Linear Algebra with Applications, Alternate Edition

Author: Gareth Williams

Publisher: Jones & Bartlett Publishers

ISBN: 1449666310

Category: Mathematics

Page: 532

View: 2362

Building upon the sequence of topics of the popular 5th Edition, Linear Algebra with Applications, Alternate Seventh Edition provides instructors with an alternative presentation of course material. In this edition earlier chapters cover systems of linear equations, matrices, and determinates. The vector space Rn is introduced in chapter 4, leading directly into general vector spaces and linear transformations. This order of topics is ideal for those preparing to use linear equations and matrices in their own fields. New exercises and modern, real-world applications allow students to test themselves on relevant key material and a MATLAB manual, included as an appendix, provides 29 sections of computational problems.

Linear Algebra with Applications

Author: Otto Bretscher

Publisher: Pearson College Division

ISBN: 9780321796974

Category: Mathematics

Page: 508

View: 6165

Offering the most geometric presentation available, Linear Algebra with Applications, Fifth Edition emphasizes linear transformations as a unifying theme. This elegant textbook combines a user-friendly presentation with straightforward, lucid language to clarify and organize the techniques and applications of linear algebra. Exercises and examples make up the heart of the text, with abstract exposition kept to a minimum. Exercise sets are broad and varied and reflect the author's creativity and passion for this course. This revision reflects careful review and appropriate edits throughout, while preserving the order of topics of the previous edition.

Linear Algebra with Applications

Author: W. Keith Nicholson

Publisher: N.A

ISBN: N.A

Category: Algebras, Linear

Page: 532

View: 4109

W. Keith Nicholson's Linear Algebra with Applications, Fifth Canadian Edition is written for first and second year students at both the college or university level. Its real world approach challenges students step-by-step, gradually bringing them to a higher level of understanding from abstract to more general concepts. Real world applications have been added to the new edition, including:Directed graphsGoogle PageRankComputer graphicsCorrelation and VarianceFinite Fields and Linear CodesIn addition to the new applications, the author offers several new exercises and examples throughout each chapter. Some new examples include:motivating matrix multiplication (Chapter 2)a new way to expand a linearly independent set to a basis using an existing basisWhile some instructors will use the text for one semester, ending at Chapter 5 The Vector Space Rn others will continue with more abstract concepts being introduced. Chapter 5 prepares students for the transition, acting as the "bridging" chapter, allowing challenging concepts like subspaces, spanning, independence and dimension to be assimilated first in the concrete context of Rn. This "bridging" concept eases students into the introduction of vector spaces in Chapter 6.

A Course in Linear Algebra with Applications

Author: Derek John Scott Robinson

Publisher: World Scientific

ISBN: 9812700234

Category: Mathematics

Page: 436

View: 2836

This is the second edition of the best-selling introduction to linear algebra. Presupposing no knowledge beyond calculus, it provides a thorough treatment of all the basic concepts, such as vector space, linear transformation and inner product. The concept of a quotient space is introduced and related to solutions of linear system of equations, and a simplified treatment of Jordan normal form is given.Numerous applications of linear algebra are described, including systems of linear recurrence relations, systems of linear differential equations, Markov processes, and the Method of Least Squares. An entirely new chapter on linear programing introduces the reader to the simplex algorithm with emphasis on understanding the theory behind it.The book is addressed to students who wish to learn linear algebra, as well as to professionals who need to use the methods of the subject in their own fields.

Lineare Algebra

Author: Gilbert Strang

Publisher: Springer-Verlag

ISBN: 3642556310

Category: Mathematics

Page: 656

View: 5314

Diese Einführung in die lineare Algebra bietet einen sehr anschaulichen Zugang zum Thema. Die englische Originalausgabe wurde rasch zum Standardwerk in den Anfängerkursen des Massachusetts Institute of Technology sowie in vielen anderen nordamerikanischen Universitäten. Auch hierzulande ist dieses Buch als Grundstudiumsvorlesung für alle Studenten hervorragend lesbar. Darüber hinaus gibt es neue Impulse in der Mathematikausbildung und folgt dem Trend hin zu Anwendungen und Interdisziplinarität. Inhaltlich umfasst das Werk die Grundkenntnisse und die wichtigsten Anwendungen der linearen Algebra und eignet sich hervorragend für Studierende der Ingenieurwissenschaften, Naturwissenschaften, Mathematik und Informatik, die einen modernen Zugang zum Einsatz der linearen Algebra suchen. Ganz klar liegt hierbei der Schwerpunkt auf den Anwendungen, ohne dabei die mathematische Strenge zu vernachlässigen. Im Buch wird die jeweils zugrundeliegende Theorie mit zahlreichen Beispielen aus der Elektrotechnik, der Informatik, der Physik, Biologie und den Wirtschaftswissenschaften direkt verknüpft. Zahlreiche Aufgaben mit Lösungen runden das Werk ab.

