Development Of The Minkowski Geometry Of Numbers
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Development Of The Minkowski Geometry Of Numbers
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Author : Harris Hancock
language : en
Publisher:
Release Date : 1964
Development Of The Minkowski Geometry Of Numbers written by Harris Hancock and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Algebraic spaces categories.
The Geometry of Numbers as presented here is a sequel to my work on the "Foundations of the Theory of Algebraic Numbers." An attempt is made to broaden the bases or substructures of these subjects rather than to amplify their superstructures. By making a dilation (a term often used in the present work) of the original realm and extended realm upon these new bases is derived within which the theorems of the original realm are more readily proved; theorems hitherto unsolved are solved, while new and more comprehensive theorems may be introduced. [Hermann] Minkowski was one of the great mathematicians of all time. His grasp of geometrical concepts seem almost superhuman. Minkowski came to his theorems through spacial intuitions. Due to the limitations of a manifold in three dimensions he presented his theory in a purely analytic manner. Thus while he was able to treat manifolds of any order, the work is far more difficult of comprehension that if he had first derived his results in a two or three dimensional geometry with illustrative figures and then presented the general theory analytically with the use of such expressions that are indicative of geometric concepts. From this standpoint I have given the entire theory, which I call the "Development of the Minkowski Geometry of Numbers." By using the qualifying word "Minkowski" I am able to limit the content of this work which otherwise would be beyond bounds.--from the introduction.
Development Of The Minkowski Geometry Of Numbers
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Author : Harris Hancock
language : en
Publisher:
Release Date : 1964
Development Of The Minkowski Geometry Of Numbers written by Harris Hancock and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with categories.
Development Of The Minkowski Geometry Of Numbers
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Author : Harris Hancock
language : en
Publisher:
Release Date : 1964
Development Of The Minkowski Geometry Of Numbers written by Harris Hancock and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with categories.
Development Of The Minkowski Geometry Of Numbers
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Author : Harris Hancock
language : en
Publisher:
Release Date : 2005
Development Of The Minkowski Geometry Of Numbers written by Harris Hancock and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Geometry of numbers categories.
A pioneering genius of pure and applied mathematics, Hermann Minkowski (1864-1909) founded the geometry of numbers and wrote extensively about his researches into the field. Until the distinguished American mathematician Harris Hancock interpreted Minkowski's writings, they were accessible only to a few specialists. Hancock elaborated on the master's writings, placing them in clear, readable form. This classic two-volume edition returns Hancock's brilliant exposition to the mathematics community after a long hiatus. Development of the Minkowski Geometry of Numbers concerns itself primarily with geometric problems involving integers and with algebraic problems approachable through geometrical insights. In addition to demonstrating that geometric proofs and theorems in number theory are often simpler and more elegant than arithmetic proofs, the author illuminates many other algebraic and geometric topics. The previous volume examined surfaces that are nowhere concave; the volume of bodies; linear forms; the arithmetical theory of a pair of lines; algebraic numbers; and the theory of continuous fractions. This volume explores the approximations of algebraic numbers and of a real quantity through rational numbers; the arithmetic of the ellipsoid; computation of a volume through successive integrations; extreme standard bodies; analytic-arithmetic inequalities; approximation of numbers in complex realms; properties of convex bodies; and quadratic forms. Book jacket.
The Geometry Of Numbers
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Author : C. D. Olds
language : en
Publisher: Cambridge University Press
Release Date : 2001-02-22
The Geometry Of Numbers written by C. D. Olds and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-02-22 with Mathematics categories.
A self-contained introduction to the geometry of numbers.
An Introduction To The Geometry Of Numbers
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Author : John William Scott Cassels
language : en
Publisher:
Release Date : 1959
An Introduction To The Geometry Of Numbers written by John William Scott Cassels and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1959 with Number theory categories.
Using The Mathematics Literature
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Author : Kristine K. Fowler
language : en
Publisher: CRC Press
Release Date : 2004-05-25
Using The Mathematics Literature written by Kristine K. Fowler and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-05-25 with Language Arts & Disciplines categories.
This reference serves as a reader-friendly guide to every basic tool and skill required in the mathematical library and helps mathematicians find resources in any format in the mathematics literature. It lists a wide range of standard texts, journals, review articles, newsgroups, and Internet and database tools for every major subfield in mathematics and details methods of access to primary literature sources of new research, applications, results, and techniques. Using the Mathematics Literature is the most comprehensive and up-to-date resource on mathematics literature in both print and electronic formats, presenting time-saving strategies for retrieval of the latest information.
From Fermat To Minkowski
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Author : W. Scharlau
language : en
Publisher: Springer Science & Business Media
Release Date : 1985
From Fermat To Minkowski written by W. Scharlau and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Mathematics categories.
Translated from the German by Bühler, W.K.; Cornell, G.
Companion Encyclopedia Of The History And Philosophy Of The Mathematical Sciences
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Author : Ivor Grattan-Guiness
language : en
Publisher: Routledge
Release Date : 2004-11-11
Companion Encyclopedia Of The History And Philosophy Of The Mathematical Sciences written by Ivor Grattan-Guiness and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-11-11 with History categories.
First published in 2004. Routledge is an imprint of Taylor & Francis, an informa company.
Encyclopaedia Of Mathematics
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Author : M. Hazewinkel
language : en
Publisher: Springer
Release Date : 2013-12-01
Encyclopaedia Of Mathematics written by M. Hazewinkel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Mathematics categories.