Lectures on the Geometry of Numbers

Lectures on the Geometry of Numbers PDF Author: Carl Ludwig Siegel
Publisher: Springer Science & Business Media
ISBN: 366208287X
Category : Mathematics
Languages : en
Pages : 168

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Book Description
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.

Lectures on the Geometry of Numbers

Lectures on the Geometry of Numbers PDF Author: Carl Ludwig Siegel
Publisher: Springer Science & Business Media
ISBN: 366208287X
Category : Mathematics
Languages : en
Pages : 168

Get Book Here

Book Description
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.

Groups and Geometry

Groups and Geometry PDF Author: Roger C. Lyndon
Publisher: Cambridge University Press
ISBN: 0521316944
Category : Mathematics
Languages : en
Pages : 231

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Book Description
This 1985 book is an introduction to certain central ideas in group theory and geometry. Professor Lyndon emphasises and exploits the well-known connections between the two subjects and leads the reader to the frontiers of current research at the time of publication.

Lectures on Symplectic Geometry

Lectures on Symplectic Geometry PDF Author: Ana Cannas da Silva
Publisher: Springer
ISBN: 354045330X
Category : Mathematics
Languages : en
Pages : 240

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Book Description
The goal of these notes is to provide a fast introduction to symplectic geometry for graduate students with some knowledge of differential geometry, de Rham theory and classical Lie groups. This text addresses symplectomorphisms, local forms, contact manifolds, compatible almost complex structures, Kaehler manifolds, hamiltonian mechanics, moment maps, symplectic reduction and symplectic toric manifolds. It contains guided problems, called homework, designed to complement the exposition or extend the reader's understanding. There are by now excellent references on symplectic geometry, a subset of which is in the bibliography of this book. However, the most efficient introduction to a subject is often a short elementary treatment, and these notes attempt to serve that purpose. This text provides a taste of areas of current research and will prepare the reader to explore recent papers and extensive books on symplectic geometry where the pace is much faster. For this reprint numerous corrections and clarifications have been made, and the layout has been improved.

Lectures on Formal and Rigid Geometry

Lectures on Formal and Rigid Geometry PDF Author: Siegfried Bosch
Publisher: Springer
ISBN: 3319044176
Category : Mathematics
Languages : en
Pages : 255

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Book Description
The aim of this work is to offer a concise and self-contained 'lecture-style' introduction to the theory of classical rigid geometry established by John Tate, together with the formal algebraic geometry approach launched by Michel Raynaud. These Lectures are now viewed commonly as an ideal means of learning advanced rigid geometry, regardless of the reader's level of background. Despite its parsimonious style, the presentation illustrates a number of key facts even more extensively than any other previous work. This Lecture Notes Volume is a revised and slightly expanded version of a preprint that appeared in 2005 at the University of Münster's Collaborative Research Center "Geometrical Structures in Mathematics".

Differential Geometry in the Large

Differential Geometry in the Large PDF Author: Owen Dearricott
Publisher: Cambridge University Press
ISBN: 1108879993
Category : Mathematics
Languages : en
Pages : 402

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Book Description
The 2019 'Australian-German Workshop on Differential Geometry in the Large' represented an extraordinary cross section of topics across differential geometry, geometric analysis and differential topology. The two-week programme featured talks from prominent keynote speakers from across the globe, treating geometric evolution equations, structures on manifolds, non-negative curvature and Alexandrov geometry, and topics in differential topology. A joy to the expert and novice alike, this proceedings volume touches on topics as diverse as Ricci and mean curvature flow, geometric invariant theory, Alexandrov spaces, almost formality, prescribed Ricci curvature, and Kähler and Sasaki geometry.

17 Lectures on Fermat Numbers

17 Lectures on Fermat Numbers PDF Author: Michal Krizek
Publisher: Springer Science & Business Media
ISBN: 0387218505
Category : Mathematics
Languages : en
Pages : 280

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Book Description
The pioneering work of Pierre de Fermat has attracted the attention of mathematicians for over 350 years. This book provides an overview of the many properties of Fermat numbers and demonstrates their applications in areas such as number theory, probability theory, geometry, and signal processing. It is an ideal introduction to the basic mathematical ideas and algebraic methods connected with the Fermat numbers.

An Introduction to Noncommutative Differential Geometry and Its Physical Applications

An Introduction to Noncommutative Differential Geometry and Its Physical Applications PDF Author: J. Madore
Publisher: Cambridge University Press
ISBN: 0521659914
Category : Mathematics
Languages : en
Pages : 381

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Book Description
A thoroughly revised introduction to non-commutative geometry.

Information Geometry

Information Geometry PDF Author:
Publisher: Springer Science & Business Media
ISBN: 3540693912
Category :
Languages : ja
Pages : 263

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Book Description


Geometric Analysis of Hyperbolic Differential Equations: An Introduction

Geometric Analysis of Hyperbolic Differential Equations: An Introduction PDF Author: S. Alinhac
Publisher: Cambridge University Press
ISBN: 1139485814
Category : Mathematics
Languages : en
Pages :

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Book Description
Its self-contained presentation and 'do-it-yourself' approach make this the perfect guide for graduate students and researchers wishing to access recent literature in the field of nonlinear wave equations and general relativity. It introduces all of the key tools and concepts from Lorentzian geometry (metrics, null frames, deformation tensors, etc.) and provides complete elementary proofs. The author also discusses applications to topics in nonlinear equations, including null conditions and stability of Minkowski space. No previous knowledge of geometry or relativity is required.

The Geometry of Jet Bundles

The Geometry of Jet Bundles PDF Author: D. J. Saunders
Publisher: Cambridge University Press
ISBN: 0521369487
Category : Mathematics
Languages : en
Pages : 307

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Book Description
The purpose of this book is to , particularly those associated with the calculus of variations, in a modern geometric way.