An introduction to the geometry of numbers

  • 344 Pages
  • 1.14 MB
  • 8326 Downloads
  • English
by
Springer-Verlag , Berlin, New York
Geometry of num
Statement[by] J. W. S. Cassels.
SeriesDie Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete ;, Bd. 99
Classifications
LC ClassificationsQA241.5 .C38 1971
The Physical Object
Paginationvii, 344 p.
ID Numbers
Open LibraryOL5221771M
LC Control Number75154801

This book certainly earns its place in a series on the ‘Classics in Mathematics.’” (Darren Glass, The Mathematical Association of America, January, ) From the Back Cover Reihentext + Geometry of Numbers From the reviews: "The work is carefully by: Cassels has contributed to several areas of number theory and written a number of other expository books: An introduction to diophantine approximations - Rational quadratic forms - Economics for mathematicians - Local fields - Lectures on elliptic curves - Prolegomena to a middlebrow arithmetic of curves of genus 2 (with E.

Flynn). Reihentext + Geometry of Numbers From the reviews: "The work is carefully written. It is well motivated, and interesting to read, even if it is not always easy historical material is included the author has written an excellent account of an interesting subject." (Mathematical Gazette) "A well-written, very thorough account.

An Introduction to the Geometry of Numbers - Ebook written by J.W.S. Cassels. Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read An Introduction to the Geometry of Numbers.

The Geometry of Numbers presents a self-contained introduction to the geometry of numbers, beginning with easily understood questions about lattice-points on lines, circles, An introduction to the geometry of numbers book inside simple polygons in the plane.

Little mathematical expertise is required beyond an acquaintance with those objects and with some basic results in by: From the reviews: "The work is carefully written.

It is well motivated, and interesting to read, even if it is not always easy historical material is included the author has written excellent account of an interesting subject." Mathematical Gazette "A well-written, very thorough account Among the topi are lattices, reduction, Minkowskis Theorem, distance functions, packings, and.

This is a self-contained introduction to the geometry of numbers, beginning with easily understood questions about lattice points on lines, circles and inside simple polygons in the plane.

A minimum of mathematical expertise is required beyond an acquaintance with elementary by: This is a self-contained introduction to the geometry of numbers, beginning with easily understood questions about lattice points on lines, circles and inside simple polygons in the plane.

A minimum of mathematical expertise is required beyond an acquaintance with elementary geometry. The authors gradually lead up to the theorems of Minkowski and others who succeeded him.5/5(1). Buy An Introduction to the Geometry of Numbers (Classics in Mathematics) by Cassels, J.W.S.

(ISBN: ) from Amazon's Book Store. Everyday low prices and free delivery on Author: J.W.S. Cassels. Introduction to the Geometry of Complex Numbers Roland Deaux, Howard Eves Geared toward readers unfamiliar with complex numbers, this text explains how to solve the kinds of problems that frequently arise in the applied sciences, especially electrical studies.

This book is an introduction to number theory and arithmetic geometry, and the goal of the text is to use geometry as the motivation to prove the main theorems in the book. For example, the fundamental theorem of arithmetic is a consequence of the tools we develop in order to 5/5(1).

OCLC Number: Description: 1 vol. (VII p.) ; 23 cm. Contents: Notation Prologue Chapter I. Lattices 1.

Introduction 2.

Description An introduction to the geometry of numbers FB2

Bases and sublattices 3. Lattices under linear transformation 4. Forms and lattices 5. The polar lattice Chapter II.

Reduction 1. Introduction 2. The basic process 3. Definite quadratic forms 4. Indefinite. Introduction 2. Sublattices of prime index 3. The Minkowski-Hlawka theorem 4. Schmidt's theorems 5. A conjecture of Rogers 6.

Unbounded star-bodies Chapter VII. The quotient space 1. Introduction 2. General properties 3. The sum theorem Chapter VIII. Successive minima 1. Introduction 2. Spheres 3. General distance-functions Chapter IX. Packings. Additional Physical Format: Online version: Cassels, J.W.S. (John William Scott).

Introduction to the geometry of numbers. Berlin, Springer,   An Introduction to the Geometry of Numbers by J.

