Book Review:
From the site
A First Course in Linear Algebra is an introductory textbook aimed at collegelevel sophomores and juniors. Typically such a student will have taken calculus, but this is not a prerequisite. The book begins with systems of linear equations, then covers matrix algebra, before taking up finitedimensional vector spaces in full generality. The final chapter covers matrix representations of linear transformations, through diagonalization and change of basis. Along the way, determinants and eigenvalues get fair time.
Book Description
This textbook is designed to teach the university mathematics student the basics of the subject of linear algebra. There are no prerequisites other than ordinary algebra, but it is probably best used by a student who has the 'mathematical maturity' of a sophomore or junior.
The text has two goals: to teach the fundamental concepts and techniques of matrix algebra and abstract vector spaces, and to teach the techniques associated with understanding the definitions and theorems forming a coherent area of mathematics. So there is an emphasis on worked examples of nontrivial size and on proving theorems carefully.
The first half of this text is basically a course in matrix algebra, though the foundation of some more advanced ideas is also being formed in these early sections. Vectors are presented exclusively as column vectors, and linear combinations are presented very early. Spans, null spaces and column spaces are also presented early, simply as sets, saving most of their vector space properties for later, so they are familiar objects before being scrutinized carefully.
add to del.icio.us
Digg Freebookzone.com!
You may use anyone of the download options
Missing Link?, Report It and try these 5 + 1 alternates...
Similar Book titles in Mathematics section: A Course in Universal Algebra Templates for the Solution of Linear Systems: Building Blocks for the Iterative Methods Elementary Algebra with Applications, 3rd Edition Linear Algebra A Short Course in Discrete Mathematics A Computational Introduction to Number Theory and Algebra A Problem Course in Mathematical Logic Algebra: Abstract And Concrete Fundamental Problems in Algorithmic Algebra Introduction to Matrix Algebra Grassmann Algebra The Structure of Finite Algebras (Contemporary Mathematics) A Course In Commutative Algebra Elementary Linear Algebra Elementary Linear Algebra Linear Methods of Applied Mathematics Elements of Abstract and Linear Algebra Applied Abstract Algebra Abstract Algebra: The Basic Graduate Year Linear Algebra  An Introduction to Linear Algebra for PreCalculus Students A Beginner's Course in Boundary Element Methods Linear Algebra Done Wrong An Introduction to Linear Programming and the Simplex Algorithm Computations in Algebraic Geometry with Macaulay 2 Linear Algebra and Matrices Linear Algebra for Informatics From Geometry to Algebra  An Introduction to Linear Algebra Matrix Analysis and Applied Linear Algebra An Introduction To Linear Algebra
Similar Book titles in Other sections:
Section: BioChemistry CMBI  Bioinformatics courses WWW Cell Biology Course
Section: Data Structures and Algorithms Jeff Erickson's Algorithms Course Materials
Section: CS > Theory Templates for the Solution of Algebraic Eigenvalue Problems: a Practical Guide
Section: Photography A Short Course in Digital Photography
Section: Logic Design and Architecture The VHDL Cookbook, First Edition
Section: Advanced Java Java Virtual Machine Specification, First Edition
Section: Java Language Java, an Object First Approach
Section: Life & Health The 100% Brain Course
Section: Miscellaneous Nonlinear Microwave and RF Circuits The World Is Flat: A Brief History of the Twentyfirst Century Cryptanalysis of RSA Using Algebraic And Lattice Methods
Section: Windows Development Windows Server 2003 Weekend Crash Course
Section: Unix OS Unix System Administration  Survival Course
Section: Physics Eclipse: The Celestial Phenomenon That Changed the Course of History
Section: C Language Phil's C Course
Section: COBOL Programming COBOL Programming Course
Section: Other Programming BASIC, the Elementary Algebraic Language Prolog Programming: A First Course Linear Programming, Second Edition  Foundations and Extensions Fortran 90  A Conversion Course
Section: Perl Scripting Perl Cookbook, First Edition
Section: Redbooks Draft IBM Linear Tape File System: Installation and Configuration IBM Linear Tape File System Enterprise Edition V1.1.1.2 Installation and Configuration Guide
Section: Redbooks IBM Linear Tape File System Installation and Configuration IBM Linear Tape File System Enterprise Edition V1.1 Installation and Configuration Guide IBM MobileFirst Strategy Software Approach IBM Linear Tape File System Enterprise Edition V1.1.1.1 Installation and Configuration Guide IBM Linear Tape File System Enterprise Edition V1.1.1.2: Installation and Configuration Guide Show all..
Section: Redpapers An IBM Academy of Technology Perspective about FirstNet, a Public Safety Network Extending SAP Solutions to the Mobile Enterprise with IBM MobileFirst Platform Foundation IBM MobileFirst in Action for mGovernment and Citizen Mobile Services
Section: Redpapers Draft An IBM Academy of Technology Perspective about FirstNet: A Public Safety Network IBM MobileFirst in Action for mGoverment and Citizen Mobile Services
Similar Books from Amazon :

