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Introduction to Applied Linear Algebra

Introduction to Applied Linear Algebra
  • Author : Stephen Boyd,Lieven Vandenberghe
  • Publisher :Unknown
  • Release Date :2018-06-07
  • Total pages :500
  • ISBN : 9781316518960
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Summary : A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.

Matrices and Linear Algebra

Matrices and Linear Algebra
  • Author : Hans Schneider,George Phillip Barker
  • Publisher :Unknown
  • Release Date :1989-01-01
  • Total pages :413
  • ISBN : 0486660141
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Summary : Linear algebra is one of the central disciplines in mathematics. A student of pure mathematics must know linear algebra if he is to continue with modern algebra or functional analysis. Much of the mathematics now taught to engineers and physicists requires it. This well-known and highly regarded text makes the subject accessible to undergraduates with little mathematical experience. Written mainly for students in physics, engineering, economics, and other fields outside mathematics, the book gives the theory of matrices and applications to systems of linear equations, as well as many related topics such as determinants, eigenvalues, and differential equations. Table of Contents: l. The Algebra of Matrices 2. Linear Equations 3. Vector Spaces 4. Determinants 5. Linear Transformations 6. Eigenvalues and Eigenvectors 7. Inner Product Spaces 8. Applications to Differential Equations For the second edition, the authors added several exercises in each chapter and a brand new section in Chapter 7. The exercises, which are both true-false and multiple-choice, will enable the student to test his grasp of the definitions and theorems in the chapter. The new section in Chapter 7 illustrates the geometric content of Sylvester's Theorem by means of conic sections and quadric surfaces. 6 line drawings. lndex. Two prefaces. Answer section.

Linear Algebra: Concepts and Applications

Linear Algebra: Concepts and Applications
  • Author : Przemyslaw Bogacki
  • Publisher :Unknown
  • Release Date :2019-01-24
  • Total pages :383
  • ISBN : 9781470443849
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Summary : 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.

An Introduction to Linear Algebra

An Introduction to Linear Algebra
  • Author : L. Mirsky
  • Publisher :Unknown
  • Release Date :2012-12-03
  • Total pages :464
  • ISBN : 9780486166445
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Summary : Rigorous, self-contained coverage of determinants, vectors, matrices and linear equations, quadratic forms, more. Elementary, easily readable account with numerous examples and problems at the end of each chapter.

Lectures on Linear Algebra

Lectures on Linear Algebra
  • Author : I. M. Gelfand
  • Publisher :Unknown
  • Release Date :1989-01-01
  • Total pages :185
  • ISBN : 0486660826
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Summary : Prominent Russian mathematician's concise, well-written exposition considers n-dimensional spaces, linear and bilinear forms, linear transformations, canonical form of an arbitrary linear transformation, and an introduction to tensors. While not designed as an introductory text, the book's well-chosen topics, brevity of presentation, and the author's reputation will recommend it to all students, teachers, and mathematicians working in this sector.

Linear Algebra

Linear Algebra
  • Author : Serge Lang
  • Publisher :Unknown
  • Release Date :1987-01-26
  • Total pages :285
  • ISBN : 0387964126
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Summary : This book begins with an exposition of the basic theory of vector spaces and proceeds to explain the fundamental structure theorem for linear maps, including eigenvectors and eigenvalues, quadratic and hermitian forms, diagnolization of symmetric, hermitian, and unitary linear maps and matrices, triangulation, and Jordan canonical form. Material in this new edition has been rewritten and reorganized and new exercises have been added.

Linear Algebra and Linear Models

Linear Algebra and Linear Models
  • Author : R. B. Bapat
  • Publisher :Unknown
  • Release Date :2000
  • Total pages :138
  • ISBN : 9780387988719
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Summary : This book provides a rigorous introduction to the basic aspects of the theory of linear estimation and hypothesis testing, covering the necessary prerequisites in matrices, multivariate normal distribution and distributions of quadratic forms along the way. It will appeal to advanced undergraduate and first-year graduate students, research mathematicians and statisticians.

