Atiyah, M.  | Cambridge

70,950원  | 20040626  | 9780521395540

These notes arise from lectures presented in Florence under the auspices of the Accadamia dei Lincee and deal with an area that lies at the crossroads of mathematics and physics. The material presented here rests primarily on the pioneering work of Vaughan Jones and Edward Witten relating polynomial invariants of knots to a topological quantum field theory in 2+1 dimensions. Professor Atiyah here presents an introduction to Witten's ideas from the mathematical point of view. The book will be essential reading for all geometers and gauge theorists as an exposition of new and interesting ideas in a rapidly developing area.

Frankel, Theodore  | Cambridge University Press

55,000원  | 20111226  | 9781107602601

This book provides a working knowledge of those parts of exterior differential forms, differential geometry, algebraic and differential topology, Lie groups, vector bundles and Chern forms that are essential for a deeper understanding of both classical and modern physics and engineering. Included are discussions of analytical and fluid dynamics, electromagnetism (in flat and curved space), thermodynamics, the Dirac operator and spinors, and gauge fields, including Yang?Mills, the Aharonov?Bohm effect, Berry phase and instanton winding numbers, quarks and quark model for mesons. Before discussing abstract notions of differential geometry, geometric intuition is developed through a rather extensive introduction to the study of surfaces in ordinary space. The book is ideal for graduate and advanced undergraduate students of physics, engineering or mathematics as a course text or for self study. This third edition includes an overview of Cartan's exterior differential forms, which previews many of the geometric concepts developed in the text.

Frankel, Theodore  | Cambridge

0원  | 19990401  | 9780521387538

 | CRC Pr I Llc

320,560원  | 20170727  | 9781138430389

Based on the proceedings of the Special Session on Geometry and Physics held at the University of Aarhus, Denmark and on articles from the Summer school held at Odense University, Denmark, this title offers various contributions on the topics that involve physics, geometry, and topology. It is written by more than 50 international experts.

Frankel, Theodore  | Cambridge

35,000원  | 20210101  | 9780521539272

This book provides a working knowledge of those parts of exterior differential forms, differential geometry, algebraic and differential topology, Lie groups, vector bundles and Chern forms that are essential for a deeper understanding of both classical and modern physics and engineering. Included are discussions of analytical and fluid dynamics, electromagnetism (in flat and curved space), thermodynamics, the deformation tensors of elasticity, soap films, special and general relativity, the Dirac operator and spinors, and gauge fields, including Yang-Mills, the Aharonov-Bohm effect, Berry phase, and instanton winding numbers, quarks, and quark model for mesons. Before discussing abstract notions of differential geometry, geometric intuition is developed through a rather extensive introduction to the study of surfaces in ordinary space; consequently, the book should be of interest also to mathematics students. Ideal for graduate and advanced undergraduate students of physics, engineering and mathematics as a course text or for self study.

Nakahara, Mikio  | Taylor & Francis

181,560원  | 20031001  | 9780750306065

Offers an introduction to the ideas and techniques of differential geometry and topology. This work starts with a brief survey of quantum field theory, gauge theory, general relativity, vector spaces, and topology. It also demonstrates elaborate concepts of topology and geometry, including fiber bundles, characteristic classes, and index theorems.

Frankel, Theodore  | Cambridge

0원  | 20031124  | 9780521833301

Theodore Frankel explains those parts of exterior differential forms, differential geometry, algebraic and differential topology, Lie groups, vector bundles and Chern forms essential to a better understanding of classical and modern physics and engineering. Key highlights of his new edition are the inclusion of three new appendices that cover symmetries, quarks, and meson masses; representations and hyperelastic bodies; and orbits and Morse-Bott Theory in compact Lie groups. Geometric intuition is developed through a rather extensive introduction to the study of surfaces in ordinary space. First Edition Hb (1997): 0-521-38334-X First Edition Pb (1999): 0-521-38753-1

Eschrig, Helmut  | Textstream

125,080원  | 20120924  | 9783642146992

A concise but self-contained introduction of the central concepts of modern topology and differential geometry on a mathematical level is given specifically with applications in physics in mind. All basic concepts are systematically provided including sketches of the proofs of most statements.

Gilmore, Robert  | Cambridge

128,380원  | 20210101  | 9780521884006

Describing many of the most important aspects of Lie group theory, this book presents the subject in a 'hands on' way. Rather than concentrating on theorems and proofs, the book shows the applications of the material to physical sciences and applied mathematics. Many examples of Lie groups and Lie algebras are given throughout the text. The relation between Lie group theory and algorithms for solving ordinary differential equations is presented and shown to be analogous to the relation between Galois groups and algorithms for solving polynomial equations. Other chapters are devoted to differential geometry, relativity, electrodynamics, and the hydrogen atom. Problems are given at the end of each chapter so readers can monitor their understanding of the materials. This is a fascinating introduction to Lie groups for graduate and undergraduate students in physics, mathematics and electrical engineering, as well as researchers in these fields.

Dito Giuseppe  | World Scientific Pub Co Inc

301,790원  | 20130504  | 9789814425001

Noncommutative differential geometry is a novel approach to geometry, aimed in part at applications in physics. It was founded in the early eighties by the 1982 Fields Medalist Alain Connes on the basis of his fundamental works in operator algebras. This book deals with these topics.

 | Springer Nature

93,800원  | 20180831  | 9783319879420

This comprehensive treatment of multivariable calculus focuses on the numerous tools that MATLAB (R) brings to the subject, as it presents introductions to geometry, mathematical physics, and kinematics.

Springer  | Springer Verlag

132,900원  | 20171218  | 9783319650692

This comprehensive treatment of multivariable calculus focuses on the numerous tools that MATLAB (R) brings to the subject, as it presents introductions to geometry, mathematical physics, and kinematics.

Bick, Eike (EDT)/ Steffen, Frank Daniel (EDT)  | Springer

0원  | 20210101  | 9783540231257

Application of the concepts and methods of topology and geometry have led to a deeper understanding of many crucial aspects in condensed matter physics, cosmology, gravity and particle physics. This book can be considered an advanced textbook on modern applications and recent developments in these fields of physical research. Written as a set of largely self-contained extensive lectures, the book gives an introduction to topological concepts in gauge theories, BRST quantization, chiral anomalies, sypersymmetric solitons and noncommutative geometry. It will be of benefit to postgraduate students, educating newcomers to the field and lecturers looking for advanced material.

Buchstaber, V. M. (EDT)/ Krichever, I. M. (EDT)  | Amer Mathematical Society

179,510원  | 20210101  | 9780821846742

Contains a selection of papers based on presentations given in 2006-2007 at the S P Novikov Seminar at the Steklov Mathematical Institute in Moscow. This book addresses topics in geometry, topology, and mathematical physics. It is suitable for graduate students and researchers interested in the corresponding areas of mathematics and physics.

Van Suijlekom, Walter D.  | Springer

109,440원  | 20170801  | 9789401791618

It is intended for graduate students in mathematics/theoretical physics who are new to the field of noncommutative geometry, as well as for researchers in mathematics/theoretical physics with an interest in the physical applications of noncommutative geometry.