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Author : Zaqueu Ramos
Publisher : Springer Nature
ISBN 13 : 3031552849
Total Pages : 326 pages
Book Rating : 4.0/5 (315 download)
Download or read book Determinantal Ideals of Square Linear Matrices written by Zaqueu Ramos and published by Springer Nature. This book was released on with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Zaqueu Ramos
Publisher : Springer
ISBN 13 : 9783031552830
Total Pages : 0 pages
Book Rating : 4.5/5 (528 download)
Download or read book Determinantal Ideals of Square Linear Matrices written by Zaqueu Ramos and published by Springer. This book was released on 2024-05-22 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores determinantal ideals of square matrices from the perspective of commutative algebra, with a particular emphasis on linear matrices. Its content has been extensively tested in several lectures given on various occasions, typically to audiences composed of commutative algebraists, algebraic geometers, and singularity theorists. Traditionally, texts on this topic showcase determinantal rings as the main actors, emphasizing their properties as algebras. This book follows a different path, exploring the role of the ideal theory of minors in various situations—highlighting the use of Fitting ideals, for example. Topics include an introduction to the subject, explaining matrices and their ideals of minors, as well as classical and recent bounds for codimension. This is followed by examples of algebraic varieties defined by such ideals. The book also explores properties of matrices that impact their ideals of minors, such as the 1-generic property, explicitly presenting a criterion by Eisenbud. Additionally, the authors address the problem of the degeneration of generic matrices and their ideals of minors, along with applications to the dual varieties of some of the ideals. Primarily intended for graduate students and scholars in the areas of commutative algebra, algebraic geometry, and singularity theory, the book can also be used in advanced seminars and as a source of aid. It is suitable for beginner graduate students who have completed a first course in commutative algebra.
Author : A. G. Hamilton
Publisher : Cambridge University Press
ISBN 13 : 9780521310420
Total Pages : 344 pages
Book Rating : 4.3/5 (14 download)
Download or read book Linear Algebra: Volume 2 written by A. G. Hamilton and published by Cambridge University Press. This book was released on 1989 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Emphasis is placed on applications in preference to more theoretical aspects throughout this readable introduction to linear algebra for specialists as well as non-specialists. An expanded version of A First Course in Linear Algebra.
Author : Vasile Pop
Publisher : Springer
ISBN 13 : 3319549391
Total Pages : 370 pages
Book Rating : 4.3/5 (195 download)
Download or read book Square Matrices of Order 2 written by Vasile Pop and published by Springer. This book was released on 2017-04-04 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique and innovative book presents an exciting and complete detail of all the important topics related to the theory of square matrices of order 2. The readers exploring every detailed aspect of matrix theory are gently led toward understanding advanced topics. They will follow every notion of matrix theory with ease, accumulating a thorough understanding of algebraic and geometric aspects of matrices of order 2. The prime jewel of this book is its offering of an unusual collection of problems, theoretically motivated, most of which are new, original, and seeing the light of publication for the first time in the literature. Nearly all of the exercises are presented with detailed solutions and vary in difficulty from easy to more advanced. Many problems are particularly challenging. These, and not only these, invite the reader to unleash their creativity and research capabilities and to discover their own methods of attacking a problem. Matrices have a vast practical importance to mathematics, science, and engineering; therefore the readership of this book is intended to be broad: high school students wishing to learn the fundamentals of matrix theory, first year students who like to participate in mathematical competitions, graduate students who want to learn more about an application of a certain technique, doctoral students who are preparing for their prelim exams in linear algebra, and linear algebra instructors. Chapters 1–3 complement a standard linear algebra course. Pure and applied mathematicians who use matrix theory for their applications will find this book useful as a refresher. In fact, anyone who is willing to explore the methodologies discussed in this book and work through a collection of problems involving matrices of order 2 will be enriched.
Author : Harold M. Edwards
Publisher : Springer Science & Business Media
ISBN 13 : 0817644466
Total Pages : 196 pages
Book Rating : 4.8/5 (176 download)
Download or read book Linear Algebra written by Harold M. Edwards and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: * Proposes a radically new and thoroughly algorithmic approach to linear algebra * Each proof is an algorithm described in English that can be translated into the computer language the class is using and put to work solving problems and generating new examples * Designed for a one-semester course, this text gives the student many examples to work through and copious exercises to test their skills and extend their knowledge of the subject
Author : Eva Zerz
Publisher : Springer Science & Business Media
ISBN 13 : 9781852333362
Total Pages : 188 pages
Book Rating : 4.3/5 (333 download)
Download or read book Topics in Multidimensional Linear Systems Theory written by Eva Zerz and published by Springer Science & Business Media. This book was released on 2000-08-16 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: The past few decades have witnessed an increasing interest in the field of multidimensional systems theory. This is concerned with systems whose trajectories depend not on one single variable (usually interpreted as time or frequency), but on several independent variables, such as the coordinates of an image. The behavioural approach introduced by J. C. Willems provides a particularly suitable framework for developing a linear systems theory in several variables. The book deals with the classical concepts of autonomy, controllability, observability, and stabilizability. All the tests and criteria given are constructive in the sense that algorithmic versions may be implemented in modern computer algebra systems, using Gröbner basis techniques. There is a close connection between multidimensional systems theory and robust control of one-dimensional systems with several uncertain parameters. The central link consists in the basic tool of linear fractional transformations. The book concludes with examples from the theory of electrical networks.
