Linear Algebra Ii Advanced Topics For Applications

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Linear Algebra II: Advanced Topics for Applications

Author : KAZUO. SUGIHARA MUROTA (MASAAKI.)
Publisher : Co-Published with World Scientific
ISBN 13 : 9789811257056
Total Pages : 0 pages
Book Rating : 4.2/5 (57 download)

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Book Synopsis Linear Algebra II: Advanced Topics for Applications by : KAZUO. SUGIHARA MUROTA (MASAAKI.)

Download or read book Linear Algebra II: Advanced Topics for Applications written by KAZUO. SUGIHARA MUROTA (MASAAKI.) and published by Co-Published with World Scientific. This book was released on 2022-08-22 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second volume of the two-volume book on linear algebra in the University of Tokyo (UTokyo) Engineering Course.The objective of this second volume is to branch out from the standard mathematical results presented in the first volume to illustrate useful specific topics pertaining to engineering applications. While linear algebra is primarily concerned with systems of equations and eigenvalue problems for matrices and vectors with real or complex entries, this volumes covers other topics such as matrices and graphs, nonnegative matrices, systems of linear inequalities, integer matrices, polynomial matrices, generalized inverses, and group representation theory.The chapters are, for the most part, independent of each other, and can be read in any order according to the reader's interest. The main objective of this book is to present the mathematical aspects of linear algebraic methods for engineering that will potentially be effective in various application areas.

Linear Algebra Ii: Advanced Topics For Applications

Author : Kazuo Murota
Publisher : World Scientific
ISBN 13 : 9811257078
Total Pages : 276 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Linear Algebra Ii: Advanced Topics For Applications by : Kazuo Murota

Download or read book Linear Algebra Ii: Advanced Topics For Applications written by Kazuo Murota and published by World Scientific. This book was released on 2022-07-28 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second volume of the two-volume book on linear algebra in the University of Tokyo (UTokyo) Engineering Course.The objective of this second volume is to branch out from the standard mathematical results presented in the first volume to illustrate useful specific topics pertaining to engineering applications. While linear algebra is primarily concerned with systems of equations and eigenvalue problems for matrices and vectors with real or complex entries, this volumes covers other topics such as matrices and graphs, nonnegative matrices, systems of linear inequalities, integer matrices, polynomial matrices, generalized inverses, and group representation theory.The chapters are, for the most part, independent of each other, and can be read in any order according to the reader's interest. The main objective of this book is to present the mathematical aspects of linear algebraic methods for engineering that will potentially be effective in various application areas.

Linear Algebra II

Author : Frederick P. Greenleaf
Publisher : American Mathematical Soc.
ISBN 13 : 1470454254
Total Pages : 288 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Linear Algebra II by : Frederick P. Greenleaf

Download or read book Linear Algebra II written by Frederick P. Greenleaf and published by American Mathematical Soc.. This book was released on 2020-05-06 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the second of two volumes on linear algebra for graduate students in mathematics, the sciences, and economics, who have: a prior undergraduate course in the subject; a basic understanding of matrix algebra; and some proficiency with mathematical proofs. Both volumes have been used for several years in a one-year course sequence, Linear Algebra I and II, offered at New York University's Courant Institute. The first three chapters of this second volume round out the coverage of traditional linear algebra topics: generalized eigenspaces, further applications of Jordan form, as well as bilinear, quadratic, and multilinear forms. The final two chapters are different, being more or less self-contained accounts of special topics that explore more advanced aspects of modern algebra: tensor fields, manifolds, and vector calculus in Chapter 4 and matrix Lie groups in Chapter 5. The reader can choose to pursue either chapter. Both deal with vast topics in contemporary mathematics. They include historical commentary on how modern views evolved, as well as examples from geometry and the physical sciences in which these topics are important. The book provides a nice and varied selection of exercises; examples are well-crafted and provide a clear understanding of the methods involved.

Advanced Topics in Linear Algebra

Author : Kevin O'Meara
Publisher : OUP USA
ISBN 13 : 0199793735
Total Pages : 423 pages
Book Rating : 4.1/5 (997 download)

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Book Synopsis Advanced Topics in Linear Algebra by : Kevin O'Meara

Download or read book Advanced Topics in Linear Algebra written by Kevin O'Meara and published by OUP USA. This book was released on 2011-09-16 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops the Weyr matrix canonical form, a largely unknown cousin of the Jordan form. It explores novel applications, including include matrix commutativity problems, approximate simultaneous diagonalization, and algebraic geometry. Module theory and algebraic geometry are employed but with self-contained accounts.

