advanced linear algebra

Advanced Linear Algebra【電子書籍】 Nicholas A. LoehrAdvanced Linear Algebra for Engineers with MATLAB【電子書籍】 Sohail A. DianatGalois Theory and Advanced Linear Algebra【電子書籍】 Rajnikant SinhaLinear Algebra II Advanced Topics for Applications【電子書籍】 Kazuo MurotaA Concise Text on Advanced Linear Algebra【電子書籍】 Yisong YangAdvanced Linear and Matrix Algebra【電子書籍】 Nathaniel JohnstonFundamentals of Advanced Mathematics 1 Categories, Algebraic Structures, Linear and Homological Algebra【電子書籍】 Henri BourlesAdvanced Linear Algebra with Applications【電子書籍】 Mohammad Ashraf【中古】 Advanced Linear Algebra / Bruce Cooperstein / Chapman and Hall/CRC ハードカバー 【メール便送料無料】Advanced Linear Algebra With an Introduction to Module Theory【電子書籍】 Shou-Te Chang
 

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  • <p>Designed for advanced undergraduate and beginning graduate students in linear or abstract algebra, <em><strong>Advanced Linear Algebra</strong></em> 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.</p> <p>The author begins with chapters introducing basic notation for vector spaces, permutations, polynomials, and other algebraic structures. The following chapters are designed to be mostly independent of each other so that readers with different interests can jump directly to the topic they want. This is an unusual organization compared to many abstract algebra textbooks, which require readers to follow the order of chapters.</p> <p>Each chapter consists of a mathematical vignette devoted to the developmen...
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  • <p>Arming readers with both theoretical and practical knowledge, <strong>Advanced Linear Algebra for Engineers with MATLAB?</strong> 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.</p> <p>Facilitating a unique understanding of rapidly evolving linear algebra and matrix methods, this book:</p> <ul> <li></li> <li>Outlines the basic concepts and definitions behind matrices, matrix algebra, elementary matrix operations, and matrix partitions, describing their potential use in signal and image processing applications</li> <li></li> <li>Introduces concepts of determinants, inverses, and their use in solving linear equations that result from electrical and mechanical-type systems</li> <li></li> <li>Presents special matrices, linear vector spaces, and fundamental principles of orthogonality...
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  • <p>This book discusses major topics in Galois theory and advanced linear algebra, including canonical forms. Divided into four chapters and presenting numerous new theorems, it serves as an easy-to-understand textbook for undergraduate students of advanced linear algebra, and helps students understand other courses, such as Riemannian geometry. The book also discusses key topics including Cayley?Hamilton theorem, Galois groups, Sylvester’s law of inertia, Eisenstein criterion, and solvability by radicals. Readers are assumed to have a grasp of elementary properties of groups, rings, fields, and vector spaces, and familiarity with the elementary properties of positive integers, inner product space of finite dimension and linear transformations is beneficial.</p>画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。
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  • <p>This is the second volume of the two-volume book on linear algebra in the University of Tokyo (UTokyo) Engineering Course.</p> <p>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.</p> <p>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...
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  • <p>This engaging textbook for advanced undergraduate students and beginning graduates covers the core subjects in linear algebra. The author motivates the concepts by drawing clear links to applications and other important areas, such as differential topology and quantum mechanics. The book places particular emphasis on integrating ideas from analysis wherever appropriate. For example, the notion of determinant is shown to appear from calculating the index of a vector field which leads to a self-contained proof of the Fundamental Theorem of Algebra, and the Cayley?Hamilton theorem is established by recognizing the fact that the set of complex matrices of distinct eigenvalues is dense. The material is supplemented by a rich collection of over 350 mostly proof-oriented exercises, suitable for students from a wide variety of backgrounds. Selected solutions are provided at the back of the book, making it suitable for self-study as well as for use as a course text.</p>画面が切り替わ...
