Linear Algebra Gems

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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

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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

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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)

Problems In Linear Algebra And Matrix Theory

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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

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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.

Linear Algebra

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Publisher : Butterworth-Heinemann
ISBN 13 : 0080571794
Total Pages : 241 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Linear Algebra by : Reg Allenby

Download or read book Linear Algebra written by Reg Allenby and published by Butterworth-Heinemann. This book was released on 1995-01-05 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: As the basis of equations (and therefore problem-solving), linear algebra is the most widely taught sub-division of pure mathematics. Dr Allenby has used his experience of teaching linear algebra to write a lively book on the subject that includes historical information about the founders of the subject as well as giving a basic introduction to the mathematics undergraduate. The whole text has been written in a connected way with ideas introduced as they occur naturally. As with the other books in the series, there are many worked examples.

Linear Algebra and Its Applications

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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.

Linear Algebra in Action

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Publisher : American Mathematical Soc.
ISBN 13 : 1470409089
Total Pages : 610 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Linear Algebra in Action by : Harry Dym

Download or read book Linear Algebra in Action written by Harry Dym and published by American Mathematical Soc.. This book was released on 2013-12-31 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear algebra permeates mathematics, perhaps more so than any other single subject. It plays an essential role in pure and applied mathematics, statistics, computer science, and many aspects of physics and engineering. This book conveys in a user-friendly way the basic and advanced techniques of linear algebra from the point of view of a working analyst. The techniques are illustrated by a wide sample of applications and examples that are chosen to highlight the tools of the trade. In short, this is material that many of us wish we had been taught as graduate students. Roughly the first third of the book covers the basic material of a first course in linear algebra. The remaining chapters are devoted to applications drawn from vector calculus, numerical analysis, control theory, complex analysis, convexity and functional analysis. In particular, fixed point theorems, extremal problems, matrix equations, zero location and eigenvalue location problems, and matrices with nonnegative entries are discussed. Appendices on useful facts from analysis and supplementary information from complex function theory are also provided for the convenience of the reader. In this new edition, most of the chapters in the first edition have been revised, some extensively. The revisions include changes in a number of proofs, either to simplify the argument, to make the logic clearer or, on occasion, to sharpen the result. New introductory sections on linear programming, extreme points for polyhedra and a Nevanlinna-Pick interpolation problem have been added, as have some very short introductory sections on the mathematics behind Google, Drazin inverses, band inverses and applications of SVD together with a number of new exercises.

Linear Algebra

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Publisher : Springer Science & Business Media
ISBN 13 : 1475712006
Total Pages : 375 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Linear Algebra by : Jin Ho Kwak

Download or read book Linear Algebra written by Jin Ho Kwak and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear algebra is one of the most important subjects in the study of science and engineering because of its widespread applications in social or natural science, computer science, physics, or economics. As one of the most useful courses in undergraduate mathematics, it has provided essential tools for industrial scientists. The basic concepts of linear algebra are vector spaces, linear transformations, matrices and determinants, and they serve as an abstract language for stating ideas and solving problems. This book is based on the lectures delivered several years in a sophomore level linear algebra course designed for science and engineering students. The primary purpose of this book is to give a careful presentation of the basic concepts of linear algebra as a coherent part of mathematics, and to illustrate its power and usefulness through applications to other disciplines. We have tried to emphasize the computational skills along with the mathematical abstractions, which have also an integrity and beauty of their own. The book includes a variety of interesting applications with many examples not only to help students understand new concepts but also to practice wide applications of the subject to such areas as differential equations, statistics, geometry, and physics. Some of those applications may not be central to the mathematical development and may be omitted or selected in a syllabus at the discretion of the instructor.

Linear Algebra

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Publisher : John Wiley & Sons
ISBN 13 : 1119656931
Total Pages : 512 pages
Book Rating : 4.1/5 (196 download)

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Book Synopsis Linear Algebra by : Richard C. Penney

Download or read book Linear Algebra written by Richard C. Penney and published by John Wiley & Sons. This book was released on 2020-12-11 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the Third Edition "This volume is ground-breaking in terms of mathematical texts in that it does not teach from a detached perspective, but instead, looks to show students that competent mathematicians bring an intuitive understanding to the subject rather than just a master of applications." - Electric Review Learn foundational and advanced topics in linear algebra with this concise and approachable resource A comprehensive introduction, Linear Algebra: Ideas and Applications, Fifth Edition provides a discussion of the theory and applications of linear algebra that blends abstract and computational concepts. With a focus on the development of mathematical intuition, the book emphasizes the need to understand both the applications of a particular technique and the mathematical ideas underlying the technique. The book introduces each new concept in the context of explicit numerical examples, which allows the abstract concepts to grow organically out of the necessity to solve specific problems. The intuitive discussions are consistently followed by rigorous statements of results and proofs. Linear Algebra: Ideas and Applications, Fifth Edition also features: A new application section on section on Google’s Page Rank Algorithm. A new application section on pricing long term health insurance at a Continuing Care Retirement Community (CCRC). Many other illuminating applications of linear algebra with self-study questions for additional study. End-of-chapter summaries and sections with true-false questions to aid readers with further comprehension of the presented material Numerous computer exercises throughout using MATLAB® code Linear Algebra: Ideas and Applications, Fifth Edition is an excellent undergraduate-level textbook for one or two semester undergraduate courses in mathematics, science, computer science, and engineering. With an emphasis on intuition development, the book is also an ideal self-study reference.

Linear Algebra and It's Applications Plus MyMathLab Student Access Code

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Author :
Publisher : Pearson Education
ISBN 13 : 9781408280560
Total Pages : 592 pages
Book Rating : 4.2/5 (85 download)

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Book Synopsis Linear Algebra and It's Applications Plus MyMathLab Student Access Code by : David C. Lay

Download or read book Linear Algebra and It's Applications Plus MyMathLab Student Access Code written by David C. Lay and published by Pearson Education. This book was released on 2011-02-24 with total page 592 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.

Lay:Linear Algebra and Its Applications

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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.

Introduction to Linear Algebra

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Publisher : Wellesley-Cambridge Press
ISBN 13 : 9780980232776
Total Pages : 0 pages
Book Rating : 4.2/5 (327 download)

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Book Synopsis Introduction to Linear Algebra by : Gilbert Strang

Download or read book Introduction to Linear Algebra written by Gilbert Strang and published by Wellesley-Cambridge Press. This book was released on 2016-08-11 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear algebra is something all mathematics undergraduates and many other students, in subjects ranging from engineering to economics, have to learn. The fifth edition of this hugely successful textbook retains all the qualities of earlier editions, while at the same time seeing numerous minor improvements and major additions. The latter include: • A new chapter on singular values and singular vectors, including ways to analyze a matrix of data • A revised chapter on computing in linear algebra, with professional-level algorithms and code that can be downloaded for a variety of languages • A new section on linear algebra and cryptography • A new chapter on linear algebra in probability and statistics. A dedicated and active website also offers solutions to exercises as well as new exercises from many different sources (including practice problems, exams, and development of textbook examples), plus codes in MATLAB®, Julia, and Python.

Handbook of Linear Algebra

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Publisher : CRC Press
ISBN 13 : 1466507292
Total Pages : 1838 pages
Book Rating : 4.4/5 (665 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 2013-11-26 with total page 1838 pages. Available in PDF, EPUB and Kindle. Book excerpt: With a substantial amount of new material, the Handbook of Linear Algebra, Second Edition provides comprehensive coverage of linear algebra concepts, applications, and computational software packages in an easy-to-use format. It guides you from the very elementary aspects of the subject to the frontiers of current research. Along with revisions and

Linear Models and the Relevant Distributions and Matrix Algebra

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Publisher : CRC Press
ISBN 13 : 1000983757
Total Pages : 242 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis Linear Models and the Relevant Distributions and Matrix Algebra by : David A. Harville

Download or read book Linear Models and the Relevant Distributions and Matrix Algebra written by David A. Harville and published by CRC Press. This book was released on 2023-10-23 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: • Exercises and solutions are included throughout, from both the first and second volume • Includes coverage of additional topics not covered in the first volume • Highly valuable as a reference book for graduate students or researchers

Linear Algebra

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Publisher : Courier Corporation
ISBN 13 : 048663518X
Total Pages : 404 pages
Book Rating : 4.4/5 (866 download)

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Book Synopsis Linear Algebra by : Georgi? Evgen?evich Shilov

Download or read book Linear Algebra written by Georgi? Evgen?evich Shilov and published by Courier Corporation. This book was released on 1977-06-01 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers determinants, linear spaces, systems of linear equations, linear functions of a vector argument, coordinate transformations, the canonical form of the matrix of a linear operator, bilinear and quadratic forms, Euclidean spaces, unitary spaces, quadratic forms in Euclidean and unitary spaces, finite-dimensional space. Problems with hints and answers.

Linear and Geometric Algebra

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Publisher : CreateSpace
ISBN 13 : 9781453854938
Total Pages : 204 pages
Book Rating : 4.8/5 (549 download)

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Book Synopsis Linear and Geometric Algebra by : Alan MacDonald

Download or read book Linear and Geometric Algebra written by Alan MacDonald and published by CreateSpace. This book was released on 2011-01-19 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook for the first undergraduate linear algebra course presents a unified treatment of linear algebra and geometric algebra, while covering most of the usual linear algebra topics. Geometric algebra is an extension of linear algebra. It enhances the treatment of many linear algebra topics. And geometric algebra does much more. Geometric algebra and its extension to geometric calculus unify, simplify, and generalize vast areas of mathematics that involve geometric ideas. They provide a unified mathematical language for many areas of physics, computer science, and other fields. The book can be used for self study by those comfortable with the theorem/proof style of a mathematics text. This is a second printing, corrected and slightly revised. Visit the book's web site for more information: http: //faculty.luther.edu/ macdonal/laga I commend Alan Macdonald for his excellent book! His exposition is clean and spare. He has done a fine job of engineering a gradual transition from standard views of linear algebra to the perspective of geometric algebra. The book is sufficiently conventional to be adopted as a textbook by an adventurous teacher without getting flack from colleagues. Yet it leads to gems of geometric algebra that are likely to delight thoughtful students and surprise even the most experienced instructors. -- David Hestenes, Distinguished Research Professor, Arizona State University