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Linear Functions and Matrix Theory: 1 (Encyclopaedia of Mathematical Sciences) - Softcover

 
9783540780557: Linear Functions and Matrix Theory: 1 (Encyclopaedia of Mathematical Sciences)

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Synopsis

Courses that study vectors and elementary matrix theory and introduce linear transformations have proliferated greatly in recent years. Most of these courses are taught at the undergraduate level as part of, or adjacent to, the second-year calculus sequence. Although many students will ultimately find the material in these courses more valuable than calculus, they often experience a class that consists mostly of learning to implement a series of computational algorithms. The objective of this text is to bring a different vision to this course, including many of the key elements called for in current mathematics-teaching reform efforts. Three of the main components of this current effort are the following: 1. Mathematical ideas should be introduced in meaningful contexts, with formal definitions and procedures developed after a clear understanding of practical situations has been achieved. 2. Every topic should be treated from different perspectives, including the numerical, geometric, and symbolic viewpoints. 3. The important ideas need to be visited repeatedly throughout the term, with students' understanding deepening each time. This text was written with these three objectives in mind. The first two chapters deal with situations requiring linear functions (at times, locally linear functions) or linear ideas in geometry for their understanding. These situations provide the context in which the formal mathematics is developed, and they are returned to with increasing sophistication throughout the text.

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From the Back Cover

The objective of this text is to bring a different vision to this course, including many of the key elements called for in current mathematics-teaching reform efforts.

"About this title" may belong to another edition of this title.

  • PublisherSpringer
  • Publication date1997
  • ISBN 10 3540780556
  • ISBN 13 9783540780557
  • BindingPaperback
  • LanguageEnglish
  • Edition number1
  • Number of pages344

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Other Popular Editions of the Same Title

9780387944517: Linear Functions and Matrix Theory (Textbooks in Mathematical Sciences)

Featured Edition

ISBN 10:  0387944516 ISBN 13:  9780387944517
Publisher: Springer, 1995
Softcover