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Author : José M. Aroca
Publisher : Editions Hermann
ISBN 13 : 9782705660291
Total Pages : 200 pages
Book Rating : 4.6/5 (62 download)
Download or read book Géométrie algébrique et applications written by José M. Aroca and published by Editions Hermann. This book was released on 1987 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David A. Cox
Publisher : American Mathematical Soc.
ISBN 13 : 1470451379
Total Pages : 264 pages
Book Rating : 4.4/5 (74 download)
Download or read book Applications of Polynomial Systems written by David A. Cox and published by American Mathematical Soc.. This book was released on 2020-03-02 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Systems of polynomial equations can be used to model an astonishing variety of phenomena. This book explores the geometry and algebra of such systems and includes numerous applications. The book begins with elimination theory from Newton to the twenty-first century and then discusses the interaction between algebraic geometry and numerical computations, a subject now called numerical algebraic geometry. The final three chapters discuss applications to geometric modeling, rigidity theory, and chemical reaction networks in detail. Each chapter ends with a section written by a leading expert. Examples in the book include oil wells, HIV infection, phylogenetic models, four-bar mechanisms, border rank, font design, Stewart-Gough platforms, rigidity of edge graphs, Gaussian graphical models, geometric constraint systems, and enzymatic cascades. The reader will encounter geometric objects such as Bézier patches, Cayley-Menger varieties, and toric varieties; and algebraic objects such as resultants, Rees algebras, approximation complexes, matroids, and toric ideals. Two important subthemes that appear in multiple chapters are toric varieties and algebraic statistics. The book also discusses the history of elimination theory, including its near elimination in the middle of the twentieth century. The main goal is to inspire the reader to learn about the topics covered in the book. With this in mind, the book has an extensive bibliography containing over 350 books and papers.
Author : Pierre Cartier
Publisher : Springer Science & Business Media
ISBN 13 : 0817645748
Total Pages : 514 pages
Book Rating : 4.8/5 (176 download)
Download or read book The Grothendieck Festschrift, Volume I written by Pierre Cartier and published by Springer Science & Business Media. This book was released on 2009-05-21 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: This three-volume work contains articles collected on the occasion of Alexander Grothendieck’s sixtieth birthday and originally published in 1990. The articles were offered as a tribute to one of the world’s greatest living mathematicians. Many of the groundbreaking contributions in these volumes contain material that is now considered foundational to the subject. Topics addressed by these top-notch contributors match the breadth of Grothendieck’s own interests, including: functional analysis, algebraic geometry, algebraic topology, number theory, representation theory, K-theory, category theory, and homological algebra.
Author : J.-L. Colliot-Thelene
Publisher : Springer
ISBN 13 : 3540395482
Total Pages : 471 pages
Book Rating : 4.5/5 (43 download)
Download or read book Geometrie algebrique reelle et formes quadratiques written by J.-L. Colliot-Thelene and published by Springer. This book was released on 2006-11-15 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jacek Bochnak
Publisher : Springer Science & Business Media
ISBN 13 : 3662037181
Total Pages : 429 pages
Book Rating : 4.6/5 (62 download)
Download or read book Real Algebraic Geometry written by Jacek Bochnak and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume is a translation, revision and updating of our book (pub lished in French) with the title "Geometrie Algebrique Reelle". Since its pub lication in 1987 the theory has made advances in several directions. There have also been new insights into material already in the French edition. Many of these advances and insights have been incorporated in this English version of the book, so that it may be viewed as being substantially different from the original. We wish to thank Michael Buchner for his careful reading of the text and for his linguistic corrections and stylistic improvements. The initial Jb. TEiX file was prepared by Thierry van Effelterre. The three authors participate in the European research network "Real Algebraic and Analytic Geometry". The first author was partially supported by NATO Collaborative Research Grant 960011. Jacek Bochnak April 1998 Michel Coste Marie-Pranroise Roy Table of Contents Preface. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . V Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1. Ordered Fields, Real Closed Fields . . . . . . . . . . . . . . . . . . . . . . . 7 1. 1 Ordered Fields, Real Fields . . . . . " . . . . . . . . . . . . . . . . . . . . . . . 7 1. 2 Real Closed Fields. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 1. 3 Real Closure of an Ordered Field. . . . . . . . . . . . . . . . . . . . . . . . . 14 1. 4 The Tarski-Seidenberg Principle. . . . . . . . . . . . . . . . . . . . . . . . . . 17 2. Semi-algebraic Sets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 2. 1 Algebraic and Semi-algebraic Sets. . . . . . . . . . . . . . . . . . . . . . . . 23 2. 2 Projection of Semi-algebraic Sets. Semi-algebraic Mappings. . 26 2. 3 Decomposition of Semi-algebraic Sets. . . . . . . . . . . . . . . . . . . . . 30 2. 4 Connectedness. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34 2. 5 Closed and Bounded Semi-algebraic Sets. Curve-selection Lemma . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 2. 6 Continuous Semi-algebraic Functions. Lojasiewicz's Inequality 42 2. 7 Separation of Closed Semi-algebraic Sets. . . . . . . . . . . . . . . . . .
