An Introduction to the Algebra of Quantics

An Introduction to the Algebra of Quantics PDF Author: Edwin Bailey Elliott
Publisher:
ISBN:
Category :
Languages : en
Pages : 456

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An Introduction to the Algebra of Quantics

An Introduction to the Algebra of Quantics PDF Author: Edwin Bailey Elliott
Publisher:
ISBN:
Category :
Languages : en
Pages : 456

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Book Description


Algebra of Quantics

Algebra of Quantics PDF Author: Edwin B. Elliott
Publisher: American Mathematical Soc.
ISBN: 9780828401845
Category : Mathematics
Languages : en
Pages : 444

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An Introduction to Invariants and Moduli

An Introduction to Invariants and Moduli PDF Author: Shigeru Mukai
Publisher: Cambridge University Press
ISBN: 9780521809061
Category : Mathematics
Languages : en
Pages : 528

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Sample Text

Mathematics of Classical and Quantum Physics

Mathematics of Classical and Quantum Physics PDF Author: Frederick W. Byron
Publisher: Courier Corporation
ISBN: 0486135063
Category : Science
Languages : en
Pages : 674

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Book Description
Graduate-level text offers unified treatment of mathematics applicable to many branches of physics. Theory of vector spaces, analytic function theory, theory of integral equations, group theory, and more. Many problems. Bibliography.

The Academy

The Academy PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 442

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Academy and Literature

Academy and Literature PDF Author: Charles Edward Cutts Birch Appleton
Publisher:
ISBN:
Category : Literature
Languages : en
Pages : 556

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Sum of Even Powers of Real Linear Forms

Sum of Even Powers of Real Linear Forms PDF Author: Bruce Arie Reznick
Publisher: American Mathematical Soc.
ISBN: 0821825232
Category : Mathematics
Languages : en
Pages : 169

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Book Description
This work initiates a systematic analysis of the representation of real forms of even degree as sums of powers of linear forms and the resulting implications in real algebraic geometry, number theory, combinatorics, functional analysis, and numerical analysis. The proofs utilize elementary techniques from linear algebra, convexity, number theory, and real algebraic geometry and many explicit examples and relevant historical remarks are presented.

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

The Geometry of some special Arithmetic Quotients

The Geometry of some special Arithmetic Quotients PDF Author: Bruce Hunt
Publisher: Springer
ISBN: 354069997X
Category : Mathematics
Languages : en
Pages : 347

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Book Description
The book discusses a series of higher-dimensional moduli spaces, of abelian varieties, cubic and K3 surfaces, which have embeddings in projective spaces as very special algebraic varieties. Many of these were known classically, but in the last chapter a new such variety, a quintic fourfold, is introduced and studied. The text will be of interest to all involved in the study of moduli spaces with symmetries, and contains in addition a wealth of material which has been only accessible in very old sources, including a detailed presentation of the solution of the equation of 27th degree for the lines on a cubic surface.

Taming the Unknown

Taming the Unknown PDF 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.