An Introduction to the Algebra of Quantics PDF Download
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Author: Edwin Bailey Elliott
Publisher:
ISBN:
Category :
Languages : en
Pages : 456
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Author: Edwin Bailey Elliott
Publisher:
ISBN:
Category :
Languages : en
Pages : 456
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Book Description
Author: Edwin B. Elliott
Publisher: American Mathematical Soc.
ISBN: 9780828401845
Category : Mathematics
Languages : en
Pages : 444
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Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 552
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Author: Shigeru Mukai
Publisher: Cambridge University Press
ISBN: 9780521809061
Category : Mathematics
Languages : en
Pages : 528
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Author: Charles Edward Cutts Birch Appleton
Publisher:
ISBN:
Category : Literature
Languages : en
Pages : 556
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Category : Earth sciences
Languages : en
Pages : 546
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Author: Victor J. Katz
Publisher: Princeton University Press
ISBN: 0691204071
Category : Mathematics
Languages : en
Pages : 502
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Book Description
What is algebra? For some, it is an abstract language of x's and y’s. For mathematics majors and professional mathematicians, it is a world of axiomatically defined constructs like groups, rings, and fields. Taming the Unknown considers how these two seemingly different types of algebra evolved and how they relate. Victor Katz and Karen Parshall explore the history of algebra, from its roots in the ancient civilizations of Egypt, Mesopotamia, Greece, China, and India, through its development in the medieval Islamic world and medieval and early modern Europe, to its modern form in the early twentieth century. Defining algebra originally as a collection of techniques for determining unknowns, the authors trace the development of these techniques from geometric beginnings in ancient Egypt and Mesopotamia and classical Greece. They show how similar problems were tackled in Alexandrian Greece, in China, and in India, then look at how medieval Islamic scholars shifted to an algorithmic stage, which was further developed by medieval and early modern European mathematicians. With the introduction of a flexible and operative symbolism in the sixteenth and seventeenth centuries, algebra entered into a dynamic period characterized by the analytic geometry that could evaluate curves represented by equations in two variables, thereby solving problems in the physics of motion. This new symbolism freed mathematicians to study equations of degrees higher than two and three, ultimately leading to the present abstract era. Taming the Unknown follows algebra’s remarkable growth through different epochs around the globe.
Author: Shashikant Mulay
Publisher: Springer
ISBN: 3030004945
Category : Technology & Engineering
Languages : en
Pages : 164
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This monograph presents an intuitive theory of trial wave functions for strongly interacting fermions in fractional quantum Hall states. The correlation functions for the proposed fermion interactions follow a novel algebraic approach that harnesses the classical theory of invariants and semi-invariants of binary forms. This approach can be viewed as a fitting and far-reaching generalization of Laughlin’s approach to trial wave functions. Aesthetically viewed, it illustrates an attractive symbiosis between the theory of invariants and the theory of correlations. Early research into numerical diagonalization computations for small numbers of electrons shows strong agreement with the constructed trial wave functions.The monograph offers researchers and students of condensed matter physics an accessible discussion of this interesting area of research.
Author: P. Theerman
Publisher: Springer Science & Business Media
ISBN: 940115810X
Category : History
Languages : en
Pages : 336
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Book Description
This volume, honoring the renowned historian of science, Allen G Debus, explores ideas of science - `experiences of nature' - from within a historiographical tradition that Debus has done much to define. As his work shows, the sciences do not develop exclusively as a result of a progressive and inexorable logic of discovery. A wide variety of extra-scientific factors, deriving from changing intellectual contexts and differing social millieus, play crucial roles in the overall development of scientific thought. These essays represent case studies in a broad range of scientific settings - from sixteenth-century astronomy and medicine, through nineteenth-century biology and mathematics, to the social sciences in the twentieth-century - that show the impact of both social settings and the cross-fertilization of ideas on the formation of science. Aimed at a general audience interested in the history of science, this book closes with Debus's personal perspective on the development of the field. Audience: This book will appeal especially to historians of science, of chemistry, and of medicine.
Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 876
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