Skip to main content
SpringerLink
Log in

Applications of Functional Analysis in Engineering

  • Book
  • © 1981

Overview

Authors:
  1. J. L. Nowinski

    1. University of Delaware, Newark, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Mathematical Concepts and Methods in Science and Engineering (MCSENG, volume 22)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (16 chapters)

  1. Front Matter

    Pages i-xv
    Download chapter PDF

  2. Physical Space. Abstract Spaces

    • J. L. Nowinski
    Pages 1-5

  3. Basic Vector Algebra

    • J. L. Nowinski
    Pages 7-15

  4. Inner Product of Vectors. Norm

    • J. L. Nowinski
    Pages 17-24

  5. Linear Independence. Vector Components. Space Dimension

    • J. L. Nowinski
    Pages 25-32

  6. Euclidean Spaces of Many Dimensions

    • J. L. Nowinski
    Pages 33-43

  7. Infinite-Dimensional Euclidean Spaces

    • J. L. Nowinski
    Pages 45-57

  8. Abstract Spaces. Hilbert Space

    • J. L. Nowinski
    Pages 59-75

  9. Function Space

    • J. L. Nowinski
    Pages 77-96

  10. Some Geometry of Function Space

    • J. L. Nowinski
    Pages 97-112

  11. Closeness of Functions. Approximation in the Mean. Fourier Expansions

    • J. L. Nowinski
    Pages 113-121

  12. Bounds and Inequalities

    • J. L. Nowinski
    Pages 123-166

  13. The Method of the Hypercircle

    • J. L. Nowinski
    Pages 167-203

  14. The Method of Orthogonal Projections

    • J. L. Nowinski
    Pages 205-221

  15. The Rayleigh-Ritz and Trefftz Methods

    • J. L. Nowinski
    Pages 223-240

  16. Function Space and Variational Methods

    • J. L. Nowinski
    Pages 241-260

  17. Distributions. Sobolev Spaces

    • J. L. Nowinski
    Pages 261-274

  18. Back Matter

    Pages 275-304
    Download chapter PDF
Back to top

Keywords

About this book

Functional analysis owes its OrIgms to the discovery of certain striking analogies between apparently distinct disciplines of mathematics such as analysis, algebra, and geometry. At the turn of the nineteenth century, a number of observations, made sporadically over the preceding years, began to inspire systematic investigations into the common features of these three disciplines, which have developed rather independently of each other for so long. It was found that many concepts of this triad-analysis, algebra, geometry-could be incorporated into a single, but considerably more abstract, new discipline which came to be called functional analysis. In this way, many aspects of analysis and algebra acquired unexpected and pro­ found geometric meaning, while geometric methods inspired new lines of approach in analysis and algebra. A first significant step toward the unification and generalization of algebra, analysis, and geometry was taken by Hilbert in 1906, who studied the collection, later called 1 , composed of infinite sequences x = Xb X 2, ... , 2 X , ... , of numbers satisfying the condition that the sum Ik"= 1 X 2 converges. k k The collection 12 became a prototype of the class of collections known today as Hilbert spaces.

Authors and Affiliations

  • University of Delaware, Newark, USA

    J. L. Nowinski

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation