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Books > Science & Mathematics > Mathematics > Algebra

Analysis and Design of Descriptor Linear Systems (Hardcover, 2010 Ed.): Guang-Ren Duan Analysis and Design of Descriptor Linear Systems (Hardcover, 2010 Ed.)
Guang-Ren Duan
R1,778 Discovery Miles 17 780 Ships in 12 - 19 working days

Descriptor linear systems theory is an important part in the general field of control systems theory, and has attracted much attention in the last two decades. In spite of the fact that descriptor linear systems theory has been a topic very rich in content, there have been only a few books on this topic. This book provides a systematic introduction to the theory of continuous-time descriptor linear systems and aims to provide a relatively systematic introduction to the basic results in descriptor linear systems theory. The clear representation of materials and a large number of examples make this book easy to understand by a large audience. General readers will find in this book a comprehensive introduction to the theory of descriptive linear systems. Researchers will find a comprehensive description of the most recent results in this theory and students will find a good introduction to some important problems in linear systems theory.

Periodic Locally Compact Groups - A Study of a Class of Totally Disconnected Topological Groups (Hardcover): Wolfgang Herfort,... Periodic Locally Compact Groups - A Study of a Class of Totally Disconnected Topological Groups (Hardcover)
Wolfgang Herfort, Karl H. Hofmann, Francesco G. Russo
R4,015 Discovery Miles 40 150 Ships in 12 - 19 working days

This authoritative book on periodic locally compact groups is divided into three parts: The first part covers the necessary background material on locally compact groups including the Chabauty topology on the space of closed subgroups of a locally compact group, its Sylow theory, and the introduction, classifi cation and use of inductively monothetic groups. The second part develops a general structure theory of locally compact near abelian groups, pointing out some of its connections with number theory and graph theory and illustrating it by a large exhibit of examples. Finally, the third part uses this theory for a complete, enlarged and novel presentation of Mukhin's pioneering work generalizing to locally compact groups Iwasawa's early investigations of the lattice of subgroups of abstract groups. Contents Part I: Background information on locally compact groups Locally compact spaces and groups Periodic locally compact groups and their Sylow theory Abelian periodic groups Scalar automorphisms and the mastergraph Inductively monothetic groups Part II: Near abelian groups The definition of near abelian groups Important consequences of the definitions Trivial near abelian groups The class of near abelian groups The Sylow structure of periodic nontrivial near abelian groups and their prime graphs A list of examples Part III: Applications Classifying topologically quasihamiltonian groups Locally compact groups with a modular subgroup lattice Strongly topologically quasihamiltonian groups

ER for Algebra (Hardcover): Kevin Tubbs ER for Algebra (Hardcover)
Kevin Tubbs
R892 Discovery Miles 8 920 Ships in 10 - 15 working days
Theoretical and Computational Physics of Gas Discharge Phenomena - A Mathematical Introduction (Hardcover, 2nd ed. revised and... Theoretical and Computational Physics of Gas Discharge Phenomena - A Mathematical Introduction (Hardcover, 2nd ed. revised and expanded)
Sergey T Surzhikov
R5,806 Discovery Miles 58 060 Ships in 12 - 19 working days

This work concerns the computational modelling of the dynamics of partially ionized gases, with emphasis on electrodischarge processes. Understanding gas discharges is fundamental for many processes in mechanics, manufacturing, materials science, and aerospace engineering. This second edition has been expanded to include the latest developments in the field, especially regarding the drift-diffusion model and rarefied hypersonic flow.

Theory Of Spinors: An Introduction (Hardcover): Moshe Carmeli, Shimon Malin Theory Of Spinors: An Introduction (Hardcover)
Moshe Carmeli, Shimon Malin
R1,645 Discovery Miles 16 450 Ships in 12 - 19 working days

Spinors are used extensively in physics. It is widely accepted that they are more fundamental than tensors, and the easy way to see this is through the results obtained in general relativity theory by using spinors -- results that could not have been obtained by using tensor methods only.

The foundation of the concept of spinors is groups; spinors appear as representations of groups. This textbook expounds the relationship between spinors and representations of groups. As is well known, spinors and representations are both widely used in the theory of elementary particles.

