Introductory Linear Algebra With Applications
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Author | : Stephen Boyd |
Publisher | : Cambridge University Press |
Total Pages | : 477 |
Release | : 2018-06-07 |
Genre | : Business & Economics |
ISBN | : 1316518965 |
A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.
Author | : Bernard Kolman |
Publisher | : |
Total Pages | : 577 |
Release | : 2001 |
Genre | : Algebras, Linear |
ISBN | : 9780130337061 |
For undergraduate-level courses in Linear Algebra. This book provides an applied introduction to the basic ideas, computational techniques, and applications of linear algebra.
Author | : Bernard Kolman |
Publisher | : |
Total Pages | : 0 |
Release | : 2001 |
Genre | : Algebra, Linear |
ISBN | : 9780130182654 |
This text provides an introduction to the basic ideas, computational techniques, and applications of linear algebra. The most applied of our basic texts in this market, this text has a superb range of problem sets. Also, this book is extremely technology-friendly, integrating optional CAS and a robust website. Topics covered include wavelets; the Leslie Population Model; fractals; dynamical systems; linear equations and matrices; determinants; vectors; eigenvalues and eigenvectors; linear transformations and matrices; linear programming; and more. Ideal as an introduction to Linear Algebra.
Author | : Bernard Kolman |
Publisher | : |
Total Pages | : 566 |
Release | : 1980 |
Genre | : Mathematics |
ISBN | : |
Author | : Mark J. DeBonis |
Publisher | : CRC Press |
Total Pages | : 434 |
Release | : 2022-02-23 |
Genre | : Mathematics |
ISBN | : 100054169X |
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 | : Alan Tucker |
Publisher | : MacMillan Publishing Company |
Total Pages | : 570 |
Release | : 1988 |
Genre | : Algebras, Linear |
ISBN | : |
Author | : Nathaniel Johnston |
Publisher | : Springer Nature |
Total Pages | : 482 |
Release | : 2021-05-19 |
Genre | : Mathematics |
ISBN | : 3030528111 |
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 | : Jim DeFranza |
Publisher | : Waveland Press |
Total Pages | : 508 |
Release | : 2015-01-23 |
Genre | : Mathematics |
ISBN | : 1478628820 |
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 | : John Wesley Brown |
Publisher | : Prindle Weber & Schmidt |
Total Pages | : 454 |
Release | : 1984 |
Genre | : Mathematics |
ISBN | : 9780871507006 |
Author | : Gareth Williams |
Publisher | : Jones & Bartlett Learning |
Total Pages | : 554 |
Release | : 2011-08-24 |
Genre | : Mathematics |
ISBN | : 9780763782481 |
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.