Linear Algebra Gems

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Linear Algebra Gems

Author : David H. Carlson
Publisher : Mathematical Association of America (MAA)
ISBN 13 :
Total Pages : 372 pages
Book Rating : 4.4/5 (91 download)

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Book Synopsis Linear Algebra Gems by : David H. Carlson

Download or read book Linear Algebra Gems written by David H. Carlson and published by Mathematical Association of America (MAA). This book was released on 2002 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Undergraduate linear algebra is both beautiful and replete with real world applications and connections to the rest of mathematics. The purpose of the present volume is to enrich the understanding of linear algebra for a wide audience by placing a broad collection of short items in the hands of teachers, students, and others who enjoy the subject. Because undergraduate linear algebra is so fundamental to the mathematics curriculum, it is often taught by non-specialists and specialists alike. "Linear Algebra Gems" offers to all teachers clever ways in which core ideas can be presented to their students. Most articles are accessible to those with modest preparation in linear algebra, including beginning students. However, many items will also contain pleasant surprises even to those well-versed in the subject. The editors have combed through the literature, and have selected from original submissions, to find expository articles and problems to enrich the reader's understanding. The seventy-three articles selected are organized into nine sections, with over 120 problems grouped into subject categories as a tenth section. Contributors to the volume include experts in the field and long-time teachers of linear algebra. The book was prepared as part of a broad contract with the National Science Foundation to improve undergraduate linear algebra education. The editors hope that many readers will find enjoyment from this collection."--Amazon.com viewed Oct. 26, 2020.

Linear Algebra and Its Applications

Author : David C. Lay
Publisher :
ISBN 13 : 9780321623355
Total Pages : 576 pages
Book Rating : 4.6/5 (233 download)

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Book Synopsis Linear Algebra and Its Applications by : David C. Lay

Download or read book Linear Algebra and Its Applications written by David C. Lay and published by . This book was released on 2012 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: Line algebra is relatively easy for students during the early stages of the course, when the material is presented in a familiar, concrete setting. But when abstract concepts are introduced, students often hit a brick wall. Instructors seem to agree that certain concepts are not easily understood, and require time to assimilate.

Thirty-three Miniatures

Author : Jiří Matoušek
Publisher : American Mathematical Soc.
ISBN 13 : 0821849778
Total Pages : 196 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Thirty-three Miniatures by : Jiří Matoušek

Download or read book Thirty-three Miniatures written by Jiří Matoušek and published by American Mathematical Soc.. This book was released on 2010 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 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 Algebra

Author : Hugo J. Woerdeman
Publisher : CRC Press
ISBN 13 : 1000345874
Total Pages : 284 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Linear Algebra by : Hugo J. Woerdeman

Download or read book Linear Algebra written by Hugo J. Woerdeman and published by CRC Press. This book was released on 2021-03-04 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is good reason to be excited about Linear Algebra. With the world becoming increasingly digital, Linear Algebra is gaining more and more importance. When we send texts, share video, do internet searches, there are Linear Algebra algorithms in the background that make it work. This concise introduction to Linear Algebra is authored by a leading researcher presents a book that covers all the requisite material for a first course on the topic in a more practical way. The book focuses on the development of the mathematical theory and presents many applications to assist instructors and students to master the material and apply it to their areas of interest, whether it be to further their studies in mathematics, science, engineering, statistics, economics, or other disciplines. Linear Algebra has very appealing features: •It is a solid axiomatic based mathematical theory that is accessible to a large variety of students. •It has a multitude of applications from many different fields, ranging from traditional science and engineering applications to more ‘daily life’ applications. •It easily allows for numerical experimentation through the use of a variety of readily available software (both commercial and open source). Several suggestions of different software are made. While MATLAB is certainly still a favorite choice, open-source programs such as Sage (especially among algebraists) and the Python libraries are increasingly popular. This text guides the student to try out different programs by providing specific commands.

