Abstract
Functional analysis has been developed essentially in the last 40 years. Its beginnings lie in the recognition that widely different kinds of mathematical operations, from the basic operations of arithmetic to differentiation and integration, have strikingly many features in common and that the mathematical objects subjected to these operations exhibit the same or similar properties in relation to the operations, although they come from quite different fields of mathematics. The same rules of addition hold for addition of angles, of numbers, of vectors and so on. In this sense functional analysis formed originally a cross-section of certain branches of analysis, for example, of the theory of integral equations, of the calculus of variations, and of linear algebra.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Editor information
Rights and permissions
Copyright information
© 1975 VEB Bibliographisches Institut Leipzig
About this chapter
Cite this chapter
Gellert, W., Gottwald, S., Hellwich, M., Kästner, H., Küstner, H. (1975). Functional analysis. In: Gellert, W., Gottwald, S., Hellwich, M., Kästner, H., Küstner, H. (eds) The VNR Concise Encyclopedia of Mathematics. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-6982-0_41
Download citation
DOI: https://doi.org/10.1007/978-94-011-6982-0_41
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-011-6984-4
Online ISBN: 978-94-011-6982-0
eBook Packages: Springer Book Archive