Essential Linear Algebra with Applications

A Problem-Solving Approach

Author: Titu Andreescu

Publisher: Springer

ISBN: 0817646361

Category: Mathematics

Page: 491

View: 3798

Rooted in a pedagogically successful problem-solving approach to linear algebra, the present work fills a gap in the literature that is sharply divided between elementary texts and books that are too advanced to appeal to a wide audience. It clearly develops the theoretical foundations of vector spaces, linear equations, matrix algebra, eigenvectors, and orthogonality, while simultaneously emphasizing applications and connections to fields such as biology, economics, computer graphics, electrical engineering, cryptography, and political science. Ideal as an introduction to linear algebra, the extensive exercises and well-chosen applications also make this text suitable for advanced courses at the junior or senior undergraduate level. Furthermore, it can serve as a colorful supplementary problem book, reference, or self-study manual for professional scientists and mathematicians. Complete with bibliography and index, "Essential Linear Algebra with Applications" is a natural bridge between pure and applied mathematics and the natural and social sciences, appropriate for any student or researcher who needs a strong footing in the theory, problem-solving, and model-building that are the subject’s hallmark.

3,000 Solved Problems in Linear Algebra

Author: Seymour Lipschutz

Publisher: McGraw Hill Professional

ISBN: 9780070380233

Category: Mathematics

Page: 480

View: 1740

Covers vectors, matrix algebra, linear-algebra, linear-equations, determinants, mappings, canonical forms, linear functions, and quadratic forms

Linear Algebra Problem Book

Author: Paul R. Halmos

Publisher: MAA

ISBN: 9780883853221

Category: Mathematics

Page: 336

View: 3209

Takes the student step by step from basic axioms to advanced concepts. 164 problems, each with hints and full solutions.

Schaum's Outline of Linear Algebra, 5th Edition

612 Solved Problems + 25 Videos

Author: Seymour Lipschutz,Marc Lipson

Publisher: McGraw Hill Professional

ISBN: 0071794573

Category: Study Aids

Page: 432

View: 7620

Tough Test Questions? Missed Lectures? Not Enough Time? Fortunately, there's Schaum's. This all-in-one-package includes 612 fully solved problems, examples, and practice exercises to sharpen your problem-solving skills. Plus, you will have access to 25 detailed videos featuring Math instructors who explain how to solve the most commonly tested problems--it's just like having your own virtual tutor! You'll find everything you need to build confidence, skills, and knowledge for the highest score possible. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills. This Schaum's Outline gives you 612 fully solved problems Concise explanations of all course concepts Support for all major textbooks for linear algebra courses Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time--and get your best test scores!

Handbook on Parallel and Distributed Processing

Author: Jacek Blazewicz,Klaus Ecker,Brigitte Plateau,Denis Trystram

Publisher: Springer Science & Business Media

ISBN: 3662043033

Category: Computers

Page: 635

View: 4881

Here, authors from academia and practice provide practitioners, scientists and graduates with basic methods and paradigms, as well as important issues and trends across the spectrum of parallel and distributed processing. In particular, they cover such fundamental topics as efficient parallel algorithms, languages for parallel processing, parallel operating systems, architecture of parallel and distributed systems, management of resources, tools for parallel computing, parallel database systems and multimedia object servers, as well as the relevant networking aspects. A chapter is dedicated to each of parallel and distributed scientific computing, high-performance computing in molecular sciences, and multimedia applications for parallel and distributed systems.

A Reference Guide to Vector Algebra

Author: Trevor P. Humphreys

Publisher: Jain Publishing Company

ISBN: 9780875730950

Category: Mathematics

Page: 200

View: 1789

A Reference Guide to Vector Algebra is an introductory vector algebra handbook that also serves as a companion guide to solving vector algebra problems using the accompanying Vector Algebra Tools software. It is written to complement AP high-school and first year college curriculum topics in vector algebra and can be conveniently used as a quick reference guide to vector algebra concepts, methods, laws and problem solving applications in geometry, physics and engineering. Clear and illustrative figures are used throughout the text to emphasis the vector algebra concepts and problem solving applications. In addition, numerous worked examples of varying difficulty are included to augment the student's understanding of vector algebra topics and to develop the student's problem solving skills through the use of the Vector Algebra Tools. The Vector Algebra Tools themselves comprise of a comprehensive set of specialized vector calculators that facilitates the algebraic determination and manipulation of vectors quantities. Therefore, whether you are studying vectors for the first time or you want to improve your proficiency in vector algebra, this reference guide and the accompanying Vector Algebra Tools will help you acquire a better understanding of vectors and their applications.

