Illustrative Introduction to Modern Analysis

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A01=Eugen Varvaruca
A01=Nikolaos Katzourakis
advanced analysis for university students
Author_Eugen Varvaruca
Author_Nikolaos Katzourakis
Banach Space
Borel Sets
Category=PBK
Category=PBKF
Category=PBKJ
Category=PBW
Cauchy Sequence
Dual Banach Space
Dual Space
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Eugen Varvaruca
Finite Dimensional Normed Space
functional analysis
Hahn Banach Theorem
Hilbert space theory
Infinite Dimensional Banach Space
Infinite Dimensional Normed Space
integration
Lebesgue Integral
Lebesgue Measurable Set
Lebesgue Outer Measure
lebesgue spaces
linear operator methods
mathematical rigor exercises
Measure Space
measure theory
Metric Spaces
Nikos Katzourakis
Normed Space
Normed Vector Space
Outer Measure
real analysis foundations
Riemann Integration
Sequential Compactness
Topological Space
topology
Total Boundedness
undergraduate mathematics textbook
Uniformly Convex
Vector Space
Weak Convergence
weak convergence techniques
Weak Topology

Product details

  • ISBN 9780367657413
  • Weight: 453g
  • Dimensions: 156 x 234mm
  • Publication Date: 30 Sep 2020
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Paperback
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Aimed primarily at undergraduate level university students, An Illustrative Introduction to Modern Analysis provides an accessible and lucid contemporary account of the fundamental principles of Mathematical Analysis.

The themes treated include Metric Spaces, General Topology, Continuity, Completeness, Compactness, Measure Theory, Integration, Lebesgue Spaces, Hilbert Spaces, Banach Spaces, Linear Operators, Weak and Weak* Topologies.

Suitable both for classroom use and independent reading, this book is ideal preparation for further study in research areas where a broad mathematical toolbox is required.

Nikos Katzourakis is based at the University of Reading in the UK. His field of expertise lies in the analysis of nonlinear Partial Differential Equations and Calculus of Variations. His name is connected to contributions in vectorial variational problems for supremal functionals and generalised solutions for fully nonlinear systems.

Eugen Varvaruca is based at the University "Al. I. Cuza’’ of Iasi in Romania. His research work is concerned with the analysis of nonlinear Partial Differential Equations, focusing particularly on free-boundary problems in fluid dynamics. In 2012 he was awarded the Whitehead Prize by the London Mathematical Society for his contributions.

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