Enter your mobile number or email address below and we'll send you a link to download the free Kindle App. Then you can start reading Kindle books on your smartphone, tablet, or computer - no Kindle device required.
To get the free app, enter your mobile phone number.
Other Sellers on Amazon
+ $3.99 shipping
+ Free Shipping
Elements of the Theory of Functions and Functional Analysis (Dover Books on Mathematics) Paperback – February 16, 1999
See the Best Books of 2017
Looking for something great to read? Browse our editors' picks for the best books of the year in fiction, nonfiction, mysteries, children's books, and much more.
Frequently bought together
Customers who bought this item also bought
Top customer reviews
There was a problem filtering reviews right now. Please try again later.
The level is upper level undergraduate and beginning graduate.
But it is also a great book for someone who is looking for a quick overview of basic tools in function theory, and functional analysis.
Grant you that a lot has changed since the first printing in the 1940's.
Key topics in the book are as relevant now as then, e.g., (sample from the contents) Normed and Topological Linear Spaces; and their duals; Linear Operators; Differential Calculus and integrals; Measurable Functions, Integration theory; Summable functions; spectral theory; Trigonometric series, Fourier transformation; Fredholm Integral Equations.
Andrei Kolmogorov was a true pioneer in what is now modern mathematics, and its neighboring areas: probability theory, stochastic processes, harmonic analysis, information theory, dynamical systems.
One point where the coverage is limited is in its focus on linear theory. With hindsight we now know that non-linear features must be used in models for turbulence and other areas of applications.
The book is great, nonetheless, for selfstudy, or for a supplement to anyone of a number of courses in mathematics. Review by Palle Jorgensen, December 2011.
Bottom line. Book is great and material well balanced. Practice problems were prepared to improve understanding of covered material.
As result this book is always with me. I do not think that I can add more to that.