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

Rigid Analytic Geometry and Its Applications (Hardcover, 2004 ed.): Jean Fresnel, Marius Van Der Put Rigid Analytic Geometry and Its Applications (Hardcover, 2004 ed.)
Jean Fresnel, Marius Van Der Put
R3,053 Discovery Miles 30 530 Ships in 10 - 15 working days

Rigid (analytic) spaces were invented to describe degenerations, reductions, and moduli of algebraic curves and abelian varieties. This work, a revised and greatly expanded new English edition of an earlier French text by the same authors, presents important new developments and applications of the theory of rigid analytic spaces to abelian varieties, "points of rigid spaces," etale cohomology, Drinfeld modular curves, and Monsky-Washnitzer cohomology. The exposition is concise, self-contained, rich in examples and exercises, and will serve as an excellent graduate-level text for the classroom or for self-study.

Groups, Algebras and Identities (Paperback): Eugene Plotkin Groups, Algebras and Identities (Paperback)
Eugene Plotkin
R3,326 Discovery Miles 33 260 Ships in 12 - 19 working days

This volume contains the proceedings of the Research Workshop of the Israel Science Foundation on Groups, Algebras and Identities, held from March 20-24, 2016, at Bar-Ilan University and the Hebrew University of Jerusalem, Israel, in honor of Boris Plotkin's 90th birthday. The papers in this volume cover various topics of universal algebra, universal algebraic geometry, logic geometry, and algebraic logic, as well as applications of universal algebra to computer science, geometric ring theory, small cancellation theory, and Boolean algebras.

Moduli of K-stable Varieties (Hardcover, 1st ed. 2019): Giulio Codogni, Ruadhai Dervan, Filippo Viviani Moduli of K-stable Varieties (Hardcover, 1st ed. 2019)
Giulio Codogni, Ruadhai Dervan, Filippo Viviani
R2,624 R2,072 Discovery Miles 20 720 Save R552 (21%) Ships in 12 - 19 working days

This volume is an outcome of the workshop "Moduli of K-stable Varieties", which was held in Rome, Italy in 2017. The content focuses on the existence problem for canonical Kahler metrics and links to the algebro-geometric notion of K-stability. The book includes both surveys on this problem, notably in the case of Fano varieties, and original contributions addressing this and related problems. The papers in the latter group develop the theory of K-stability; explore canonical metrics in the Kahler and almost-Kahler settings; offer new insights into the geometric significance of K-stability; and develop tropical aspects of the moduli space of curves, the singularity theory necessary for higher dimensional moduli theory, and the existence of minimal models. Reflecting the advances made in the area in recent years, the survey articles provide an essential overview of many of the most important findings. The book is intended for all advanced graduate students and researchers who want to learn about recent developments in the theory of moduli space, K-stability and Kahler-Einstein metrics.

Modular Invariant Theory (Hardcover, 2011 ed.): H. E. a. Eddy Campbell, David L. Wehlau Modular Invariant Theory (Hardcover, 2011 ed.)
H. E. a. Eddy Campbell, David L. Wehlau
R3,628 Discovery Miles 36 280 Ships in 10 - 15 working days

This book covers the modular invariant theory of finite groups, the case when the characteristic of the field divides the order of the group, a theory that is more complicated than the study of the classical non-modular case. Largely self-contained, the book develops the theory from its origins up to modern results. It explores many examples, illustrating the theory and its contrast with the better understood non-modular setting. It details techniques for the computation of invariants for many modular representations of finite groups, especially the case of the cyclic group of prime order. It includes detailed examples of many topics as well as a quick survey of the elements of algebraic geometry and commutative algebra as they apply to invariant theory. The book is aimed at both graduate students and researchers-an introduction to many important topics in modern algebra within a concrete setting for the former, an exploration of a fascinating subfield of algebraic geometry for the latter.

