0
Your cart

Your cart is empty

Browse All Departments
Price
  • R250 - R500 (20)
  • R500+ (1,592)
  • -
Status
Format
Author / Contributor
Publisher

Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry

Introduction to Modular Forms (Paperback, Softcover reprint of the original 1st ed. 1987): Serge Lang Introduction to Modular Forms (Paperback, Softcover reprint of the original 1st ed. 1987)
Serge Lang
R3,611 Discovery Miles 36 110 Ships in 10 - 15 working days

From the reviews "This book gives a thorough introduction to several theories that are fundamental to research on modular forms. Most of the material, despite its importance, had previously been unavailable in textbook form. Complete and readable proofs are given... In conclusion, this book is a welcome addition to the literature for the growing number of students and mathematicians in other fields who want to understand the recent developments in the theory of modular forms."
#"Mathematical Reviews"#
"This book will certainly be indispensable to all those wishing to get an up-to-date initiation to the theory of modular forms."
#"Publicationes Mathematicae"#

Multiplicative Invariant Theory (Paperback, Softcover reprint of hardcover 1st ed. 2005): Martin Lorenz Multiplicative Invariant Theory (Paperback, Softcover reprint of hardcover 1st ed. 2005)
Martin Lorenz
R3,089 Discovery Miles 30 890 Ships in 10 - 15 working days

Multiplicative invariant theory, as a research area in its own right within the wider spectrum of invariant theory, is of relatively recent vintage. The present text offers a coherent account of the basic results achieved thus far..

Multiplicative invariant theory is intimately tied to integral representations of finite groups. Therefore, the field has a predominantly discrete, algebraic flavor. Geometry, specifically the theory of algebraic groups, enters through Weyl groups and their root lattices as well as via character lattices of algebraic tori.

Throughout the text, numerous explicit examples of multiplicative invariant algebras and fields are presented, including the complete list of all multiplicative invariant algebras for lattices of rank 2.

The book is intended for graduate and postgraduate students as well as researchers in integral representation theory, commutative algebra and, mostly, invariant theory.

Algebraic Transformation Groups and Algebraic Varieties - Proceedings of the conference Interesting Algebraic Varieties Arising... Algebraic Transformation Groups and Algebraic Varieties - Proceedings of the conference Interesting Algebraic Varieties Arising in Algebraic Transformation Group Theory held at the Erwin Schroedinger Institute, Vienna, October 22-26, 2001 (Paperback, Softcover reprint of hardcover 1st ed. 2004)
Vladimir Leonidovich Popov
R2,861 Discovery Miles 28 610 Ships in 10 - 15 working days

The book covers topics in the theory of algebraic transformation groups and algebraic varieties which are very much at the frontier of mathematical research.

Topics in Geometry, Coding Theory and Cryptography (Paperback, Softcover reprint of hardcover 1st ed. 2007): Arnaldo Garcia,... Topics in Geometry, Coding Theory and Cryptography (Paperback, Softcover reprint of hardcover 1st ed. 2007)
Arnaldo Garcia, Henning Stichtenoth
R1,500 Discovery Miles 15 000 Ships in 10 - 15 working days

The theory of algebraic function fields over finite fields has its origins in number theory. However, after Goppas discovery of algebraic geometry codes around 1980, many applications of function fields were found in different areas of mathematics and information theory. This book presents survey articles on some of these new developments. The topics focus on material which has not yet been presented in other books or survey articles.

Moufang Polygons (Paperback, Softcover reprint of hardcover 1st ed. 2002): Jacques Tits, Richard M. Weiss Moufang Polygons (Paperback, Softcover reprint of hardcover 1st ed. 2002)
Jacques Tits, Richard M. Weiss
R2,949 Discovery Miles 29 490 Ships in 10 - 15 working days

This book gives the complete classification of Moufang polygons, starting from first principles. In particular, it may serve as an introduction to the various important algebraic concepts which arise in this classification including alternative division rings, quadratic Jordan division algebras of degree three, pseudo-quadratic forms, BN-pairs and norm splittings of quadratic forms. This book also contains a new proof of the classification of irreducible spherical buildings of rank at least three based on the observation that all the irreducible rank two residues of such a building are Moufang polygons. In an appendix, the connection between spherical buildings and algebraic groups is recalled.

