A First Course in Functional Analysis (Dover Books on Mathematics)

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Compartilhe seus pensamentos com outros clientes. Elementary Functional Analysis by Georgi E. Shilov is suitable for a beginning course in functional analysis and some of its applications, e. Rudin's book is entitled "Functional Analysis" not in the Dover series and it is my favorite. Rudin's book is of newer vintage, and it goes more in depth, and includes new material on unbounded operators in Hilbert space.

Edwards' book "Functional Analysis: Theory and Applications;" is in the Dover series, and it is twice as thick as Shilov's book. Topics covered in Shilov: It includes many exercises and examples. Well motivated with applications. Shilov book is gentler on students, and it is probably easier to get started with: It stresses motivation a bit more, the exercises are easier, and finally Shilov includes a few applications; fashionable these days.

And of course, the books in the Dover series are cheap in comparison. Review by Palle Jorgensen, August Author refers to himself a lot, with references to this volume and to a previous volume. If you enjoy searching for section 5. If you don't have his Volume I, be sure to buy that too because without it you won't make all the connections. By analogy, this is written like a web application that has many hyperlink references, some of them to pages that are not accessible.

A First Look at Numerical Functional Analysis (Dover Books on Mathematics)

Unlike a web app, you are the search engine. If you have read Shilov's first volume "Elementary Real and Complex Analysis" or his volume on Linear Algebra, then you can expect more of the same clear explanation and thoughtful organization of materials. His proofs are designed to help the reader understand material and provide deep insight into the mathematics involved. Highly recommended for those who want a consise -- but very thorough -- introduction to theory behind differential equations and Fourier analysis.

Notwithstanding I found this book well written. The proof are intuitive and the style is 'smooth', soft; very understandable. I have not yet read the first volume and his book on linear algebra, but I studied these arguments so, I understood the references to concepts of real analysis for example.

I am regretting that Dover changed the title. The next two chapters consider linear functionals and linear operators, with detailed discussions of continuous linear functionals, the conjugate space, the weak topology and weak convergence, generalized functions, basic concepts of linear operators, inverse and adjoint operators, and completely continuous operators. The final four chapters cover measure, integration, differentiation, and more on integration.

Special attention is here given to the Lebesque integral, Fubini's theorem, and the Stieltjes integral.


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Each individual section — there are 37 in all — is equipped with a problem set, making a total of some problems, all carefully selected and matched. With these problems and the clear exposition, this book is useful for self-study or for the classroom — it is basic one-year course in real analysis.

Functional analysis

Along with his translation, he has revised the text with numerous pedagogical and mathematical improvements and restyled the language so that it is even more readable. Read more Read less. Each day we unveil a new book deal at a specially discounted price - for that day only. See today's deal or sign up for the newsletter. Customers who bought this item also bought. Page 1 of 1 Start over Page 1 of 1. Third Edition Dover Books on Mathematics. Principles of Mathematical Analysis: Pearson New International Edition. A Book of Abstract Algebra: Product description Product Description This volume in Richard Silverman's exceptional series of translations of Russian works in the mathematical science is a comprehensive, elementary introduction to real and functional analysis by two faculty members from Moscow University.

Kindle Edition File Size: Dover Publications; 1st edition 25 April Sold by: Amazon Australia Services, Inc.

Lecture 1: Functional Analysis

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I am currently a first year graduate math student. I have had advanced calculus we used Introduction to Analysis by W. Wade, covered chapters and basic topology as an undergrad, and I'm working through Principles of Mathematical Analysis right now for class. On the side, I decided to try to learn some more advanced analysis. I found that my undergraduate courses were good enough to start reading Kolmogorov and Fomin on my own after all, the preface states that Adv Calc is a prereq for the text.

reference request - Good book for self study of functional analysis - Mathematics Stack Exchange

The definitions and theorems are clean and consise, and there are plenty of good examples to help you along with the concepts. At the end of most sections, there are several instructive problems to think about to help you along. Some of the methods and notations are a little dated, but for the price of the text, that can be easily ignored. This is a wonderful introduction and I'd recommend it for anyone who is interested in graduate level mathematics.