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Books > Science & Mathematics > Mathematics > Algebra > General

Modern Computational Aeroelasticity (Hardcover): Min Xu, Xiaomin An, Wei Kang, Guangning Li Modern Computational Aeroelasticity (Hardcover)
Min Xu, Xiaomin An, Wei Kang, Guangning Li; Contributions by National Defense Industry Press
R4,423 Discovery Miles 44 230 Ships in 12 - 19 working days

The book provides a state-of-art overview of computational methods for nonlinear aeroelasticity and load analysis, focusing on key techniques and fundamental principles for CFD/CSD coupling in temporal domain. CFD/CSD coupling software design and applications of CFD/CSD coupling techniques are discussed in detail as well. It is an essential reference for researchers and students in mechanics and applied mathematics.

An Algebraic Introduction to K-Theory (Hardcover): Bruce A. Magurn An Algebraic Introduction to K-Theory (Hardcover)
Bruce A. Magurn
R5,253 Discovery Miles 52 530 Ships in 12 - 19 working days

This book is both an introduction to K-theory and a text in algebra. These two roles are entirely compatible. On the one hand, nothing more than the basic algebra of groups, rings, and modules is needed to explain the clasical algebraic K-theory. On the other hand, K-theory is a natural organizing principle for the standard topics of a second course in algebra, and these topics are presented carefully here. The reader will not only learn algebraic K-theory, but also Dedekind domains, class groups, semisimple rings, character theory, quadratic forms, tensor products, localization, completion, tensor algebras, symmetric algebras, exterior algebras, central simple algebras, and Brauer groups. The presentation is self-contained, with all the necessary background and proofs, and is divided into short sections with exercises to reinforce the ideas and suggest further lines of inquiry. The prerequisites are minimal: just a first semester of algebra (including Galois theory and modules over a principal ideal domain). No experience with homological algebra, analysis, geometry, number theory, or topology is assumed. The author has successfuly used this text to teach algebra to first year graduate students. Selected topics can be used to construct a variety of one-semester courses; coverage of the entire text requires a full year.

Optimal Structural Design - Contact Problems and High-Speed Penetration (Hardcover): Nikolay V Banichuk, Svetlana Yu Ivanova Optimal Structural Design - Contact Problems and High-Speed Penetration (Hardcover)
Nikolay V Banichuk, Svetlana Yu Ivanova
R3,863 Discovery Miles 38 630 Ships in 12 - 19 working days

This monograph studies optimization problems for rigid punches in elastic media and for high-speed penetration of rigid strikers into deformed elastoplastic, concrete, and composite media using variational calculations, tools from functional analysis, and stochastic and min-max (guaranteed) optimization approaches with incomplete data. The book presents analytical and numerical results developed by the authors during the last ten years.

Chebyshev Splines and Kolmogorov Inequalities (Hardcover): Sergey Bagdasarov Chebyshev Splines and Kolmogorov Inequalities (Hardcover)
Sergey Bagdasarov
R2,584 Discovery Miles 25 840 Ships in 12 - 19 working days

This monograph describes advances in the theory of extremal problems in classes of functions defined by a majorizing modulus of continuity w. In particular, an extensive account is given of structural, limiting, and extremal properties of perfect w-splines generalizing standard polynomial perfect splines in the theory of Sobolev classes. In this context special attention is paid to the qualitative description of Chebyshev w-splines and w-polynomials associated with the Kolmogorov problem of n-widths and sharp additive inequalities between the norms of intermediate derivatives in functional classes with a bounding modulus of continuity. Since, as a rule, the techniques of the theory of Sobolev classes are inapplicable in such classes, novel geometrical methods are developed based on entirely new ideas. The book can be used profitably by pure or applied scientists looking for mathematical approaches to the solution of practical problems for which standard methods do not work. The scope of problems treated in the monograph, ranging from the maximization of integral functionals, characterization of the structure of equimeasurable functions, construction of Chebyshev splines through applications of fixed point theorems to the solution of integral equations related to the classical Euler equation, appeals to mathematicians specializing in approximation theory, functional and convex analysis, optimization, topology, and integral equations