The authors present the origin of spinors from representation theory, but nevertheless apply the theory of spinors to general relativity theory, and part of the book is devoted to curved space-time applications.

Based on lectures given at Ben Gurion University, this textbook is intended for advanced undergraduate and graduate students in physics and mathematics, as well as being a reference for researchers.

Nonlinear Computational Geometry (Hardcover, 2010 ed.): Ioannis Z. Emiris, Frank Sottile, Thorsten Theobald Nonlinear Computational Geometry (Hardcover, 2010 ed.)
Ioannis Z. Emiris, Frank Sottile, Thorsten Theobald
R4,489 Discovery Miles 44 890 Ships in 10 - 15 working days

An original motivation for algebraic geometry was to understand curves and surfaces in three dimensions. Recent theoretical and technological advances in areas such as robotics, computer vision, computer-aided geometric design and molecular biology, together with the increased availability of computational resources, have brought these original questions once more into the forefront of research. One particular challenge is to combine applicable methods from algebraic geometry with proven techniques from piecewise-linear computational geometry (such as Voronoi diagrams and hyperplane arrangements) to develop tools for treating curved objects. These research efforts may be summarized under the term nonlinear computational geometry. This volume grew out of an IMA workshop on Nonlinear Computational Geometry in May/June 2007 (organized by I.Z. Emiris, R. Goldman, F. Sottile, T. Theobald) which gathered leading experts in this emerging field. The research and expository articles in the volume are intended to provide an overview of nonlinear computational geometry. Since the topic involves computational geometry, algebraic geometry, and geometric modeling, the volume has contributions from all of these areas. By addressing a broad range of issues from purely theoretical and algorithmic problems, to implementation and practical applications this volume conveys the spirit of the IMA workshop.

Nonlinear Reaction-Diffusion Processes for Nanocomposites - Anomalous Improved Homogenization (Hardcover): Jesus Ildefonso... Nonlinear Reaction-Diffusion Processes for Nanocomposites - Anomalous Improved Homogenization (Hardcover)
Jesus Ildefonso Diaz, David Gomez-Castro, Tatiana A Shaposhnikova
R3,498 Discovery Miles 34 980 Ships in 12 - 19 working days

The behavior of materials at the nanoscale is a key aspect of modern nanoscience and nanotechnology. This book presents rigorous mathematical techniques showing that some very useful phenomenological properties which can be observed at the nanoscale in many nonlinear reaction-diffusion processes can be simulated and justified mathematically by means of homogenization processes when a certain critical scale is used in the corresponding framework.

Theory of Groups of Finite Order (Hardcover): W Burnside Theory of Groups of Finite Order (Hardcover)
W Burnside
R1,023 Discovery Miles 10 230 Ships in 10 - 15 working days
The Radon Transform - The First 100 Years and Beyond (Hardcover): Ronny Ramlau, Otmar Scherzer The Radon Transform - The First 100 Years and Beyond (Hardcover)
Ronny Ramlau, Otmar Scherzer
R4,648 Discovery Miles 46 480 Ships in 12 - 19 working days

In 1917, Johann Radon published his fundamental work, where he introduced what is now called the Radon transform. Including important contributions by several experts, this book reports on ground-breaking developments related to the Radon transform throughout these years, and also discusses novel mathematical research topics and applications for the next century.

Topological Dynamical Systems - An Introduction to the Dynamics of Continuous Mappings (Hardcover, Digital original): Jan Vries Topological Dynamical Systems - An Introduction to the Dynamics of Continuous Mappings (Hardcover, Digital original)
Jan Vries
R4,633 Discovery Miles 46 330 Ships in 12 - 19 working days

There is no recent elementary introduction to the theory of discrete dynamical systems that stresses the topological background of the topic. This book fills this gap: it deals with this theory as 'applied general topology'. We treat all important concepts needed to understand recent literature. The book is addressed primarily to graduate students. The prerequisites for understanding this book are modest: a certain mathematical maturity and course in General Topology are sufficient.