Lineare Algebra

Einführung, Grundlagen, Übungen

Author: Howard Anton

Publisher: Springer Verlag

ISBN: 9783827403247

Category: Mathematics

Page: 680

View: 6601

In Ihrer Hand liegt ein Lehrbuch - in sieben englischsprachigen Ausgaben praktisch erprobt - das Sie mit groem didaktischen Geschick, zudem angereichert mit zahlreichen Ubungsaufgaben, in die Grundlagen der linearen Algebra einfuhrt. Kenntnisse der Analysis werden fur das Verstandnis nicht generell vorausgesetzt, sind jedoch fur einige besonders gekennzeichnete Beispiele notig. Padagogisch erfahren, behandelt der Autor grundlegende Beweise im laufenden Text; fur den interessierten Leser jedoch unverzichtbare Beweise finden sich am Ende der entsprechenden Kapitel. Ein weiterer Vorzug des Buches: Die Darstellung der Zusammenhange zwischen den einzelnen Stoffgebieten - linearen Gleichungssystemen, Matrizen, Determinanten, Vektoren, linearen Transformationen und Eigenwerten.

Challenges and Strategies in Teaching Linear Algebra

Author: Sepideh Stewart,Christine Andrews-Larson,Avi Berman,Michelle Zandieh

Publisher: Springer

ISBN: 3319668110

Category: Education

Page: 382

View: 652

This book originated from a Discussion Group (Teaching Linear Algebra) that was held at the 13th International Conference on Mathematics Education (ICME-13). The aim was to consider and highlight current efforts regarding research and instruction on teaching and learning linear algebra from around the world, and to spark new collaborations. As the outcome of the two-day discussion at ICME-13, this book focuses on the pedagogy of linear algebra with a particular emphasis on tasks that are productive for learning. The main themes addressed include: theoretical perspectives on the teaching and learning of linear algebra; empirical analyses related to learning particular content in linear algebra; the use of technology and dynamic geometry software; and pedagogical discussions of challenging linear algebra tasks. Drawing on the expertise of mathematics education researchers and research mathematicians with experience in teaching linear algebra, this book gathers work from nine countries: Austria, Germany, Israel, Ireland, Mexico, Slovenia, Turkey, the USA and Zimbabwe.

MAA Notes

Author: N.A

Publisher: The Mathematical Association of America

ISBN: N.A

Category: Education

Page: N.A

View: 5744

Elementary Linear Algebra

Author: Stephen Andrilli,David Hecker

Publisher: Academic Press

ISBN: 0128010479

Category: Mathematics

Page: 806

View: 5224

Elementary Linear Algebra, 5th edition, by Stephen Andrilli and David Hecker, is a textbook for a beginning course in linear algebra for sophomore or junior mathematics majors. This text provides a solid introduction to both the computational and theoretical aspects of linear algebra. The textbook covers many important real-world applications of linear algebra, including graph theory, circuit theory, Markov chains, elementary coding theory, least-squares polynomials and least-squares solutions for inconsistent systems, differential equations, computer graphics and quadratic forms. Also, many computational techniques in linear algebra are presented, including iterative methods for solving linear systems, LDU Decomposition, the Power Method for finding eigenvalues, QR Decomposition, and Singular Value Decomposition and its usefulness in digital imaging. The most unique feature of the text is that students are nurtured in the art of creating mathematical proofs using linear algebra as the underlying context. The text contains a large number of worked out examples, as well as more than 970 exercises (with over 2600 total questions) to give students practice in both the computational aspects of the course and in developing their proof-writing abilities. Every section of the text ends with a series of true/false questions carefully designed to test the students’ understanding of the material. In addition, each of the first seven chapters concludes with a thorough set of review exercises and additional true/false questions. Supplements to the text include an Instructor’s Manual with answers to all of the exercises in the text, and a Student Solutions Manual with detailed answers to the starred exercises in the text. Finally, there are seven additional web sections available on the book’s website to instructors who adopt the text. Builds a foundation for math majors in reading and writing elementary mathematical proofs as part of their intellectual/professional development to assist in later math courses Presents each chapter as a self-contained and thoroughly explained modular unit. Provides clearly written and concisely explained ancillary materials, including four appendices expanding on the core concepts of elementary linear algebra Prepares students for future math courses by focusing on the conceptual and practical basics of proofs

