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Revised and edited, Linear Algebra with Applications, Seventh Edition is designed for the introductory course in linear algebra and is organized into 3 natural parts. Part 1 introduces the basics, presenting systems of linear equations, vectors and subspaces of Rn, matrices, linear transformations, determinants, and eigenvectors. Part 2 builds on this material, introducing the concept of general vector spaces, discussing properties of bases, developing the rank/nullity theorem and introducing spaces of matrices and functions. Part 3 completes the course with many of the important ideas and methods of numerical linear algebra, such as ill-conditioning, pivoting, and LU decomposition. Offering 28 core sections, the Seventh Edition successfully blends theory, important numerical techniques, and interesting applications making it ideal for engineers, scientists, and a variety of other majors.
Praise for the Third Edition ". . . an expository masterpiece of the highest didactic value that has gained additional attractivity through the various improvements . . ."—Zentralblatt MATH The Fourth Edition of Introduction to Abstract Algebra continues to provide an accessible approach to the basic structures of abstract algebra: groups, rings, and fields. The book's unique presentation helps readers advance to abstract theory by presenting concrete examples of induction, number theory, integers modulo n, and permutations before the abstract structures are defined. Readers can immediately begin to perform computations using abstract concepts that are developed in greater detail later in ...
Studienarbeit aus dem Jahr 2009 im Fachbereich Sprachwissenschaft / Sprachforschung (fachubergreifend), Note: 1,0, Universitat des Saarlandes, Veranstaltung: Proseminar "Sprache, Kommunikation und Translation im romanischsprachigen Bereich," Sprache: Deutsch, Anmerkungen: Eine Hausarbeit uber die Sprechakttheorie, mit Fokus auf indirekte Sprechakte und ihren Realisierungsformen. Besonderheit ist die selbstdurchgefuhrte empirische Analyse, Muttersprachler aller romanischen Sprachen (ausser franzosisch) wurden gebeten einen Dialog zu konzipieren, der auf direkte und indirekte Sprechakte untersucht und analysiert wurde., Abstract: Inhalt 1. Einleitung 2. Die Sprechakttheorie 2.1 Die Anfange der...
An indispensable companion to the book hailed an "expository masterpiece of the highest didactic value" by Zentralblatt MATH This solutions manual helps readers test and reinforce the understanding of the principles and real-world applications of abstract algebra gained from their reading of the critically acclaimed Introduction to Abstract Algebra. Ideal for students, as well as engineers, computer scientists, and applied mathematicians interested in the subject, it provides a wealth of concrete examples of induction, number theory, integers modulo n, and permutations. Worked examples and real-world problems help ensure a complete understanding of the subject, regardless of a reader's background in mathematics.
Market_Desc: Upper undergraduate and graduate level modern algebra courses Special Features: · Includes applications so students can see right away how to use the theory· This classic text has sold almost 12,000 units· Contains numerous examples· Includes chapters on Boolean Algebras, groups, quotient groups, symmetry groups in three dimensions, Polya-Burnside method of enumeration, monoids and machines, rings and fields, polynomial and Euclidean rings, quotient rings, field extensions, Latin squares, geometrical constructions, and error-correcting codes· Andwers to odd-numbered exercises so students can check their work About The Book: The book covers all the group, ring, and field theory that is usually contained in a standard modern algebra course; the exact sections containing this material are indicated in the Table of Contents. It stops short of the Sylow theorems and Galois theory. These topics could only be touched on in a first course, and the author feels that more time should be spent on them if they are to be appreciated.
This text aims to achieve a balance among computational skills, theory and applications of linear algebra. The contents can be arranged to allow for the presentation of a traditional introduction to linear algebra or a more applied course. More than 330 solved examples are included; many are computational and devoted to applications. The text leans toward matrix computations and applications. There is a much less abstract focus in this edition than in the second.
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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 ...