Introduction To Linear Algebra With Applications

Author : Jim DeFranza,Daniel Gagliardi
Publisher : Waveland Press
Page : 488 pages
File Size : 46,9 Mb
Release : 2015-01-23
Category : Mathematics
ISBN : 9781478628828

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Introduction to Linear Algebra with Applications by Jim DeFranza,Daniel Gagliardi Pdf

Over the last few decades, linear algebra has become more relevant than ever. Applications have increased not only in quantity but also in diversity, with linear systems being used to solve problems in chemistry, engineering, economics, nutrition, urban planning, and more. DeFranza and Gagliardi introduce students to the topic in a clear, engaging, and easy-to-follow manner. Topics are developed fully before moving on to the next through a series of natural connections. The result is a solid introduction to linear algebra for undergraduates’ first course.

Author : Nathaniel Johnston
Publisher : Springer Nature
Page : 482 pages
File Size : 45,5 Mb
Release : 2021-05-19
Category : Mathematics
ISBN : 9783030528119

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Introduction to Linear and Matrix Algebra by Nathaniel Johnston Pdf

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.

Author : Mark J. DeBonis
Publisher : CRC Press
Page : 434 pages
File Size : 50,7 Mb
Release : 2022-02-23
Category : Mathematics
ISBN : 9781000541694

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Introduction To Linear Algebra by Mark J. DeBonis Pdf

Introduction to Linear Algebra: Computation, Application, and Theory is designed for students who have never been exposed to the topics in a linear algebra course. The text is filled with interesting and diverse application sections but is also a theoretical text which aims to train students to do succinct computation in a knowledgeable way. After completing the course with this text, the student will not only know the best and shortest way to do linear algebraic computations but will also know why such computations are both effective and successful. Features: Includes cutting edge applications in machine learning and data analytics Suitable as a primary text for undergraduates studying linear algebra Requires very little in the way of pre-requisites

Author : Gilbert Strang
Publisher : Wellesley College
Page : 488 pages
File Size : 51,7 Mb
Release : 1993
Category : Mathematics
ISBN : STANFORD:36105007523389

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Introduction to Linear Algebra by Gilbert Strang Pdf

Book Description: Gilbert Strang's textbooks have changed the entire approach to learning linear algebra -- away from abstract vector spaces to specific examples of the four fundamental subspaces: the column space and nullspace of A and A'. Introduction to Linear Algebra, Fourth Edition includes challenge problems to complement the review problems that have been highly praised in previous editions. The basic course is followed by seven applications: differential equations, engineering, graph theory, statistics, Fourier methods and the FFT, linear programming, and computer graphics. Thousands of teachers in colleges and universities and now high schools are using this book, which truly explains this crucial subject.

Author : Stephen Boyd,Lieven Vandenberghe
Publisher : Cambridge University Press
Page : 477 pages
File Size : 40,9 Mb
Release : 2018-06-07
Category : Business & Economics
ISBN : 9781316518960

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Introduction to Applied Linear Algebra by Stephen Boyd,Lieven Vandenberghe Pdf

A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.

Author : Derek J S Robinson
Publisher : World Scientific
Page : 372 pages
File Size : 50,8 Mb
Release : 2006-08-15
Category : Mathematics
ISBN : 9789814365444

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A Course in Linear Algebra with Applications by Derek J S Robinson Pdf

This is the second edition of the best-selling introduction to linear algebra. Presupposing no knowledge beyond calculus, it provides a thorough treatment of all the basic concepts, such as vector space, linear transformation and inner product. The concept of a quotient space is introduced and related to solutions of linear system of equations, and a simplified treatment of Jordan normal form is given. Numerous applications of linear algebra are described, including systems of linear recurrence relations, systems of linear differential equations, Markov processes, and the Method of Least Squares. An entirely new chapter on linear programing introduces the reader to the simplex algorithm with emphasis on understanding the theory behind it. The book is addressed to students who wish to learn linear algebra, as well as to professionals who need to use the methods of the subject in their own fields.

Author : Serge Lang
Publisher : Springer Science & Business Media
Page : 300 pages
File Size : 47,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461210702

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Introduction to Linear Algebra by Serge Lang Pdf

This is a short text in linear algebra, intended for a one-term course. In the first chapter, Lang discusses the relation between the geometry and the algebra underlying the subject, and gives concrete examples of the notions which appear later in the book. He then starts with a discussion of linear equations, matrices and Gaussian elimination, and proceeds to discuss vector spaces, linear maps, scalar products, determinants, and eigenvalues. The book contains a large number of exercises, some of the routine computational type, while others are conceptual.

