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Elementary Linear And Matrix Algebra
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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.
Book Synopsis Elementary Matrix Algebra by : Franz Edward Hohn
Download or read book Elementary Matrix Algebra written by Franz Edward Hohn and published by . This book was released on 1958 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Matrices and Linear Algebra by : Hans Schneider
Download or read book Matrices and Linear Algebra written by Hans Schneider and published by Courier Corporation. This book was released on 2012-06-08 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Elementary Linear Algebra by : Stephen Andrilli
Download or read book Elementary Linear Algebra written by Stephen Andrilli and published by Academic Press. This book was released on 2010-02-04 with total page 768 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elementary Linear Algebra develops and explains in careful detail the computational techniques and fundamental theoretical results central to a first course in linear algebra. This highly acclaimed text focuses on developing the abstract thinking essential for further mathematical study The authors give early, intensive attention to the skills necessary to make students comfortable with mathematical proofs. The text builds a gradual and smooth transition from computational results to general theory of abstract vector spaces. It also provides flexbile coverage of practical applications, exploring a comprehensive range of topics. Ancillary list: * Maple Algorithmic testing- Maple TA- www.maplesoft.com Includes a wide variety of applications, technology tips and exercises, organized in chart format for easy reference More than 310 numbered examples in the text at least one for each new concept or application Exercise sets ordered by increasing difficulty, many with multiple parts for a total of more than 2135 questions Provides an early introduction to eigenvalues/eigenvectors A Student solutions manual, containing fully worked out solutions and instructors manual available
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 486 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
Book Synopsis Elementary Linear Algebra by : Howard Anton
Download or read book Elementary Linear Algebra written by Howard Anton and published by John Wiley & Sons. This book was released on 2010-04-12 with total page 786 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Linear Algebra and Matrix Theory by : Robert R. Stoll
Download or read book Linear Algebra and Matrix Theory written by Robert R. Stoll and published by Courier Corporation. This book was released on 2012-10-17 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced undergraduate and first-year graduate students have long regarded this text as one of the best available works on matrix theory in the context of modern algebra. Teachers and students will find it particularly suited to bridging the gap between ordinary undergraduate mathematics and completely abstract mathematics. The first five chapters treat topics important to economics, psychology, statistics, physics, and mathematics. Subjects include equivalence relations for matrixes, postulational approaches to determinants, and bilinear, quadratic, and Hermitian forms in their natural settings. The final chapters apply chiefly to students of engineering, physics, and advanced mathematics. They explore groups and rings, canonical forms for matrixes with respect to similarity via representations of linear transformations, and unitary and Euclidean vector spaces. Numerous examples appear throughout the text.
Book Synopsis Elementary Linear and Matrix Algebra by : John T. Moore
Download or read book Elementary Linear and Matrix Algebra written by John T. Moore and published by McGraw-Hill Companies. This book was released on 1972 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Elementary Linear Algebra by : Richard O. Hill
Download or read book Elementary Linear Algebra written by Richard O. Hill and published by Academic Press. This book was released on 2014-05-10 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elementary Linear Algebra reviews the elementary foundations of linear algebra in a student-oriented, highly readable way. The many examples and large number and variety of exercises in each section help the student learn and understand the material. The instructor is also given flexibility by allowing the presentation of a traditional introductory linear algebra course with varying emphasis on applications or numerical considerations. In addition, the instructor can tailor coverage of several topics. Comprised of six chapters, this book first discusses Gaussian elimination and the algebra of matrices. Applications are interspersed throughout, and the problem of solving AX = B, where A is square and invertible, is tackled. The reader is then introduced to vector spaces and subspaces, linear independences, and dimension, along with rank, determinants, and the concept of inner product spaces. The final chapter deals with various topics that highlight the interaction between linear algebra and all the other branches of mathematics, including function theory, analysis, and the singular value decomposition and generalized inverses. This monograph will be a useful resource for practitioners, instructors, and students taking elementary linear algebra.