Handbook of Linear Algebra

Author : Leslie Hogben
Publisher : CRC Press
ISBN 13 : 1420010573
Total Pages : 1402 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Handbook of Linear Algebra by : Leslie Hogben

Download or read book Handbook of Linear Algebra written by Leslie Hogben and published by CRC Press. This book was released on 2006-11-02 with total page 1402 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Linear Algebra provides comprehensive coverage of linear algebra concepts, applications, and computational software packages in an easy-to-use handbook format. The esteemed international contributors guide you from the very elementary aspects of the subject to the frontiers of current research. The book features an accessibl

Linear Algebra

Author :
Publisher : Pearson South Africa
ISBN 13 : 9781868910588
Total Pages : 104 pages
Book Rating : 4.9/5 (15 download)

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Book Synopsis Linear Algebra by :

Download or read book Linear Algebra written by and published by Pearson South Africa. This book was released on 2000 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Problems In Linear Algebra And Matrix Theory

Author : Fuzhen Zhang
Publisher : World Scientific
ISBN 13 : 981123910X
Total Pages : 477 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Problems In Linear Algebra And Matrix Theory by : Fuzhen Zhang

Download or read book Problems In Linear Algebra And Matrix Theory written by Fuzhen Zhang and published by World Scientific. This book was released on 2021-10-25 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the revised and expanded edition of the problem book Linear Algebra: Challenging Problems for Students, now entitled Problems in Linear Algebra and Matrix Theory. This new edition contains about fifty-five examples and many new problems, based on the author's lecture notes of Advanced Linear Algebra classes at Nova Southeastern University (NSU-Florida) and short lectures Matrix Gems at Shanghai University and Beijing Normal University.The book is intended for upper division undergraduate and beginning graduate students, and it can be used as text or supplement for a second course in linear algebra. Each chapter starts with Definitions, Facts, and Examples, followed by problems. Hints and solutions to all problems are also provided.

Linear Algebra and Its Applications

Author : David C. Lay
Publisher :
ISBN 13 : 9781292020556
Total Pages : 800 pages
Book Rating : 4.0/5 (25 download)

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Book Synopsis Linear Algebra and Its Applications by : David C. Lay

Download or read book Linear Algebra and Its Applications written by David C. Lay and published by . This book was released on 2013-07-29 with total page 800 pages. Available in PDF, EPUB and Kindle. Book excerpt: NOTE: This edition features the same content as the traditional text in a convenient, three-hole-punched, loose-leaf version. Books a la Carte also offer a great value--this format costs significantly less than a new textbook. Before purchasing, check with your instructor or review your course syllabus to ensure that you select the correct ISBN. Several versions of Pearson's MyLab & Mastering products exist for each title, including customized versions for individual schools, and registrations are not transferable. In addition, you may need a CourseID, provided by your instructor, to register for and use Pearson's MyLab & Mastering products. xxxxxxxxxxxxxxx For courses in linear algebra.This package includes MyMathLab(R). With traditional linear algebra texts, the course is relatively easy for students during the early stages as material is presented in a familiar, concrete setting. However, when abstract concepts are introduced, students often hit a wall. Instructors seem to agree that certain concepts (such as linear independence, spanning, subspace, vector space, and linear transformations) are not easily understood and require time to assimilate. These concepts are fundamental to the study of linear algebra, so students' understanding of them is vital to mastering the subject. This text makes these concepts more accessible by introducing them early in a familiar, concrete "Rn" setting, developing them gradually, and returning to them throughout the text so that when they are discussed in the abstract, students are readily able to understand. Personalize learning with MyMathLabMyMathLab is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. MyMathLab includes assignable algorithmic exercises, the complete eBook, interactive figures, tools to personalize learning, and more.

Lay:Linear Algebra and Its Applications

Author : David C. Lay
Publisher :
ISBN 13 : 9781447911234
Total Pages : 546 pages
Book Rating : 4.9/5 (112 download)

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Book Synopsis Lay:Linear Algebra and Its Applications by : David C. Lay

Download or read book Lay:Linear Algebra and Its Applications written by David C. Lay and published by . This book was released on 2012-01-27 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: This package includes Linear Algebra and Its Applications by Lay and the accompanying Student Study Guide. Linear algebra is relatively easy for students during the early stages of the course, when the material is presented in a familiar, concrete setting. But when abstract concepts are introduced, students often hit a brick wall. Instructors seem to agree that certain concepts (such as linear independence, spanning, subspace, vector space, and linear transformations), are not easily understood, and require time to assimilate. Since they are fundamental to the study of linear algebra, students' understanding of these concepts is vital to their mastery of the subject. David Lay introduces these concepts early in a familiar, concrete Rn setting, develops them gradually, and returns to them again and again throughout the text so that when discussed in the abstract, these concepts are more accessible. An integral part of this text, the Study Guide incorporates detailed solutions to every third odd-numbered exercise, as well as solutions to every odd-numbered writing exercise for which the main text only provides a hint.

