Abstract
In Chapter 1 we considered the set-theoretic structure of mathematical systems, and in Chapter 2 we developed to various degrees of complexity the algebraic structure of mathematical systems. One of the mathematical systems introduced in Chapter 2 was the linear or vector space, a concept of great importance in mathematics and applications.
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References
P. R. Halmos, Finite Dimensional Vector Spaces. Princeton, N.J.: D. Van Nostrand Company, Inc., 1958.
K. Hoffman and R. Kunze, Linear Algebra. Englewood Cliffs, N.J.: Prentice-Hall, Inc., 1971.
A. W. Naylor and G. R. Sell, Linear Operator Theory in Engineering and Science. New York: Holt, Rinehart and Winston, 1971.
A. E. Taylor, Introduction to Functional Analysis. New York: John Wiley & Sons, Inc., 1966.
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© 2007 Birkhäuser Boston
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Michel, A.N., Herget, C.J. (2007). Vector Spaces and Linear Transformations. In: Algebra and Analysis for Engineers and Scientists. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4707-0_3
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DOI: https://doi.org/10.1007/978-0-8176-4707-0_3
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-4706-3
Online ISBN: 978-0-8176-4707-0
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