Linear Algebra: Concepts and Methods

Linear Algebra: Concepts and Methods
  • Author : Martin Anthony,Michele Harvey
  • Publisher :Unknown
  • Release Date :2012-05-10
  • Total pages :516
  • ISBN : 9780521279482
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Summary : Any student of linear algebra will welcome this textbook, which provides a thorough treatment of this key topic. Blending practice and theory, the book enables the reader to learn and comprehend the standard methods, with an emphasis on understanding how they actually work. At every stage, the authors are careful to ensure that the discussion is no more complicated or abstract than it needs to be, and focuses on the fundamental topics. The book is ideal as a course text or for self-study. Instructors can draw on the many examples and exercises to supplement their own assignments. End-of-chapter sections summarise the material to help students consolidate their learning as they progress through the book.

A First Course in Linear Algebra

A First Course in Linear Algebra
  • Author : Robert A. Beezer
  • Publisher :Unknown
  • Release Date :2012-12-01
  • Total pages :542
  • ISBN : 0984417559
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Summary : An introduction to the basic concepts of linear algebra, along with an introduction to the techniques of formal mathematics. Numerous worked examples and exercises, along with precise statements of definitions and complete proofs of every theorem, make the text ideal for independent study.

Linear Algebra

Linear Algebra
  • Author : Larry Smith
  • Publisher :Unknown
  • Release Date :1998-05-28
  • Total pages :454
  • ISBN : 0387984550
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Summary : This popular and successful text was originally written for a one-semester course in linear algebra at the sophomore undergraduate level. Consequently, the book deals almost exclusively with real finite dimensional vector spaces, but in a setting and formulation that permits easy generalisation to abstract vector spaces. A wide selection of examples of vector spaces and linear transformation is presented to serve as a testing ground for the theory. In the second edition, a new chapter on Jordan normal form was added which reappears here in expanded form as the second goal of this new edition, after the principal axis theorem. To achieve these goals in one semester it is necessary to follow a straight path, but this is compensated by a wide selection of examples and exercises. In addition, the author includes an introduction to invariant theory to show that linear algebra alone is incapable of solving these canonical forms problems. A compact, but mathematically clean introduction to linear algebra with particular emphasis on topics in abstract algebra, the theory of differential equations, and group representation theory.

Linear Algebra and Its Applications

Linear Algebra and Its Applications
  • Author : Peter D. Lax
  • Publisher :Unknown
  • Release Date :2007-09-10
  • Total pages :376
  • ISBN : 9780471751564
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Summary : Praise for the First Edition ". . .recommended for the teacher and researcher as well as for graduate students. In fact, [it] has a place on every mathematician′s bookshelf." –American Mathematical Monthly Linear Algebra and Its Applications, Second Edition presents linear algebra as the theory and practice of linear spaces and linear maps with a unique focus on the analytical aspects as well as the numerous applications of the subject. In addition to thorough coverage of linear equations, matrices, vector spaces, game theory, and numerical analysis, the Second Edition features student–friendly additions that enhance the book′s accessibility, including expanded topical coverage in the early chapters, additional exercises, and solutions to selected problems. Beginning chapters are devoted to the abstract structure of finite dimensional vector spaces, and subsequent chapters address convexity and the duality theorem as well as describe the basics of normed linear spaces and linear maps between normed spaces. Further updates and revisions have been included to reflect the most up–to–date coverage of the topic, including: The QR algorithm for finding the eigenvalues of a self–adjoint matrix The Householder algorithm for turning self–adjoint matrices into tridiagonal form The compactness of the unit ball as a criterion of finite dimensionality of a normed linear space Additionally, eight new appendices have been added and cover topics such as: the Fast Fourier Transform; the spectral radius theorem; the Lorentz group; the compactness criterion for finite dimensionality; the characterization of commentators; proof of Liapunov′s stability criterion; the construction of the Jordan Canonical form of matrices; and Carl Pearcy′s elegant proof of Halmos′ conjecture about the numerical range of matrices. Clear, concise, and superbly organized, Linear Algebra and Its Applications, Second Edition serves as an excellent text for advanced undergraduate– and graduate–level courses in linear algebra. Its comprehensive treatment of the subject also makes it an ideal reference or self–study for industry professionals.

