eBooks are accessible online, and many are available for download or 2 week check out.
A Concise Introduction to Linear Algebra by Géza SchayBuilding on the author's previousnbsp;edition on the subject (Introduction to Linearnbsp;Algebra, Jones & Bartlett, 1996),nbsp;this book offers anbsp;refreshingly concise textnbsp;suitable for a standard course in linear algebra,nbsp;presenting anbsp;carefully selectednbsp;array ofnbsp;essentialnbsp;topics that can be thoroughly covered in a single semester.nbsp;Although thenbsp;exposition generally falls in line with thenbsp;material recommended bynbsp;the Linear Algebra Curriculum Study Group,nbsp;itnbsp;notably deviatesnbsp;innbsp;providing annbsp;early emphasis on the geometricnbsp;foundations of linear algebra. This gives students a more intuitive understanding of the subject and enables annbsp;easier grasp of more abstract concepts covered later in the course. The focus throughout is rooted in the mathematical fundamentals,nbsp;but the text alsonbsp;investigates a number of interesting applications, including a section on computernbsp;graphics,nbsp;a chapter on numerical methods, and many exercises and examples using MATLAB. Meanwhile, manynbsp;visuals and problems (a complete solutions manual is available to instructors) are included to enhance and reinforce understanding throughout the book. Brief yet precise and rigorous,nbsp;thisnbsp;work is an ideal choice fornbsp;a one-semester course in linear algebra targeted primarily at math or physics majors.nbsp;It is a valuablenbsp;tool for any professor who teaches the subject.
Publication Date: 2018
A First Course in Linear Algebra by Ken KuttlerAll major topics of linear algebra are available in detail, as well as proofs of important theorems. In addition, connections to topics covered in advanced courses are introduced. The text is designed in a modular fashion to maximize flexibility and facilitate adaptation to a given course outline and student profile.
Each chapter begins with a list of student learning outcomes, and examples and diagrams are given throughout the text to reinforce ideas and provide guidance on how to approach various problems. Suggested exercises are included at the end of each section, with selected answers at the end of the text.
Publication Date: 2017
Linear Algebra by Juan Jorge SchäfferIn the spirit of the author’s Basic Language of Mathematics, this companion volume is a careful exposition of the concepts and processes of Linear Algebra. It stresses cautious and clear explanations, avoiding reliance on co-ordinates as much as possible, and with special, but not exclusive, attention to the finite-dimensional situation. It is intended to also serve as a conceptual and technical background for use in geometry and analysis as well as other applications.
Publication Date: 2014
Linear Algebra: Challenging Problems for Students by Fuzhen Zhang; F. ZhangLinear algebra is a prerequisite for students majoring in mathematics and is required of many undergraduate and first-year graduate students in statistics, engineering, and related areas. This fully updated and revised text defines the discipline's main terms, explains its key theorems, and provides over 425 example problems ranging from the elementary to some that may baffle even the most seasoned mathematicians. Vital concepts are highlighted at the beginning of each chapter and a final section contains hints for solving the problems as well as solutions to each example. Based on Fuzhen Zhang's experience teaching and researching algebra over the past two decades, Linear Algebra is the perfect examination study tool. Students in beginning and seminar-type advanced linear algebra classes and those seeking to brush up on the topic will find Zhang's plain discussions of the subject's theories refreshing and the problems diverse, interesting, and challenging.
Publication Date: 2009
Linear Algebra for Everyone by Lorenzo RobbianoThis 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.
Publication Date: 2010
The Linear Algebra Survival Guide by Fred SzaboThe Linear Algebra Survival Guide offers a concise introduction to the difficult core topics of linear algebra, guiding you through the powerful graphic displays and visualization of Mathematica that make the most abstract theories seem simple - allowing you to tackle realistic problems using simple mathematical manipulations. This resource is therefore a guide to learning the content of Mathematica in a practical way, enabling you to manipulate potential solutions/outcomes, and learn creatively. No starting knowledge of the Mathematica system is required to use the book. Desktop, laptop, web-based versions of Mathematica are available on all major platforms. Mathematica Online for tablet and smartphone systems are also under development and increases the reach of the guide as a general reference, teaching and learning tool.
Publication Date: 2015
Circulating books may be checked out in 3 week intervals.
Elements of Linear Algebra by P. M. CohnThis 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.
Call Number: QA184 .C63 1994
Publication Date: 1994
Introduction to Vector Analysis by John C. TallackThe first eight chapters of this book were originally published in 1966 as the successful Introduction to Elementary Vector Analysis. In 1970, the text was considerably expanded to include six new chapters covering additional techniques (the vector product and the triple products) and applications in pure and applied mathematics. It is that version which is reproduced here. The book provides a valuable introduction to vectors for teachers and students of mathematics, science and engineering in sixth forms, technical colleges, colleges of education and universities.