Arithmetic and Geometry of K3 Surfaces and Calabi-Yau Threefolds (Hardcover, 2013 ed.): Radu Laza, Matthias Schutt, Noriko Yui Arithmetic and Geometry of K3 Surfaces and Calabi-Yau Threefolds (Hardcover, 2013 ed.)
Radu Laza, Matthias Schutt, Noriko Yui
R3,000 Discovery Miles 30 000 Ships in 10 - 15 working days

In recent years, research in K3 surfaces and Calabi-Yau varieties has seen spectacular progress from both arithmetic and geometric points of view, which in turn continues to have a huge influence and impact in theoretical physics-in particular, in string theory. The workshop on Arithmetic and Geometry of K3 surfaces and Calabi-Yau threefolds, held at the Fields Institute (August 16-25, 2011), aimed to give a state-of-the-art survey of these new developments. This proceedings volume includes a representative sampling of the broad range of topics covered by the workshop. While the subjects range from arithmetic geometry through algebraic geometry and differential geometry to mathematical physics, the papers are naturally related by the common theme of Calabi-Yau varieties. With the big variety of branches of mathematics and mathematical physics touched upon, this area reveals many deep connections between subjects previously considered unrelated. Unlike most other conferences, the 2011 Calabi-Yau workshop started with 3 days of introductory lectures. A selection of 4 of these lectures is included in this volume. These lectures can be used as a starting point for the graduate students and other junior researchers, or as a guide to the subject.

Geometric, Algebraic And Topological Methods For Quantum Field Theory - Proceedings Of The 2013 Villa De Leyva Summer School... Geometric, Algebraic And Topological Methods For Quantum Field Theory - Proceedings Of The 2013 Villa De Leyva Summer School (Hardcover)
Alexander Cardona, Hernan Ocampo, Andres F. Reyes-Lega, Leonardo Cano
R5,077 Discovery Miles 50 770 Ships in 12 - 19 working days

Based on lectures held at the 8th edition of the series of summer schools in Villa de Leyva since 1999, this book presents an introduction to topics of current interest at the interface of geometry, algebra, analysis, topology and theoretical physics. It is aimed at graduate students and researchers in physics or mathematics, and offers an introduction to the topics discussed in the two weeks of the summer school: operator algebras, conformal field theory, black holes, relativistic fluids, Lie groupoids and Lie algebroids, renormalization methods, spectral geometry and index theory for pseudo-differential operators.

Meromorphic Functions and Projective Curves (Hardcover, 1999 ed.): Kichoon Yang Meromorphic Functions and Projective Curves (Hardcover, 1999 ed.)
Kichoon Yang
R2,996 Discovery Miles 29 960 Ships in 10 - 15 working days

This book contains an exposition of the theory of meromorphic functions and linear series on a compact Riemann surface. Thus the main subject matter consists of holomorphic maps from a compact Riemann surface to complex projective space. Our emphasis is on families of meromorphic functions and holomorphic curves. Our approach is more geometric than algebraic along the lines of [Griffiths-Harrisl]. AIso, we have relied on the books [Namba] and [Arbarello-Cornalba-Griffiths-Harris] to agreat exten- nearly every result in Chapters 1 through 4 can be found in the union of these two books. Our primary motivation was to understand the totality of meromorphic functions on an algebraic curve. Though this is a classical subject and much is known about meromorphic functions, we felt that an accessible exposition was lacking in the current literature. Thus our book can be thought of as a modest effort to expose parts of the known theory of meromorphic functions and holomorphic curves with a geometric bent. We have tried to make the book self-contained and concise which meant that several major proofs not essential to further development of the theory had to be omitted. The book is targeted at the non-expert who wishes to leam enough about meromorphic functions and holomorphic curves so that helshe will be able to apply the results in hislher own research. For example, a differential geometer working in minimal surface theory may want to tind out more about the distribution pattern of poles and zeros of a meromorphic function.

Applications of Algebraic Geometry to Coding Theory, Physics and Computation (Hardcover, 2001 ed.): Ciro Ciliberto, Friedrich... Applications of Algebraic Geometry to Coding Theory, Physics and Computation (Hardcover, 2001 ed.)
Ciro Ciliberto, Friedrich Hirzebruch, Rick Miranda, Mina Teicher
R3,077 Discovery Miles 30 770 Ships in 10 - 15 working days

An up-to-date report on the current status of important research topics in algebraic geometry and its applications, such as computational algebra and geometry, singularity theory algorithms, numerical solutions of polynomial systems, coding theory, communication networks, and computer vision. Contributions on more fundamental aspects of algebraic geometry include expositions related to counting points on varieties over finite fields, Mori theory, linear systems, Abelian varieties, vector bundles on singular curves, degenerations of surfaces, and mirror symmetry of Calabi-Yau manifolds.

