Skip navigation

Bookboon.com Download free eBooks and textbooks

Choose a category

Hilbert Spaces and Operators on Hilbert Spaces

Functional Analysis Examples c-3

Hilbert Spaces and Operators on Hilbert Spaces
4.8 (14 reviews)
ISBN: 978-87-7681-527-1
1 edition
Pages : 109
Price: Free

Download for FREE in 4 easy steps...

We are terribly sorry, but in order to download our books or watch our videos, you will need a browser that allows JavaScript.
After entering your email address, a confirmation email will be sent to your inbox. Please approve this email to receive our weekly eBook update. We will not share your personal information with any third party.

You can also read this in Bookboon.com Premium

Summary

In this book you find the basic mathematics that is needed by engineers and university students .

300+ Business books exclusively in our Premium eReader

  • No adverts
  • Advanced features
  • Personal library
More about Premium

Buy this eBook

Buy now

Subscribe to all 800+ eBooks

Start free trial 30 day FREE trial

About the book

  1. Description
  2. Content
  3. About the Author
  4. Embed

Description

In this book you find the basic mathematics that is needed by engineers and university students . The author will help you to understand the meaning and function of mathematical concepts. The best way to learn it, is by doing it, the exercises in this book will help you do just that.

Topics as Topological, metric, Hilbert and Banach spaces and Spectral Theory are illustrated.

This book requires knowledge of Calculus 1 and Calculus 2.

Content

1. Hilbert Spaces
1.1 Linner product spaces
1.2 Hilbert spaces
1.3 Fourler series
1.4 Construction of Hilbert spaces
1.5 Orthogonal projections and complements
1.6 Weak convergence

2. Operators on Hilbert spaces
2.1 Operators on Hilbert spaces, general
2.2 Closed operations

Index

About the Author

Leif Mejlbro was educated as a mathematician at the University of Copenhagen, where he wrote his thesis on Linear Partial Differential Operators and Distributions. Shortly after he obtained a position at the Technical University of Denmark, where he remained until his retirement in 2003. He has twice been on leave, first time one year at the Swedish Academy, Stockholm, and second time at the Copenhagen Telephone Company, now part of the Danish Telecommunication Company, in both places doing research.

At the Technical University of Denmark he has during more than three decades given lectures in such various mathematical subjects as Elementary Calculus, Complex Functions Theory, Functional Analysis, Laplace Transform, Special Functions, Probability Theory and Distribution Theory, as well as some courses where Calculus and various Engineering Sciences were merged into a bigger course, where the lecturers had to cooperate in spite of their different background. He has written textbooks to many of the above courses.

His research in Measure Theory and Complex Functions Theory is too advanced to be of interest for more than just a few specialist, so it is not mentioned here. It must, however, be admitted that the philosophy of Measure Theory has deeply in uenced his thinking also in all the other mathematical topics mentioned above.

After he retired he has been working as a consultant for engineering companies { at the latest for the Femern Belt Consortium, setting up some models for chloride penetration into concrete and giving some easy solution procedures for these models which can be applied straightforward without being an expert in Mathematics. Also, he has written a series of books on some of the topics mentioned above for the publisher Ventus/Bookboon.

Embed

Size
Choose color
Implementation code. Copy into your own page
Embed Frame - Terms of Use

The embed frame is free to use for private persons, universities and schools. It is not allowed to be used by any company for commercial purposes unless it is for media coverage. You may not modify, build upon, or block any portion or functionality of the embed frame, including but not limited to links back to the bookboon.com website.

The Embed frame may not be used as part of a commercial business offering. The embed frame is intended for private people who want to share eBooks on their website or blog, professors or teaching professionals who want to make an eBook available directly on their page, and media, journalists or bloggers who wants to discuss a given eBook

If you are in doubt about whether you can implement the embed frame, you are welcome to contact Thomas Buus Madsen on tbm@bookboon.com and seek permission.