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High School Algebra [microform] (Hardcover): J T (John Thomas) 1864-1 Crawford High School Algebra [microform] (Hardcover)
J T (John Thomas) 1864-1 Crawford
R1,041 Discovery Miles 10 410 Ships in 12 - 19 working days
Mathematical Models in Biology - Bringing Mathematics to Life (Hardcover, 1st ed. 2015): Valeria Zazzu, Maria Brigida Ferraro,... Mathematical Models in Biology - Bringing Mathematics to Life (Hardcover, 1st ed. 2015)
Valeria Zazzu, Maria Brigida Ferraro, Mario R. Guarracino
R3,220 R1,969 Discovery Miles 19 690 Save R1,251 (39%) Ships in 12 - 19 working days

This book presents an exciting collection of contributions based on the workshop "Bringing Maths to Life" held October 27-29, 2014 in Naples, Italy. The state-of-the art research in biology and the statistical and analytical challenges facing huge masses of data collection are treated in this Work. Specific topics explored in depth surround the sessions and special invited sessions of the workshop and include genetic variability via differential expression, molecular dynamics and modeling, complex biological systems viewed from quantitative models, and microscopy images processing, to name several. In depth discussions of the mathematical analysis required to extract insights from complex bodies of biological datasets, to aid development in the field novel algorithms, methods and software tools for genetic variability, molecular dynamics, and complex biological systems are presented in this book. Researchers and graduate students in biology, life science, and mathematics/statistics will find the content useful as it addresses existing challenges in identifying the gaps between mathematical modeling and biological research. The shared solutions will aid and promote further collaboration between life sciences and mathematics.

Optimal Methods for Ill-Posed Problems - With Applications to Heat Conduction (Hardcover): Vitalii P Tanana, Anna I. Sidikova Optimal Methods for Ill-Posed Problems - With Applications to Heat Conduction (Hardcover)
Vitalii P Tanana, Anna I. Sidikova
R3,369 Discovery Miles 33 690 Ships in 12 - 19 working days

The book covers fundamentals of the theory of optimal methods for solving ill-posed problems, as well as ways to obtain accurate and accurate-by-order error estimates for these methods. The methods described in the current book are used to solve a number of inverse problems in mathematical physics. Contents Modulus of continuity of the inverse operator and methods for solving ill-posed problems Lavrent'ev methods for constructing approximate solutions of linear operator equations of the first kind Tikhonov regularization method Projection-regularization method Inverse heat exchange problems

Structure-Preserving Doubling Algorithms for Nonlinear Matrix Equations (Paperback): Tsung-Ming Huang, Ren-Cang Li, Wen-Wei Lin Structure-Preserving Doubling Algorithms for Nonlinear Matrix Equations (Paperback)
Tsung-Ming Huang, Ren-Cang Li, Wen-Wei Lin
R1,744 Discovery Miles 17 440 Ships in 12 - 19 working days

Nonlinear matrix equations arise frequently in applied science and engineering. This is the first book to provide a unified treatment of structure-preserving doubling algorithms, which have been recently studied and proven effective for notoriously challenging problems, such as fluid queue theory and vibration analysis for high-speed trains. The authors present recent developments and results for the theory of doubling algorithms for nonlinear matrix equations associated with regular matrix pencils, and highlight the use of these algorithms in achieving robust solutions for notoriously challenging problems that other methods cannot. Structure-Preserving Doubling Algorithms for Nonlinear Matrix Equations is intended for researchers and computational scientists. Graduate students may also find it of interest.

