Geometry of Numbers

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Publisher : Elsevier
ISBN 13 : 1483259277
Total Pages : 521 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Geometry of Numbers by : C. G. Lekkerkerker

Download or read book Geometry of Numbers written by C. G. Lekkerkerker and published by Elsevier. This book was released on 2014-05-12 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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Publisher : TheBookEdition
ISBN 13 : 1446133184
Total Pages : 480 pages
Book Rating : 4.4/5 (461 download)

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Book Synopsis by :

Download or read book written by and published by TheBookEdition. This book was released on with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Complex Analysis and Geometry

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Publisher : Birkhäuser
ISBN 13 : 3034884362
Total Pages : 250 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Complex Analysis and Geometry by : Pierre Dolbeault

Download or read book Complex Analysis and Geometry written by Pierre Dolbeault and published by Birkhäuser. This book was released on 2012-12-06 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This meeting has been motivated by two events: the 85th birthday of Pierre Lelong, and the end of the third year of the European network "Complex analysis and analytic geometry" from the programme Human Capital and Mobility. For the first event, Mathematicians from Poland, Sweden, United States and France, whose work is particularly related to the one ofP. Lelong have accepted to participate; for the second, the different teams of the Network sent lecturers to report on their most recent works. These teams are from Grenoble, Wuppertal, Berlin, Pisa and Paris VI; in fact, most of their results are also related to Lelong's work and, a posteriori, it is difficult to decide whether a talk is motivated by the first or by the second event. We chose only plenary lectures, usually of one hour, except a small number, given by young mathematicians, which have been shorter. A two hours problem session has been organized. The Proceedings gather papers which are exact texts of the talks, or are closely related to them. The members from the Network and five other lecturers sent us papers; the other lecturers published the content of their talks in mathematical Journals. All the presented texts have been submitted to referees independent of the organizing committee; the texts of the problems have been approved by their authors.

Introduction À la Géométrie Des Nombres Complexes. Introduction to the Geometry of Complex Numbers ... Translated from the Revised Edition by Howard Eves

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Publisher :
ISBN 13 :
Total Pages : 208 pages
Book Rating : 4.:/5 (559 download)

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Book Synopsis Introduction À la Géométrie Des Nombres Complexes. Introduction to the Geometry of Complex Numbers ... Translated from the Revised Edition by Howard Eves by : Roland DEAUX

Download or read book Introduction À la Géométrie Des Nombres Complexes. Introduction to the Geometry of Complex Numbers ... Translated from the Revised Edition by Howard Eves written by Roland DEAUX and published by . This book was released on 1956 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Contributions to Geometry

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Publisher : Birkhäuser
ISBN 13 : 3034857659
Total Pages : 399 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Contributions to Geometry by : WILLS

Download or read book Contributions to Geometry written by WILLS and published by Birkhäuser. This book was released on 2013-11-11 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the time from June 28-July 1, 1978, representatives of different branches of geometry met in Siegen for discussion of and reports on current problems. In particular, the survey lectures, presented by well known geometers, gave nonspecialists the welcome opportunity to learn about the questions posed, the methods used and the results obtained in different areas of the field of geometry. The research areas represented at the meeting in Siegen are reflected in the list of participants and their contributions: Ranging from geometric convexity and related topics to differential geometry and kinematics. The foundations of geometry, an area well established in Germany, was also represented. It is a pleasure to thank all the lecturers as well as other participants in the Geometry Symposium for their contribution to the success of the meeting. We also thank the "Minister fUr Wissenschaft und Forschung des Landes Nordrhein-Westfalen" and the University of Siegen for their generous support which helped make the Symposium so successful. In order to make the contributions and results of the Symposium accessible to the general public, the publication of a proceedings volume was planned. The idea was to give a summary of a wide spectrum of research in geometr- through survey articles and original research papers.

Backgrounds of Arithmetic and Geometry

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Publisher : World Scientific
ISBN 13 : 9789810222109
Total Pages : 302 pages
Book Rating : 4.2/5 (221 download)

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Book Synopsis Backgrounds of Arithmetic and Geometry by : Radu Miron

Download or read book Backgrounds of Arithmetic and Geometry written by Radu Miron and published by World Scientific. This book was released on 1995 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is an introduction to the foundations of Mathematics. The use of the constructive method in Arithmetic and the axiomatic method in Geometry gives a unitary understanding of the backgrounds of geometry, of its development and of its organic link with the study of real numbers and algebraic structures.