Introduction to Applied Linear Algebra

Author : Stephen Boyd
Publisher : Cambridge University Press
ISBN 13 : 1316518965
Total Pages : 477 pages
Book Rating : 4.3/5 (165 download)

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Book Synopsis Introduction to Applied Linear Algebra by : Stephen Boyd

Download or read book Introduction to Applied Linear Algebra written by Stephen Boyd and published by Cambridge University Press. This book was released on 2018-06-07 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.

Linear Algebra

Author : Richard C. Penney
Publisher : John Wiley & Sons
ISBN 13 : 1118909593
Total Pages : 510 pages
Book Rating : 4.1/5 (189 download)

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Book Synopsis Linear Algebra by : Richard C. Penney

Download or read book Linear Algebra written by Richard C. Penney and published by John Wiley & Sons. This book was released on 2015-10-27 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the Third Edition “This volume is ground-breaking in terms of mathematical texts in that it does not teach from a detached perspective, but instead, looks to show students that competent mathematicians bring an intuitive understanding to the subject rather than just a master of applications.” – Electric Review A comprehensive introduction, Linear Algebra: Ideas and Applications, Fourth Edition provides a discussion of the theory and applications of linear algebra that blends abstract and computational concepts. With a focus on the development of mathematical intuition, the book emphasizes the need to understand both the applications of a particular technique and the mathematical ideas underlying the technique. The book introduces each new concept in the context of an explicit numerical example, which allows the abstract concepts to grow organically out of the necessity to solve specific problems. The intuitive discussions are consistently followed by rigorous statements of results and proofs. Linear Algebra: Ideas and Applications, Fourth Edition also features: Two new and independent sections on the rapidly developing subject of wavelets A thoroughly updated section on electrical circuit theory Illuminating applications of linear algebra with self-study questions for additional study End-of-chapter summaries and sections with true-false questions to aid readers with further comprehension of the presented material Numerous computer exercises throughout using MATLAB® code Linear Algebra: Ideas and Applications, Fourth Edition is an excellent undergraduate-level textbook for one or two semester courses for students majoring in mathematics, science, computer science, and engineering. With an emphasis on intuition development, the book is also an ideal self-study reference.

Linear Algebra: Pure & Applied

Author : Edgar Goodaire
Publisher : World Scientific Publishing Company
ISBN 13 : 981450839X
Total Pages : 733 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Linear Algebra: Pure & Applied by : Edgar Goodaire

Download or read book Linear Algebra: Pure & Applied written by Edgar Goodaire and published by World Scientific Publishing Company. This book was released on 2013-09-20 with total page 733 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a matrix-oriented approach to linear algebra that covers the traditional material of the courses generally known as “Linear Algebra I” and “Linear Algebra II” throughout North America, but it also includes more advanced topics such as the pseudoinverse and the singular value decomposition that make it appropriate for a more advanced course as well. As is becoming increasingly the norm, the book begins with the geometry of Euclidean 3-space so that important concepts like linear combination, linear independence and span can be introduced early and in a “real” context. The book reflects the author's background as a pure mathematician — all the major definitions and theorems of basic linear algebra are covered rigorously — but the restriction of vector spaces to Euclidean n-space and linear transformations to matrices, for the most part, and the continual emphasis on the system Ax=b, make the book less abstract and more attractive to the students of today than some others. As the subtitle suggests, however, applications play an important role too. Coding theory and least squares are recurring themes. Other applications include electric circuits, Markov chains, quadratic forms and conic sections, facial recognition and computer graphics.