Author : Emmanuel Peyre
Publisher : Springer Nature
ISBN 13 : 3030575594
Total Pages : 469 pages
Book Rating : 4.0/5 (35 download)
Download or read book Arakelov Geometry and Diophantine Applications written by Emmanuel Peyre and published by Springer Nature. This book was released on 2021-03-10 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bridging the gap between novice and expert, the aim of this book is to present in a self-contained way a number of striking examples of current diophantine problems to which Arakelov geometry has been or may be applied. Arakelov geometry can be seen as a link between algebraic geometry and diophantine geometry. Based on lectures from a summer school for graduate students, this volume consists of 12 different chapters, each written by a different author. The first chapters provide some background and introduction to the subject. These are followed by a presentation of different applications to arithmetic geometry. The final part describes the recent application of Arakelov geometry to Shimura varieties and the proof of an averaged version of Colmez's conjecture. This book thus blends initiation to fundamental tools of Arakelov geometry with original material corresponding to current research. This book will be particularly useful for graduate students and researchers interested in the connections between algebraic geometry and number theory. The prerequisites are some knowledge of number theory and algebraic geometry.
Author : Gary L. Mullen
Publisher : American Mathematical Soc.
ISBN 13 : 0821851837
Total Pages : 434 pages
Book Rating : 4.8/5 (218 download)
Download or read book Finite Fields: Theory, Applications, and Algorithms written by Gary L. Mullen and published by American Mathematical Soc.. This book was released on 1994 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: Because of their applications in so many diverse areas, finite fields continue to play increasingly important roles in various branches of modern mathematics, including number theory, algebra, and algebraic geometry, as well as in computer science, information theory, statistics, and engineering. Computational and algorithmic aspects of finite field problems also continue to grow in importance. This volume contains the refereed proceedings of a conference entitled Finite Fields: Theory, Applications and Algorithms, held in August 1993 at the University of Nevada at Las Vegas. Among the topics treated are theoretical aspects of finite fields, coding theory, cryptology, combinatorial design theory, and algorithms related to finite fields. Also included is a list of open problems and conjectures. This volume is an excellent reference for applied and research mathematicians as well as specialists and graduate students in information theory, computer science, and electrical engineering.
Author : M. P. Fourman
Publisher : Springer
ISBN 13 : 3540348492
Total Pages : 798 pages
Book Rating : 4.5/5 (43 download)
Download or read book Applications of Sheaves written by M. P. Fourman and published by Springer. This book was released on 2006-11-15 with total page 798 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alex Heller
Publisher : American Mathematical Soc.
ISBN 13 : 0821814176
Total Pages : 239 pages
Book Rating : 4.8/5 (218 download)
Download or read book Applications of Categorical Algebra written by Alex Heller and published by American Mathematical Soc.. This book was released on 1970 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the proceedings of the Symposium in Pure Mathematics held in New York City on April 10-11, 1968. The organizing committee felt that it was appropriate to devote attention to the applications of categorical algebra rather than to its autonomous development. It was explicit problems in topology and algebra which led to the engendering of category theory, and the applications continue to be numerous and lively. It is hoped the included papers show the diversity of research in categorical algebra.
Author :
Publisher :
ISBN 13 :
Total Pages : 460 pages
Book Rating : 4.0/5 ( download)
Download or read book Groupes de Monodromie en Géométrie Algébrique written by and published by . This book was released on 1972 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sergeĭ Petrovich Novikov
Publisher : American Mathematical Soc.
ISBN 13 : 9780821831519
Total Pages : 266 pages
Book Rating : 4.8/5 (315 download)
Download or read book Topology and Its Applications written by Sergeĭ Petrovich Novikov and published by American Mathematical Soc.. This book was released on 1993 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Proceedings of an international topology conference - this book covrs various aspects of general algebraic, and low-dimensional topology.
Author : Wijesuriya P. Dayawansa
Publisher : Springer Science & Business Media
ISBN 13 : 9783540239536
Total Pages : 420 pages
Book Rating : 4.2/5 (395 download)
Download or read book New Directions and Applications in Control Theory written by Wijesuriya P. Dayawansa and published by Springer Science & Business Media. This book was released on 2005-08-31 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a collection of papers in control theory and applications presented at a conference in honor of Clyde Martin on the occasion of his 60th birthday, held in Lubbock, Texas, November 14-15, 2003.