Géométrie des pavages : De la conception à la réalisation sur ordinateur

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Publisher : Lavoisier
ISBN 13 : 2746295032
Total Pages : 418 pages
Book Rating : 4.7/5 (462 download)

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Book Synopsis Géométrie des pavages : De la conception à la réalisation sur ordinateur by : AUDIBERT Pierre

Download or read book Géométrie des pavages : De la conception à la réalisation sur ordinateur written by AUDIBERT Pierre and published by Lavoisier. This book was released on 2013-02-01 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Des fresques de l’Antiquité romaine aux pavages de Durer et Kepler, des mosaïques de l’art arabo-persan aux pavages de Penrose, l’art décoratif est illuminé de motifs géométriques foisonnants. Soumis à des régularités lancinantes ou à des symétries kaléidoscopiques, ils forment un trait d’union privilégié entre l’art et les mathématiques. S’adressant aux enseignants et étudiants en mathématiques ou informatique comme aux amateurs d’art, Géométrie des pavages propose différentes clés permettant de mieux comprendre la beauté cachée des formes, mais également de devenir les artisans constructeurs des pavages sur ordinateur. Il détaille les trois types de conception géométrique (surface plane, sphérique ou géométrie non euclidienne hyperbolique) et les concepts théoriques qui les fondent. La compréhension des mécanismes internes de la fabrication des pavages permet ainsi d’accéder aux programmes de réalisation sur ordinateur, donnant accès à des visualisations instantanées et à un grand nombre de variations possibles.

Frontiers in Number Theory, Physics, and Geometry II

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Publisher : Springer Science & Business Media
ISBN 13 : 3540303081
Total Pages : 806 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Frontiers in Number Theory, Physics, and Geometry II by : Pierre E. Cartier

Download or read book Frontiers in Number Theory, Physics, and Geometry II written by Pierre E. Cartier and published by Springer Science & Business Media. This book was released on 2007-07-18 with total page 806 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ten years after a 1989 meeting of number theorists and physicists at the Centre de Physique des Houches, a second event focused on the broader interface of number theory, geometry, and physics. This book is the first of two volumes resulting from that meeting. Broken into three parts, it covers Conformal Field Theories, Discrete Groups, and Renormalization, offering extended versions of the lecture courses and shorter texts on special topics.

Noncommutative Geometry and Number Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3834803529
Total Pages : 374 pages
Book Rating : 4.8/5 (348 download)

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Book Synopsis Noncommutative Geometry and Number Theory by : Caterina Consani

Download or read book Noncommutative Geometry and Number Theory written by Caterina Consani and published by Springer Science & Business Media. This book was released on 2007-12-18 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, number theory and arithmetic geometry have been enriched by new techniques from noncommutative geometry, operator algebras, dynamical systems, and K-Theory. This volume collects and presents up-to-date research topics in arithmetic and noncommutative geometry and ideas from physics that point to possible new connections between the fields of number theory, algebraic geometry and noncommutative geometry. The articles collected in this volume present new noncommutative geometry perspectives on classical topics of number theory and arithmetic such as modular forms, class field theory, the theory of reductive p-adic groups, Shimura varieties, the local L-factors of arithmetic varieties. They also show how arithmetic appears naturally in noncommutative geometry and in physics, in the residues of Feynman graphs, in the properties of noncommutative tori, and in the quantum Hall effect.

From Classical to Modern Algebraic Geometry

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Publisher : Birkhäuser
ISBN 13 : 3319329944
Total Pages : 760 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis From Classical to Modern Algebraic Geometry by : Gianfranco Casnati

Download or read book From Classical to Modern Algebraic Geometry written by Gianfranco Casnati and published by Birkhäuser. This book was released on 2017-04-20 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book commemorates the 150th birthday of Corrado Segre, one of the founders of the Italian School of Algebraic Geometry and a crucial figure in the history of Algebraic Geometry. It is the outcome of a conference held in Turin, Italy. One of the book's most unique features is the inclusion of a previously unpublished manuscript by Corrado Segre, together with a scientific commentary. Representing a prelude to Segre's seminal 1894 contribution on the theory of algebraic curves, this manuscript and other important archival sources included in the essays shed new light on the eminent role he played at the international level. Including both survey articles and original research papers, the book is divided into three parts: section one focuses on the implications of Segre's work in a historic light, while section two presents new results in his field, namely Algebraic Geometry. The third part features Segre's unpublished notebook: Sulla Geometria Sugli Enti Algebrici Semplicemente Infiniti (1890-1891). This volume will appeal to scholars in the History of Mathematics, as well as to researchers in the current subfields of Algebraic Geometry.