Applied Linear Algebra

Author : Peter J. Olver
Publisher : Springer
ISBN 13 : 3319910418
Total Pages : 679 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Applied Linear Algebra by : Peter J. Olver

Download or read book Applied Linear Algebra written by Peter J. Olver and published by Springer. This book was released on 2018-05-30 with total page 679 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook develops the essential tools of linear algebra, with the goal of imparting technique alongside contextual understanding. Applications go hand-in-hand with theory, each reinforcing and explaining the other. This approach encourages students to develop not only the technical proficiency needed to go on to further study, but an appreciation for when, why, and how the tools of linear algebra can be used across modern applied mathematics. Providing an extensive treatment of essential topics such as Gaussian elimination, inner products and norms, and eigenvalues and singular values, this text can be used for an in-depth first course, or an application-driven second course in linear algebra. In this second edition, applications have been updated and expanded to include numerical methods, dynamical systems, data analysis, and signal processing, while the pedagogical flow of the core material has been improved. Throughout, the text emphasizes the conceptual connections between each application and the underlying linear algebraic techniques, thereby enabling students not only to learn how to apply the mathematical tools in routine contexts, but also to understand what is required to adapt to unusual or emerging problems. No previous knowledge of linear algebra is needed to approach this text, with single-variable calculus as the only formal prerequisite. However, the reader will need to draw upon some mathematical maturity to engage in the increasing abstraction inherent to the subject. Once equipped with the main tools and concepts from this book, students will be prepared for further study in differential equations, numerical analysis, data science and statistics, and a broad range of applications. The first author’s text, Introduction to Partial Differential Equations, is an ideal companion volume, forming a natural extension of the linear mathematical methods developed here.

Linear Algebra

Author : Michael E. Taylor
Publisher :
ISBN 13 : 9781470459185
Total Pages : pages
Book Rating : 4.4/5 (591 download)

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Book Synopsis Linear Algebra by : Michael E. Taylor

Download or read book Linear Algebra written by Michael E. Taylor and published by . This book was released on 2020 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This text develops linear algebra with the view that it is an important gateway connecting elementary mathematics to more advanced subjects, such as advanced calculus, systems of differential equations, differential geometry, and group representations. The purpose of this book is to provide a treatment of this subject in sufficient depth to prepare the reader to tackle such further material. The text starts with vector spaces, over the sets of real and complex numbers, and linear transformations between such vector spaces. Later on, this setting is extended to general fields. The reader will b

Linear Algebra

Author : Michael L. O'Leary
Publisher : John Wiley & Sons
ISBN 13 : 1119437601
Total Pages : 464 pages
Book Rating : 4.1/5 (194 download)

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Book Synopsis Linear Algebra by : Michael L. O'Leary

Download or read book Linear Algebra written by Michael L. O'Leary and published by John Wiley & Sons. This book was released on 2021-05-04 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: LINEAR ALGEBRA EXPLORE A COMPREHENSIVE INTRODUCTORY TEXT IN LINEAR ALGEBRA WITH COMPELLING SUPPLEMENTARY MATERIALS, INCLUDING A COMPANION WEBSITE AND SOLUTIONS MANUALS Linear Algebra delivers a fulsome exploration of the central concepts in linear algebra, including multidimensional spaces, linear transformations, matrices, matrix algebra, determinants, vector spaces, subspaces, linear independence, basis, inner products, and eigenvectors. While the text provides challenging problems that engage readers in the mathematical theory of linear algebra, it is written in an accessible and simple-to-grasp fashion appropriate for junior undergraduate students. An emphasis on logic, set theory, and functions exists throughout the book, and these topics are introduced early to provide students with a foundation from which to attack the rest of the material in the text. Linear Algebra includes accompanying material in the form of a companion website that features solutions manuals for students and instructors. Finally, the concluding chapter in the book includes discussions of advanced topics like generalized eigenvectors, Schur’s Lemma, Jordan canonical form, and quadratic forms. Readers will also benefit from the inclusion of: A thorough introduction to logic and set theory, as well as descriptions of functions and linear transformations An exploration of Euclidean spaces and linear transformations between Euclidean spaces, including vectors, vector algebra, orthogonality, the standard matrix, Gauss-Jordan elimination, inverses, and determinants Discussions of abstract vector spaces, including subspaces, linear independence, dimension, and change of basis A treatment on defining geometries on vector spaces, including the Gram-Schmidt process Perfect for undergraduate students taking their first course in the subject matter, Linear Algebra will also earn a place in the libraries of researchers in computer science or statistics seeking an accessible and practical foundation in linear algebra.

Basic Linear Algebra

Author : T.S. Blyth
Publisher : Springer Science & Business Media
ISBN 13 : 9781852336622
Total Pages : 254 pages
Book Rating : 4.3/5 (366 download)

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Book Synopsis Basic Linear Algebra by : T.S. Blyth

Download or read book Basic Linear Algebra written by T.S. Blyth and published by Springer Science & Business Media. This book was released on 2002-06-26 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: Basic Linear Algebra is a text for first year students leading from concrete examples to abstract theorems, via tutorial-type exercises. More exercises (of the kind a student may expect in examination papers) are grouped at the end of each section. The book covers the most important basics of any first course on linear algebra, explaining the algebra of matrices with applications to analytic geometry, systems of linear equations, difference equations and complex numbers. Linear equations are treated via Hermite normal forms which provides a successful and concrete explanation of the notion of linear independence. Another important highlight is the connection between linear mappings and matrices leading to the change of basis theorem which opens the door to the notion of similarity. This new and revised edition features additional exercises and coverage of Cramer's rule (omitted from the first edition). However, it is the new, extra chapter on computer assistance that will be of particular interest to readers: this will take the form of a tutorial on the use of the "LinearAlgebra" package in MAPLE 7 and will deal with all the aspects of linear algebra developed within the book.

Elementary Linear Algebra

Author : Howard Anton
Publisher : John Wiley & Sons
ISBN 13 : 1119282365
Total Pages : 802 pages
Book Rating : 4.1/5 (192 download)

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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 2019-02-20 with total page 802 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elementary Linear Algebra: Applications Version, 12th 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.

Elementary Linear Algebra

Author : Howard Anton
Publisher : John Wiley & Sons
ISBN 13 : 1118677307
Total Pages : 608 pages
Book Rating : 4.1/5 (186 download)

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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.

Linear Algebra Done Right

Author : Sheldon Axler
Publisher : Springer Science & Business Media
ISBN 13 : 9780387982595
Total Pages : 276 pages
Book Rating : 4.9/5 (825 download)

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Book Synopsis Linear Algebra Done Right by : Sheldon Axler

Download or read book Linear Algebra Done Right written by Sheldon Axler and published by Springer Science & Business Media. This book was released on 1997-07-18 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text for a second course in linear algebra, aimed at math majors and graduates, adopts a novel approach by banishing determinants to the end of the book and focusing on understanding the structure of linear operators on vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. For example, the book presents - without having defined determinants - a clean proof that every linear operator on a finite-dimensional complex vector space has an eigenvalue. The book starts by discussing vector spaces, linear independence, span, basics, and dimension. Students are introduced to inner-product spaces in the first half of the book and shortly thereafter to the finite- dimensional spectral theorem. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. This second edition features new chapters on diagonal matrices, on linear functionals and adjoints, and on the spectral theorem; some sections, such as those on self-adjoint and normal operators, have been entirely rewritten; and hundreds of minor improvements have been made throughout the text.

Linear Algebra: Concepts and Applications

Author : Przemyslaw Bogacki
Publisher : American Mathematical Soc.
ISBN 13 : 1470443848
Total Pages : 383 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Linear Algebra: Concepts and Applications by : Przemyslaw Bogacki

Download or read book Linear Algebra: Concepts and Applications written by Przemyslaw Bogacki and published by American Mathematical Soc.. This book was released on 2019-01-24 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.