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An Introduction to Modern Analysis

  • Vicente Montesinos
  • Peter Zizler
  • Václav Zizler

Table of contents

  1. Front Matter
    Pages i-xxxi
  2. Vicente Montesinos, Peter Zizler, Václav Zizler
    Pages 1-56
  3. Vicente Montesinos, Peter Zizler, Václav Zizler
    Pages 57-108
  4. Vicente Montesinos, Peter Zizler, Václav Zizler
    Pages 109-134
  5. Vicente Montesinos, Peter Zizler, Václav Zizler
    Pages 135-214
  6. Vicente Montesinos, Peter Zizler, Václav Zizler
    Pages 215-281
  7. Vicente Montesinos, Peter Zizler, Václav Zizler
    Pages 283-338
  8. Vicente Montesinos, Peter Zizler, Václav Zizler
    Pages 339-437
  9. Vicente Montesinos, Peter Zizler, Václav Zizler
    Pages 439-454
  10. Vicente Montesinos, Peter Zizler, Václav Zizler
    Pages 455-486
  11. Vicente Montesinos, Peter Zizler, Václav Zizler
    Pages 487-504
  12. Vicente Montesinos, Peter Zizler, Václav Zizler
    Pages 505-615
  13. Vicente Montesinos, Peter Zizler, Václav Zizler
    Pages 617-630
  14. Vicente Montesinos, Peter Zizler, Václav Zizler
    Pages 631-829
  15. Back Matter
    Pages 831-863

About this book

Introduction

Examining the basic principles in real analysis and their applications, this text provides a self-contained resource for graduate and advanced undergraduate courses. It contains independent chapters aimed at various fields of application, enhanced by highly advanced graphics and results explained and supplemented with practical and theoretical exercises. The presentation of the book is meant to provide natural connections to classical fields of applications such as Fourier analysis or statistics. However, the book also covers modern areas of research, including new and seminal results in the area of functional analysis.

Keywords

Fourier series Real Analysis functional analysis integrals measures operator theory

Authors and affiliations

  • Vicente Montesinos
    • 1
  • Peter Zizler
    • 2
  • Václav Zizler
    • 3
  1. 1.Departamento de Matemática Aplicada, Instituto de Matemática Pura y AplicadaUniversitat Politècnica de ValènciaValenciaSpain
  2. 2.Department of Mathematics, Physics and EngineeringMount Royal UniversityCalgaryCanada
  3. 3.Department of Mathematical and Statistical SciencesUniversity of AlbertaEdmontonCanada

Bibliographic information

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