Aldrovandi Ruben's Books

Teleparallel Gravity

An Introduction

By: Ruben Aldrovandi,Jose G Pereira

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Teleparallel Gravity

An Introduction

By: Ruben Aldrovandi,Jose G Pereira

Teleparallel Gravity (TG) is an alternative theory for gravitation, which is equivalent to General Relativity (GR). However, it is conceptually different. For example in GR geometry replaces the concept of force, and the trajectories are determined by geodesics. TG attributes gravitation to torsion, which accounts for gravitation by acting as a force. TG has already solved some old problems of gravitation (like the energy-momentum density of the gravitational field). The interest in TG has grown in the last few years. The book here proposed will be the first one dedicated exclusively to TG, and will include the foundations of the theory, as well as applications to specific problems to illustrate how the theory works.

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216

Publisher

Springer Science & Business Media

Published Date

ISBN 10

9400751435

ISBN 13

9789400751439

Special Matrices Of Mathematical Physics: Stochastic, Circulant And Bell Matrices

By: Ruben Aldrovandi

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Special Matrices Of Mathematical Physics: Stochastic, Circulant And Bell Matrices

By: Ruben Aldrovandi

This book expounds three special kinds of matrices that are of physical interest, centering on physical examples. Stochastic matrices describe dynamical systems of many different types, involving (or not) phenomena like transience, dissipation, ergodicity, nonequilibrium, and hypersensitivity to initial conditions. The main characteristic is growth by agglomeration, as in glass formation. Circulants are the building blocks of elementary Fourier analysis and provide a natural gateway to quantum mechanics and noncommutative geometry. Bell polynomials offer closed expressions for many formulas concerning Lie algebra invariants, differential geometry and real gases, and their matrices are instrumental in the study of chaotic mappings.

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340

Publisher

World Scientific

Published Date

ISBN 10

9814490466

ISBN 13

9789814490467

An Introduction to Geometrical Physics

By: Ruben Aldrovandi,J. G. Pereira

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An Introduction to Geometrical Physics

By: Ruben Aldrovandi,J. G. Pereira

This book stresses the unifying power of the geometrical framework in bringing together concepts from the different areas of physics. Common underpinnings of optics, elasticity, gravitation, relativistic fields, particle mechanics and other subjects are underlined. It attempts to extricate the notion of space currently in the physical literature from the metric connotation.The book's goal is to present mathematical ideas associated with geometrical physics in a rather introductory language. Included are many examples from elementary physics and also, for those wishing to reach a higher level of understanding, a more advanced treatment of the mathematical topics. It is aimed as an elementary text, more so than most others on the market, and is intended for first year graduate students.

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Page Count

728

Publisher

World Scientific

Published Date

ISBN 10

9810222327

ISBN 13

9789810222321

An Introduction to Geometrical Physics

By: Aldrovandi Ruben,Pereira Jose Geraldo

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An Introduction to Geometrical Physics

By: Aldrovandi Ruben,Pereira Jose Geraldo

This book focuses on the unifying power of the geometrical language in bringing together concepts from many different areas of physics, ranging from classical physics to the theories describing the four fundamental interactions of Nature -- gravitational, electromagnetic, strong nuclear, and weak nuclear. The book provides in a single volume a thorough introduction to topology and differential geometry, as well as many applications to both mathematical and physical problems. It is aimed as an elementary text and is intended for first year graduate students. In addition to the traditional contents of books on special and general relativities, this book discusses also some recent advances such as de Sitter invariant special relativity, teleparallel gravity and their implications in cosmology for those wishing to reach a higher level of understanding.

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844

Publisher

World Scientific

Published Date

ISBN 10

9813146834

ISBN 13

9789813146839

A Gentle Introduction To Knots, Links And Braids

By: Ruben Aldrovandi,Roldao Da Rocha Jr

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A Gentle Introduction To Knots, Links And Braids

By: Ruben Aldrovandi,Roldao Da Rocha Jr

The interface between Physics and Mathematics has been increasingly spotlighted by the discovery of algebraic, geometric, and topological properties in physical phenomena. A profound example is the relation of noncommutative geometry, arising from algebras in mathematics, to the so-called quantum groups in the physical viewpoint. Two apparently unrelated puzzles — the solubility of some lattice models in statistical mechanics and the integrability of differential equations for special problems — are encoded in a common algebraic condition, the Yang-Baxter equation. This backdrop motivates the subject of this book, which reveals Knot Theory as a highly intuitive formalism that is intimately connected to Quantum Field Theory and serves as a basis to String Theory.This book presents a didactic approach to knots, braids, links, and polynomial invariants which are powerful and developing techniques that rise up to the challenges in String Theory, Quantum Field Theory, and Statistical Physics. It introduces readers to Knot Theory and its applications through formal and practical (computational) methods, with clarity, completeness, and minimal demand of requisite knowledge on the subject. As a result, advanced undergraduates in Physics, Mathematics, or Engineering, will find this book an excellent and self-contained guide to the algebraic, geometric, and topological tools for advanced studies in theoretical physics and mathematics.

