The Geometry Of Numbers
DOWNLOAD
Download The Geometry Of Numbers PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get The Geometry Of Numbers book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
The Geometry Of Numbers
DOWNLOAD
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.
Geometry Of Numbers
DOWNLOAD
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.
An Introduction To The Geometry Of Numbers
DOWNLOAD
Author : J.W.S. Cassels
language : en
Publisher: Springer Science & Business Media
Release Date : 1996-12-16
An Introduction To The Geometry Of Numbers written by J.W.S. Cassels 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 1996-12-16 with Mathematics categories.
From the reviews: "A well-written, very thorough account ... Among the topics are lattices, reduction, Minkowskis Theorem, distance functions, packings, and automorphs; some applications to number theory; excellent bibliographical references." The American Mathematical Monthly
Lectures On The Geometry Of Numbers
DOWNLOAD
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
DOWNLOAD
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.
An Introduction To The Geometry Of Numbers
DOWNLOAD
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.
An Introduction To The Geometry Of Numbers
DOWNLOAD
Author :
language : en
Publisher:
Release Date : 1971
An Introduction To The Geometry Of Numbers written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with categories.
New Foundations In Mathematics
DOWNLOAD
Author : Garret Sobczyk
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-10-26
New Foundations In Mathematics written by Garret Sobczyk 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 2012-10-26 with Mathematics categories.
The first book of its kind, New Foundations in Mathematics: The Geometric Concept of Number uses geometric algebra to present an innovative approach to elementary and advanced mathematics. Geometric algebra offers a simple and robust means of expressing a wide range of ideas in mathematics, physics, and engineering. In particular, geometric algebra extends the real number system to include the concept of direction, which underpins much of modern mathematics and physics. Much of the material presented has been developed from undergraduate courses taught by the author over the years in linear algebra, theory of numbers, advanced calculus and vector calculus, numerical analysis, modern abstract algebra, and differential geometry. The principal aim of this book is to present these ideas in a freshly coherent and accessible manner. New Foundations in Mathematics will be of interest to undergraduate and graduate students of mathematics and physics who are looking for a unified treatment of many important geometric ideas arising in these subjects at all levels. The material can also serve as a supplemental textbook in some or all of the areas mentioned above and as a reference book for professionals who apply mathematics to engineering and computational areas of mathematics and physics.
Selected Topics In The Geometry Of Numbers
DOWNLOAD
Author : Harold Davenport
language : en
Publisher:
Release Date : 1950
Selected Topics In The Geometry Of Numbers written by Harold Davenport and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1950 with Geometry of numbers categories.
Geometric And Analytic Number Theory
DOWNLOAD
Author : Edmund Hlawka
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Geometric And Analytic Number Theory written by Edmund Hlawka 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 2012-12-06 with Mathematics categories.
In the English edition, the chapter on the Geometry of Numbers has been enlarged to include the important findings of H. Lenstraj furthermore, tried and tested examples and exercises have been included. The translator, Prof. Charles Thomas, has solved the difficult problem of the German text into English in an admirable way. He deserves transferring our 'Unreserved praise and special thailks. Finally, we would like to express our gratitude to Springer-Verlag, for their commitment to the publication of this English edition, and for the special care taken in its production. Vienna, March 1991 E. Hlawka J. SchoiBengeier R. Taschner Preface to the German Edition We have set ourselves two aims with the present book on number theory. On the one hand for a reader who has studied elementary number theory, and who has knowledge of analytic geometry, differential and integral calculus, together with the elements of complex variable theory, we wish to introduce basic results from the areas of the geometry of numbers, diophantine ap proximation, prime number theory, and the asymptotic calculation of number theoretic functions. However on the other hand for the student who has al ready studied analytic number theory, we also present results and principles of proof, which until now have barely if at all appeared in text books.