Basic Elements of Real Analysis

From the author of the highly acclaimed "A First Course in Real Analysis" comes a volume designed specifically for a short one- semester course in real analysis. Many students of mathematics and those students who intend to study any of the physical sciences and computer science need a tex...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Protter, Murray H. (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: New York, NY : Springer New York, 1998.
Σειρά:Undergraduate Texts in Mathematics,
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
Πίνακας περιεχομένων:
  • The Real Number System
  • Continuity and Limits
  • Basic Properties of Functions on ?1
  • Elementary Theory of Differentiation
  • Elementary Theory of Integration
  • Elementary Theory of Metric Spaces
  • Differentiation and Integration in ?N
  • Infinite Series
  • The Derivative of an Integral
  • The Riemann-Stieltjes Integral
  • The Implicit Function Theorem. Lagrange Multipliers
  • Vector Functions on ?N; The Theorems of Green and stokes.