Singular Algebraic Curves - With an Appendix by Oleg Viro (Hardcover, 1st ed. 2018): Gert-Martin Greuel, Christoph Lossen,... Singular Algebraic Curves - With an Appendix by Oleg Viro (Hardcover, 1st ed. 2018)
Gert-Martin Greuel, Christoph Lossen, Eugenii Shustin
R3,529 R2,115 Discovery Miles 21 150 Save R1,414 (40%) Ships in 12 - 19 working days

Singular algebraic curves have been in the focus of study in algebraic geometry from the very beginning, and till now remain a subject of an active research related to many modern developments in algebraic geometry, symplectic geometry, and tropical geometry. The monograph suggests a unified approach to the geometry of singular algebraic curves on algebraic surfaces and their families, which applies to arbitrary singularities, allows one to treat all main questions concerning the geometry of equisingular families of curves, and, finally, leads to results which can be viewed as the best possible in a reasonable sense. Various methods of the cohomology vanishing theory as well as the patchworking construction with its modifications will be of a special interest for experts in algebraic geometry and singularity theory. The introductory chapters on zero-dimensional schemes and global deformation theory can well serve as a material for special courses and seminars for graduate and post-graduate students.Geometry in general plays a leading role in modern mathematics, and algebraic geometry is the most advanced area of research in geometry. In turn, algebraic curves for more than one century have been the central subject of algebraic geometry both in fundamental theoretic questions and in applications to other fields of mathematics and mathematical physics. Particularly, the local and global study of singular algebraic curves involves a variety of methods and deep ideas from geometry, analysis, algebra, combinatorics and suggests a number of hard classical and newly appeared problems which inspire further development in this research area.

Linear and Multilinear Algebra and Function Spaces (Paperback): A. Bourhim Linear and Multilinear Algebra and Function Spaces (Paperback)
A. Bourhim; Contributions by J. Mashreghi; Edited by L. Oubbi, Z. Abdelali
R2,988 Discovery Miles 29 880 Ships in 12 - 19 working days

This volume contains the proceedings of the International Conference on Algebra and Related Topics, held from July 2-5, 2018, at Mohammed V University, Rabat, Morocco. Linear reserver problems demand the characterization of linear maps between algebras that leave invariant certain properties or certain subsets or relations. One of the most intractable unsolved problems in is Kaplansky's conjecture: every surjective unital invertibility preserving linear map between two semisimple Banach algebras is a Jordan homomorphism. Recently, there has been an upsurge of interest in nonlinear preservers, where the maps studied are no longer assumed linear but instead a weak algebraic condition is somehow involved through the preserving property. This volume contains several articles on various aspects of preservers, including such topics as Jordan isomorphisms, Aluthge transform, joint numerical radius on $C^*$-algebras, advertible complete algebras, and Gelfand-Mazur algebras. The volume also contains a survey on recent progress on local spectrum-preserving maps. Several articles in the volume present results about weighted spaces and algebras of holomorphic or harmonic functions, including biduality in weighted spaces of analytic functions, interpolation in the analytic Wiener algebra, and weighted composition operators on non-locally convex weighted spaces.

