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I'm a student (I've been studying mathematics 4 years at the university) and I like functional analysis and topology, but I only studied 6 credits of functional analysis and 7 in topology (the basics). What I am looking for is good books that I could understand to go deeper in this areas, what do you recommend? (I can read in Spanish, English, French and German)


I'd recommend the Dunford and Schwartz. It's a classic. It's huge -- three volumes. But you don't have to read the whole series cover-to-cover. If you read half of the first volume, you'll learn about as much as reading many other books on functional analysis. Volume 1 alone is big, but it's easy to read for a book on its subject.


Apart from the classics already mentioned (Yosida, Brezis, Rudin), a good book of functional analysis that I think is suitable not only as a reference but also for self-study, is Fabian, Habala et al. Functional Analysis and Infinite-Dimensional Geometry. It has a lot of nice exercises, it's less abstract than the usual book and provides a lot of "concrete" theorems.


I personally like a recent book of Helemskii Lectures and Exercises on Functional Analysis. One of the differences with other books on the subject is that it uses the categoricalpoint of view. The author starts with a very brief introduction to the category theory and uses this language throughout the book. It's a sort of modern core of FA book, with a sidelines to some physics applications and of historic nature, a terse advertisement of the quantum functional analysis and so on (but there is no measure theory, Radon Nikodym theorem etc. which are elaborated in many excellent old textbooks.) Also it gives somewhat broader picture of FA sketching some directions and stating from time to time theorems without proofs 'that every student should know'.


is quite comphrensive and contains beside standard functional analysis more advanced sections on the theory of locally convex spaces. There is also a German version if you want to improve your German by reading both together.





I second Reed and Simon's methods of mathematical physics. However, if you are interested primarily in the applications of functional analysis to PDE, for the most part a couple of appendices of Evans' book suffice in my opinion.


In this introductory work on mathematical analysis, the noted mathematician Georgi E. Shilov begins with an extensive and important chapter on the basic structures of mathematical analysis: linear spaces, metric spaces, normed linear spaces, Hilbert spaces, and normed algebras. The standard models for all these spaces are sets of functions (hence the term `functional analysis`), rather than sets of points in a finite-dimensional space.
Chapter 2 is devoted to differential equations, and contains the basic theorems on existence and uniqueness of solutions of ordinary differential equations for functions taking values in a Banach space. The solution of the linear equation with constant (operator) coefficients is written in general form in terms of the exponential of the operator. This leads, in the finite-dimensional case, to explicit formulas not only for the solutions of first-order equations, but also to the solutions of higher-order equations and systems of equations. The third chapter presents a theory of curvature for curve in a multidimensional space.
The final two chapters essentially comprise an introduction to Fourier analysis. In the treatment of orthogonal expansions, a key role is played by Fourier series and the various kinds of convergence and summability for such series. The material on Fourier transforms, in addition to presenting the more familiar theory, also deals with problems in the complex domain, in particular with problems involving the Laplace transform.
Designed for students at the upper-undergraduate or graduate leve

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I have this programme which I normally use to open pdf files. I wasn't aware that it supports other file formats too, actually it's an excellent ebook reader. It supports epub, mobi, comic books, etc. In fact, I've just opened and started reading an epub book. It has an option for single page view but one can read in book view too. I'm going to play with different fonts and stuff in the advanced options to see if it works. This is cool.


You can try a different ereader such as Coolreader. Additionally, epub documents are zip files usually. If all else fails, you might be able to unzip it and then do a textual search on the individual html source files.


Calibre is one of the oldest and the best Epub readers for your Windows 11 machine. The app is packed with features allowing you to do things like 
downloading epubs, managing metadata, downloading covers for books,
 transferring books from one device to another, and even converting books from one format to another.


Calibre is not only good for reading normal Epub novels but also magazines, comics, and more. If you are looking for a good ebook reader app for your Windows PC, Calibre is certainly the topmost contender for the job.





Thorium Reader is a fantastic free epub reader app for Windows that brings a user-friendly interface with some highly intuitive features to make ebook reading on PC a delightful experience. With support for formats like epub3, Daisy, and audiobooks, Thorium Reader is an open-source app that allows you to organize ebooks conveniently in the library.


The epub reader for Windows devices can read DRM-locked content, which is a great feature. Also, you get other important features such as bookmarks, editing metatags, customizing content layout, annotations, bookmarks, and that too without ads! While being a fairly new epub reader in the market, Thorium has an impressive set of features and its simple-to-use interface is its USP.


EPUB is an ebook format with the extension .epub. It is designed for reflowable content, meaning that an EPUB reader 
can optimize text for a particular display device
. The same EPUB file will render flawlessly on a smartphone, tablet, e-reader, or computer.


Koodo Reader is a modern ebook manager and reader with sync and backup capacities for Windows, macOS, Linux and Web. 

Koodo supports the EPUB (.epub) format, as well as dozens of other formats as PDF, DJVU, .fb2, text, .cbr, .cbz, md, .docx, rtf, HTML books and more. 

Koodo is available for Windows, Linux, macOS, and the web.


Hi. Thank you for this comprehensive discussion of DjVu readers. Actually, DjVuLibre itself is not a reader, but a suite of utilities for making, modifying, and viewing DjVu files. The suite includes the reader created by the original developers, called DjView4, which is the first reader in your article. The 27 MB is for the whole suite.
 In my experience, which includes adding annotations to a DjVu file using command lines in DjVuLibre, the only viewer to accurately show the annotations is this original DjVu viewer, DjView4. Most of the other viewers either do not display the annotations, or get some of them wrong.
 One reason the other viewers are not seen as a problem is that most DjVu files do not contain annotations. As stated, annotations have to be added separately and have to be accurately positioned, often with appropriate coordinates.
 It is really amazing how little the DjVu format is used, considering it actually was the preferred format to showcase on DVDs the archived pages of three well-known publications: The Rolling Stone Magazine, Playboy, and The New Yorker Magazine.
FoxIt Technologies, a company involved with PDFs, apparently purchased the rights to use DjVu-based compression techniques to ma

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