Call Number: QA 261 T3 1970
Publication Date: 1971
Linear Functions and Matrix Theory by Bill JacobCourses that study vectors and elementary matrix theory and introduce linear transformations have proliferated greatly in recent years. Most of these courses are taught at the undergraduate level as part of, or adjacent to, the second-year calculus sequence. Although many students will ultimately find the material in these courses more valuable than calculus, they often experience a class that consists mostly of learning to implement a series of computational algorithms. The objective of this text is to bring a different vision to this course, including many of the key elements called for in current mathematics-teaching reform efforts. Three of the main components of this current effort are the following: 1. Mathematical ideas should be introduced in meaningful contexts, with after a clear understanding formal definitions and procedures developed of practical situations has been achieved. 2. Every topic should be treated from different perspectives, including the numerical, geometric, and symbolic viewpoints. 3. The important ideas need to be visited repeatedly throughout the term, with students' understan9ing deepening each time. This text was written with these three objectives in mind. The first two chapters deal with situations requiring linear functions (at times, locally linear functions) or linear ideas in geometry for their understanding. These situations provide the context in which the formal mathematics is developed, and they are returned to with increasing sophistication throughout the text.
Call Number: QA184 .J333 1995
Publication Date: 1995
A Student's Guide to Vectors and Tensors by Daniel FleischVectors and tensors are among the most powerful problem-solving tools available, with applications ranging from mechanics and electromagnetics to general relativity. Understanding the nature and application of vectors and tensors is critically important to students of physics and engineering. Adopting the same approach used in his highly popular A Student's Guide to Maxwell's Equations, Fleisch explains vectors and tensors in plain language. Written for undergraduate and beginning graduate students, the book provides a thorough grounding in vectors and vector calculus before transitioning through contra and covariant components to tensors and their applications. Matrices and their algebra are reviewed on the book's supporting website, which also features interactive solutions to every problem in the text where students can work through a series of hints or choose to see the entire solution at once. Audio podcasts give students the opportunity to hear important concepts in the book explained by the author.
Call Number: QA200 .F59 2012
Publication Date: 2011
Thirty-Three Miniatures: Mathematical and Algorithmic Applications of Linear Algebra by Jiri MatousekThis volume contains a collection of clever mathematical applications of linear algebra, mainly in combinatorics, geometry, and algorithms. Each chapter covers a single main result with motivation and full proof in at most ten pages and can be read independently of all other chapters (with minor exceptions), assuming only a modest background in linear algebra. The topics include a number of well-known mathematical gems, such as Hamming codes, the matrix-tree theorem, the Lovasz bound on the Shannon capacity, and a counterexample to Borsuk's conjecture, as well as other, perhaps less popular but similarly beautiful results, e.g., fast associativity testing, a lemma of Steinitz on ordering vectors, a monotonicity result for integer partitions, or a bound for set pairs via exterior products. The simpler results in the first part of the book provide ample material to liven up an undergraduate course of linear algebra. The more advanced parts can be used for a graduate course of linear-algebraic methods or for seminar presentations. Table of Contents: Fibonacci numbers, quickly; Fibonacci numbers, the formula; The clubs of Oddtown; Same-size intersections; Error-correcting codes; Odd distances; Are these distances Euclidean?; Packing complete bipartite graphs; Equiangular lines; Where is the triangle?; Checking matrix multiplication; Tiling a rectangle by squares; Three Petersens are not enough; Petersen, Hoffman-Singleton, and maybe 57; Only two distances; Covering a cube minus one vertex; Medium-size intersection is hard to avoid; On the difficulty of reducing the diameter; The end of the small coins; Walking in the yard; Counting spanning trees; In how many ways can a man tile a board?; More bricks--more walls?; Perfect matchings and determinants; Turning a ladder over a finite field; Counting compositions; Is it associative?; The secret agent and umbrella; Shannon capacity of the union: a tale of two fields; Equilateral sets; Cutting cheaply using eigenvectors; Rotating the cube; Set pairs and exterior products; Index. (STML/53)
Linear functions are routinely used to model data, approximate change, and find the rate of change of a curve. In this program, Sharpie the Pencil shows students how to plot and sketch a linear graph from a linear equation and then how to derive a linear equation from a linear graph. In the process, the slope-intercept form of linear equation is illustrated, and the y-intercept and the gradient m are underscored as key ideas in determining the equation of a line. A part of the series Math.
2009, ClickView Pty Limited. 21 minutes.
This three-part series will help students get their heads around a trio of foundational aspects of intermediate-level math: linear functions, the Pythagorean Theorem, and ratio and proportion. Each of these serious mathematical tools is presented in a light-hearted fashion to hold viewers’ attention, while on-screen examples make sure the information sinks in.
2009, ClickView Pty Limited. 3-part series, 16-21 minutes each.