Joins and Intersections (Paperback, Softcover reprint of hardcover 1st ed. 1999): H. Flenner, L. O'Carroll, W. Vogel Joins and Intersections (Paperback, Softcover reprint of hardcover 1st ed. 1999)
H. Flenner, L. O'Carroll, W. Vogel
R2,880 Discovery Miles 28 800 Ships in 10 - 15 working days

Dedicated to the memory of Wolfgang Classical Intersection Theory (see for example Wei! [Wei]) treats the case of proper intersections, where geometrical objects (usually subvarieties of a non singular variety) intersect with the expected dimension. In 1984, two books appeared which surveyed and developed work by the individual authors, co workers and others on a refined version of Intersection Theory, treating the case of possibly improper intersections, where the intersection could have ex cess dimension. The first, by W. Fulton [Full] (recently revised in updated form), used a geometrical theory of deformation to the normal cone, more specifically, deformation to the normal bundle followed by moving the zero section to make the intersection proper; this theory was due to the author together with R. MacPherson and worked generally for intersections on algeb raic manifolds. It represents nowadays the standard approach to Intersection Theory. The second, by W. Vogel [Vogl], employed an algebraic approach to inter sections; although restricted to intersections in projective space it produced an intersection cycle by a simple and natural algorithm, thus leading to a Bezout theorem for improper intersections. It was developed together with J. Stiickrad and involved a refined version of the classical technique ofreduc tion to the diagonal: here one starts with the join variety and intersects with successive hyperplanes in general position, laying aside components which fall into the diagonal and intersecting the residual scheme with the next hyperplane; since all the hyperplanes intersect in the diagonal, the process terminates.

Software for Algebraic Geometry (Paperback, Softcover reprint of hardcover 1st ed. 2008): Michael E. Stillman, Nobuki Takayama,... Software for Algebraic Geometry (Paperback, Softcover reprint of hardcover 1st ed. 2008)
Michael E. Stillman, Nobuki Takayama, Jan Verschelde
R2,873 Discovery Miles 28 730 Ships in 10 - 15 working days

Algorithms in algebraic geometry go hand in hand with software packages that implement them. Together they have established the modern field of computational algebraic geometry which has come to play a major role in both theoretical advances and applications. Over the past fifteen years, several excellent general purpose packages for computations in algebraic geometry have been developed, such as, CoCoA, Singular and Macaulay 2. While these packages evolve continuously, incorporating new mathematical advances, they both motivate and demand the creation of new mathematics and smarter algorithms.

This volume reflects the workshop Software for Algebraic Geometry held in the week from 23 to 27 October 2006, as the second workshop in the thematic year on Applications of Algebraic Geometry at the IMA. The papers in this volume describe the software packages Bertini, PHClab, Gfan, DEMiCs, SYNAPS, TrIm, Gambit, ApaTools, and the application of Risa/Asir to a conjecture on multiple zeta values. They offer the reader a broad view of current trends in computational algebraic geometry through software development and applications."

Computational Methods for Algebraic Spline Surfaces - ESF Exploratory Workshop (Paperback, Softcover reprint of hardcover 1st... Computational Methods for Algebraic Spline Surfaces - ESF Exploratory Workshop (Paperback, Softcover reprint of hardcover 1st ed. 2005)
Tor Dokken, Bert Juttler
R2,873 Discovery Miles 28 730 Ships in 10 - 15 working days

This volume contains revised papers that were presented at the international workshop entitled Computational Methods for Algebraic Spline Surfaces ("COMPASS"), which was held from September 29 to October 3, 2003, at Schloss Weinberg, Kefermarkt (A- tria). The workshop was mainly devoted to approximate algebraic geometry and its - plications. The organizers wanted to emphasize the novel idea of approximate implici- zation, that has strengthened the existing link between CAD / CAGD (Computer Aided Geometric Design) and classical algebraic geometry. The existing methods for exact implicitization (i. e., for conversion from the parametric to an implicit representation of a curve or surface) require exact arithmetic and are too slow and too expensive for industrial use. Thus the duality of an implicit representation and a parametric repres- tation is only used for low degree algebraic surfaces such as planes, spheres, cylinders, cones and toroidal surfaces. On the other hand, this duality is a very useful tool for - veloping ef?cient algorithms. Approximate implicitization makes this duality available for general curves and surfaces. The traditional exact implicitization of parametric surfaces produce global rep- sentations, which are exact everywhere. The surface patches used in CAD, however, are always de?ned within a small box only; they are obtained for a bounded parameter domain (typically a rectangle, or - in the case of "trimmed" surface patches - a subset of a rectangle). Consequently, a globally exact representation is not really needed in practice."