Linear Algebra

Author : Richard C. Penney
Publisher : John Wiley & Sons
ISBN 13 : 1119656923
Total Pages : 514 pages
Book Rating : 4.1/5 (196 download)

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Book Synopsis Linear Algebra by : Richard C. Penney

Download or read book Linear Algebra written by Richard C. Penney and published by John Wiley & Sons. This book was released on 2021-01-07 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the Third Edition "This volume is ground-breaking in terms of mathematical texts in that it does not teach from a detached perspective, but instead, looks to show students that competent mathematicians bring an intuitive understanding to the subject rather than just a master of applications." —Electric Review Learn foundational and advanced topics in linear algebra with this concise and approachable resource A comprehensive introduction, Linear Algebra: Ideas and Applications, Fifth Edition provides a discussion of the theory and applications of linear algebra that blends abstract and computational concepts. With a focus on the development of mathematical intuition, the book emphasizes the need to understand both the applications of a particular technique and the mathematical ideas underlying the technique. The book introduces each new concept in the context of explicit numerical examples, which allows the abstract concepts to grow organically out of the necessity to solve specific problems. The intuitive discussions are consistently followed by rigorous statements of results and proofs. Linear Algebra: Ideas and Applications, Fifth Edition also features: A new application section on section on Google’s Page Rank Algorithm. A new application section on pricing long term health insurance at a Continuing Care Retirement Community (CCRC). Many other illuminating applications of linear algebra with self-study questions for additional study. End-of-chapter summaries and sections with true-false questions to aid readers with further comprehension of the presented material Numerous computer exercises throughout using MATLAB code Linear Algebra: Ideas and Applications, Fifth Edition is an excellent undergraduate-level textbook for one or two semester undergraduate courses in mathematics, science, computer science, and engineering. With an emphasis on intuition development, the book is also an ideal self-study reference.

Linear Algebra And Its Applications

Author : Tzuong-tsieng Moh
Publisher : World Scientific
ISBN 13 : 9813235446
Total Pages : 336 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Linear Algebra And Its Applications by : Tzuong-tsieng Moh

Download or read book Linear Algebra And Its Applications written by Tzuong-tsieng Moh and published by World Scientific. This book was released on 2020-10-21 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: From Tzuong-Tsieng Moh, a seasoned expert in algebra, comes a new book for students to better understand linear algebra. Writing from an experienced standpoint, Moh covers the many standard aspects comprising linear algebra, such as echelon forms, matrix algebra, linear transformations, and more. Moh further includes several advanced topics and applications, as well as self-correcting codes, Heisenberg's uncertainty principle, Maxwell's equations in relativity form, Google's search engine, and the theory of finitely generated modules over a PID. This book is ideal for both newcomers and experienced readers who want to attain a deeper understanding on both the basics and advanced topics of linear algebra and its vast applications. The wide range of topics combined with the depth of each discussion make it essential to be on the shelf of every mathematical beginner and enthusiast.

Linear Algebra and Its Applications

Author : D. H. Griffel
Publisher :
ISBN 13 : 9780745805825
Total Pages : 223 pages
Book Rating : 4.8/5 (58 download)

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Book Synopsis Linear Algebra and Its Applications by : D. H. Griffel

Download or read book Linear Algebra and Its Applications written by D. H. Griffel and published by . This book was released on 1989 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Square Matrices of Order 2

Author : Vasile Pop
Publisher : Springer
ISBN 13 : 3319549391
Total Pages : 384 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Square Matrices of Order 2 by : Vasile Pop

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 384 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.

Advanced Linear Algebra

Author : Steven Roman
Publisher : Springer Science & Business Media
ISBN 13 : 038727474X
Total Pages : 488 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Advanced Linear Algebra by : Steven Roman

Download or read book Advanced Linear Algebra written by Steven Roman and published by Springer Science & Business Media. This book was released on 2007-12-31 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers a notably broad range of topics, including some topics not generally found in linear algebra books Contains a discussion of the basics of linear algebra

Introduction to Linear and Matrix Algebra

Author : Nathaniel Johnston
Publisher : Springer Nature
ISBN 13 : 3030528111
Total Pages : 482 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Introduction to Linear and Matrix Algebra by : Nathaniel Johnston