Approximation and Computation in Science and Engineering (Hardcover, 1st ed. 2022): Nicholas J. Daras, Themistocles M. Rassias Approximation and Computation in Science and Engineering (Hardcover, 1st ed. 2022)
Nicholas J. Daras, Themistocles M. Rassias
R3,835 Discovery Miles 38 350 Ships in 10 - 15 working days

In recent years, extensive research has been conducted by eminent mathematicians and engineers whose results and proposed problems are presented in this new volume. It is addressed to graduate students, research mathematicians, physicists, and engineers. Individual contributions are devoted to topics of approximation theory, functional equations and inequalities, fixed point theory, numerical analysis, theory of wavelets, convex analysis, topology, operator theory, differential operators, fractional integral operators, integro-differential equations, ternary algebras, super and hyper relators, variational analysis, discrete mathematics, cryptography, and a variety of applications in interdisciplinary topics. Several of these domains have a strong connection with both theories and problems of linear and nonlinear optimization. The combination of results from various domains provides the reader with a solid, state-of-the-art interdisciplinary reference to theory and problems. Some of the works provide guidelines for further research and proposals for new directions and open problems with relevant discussions.

On Quaternions and Octonions - Their Geometry, Arithmetic, and Symmetry (Hardcover): John H. Conway, Derek A. Smith On Quaternions and Octonions - Their Geometry, Arithmetic, and Symmetry (Hardcover)
John H. Conway, Derek A. Smith
R3,356 Discovery Miles 33 560 Ships in 9 - 17 working days

This book investigates the geometry of the quaternion and octonion algebras. Following a comprehensive historical introduction, the special properties of 3- and 4-dimensional Euclidean spaces are illuminated using quaternions, leading to enumerations of the corresponding finite groups of symmetries. The second half of the book discusses the less familiar octonion algebra, concentrating on its remarkable "triality symmetry" after an appropriate study of Moufang loops. The arithmetics of the quaternions and octonions are also described, and the book concludes with a new theory of octonion factorization. Topics covered include: - history - the geometry of complex numbers - quaternions and 3-dimensional groups - quaternions and 4-dimensional groups - the Hurwitz integral quaternions - the composition algebras - Moufang loops - octonions and 8-dimensional geometry - integral octonions - the octonion projective plane

Trends in Singularities (Hardcover, 2002 ed.): Anatoly Libgober, Mihai Tibar Trends in Singularities (Hardcover, 2002 ed.)
Anatoly Libgober, Mihai Tibar
R1,668 Discovery Miles 16 680 Ships in 10 - 15 working days

The collection of papers in this volume represents recent advances in the under standing of the geometry and topology of singularities. The book covers a broad range of topics which are in the focus of contemporary singularity theory. Its idea emerged during two Singularities workshops held at the University of Lille (USTL) in 1999 and 2000. Due to the breadth of singularity theory, a single volume can hardly give the complete picture of today's progress. Nevertheless, this collection of papers provides a good snapshot of what is the state of affairs in the field, at the turn of the century. Several papers deal with global aspects of singularity theory. Classification of fam ilies of plane curves with prescribed singularities were among the first problems in algebraic geometry. Classification of plane cubics was known to Newton and classification of quartics was achieved by Klein at the end of the 19th century. The problem of classification of curves of higher degrees was addressed in numerous works after that. In the paper by Artal, Carmona and Cogolludo, the authors de scribe irreducible sextic curves having a singular point of type An (n > 15) and a large (Le. , :::: 18) sum of Milnor numbers of other singularities. They have discov ered many interesting properties of these families. In particular they have found new examples of so-called Zariski pairs, i. e.

Perfectoid Spaces (Hardcover, 1st ed. 2022): Debargha Banerjee, Kiran S. Kedlaya, Ehud De Shalit, Chitrabhanu Chaudhuri Perfectoid Spaces (Hardcover, 1st ed. 2022)
Debargha Banerjee, Kiran S. Kedlaya, Ehud De Shalit, Chitrabhanu Chaudhuri
R1,821 Discovery Miles 18 210 Ships in 12 - 19 working days

This book contains selected chapters on perfectoid spaces, their introduction and applications, as invented by Peter Scholze in his Fields Medal winning work. These contributions are presented at the conference on "Perfectoid Spaces" held at the International Centre for Theoretical Sciences, Bengaluru, India, from 9-20 September 2019. The objective of the book is to give an advanced introduction to Scholze's theory and understand the relation between perfectoid spaces and some aspects of arithmetic of modular (or, more generally, automorphic) forms such as representations mod p, lifting of modular forms, completed cohomology, local Langlands program, and special values of L-functions. All chapters are contributed by experts in the area of arithmetic geometry that will facilitate future research in the direction.

