Kapak Resmi

The Big Book of Real Analysis From Numbers to Measures /

This book provides an introduction to real analysis, a fundamental topic that is an essential requirement in the study of mathematics. It deals with the concepts of infinity and limits, which are the cornerstones in the development of calculus. Beginning with some basic proof techniques and the noti...

Ful tanımlama

Kaydedildi:
Detaylı Bibliyografya
Yazar: Johar, Syafiq (Yazar)
Müşterek Yazar: SpringerLink (Online service)
Materyal Türü: Elektronik Ekitap
Dil:İngilizce
Baskı/Yayın Bilgisi: Cham : Springer Nature Switzerland : Imprint: Springer, 2023.
Edisyon:1st ed. 2023.
Konular:
Mathematics.
Mathematical analysis.
Sequences (Mathematics).
Differential equations.
Measure theory.
Functions of real variables.
Analysis.
Sequences, Series, Summability.
Differential Equations.
Measure and Integration.
Real Functions.
Online Erişim:https://doi.org/10.1007/978-3-031-30832-1
Etiketler: Etiketle
Etiket eklenmemiş, İlk siz ekleyin!
İçindekiler:
  • Preface
  • 1. Logic and Sets
  • 2. Integers
  • 3. Construction of the Real Numbers
  • 4. The Real Numbers
  • 5. Real Sequences
  • 6. Some Applications of Real Sequences
  • 7. Real Series
  • 8. Additional Topics in Real Series
  • 9. Functions and Limits
  • 10. Continuity
  • 11. Function Sequences and Series
  • 12. Power Series
  • 13. Differentiation
  • 14. Some Applications of Differentiation
  • 15. Riemann and Darboux Integration
  • 16. The Fundamental Theorem of Calculus
  • 17. Taylor and MacLaurin Series
  • 18. Introduction to Measure Theory
  • 19. Lebesgue Integration
  • 20. Double Integrals
  • Solutions to the Exercises
  • Bibliography
  • Index.

Benzer Materyaller