Download or read book Introduction to Linear and Matrix Algebra written by Nathaniel Johnston and published by Springer Nature. This book was released on 2021-05-19 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook emphasizes the interplay between algebra and geometry to motivate the study of linear algebra. Matrices and linear transformations are presented as two sides of the same coin, with their connection motivating inquiry throughout the book. By focusing on this interface, the author offers a conceptual appreciation of the mathematics that is at the heart of further theory and applications. Those continuing to a second course in linear algebra will appreciate the companion volume Advanced Linear and Matrix Algebra. Starting with an introduction to vectors, matrices, and linear transformations, the book focuses on building a geometric intuition of what these tools represent. Linear systems offer a powerful application of the ideas seen so far, and lead onto the introduction of subspaces, linear independence, bases, and rank. Investigation then focuses on the algebraic properties of matrices that illuminate the geometry of the linear transformations that they represent. Determinants, eigenvalues, and eigenvectors all benefit from this geometric viewpoint. Throughout, “Extra Topic” sections augment the core content with a wide range of ideas and applications, from linear programming, to power iteration and linear recurrence relations. Exercises of all levels accompany each section, including many designed to be tackled using computer software. Introduction to Linear and Matrix Algebra is ideal for an introductory proof-based linear algebra course. The engaging color presentation and frequent marginal notes showcase the author’s visual approach. Students are assumed to have completed one or two university-level mathematics courses, though calculus is not an explicit requirement. Instructors will appreciate the ample opportunities to choose topics that align with the needs of each classroom, and the online homework sets that are available through WeBWorK.

Linear Algebra and Its Applications

Author : D. H. Griffel
Publisher :
ISBN 13 : 9780470212424
Total Pages : 0 pages
Book Rating : 4.2/5 (124 download)

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Book Synopsis Linear Algebra and Its Applications by : D. H. Griffel

Download or read book Linear Algebra and Its Applications written by D. H. Griffel and published by . This book was released on 1989 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Linear Algebra I: Basic Concepts

Author : Kazuo Murota
Publisher : World Scientific
ISBN 13 : 9811257043
Total Pages : 314 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Linear Algebra I: Basic Concepts by : Kazuo Murota

Download or read book Linear Algebra I: Basic Concepts written by Kazuo Murota and published by World Scientific. This book was released on 2022-07-13 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first volume of the two-volume book on linear algebra, in the University of Tokyo (UTokyo) Engineering Course.The objective of this volume is to present, from the engineering viewpoint, the standard mathematical results in linear algebra such as those on systems of equations and eigenvalue problems. In addition to giving mathematical theorems and formulas, it explains how the mathematical concepts such as rank, eigenvalues, and singular values are linked to engineering applications and numerical computations.In particular, the following four aspects are emphasized.

A Second Course in Linear Algebra

Author : Stephan Ramon Garcia
Publisher : Cambridge University Press
ISBN 13 : 1107103819
Total Pages : 447 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis A Second Course in Linear Algebra by : Stephan Ramon Garcia

Download or read book A Second Course in Linear Algebra written by Stephan Ramon Garcia and published by Cambridge University Press. This book was released on 2017-05-11 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: A second course in linear algebra for undergraduates in mathematics, computer science, physics, statistics, and the biological sciences.

Handbook of Linear Algebra, Second Edition

Author : Leslie Hogben
Publisher : CRC Press
ISBN 13 : 1466507284
Total Pages : 1906 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Handbook of Linear Algebra, Second Edition by : Leslie Hogben

Download or read book Handbook of Linear Algebra, Second Edition written by Leslie Hogben and published by CRC Press. This book was released on 2013-11-26 with total page 1906 pages. Available in PDF, EPUB and Kindle. Book excerpt: With a substantial amount of new material, the Handbook of Linear Algebra, Second Edition provides comprehensive coverage of linear algebra concepts, applications, and computational software packages in an easy-to-use format. It guides you from the very elementary aspects of the subject to the frontiers of current research. Along with revisions and updates throughout, the second edition of this bestseller includes 20 new chapters. New to the Second Edition Separate chapters on Schur complements, additional types of canonical forms, tensors, matrix polynomials, matrix equations, special types of matrices, generalized inverses, matrices over finite fields, invariant subspaces, representations of quivers, and spectral sets New chapters on combinatorial matrix theory topics, such as tournaments, the minimum rank problem, and spectral graph theory, as well as numerical linear algebra topics, including algorithms for structured matrix computations, stability of structured matrix computations, and nonlinear eigenvalue problems More chapters on applications of linear algebra, including epidemiology and quantum error correction New chapter on using the free and open source software system Sage for linear algebra Additional sections in the chapters on sign pattern matrices and applications to geometry Conjectures and open problems in most chapters on advanced topics Highly praised as a valuable resource for anyone who uses linear algebra, the first edition covered virtually all aspects of linear algebra and its applications. This edition continues to encompass the fundamentals of linear algebra, combinatorial and numerical linear algebra, and applications of linear algebra to various disciplines while also covering up-to-date software packages for linear algebra computations.