Linear Algebra

Author: Reg Allenby

Publisher: Butterworth-Heinemann

ISBN: 0080571794

Category: Mathematics

Page: 240

View: 2037

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 For Dummies

Author: Mary Jane Sterling

Publisher: John Wiley & Sons

ISBN: 0470538163

Category: Mathematics

Page: 384

View: 9112

Learn to: Solve linear algebra equations in several ways Put data in order with matrices Determine values with determinants Work with eigenvalues and eigenvectors Your hands-on guide to real-world applications of linear algebra Does linear algebra leave you feeling lost? No worries —this easy-to-follow guide explains the how and the why of solving linear algebra problems in plain English. From matrices to vector spaces to linear transformations, you'll understand the key concepts and see how they relate to everything from genetics to nutrition to spotted owl extinction. Line up the basics — discover several different approaches to organizing numbers and equations, and solve systems of equations algebraically or with matrices Relate vectors and linear transformations — link vectors and matrices with linear combinations and seek solutions of homogeneous systems Evaluate determinants — see how to perform the determinant function on different sizes of matrices and take advantage of Cramer's rule Hone your skills with vector spaces — determine the properties of vector spaces and their subspaces and see linear transformation in action Tackle eigenvalues and eigenvectors — define and solve for eigenvalues and eigenvectors and understand how they interact with specific matrices Open the book and find: Theoretical and practical ways of solving linear algebra problems Definitions of terms throughout and in the glossary New ways of looking at operations How linear algebra ties together vectors, matrices, determinants, and linear transformations Ten common mathematical representations of Greek letters Real-world applications of matrices and determinants

Linear Algebra

Author: N.A

Publisher: Pearson South Africa

ISBN: 9781868910588

Category: Algebras, Linear

Page: 87

View: 5738

Grundlagen der Linearen Algebra für Dummies

Author: Mary Jane Sterling

Publisher: VCH

ISBN: 9783527706204

Category:

Page: 342

View: 1452

Für so manchen Zeitgenossen ist das Land Mathematien wüst und grau und der Weg, die Lineare Algebra zu verstehen, ist besonders stolpersteinig und öd. Aber haben Sie erst einmal die Grundlagen verstanden, ist der Rest nur noch halb so schwer. Mary Jane Sterling hilft Ihnen in diesem Buch auf die Sprünge. Sie erklärt Ihnen, wie Sie mit Vektoren rechnen, die Matrizenalgebra meistern, Linearkombinationen in ihre Schranken weisen, sich behende im Vektorraum bewegen, Eigenwert und Eigenvektor zu guten Freunden machen und vieles mehr. Stellen Sie mit diesem Buch Ihre Kenntnisse der Linearen Algebra auf eine solide Grundlage.

Intelligent Routines II

Solving Linear Algebra and Differential Geometry with Sage

Author: George A. Anastassiou,Iuliana F. Iatan

Publisher: Springer Science & Business Media

ISBN: 3319019678

Category: Computers

Page: 306

View: 3650

“Intelligent Routines II: Solving Linear Algebra and Differential Geometry with Sage” contains numerous of examples and problems as well as many unsolved problems. This book extensively applies the successful software Sage, which can be found free online http://www.sagemath.org/. Sage is a recent and popular software for mathematical computation, available freely and simple to use. This book is useful to all applied scientists in mathematics, statistics and engineering, as well for late undergraduate and graduate students of above subjects. It is the first such book in solving symbolically with Sage problems in Linear Algebra and Differential Geometry. Plenty of SAGE applications are given at each step of the exposition.

Linear Algebra

An Introduction Using Mathematica

Author: Fred Szabo

Publisher: Elsevier

ISBN: 9780126801378

Category: Computers

Page: 267

View: 5851

This book introduces interested readers, practitioners, and researchers to Mathematica methods for solving practical problems in linear algebra. It contains step-by-step solutions of problems in computer science, economics, engineering, mathematics, statistics, and other areas of application. Each chapter contains both elementary and more challenging problems, grouped by fields of application, and ends with a set of exercises. Selected answers are provided in an appendix. The book contains a glossary of definitions and theorem, as well as a summary of relevant Mathematica tools. Applications of Linear Algebra can be used both in laboratory sessions and as a source of take-home problems and projects. * Concentrates on problem solving and aims to increase the readers' analytical skills * Provides ample opportunities for applying theoretical results and transferring knowledge between different areas of application; Mathematica plays a key role in this process * Makes learning fun and builds confidence * Allows readers to tackle computationally challenging problems by minimizing the frustration caused by the arithmetic intricacies of numerical linear algebra

Solving Applied Mathematical Problems with MATLAB

Author: N.A

Publisher: CRC Press

ISBN: 9781420082517

Category: Mathematics

Page: 446

View: 6365

This textbook presents a variety of applied mathematics topics in science and engineering with an emphasis on problem solving techniques using MATLAB®. The authors provide a general overview of the MATLAB language and its graphics abilities before delving into problem solving, making the book useful for readers without prior MATLAB experience. They explain how to generate code suitable for various applications so that readers can apply the techniques to problems not covered in the book. Examples, figures, and MATLAB scripts enable readers with basic mathematics knowledge to solve various applied math problems in their fields while avoiding unnecessary technical details.

