Author: Róbert Hermann
Publisher: Math Science Press
ISBN: 9780915692095
Category : Mathematics
Languages : en
Pages : 515
Book Description
Gauge Fields and Cartan-Ehresmann Connections, Part A
Author: Róbert Hermann
Publisher: Math Science Press
ISBN: 9780915692095
Category : Mathematics
Languages : en
Pages : 515
Book Description
Publisher: Math Science Press
ISBN: 9780915692095
Category : Mathematics
Languages : en
Pages : 515
Book Description
Gauge Fields and Cartan-Ehresmann Connections
Author: Robert Hermann
Publisher:
ISBN:
Category :
Languages : en
Pages : 515
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 515
Book Description
Gauge Field Theory in Natural Geometric Language
Author: Daniel Canarutto
Publisher: Oxford University Press
ISBN: 0192606212
Category : Mathematics
Languages : en
Pages : 362
Book Description
Gauge Field theory in Natural Geometric Language addresses the need to clarify basic mathematical concepts at the crossroad between gravitation and quantum physics. Selected mathematical and theoretical topics are exposed within a brief, integrated approach that exploits standard and non-standard notions, as well as recent advances, in a natural geometric language in which the role of structure groups can be regarded as secondary even in the treatment of the gauge fields themselves. In proposing an original bridge between physics and mathematics, this text will appeal not only to mathematicians who wish to understand some of the basic ideas involved in quantum particle physics, but also to physicists who are not satisfied with the usual mathematical presentations of their field.
Publisher: Oxford University Press
ISBN: 0192606212
Category : Mathematics
Languages : en
Pages : 362
Book Description
Gauge Field theory in Natural Geometric Language addresses the need to clarify basic mathematical concepts at the crossroad between gravitation and quantum physics. Selected mathematical and theoretical topics are exposed within a brief, integrated approach that exploits standard and non-standard notions, as well as recent advances, in a natural geometric language in which the role of structure groups can be regarded as secondary even in the treatment of the gauge fields themselves. In proposing an original bridge between physics and mathematics, this text will appeal not only to mathematicians who wish to understand some of the basic ideas involved in quantum particle physics, but also to physicists who are not satisfied with the usual mathematical presentations of their field.
Interdisciplinary Mathematics: Gauge fields and Cartan-Ehresmann connections, pt.A
Author: Robert Hermann
Publisher:
ISBN:
Category : Mathematical physics
Languages : en
Pages : 534
Book Description
Publisher:
ISBN:
Category : Mathematical physics
Languages : en
Pages : 534
Book Description
Conformal Groups in Geometry and Spin Structures
Author: Pierre Anglès
Publisher: Springer Science & Business Media
ISBN: 0817635122
Category : Mathematics
Languages : en
Pages : 307
Book Description
This book provides a self-contained overview of the role of conformal groups in geometry and mathematical physics. It features a careful development of the material, from the basics of Clifford algebras to more advanced topics. Each chapter covers a specific aspect of conformal groups and conformal spin geometry. All major concepts are introduced and followed by detailed descriptions and definitions, and a comprehensive bibliography and index round out the work. Rich in exercises that are accompanied by full proofs and many hints, the book will be ideal as a course text or self-study volume for senior undergraduates and graduate students.
Publisher: Springer Science & Business Media
ISBN: 0817635122
Category : Mathematics
Languages : en
Pages : 307
Book Description
This book provides a self-contained overview of the role of conformal groups in geometry and mathematical physics. It features a careful development of the material, from the basics of Clifford algebras to more advanced topics. Each chapter covers a specific aspect of conformal groups and conformal spin geometry. All major concepts are introduced and followed by detailed descriptions and definitions, and a comprehensive bibliography and index round out the work. Rich in exercises that are accompanied by full proofs and many hints, the book will be ideal as a course text or self-study volume for senior undergraduates and graduate students.
Involution
Author: Werner M. Seiler
Publisher: Springer Science & Business Media
ISBN: 3642012876
Category : Mathematics
Languages : en
Pages : 663
Book Description
The book provides a self-contained account of the formal theory of general, i.e. also under- and overdetermined, systems of differential equations which in its central notion of involution combines geometric, algebraic, homological and combinatorial ideas.
