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# đź“™ An introduction to Clifford algebras and spinors by Rocha Jr., RoldĂŁo da; Vaz Jr., Jayme â€” download pdf

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This text explores how Clifford algebras and spinors have been sparking a collaboration and bridging a gap between Physics and Mathematics. This collaboration has been the consequence of a growing awareness of the importance of algebraic and geometric properties in many physical phenomena, and of the discovery of common ground through various touch points: relating Clifford algebras and the arising geometry to so-called spinors, and to their three definitions (both from the mathematical and physical viewpoint). The main point of contact are the representations of Clifford algebras and the periodicity theorems. Clifford algebras also constitute a highly intuitive formalism, having an intimate relationship to quantum field theory. The text strives to seamlessly combine these various viewpoints and is devoted to a wider audience of both physicists and mathematicians.

Among the existing approaches to Clifford algebras and spinors this book is unique in that it provides a didactical presentation of the topic and is accessible to both students and researchers. It emphasizes the formal character and the deep algebraic and geometric completeness, and merges them with the physical applications. The style is clear and precise, but not pedantic. The sole pre-requisites is a course in Linear Algebra which most students of Physics, Mathematics or Engineering will have covered as part of their undergraduate studies.

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## About file:

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Among the existing approaches to Clifford algebras and spinors this book is unique in that it provides a didactical presentation of the topic and is accessible to both students and researchers. It emphasizes the formal character and the deep algebraic and geometric completeness, and merges them with the physical applications. The style is clear and precise, but not pedantic. The sole pre-requisites is a course in Linear Algebra which most students of Physics, Mathematics or Engineering will have covered as part of their undergraduate studies.

- Author:
**Rocha Jr., RoldĂŁo da; Vaz Jr., Jayme** - Year:
**2016** - Publisher:
**Oxford University Press** - Language:
**English** - ISBN:
**0198782926,9780198782926**

- File size:
**2 428 637** - Format:
**pdf**

Security code:

Beginning chapters, suited for undergraduates, introduce vectors, complex numbers, and quaternions as background for material on Clifford algebras. Later chapters, also of interest physicists, treat the quantum mechanics of the electron, electromagnetism,...

The use of Clifford algebras in mathematical physics and engineering has grown rapidly in recent years. Whereas other developments have priviledged a geometric approach, the author uses an algebraic approach which can be introduced as a tensor product of ...

The use of Clifford algebras in mathematical physics and engineering has grown rapidly in recent years. Whereas other developments have privileged a geometric approach, the author uses an algebraic approach which can be introduced as a tensor product of q...

The aim of this book is to unite the seemingly disparate topics of Clifford algebras, analysis on manifolds, and harmonic analysis. The authors show how algebra, geometry, and differential equations play a more fundamental role in Euclidean Fourier analys...

This book is an introduction to algebraic number theory via the famous problem of "Fermat's Last Theorem. The exposition follows the historical development of the problem, beginning with the work of Fermat and ending with Kummer's theory of "ideal" factor...

This book is helping me a lot with my Ph.D. dissertation. It includes a lot of important results on hypercomplex analysis not usually found in the standard monographs on the subject (Brackx, GĂĽrlebeck, Shapiro,...).Its contents are: Clifford algebras, Di...

This introduction to algebraic number theory via the famous problem of "Fermats Last Theorem" follows its historical development, beginning with the work of Fermat and ending with Kummers theory of "ideal" factorization. The more elementary topics, such a...

The second book of a three-part series, An Introduction to Algebraic, Graphical, and Numerical Problem Solving, Fourth Edition, illustrates how mathematics arises naturally from everyday situations through updated and revised real-life activities and the ...

Bringing geometric algebra to the mainstream of physics pedagogy, Geometric Algebra and Applications to Physics not only presents geometric algebra as a discipline within mathematical physics, but the book also shows how geometric algebra can be applied t...

Book by Edward Russell-Walling...

(Un) Civil Society and Political Change in Indonesia provides critical analysis of Indonesiaâ€™s civil society and its impact on the countryâ€™s democratization efforts that does not only take the classical, pro-democratic actors of civil society into account...

Psychoanalytic Collisions Second Edition wrestles with a theme that confronts every psychotherapist: the gap between illusions and realities about the professional self. Joyce SlochowerÂ closely examinesÂ situations in which the therapistâ€™s professional and...

â€śA veritable cornucopia of self-made worth. . . . DIY: The Rise of Lo-Fi Culture is a triumph from beginning to end. . . . Highly recommended.â€ťâ€”Trakmarx.comâ€śA . . . comprehensive guide to the evolution of DIY culture as we know it today.â€ťâ€”Bookslut.comThis...

In the labor market and workplace, anti-discrimination rules, affirmative action policies, and pay equity procedures exercise a direct effect on gender relations. But what can be done to influence the ways that men and women allocate tasks and responsibil...

On July 14, 1789, a crowd of angry French citizens en route to the Bastille broke into the Paris Opera and helped themselves to any sturdy weapon they could find. Yet despite its long association with the royal court, its special privileges, and the splen...

A revelatory and timely look at how technology boosts our cognitive abilitiesÂ—making us smarter, more productive, and more creative than ever Itâ€™s undeniableÂ—technology is changing the way we think. But is it for the better? Amid a chorus of doomsayers, C...

The black power movement helped redefine African Americans' identity and establish a new racial consciousness in the 1960s. As an influential political force, this movement in turn spawned the academic discipline known as Black Studies. Today there are mo...

Kris Paap worked for nearly three years as a carpenter's apprentice on a variety of jobsites, closely observing her colleagues' habits, expressions, and attitudes. As a woman in an overwhelmingly maleâ€”and stereotypically "macho"â€”profession, Paap uses her ...

Many of the leading Freudian analysts, including in the early days, Jung, Adler, Reich and Rank, attempted to link the writings of Nietzsche with the clinical work of Freud. But what was Nietzsche to Freud--an intuitive anticipation, a precursor, a rival ...