Linear Algebra with Applications

Author: Steven J. Leon

Publisher: N.A

ISBN: 9780138493080

Category: Mathematics

Page: 491

View: 9922

Renowned for its thoroughness and accessibility, this best-selling text by one of the leading figures in linear algebra reform offers students a challenging yet enjoyable study of linear algebra that is infused with an abundance of applications. Balancing coverage of mathematical theory and applied topics, it takes extra care in explaining concepts clearly so that students at a variety of levels can read and understand the material. Numerous worked examples are integrated throughout the text. This revision stresses the important roles played by geometry and visualization in linear algebra. ATLAST Computer Exercises for Linear Algebra a project manual using MATLAB--may be packaged free with the text.

Grundlagen der Linearen Algebra für Dummies

Author: Mary Jane Sterling

Publisher: VCH

ISBN: 9783527706204

Category:

Page: 342

View: 7329

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.

Numerical Methods

Algorithms and Applications

Author: Laurene V. Fausett

Publisher: Pearson

ISBN: 9780130314000

Category: Computers

Page: 649

View: 5176

This book present the fundamental numerical techniques used in engineering, applied mathematics, computer science, and the physical and life sciences in a manner that is both interesting and understandable.Numerical Analysis with Applications and Algorithms includes comprehensive coverage of solving nonlinear equations of a single variable, numerical linear algebra, nonlinear functions of several variables, numerical methods for data interpolations and approximation, numerical differentiation and integration, and numerical techniques for solving differential equations.This book is useful as a reference for self study.

Numerical Methods Using MathCAD

Author: Laurene V. Fausett

Publisher: Pearson

ISBN: N.A

Category: Computers

Page: 702

View: 3191

This book presents the fundamental numerical techniques used in engineering, applied mathematics, computer science, and the physical and life sciences in a way that is both interesting and understandable. Using a wide range of examples and problems, this book focuses on the use of MathCAD functions and worksheets to illustrate the methods used when discussing the following concepts: solving linear and nonlinear equations, numerical linear algebra, numerical methods for data interpolation and approximation, numerical differentiation and integration, and numerical techniques for solving differential equations. For professionals in the fields of engineering, mathematics, computer science, and physical or life sciences who want to learn MathCAD functions for all major numerical methods.

Applied Numerical Analysis Using MATLAB

Author: Laurene V. Fausett

Publisher: N.A

ISBN: N.A

Category: Computers

Page: 596

View: 6772

Each chapter uses introductory problems from specific applications. These easy-to-understand problems clarify for the reader the need for a particular mathematical technique. Numerical techniques are explained with an emphasis on why they work. FEATURES Discussion of the contexts and reasons for selection of each problem and solution method. Worked-out examples are very realistic and not contrived. MATLAB code provides an easy test-bed for algorithmic ideas.

Grundlagen der Mathematik für Dummies

Author: Mark Zegarelli

Publisher: John Wiley & Sons

ISBN: 3527657657

Category: Mathematics

Page: 353

View: 6976

Mathematik ist nicht jedermanns Sache, manchmal sind es schon die Grundlagen, die fehlen: Einst gelernt, doch jetzt vergessen. Bruch- und Prozentrechnung, Fl?cheninhalt, Gleichungen, wie funktionierte das noch einmal? Mark Zegarelli erkl?rt es Ihnen, einfach und am?sant und immer schnell auf dem Punkt, hilft er Ihnen Ihre Wissensl?cken zu schlie?en. So verlieren Geometrie und Algebra f?r Sie den Schrecken.

Lineare Algebra

Eine Einführung für Studienanfänger

Author: Gerd Fischer

Publisher: Springer-Verlag

ISBN: 383489365X

Category: Mathematics

Page: 384

View: 5331

Das seit über 35 Jahren bewährte, einführende Lehrbuch im kompakten Taschenbuchformat mit einer umfassenden Stoffauswahl eignet sich als Grundlage für eine zweisemestrige Vorlesung für Studierende der Mathematik, Physik und Informatik. Der Text enthält zahlreiche Übungsaufgaben. Lösungen findet man in dem von H. Stoppel und B. Griese verfassten Übungsbuch. Zur Motivation der Studierenden enthält das Buch eine Einführung, in der die Bedeutung der Linearen Algebra als Grundlage innerhalb der Mathematik und ihren Anwendungen beschrieben wird.