Cassels,available at Book Depository with free delivery worldwide/5(3). An Introduction to the Geometry of Numbers Author: J. Cassels Published by Springer Berlin Heidelberg ISBN: DOI: /   This book is an introduction to number theory and arithmetic geometry, and the goal of the text is to use geometry as the motivation to prove the main theorems in the book.

Details An introduction to the geometry of numbers EPUB

For example, the fundamental theorem of arithmetic is a consequence of the tools we develop in order to find all the integral points on a line in the plane. Introduction to the geometry of numbers.

Berlin, New York, Springer-Verlag, (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: J W S Cassels. InHermann Minkowski introduced a new method into number theory and started a subject called the geometry of numbers.

Minkowski's theorem gives a simple geometric criterion for showing the existence of integers satisfying various conditions and is very useful in proving that certain Diophantine equations have : James S. Kraft, Lawrence C.

Washington. An Introduction to the Geometry of Numbers by J.W.S. Cassels,available at Book Depository with free delivery worldwide/5(3). An Introduction to the Geometry of Numbers by J. Cassels starting at $ An Introduction to the Geometry of Numbers has 2 available editions to buy at Half Price Books Marketplace.

Introduction to the Geometry of Complex Numbers (Dover Books on Mathematics) - Kindle edition by Deaux, Roland, Eves, Howard.

Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Introduction to the Geometry of Complex Numbers (Dover Books on Mathematics).4/5(2).

This item: Introduction to the Geometry of Complex Numbers (Dover Books on Mathematics) by Roland Deaux Paperback $ Only 6 left in stock (more on Cited by: Chonoles’s Geometry of Numbers in F q((1 t)) Mahler’s non-Archimedean Geometry of Numbers Normed Rings Gerstein-Quebbemann Abstract Blichfeldt and Minkowski References 1.

Lattices in Euclidean Space Fix a positive integer N, and consider N-dimensional Euclidean space RN. This book provides an introduction to Number Theory from a point of view that is more geometric than is usual for the subject, inspired by the idea that pictures are often a great aid to understanding.

The title of the book, Topology of Numbers, is intended to express this visual slant, where we are using the term “Topology" with its. This book is an introduction to number theory and arithmetic geometry, and the goal of the text is to use geometry as the motivation to prove the main theorems in the book.

For example, the fundamental theorem of arithmetic is a consequence of the tools we develop in order to. The theme of this book is the geometry of numbers, a branch of the theory of numbers that was discovered by Hermann Minkowski ( ). Where other mathematicians had attacked problems of certain types algebraically, Minkowski’s genius was to approach them from a geometrical point of view.

The three-part treatment begins with geometric representations of complex numbers and proceeds to an in-depth survey of elements of analytic geometry. Readers are assured of a variety of perspectives, which include references to algebra, to the classical notions of analytic geometry, to modern plane geometry, and to results furnished by : Roland Deaux.

Introduction to the Geometry of Complex Numbers book.

Download An introduction to the geometry of numbers FB2

Read reviews from world’s largest community for readers. Geared toward readers unfamiliar with comp /5(4).

Through a careful treatment of number theory and geometry, Number, Shape, & Symmetry: An Introduction to Number Theory, Geometry, and Group Theory helps readers understand serious mathematical ideas and proofs.

Classroom-tested, the book draws on the authors’ successful work with undergraduate students at the University of Chicago, seventh to. The origin of the field goes back to Minkowski, but the first comprehensive book on the subject was J.

W. S. Cassels’ An Introduction To The Geometry of Numbers, originally published in and now available in Springer Verlag’s Classics in Mathematics by:   The three-part treatment begins with geometric representations of complex numbers and proceeds to an in-depth survey of elements of analytic geometry.

Readers are assured of a variety of perspectives, which include references to algebra, to the classical notions of analytic geometry, to modern plane geometry, and to results furnished by s: 2.Introduction to the Geometry of Complex Numbers by Roland Deaux - Mathematics 1 By: Roland Deaux Introduction to the Geometry of Complex Numbers By Roland Deaux Books Introduction to the Geometry of Complex Numbers Roland Deaux or on the other hand obviously clearly read online books in PDF, EPUB, Tuebl, and Mobi Format.