Spectra of Graphs (Hardcover, 2012): Andries E. Brouwer, Willem H. Haemers Spectra of Graphs (Hardcover, 2012)
Andries E. Brouwer, Willem H. Haemers
R2,185 Discovery Miles 21 850 Ships in 9 - 17 working days

This book gives an elementary treatment of the basic material about graph spectra, both for ordinary, and Laplace and Seidel spectra. The text progresses systematically, by covering standard topics before presenting some new material on trees, strongly regular graphs, two-graphs, association schemes, p-ranks of configurations and similar topics. Exercises at the end of each chapter provide practice and vary from easy yet interesting applications of the treated theory, to little excursions into related topics. Tables, references at the end of the book, an author and subject index enrich the text.

"Spectra of Graphs" is written for researchers, teachers and graduate students interested in graph spectra. The reader is assumed to be familiar with basic linear algebra and eigenvalues, although some more advanced topics in linear algebra, like the Perron-Frobenius theorem and eigenvalue interlacing are included."

Fiber Bundles and Homotopy (Hardcover): Dai Tamaki Fiber Bundles and Homotopy (Hardcover)
Dai Tamaki
R3,082 Discovery Miles 30 820 Ships in 10 - 15 working days

This book is an introduction to fiber bundles and fibrations. But the ultimate goal is to make the reader feel comfortable with basic ideas in homotopy theory. The author found that the classification of principal fiber bundles is an ideal motivation for this purpose. The notion of homotopy appears naturally in the classification. Basic tools in homotopy theory such as homotopy groups and their long exact sequence need to be introduced. Furthermore, the notion of fibrations, which is one of three important classes of maps in homotopy theory, can be obtained by extracting the most essential properties of fiber bundles. The book begins with elementary examples and then gradually introduces abstract definitions when necessary. The reader is assumed to be familiar with point-set topology, but it is the only requirement for this book.

Algebraic Curves - Towards Moduli Spaces (Hardcover, 1st ed. 2018): Maxim E. Kazaryan, Sergei K Lando, Victor V. Prasolov Algebraic Curves - Towards Moduli Spaces (Hardcover, 1st ed. 2018)
Maxim E. Kazaryan, Sergei K Lando, Victor V. Prasolov; Translated by Natalia Tsilevich
R1,767 R1,186 Discovery Miles 11 860 Save R581 (33%) Ships in 12 - 19 working days

This book offers a concise yet thorough introduction to the notion of moduli spaces of complex algebraic curves. Over the last few decades, this notion has become central not only in algebraic geometry, but in mathematical physics, including string theory, as well. The book begins by studying individual smooth algebraic curves, including the most beautiful ones, before addressing families of curves. Studying families of algebraic curves often proves to be more efficient than studying individual curves: these families and their total spaces can still be smooth, even if there are singular curves among their members. A major discovery of the 20th century, attributed to P. Deligne and D. Mumford, was that curves with only mild singularities form smooth compact moduli spaces. An unexpected byproduct of this discovery was the realization that the analysis of more complex curve singularities is not a necessary step in understanding the geometry of the moduli spaces. The book does not use the sophisticated machinery of modern algebraic geometry, and most classical objects related to curves - such as Jacobian, space of holomorphic differentials, the Riemann-Roch theorem, and Weierstrass points - are treated at a basic level that does not require a profound command of algebraic geometry, but which is sufficient for extending them to vector bundles and other geometric objects associated to moduli spaces. Nevertheless, it offers clear information on the construction of the moduli spaces, and provides readers with tools for practical operations with this notion. Based on several lecture courses given by the authors at the Independent University of Moscow and Higher School of Economics, the book also includes a wealth of problems, making it suitable not only for individual research, but also as a textbook for undergraduate and graduate coursework

Complex Analysis and Algebraic Geometry - A Volume in Memory of Michael Schneider (Hardcover, Reprint 2016): Thomas Peternell,... Complex Analysis and Algebraic Geometry - A Volume in Memory of Michael Schneider (Hardcover, Reprint 2016)
Thomas Peternell, Frank-Olaf Schreyer
R6,389 Discovery Miles 63 890 Ships in 12 - 19 working days