Algorithms in Algebraic Geometry and Applications

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Publisher : Birkhäuser
ISBN 13 : 3034891040
Total Pages : 407 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Algorithms in Algebraic Geometry and Applications by : Laureano Gonzalez-Vega

Download or read book Algorithms in Algebraic Geometry and Applications written by Laureano Gonzalez-Vega and published by Birkhäuser. This book was released on 2012-12-06 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume contains a selection of refereed papers from the MEGA-94 symposium held in Santander, Spain, in April 1994. They cover recent developments in the theory and practice of computation in algebraic geometry and present new applications in science and engineering, particularly computer vision and theory of robotics. The volume will be of interest to researchers working in the areas of computer algebra and symbolic computation as well as to mathematicians and computer scientists interested in gaining access to these topics.

Recent Advances in Geometric Inequalities

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Publisher : Springer Science & Business Media
ISBN 13 : 9401578427
Total Pages : 728 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Recent Advances in Geometric Inequalities by : Dragoslav S. Mitrinovic

Download or read book Recent Advances in Geometric Inequalities written by Dragoslav S. Mitrinovic and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Histoire des Sciences Mathématiques et Physiques

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Publisher : BoD – Books on Demand
ISBN 13 : 3385321395
Total Pages : 298 pages
Book Rating : 4.3/5 (853 download)

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Book Synopsis Histoire des Sciences Mathématiques et Physiques by : Maximilien Marie

Download or read book Histoire des Sciences Mathématiques et Physiques written by Maximilien Marie and published by BoD – Books on Demand. This book was released on 2024-01-23 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reprint of the original, first published in 1883.

Revue Semestrielle Des Publications Mathématiques

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Publisher :
ISBN 13 :
Total Pages : 712 pages
Book Rating : 4.U/5 (183 download)

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Book Synopsis Revue Semestrielle Des Publications Mathématiques by :

Download or read book Revue Semestrielle Des Publications Mathématiques written by and published by . This book was released on 1908 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Collected Papers

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540676409
Total Pages : 750 pages
Book Rating : 4.6/5 (764 download)

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Book Synopsis Collected Papers by : Armand Borel

Download or read book Collected Papers written by Armand Borel and published by Springer Science & Business Media. This book was released on 1983 with total page 750 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects the papers published by A. Borel from 1983 to 1999. About half of them are research papers, written on his own or in collaboration, on various topics pertaining mainly to algebraic or Lie groups, homogeneous spaces, arithmetic groups (L2-spectrum, automorphic forms, cohomology and covolumes), L2-cohomology of symmetric or locally symmetric spaces, and to the Oppenheim conjecture. Other publications include surveys and personal recollections (of D. Montgomery, Harish-Chandra, and A. Weil), considerations on mathematics in general and several articles of a historical nature: on the School of Mathematics at the Institute for Advanced Study, on N. Bourbaki and on selected aspects of the works of H. Weyl, C. Chevalley, E. Kolchin, J. Leray, and A. Weil. The book concludes with an essay on H. Poincaré and special relativity. Some comments on, and corrections to, a number of papers have also been added.

Notes

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Publisher :
ISBN 13 :
Total Pages : 406 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Notes by : Canadian Mathematical Society

Download or read book Notes written by Canadian Mathematical Society and published by . This book was released on 1988 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Algebraic Independence Theory

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Publisher : Springer
ISBN 13 : 3540445501
Total Pages : 257 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Introduction to Algebraic Independence Theory by : Yuri V. Nesterenko

Download or read book Introduction to Algebraic Independence Theory written by Yuri V. Nesterenko and published by Springer. This book was released on 2003-07-01 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last five years there has been very significant progress in the development of transcendence theory. A new approach to the arithmetic properties of values of modular forms and theta-functions was found. The solution of the Mahler-Manin problem on values of modular function j(tau) and algebraic independence of numbers pi and e^(pi) are most impressive results of this breakthrough. The book presents these and other results on algebraic independence of numbers and further, a detailed exposition of methods created in last the 25 years, during which commutative algebra and algebraic geometry exerted strong catalytic influence on the development of the subject.