{"product_id":"spinors-in-four-dimensional-spaces-9780817649838","title":"Spinors in Four-Dimensional Spaces","description":"\u003cp\u003e • Author(s): Gerardo F. Torres del Castillo\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Birkhauser\u003cbr\u003e • BISAC: Group Theory\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eFrom the Back Cover\u003c\/b\u003e\u003cbr\u003eWithout 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. \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e Key topics and features: \u003cbr\u003e - Uniform treatment of the spinor formalism for four-dimensional spaces of any signature, not only the usual signature (+ + + -) employed in relativity\u003cbr\u003e - Examples taken from Riemannian geometry and special or general relativity are\u003cbr\u003e discussed in detail, emphasizing the usefulness of the two-component spinor formalism\u003cbr\u003e - Exercises in each chapter\u003cbr\u003e - The relationship of Clifford algebras and Dirac four-component spinors is established\u003cbr\u003e - Applications of the two-component formalism, focusing mainly on general relativity, are\u003cbr\u003e presented in the context of actual computations \u003cp\u003e\u003c\/p\u003e \u003cem\u003eSpinors in Four-Dimensional Spaces\u003c\/em\u003e 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. \u003cp\u003e\u003c\/p\u003e Reviews from the author's previous book, \u003cem\u003e3-D Spinors, Spin-Weighted Functions and their Applications\u003c\/em\u003e: \u003cp\u003e\u003c\/p\u003e \u003cem\u003eIn summary...the book 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.\u003c\/em\u003e\u003cbr\u003e \u003cem\u003e\u003cstrong\u003e--Mathematical Reviews\u003c\/strong\u003e\u003c\/em\u003e \u003cp\u003e\u003c\/p\u003e \u003cem\u003eThe present book provides an easy-to-read and unconventional presentation of the spinor formalism for three-dimensional 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.\u003c\/em\u003e\u003cbr\u003e \u003cem\u003e\u003cstrong\u003e--Monatshefte für Mathematik\u003c\/strong\u003e\u003c\/em\u003e","brand":"Springer","offers":[{"title":"Hardcover","offer_id":45280224018583,"sku":"9780817649838","price":8814.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9780817649838.webp?v=1769295703","url":"https:\/\/atlanticbooks.com\/products\/spinors-in-four-dimensional-spaces-9780817649838","provider":"Atlantic Books","version":"1.0","type":"link"}