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Bibliographic Data
Control Number257659
Date and Time of Latest Transaction20140930034325.AM
General Information140930s |||||||||b ||00|||
International Standard Book Number9710815997
Cataloging SourcePAGASA-DOST
Local Call Number621.503 L67t 1981
Main Entry - Personal NameLipschutz, Seymour
Title StatementSchaum's outline series theory and problems of linear algebra SI (metric) edition including 600 solved problems completely solved in detail) by Seymour Lipschutz
Physical Description334p. illus
Summary, Etc.Linear algebra has in recent years become an essential part of the mathematical background required of mathematicians, engineers, physicists, and other scientists. This requirement reflects the importance and wide applications of the subject matter. This book is designed for use as a textbook for a formal course in linear algebra or as a supplement to all current standard texts. It aims to present an introduction to linear algebra which will be found helpful to all readers regardless of their fields of specialization. More material has been included than can be covered in most first courses. This has been done to make the book more flexible, to provide a useful book of reference, and to stimulate further interest in the subject. Each chapter begins with clear statements of pertinent definitions, principles and theorems together with illustrative and other descriptive material. This is followed by graded sets of solved and supplementary problems. The solved problems serve to illustrate and amplify the theory, bring into sharp focus those fine points without which the student continually feels himself on unsafe ground, and provide the repetition of basic principles so vital to effective learning. Numerous proofs of theorems are included among the solved problems. The supplementary problems serve as a complete review of the material of each chapter. The first three chapters treat of vectors in Euclidean space, linear equations and matrices. These provide the motivation and basic computational tools for the abstract treatment of vector spaces and linear mappings which follow. A chapter on eigenvalues and eigenvectors, preceded by determinants, gives conditions for representing a linear operator by a diagonal matrix. This naturally leads to the study of various canonical forms, specifically the triangular, Jordan and rational canonical forms. In the last chapter, on inner product spaces, the spectral theorem for symmetric operators is obtained and is applied to the diagonalization of real quadratic forms. For completeness, the appendices include sections on sets and relations, algebraic structures and polynomials over a field. 0
Subject Added Entry - Topical TermaLinear algebra -- 1981 -- Singapore0
 aMathematics
LocationaDOST PAGASA 621.503 L67t 1981 BOOKS mathcab PAG-08-0098 1 2976 Purchase 0000-00-00
  
     
 
Physical Location
Department of Science and Technology
Philippine Atmospheric, Geophysical and Astronomical Services Administration621.503 L67t 1981
  
     
 
Digital Copy
Not Available
  
     
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