Linear Algebra

Linear Algebra
  • Author : Ward Cheney,David Kincaid
  • Publisher :Unknown
  • Release Date :2010-12-29
  • Total pages :624
  • ISBN : 9781449613525
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Summary : Ward Cheney and David Kincaid have developed Linear Algebra: Theory and Applications, Second Edition, a multi-faceted introductory textbook, which was motivated by their desire for a single text that meets the various requirements for differing courses within linear algebra. For theoretically-oriented students, the text guides them as they devise proofs and deal with abstractions by focusing on a comprehensive blend between theory and applications. For application-oriented science and engineering students, it contains numerous exercises that help them focus on understanding and learning not only vector spaces, matrices, and linear transformations, but uses of software tools available for use in applied linear algebra. Using a flexible design, it is an ideal textbook for instructors who wish to make their own choice regarding what material to emphasis, and to accentuate those choices with homework assignments from a large variety of exercises, both in the text and online.

Linear Algebra

Linear Algebra
  • Author : David Poole
  • Publisher :Unknown
  • Release Date :2005
  • Total pages :712
  • ISBN : 0534998453
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Summary : David Poole's innovative book emphasizes vectors and geometric intuition from the start and better prepares students to make the transition from the computational aspects of the course to the theoretical. Poole covers vectors and vector geometry first to enable students to visualize the mathematics while they are doing matrix operations. With a concrete understanding of vector geometry, students are able to visualize and understand the meaning of the calculations that they will encounter. By seeing the mathematics and understanding the underlying geometry, students develop mathematical maturity and can think abstractly when they reach vector spaces. Throughout the text, Poole's direct conversational writing style connects with students, and an abundant selection of applications from a broad range of disciplines clearly demonstrates the relevance of linear algebra.

Advanced Linear Algebra

Advanced Linear Algebra
  • Author : Steven Roman
  • Publisher :Unknown
  • Release Date :2007-09-20
  • Total pages :525
  • ISBN : 9780387728315
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Summary : 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.

Elementary Linear Algebra

Elementary Linear Algebra
  • Author : Howard Anton,Chris Rorres
  • Publisher :Unknown
  • Release Date :2010-04-12
  • Total pages :773
  • ISBN : 9780470432051
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Summary : Elementary Linear Algebra 10th edition gives an elementary treatment of linear algebra that is suitable for a first course for undergraduate students. The aim is to present the fundamentals of linear algebra in the clearest possible way; pedagogy is the main consideration. Calculus is not a prerequisite, but there are clearly labeled exercises and examples (which can be omitted without loss of continuity) for students who have studied calculus. Technology also is not required, but for those who would like to use MATLAB, Maple, or Mathematica, or calculators with linear algebra capabilities, exercises are included at the ends of chapters that allow for further exploration using those tools.

Linear Algebra

Linear Algebra
  • Author : Robert J. Valenza
  • Publisher :Unknown
  • Release Date :2012-12-06
  • Total pages :237
  • ISBN : 9781461209010
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Summary : Based on lectures given at Claremont McKenna College, this text constitutes a substantial, abstract introduction to linear algebra. The presentation emphasizes the structural elements over the computational - for example by connecting matrices to linear transformations from the outset - and prepares the student for further study of abstract mathematics. Uniquely among algebra texts at this level, it introduces group theory early in the discussion, as an example of the rigorous development of informal axiomatic systems.

Advanced Linear Algebra

Advanced Linear Algebra
  • Author : Hugo Woerdeman
  • Publisher :Unknown
  • Release Date :2015-12-23
  • Total pages :327
  • ISBN : 9781498754040
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Summary : 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.