Author : Alekos Vidras
Publisher : American Mathematical Society
ISBN 13 : 1470471124
Total Pages : 556 pages
Book Rating : 4.4/5 (74 download)
Download or read book Multidimensional Residue Theory and Applications written by Alekos Vidras and published by American Mathematical Society. This book was released on 2023-10-18 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: Residue theory is an active area of complex analysis with connections and applications to fields as diverse as partial differential and integral equations, computer algebra, arithmetic or diophantine geometry, and mathematical physics. Multidimensional Residue Theory and Applications defines and studies multidimensional residues via analytic continuation for holomorphic bundle-valued current maps. This point of view offers versatility and flexibility to the tools and constructions proposed, allowing these residues to be defined and studied outside the classical case of complete intersection. The book goes on to show how these residues are algebraic in nature, and how they relate and apply to a wide range of situations, most notably to membership problems, such as the Briançon–Skoda theorem and Hilbert's Nullstellensatz, to arithmetic intersection theory and to tropical geometry. This book will supersede the existing literature in this area, which dates back more than three decades. It will be appreciated by mathematicians and graduate students in multivariate complex analysis. But thanks to the gentle treatment of the one-dimensional case in Chapter 1 and the rich background material in the appendices, it may also be read by specialists in arithmetic, diophantine, or tropical geometry, as well as in mathematical physics or computer algebra.
Author : Alejandro Maass
Publisher :
ISBN 13 :
Total Pages : 144 pages
Book Rating : 4.E/5 ( download)
Download or read book Information and Randomnes written by Alejandro Maass and published by . This book was released on 2006 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Nancy D. Anderson
Publisher : American Mathematical Soc.
ISBN 13 : 9780821801291
Total Pages : 198 pages
Book Rating : 4.8/5 (12 download)
Download or read book French Mathematical Seminars written by Nancy D. Anderson and published by American Mathematical Soc.. This book was released on 1989 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended for mathematics librarians, the list allows librarians to ascertain if a seminaire has been published, which library has it, and the forms of entry under which it has been cataloged.
Author : Erich Kähler
Publisher : Walter de Gruyter
ISBN 13 : 3110905434
Total Pages : 984 pages
Book Rating : 4.1/5 (19 download)
Download or read book Mathematische Werke / Mathematical Works written by Erich Kähler and published by Walter de Gruyter. This book was released on 2011-07-13 with total page 984 pages. Available in PDF, EPUB and Kindle. Book excerpt: For most mathematicians and many mathematical physicists the name Erich Kähler is strongly tied to important geometric notions such as Kähler metrics, Kähler manifolds and Kähler groups. They all go back to a paper of 14 pages written in 1932. This, however, is just a small part of Kähler's many outstanding achievements which cover an unusually wide area: From celestial mechanics he got into complex function theory, differential equations, analytic and complex geometry with differential forms, and then into his main topic, i.e. arithmetic geometry where he constructed a system of notions which is a precursor and, in large parts, equivalent to the now used system of Grothendieck and Dieudonné. His principal interest was in finding the unity in the variety of mathematical themes and establishing thus mathematics as a universal language. In this volume Kähler's mathematical papers are collected following a "Tribute to Herrn Erich Kähler" by S. S. Chern, an overview of Kähler's life data by A. Bohm and R. Berndt, and a Survey of his Mathematical Work by the editors. There are also comments and reports on the developments of the main topics of Kähler's work, starting by W. Neumann's paper on the topology of hypersurface singularities, J.-P. Bourguignon's report on Kähler geometry and, among others by Berndt, Bost, Deitmar, Ekeland, Kunz and Krieg, up to A. Nicolai's essay "Supersymmetry, Kähler geometry and Beyond". As Kähler's interest went beyond the realm of mathematics and mathematical physics, any picture of his work would be incomplete without touching his work reaching into other regions. So a short appendix reproduces three of his articles concerning his vision of mathematics as a universal Theme together with an essay by K. Maurin giving an "Approach to the philosophy of Erich Kähler".
Author : Matest M. Agrest
Publisher : Springer Science & Business Media
ISBN 13 : 364265021X
Total Pages : 343 pages
Book Rating : 4.6/5 (426 download)
Download or read book Theory of Incomplete Cylindrical Functions and their Applications written by Matest M. Agrest and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: In preparing the English edition of this unique work, every effort has been made to obtain an easily read and lueid exposition of the material. This has frequently been done at the expense of a literal translation of the original text and it is felt that such liberties as have been taken with the author's language are justified in the interest of ease in readingo None of us pretends to be an authority in the Russian language, and we trust that the original intent of the authors has not been lost. The equations, whieh were for the most part taken verbatim from the original work, were eheeked only eursorily; obvious and previously noted errors have been eorreeted. Fortunately, the Russian and English mathematieal notations are generally in good agreement. An exeeption is the shortened abbreviations for the hyperbolie functions (e.g. sh for sinh), and the symbol Jm rather that Im to denote the imaginary part. As near as possible, these diserepaneies have been correeted. In preparing the Bibliography, works having an English equivalent have been translated into the English title, but in the text the referenee to the Russian work was retained, as it was impraetieal to attempt to find in eaeh ease the eorresponding eitation in the English edition. Authors' names and titles associated with purely Russian works have been transliterated as nearly as possible to the English equivalent, along with the equivalent English title of the work cited.