Publisher: Springer Science & Business Media
ISBN: 3642012876
Category : Mathematics
Languages : en
Pages : 663
Book Description
The book provides a self-contained account of the formal theory of general, i.e. also under- and overdetermined, systems of differential equations which in its central notion of involution combines geometric, algebraic, homological and combinatorial ideas.
Quantum Theory and Gravitation
Author: A Marlow
Publisher: Elsevier
ISBN: 0323157971
Category : Science
Languages : en
Pages : 280
Book Description
Quantum Theory and Gravitation provides information pertinent to quantum theory and general relativity. This book defines the problem areas and presents specific solutions to problems in relativity or quantum theory. Organized into 17 chapters, this book starts with an overview of the concept of pregeometry wherein the geometry of space and space time are based. This text then explores the restriction to real amplitude in photon polarization experiment, which appears in the fact that the elliptical polarizations are not included as possibilities. Other chapters consider the primary role that space-time models play in the expression of physical theories. This book discusses as well the basic structure of an axiomatic model for a fully relativistic quantum theory, which consists of four axioms imposed on an operational quantum logical universe of discourse. The final chapter describes the relationships between certain areas of mathematics and the developments in theoretical physics. Physicists, mathematicians, and researchers will find this book useful.
Publisher: Elsevier
ISBN: 0323157971
Category : Science
Languages : en
Pages : 280
Book Description
Quantum Theory and Gravitation provides information pertinent to quantum theory and general relativity. This book defines the problem areas and presents specific solutions to problems in relativity or quantum theory. Organized into 17 chapters, this book starts with an overview of the concept of pregeometry wherein the geometry of space and space time are based. This text then explores the restriction to real amplitude in photon polarization experiment, which appears in the fact that the elliptical polarizations are not included as possibilities. Other chapters consider the primary role that space-time models play in the expression of physical theories. This book discusses as well the basic structure of an axiomatic model for a fully relativistic quantum theory, which consists of four axioms imposed on an operational quantum logical universe of discourse. The final chapter describes the relationships between certain areas of mathematics and the developments in theoretical physics. Physicists, mathematicians, and researchers will find this book useful.
Cartanian Geometry, Nonlinear Waves, and Control Theory
Author: Robert Hermann
Publisher:
ISBN: 9780915692293
Category : Mathematics
Languages : en
Pages : 610
Book Description
Publisher:
ISBN: 9780915692293
Category : Mathematics
Languages : en
Pages : 610
Book Description
Lie-Theoretic Ode Numerical Analysis, Mechanics and Differential Systems
Author: Robert Hermann
Publisher: Math-Sci Press
ISBN: 9780915692453
Category : Mathematics
Languages : en
Pages : 286
Book Description
Publisher: Math-Sci Press
ISBN: 9780915692453
Category : Mathematics
Languages : en
Pages : 286
Book Description
Geometric Structures in Nonlinear Physics
Author: Robert Hermann
Publisher: Math Science Press
ISBN: 9780915692422
Category : Mathematics
Languages : en
Pages : 363
Book Description
VOLUME 26 of INTERDISCIPLINARY MATHEMATICS, series expounding mathematical methodology in Physics & Engineering. TOPICS: Differential & Riemannian Geometry; Theories of Vorticity Dynamics, Einstein-Hilbert Gravitation, Colobeau-Rosinger Generalized Function Algebra, Deformations & Quantum Mechanics of Particles & Fields. Ultimate goal is to develop mathematical framework for reconciling Quantum Mechanics & concept of Point Particle. New ideas for researchers & students. Order: Math Sci Press, 53 Jordan Road, Brookline, MA 02146. (617) 738-0307.
Publisher: Math Science Press
ISBN: 9780915692422
Category : Mathematics
Languages : en
Pages : 363
Book Description
VOLUME 26 of INTERDISCIPLINARY MATHEMATICS, series expounding mathematical methodology in Physics & Engineering. TOPICS: Differential & Riemannian Geometry; Theories of Vorticity Dynamics, Einstein-Hilbert Gravitation, Colobeau-Rosinger Generalized Function Algebra, Deformations & Quantum Mechanics of Particles & Fields. Ultimate goal is to develop mathematical framework for reconciling Quantum Mechanics & concept of Point Particle. New ideas for researchers & students. Order: Math Sci Press, 53 Jordan Road, Brookline, MA 02146. (617) 738-0307.