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Functional Linear Algebra (Hardcover)
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Functional Linear Algebra (Hardcover)
Series: Textbooks in Mathematics
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Linear algebra is an extremely versatile and useful subject. It
rewards those who study it with powerful computational tools,
lessons about how mathematical theory is built, examples for later
study in other classes, and much more. Functional Linear Algebra is
a unique text written to address the need for a one-term linear
algebra course where students have taken only calculus. It does not
assume students have had a proofs course. The text offers the
following approaches: More emphasis is placed on the idea of a
linear function, which is used to motivate the study of matrices
and their operations. This should seem natural to students after
the central role of functions in calculus. Row reduction is moved
further back in the semester and vector spaces are moved earlier to
avoid an artificial feeling of separation between the computational
and theoretical aspects of the course. Chapter 0 offers
applications from engineering and the sciences to motivate students
by revealing how linear algebra is used. Vector spaces are
developed over R, but complex vector spaces are discussed in
Appendix A.1. Computational techniques are discussed both by hand
and using technology. A brief introduction to Mathematica is
provided in Appendix A.2. As readers work through this book, it is
important to understand the basic ideas, definitions, and
computational skills. Plenty of examples and problems are provided
to make sure readers can practice until the material is thoroughly
grasped. Author Dr. Hannah Robbins is an associate professor of
mathematics at Roanoke College, Salem, VA. Formerly a commutative
algebraist, she now studies applications of linear algebra and
assesses teaching practices in calculus. Outside the office, she
enjoys hiking and playing bluegrass bass.
General
Imprint: |
Crc Press
|
Country of origin: |
United Kingdom |
Series: |
Textbooks in Mathematics |
Release date: |
April 2021 |
First published: |
2021 |
Authors: |
Hannah Robbins
|
Dimensions: |
234 x 156 x 32mm (L x W x T) |
Format: |
Hardcover
|
Pages: |
393 |
ISBN-13: |
978-0-367-48687-7 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Algebra >
General
Promotions
|
LSN: |
0-367-48687-3 |
Barcode: |
9780367486877 |
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