: 787
Release: 2021-09-28
Genre: Philosophy
ISBN: 131722714X

The Routledge Companion to Philosophy of Physics is a comprehensive and authoritative guide to the state of the art in the philosophy of physics. It comprisess 54 self-contained chapters written by leading philosophers of physics at both senior and junior levels, making it the most thorough and detailed volume of its type on the market – nearly every major perspective in the field is represented. The Companion’s 54 chapters are organized into 12 parts. The first seven parts cover all of the major physical theories investigated by philosophers of physics today, and the last five explore key themes that unite the study of these theories. I. Newtonian Mechanics II. Special Relativity III. General Relativity IV. Non-Relativistic Quantum Theory V. Quantum Field Theory VI. Quantum Gravity VII. Statistical Mechanics and Thermodynamics VIII. Explanation IX. Intertheoretic Relations X. Symmetries XI. Metaphysics XII. Cosmology The difficulty level of the chapters has been carefully pitched so as to offer both accessible summaries for those new to philosophy of physics and standard reference points for active researchers on the front lines. An introductory chapter by the editors maps out the field, and each part also begins with a short summary that places the individual chapters in context. The volume will be indispensable to any serious student or scholar of philosophy of physics.

French Mathematical Seminars

French Mathematical Seminars
Author: Nancy D. Anderson
Publisher: American Mathematical Soc.
Total Pages: 198
Release: 1989
Genre: Mathematics
ISBN: 9780821801291

Intended for mathematics librarians, the list allows librarians to ascertain if a seminaire has been published, which library has it, and the forms of entry under which it has been cataloged.

Mathematics And Mathematics Education, Procs Of The Third Intl Palestinian Conf

Mathematics And Mathematics Education, Procs Of The Third Intl Palestinian Conf
Author: Raghib Abu-saris
Publisher: World Scientific
Total Pages: 358
Release: 2002-05-24
Genre: Mathematics
ISBN: 9814490342

This volume covers a wide range of areas in mathematics and mathematics education. There is emphasis on applied mathematics, including partial differential equations, dynamical systems, and difference equations. Other areas represented include algebra and number theory, statistics, and issues in mathematics education.The proceedings have been selected for coverage in:• Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)

Categorical Topology

Categorical Topology
Author: Eraldo Giuli
Publisher: Springer Science & Business Media
Total Pages: 294
Release: 1996-06-30
Genre: Mathematics
ISBN: 9780792340492

This volume contains selected papers presented at the International Workshop on Categorical Topology, held at the University of L'Aquila, L'Aquila, Italy from August 31 to September 4, 1994. The collection should be of interest to mathematicians whose work involves category theory.

Differential Geometry - Proceedings Of The Symposium In Honor Of Prof Su Buchin On His 90th Birthday

Differential Geometry - Proceedings Of The Symposium In Honor Of Prof Su Buchin On His 90th Birthday
Author: Chaohao Gu
Publisher: World Scientific
Total Pages: 349
Release: 1993-02-04
Genre:
ISBN: 9814554405

The main topics covered in this volume are global differential geometry and its application to physics. Recent results in many areas are presented, including Yang-Mills fields, harmonic maps, geometry of submanifolds, spectral geometry, complex geometry and soliton aspects of nonlinear PDE arising from geometry and mathematical physics.

Research in Computational Topology 2

Research in Computational Topology 2
Author: Ellen Gasparovic
Publisher: Springer Nature
Total Pages: 304
Release: 2022-05-10
Genre: Mathematics
ISBN: 3030955192

This second volume of Research in Computational Topology is a celebration and promotion of research by women in applied and computational topology, containing the proceedings of the second workshop for Women in Computational Topology (WinCompTop) as well as papers solicited from the broader WinCompTop community. The multidisciplinary and international WinCompTop workshop provided an exciting and unique opportunity for women in diverse locations and research specializations to interact extensively and collectively contribute to new and active research directions in the field. The prestigious senior researchers that signed on to head projects at the workshop are global leaders in the discipline, and two of them were authors on some of the first papers in the field. Some of the featured topics include topological data analysis of power law structure in neural data; a nerve theorem for directional graph covers; topological or homotopical invariants for directed graphs encoding connections among a network of neurons; and the issue of approximation of objects by digital grids, including precise relations between the persistent homology of dual cubical complexes.