Knots (Hardcover, 3rd fully revised and extended edition): Gerhard Burde, Heiner Zieschang, Michael Heusener Knots (Hardcover, 3rd fully revised and extended edition)
Gerhard Burde, Heiner Zieschang, Michael Heusener
R4,624 Discovery Miles 46 240 Ships in 12 - 19 working days

This 3. edition is an introduction to classical knot theory. It contains many figures and some tables of invariants of knots. This comprehensive account is an indispensable reference source for anyone interested in both classical and modern knot theory. Most of the topics considered in the book are developed in detail; only the main properties of fundamental groups and some basic results of combinatorial group theory are assumed to be known.

Topological Galois Theory - Solvability and Unsolvability of Equations in Finite Terms (Hardcover, 2014 ed.): Askold Khovanskii Topological Galois Theory - Solvability and Unsolvability of Equations in Finite Terms (Hardcover, 2014 ed.)
Askold Khovanskii; Translated by Vladlen Timorin, Valentina Kiritchenko, Liudmyla Kadets
R4,332 Discovery Miles 43 320 Ships in 12 - 19 working days

This book provides a detailed and largely self-contained description of various classical and new results on solvability and unsolvability of equations in explicit form. In particular, it offers a complete exposition of the relatively new area of topological Galois theory, initiated by the author. Applications of Galois theory to solvability of algebraic equations by radicals, basics of Picard-Vessiot theory, and Liouville's results on the class of functions representable by quadratures are also discussed. A unique feature of this book is that recent results are presented in the same elementary manner as classical Galois theory, which will make the book useful and interesting to readers with varied backgrounds in mathematics, from undergraduate students to researchers. In this English-language edition, extra material has been added (Appendices A-D), the last two of which were written jointly with Yura Burda.

Complex Kleinian Groups (Hardcover, 2013 ed.): Angel Cano, Juan Pablo Navarrete, Jose Seade Complex Kleinian Groups (Hardcover, 2013 ed.)
Angel Cano, Juan Pablo Navarrete, Jose Seade
R1,551 Discovery Miles 15 510 Ships in 10 - 15 working days

This monograph lays down the foundations of the theory of complex Kleinian groups, a newly born area of mathematics whose origin traces back to the work of Riemann, Poincare, Picard and many others. Kleinian groups are, classically, discrete groups of conformal automorphisms of the Riemann sphere, and these can be regarded too as being groups of holomorphic automorphisms of the complex projective line CP1. When going into higher dimensions, there is a dichotomy: Should we look at conformal automorphisms of the n-sphere?, or should we look at holomorphic automorphisms of higher dimensional complex projective spaces? These two theories are different in higher dimensions. In the first case we are talking about groups of isometries of real hyperbolic spaces, an area of mathematics with a long-standing tradition. In the second case we are talking about an area of mathematics that still is in its childhood, and this is the focus of study in this monograph. This brings together several important areas of mathematics, as for instance classical Kleinian group actions, complex hyperbolic geometry, chrystallographic groups and the uniformization problem for complex manifolds. "

Topics in Soliton Theory, Volume 167 (Hardcover): R.W. Carroll Topics in Soliton Theory, Volume 167 (Hardcover)
R.W. Carroll
R5,058 Discovery Miles 50 580 Ships in 12 - 19 working days

When soliton theory, based on water waves, plasmas, fiber optics etc., was developing in the 1960-1970 era it seemed that perhaps KdV (and a few other equations) were really rather special in the set of all interesting partial differential equations. As it turns out, although integrable systems are still special, the mathematical interaction of integrable systems theory with virtually all branches of mathematics (and with many currently developing areas of theoretical physics) illustrates the importance of this area. This book concentrates on developing the theme of the tau function. KdV and KP equations are treated extensively, with material on NLS and AKNS systems, and in following the tau function theme one is led to conformal field theory, strings, and other topics in physics. The extensive list of references contains about 1000 entries.

Kalman Filters - Theory for Advanced Applications (Hardcover): Ginalber Luiz Serra Kalman Filters - Theory for Advanced Applications (Hardcover)
Ginalber Luiz Serra
R3,885 Discovery Miles 38 850 Ships in 10 - 15 working days
On The Role Of Division, Jordan And Related Algebras In Particle Physics (Hardcover): Feza Gursey, Chia-Hsiung Tze On The Role Of Division, Jordan And Related Algebras In Particle Physics (Hardcover)
Feza Gursey, Chia-Hsiung Tze
R4,509 Discovery Miles 45 090 Ships in 10 - 15 working days

This monograph surveys the role of some associative and non-associative algebras, remarkable by their ubiquitous appearance in contemporary theoretical physics, particularly in particle physics. It concerns the interplay between division algebras, specifically quaternions and octonions, between Jordan and related algebras on the one hand, and unified theories of the basic interactions on the other. Selected applications of these algebraic structures are discussed: quaternion analyticity of Yang-Mills instantons, octonionic aspects of exceptional broken gauge, supergravity theories, division algebras in anyonic phenomena and in theories of extended objects in critical dimensions. The topics presented deal primarily with original contributions by the authors.

College Algebra, Hybrid Edition (with WebAssign - Start Smart Guide for Students) (Paperback, 9th edition): Ron Larson College Algebra, Hybrid Edition (with WebAssign - Start Smart Guide for Students) (Paperback, 9th edition)
Ron Larson
R1,272 R1,122 Discovery Miles 11 220 Save R150 (12%) Ships in 10 - 15 working days

This market-leading text continues to provide students and instructors with sound, consistently structured explanations of the mathematical concepts. Designed for a one-term course that prepares students for further study in mathematics, the new ninth edition retains the features that have always made COLLEGE ALGEBRA a complete solution for both students and instructors: interesting applications, pedagogically effective design, and innovative technology combined with an abundance of carefully developed examples and exercises.

Commutative Algebra - Noetherian and Non-Noetherian Perspectives (Hardcover, 2011 ed.): Marco Fontana, Salah-Eddine Kabbaj,... Commutative Algebra - Noetherian and Non-Noetherian Perspectives (Hardcover, 2011 ed.)
Marco Fontana, Salah-Eddine Kabbaj, Bruce Olberding, Irena Swanson
R4,639 Discovery Miles 46 390 Ships in 10 - 15 working days

Commutative algebra is a rapidly growing subject that is developing in many different directions. This volume presents several of the most recent results from various areas related to both Noetherian and non-Noetherian commutative algebra. This volume contains a collection of invited survey articles by some of the leading experts in the field. The authors of these chapters have been carefully selected for their important contributions to an area of commutative-algebraic research. Some topics presented in the volume include: generalizations of cyclic modules, zero divisor graphs, class semigroups, forcing algebras, syzygy bundles, tight closure, Gorenstein dimensions, tensor products of algebras over fields, as well as many others. This book is intended for researchers and graduate students interested in studying the many topics related to commutative algebra.

The Theory of Determinants in the Historical Order of Its Development - Part I. Determinants in General, Leibnitz (1693) to... The Theory of Determinants in the Historical Order of Its Development - Part I. Determinants in General, Leibnitz (1693) to Cayley (1841) (Hardcover)
Thomas Muir
R1,203 Discovery Miles 12 030 Ships in 10 - 15 working days
Levy Processes in Lie Groups (Hardcover, New): Ming Liao Levy Processes in Lie Groups (Hardcover, New)
Ming Liao
R3,398 Discovery Miles 33 980 Ships in 12 - 19 working days

The theory of Levy processes in Lie groups is not merely an extension of the theory of Levy processes in Euclidean spaces. Because of the unique structures possessed by non-commutative Lie groups, these processes exhibit certain interesting limiting properties which are not present for their counterparts in Euclidean spaces. These properties reveal a deep connection between the behaviour of the stochastic processes and the underlying algebraic and geometric structures of the Lie groups themselves. The purpose of this work is to provide an introduction to Levy processes in general Lie groups, the limiting properties of Levy processes in semi-simple Lie groups of non-compact type and the dynamical behavior of such processes as stochastic flows on certain homogeneous spaces. The reader is assumed to be familiar with Lie groups and stochastic analysis, but no prior knowledge of semi-simple Lie groups is required.