Conceptual Exploration (Hardcover, 1st ed. 2016): Bernhard Ganter, Sergei Obiedkov Conceptual Exploration (Hardcover, 1st ed. 2016)
Bernhard Ganter, Sergei Obiedkov
R5,370 Discovery Miles 53 700 Ships in 12 - 19 working days

This is the first textbook on attribute exploration, its theory, its algorithms forapplications, and some of its many possible generalizations. Attribute explorationis useful for acquiring structured knowledge through an interactive process, byasking queries to an expert. Generalizations that handle incomplete, faulty, orimprecise data are discussed, but the focus lies on knowledge extraction from areliable information source.The method is based on Formal Concept Analysis, a mathematical theory ofconcepts and concept hierarchies, and uses its expressive diagrams. The presentationis self-contained. It provides an introduction to Formal Concept Analysiswith emphasis on its ability to derive algebraic structures from qualitative data,which can be represented in meaningful and precise graphics.

The First Steps in Algebra (Hardcover): G. A. Wentworth The First Steps in Algebra (Hardcover)
G. A. Wentworth
R847 Discovery Miles 8 470 Ships in 10 - 15 working days
Ring Theory, 83 - Student Edition (Hardcover, Student Ed): Louis H Rowen Ring Theory, 83 - Student Edition (Hardcover, Student Ed)
Louis H Rowen
R2,089 R1,467 Discovery Miles 14 670 Save R622 (30%) Ships in 12 - 19 working days

This is an abridged edition of the author's previous two-volume work, Ring Theory, which concentrates on essential material for a general ring theory course while ommitting much of the material intended for ring theory specialists. It has been praised by reviewers: **"As a textbook for graduate students, Ring Theory joins the best....The experts will find several attractive and pleasant features in Ring Theory. The most noteworthy is the inclusion, usually in supplements and appendices, of many useful constructions which are hard to locate outside of the original sources....The audience of nonexperts, mathematicians whose speciality is not ring theory, will find Ring Theory ideally suited to their needs....They, as well as students, will be well served by the many examples of rings and the glossary of major results."**--NOTICES OF THE AM

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 R397 Discovery Miles 3 970 Save R56 (12%) Ships in 10 - 15 working days
C*-Algebras and Operator Theory (Hardcover): Gerald J. Murphy C*-Algebras and Operator Theory (Hardcover)
Gerald J. Murphy
R2,176 R1,516 Discovery Miles 15 160 Save R660 (30%) Ships in 12 - 19 working days

This book constitutes a first- or second-year graduate course in operator theory. It is a field that has great importance for other areas of mathematics and physics, such as algebraic topology, differential geometry, and quantum mechanics. It assumes a basic knowledge in functional analysis but no prior acquaintance with operator theory is required.

Ulrich Bundles - From Commutative Algebra to Algebraic Geometry (Hardcover): Laura Costa, Rosa Maria Miro-Roig, Joan Pons-Llopis Ulrich Bundles - From Commutative Algebra to Algebraic Geometry (Hardcover)
Laura Costa, Rosa Maria Miro-Roig, Joan Pons-Llopis
R4,143 Discovery Miles 41 430 Ships in 12 - 19 working days

The goal of this book is to cover the active developments of arithmetically Cohen-Macaulay and Ulrich bundles and related topics in the last 30 years, and to present relevant techniques and multiple applications of the theory of Ulrich bundles to a wide range of problems in algebraic geometry as well as in commutative algebra.

Algebra I - Textbook for Students of Mathematics (Hardcover, 1st ed. 2016): Alexey L. Gorodentsev Algebra I - Textbook for Students of Mathematics (Hardcover, 1st ed. 2016)
Alexey L. Gorodentsev
R2,240 Discovery Miles 22 400 Ships in 12 - 19 working days

This book is the first volume of an intensive "Russian-style" two-year graduate course in abstract algebra, and introduces readers to the basic algebraic structures - fields, rings, modules, algebras, groups, and categories - and explains the main principles of and methods for working with them. The course covers substantial areas of advanced combinatorics, geometry, linear and multilinear algebra, representation theory, category theory, commutative algebra, Galois theory, and algebraic geometry - topics that are often overlooked in standard undergraduate courses. This textbook is based on courses the author has conducted at the Independent University of Moscow and at the Faculty of Mathematics in the Higher School of Economics. The main content is complemented by a wealth of exercises for class discussion, some of which include comments and hints, as well as problems for independent study.