Global Aspects of Complex Geometry (Paperback, Softcover reprint of hardcover 1st ed. 2006): Fabrizio Catanese, Helene Esnault,... Global Aspects of Complex Geometry (Paperback, Softcover reprint of hardcover 1st ed. 2006)
Fabrizio Catanese, Helene Esnault, Alan Huckleberry, Klaus Hulek, Thomas Peternell
R2,938 Discovery Miles 29 380 Ships in 10 - 15 working days

This collection of surveys present an overview of recent developments in Complex Geometry. Topics range from curve and surface theory through special varieties in higher dimensions, moduli theory, K hler geometry, and group actions to Hodge theory and characteristic p-geometry.

Written by established experts this book will be a must for mathematicians working in Complex Geometry

Buildings - Theory and Applications (Paperback, Softcover reprint of hardcover 1st ed. 2008): Peter Abramenko, Kenneth S. Brown Buildings - Theory and Applications (Paperback, Softcover reprint of hardcover 1st ed. 2008)
Peter Abramenko, Kenneth S. Brown
R2,030 Discovery Miles 20 300 Ships in 10 - 15 working days

This book treats Jacques Tit's beautiful theory of buildings, making that theory accessible to readers with minimal background. It covers all three approaches to buildings, so that the reader can choose to concentrate on one particular approach. Beginners can use parts of the new book as a friendly introduction to buildings, but the book also contains valuable material for the active researcher.

This book is suitable as a textbook, with many exercises, and it may also be used for self-study.

Elementary Dirichlet Series and Modular Forms (Paperback, Softcover reprint of hardcover 1st ed. 2007): Goro Shimura Elementary Dirichlet Series and Modular Forms (Paperback, Softcover reprint of hardcover 1st ed. 2007)
Goro Shimura
R1,521 Discovery Miles 15 210 Ships in 10 - 15 working days

A book on any mathematical subject beyond the textbook level is of little value unless it contains new ideas and new perspectives. It helps to include new results, provided that they give the reader new insights and are presented along with known old results in a clear exposition. It is with this philosophy that the author writes this volume. The two subjects, Dirichlet series and modular forms, are traditional subjects, but here they are treated in both orthodox and unorthodox ways. Regardless of the unorthodox treatment, the author has made the book accessible to those who are not familiar with such topics by including plenty of expository material.

Computing the Continuous Discretely - Integer-point Enumeration in Polyhedra (Paperback, Softcover reprint of hardcover 1st ed.... Computing the Continuous Discretely - Integer-point Enumeration in Polyhedra (Paperback, Softcover reprint of hardcover 1st ed. 2007)
Matthias Beck, Sinai Robins
R1,399 Discovery Miles 13 990 Ships in 10 - 15 working days

This textbook illuminates the field of discrete mathematics with examples, theory, and applications of the discrete volume of a polytope. The authors have weaved a unifying thread through basic yet deep ideas in discrete geometry, combinatorics, and number theory. We encounter here a friendly invitation to the field of "counting integer points in polytopes," and its various connections to elementary finite Fourier analysis, generating functions, the Frobenius coin-exchange problem, solid angles, magic squares, Dedekind sums, computational geometry, and more. With 250 exercises and open problems, the reader feels like an active participant.

Matroid Theory and Its Applications - Lectures given at a Summer School of the Centro Internazionale Matematico Estivo... Matroid Theory and Its Applications - Lectures given at a Summer School of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Varenna (Como), Italy, August 24 - September 2, 1980 (English, Italian, Paperback, Originally published by C.I.M.E., Ed. Liguori, Napoli & Birkhauser, 1982)
A. Barlotti
R2,059 Discovery Miles 20 590 Ships in 10 - 15 working days

Lectures: T.H. Brylawski: The Tutte polynomial.- D.J.A. Welsh: Matroids and combinatorial optimisation.- Seminars: M. Barnabei, A. Brini, G.-C. Rota: Un introduzione alla teoria delle funzioni di M bius.- A. Brini: Some remarks on the critical problem.- J. Oxley: On 3-connected matroids and graphs.- R. Peele: The poset of subpartitions and Cayley 's formula for the complexity of a complete graph.- A. Recski: Engineering applications of matroids.- T. Zaslavisky: Voltage-graphic matroids.