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  • <p>This textbook emphasizes the interplay between algebra and geometry to motivate the study of advanced linear algebra techniques. Matrices and linear transformations are presented as two sides of the same coin, with their connection motivating inquiry throughout the book. Building on a first course in linear algebra, this book offers readers a deeper understanding of abstract structures, matrix decompositions, multilinearity, and tensors. Concepts draw on concrete examples throughout, offering accessible pathways to advanced techniques.</p> <p>Beginning with a study of vector spaces that includes coordinates, isomorphisms, orthogonality, and projections, the book goes on to focus on matrix decompositions. Numerous decompositions are explored, including the Shur, spectral, singular value, and Jordan decompositions. In each case, the author ties the new technique back to familiar ones, to create a coherent set of tools. Tensors and multilinearity complete the book, with a stud...
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  • <p>This precis, comprised of three volumes, of which this book is the first, exposes the mathematical elements which make up the foundations of a number of contemporary scientific methods: modern theory on systems, physics and engineering.</p> <p>This first volume focuses primarily on algebraic questions: categories and functors, groups, rings, modules and algebra. Notions are introduced in a general framework and then studied in the context of commutative and homological algebra; their application in algebraic topology and geometry is therefore developed. These notions play an essential role in algebraic analysis (analytico-algebraic systems theory of ordinary or partial linear differential equations).</p> <p>The book concludes with a study of modules over the main types of rings, the rational canonical form of matrices, the (commutative) theory of elemental divisors and their application in systems of linear differential equations with constant coefficients.</p> <ul>...
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  • <p>This book provides a comprehensive knowledge of linear algebra for graduate and undergraduate courses. As a self-contained text, it aims at covering all important areas of the subject, including algebraic structures, matrices and systems of linear equations, vector spaces, linear transformations, dual and inner product spaces, canonical, bilinear, quadratic, sesquilinear, Hermitian forms of operators and tensor products of vector spaces with their algebras. The last three chapters focus on empowering readers to pursue interdisciplinary applications of linear algebra in numerical methods, analytical geometry and in solving linear system of differential equations. A rich collection of examples and exercises are present at the end of each section to enhance the conceptual understanding of readers. Basic knowledge of various notions, such as sets, relations, mappings, etc., has been pre-assumed.</p>画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページから...
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  • 著者:Bruce Cooperstein出版社:Chapman and Hall/CRCサイズ:ハードカバーISBN-10:1482248840ISBN-13:9781482248845■通常24時間以内に出荷可能です。※繁忙期やセール等、ご注文数が多い日につきましては 出荷まで48時間かかる場合があります。あらかじめご了承ください。 ■1冊から送料無料です。■中古品ではございますが、良好なコンディションです。決済は、クレジットカード、代引き等、各種決済方法がご利用可能です。■万が一品質に不備が有った場合は、返金対応。■クリーニング済み。■商品状態の表記につきまして・非常に良い:  使用されてはいますが、  非常にきれいな状態です。  書き込みや線引きはありません。・良い:  比較的綺麗な状態の商品です。  ページやカバーに欠品はありません。  文章を読むのに支障はありません。・可:  文章が問題なく読める状態の商品です。  マーカーやペンで書込があることがあります。  商品の傷みがある場合があります。基本的に付録・付属品等付いていない状態です。
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  • <p>Certain essential concepts in linear algebra cannot be fully explained in a first course. This is due to a lack of algebraic background for most beginning students. On the other hand, these concepts are taken for granted in most of the mathematical courses at graduate school level. This book will provide a gentle guidance for motivated students to fill the gap. It is not easy to find other books fulfilling this purpose. This book is a suitable textbook for a higher undergraduate course, as well as for a graduate student's self-study. The introduction of set theory and modules would be of particular interest to students who aspire to becoming algebraists.</p> <p>There are three parts to this book. One is to complete the discussion of bases and dimension in linear algebra. In a first course, only the finite dimensional vector spaces are treated, and in most textbooks, it will assume the scalar field is the real number field. In this book, the general case of arbitrary dimensi...
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