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Page Count

214

Publisher

World Scientific

Published Date

ISBN 10

9811248508

ISBN 13

9789811248504

A Gentle Introduction to Knots, Links and Braids

By: Ruben Aldrovandi,Roldão Da Rocha Jr

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A Gentle Introduction to Knots, Links and Braids

By: Ruben Aldrovandi,Roldão Da Rocha Jr

The interface between Physics and Mathematics has been increasingly spotlighted by the discovery of algebraic, geometric, and topological properties in physical phenomena. A profound example is the relation of noncommutative geometry, arising from algebras in mathematics, to the so-called quantum groups in the physical viewpoint. Two apparently unrelated puzzles - the solubility of some lattice models in statistical mechanics and the integrability of differential equations for special problems - are encoded in a common algebraic condition, the Yang-Baxter equation. This backdrop motivates the subject of this book, which reveals Knot Theory as a highly intuitive formalism that is intimately connected to Quantum Field Theory and serves as a basis to String Theory. This book presents a didactic approach to knots, braids, links, and polynomial invariants which are powerful and developing techniques that rise up to the challenges in String Theory, Quantum Field Theory, and Statistical Physics. It introduces readers to Knot Theory and its applications through formal and practical (computational) methods, with clarity, completeness, and minimal demand of requisite knowledge on the subject. As a result, advanced undergraduates in Physics, Mathematics, or Engineering, will find this book an excellent and self-contained guide to the algebraic, geometric, and topological tools for advanced studies in theoretical physics and mathematics.

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Page Count

216

Publisher

World Scientific Publishing Company

Published Date

ISBN 10

9811249326

ISBN 13

9789811249327

Teleparallel Gravity

An Introduction

By: Ruben Aldrovandi,Jose G Pereira

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Teleparallel Gravity

An Introduction

By: Ruben Aldrovandi,Jose G Pereira

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Page Count

216

Publisher

Springer Science & Business Media

Published Date

ISBN 10

9400751435

ISBN 13

9789400751439

Special Matrices of Mathematical Physics

Stochastic, Circulant, and Bell Matrices

By: Ruben Aldrovandi

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Special Matrices of Mathematical Physics

Stochastic, Circulant, and Bell Matrices

By: Ruben Aldrovandi

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Page Count

340

Publisher

World Scientific

Published Date

ISBN 10

9810247087

ISBN 13

9789810247089

An Introduction to Geometrical Physics

By: Aldrovandi Ruben,Pereira Jos?? Geraldo

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An Introduction to Geometrical Physics

By: Aldrovandi Ruben,Pereira Jos?? Geraldo

This book focuses on the unifying power of the geometrical language in bringing together concepts from many different areas of physics, ranging from classical physics to the theories describing the four fundamental interactions of Nature — gravitational, electromagnetic, strong nuclear, and weak nuclear. The book provides in a single volume a thorough introduction to topology and differential geometry, as well as many applications to both mathematical and physical problems. It is aimed as an elementary text and is intended for first year graduate students. In addition to the traditional contents of books on special and general relativities, this book discusses also some recent advances such as de Sitter invariant special relativity, teleparallel gravity and their implications in cosmology for those wishing to reach a higher level of understanding."--Publisher's website.

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Page Count

844

Published Date

ISBN 10

9813146826

ISBN 13

9789813146822

Book's by Aldrovandi Ruben

Teleparallel Gravity

Teleparallel Gravity

Special Matrices Of Mathematical Physics: Stochastic, Circulant And Bell Matrices

Special Matrices Of Mathematical Physics: Stochastic, Circulant And Bell Matrices

An Introduction to Geometrical Physics

An Introduction to Geometrical Physics

An Introduction to Geometrical Physics

An Introduction to Geometrical Physics

A Gentle Introduction To Knots, Links And Braids

A Gentle Introduction To Knots, Links And Braids

A Gentle Introduction to Knots, Links and Braids

A Gentle Introduction to Knots, Links and Braids

Teleparallel Gravity

Teleparallel Gravity

Special Matrices of Mathematical Physics

Special Matrices of Mathematical Physics

An Introduction to Geometrical Physics

An Introduction to Geometrical Physics

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