Algorithms in Algebraic Geometry (Paperback, Softcover reprint of hardcover 1st ed. 2008): Alicia Dickenstein, Frank-Olaf... Algorithms in Algebraic Geometry (Paperback, Softcover reprint of hardcover 1st ed. 2008)
Alicia Dickenstein, Frank-Olaf Schreyer, Andrew J. Sommese
R2,873 Discovery Miles 28 730 Ships in 10 - 15 working days

In the last decade, there has been a burgeoning of activity in the design and implementation of algorithms for algebraic geometric computation. The workshop on Algorithms in Algebraic Geometry that was held in the framework of the IMA Annual Program Year in Applications of Algebraic Geometry by the Institute for Mathematics and Its Applications on September 2006 is one tangible indication of the interest. This volume of articles captures some of the spirit of the IMA workshop.

Standard Monomial Theory - Invariant Theoretic Approach (Paperback, Softcover reprint of hardcover 1st ed. 2008): V.... Standard Monomial Theory - Invariant Theoretic Approach (Paperback, Softcover reprint of hardcover 1st ed. 2008)
V. Lakshmibai, K.N. Raghavan
R3,365 Discovery Miles 33 650 Ships in 10 - 15 working days

Schubert varieties provide an inductive tool for studying flag varieties. This book is mainly a detailed account of a particularly interesting instance of their occurrence: namely, in relation to classical invariant theory. More precisely, it is about the connection between the first and second fundamental theorems of classical invariant theory on the one hand and standard monomial theory for Schubert varieties in certain special flag varieties on the other.

Deformations of Algebraic Schemes (Paperback, Softcover reprint of hardcover 1st ed. 2006): Edoardo Sernesi Deformations of Algebraic Schemes (Paperback, Softcover reprint of hardcover 1st ed. 2006)
Edoardo Sernesi
R4,120 Discovery Miles 41 200 Ships in 10 - 15 working days

This account of deformation theory in classical algebraic geometry over an algebraically closed field presents for the first time some results previously scattered in the literature, with proofs that are relatively little known, yet relevant to algebraic geometers. Many examples are provided. Most of the algebraic results needed are proved. The style of exposition is kept at a level amenable to graduate students with an average background in algebraic geometry.

Mixed Hodge Structures (Paperback, Softcover reprint of hardcover 1st ed. 2008): Chris A.M. Peters, Joseph H. M. Steenbrink Mixed Hodge Structures (Paperback, Softcover reprint of hardcover 1st ed. 2008)
Chris A.M. Peters, Joseph H. M. Steenbrink
R4,158 Discovery Miles 41 580 Ships in 10 - 15 working days

The text of this book has its origins more than twenty- ve years ago. In the seminar of the Dutch Singularity Theory project in 1982 and 1983, the second-named author gave a series of lectures on Mixed Hodge Structures and Singularities, accompanied by a set of hand-written notes. The publication of these notes was prevented by a revolution in the subject due to Morihiko Saito: the introduction of the theory of Mixed Hodge Modules around 1985. Understanding this theory was at the same time of great importance and very hard, due to the fact that it uni es many di erent theories which are quite complicated themselves: algebraic D-modules and perverse sheaves. The present book intends to provide a comprehensive text about Mixed Hodge Theory with a view towards Mixed Hodge Modules. The approach to Hodge theory for singular spaces is due to Navarro and his collaborators, whose results provide stronger vanishing results than Deligne s original theory. Navarro and Guill en also lled a gap in the proof that the weight ltration on the nearby cohomology is the right one. In that sense the present book corrects and completes the second-named author s thesis."