Without an introduction, this volume of 19 papers plunges right into the subject matter presented at the June 1998 symposium held at Bayreuth U. in Bayreuth, Germany. A sampling of topics: almost-lines and quasi-lines on projective manifolds, the classification of K3 surfaces with nine cusps, simply connected Godeaux surfaces, Kahlerian structures on symplectic reductions, and A geometric proof of Ax' theorem. One paper is in untranslated French. Includes an essay on Michael Schneider's scientific work with a publications list (including his still standard reference on vector bundles on projective spaces); a photograph and "alpine" vita of Schneider (who died while sports-climbing in 1997); a list of the eight symposium lectures; and a listing of the authors and participants with contact information. Lacks an index.

Beauville Surfaces and Groups (Hardcover, 2015 ed.): Ingrid Bauer, Shelly Garion, Alina Vdovina Beauville Surfaces and Groups (Hardcover, 2015 ed.)
Ingrid Bauer, Shelly Garion, Alina Vdovina
R3,804 R3,522 Discovery Miles 35 220 Save R282 (7%) Ships in 12 - 19 working days

This collection of surveys and research articles explores a fascinating class of varieties: Beauville surfaces. It is the first time that these objects are discussed from the points of view of algebraic geometry as well as group theory. The book also includes various open problems and conjectures related to these surfaces. Beauville surfaces are a class of rigid regular surfaces of general type, which can be described in a purely algebraic combinatoric way. They play an important role in different fields of mathematics like algebraic geometry, group theory and number theory. The notion of Beauville surface was introduced by Fabrizio Catanese in 2000 and after the first systematic study of these surfaces by Ingrid Bauer, Fabrizio Catanese and Fritz Grunewald, there has been an increasing interest in the subject. These proceedings reflect the topics of the lectures presented during the workshop 'Beauville surfaces and groups 2012', held at Newcastle University, UK in June 2012. This conference brought together, for the first time, experts of different fields of mathematics interested in Beauville surfaces.

Theory of Spinors and Its Application in Physics and Mechanics (Hardcover, 1st ed. 2019): Vladimir A. Zhelnorovich Theory of Spinors and Its Application in Physics and Mechanics (Hardcover, 1st ed. 2019)
Vladimir A. Zhelnorovich
R4,166 Discovery Miles 41 660 Ships in 10 - 15 working days

This book contains a systematic exposition of the theory of spinors in finite-dimensional Euclidean and Riemannian spaces. The applications of spinors in field theory and relativistic mechanics of continuous media are considered. The main mathematical part is connected with the study of invariant algebraic and geometric relations between spinors and tensors. The theory of spinors and the methods of the tensor representation of spinors and spinor equations are thoroughly expounded in four-dimensional and three-dimensional spaces. Very useful and important relations are derived that express the derivatives of the spinor fields in terms of the derivatives of various tensor fields. The problems associated with an invariant description of spinors as objects that do not depend on the choice of a coordinate system are addressed in detail. As an application, the author considers an invariant tensor formulation of certain classes of differential spinor equations containing, in particular, the most important spinor equations of field theory and quantum mechanics. Exact solutions of the Einstein-Dirac equations, nonlinear Heisenberg's spinor equations, and equations for relativistic spin fluids are given. The book presents a large body of factual material and is suited for use as a handbook. It is intended for specialists in theoretical physics, as well as for students and post-graduate students of physical and mathematical specialties.

Algebra: Chapter 0 (Paperback): Paolo Aluffi Algebra: Chapter 0 (Paperback)
Paolo Aluffi
R2,298 Discovery Miles 22 980 Ships in 12 - 19 working days

Algebra: Chapter 0 is a self-contained introduction to the main topics of algebra, suitable for a first sequence on the subject at the beginning graduate or upper undergraduate level. The primary distinguishing feature of the book, compared to standard textbooks in algebra, is the early introduction of categories, used as a unifying theme in the presentation of the main topics. A second feature consists of an emphasis on homological algebra: basic notions on complexes are presented as soon as modules have been introduced, and an extensive last chapter on homological algebra can form the basis for a follow-up introductory course on the subject. Approximately 1,000 exercises both provide adequate practice to consolidate the understanding of the main body of the text and offer the opportunity to explore many other topics, including applications to number theory and algebraic geometry. This will allow instructors to adapt the textbook to their specific choice of topics and provide the independent reader with a richer exposure to algebra. Many exercises include substantial hints, and navigation of the topics is facilitated by an extensive index and by hundreds of cross-references.

