Development Of The Minkowski Geometry Of Numbers 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 : 1939
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 1939 with Number theory categories.
The Geometry Of Numbers
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Author : C. D. Olds
language : en
Publisher: Cambridge University Press
Release Date : 2000
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 2000 with Mathematics categories.
A self-contained introduction to the geometry of numbers.
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 Geometry Of Numbers
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Author : Harris Hancock
language : en
Publisher:
Release Date : 1964
Development Of The Minkowski Geometry Of Numbers 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 Minkowski, Hermann, 1864-1909 categories.
Geometry Of Numbers
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Author : C. G. Lekkerkerker
language : en
Publisher: Elsevier
Release Date : 2014-05-12
Geometry Of Numbers written by C. G. Lekkerkerker and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-12 with Mathematics categories.
Bibliotheca Mathematica: A Series of Monographs on Pure and Applied Mathematics, Volume VIII: Geometry of Numbers focuses on bodies and lattices in the n-dimensional euclidean space. The text first discusses convex bodies and lattice points and the covering constant and inhomogeneous determinant of a set. Topics include the inhomogeneous determinant of a set, covering constant of a set, theorem of Minkowski-Hlawka, packing of convex bodies, successive minima and determinant of a set, successive minima of a convex body, extremal bodies, and polar reciprocal convex bodies. The publication ponders on star bodies, as well as points of critical lattices on the boundary, reducible, and irreducible star bodies and reduction of automorphic star bodies. The manuscript reviews homogeneous and inhomogeneous s forms and some methods. Discussions focus on asymmetric inequalities, inhomogeneous forms in more variables, indefinite binary quadratic forms, diophantine approximation, sums of powers of linear forms, spheres and quadratic forms, and a method of Blichfeldt and Mordell. The text is a dependable reference for researchers and mathematicians interested in bodies and lattices in the n-dimensional euclidean space.
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.
Lectures On The Geometry Of Numbers
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Author : Carl Ludwig Siegel
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Lectures On The Geometry Of Numbers written by Carl Ludwig Siegel 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 2013-03-09 with Mathematics categories.
Carl Ludwig Siegel gave a course of lectures on the Geometry of Numbers at New York University during the academic year 1945-46, when there were hardly any books on the subject other than Minkowski's original one. This volume stems from Siegel's requirements of accuracy in detail, both in the text and in the illustrations, but involving no changes in the structure and style of the lectures as originally delivered. This book is an enticing introduction to Minkowski's great work. It also reveals the workings of a remarkable mind, such as Siegel's with its precision and power and aesthetic charm. It is of interest to the aspiring as well as the established mathematician, with its unique blend of arithmetic, algebra, geometry, and analysis, and its easy readability.
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.
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.