Linear Algebra

Linear Algebra
  • Author : Larry E. Knop
  • Publisher :Unknown
  • Release Date :2008-08-28
  • Total pages :752
  • ISBN : 9781584887836
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Summary : Linear Algebra: A First Course with Applications explores the fundamental ideas of linear algebra, including vector spaces, subspaces, basis, span, linear independence, linear transformation, eigenvalues, and eigenvectors, as well as a variety of applications, from inventories to graphics to Google’s PageRank. Unlike other texts on the subject, this classroom-tested book gives students enough time to absorb the material by focusing on vector spaces early on and using computational sections as numerical interludes. It offers introductions to MapleTM, MATLAB®, and TI-83 Plus for calculating matrix inverses, determinants, eigenvalues, and eigenvectors. Moving from the specific to the general, the author raises questions, provides motivation, and discusses strategy before presenting answers. Discussions of motivation and strategy include content and context to help students learn.

Elements of Linear Algebra

Elements of Linear Algebra
  • Author : P.M. Cohn
  • Publisher :Unknown
  • Release Date :2017-10-19
  • Total pages :240
  • ISBN : 9781351452830
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Summary : This volume presents a thorough discussion of systems of linear equations and their solutions. Vectors and matrices are introduced as required and an account of determinants is given. Great emphasis has been placed on keeping the presentation as simple as possible, with many illustrative examples. While all mathematical assertions are proved, the student is led to view the mathematical content intuitively, as an aid to understanding.The text treats the coordinate geometry of lines, planes and quadrics, provides a natural application for linear algebra and at the same time furnished a geometrical interpretation to illustrate the algebraic concepts.

Linear Algebra for Everyone

Linear Algebra for Everyone
  • Author : Lorenzo Robbiano
  • Publisher :Unknown
  • Release Date :2011-05-09
  • Total pages :218
  • ISBN : 8847018390
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Summary : This book provides students with the rudiments of Linear Algebra, a fundamental subject for students in all areas of science and technology. The book would also be good for statistics students studying linear algebra. It is the translation of a successful textbook currently being used in Italy. The author is a mathematician sensitive to the needs of a general audience. In addition to introducing fundamental ideas in Linear Algebra through a wide variety of interesting examples, the book also discusses topics not usually covered in an elementary text (e.g. the "cost" of operations, generalized inverses, approximate solutions). The challenge is to show why the "everyone" in the title can find Linear Algebra useful and easy to learn. The translation has been prepared by a native English speaking mathematician, Professor Anthony V. Geramita.

Linear Algebra

Linear Algebra
  • Author : Vivek Sahai,Vikas Bist
  • Publisher :Unknown
  • Release Date :2002-05
  • Total pages :208
  • ISBN : 0849324262
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Summary : This book presents a concise, comprehensive introduction to the fundamentals of linear algebra. The authors develop the subject in a manner accessible to readers of varied backgrounds. The material requires only very basic algebra and a rudimentary knowledge of matrices and determinants as prerequisites, but the text includes an introductory chapter containing most of the foundational material required. Linear Algebra begins with the basic concepts of vector spaces, subspace, basis, and dimension. Although the authors emphasize finite dimensional vector spaces, they also include examples of infinite dimensional vector spaces to highlight the differences between the two classes. The treatment then moves to the analysis of a single linear operator on a finite dimensional vector space, including discussions on characterizing diagonizable and triangulable operators. It uses the concept of generalized eigenvectors to obtain an inductive procedure for constructing a Jordan basis for a triangulable linear operator and again uses an algorithmic approach to the rational canonical form. Subsequent discussions focus on finite dimensional inner product spaces and non-negative operators, isometries, and polar and singular-value decomposition. The final chapter explores bilinear forms and extends the results of inner product spaces to bilinear spaces. Numerous examples and exercises at the end of each section make this an outstanding text for graduate and senior undergraduate students.