Applied and Computational Matrix Analysis - MAT-TRIAD, Coimbra, Portugal, September 2015 Selected, Revised Contributions... Applied and Computational Matrix Analysis - MAT-TRIAD, Coimbra, Portugal, September 2015 Selected, Revised Contributions (Hardcover, 1st ed. 2017)
Natalia Bebiano
R5,059 Discovery Miles 50 590 Ships in 12 - 19 working days

This volume presents recent advances in the field of matrix analysis based on contributions at the MAT-TRIAD 2015 conference. Topics covered include interval linear algebra and computational complexity, Birkhoff polynomial basis, tensors, graphs, linear pencils, K-theory and statistic inference, showing the ubiquity of matrices in different mathematical areas. With a particular focus on matrix and operator theory, statistical models and computation, the International Conference on Matrix Analysis and its Applications 2015, held in Coimbra, Portugal, was the sixth in a series of conferences. Applied and Computational Matrix Analysis will appeal to graduate students and researchers in theoretical and applied mathematics, physics and engineering who are seeking an overview of recent problems and methods in matrix analysis.

Matrix Perturbation Theory (Hardcover): G.W. Stewart, Ji-Guang Sun Matrix Perturbation Theory (Hardcover)
G.W. Stewart, Ji-Guang Sun
R3,274 Discovery Miles 32 740 Ships in 12 - 19 working days

This book is a comprehensive survey of matrix perturbation theory, a topic of interest to numerical analysts, statisticians, physical scientists, and engineers. In particular, the authors cover perturbation theory of linear systems and least square problems, the eignevalue problem, and the generalized eignevalue problem as wellas a complete treatment of vector and matrix norms, including the theory of unitary invariant norms.

Spinors and Calibrations (Hardcover): F. Reese Harvey Spinors and Calibrations (Hardcover)
F. Reese Harvey
R2,176 R1,517 Discovery Miles 15 170 Save R659 (30%) Ships in 12 - 19 working days

Progress in mathematics is based on a thorough understanding of the mathematical objects under consideration, and yet many textbooks and monographs proceed to discuss general statements and assume that the reader can and will provide the mathematical infrastructure of examples and counterexamples. This book makes a deliberate effort to correct this situation: it is a collection of examples. The following table of contents describes its breadth and reveals the underlying motivation--differential geometry--in its many facets: Riemannian, symplectic, K*adahler, hyperK*adahler, as well as complex and quaternionic.

Coding Theory and Applications - 4th International Castle Meeting, Palmela Castle, Portugal, September 15-18, 2014 (Hardcover,... Coding Theory and Applications - 4th International Castle Meeting, Palmela Castle, Portugal, September 15-18, 2014 (Hardcover, 1st ed. 2015)
Raquel Pinto, Paula Rocha Malonek, Paolo Vettori
R2,959 Discovery Miles 29 590 Ships in 10 - 15 working days

The topics covered in this book, written by researchers at the forefront of their field, represent some of the most relevant research areas in modern coding theory: codes and combinatorial structures, algebraic geometric codes, group codes, quantum codes, convolutional codes, network coding and cryptography. The book includes a survey paper on the interconnections of coding theory with constrained systems, written by an invited speaker, as well as 37 cutting-edge research communications presented at the 4th International Castle Meeting on Coding Theory and Applications (4ICMCTA), held at the Castle of Palmela in September 2014. The event's scientific program consisted of four invited talks and 39 regular talks by authors from 24 different countries. This conference provided an ideal opportunity for communicating new results, exchanging ideas, strengthening international cooperation, and introducing young researchers into the coding theory community.