Author : Gordon Mills
Publisher : Unknown
Page : 246 pages
File Size : 48,7 Mb
Release : 1969
Category : Algebra, Linear
ISBN : UCAL:B5008840

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Introduction to Linear Algebra by Gordon Mills Pdf

Author : Steven Roman
Publisher : Harcourt Brace College Publishers
Page : 522 pages
File Size : 55,6 Mb
Release : 1988
Category : Algebras, Linear
ISBN : PSU:000015888013

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An Introduction to Linear Algebra with Applications by Steven Roman Pdf

Author : Steven Roman
Publisher : Unknown
Page : 504 pages
File Size : 53,7 Mb
Release : 1988-02
Category : Algebras, Linear
ISBN : 0155427377

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An Introduction to Linear Algebra with Applications by Steven Roman Pdf

Author : Gordon Mills
Publisher : Routledge
Page : 181 pages
File Size : 40,6 Mb
Release : 2017-07-12
Category : Mathematics
ISBN : 9781351511568

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Introduction to Linear Algebra by Gordon Mills Pdf

This is the first book on linear algebra written specifically for social scientists. It deals only with those aspects of the subject applicable in the social sciences and provides a thorough understanding of linear algebra for those who wish to use it as a tool in the design, execution, and interpretation of research. Linear mathematical models play an important role in all of the social sciences. This book provides a step-by-step introduction to those parts of linear algebra which are useful in such model building. It illustrates some of the applications of linear analysis and helps the reader learn how to convert his formulation of a social science problem into algebraic terms. The author covers matrix algebra, computational methods, linear models involving discrete variables, and clear, complete explanations of necessary mathematical concepts. Prior knowledge of calculus is not required since no use is made of calculus or of complex numbers. A novel feature of the mathematical content of the book is the treatment of models expressed in terms of variables which must be whole numbers (integers). The book is distinguished by a step-by-step exposition that allows the reader to grasp quickly and fully the principles of linear algebra. All of the examples used to illustrate the text are drawn from the social sciences, enabling the reader to relate the subject to concrete problems in his field. Exercises are included as a necessary part of the text to develop points not covered in the text and to provide practice in the algebraic formulation of applied problems. An appendix gives solutions (or hints) for selected exercises.

Author : Titu Andreescu
Publisher : Springer
Page : 491 pages
File Size : 43,9 Mb
Release : 2014-10-14
Category : Mathematics
ISBN : 9780817646363

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Essential Linear Algebra with Applications by Titu Andreescu Pdf

Rooted in a pedagogically successful problem-solving approach to linear algebra, the present work fills a gap in the literature that is sharply divided between elementary texts and books that are too advanced to appeal to a wide audience. It clearly develops the theoretical foundations of vector spaces, linear equations, matrix algebra, eigenvectors, and orthogonality, while simultaneously emphasizing applications and connections to fields such as biology, economics, computer graphics, electrical engineering, cryptography, and political science. Ideal as an introduction to linear algebra, the extensive exercises and well-chosen applications also make this text suitable for advanced courses at the junior or senior undergraduate level. Furthermore, it can serve as a colorful supplementary problem book, reference, or self-study manual for professional scientists and mathematicians. Complete with bibliography and index, "Essential Linear Algebra with Applications" is a natural bridge between pure and applied mathematics and the natural and social sciences, appropriate for any student or researcher who needs a strong footing in the theory, problem-solving, and model-building that are the subject’s hallmark.

Author : Bernard Kolman
Publisher : Prentice Hall
Page : 436 pages
File Size : 43,5 Mb
Release : 2001-04-23
Category : Electronic
ISBN : 0130328537

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Introductory Linear Algebra by Bernard Kolman Pdf

Author : Stephen H. Friedberg,Arnold J. Insel
Publisher : Prentice Hall
Page : 496 pages
File Size : 47,9 Mb
Release : 1986
Category : Mathematics
ISBN : UOM:39015017305825

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Introduction to Linear Algebra with Applications by Stephen H. Friedberg,Arnold J. Insel Pdf

Author : Gareth Williams
Publisher : Jones & Bartlett Learning
Page : 554 pages
File Size : 51,5 Mb
Release : 2011-08-24
Category : Mathematics
ISBN : 0763782483

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Linear Algebra with Applications by Gareth Williams Pdf

Revised and edited, Linear Algebra with Applications, Seventh Edition is designed for the introductory course in linear algebra and is organized into 3 natural parts. Part 1 introduces the basics, presenting systems of linear equations, vectors and subspaces of Rn, matrices, linear transformations, determinants, and eigenvectors. Part 2 builds on this material, introducing the concept of general vector spaces, discussing properties of bases, developing the rank/nullity theorem and introducing spaces of matrices and functions. Part 3 completes the course with many of the important ideas and methods of numerical linear algebra, such as ill-conditioning, pivoting, and LU decomposition. Offering 28 core sections, the Seventh Edition successfully blends theory, important numerical techniques, and interesting applications making it ideal for engineers, scientists, and a variety of other majors.