Computational Methods of Linear Algebra

Third Edition

Author: Granville Sewell

Publisher: World Scientific Publishing Company

ISBN: 9814603880

Category: Mathematics

Page: 328

View: 8413

This book presents methods for the computational solution of some important problems of linear algebra: linear systems, linear least squares problems, eigenvalue problems, and linear programming problems. The book also includes a chapter on the fast Fourier transform and a very practical introduction to the solution of linear algebra problems on modern supercomputers. The book contains the relevant theory for most of the methods employed. It also emphasizes the practical aspects involved in implementing the methods. Students using this book will actually see and write programs for solving linear algebraic problems. Highly readable FORTRAN and MATLAB codes are presented which solve all of the main problems studied.

Fundamentals and Linear Algebra for the Chemical Engineer

Solving Numerical Problems

Author: Guido Buzzi-Ferraris,Flavio Manenti

Publisher: John Wiley & Sons

ISBN: 3527325522

Category: Technology & Engineering

Page: 375

View: 1919

A practical engineer's companion to using numerical methods for the solution of complex mathematical problems. It thus enables readers to use and implement standard numerical tools in their work, explaining the theory behind the various functions and problem solvers, while showcasing applications in diverse scientific and engineering fields. The material is based on several tried-and-tested courses for scientists and engineers taught by the authors, and all the exercises and problems are classroom-tested. The required software is freeware developed and maintained by the authors, included on the accompanying CD-ROM, together with an installation tutorial, all the examples and sample codes described in the book, as well as a host of additional examples.

Statistical Computing in C++ and R

Author: Randall L. Eubank,Ana Kupresanin

Publisher: CRC Press

ISBN: 1466515376

Category: Mathematics

Page: 556

View: 3628

With the advancement of statistical methodology inextricably linked to the use of computers, new methodological ideas must be translated into usable code and then numerically evaluated relative to competing procedures. In response to this, Statistical Computing in C++ and R concentrates on the writing of code rather than the development and study of numerical algorithms per se. The book discusses code development in C++ and R and the use of these symbiotic languages in unison. It emphasizes that each offers distinct features that, when used in tandem, can take code writing beyond what can be obtained from either language alone. The text begins with some basics of object-oriented languages, followed by a "boot-camp" on the use of C++ and R. The authors then discuss code development for the solution of specific computational problems that are relevant to statistics including optimization, numerical linear algebra, and random number generation. Later chapters introduce abstract data structures (ADTs) and parallel computing concepts. The appendices cover R and UNIX Shell programming. Features Includes numerous student exercises ranging from elementary to challenging Integrates both C++ and R for the solution of statistical computing problems Uses C++ code in R and R functions in C++ programs Provides downloadable programs, available from the authors’ website The translation of a mathematical problem into its computational analog (or analogs) is a skill that must be learned, like any other, by actively solving relevant problems. The text reveals the basic principles of algorithmic thinking essential to the modern statistician as well as the fundamental skill of communicating with a computer through the use of the computer languages C++ and R. The book lays the foundation for original code development in a research environment.

Solutions Manual for Lang’s Linear Algebra

Author: Rami Shakarchi

Publisher: Springer Science & Business Media

ISBN: 146120755X

Category: Mathematics

Page: 200

View: 8969

This solutions manual for Lang’s Undergraduate Analysis provides worked-out solutions for all problems in the text. They include enough detail so that a student can fill in the intervening details between any pair of steps.

Linear Algebra

Theory and Applications

Author: Elliott Ward Cheney,David Ronald Kincaid

Publisher: Jones & Bartlett Learning

ISBN: 9780763750206

Category: Computers

Page: 740

View: 5903

Written For The Undergraduate Linear Algebra Student, Linear Algebra: Theory And Applications, Serves As The Ideal Text For Science And Engineering Students, Who Are Interested Principally In Applications, As Well As For Mathematics Students, Who Wish To Acquire A Mastery Of Theoretical Linear Algebra. This Flexible Blend Serves Diverse Groups Of Students As Well As Instructors Having Various And Differing Requirements. The Text Is Designed To Allow Instructors To Make Their Own Choice Of Emphasis And Includes Over 3100 Problems And Homework Assignments Of Great Variety To Emphasize That Choice. Believing That Students Learn By Studying Examples, The Authors Have Included Numerous Examples Throughout To Illustrate And Simplify Difficult Theorems And Applications.

Introduction to Linear Algebra with Applications

Author: Jim DeFranza,Daniel Gagliardi

Publisher: Waveland Press

ISBN: 1478628820

Category: Mathematics

Page: 488

View: 9458

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.