<p>This book on the theory of three-dimensional spinors and their applications fills an important gap in the literature. It gives an introductory treatment of spinors. </p> <p>From the reviews:</p> <p>"Gathers much of what can be done with 3-D spinors in an easy-to-read, self-contained 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</p>

3-D Spinors, Spin-Weighted Functions and their Applications (Progress in Mathematical Physics, 32)

Science & Math

Torres del Castillo, Gerardo F.

Astronomy & Space Science

Birkhauser

Without using the customary Clifford algebras frequently studied in connection with the representations of orthogonal groups, this book gives an elementary introduction to the two-component spinor formalism for four-dimensional spaces with any signature. Some of the useful applications of four-dimensional spinors, such as Yang–Mills theory, are derived in detail using illustrative examples. Spinors in Four-Dimensional Spaces is aimed at graduate students and researchers in mathematical and theoretical physics interested in the applications of the two-component spinor formalism in any four-dimensional vector space or Riemannian manifold with a definite or indefinite metric tensor. This systematic and self-contained book is suitable as a seminar text, a reference book, and a self-study guide.

Spinors in Four-Dimensional Spaces (Progress in Mathematical Physics, Vol. 59) (Progress in Mathematical Physics, 59)

Mathematics

<p><div>This textbook examines the Hamiltonian formulation in classical mechanics with the basic mathematical tools of multivariate calculus. It explores topics like variational symmetries, canonoid transformations, and geometrical optics that are usually omitted from an introductory classical mechanics course. For students with only a basic knowledge of mathematics and physics, this book makes those results accessible through worked-out examples and well-chosen exercises.</div> <div><br /></div> <div>For readers not familiar with Lagrange equations, the first chapters are devoted to the Lagrangian formalism and its applications. Later sections discuss canonical transformations, the Hamilton-Jacobi equation, and the Liouville Theorem on solutions of the Hamilton-Jacobi equation.&nbsp;</div> <div><br /></div> <div>Graduate and advanced undergraduate students in physics or mathematics who are interested in mechanics and applied math will benefit from this treatment of analytical mechanics. The text assumes the basics of classical mechanics, as well as linear algebra, differential calculus, elementary differential equations and analytic geometry. Designed for self-study, this book includes detailed examples and exercises with complete solutions, although it can also serve as a class text.</div></p>

An Introduction to Hamiltonian Mechanics (Birkhäuser Advanced Texts Basler Lehrbücher)

Reference

<p>This textbook delves into the theory behind differentiable manifolds while exploring various physics applications along the way. Included throughout the book are a collection of exercises of varying degrees of difficulty. <i>Differentiable Manifolds</i> is intended for graduate students and researchers interested in a theoretical physics approach to the subject. Prerequisites include multivariable calculus, linear algebra, and differential equations and a basic knowledge of analytical mechanics.</p>

Differentiable Manifolds: A Theoretical Physics Approach

This textbook examines the Hamiltonian formulation in classical mechanics with the basic mathematical tools of multivariate calculus. It explores topics like variational symmetries, canonoid transformations, and geometrical optics that are usually omitted from an introductory classical mechanics course. For students with only a basic knowledge of mathematics and physics, this book makes those results accessible through worked-out examples and well-chosen exercises.For readers not familiar with Lagrange equations, the first chapters are devoted to the Lagrangian formalism and its applications. Later sections discuss canonical transformations, the Hamilton–Jacobi equation, and the Liouville Theorem on solutions of the Hamilton–Jacobi equation. Graduate and advanced undergraduate students in physics or mathematics who are interested in mechanics and applied math will benefit from this treatment of analytical mechanics. The text assumes the basics of classical mechanics, as well as linear algebra, differential calculus, elementary differential equations and analytic geometry. Designed for self-study, this book includes detailed examples and exercises with complete solutions, although it can also serve as a class text.

Springer

See the best price to sell, buy, or rent books by Torres del Castillo, Gerardo F.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Torres del Castillo, Gerardo F.

See the best price to sell, buy, or rent books by Torres del Castillo, Gerardo F.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

3-D Spinors, Spin-Weighted Functions and their Applications (Progress in Mathematical Physics, 32)

Spinors in Four-Dimensional Spaces (Progress in Mathematical Physics, Vol. 59) (Progress in Mathematical Physics, 59)

An Introduction to Hamiltonian Mechanics (Birkhäuser Advanced Texts Basler Lehrbücher)

Differentiable Manifolds: A Theoretical Physics Approach

Differentiable Manifolds: A Theoretical Physics Approach

An Introduction to Hamiltonian Mechanics (Birkhäuser Advanced Texts Basler Lehrbücher)