Mathematical Papers

Mathematical Papers PDF Author: William Kingdon Clifford
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 776

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Mathematical Papers

Mathematical Papers PDF Author: William Kingdon Clifford
Publisher: American Mathematical Soc.
ISBN: 9780821842522
Category : Mathematics
Languages : en
Pages : 768

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Book Description
William Clifford (1845-1879) was an important mathematician of his day. He is most remembered today for his invention of Clifford algebras, which are fundamental in modern differential geometry and mathematical physics. His ideas on the connection between energy and matter and the curvature of space were important in the eventual formulation of general relativity. Clifford was particularly interested in non-Euclidean geometry. However, in his relatively brief career, he made contributions to diverse fields of mathematics: elliptic functions, Riemann surfaces, biquaternions, motion in Euclidean and non-Euclidean space, spaces of constant curvature, syzygies, and so on. He was also well-known as a teacher and for his ideas on the philosophy of science. This work covers the life and mathematical work of Clifford, from his early education at Templeton (Exeter) to King's College (London), to Trinity (Cambridge) and ultimately to his professorship at University College (London)--a post which he occupied until the time of his death. Tucker discusses Clifford's Fellowship at the Royal Society and his Council post at the London Mathematical Society. His papers and talks are presented and peppered with entertaining anecdotes relating Clifford's associations with his private tutor, family members, and his wide circle of personal friends and professional colleagues.

Mathematical Papers by William Kingdon Clifford

Mathematical Papers by William Kingdon Clifford PDF Author: William Kingdon Clifford
Publisher:
ISBN:
Category :
Languages : en
Pages : 768

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Beyond Geometry

Beyond Geometry PDF Author: Peter Pesic
Publisher: Courier Corporation
ISBN: 0486453502
Category : Mathematics
Languages : en
Pages : 226

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Book Description
Eight essays trace seminal ideas about the foundations of geometry that led to the development of Einstein's general theory of relativity. This is the only English-language collection of these important papers, some of which are extremely hard to find. Contributors include Helmholtz, Klein, Clifford, Poincaré, and Cartan.

A New Approach to Differential Geometry using Clifford's Geometric Algebra

A New Approach to Differential Geometry using Clifford's Geometric Algebra PDF Author: John Snygg
Publisher: Springer Science & Business Media
ISBN: 081768283X
Category : Mathematics
Languages : en
Pages : 472

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Book Description
Differential geometry is the study of the curvature and calculus of curves and surfaces. A New Approach to Differential Geometry using Clifford's Geometric Algebra simplifies the discussion to an accessible level of differential geometry by introducing Clifford algebra. This presentation is relevant because Clifford algebra is an effective tool for dealing with the rotations intrinsic to the study of curved space. Complete with chapter-by-chapter exercises, an overview of general relativity, and brief biographies of historical figures, this comprehensive textbook presents a valuable introduction to differential geometry. It will serve as a useful resource for upper-level undergraduates, beginning-level graduate students, and researchers in the algebra and physics communities.

The Collected Mathematical Papers of Henry John Stephen Smith

The Collected Mathematical Papers of Henry John Stephen Smith PDF Author: Henry John Stephen Smith
Publisher: American Mathematical Soc.
ISBN: 9780828401876
Category : Mathematics
Languages : en
Pages : 704

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Book Description
Includes various mathematical papers of H J S Smith in chronological order. This book features Smith's work on geometry, theory of numbers, and elliptic functions.

The Ethics of Belief. [By William K. Clifford. A Paper Read Before the Metaphysical Society.]

The Ethics of Belief. [By William K. Clifford. A Paper Read Before the Metaphysical Society.] PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 8

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The Emergence of the American Mathematical Research Community, 1876-1900

The Emergence of the American Mathematical Research Community, 1876-1900 PDF Author: Karen Hunger Parshall
Publisher: American Mathematical Soc.
ISBN: 9780821809075
Category : Mathematics
Languages : en
Pages : 532

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Book Description
Cover -- Title page -- Contents -- Preface -- Acknowledgments -- Photograph and Figure Credits -- Chapter 1. An overview of American mathematics: 1776-1876 -- Chapter 2. A new departmental prototype: J.J. Sylvester and the Johns Hopkins University -- Chapter 3. Mathematics at Sylvester's Hopkins -- Chapter 4. German mathematics and the early mathematical career of Felix Klein -- Chapter 5. America's wanderlust generation -- Chapter 6. Changes on the horizon -- Chapter 7. The World's Columbian exposition of 1893 and the Chicago mathematical congress -- Chapter 8. Surveying mathematical landscapes: The Evanston colloquium lectures -- Chapter 9. Meeting the challenge: The University of Chicago and the American mathematical research community -- Chapter 10. Epilogue: Beyond the threshold: The American mathematical research community, 1900-1933 -- Bibliography -- Subject Index -- Back Cover

Treatise of Plane Geometry Through Geometric Algebra

Treatise of Plane Geometry Through Geometric Algebra PDF Author: Ramón González Calvet
Publisher: Treatise of Plane Geometry
ISBN: 8461191498
Category : Geometry, Algebraic
Languages : en
Pages : 43

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Clifford Algebra

Clifford Algebra PDF Author: John Snygg
Publisher: Oxford University Press, USA
ISBN: 0195098242
Category : Clifford algebras
Languages : en
Pages : 352

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Book Description
Clifford algebras have become an indispensable tool for physicists at the cutting edge of theoretical investigations. Applications in physics range from special relativity and the rotating top at one end of the spectrum, to general relativity and Dirac's equation for the electron at the other. Clifford algebras have also become a virtual necessity in some areas of physics, and their usefulness is expanding in other areas, such as algebraic manipulations involving Dirac matrices in quantum thermodynamics; Kaluza-Klein theories and dimensional renormalization theories; and the formation of superstring theories. This book, aimed at beginning graduate students in physics and math, introduces readers to the techniques of Clifford algebras.

Clifford Algebras and Spinors

Clifford Algebras and Spinors PDF Author: Pertti Lounesto
Publisher: Cambridge University Press
ISBN: 0521005515
Category : Mathematics
Languages : en
Pages : 352

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Book Description
This is the second edition of a popular work offering a unique introduction to Clifford algebras and spinors. The beginning chapters could be read by undergraduates; vectors, complex numbers and quaternions are introduced with an eye on Clifford algebras. The next chapters will also interest physicists, and include treatments of the quantum mechanics of the electron, electromagnetism and special relativity with a flavour of Clifford algebras. This edition has three new chapters, including material on conformal invariance and a history of Clifford algebras.