Torres del Castillo, G. F. (Gerardo Francisco) 1956
Overview
Works:  5 works in 47 publications in 2 languages and 1,122 library holdings 

Genres:  Textbooks 
Roles:  Author 
Publication Timeline
.
Most widely held works by
G. F Torres del Castillo
Differentiable manifolds : a theoretical physics approach by
G. F Torres del Castillo(
)
21 editions published between 2011 and 2012 in 3 languages and held by 463 WorldCat member libraries worldwide
Annotation
21 editions published between 2011 and 2012 in 3 languages and held by 463 WorldCat member libraries worldwide
Annotation
Spinors in fourdimensional spaces by
G. F Torres del Castillo(
)
15 editions published in 2010 in English and held by 426 WorldCat member libraries worldwide
Without using the customary Clifford algebras frequently studied in connection with the representations of orthogonal groups, this book gives an elementary introduction to the twocomponent spinor formalism for fourdimensional spaces with any signature. Some of the useful applications of fourdimensional spinors, such as YangMills theory, are derived in detail using illustrative examples. Key topics and features: " Uniform treatment of the spinor formalism for fourdimensional spaces of any signature, not only the usual signature (+ + +  ) employed in relativity " Examples taken from Riemannian geometry and special or general relativity are discussed in detail, emphasizing the usefulness of the twocomponent spinor formalism " Exercises in each chapter " The relationship of Clifford algebras and Dirac fourcomponent spinors is established " Applications of the twocomponent formalism, focusing mainly on general relativity, are presented in the context of actual computations Spinors in FourDimensional Spaces is aimed at graduate students and researchers in mathematical and theoretical physics interested in the applications of the twocomponent spinor formalism in any fourdimensional vector space or Riemannian manifold with a definite or indefinite metric tensor. This systematic and selfcontained book is suitable as a seminar text, a reference book, and a selfstudy guide. Reviews from the author's previous book, 3D Spinors, SpinWeighted Functions and their Applications: In summary ... the book gathers much of what can be done with 3D spinors in an easytoread, selfcontained form designed for applications that will supplement many available spinor treatments. The book ... should be appealing to graduate students and researchers in relativity and mathematical physics.Mathematical Reviews The present book provides an easytoread and unconventional presentation of the spinor formalism for threedimensional spaces with a definite or indefinite metric ... Following a nice and descriptive introduction ... the final chapter contains some applications of the formalism to general relativity.Monatshefte für Mathematik
15 editions published in 2010 in English and held by 426 WorldCat member libraries worldwide
Without using the customary Clifford algebras frequently studied in connection with the representations of orthogonal groups, this book gives an elementary introduction to the twocomponent spinor formalism for fourdimensional spaces with any signature. Some of the useful applications of fourdimensional spinors, such as YangMills theory, are derived in detail using illustrative examples. Key topics and features: " Uniform treatment of the spinor formalism for fourdimensional spaces of any signature, not only the usual signature (+ + +  ) employed in relativity " Examples taken from Riemannian geometry and special or general relativity are discussed in detail, emphasizing the usefulness of the twocomponent spinor formalism " Exercises in each chapter " The relationship of Clifford algebras and Dirac fourcomponent spinors is established " Applications of the twocomponent formalism, focusing mainly on general relativity, are presented in the context of actual computations Spinors in FourDimensional Spaces is aimed at graduate students and researchers in mathematical and theoretical physics interested in the applications of the twocomponent spinor formalism in any fourdimensional vector space or Riemannian manifold with a definite or indefinite metric tensor. This systematic and selfcontained book is suitable as a seminar text, a reference book, and a selfstudy guide. Reviews from the author's previous book, 3D Spinors, SpinWeighted Functions and their Applications: In summary ... the book gathers much of what can be done with 3D spinors in an easytoread, selfcontained form designed for applications that will supplement many available spinor treatments. The book ... should be appealing to graduate students and researchers in relativity and mathematical physics.Mathematical Reviews The present book provides an easytoread and unconventional presentation of the spinor formalism for threedimensional spaces with a definite or indefinite metric ... Following a nice and descriptive introduction ... the final chapter contains some applications of the formalism to general relativity.Monatshefte für Mathematik
3D spinors, spinweighted functions and their applications by
G. F Torres del Castillo(
Book
)
9 editions published in 2003 in English and held by 226 WorldCat member libraries worldwide
"This systematic and selfcontainted treatment of the theory of threedimensional spinors and their applications fills an important gap in the literature. Without using the customary Clifford algebras frequently studied in connection with the representations of orthogonal groups, spinors are developed in this work for threedimensional spaces in a language analogous to the spinor formalism used in relativistic spacetime." "This work will serve graduate students and researchers in mathematics and mathematical and theoretical physics; it is suitable as a course or seminar text, as a reference text, and may also be used for selfstudy."Jacket
9 editions published in 2003 in English and held by 226 WorldCat member libraries worldwide
"This systematic and selfcontainted treatment of the theory of threedimensional spinors and their applications fills an important gap in the literature. Without using the customary Clifford algebras frequently studied in connection with the representations of orthogonal groups, spinors are developed in this work for threedimensional spaces in a language analogous to the spinor formalism used in relativistic spacetime." "This work will serve graduate students and researchers in mathematics and mathematical and theoretical physics; it is suitable as a course or seminar text, as a reference text, and may also be used for selfstudy."Jacket
Special functions and perturbations of black holes by
University of Minnesota(
Book
)
1 edition published in 2000 in English and held by 6 WorldCat member libraries worldwide
1 edition published in 2000 in English and held by 6 WorldCat member libraries worldwide
Differentiable Manifolds [recurso electrónico] A Theoretical Physics Approach by
G. F Torres del Castillo(
)
1 edition published in 2012 in English and held by 1 WorldCat member library worldwide
This textbook gives a concise introduction to the theory of differentiable manifolds, focusing on their applications to differential equations, differential geometry, and Hamiltonian mechanics.The works first three chapters introduce the basic concepts of the theory, such as differentiable maps, tangent vectors, vector and tensor fields, differential forms, local oneparameter groups of diffeomorphisms, and Lie derivatives. These tools are subsequently employed in the study of differential equations (Chapter 4), connections (Chapter 5), Riemannian manifolds (Chapter 6), Lie groups (Chapter 7), and Hamiltonian mechanics (Chapter 8). Throughout, the book contains examples, worked out in detail, as well as exercises intended to show how the formalism is applied to actual computations and to emphasize the connections among various areas of mathematics.Differentiable Manifolds is addressed to advanced undergraduate or beginning graduate students in mathematics or physics. Prerequisites include multivariable calculus, linear algebra, differential equations, and (for the last chapter) a basic knowledge of analytical mechanics
1 edition published in 2012 in English and held by 1 WorldCat member library worldwide
This textbook gives a concise introduction to the theory of differentiable manifolds, focusing on their applications to differential equations, differential geometry, and Hamiltonian mechanics.The works first three chapters introduce the basic concepts of the theory, such as differentiable maps, tangent vectors, vector and tensor fields, differential forms, local oneparameter groups of diffeomorphisms, and Lie derivatives. These tools are subsequently employed in the study of differential equations (Chapter 4), connections (Chapter 5), Riemannian manifolds (Chapter 6), Lie groups (Chapter 7), and Hamiltonian mechanics (Chapter 8). Throughout, the book contains examples, worked out in detail, as well as exercises intended to show how the formalism is applied to actual computations and to emphasize the connections among various areas of mathematics.Differentiable Manifolds is addressed to advanced undergraduate or beginning graduate students in mathematics or physics. Prerequisites include multivariable calculus, linear algebra, differential equations, and (for the last chapter) a basic knowledge of analytical mechanics
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Alternative Names
Castillo, G.F. Torres del
Castillo, G. F. Torres del 1956
Castillo, G. F. Torres del (Gerardo Francisco Torres del), 1956
Castillo, Gerardo F. Torres del 1956
Castillo, Gerardo Francisco Torres del
Castillo, Gerardo Francisco Torres del 1956
Del Castillo, G. F. Torres.
Del Castillo, G. F. Torres 1956
Del Castillo, G. F. Torres (Gerardo Francisco Torres), 1956
Del Castillo, Gerardo Francisco Torres
Gerardo Zaragoza escultor español
Gerardo Zaragoza Spaans beeldhouwer (19021985)
Gerardo Zaragoza Spanish sculptor (19021985)
Torres del Castillo, G. F. 1956
Torres del Castillo, Gerardo F.
Torres del Castillo, Gerardo Francisco.
Torres del Castillo, Gerardo Francisco 1956
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