Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Published in:
Cover of the book

2019 | OriginalPaper | Chapter

1. Introduction

Author : Gheorghe Moroşanu

Published in: Functional Analysis for the Applied Sciences

Publisher: Springer International Publishing

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

This chapter comprises definitions, notation, and basic results related to set theory, real and complex numbers, and linear spaces.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

inform now
next chapter Metric Spaces
Footnotes
1
Max August Zorn, German mathematician, 1906–1993.
 
2
Greek mathematician, known as father of Geometry, born around 330 BC, presumably in Alexandria, Egypt.
 
3
Otto Stolz, Austrian mathematician, 1842–1905; Karl Weierstrass, German, known as father of modern analysis, 1815–1897.
 
4
Richard Dedekind, German mathematician, 1831–1916.
 
5
Georg Cantor, German mathematician, 1845–1918; Charles Méray, French mathematician, 1835–1911.
 
6
August-Louis Cauchy, French mathematician, engineer and physicist, 1789–1857.
 
7
Archimedes of Syracuse, 287–212 BC.
 
8
Bernard Bolzano, Bohemian mathematician, logician, philosopher, and theologian, 1781–1848.
 
9
René Descartes, latinized Renatus Cartesius, French mathematician, philosopher, and scientist, 1596–1650.
 
10
Niels Henrik Abel, Norwegian mathematician, 1802–1829.
 
11
Viktor Y. Bunyakovsky, Russian mathematician, 1804–1889; Karl Hermann Amandus Schwarz, German mathematician, 1843–1921.
 
12
Jorgen Pedersen Gram, Danish actuary and mathematician, 1850–1916; Erhard Schmidt, Baltic German mathematician, 1876–1959.
 
13
Leopold Kronecker, German mathematician, 1823–1891.
 
14
Carl Friedrich Gauss, German mathematician and physicist, 1777–1855.
 
15
Carl Gustav Jacob Jacobi, German mathematician, 1804–1851.
 
16
James Joseph Sylvester, English mathematician, 1814–1897.
 
17
Charles Hermite, French mathematician, 1822–1901.
 
Literature
[6]
Brezis, H.: Functional Analysis, Sobolev Spaces and Partial Differential Equations. Springer, Berlin (2011)
[16]
Gel’fand, I.M.: Lectures on Linear Algebra. Dover, New York (1989)MATH
[28]
Kurosh, A.: Cours d’algèbre supérieure. Mir, Moscou (1973)
[33]
Marsden, J.E., Hoffman, M.J.: Elementary Classical Analysis, 2nd edn. W. H. Freedman & Co., New York (1993)MATH
[37]
Moroşanu, G.: Elements of Linear Algebra and Analytic Geometry. Matrix Rom, Bucharest (2000, in Romanian)
[41]
Rosenlicht, M.: Introduction to Analysis. Dover, New York (1968)MATH
[42]
Rudin, W.: Principles of Mathematical Analysis, 3rd edn. McGraw-Hill, New York (1976)MATH
[51]
Metadata
Title
Introduction
Author
Gheorghe Moroşanu
Copyright Year
2019
Book
Functional Analysis for the Applied Sciences

Print ISBN: 978-3-030-27152-7

Electronic ISBN: 978-3-030-27153-4

Copyright Year: 2019

DOI
https://doi.org/10.1007/978-3-030-27153-4_1

Premium Partner

    Image Credits