Problems In Linear Algebra And Matrix Theory PDF Download
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Author | : Fuzhen Zhang |
Publisher | : World Scientific |
Total Pages | : 477 |
Release | : 2021-10-25 |
Genre | : Mathematics |
ISBN | : 981123910X |
Download Problems In Linear Algebra And Matrix Theory Book in PDF, ePub and Kindle
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.
Author | : Robert R. Stoll |
Publisher | : Courier Corporation |
Total Pages | : 290 |
Release | : 2012-10-17 |
Genre | : Mathematics |
ISBN | : 0486623181 |
Download Linear Algebra and Matrix Theory Book in PDF, ePub and Kindle
Advanced undergraduate and first-year graduate students have long regarded this text as one of the best available works on matrix theory in the context of modern algebra. Teachers and students will find it particularly suited to bridging the gap between ordinary undergraduate mathematics and completely abstract mathematics. The first five chapters treat topics important to economics, psychology, statistics, physics, and mathematics. Subjects include equivalence relations for matrixes, postulational approaches to determinants, and bilinear, quadratic, and Hermitian forms in their natural settings. The final chapters apply chiefly to students of engineering, physics, and advanced mathematics. They explore groups and rings, canonical forms for matrixes with respect to similarity via representations of linear transformations, and unitary and Euclidean vector spaces. Numerous examples appear throughout the text.
Author | : John M Erdman |
Publisher | : World Scientific |
Total Pages | : 220 |
Release | : 2020-09-28 |
Genre | : Mathematics |
ISBN | : 9811220425 |
Download Exercises And Problems In Linear Algebra Book in PDF, ePub and Kindle
This book contains an extensive collection of exercises and problems that address relevant topics in linear algebra. Topics that the author finds missing or inadequately covered in most existing books are also included. The exercises will be both interesting and helpful to an average student. Some are fairly routine calculations, while others require serious thought.The format of the questions makes them suitable for teachers to use in quizzes and assigned homework. Some of the problems may provide excellent topics for presentation and discussions. Furthermore, answers are given for all odd-numbered exercises which will be extremely useful for self-directed learners. In each chapter, there is a short background section which includes important definitions and statements of theorems to provide context for the following exercises and problems.
Author | : Fuzhen Zhang |
Publisher | : JHU Press |
Total Pages | : 192 |
Release | : 1996-08-22 |
Genre | : Mathematics |
ISBN | : 9780801854590 |
Download Linear Algebra Book in PDF, ePub and Kindle
"Linear algebra is an increasingly important part of any curriculum in mathematics in our days... A well-organized problem book, like this, will surely be welcomed by students as well as by instructors." -- Zentralblatt fuer Mathematik
Author | : Kevin O'Meara |
Publisher | : OUP USA |
Total Pages | : 423 |
Release | : 2011-09-16 |
Genre | : Mathematics |
ISBN | : 0199793735 |
Download Advanced Topics in Linear Algebra Book in PDF, ePub and Kindle
This book develops the Weyr matrix canonical form, a largely unknown cousin of the Jordan form. It explores novel applications, including include matrix commutativity problems, approximate simultaneous diagonalization, and algebraic geometry. Module theory and algebraic geometry are employed but with self-contained accounts.
Author | : Carl D. Meyer |
Publisher | : SIAM |
Total Pages | : 729 |
Release | : 2000-06-01 |
Genre | : Mathematics |
ISBN | : 0898714540 |
Download Matrix Analysis and Applied Linear Algebra Book in PDF, ePub and Kindle
This book avoids the traditional definition-theorem-proof format; instead a fresh approach introduces a variety of problems and examples all in a clear and informal style. The in-depth focus on applications separates this book from others, and helps students to see how linear algebra can be applied to real-life situations. Some of the more contemporary topics of applied linear algebra are included here which are not normally found in undergraduate textbooks. Theoretical developments are always accompanied with detailed examples, and each section ends with a number of exercises from which students can gain further insight. Moreover, the inclusion of historical information provides personal insights into the mathematicians who developed this subject. The textbook contains numerous examples and exercises, historical notes, and comments on numerical performance and the possible pitfalls of algorithms. Solutions to all of the exercises are provided, as well as a CD-ROM containing a searchable copy of the textbook.
Author | : Fuzhen Zhang |
Publisher | : Springer Science & Business Media |
Total Pages | : 290 |
Release | : 2013-03-14 |
Genre | : Mathematics |
ISBN | : 1475757972 |
Download Matrix Theory Book in PDF, ePub and Kindle
This volume concisely presents fundamental ideas, results, and techniques in linear algebra and mainly matrix theory. Each chapter focuses on the results, techniques, and methods that are beautiful, interesting, and representative, followed by carefully selected problems. For many theorems several different proofs are given. The only prerequisites are a decent background in elementary linear algebra and calculus.
Author | : I. N. Herstein |
Publisher | : MacMillan Publishing Company |
Total Pages | : 536 |
Release | : 1988 |
Genre | : Mathematics |
ISBN | : |
Download Matrix Theory and Linear Algebra Book in PDF, ePub and Kindle
Author | : Viktor Vasil_evich Prasolov |
Publisher | : American Mathematical Soc. |
Total Pages | : 250 |
Release | : 1994-06-13 |
Genre | : Mathematics |
ISBN | : 0821802364 |
Download Problems and Theorems in Linear Algebra Book in PDF, ePub and Kindle
There are a number of very good books available on linear algebra. However, new results in linear algebra appear constantly, as do new, simpler, and better proofs of old results. Many of these results and proofs obtained in the past thirty years are accessible to undergraduate mathematics majors, but are usually ignored by textbooks. In addition, more than a few interesting old results are not covered in many books. In this book, the author provides the basics of linear algebra, with an emphasis on new results and on nonstandard and interesting proofs. The book features about 230 problems with complete solutions. It can serve as a supplementary text for an undergraduate or graduate algebra course.
Author | : Tom Lyche |
Publisher | : Springer Nature |
Total Pages | : 376 |
Release | : 2020-03-02 |
Genre | : Mathematics |
ISBN | : 3030364682 |
Download Numerical Linear Algebra and Matrix Factorizations Book in PDF, ePub and Kindle
After reading this book, students should be able to analyze computational problems in linear algebra such as linear systems, least squares- and eigenvalue problems, and to develop their own algorithms for solving them. Since these problems can be large and difficult to handle, much can be gained by understanding and taking advantage of special structures. This in turn requires a good grasp of basic numerical linear algebra and matrix factorizations. Factoring a matrix into a product of simpler matrices is a crucial tool in numerical linear algebra, because it allows us to tackle complex problems by solving a sequence of easier ones. The main characteristics of this book are as follows: It is self-contained, only assuming that readers have completed first-year calculus and an introductory course on linear algebra, and that they have some experience with solving mathematical problems on a computer. The book provides detailed proofs of virtually all results. Further, its respective parts can be used independently, making it suitable for self-study. The book consists of 15 chapters, divided into five thematically oriented parts. The chapters are designed for a one-week-per-chapter, one-semester course. To facilitate self-study, an introductory chapter includes a brief review of linear algebra.