Humble Pi - When Math Goes Wrong in the Real World (Paperback): Matt Parker Humble Pi - When Math Goes Wrong in the Real World (Paperback)
Matt Parker
R453 R390 Discovery Miles 3 900 Save R63 (14%) Ships in 10 - 15 working days
A Course in Linear Algebra with Applications (Paperback): Derek John Scott Robinson A Course in Linear Algebra with Applications (Paperback)
Derek John Scott Robinson
R1,239 Discovery Miles 12 390 Ships in 12 - 19 working days
Polynomial Rings and Affine Algebraic Geometry - PRAAG 2018, Tokyo, Japan, February 12 16 (Hardcover, 1st ed. 2020): Shigeru... Polynomial Rings and Affine Algebraic Geometry - PRAAG 2018, Tokyo, Japan, February 12 16 (Hardcover, 1st ed. 2020)
Shigeru Kuroda, Nobuharu Onoda, Gene Freudenburg
R5,126 Discovery Miles 51 260 Ships in 10 - 15 working days

This proceedings volume gathers selected, peer-reviewed works presented at the Polynomial Rings and Affine Algebraic Geometry Conference, which was held at Tokyo Metropolitan University on February 12-16, 2018. Readers will find some of the latest research conducted by an international group of experts on affine and projective algebraic geometry. The topics covered include group actions and linearization, automorphism groups and their structure as infinite-dimensional varieties, invariant theory, the Cancellation Problem, the Embedding Problem, Mathieu spaces and the Jacobian Conjecture, the Dolgachev-Weisfeiler Conjecture, classification of curves and surfaces, real forms of complex varieties, and questions of rationality, unirationality, and birationality. These papers will be of interest to all researchers and graduate students working in the fields of affine and projective algebraic geometry, as well as on certain aspects of commutative algebra, Lie theory, symplectic geometry and Stein manifolds.

Projection Matrices, Generalized Inverse Matrices, and Singular Value Decomposition (Hardcover, 2011 Ed.): Haruo Yanai, Kei... Projection Matrices, Generalized Inverse Matrices, and Singular Value Decomposition (Hardcover, 2011 Ed.)
Haruo Yanai, Kei Takeuchi, Yoshio Takane
R2,888 Discovery Miles 28 880 Ships in 10 - 15 working days

Aside from distribution theory, projections and the singular value decomposition (SVD) are the two most important concepts for understanding the basic mechanism of multivariate analysis. The former underlies the least squares estimation in regression analysis, which is essentially a projection of one subspace onto another, and the latter underlies principal component analysis, which seeks to find a subspace that captures the largest variability in the original space. This book is about projections and SVD. A thorough discussion of generalized inverse (g-inverse) matrices is also given because it is closely related to the former. The book provides systematic and in-depth accounts of these concepts from a unified viewpoint of linear transformations finite dimensional vector spaces. More specially, it shows that projection matrices (projectors) and g-inverse matrices can be defined in various ways so that a vector space is decomposed into a direct-sum of (disjoint) subspaces. Projection Matrices, Generalized Inverse Matrices, and Singular Value Decomposition will be useful for researchers, practitioners, and students in applied mathematics, statistics, engineering, behaviormetrics, and other fields.

Linear Operators and Matrices - The Peter Lancaster Anniversary Volume (Hardcover): Israel Gohberg, Heinz Langer Linear Operators and Matrices - The Peter Lancaster Anniversary Volume (Hardcover)
Israel Gohberg, Heinz Langer
R2,604 Discovery Miles 26 040 Ships in 12 - 19 working days

The book is complemented by biographical information. This volume is dedicated to Peter Lancaster, an outstanding expert in operator and matrix theory, numerical analysis and applications, on the occasion of his seventieth birthday. The book contains a selection of recent original research papers in linear algebra and analysis, areas in which Peter Lancaster was very active. The articles are complemented by biographical data and a list of publications. Contributed volume in honor of Peter Lancaster, an outstanding expert in operator theory, matrix theory and numerical analysis. The articles have been carefully selected and refereed and cover topics in linear algebra and analysis where Peter Lancaster was very active.

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