Author : Tai-Ran Hsu
Publisher : John Wiley & Sons
ISBN 13 : 1119071208
Total Pages : 541 pages
Book Rating : 4.1/5 (19 download)
Download or read book Applied Engineering Analysis written by Tai-Ran Hsu and published by John Wiley & Sons. This book was released on 2018-04-30 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: A resource book applying mathematics to solve engineering problems Applied Engineering Analysis is a concise textbookwhich demonstrates how toapply mathematics to solve engineering problems. It begins with an overview of engineering analysis and an introduction to mathematical modeling, followed by vector calculus, matrices and linear algebra, and applications of first and second order differential equations. Fourier series and Laplace transform are also covered, along with partial differential equations, numerical solutions to nonlinear and differential equations and an introduction to finite element analysis. The book also covers statistics with applications to design and statistical process controls. Drawing on the author's extensive industry and teaching experience, spanning 40 years, the book takes a pedagogical approach and includes examples, case studies and end of chapter problems. It is also accompanied by a website hosting a solutions manual and PowerPoint slides for instructors. Key features: Strong emphasis on deriving equations, not just solving given equations, for the solution of engineering problems. Examples and problems of a practical nature with illustrations to enhance student’s self-learning. Numerical methods and techniques, including finite element analysis. Includes coverage of statistical methods for probabilistic design analysis of structures and statistical process control (SPC). Applied Engineering Analysis is a resource book for engineering students and professionals to learn how to apply the mathematics experience and skills that they have already acquired to their engineering profession for innovation, problem solving, and decision making.
Author : Shmuel Friedland
Publisher : SIAM
ISBN 13 : 1611975131
Total Pages : 301 pages
Book Rating : 4.6/5 (119 download)
Download or read book Linear Algebra and Matrices written by Shmuel Friedland and published by SIAM. This book was released on 2018-01-30 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introductory textbook grew out of several courses in linear algebra given over more than a decade and includes such helpful material as constructive discussions about the motivation of fundamental concepts, many worked-out problems in each chapter, and topics rarely covered in typical linear algebra textbooks.The authors use abstract notions and arguments to give the complete proof of the Jordan canonical form and, more generally, the rational canonical form of square matrices over fields. They also provide the notion of tensor products of vector spaces and linear transformations. Matrices are treated in depth, with coverage of the stability of matrix iterations, the eigenvalue properties of linear transformations in inner product spaces, singular value decomposition, and min-max characterizations of Hermitian matrices and nonnegative irreducible matrices. The authors show the many topics and tools encompassed by modern linear algebra to emphasize its relationship to other areas of mathematics. The text is intended for advanced undergraduate students. Beginning graduate students seeking an introduction to the subject will also find it of interest.
Author : Peter Lancaster
Publisher : Elsevier
ISBN 13 : 0080519083
Total Pages : 570 pages
Book Rating : 4.0/5 (85 download)
Download or read book The Theory of Matrices written by Peter Lancaster and published by Elsevier. This book was released on 1985-05-24 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book the authors try to bridge the gap between the treatments of matrix theory and linear algebra. It is aimed at graduate and advanced undergraduate students seeking a foundation in mathematics, computer science, or engineering. It will also be useful as a reference book for those working on matrices and linear algebra for use in their scientific work.
Author : Larisa Beilina
Publisher : Springer
ISBN 13 : 3319573047
Total Pages : 450 pages
Book Rating : 4.3/5 (195 download)
Download or read book Numerical Linear Algebra: Theory and Applications written by Larisa Beilina and published by Springer. This book was released on 2017-09-19 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book combines a solid theoretical background in linear algebra with practical algorithms for numerical solution of linear algebra problems. Developed from a number of courses taught repeatedly by the authors, the material covers topics like matrix algebra, theory for linear systems of equations, spectral theory, vector and matrix norms combined with main direct and iterative numerical methods, least squares problems, and eigenproblems. Numerical algorithms illustrated by computer programs written in MATLAB® are also provided as supplementary material on SpringerLink to give the reader a better understanding of professional numerical software for the solution of real-life problems. Perfect for a one- or two-semester course on numerical linear algebra, matrix computation, and large sparse matrices, this text will interest students at the advanced undergraduate or graduate level.