Algorithms in Real Algebraic Geometry (Paperback, Softcover reprint of hardcover 2nd ed. 2006): Saugata Basu, Richard Pollack,... Algorithms in Real Algebraic Geometry (Paperback, Softcover reprint of hardcover 2nd ed. 2006)
Saugata Basu, Richard Pollack, Marie-Francoise Coste-Roy
R2,738 Discovery Miles 27 380 Ships in 10 - 15 working days

This is the first graduate textbook on the algorithmic aspects of real algebraic geometry. The main ideas and techniques presented form a coherent and rich body of knowledge. Mathematicians will find relevant information about the algorithmic aspects. Researchers in computer science and engineering will find the required mathematical background. Being self-contained the book is accessible to graduate students and even, for invaluable parts of it, to undergraduate students. This second edition contains several recent results on discriminants of symmetric matrices and other relevant topics.

Algebraic Function Fields and Codes (Paperback, Softcover reprint of hardcover 2nd ed. 2008): Henning Stichtenoth Algebraic Function Fields and Codes (Paperback, Softcover reprint of hardcover 2nd ed. 2008)
Henning Stichtenoth
R1,791 Discovery Miles 17 910 Ships in 10 - 15 working days

This book links two subjects: algebraic geometry and coding theory. It uses a novel approach based on the theory of algebraic function fields. Coverage includes the Riemann-Rock theorem, zeta functions and Hasse-Weil's theorem as well as Goppa' s algebraic-geometric codes and other traditional codes. It will be useful to researchers in algebraic geometry and coding theory and computer scientists and engineers in information transmission.

Ramanujan's Lost Notebook - Part I (Paperback, Softcover reprint of hardcover 1st ed. 2005): George E. Andrews, Bruce C.... Ramanujan's Lost Notebook - Part I (Paperback, Softcover reprint of hardcover 1st ed. 2005)
George E. Andrews, Bruce C. Berndt
R3,657 Discovery Miles 36 570 Ships in 10 - 15 working days

In the library at Trinity College, Cambridge in 1976, George Andrews of Pennsylvania State University discovered a sheaf of pages in the handwriting of Srinivasa Ramanujan. Soon designated as "Ramanujan 's Lost Notebook," it contains considerable material on mock theta functions and undoubtedly dates from the last year of Ramanujan 's life. In this book, the notebook is presented with additional material and expert commentary.

Arithmetic Geometry - Lectures Given at the C.I.M.E. Summer School Held in Cetraro, Italy, September 10-15, 2007 (English,... Arithmetic Geometry - Lectures Given at the C.I.M.E. Summer School Held in Cetraro, Italy, September 10-15, 2007 (English, French, Paperback, 2010 ed.)
Jean-Louis Colliot-Thelene, Peter Swinnerton-Dyer, Paul Alan Vojta; Edited by Pietro Corvaja, Carlo Gasbarri
R1,503 Discovery Miles 15 030 Ships in 10 - 15 working days

Arithmetic Geometry can be defined as the part of Algebraic Geometry connected with the study of algebraic varieties through arbitrary rings, in particular through non-algebraically closed fields. It lies at the intersection between classical algebraic geometry and number theory. A C.I.M.E. Summer School devoted to arithmetic geometry was held in Cetraro, Italy in September 2007, and presented some of the most interesting new developments in arithmetic geometry. This book collects the lecture notes which were written up by the speakers. The main topics concern diophantine equations, local-global principles, diophantine approximation and its relations to Nevanlinna theory, and rationally connected varieties. The book is divided into three parts, corresponding to the courses given by J-L Colliot-Thelene, Peter Swinnerton Dyer and Paul Vojta.

Fixed Point Theory for Decomposable Sets (Paperback, Softcover reprint of hardcover 1st ed. 2004): Andrzej Fryszkowski Fixed Point Theory for Decomposable Sets (Paperback, Softcover reprint of hardcover 1st ed. 2004)
Andrzej Fryszkowski
R1,504 Discovery Miles 15 040 Ships in 10 - 15 working days

Decomposable sets since T. R. Rockafellar in 1968 are one of basic notions in nonlinear analysis, especially in the theory of multifunctions. A subset K of measurable functions is called decomposable if

(Q) for all and measurable A.

This book attempts to show the present stage of "decomposable analysis" from the point of view of fixed point theory. The book is split into three parts, beginning with the background of functional analysis, proceeding to the theory of multifunctions and lastly, the decomposability property.