Algebra 3 - Homological Algebra and Its Applications (Hardcover, 1st ed. 2021): Ramji, Lal Algebra 3 - Homological Algebra and Its Applications (Hardcover, 1st ed. 2021)
Ramji, Lal
R1,558 Discovery Miles 15 580 Ships in 10 - 15 working days

This book, the third book in the four-volume series in algebra, deals with important topics in homological algebra, including abstract theory of derived functors, sheaf co-homology, and an introduction to etale and l-adic co-homology. It contains four chapters which discuss homology theory in an abelian category together with some important and fundamental applications in geometry, topology, algebraic geometry (including basics in abstract algebraic geometry), and group theory. The book will be of value to graduate and higher undergraduate students specializing in any branch of mathematics. The author has tried to make the book self-contained by introducing relevant concepts and results required. Prerequisite knowledge of the basics of algebra, linear algebra, topology, and calculus of several variables will be useful.

Polyhedra and Beyond - Contributions from Geometrias'19, Porto, Portugal, September 05-07 (Hardcover, 1st ed. 2022): Vera... Polyhedra and Beyond - Contributions from Geometrias'19, Porto, Portugal, September 05-07 (Hardcover, 1st ed. 2022)
Vera Viana, Helena Mena Matos, Joao Pedro Xavier
R2,859 Discovery Miles 28 590 Ships in 12 - 19 working days

This volume collects papers based on talks given at the conference "Geometrias'19: Polyhedra and Beyond", held in the Faculty of Sciences of the University of Porto between September 5-7, 2019 in Portugal. These papers explore the conference's theme from an interdisciplinary standpoint, all the while emphasizing the relevance of polyhedral geometry in contemporary academic research and professional practice. They also investigate how this topic connects to mathematics, art, architecture, computer science, and the science of representation. Polyhedra and Beyond will help inspire scholars, researchers, professionals, and students of any of these disciplines to develop a more thorough understanding of polyhedra.

Complex Tori (Hardcover, 1999 ed.): Herbert Lange, Christina Birkenhake Complex Tori (Hardcover, 1999 ed.)
Herbert Lange, Christina Birkenhake
R3,030 Discovery Miles 30 300 Ships in 10 - 15 working days

This work is at the crossroads of a number of mathematical areas, including algebraic geometry, several complex variables, differential geometry, and representation theory. It is the first book to cover complex tori, among the simplest of complex manifolds, which are important to research in the above areas. The book gives a systematic approach to the theory, presents new results, and includes an up-to-date bibliography.

An Introduction to Tensor Analysis (Hardcover): Bipin Singh Koranga, Sanjay Kumar Padaliya An Introduction to Tensor Analysis (Hardcover)
Bipin Singh Koranga, Sanjay Kumar Padaliya
R2,416 Discovery Miles 24 160 Ships in 12 - 19 working days

The subject of Tensor Analysis deals with the problem of the formulation of the relation between various entities in forms which remain invariant when we pass from one system of coordinates to another. The invariant form of equation is necessarily related to the possible system of coordinates with reference to which the equation remains invariant. The primary purpose of this book is the study of the invariance form of equation relative to the totally of the rectangular co-ordinate system in the three-dimensional Euclidean space. We start with the consideration of the way the sets representing various entities are transformed when we pass from one system of rectangular co-ordinates to another. A Tensor may be a physical entity that can be described as a Tensor only with respect to the manner of its representation by means of multi-sux sets associated with different system of axes such that the sets associated with different system of co-ordinate obey the transformation law for Tensor. We have employed sux notation for tensors of any order, we could also employ single letter such A,B to denote Tensors.

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