Author : Philip J. Davis
Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 376 pages
Book Rating : 4.E/5 ( download)
Download or read book The Mathematics of Matrices written by Philip J. Davis and published by John Wiley & Sons. This book was released on 1973 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Przemyslaw Bogacki
Publisher : American Mathematical Soc.
ISBN 13 : 1470443848
Total Pages : 383 pages
Book Rating : 4.4/5 (74 download)
Download or read book Linear Algebra: Concepts and Applications written by Przemyslaw Bogacki and published by American Mathematical Soc.. This book was released on 2019-01-24 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear Algebra: Concepts and Applications is designed to be used in a first linear algebra course taken by mathematics and science majors. It provides a complete coverage of core linear algebra topics, including vectors and matrices, systems of linear equations, general vector spaces, linear transformations, eigenvalues, and eigenvectors. All results are carefully, clearly, and rigorously proven. The exposition is very accessible. The applications of linear algebra are extensive and substantial—several of those recur throughout the text in different contexts, including many that elucidate concepts from multivariable calculus. Unusual features of the text include a pervasive emphasis on the geometric interpretation and viewpoint as well as a very complete treatment of the singular value decomposition. The book includes over 800 exercises and numerous references to the author's custom software Linear Algebra Toolkit.
Author : Sudipto Banerjee
Publisher : CRC Press
ISBN 13 : 1482248247
Total Pages : 580 pages
Book Rating : 4.4/5 (822 download)
Download or read book Linear Algebra and Matrix Analysis for Statistics written by Sudipto Banerjee and published by CRC Press. This book was released on 2014-06-06 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assuming no prior knowledge of linear algebra, this self-contained text offers a gradual exposition to linear algebra without sacrificing the rigor of the subject. It presents both the vector space approach and the canonical forms in matrix theory. The book covers important topics in linear algebra that are useful for statisticians, including the concept of rank, the fundamental theorem of linear algebra, projectors, and quadratic forms. It also provides an extensive collection of exercises on theoretical concepts and numerical computations.
Author : Belkacem Said-Houari
Publisher : Birkhäuser
ISBN 13 : 3319637932
Total Pages : 384 pages
Book Rating : 4.3/5 (196 download)
Download or read book Linear Algebra written by Belkacem Said-Houari and published by Birkhäuser. This book was released on 2017-10-04 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained, clearly written textbook on linear algebra is easily accessible for students. It begins with the simple linear equation and generalizes several notions from this equation for the system of linear equations and introduces the main ideas using matrices. It then offers a detailed chapter on determinants and introduces the main ideas with detailed proofs. The third chapter introduces the Euclidean spaces using very simple geometric ideas and discusses various major inequalities and identities. These ideas offer a solid basis for understanding general Hilbert spaces in functional analysis. The following two chapters address general vector spaces, including some rigorous proofs to all the main results, and linear transformation: areas that are ignored or are poorly explained in many textbooks. Chapter 6 introduces the idea of matrices using linear transformation, which is easier to understand than the usual theory of matrices approach. The final two chapters are more advanced, introducing the necessary concepts of eigenvalues and eigenvectors, as well as the theory of symmetric and orthogonal matrices. Each idea presented is followed by examples. The book includes a set of exercises at the end of each chapter, which have been carefully chosen to illustrate the main ideas. Some of them were taken (with some modifications) from recently published papers, and appear in a textbook for the first time. Detailed solutions are provided for every exercise, and these refer to the main theorems in the text when necessary, so students can see the tools used in the solution.
Author : Hrishikesh D. Vinod
Publisher : World Scientific
ISBN 13 : 9814313688
Total Pages : 348 pages
Book Rating : 4.8/5 (143 download)
Download or read book Hands-on Matrix Algebra Using R written by Hrishikesh D. Vinod and published by World Scientific. This book was released on 2011 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teaches matrix algebra, allowing the student to learn the material by actually working with matrix objects in modern computer environment of R. This book provides an overview of matrix theory without being bogged down in proofs or tedium.
Author : Wolmer Vasconcelos
Publisher : Springer Science & Business Media
ISBN 13 : 3540265031
Total Pages : 528 pages
Book Rating : 4.5/5 (42 download)
Download or read book Integral Closure written by Wolmer Vasconcelos and published by Springer Science & Business Media. This book was released on 2005-11-04 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an account of theoretical and algorithmic developments on the integral closure of algebraic structures. It gives a comprehensive treatment of Rees algebras and multiplicity theory while pointing to applications in many other problem areas. Its main goal is to provide complexity estimates by tracking numerically invariants of the structures that may occur.
Author : Lynn Marecek
Publisher :
ISBN 13 : 9781951693848
Total Pages : pages
Book Rating : 4.6/5 (938 download)
Download or read book Intermediate Algebra 2e written by Lynn Marecek and published by . This book was released on 2020-05-06 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
