- 428 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
About this book
Metrics, Norms and Integrals is a textbook on contemporary analysis based on the author's lectures given at the University of Melbourne for over two decades. It covers three main topics: metric and topological spaces, functional analysis, and the theory of the Lebesgue integral on measure spaces. This self-contained text contains a number of original presentations, including an early introduction of pseudometric spaces to motivate general topologies, an innovative introduction to the Lebesgue integral, and a discussion on the use of the Newton integral. It is thus a valuable book to inform and stimulate both undergraduate and graduate students.
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Yes, you can access Metrics, Norms and Integrals by J J Koliha in PDF and/or ePUB format, as well as other popular books in Mathematics & Algebra. We have over one million books available in our catalogue for you to explore.
Information
398
Metrics,
Norms
and
Integrals:
An
Introduction
to
Contemporary
Analysis
α
≤
lim
p
→∞
‖
f
‖
L
p
≤
‖
f
‖
L
∞
.
The
result
follows
since
α
satisfying
0
<α<
‖
f
‖
L
∞
was
arbitrary.
The
general
case
is
left
to
the
reader.
Table of contents
- Contents
- Preface
- Acknowledgments
- Metrics and Topologies
- Linear Analysis
- Integration
- Appendix A Sets and Mappings
- Appendix B Review of Real Analysis
- Appendix C Inequalities
- Appendix D Survey of Metric Spaces
- Appendix E Cardinal Numbers, Axiom of Choice
- Appendix F Answers to Selected Odd Numbered Problems
- Bibliography
- Index