Mathematicians and students working in functional, convex and nonlinear analysis, differential inclusions and optimal control should find this book of interest. A good background in fixed point theory is assumed as is a background in topology.

Computational Commutative Algebra 2 (Paperback, Softcover reprint of hardcover 1st ed. 2005): Martin Kreuzer, Lorenzo Robbiano Computational Commutative Algebra 2 (Paperback, Softcover reprint of hardcover 1st ed. 2005)
Martin Kreuzer, Lorenzo Robbiano
R1,609 Discovery Miles 16 090 Ships in 10 - 15 working days

"The second volume of the authors' 'Computational commutative algebra'...covers on its 586 pages a wealth of interesting material with several unexpected applications. ... an encyclopedia on computational commutative algebra, a source for lectures on the subject as well as an inspiration for seminars. The text is recommended for all those who want to learn and enjoy an algebraic tool that becomes more and more relevant to different fields of applications." --ZENTRALBLATT MATH

Several Complex Variables VII - Sheaf-Theoretical Methods in Complex Analysis (Paperback, Softcover reprint of hardcover 1st... Several Complex Variables VII - Sheaf-Theoretical Methods in Complex Analysis (Paperback, Softcover reprint of hardcover 1st ed. 1994)
H. Grauert; Contributions by F. Campana; Edited by Thomas Peternell; Contributions by G. Dethloff; Edited by R. Remmert; Contributions by …
R4,373 Discovery Miles 43 730 Ships in 10 - 15 working days

The first survey of its kind, written by internationally known, outstanding experts who developed substantial parts of the field. The book contains an introduction written by Remmert, describing the history of the subject, and is very useful to graduate students and researchers in complex analysis, algebraic geometry and differential geometry.

Weil Conjectures, Perverse Sheaves and  -adic Fourier Transform (Paperback, Softcover reprint of hardcover 1st ed. 2001):... Weil Conjectures, Perverse Sheaves and -adic Fourier Transform (Paperback, Softcover reprint of hardcover 1st ed. 2001)
Reinhardt Kiehl, Rainer Weissauer
R5,114 Discovery Miles 51 140 Ships in 10 - 15 working days

The authors describe the important generalization of the original Weil conjectures, as given by P. Deligne in his fundamental paper "La conjecture de Weil II." The authors follow the important and beautiful methods of Laumon and Brylinski which lead to a simplification of Deligne's theory. Deligne's work is closely related to the sheaf theoretic theory of perverse sheaves. In this framework Deligne's results on global weights and his notion of purity of complexes obtain a satisfactory and final form. Therefore the authors include the complete theory of middle perverse sheaves. In this part, the l-adic Fourier transform is introduced as a technique providing natural and simple proofs. To round things off, there are three chapters with significant applications of these theories.

Free Delivery
Pinterest Twitter Facebook Google+
You may like...
Chemical Engineering: Solutions to the…
J.R. Backhurst, J.H. Harker, … Paperback R1,433 Discovery Miles 14 330
Lipid Modification by Enzymes and…
Uwe T. Bornscheuer Paperback R5,670 R5,246 Discovery Miles 52 460
Metabolomics in Food and Nutrition
Bart Weimer, Carolyn Slupsky Hardcover R3,734 Discovery Miles 37 340
Comprehensive Gut Microbiota
Maria Glibetic Hardcover R45,472 Discovery Miles 454 720
InSAR Observations of Ground Deformation…
Amy Laura Parker Hardcover R3,481 Discovery Miles 34 810
Polarization Remote Sensing Physics
Lei Yan, Binyang, … Hardcover R5,137 Discovery Miles 51 370
Geospatial Analysis of Public Health
Gouri Sankar Bhunia, Pravat Kumar Shit Hardcover R4,368 Discovery Miles 43 680
Geospatial Technologies in Urban System…
Alok Bhushan Mukherjee, Akhouri Pramod Krishna, … Hardcover R3,912 Discovery Miles 39 120
Fluid-structure Interactions - Models…
Thomas Richter Hardcover R4,488 Discovery Miles 44 880
Deformation Theory of Discontinuous…
Ali Baklouti Hardcover R5,764 Discovery Miles 57 640

 

Partners