Generalized Locally Toeplitz Sequences: Theory and Applications - Volume I (Hardcover, 1st ed. 2017): Carlo Garoni, Stefano... Generalized Locally Toeplitz Sequences: Theory and Applications - Volume I (Hardcover, 1st ed. 2017)
Carlo Garoni, Stefano Serra Capizzano
R4,327 Discovery Miles 43 270 Ships in 12 - 19 working days

Based on their research experience, the authors propose a reference textbook in two volumes on the theory of generalized locally Toeplitz sequences and their applications. This first volume focuses on the univariate version of the theory and the related applications in the unidimensional setting, while the second volume, which addresses the multivariate case, is mainly devoted to concrete PDE applications. This book systematically develops the theory of generalized locally Toeplitz (GLT) sequences and presents some of its main applications, with a particular focus on the numerical discretization of differential equations (DEs). It is the first book to address the relatively new field of GLT sequences, which occur in numerous scientific applications and are especially dominant in the context of DE discretizations. Written for applied mathematicians, engineers, physicists, and scientists who (perhaps unknowingly) encounter GLT sequences in their research, it is also of interest to those working in the fields of Fourier and functional analysis, spectral analysis of DE discretization matrices, matrix analysis, measure and operator theory, numerical analysis and linear algebra. Further, it can be used as a textbook for a graduate or advanced undergraduate course in numerical analysis.

Inverse Problems and Applications (Hardcover, 2015 ed.): Larisa Beilina Inverse Problems and Applications (Hardcover, 2015 ed.)
Larisa Beilina
R3,754 R3,471 Discovery Miles 34 710 Save R283 (8%) Ships in 12 - 19 working days

This volume arose from the Third Annual Workshop on Inverse Problems, held in Stockholm on May 2-6, 2012. The proceedings present new analytical developments and numerical methods for solutions of inverse and ill-posed problems, which consistently pose complex challenges to the development of effective numerical methods. The book highlights recent research focusing on reliable numerical techniques for the solution of inverse problems, with relevance to a range of fields including acoustics, electromagnetics, optics, medical imaging, and geophysics.

Large Truncated Toeplitz Matrices, Toeplitz Operators, and Related Topics - The Albrecht Boettcher Anniversary Volume... Large Truncated Toeplitz Matrices, Toeplitz Operators, and Related Topics - The Albrecht Boettcher Anniversary Volume (Hardcover, 1st ed. 2017)
Dario A. Bini, Torsten Ehrhardt, Alexei Yu. Karlovich, Ilya Spitkovsky
R4,586 Discovery Miles 45 860 Ships in 10 - 15 working days

This book presents a collection of expository and research papers on various topics in matrix and operator theory, contributed by several experts on the occasion of Albrecht Boettcher's 60th birthday. Albrecht Boettcher himself has made substantial contributions to the subject in the past. The book also includes a biographical essay, a complete bibliography of Albrecht Boettcher's work and brief informal notes on personal encounters with him. The book is of interest to graduate and advanced undergraduate students majoring in mathematics, researchers in matrix and operator theory as well as engineers and applied mathematicians.

Intermediate Algebra - Keeping it Simple (Hardcover): Judy Atkinson Intermediate Algebra - Keeping it Simple (Hardcover)
Judy Atkinson
R6,605 Discovery Miles 66 050 Ships in 12 - 19 working days
Applications (Hardcover): Peter Benner, et al Applications (Hardcover)
Peter Benner, et al
R5,984 Discovery Miles 59 840 Ships in 12 - 19 working days

An increasing complexity of models used to predict real-world systems leads to the need for algorithms to replace complex models with far simpler ones, while preserving the accuracy of the predictions. This three-volume handbook covers methods as well as applications. This third volume focuses on applications in engineering, biomedical engineering, computational physics and computer science.

Elementary Algegra (Hardcover): D B (Daniel Barnard) 1820-1 Hagar Elementary Algegra (Hardcover)
D B (Daniel Barnard) 1820-1 Hagar
R933 Discovery Miles 9 330 Ships in 12 - 19 working days
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