Book Synopsis Elementary Linear Algebra by : William L. Perry
Download or read book Elementary Linear Algebra written by William L. Perry and published by McGraw-Hill Science, Engineering & Mathematics. This book was released on 1988 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Elementary Linear Algebra by : Stephen Andrilli
Download or read book Elementary Linear Algebra written by Stephen Andrilli and published by Academic Press. This book was released on 2022-04-05 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elementary Linear Algebra, Sixth Edition provides a solid introduction to both the computational and theoretical aspects of linear algebra, covering many important real-world applications, including graph theory, circuit theory, Markov chains, elementary coding theory, least-squares polynomials and least-squares solutions for inconsistent systems, differential equations, computer graphics and quadratic forms. In addition, many computational techniques in linear algebra are presented, including iterative methods for solving linear systems, LDU Decomposition, the Power Method for finding eigenvalues, QR Decomposition, and Singular Value Decomposition and its usefulness in digital imaging. Prepares students with a thorough coverage of the fundamentals of introductory linear algebra Presents each chapter as a coherent, organized theme, with clear explanations for each new concept Builds a foundation for math majors in the reading and writing of elementary mathematical proofs
Book Synopsis Elementary Linear Algebra by : Howard Anton
Download or read book Elementary Linear Algebra written by Howard Anton and published by John Wiley & Sons. This book was released on 2013-11-04 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elementary Linear Algebra 11th 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.
Book Synopsis ELEMENTARY LINEAR ALGEBRA APPLICATIONS VERSION, 9TH ED by : Howard Anton
Download or read book ELEMENTARY LINEAR ALGEBRA APPLICATIONS VERSION, 9TH ED written by Howard Anton and published by John Wiley & Sons. This book was released on 2008 with total page 856 pages. Available in PDF, EPUB and Kindle. Book excerpt: Market_Desc: · Engineers· Mathematicians· Math students Special Features: · Clear, accessible, step-by-step explanations make the material crystal clear. The authors spotlight the relationships between concepts to give a unified and complete picture.· Establishes the intricate thread of relationships between systems of equations, matrices, determinants, vectors, linear transformations and eigen values. About The Book: This classic treatment of linear algebra presents the fundamentals in the clearest possible way, examining basic ideas by means of computational examples and geometrical interpretation. It proceeds from familiar concepts to the unfamiliar, from the concrete to the abstract. Readers consistently praise this outstanding text for its expository style and clarity of presentation.
Book Synopsis Elementary Linear Algebra by : James R. Kirkwood
Download or read book Elementary Linear Algebra written by James R. Kirkwood and published by CRC Press. This book was released on 2017-12-15 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elementary Linear Algebra is written for the first undergraduate course. The book focuses on the importance of linear algebra in many disciplines such as engineering, economics, statistics, and computer science. The text reinforces critical ideas and lessons of traditional topics. More importantly, the book is written in a manner that deeply ingrains computational methods.
Book Synopsis Elementary Linear Algebra by : Lawrence E. Spence
Download or read book Elementary Linear Algebra written by Lawrence E. Spence and published by Pearson Prentice Hall. This book was released on 2008-09-01 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Elementary Linear Algebra by : Howard Anton
Download or read book Elementary Linear Algebra written by Howard Anton and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Elementary Linear Algebra by : Lawrence E. Spence
Download or read book Elementary Linear Algebra written by Lawrence E. Spence and published by . This book was released on 2013-07-29 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: For a sophomore-level course in Linear Algebra. Based on the recommendations of the Linear Algebra Curriculum Study Group, this introduction to linear algebra offers a matrix-oriented approach with more emphasis on problem solving and applications. Throughout the text, use of technology is encouraged. The focus is on matrix arithmetic, systems of linear equations, properties of Euclidean n-space, eigenvalues and eigenvectors, and orthogonality. Although matrix-oriented, the text provides a solid coverage of vector spaces.
