Author by: Steven Roman Language: en Publisher by: Springer Science & Business Media Format Available: PDF, ePub, Mobi Total Read: 36 Total Download: 824 File Size: 55,6 Mb Description: This graduate level textbook covers an especially broad range of topics. The book first offers a careful discussion of the basics of linear algebra. It then proceeds to a discussion of modules, emphasizing a comparison with vector spaces, and presents a thorough discussion of inner product spaces, eigenvalues, eigenvectors, and finite dimensional spectral theory, culminating in the finite dimensional spectral theorem for normal operators. The new edition has been revised and contains a chapter on the QR decomposition, singular values and pseudoinverses, and a chapter on convexity, separation and positive solutions to linear systems.

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Author by: Bruce Cooperstein Language: en Publisher by: CRC Press Format Available: PDF, ePub, Mobi Total Read: 67 Total Download: 395 File Size: 52,9 Mb Description: Advanced Linear Algebra focuses on vector spaces and the maps between them that preserve their structure (linear transformations). It starts with familiar concepts and then slowly builds to deeper results.

Along with including many exercises and examples, each section reviews what students need to know before studying the material. The book first introduces vector spaces over fields as well as the fundamental concepts of linear combinations, span of vectors, linear independence, basis, and dimension. After covering linear transformations, it discusses the algebra of polynomials with coefficients in a field, concentrating on results that are consequences of the division algorithm.

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The author then develops the whole structure theory of a linear operator on a finite dimensional vector space from a collection of some simple results. He also explores the entire range of topics associated with inner product spaces, from the Gram–Schmidt process to the spectral theorems for normal and self-adjoint operators on an inner product space. The text goes on to rigorously describe the trace and determinant of linear operators and square matrices. The final two chapters focus on bilinear forms and tensor products and related material.

Designed for advanced undergraduate and beginning graduate students, this textbook shows students the beauty of linear algebra. It also prepares them for further study in mathematics. Author by: Hugo Woerdeman Language: en Publisher by: CRC Press Format Available: PDF, ePub, Mobi Total Read: 80 Total Download: 627 File Size: 45,6 Mb Description: Advanced Linear Algebra features a student-friendly approach to the theory of linear algebra. The author’s emphasis on vector spaces over general fields, with corresponding current applications, sets the book apart. He focuses on finite fields and complex numbers, and discusses matrix algebra over these fields.

The text then proceeds to cover vector spaces in depth. Also discussed are standard topics in linear algebra including linear transformations, Jordan canonical form, inner product spaces, spectral theory, and, as supplementary topics, dual spaces, quotient spaces, and tensor products. Written in clear and concise language, the text sticks to the development of linear algebra without excessively addressing applications.

A unique chapter on 'How to Use Linear Algebra' is offered after the theory is presented. In addition, students are given pointers on how to start a research project.

The proofs are clear and complete and the exercises are well designed. In addition, full solutions are included for almost all exercises.

English Grammar Advanced Level Pdf

Author by: Nicholas Loehr Language: en Publisher by: CRC Press Format Available: PDF, ePub, Mobi Total Read: 42 Total Download: 271 File Size: 45,9 Mb Description: Designed for advanced undergraduate and beginning graduate students in linear or abstract algebra, Advanced Linear Algebra covers theoretical aspects of the subject, along with examples, computations, and proofs. It explores a variety of advanced topics in linear algebra that highlight the rich interconnections of the subject to geometry, algebra, analysis, combinatorics, numerical computation, and many other areas of mathematics. The book’s 20 chapters are grouped into six main areas: algebraic structures, matrices, structured matrices, geometric aspects of linear algebra, modules, and multilinear algebra. The level of abstraction gradually increases as students proceed through the text, moving from matrices to vector spaces to modules.

Each chapter consists of a mathematical vignette devoted to the development of one specific topic. Some chapters look at introductory material from a sophisticated or abstract viewpoint while others provide elementary expositions of more theoretical concepts. Several chapters offer unusual perspectives or novel treatments of standard results. Unlike similar advanced mathematical texts, this one minimizes the dependence of each chapter on material found in previous chapters so that students may immediately turn to the relevant chapter without first wading through pages of earlier material to access the necessary algebraic background and theorems.

Chapter summaries contain a structured list of the principal definitions and results. End-of-chapter exercises aid students in digesting the material. Students are encouraged to use a computer algebra system to help solve computationally intensive exercises. Author by: Sohail A.

Dianat Language: en Publisher by: CRC Press Format Available: PDF, ePub, Mobi Total Read: 13 Total Download: 664 File Size: 41,6 Mb Description: Arming readers with both theoretical and practical knowledge, Advanced Linear Algebra for Engineers with MATLAB® provides real-life problems that readers can use to model and solve engineering and scientific problems in fields ranging from signal processing and communications to electromagnetics and social and health sciences. Author by: Steven H. Weintraub Language: en Publisher by: MAA Format Available: PDF, ePub, Mobi Total Read: 30 Total Download: 213 File Size: 41,9 Mb Description: Linear algebra occupies a central place in modern mathematics. This book provides a rigorous and thorough development of linear algebra at an advanced level, and is directed at graduate students and professional mathematicians. It approaches linear algebra from an algebraic point of view, but its selection of topics is governed not only for their importance in linear algebra itself, but also for their applications throughout mathematics. Author by: CTI Reviews Language: en Publisher by: Cram101 Textbook Reviews Format Available: PDF, ePub, Mobi Total Read: 46 Total Download: 171 File Size: 55,5 Mb Description: Facts101 is your complete guide to Advanced Linear Algebra. In this book, you will learn topics such as as those in your book plus much more.

With key features such as key terms, people and places, Facts101 gives you all the information you need to prepare for your next exam. Our practice tests are specific to the textbook and we have designed tools to make the most of your limited study time. Author by: Bruce Cooperstein Language: en Publisher by: CRC Press Format Available: PDF, ePub, Mobi Total Read: 96 Total Download: 260 File Size: 41,6 Mb Description: Advanced Linear Algebra, Second Edition takes a gentle approach that starts with familiar concepts and then gradually builds to deeper results. Each section begins with an outline of previously introduced concepts and results necessary for mastering the new material. By reviewing what students need to know before moving forward, the text builds a solid foundation upon which to progress. The new edition of this successful text focuses on vector spaces and the maps between them that preserve their structure (linear transformations). Designed for advanced undergraduate and beginning graduate students, the book discusses the structure theory of an operator, various topics on inner product spaces, and the trace and determinant functions of a linear operator.

It addresses bilinear forms with a full treatment of symplectic spaces and orthogonal spaces, as well as explains the construction of tensor, symmetric, and exterior algebras. Featuring updates and revisions throughout, Advanced Linear Algebra, Second Edition: Contains new chapters covering sesquilinear forms, linear groups and groups of isometries, matrices, and three important applications of linear algebra Adds sections on normed vector spaces, orthogonal spaces over perfect fields of characteristic two, and Clifford algebras Includes several new exercises and examples, with a solutions manual available upon qualifying course adoption The book shows students the beauty of linear algebra while preparing them for further study in mathematics. Author by: CTI Reviews Language: en Publisher by: Cram101 Textbook Reviews Format Available: PDF, ePub, Mobi Total Read: 57 Total Download: 389 File Size: 54,7 Mb Description: Facts101 is your complete guide to Advanced Linear Algebra for Engineers. In this book, you will learn topics such as as those in your book plus much more. With key features such as key terms, people and places, Facts101 gives you all the information you need to prepare for your next exam. Our practice tests are specific to the textbook and we have designed tools to make the most of your limited study time.