Elias Zakon's Mathematical Analysis I: Metric Spaces, Open & Closed Sets

[ranger]

Mathematical Analysis I by Elias Zakon.

This covers the following topics: metric spaces, open and closed sets, convergent sequences, function limits and continuity, compact sets, sequences and series of functions, power series, differentiation and integration, Taylor's theorem, total variation, rectifiable arcs, and sufficient conditions of integrability

This text is appropriate for any undergraduate course in real analysis or mathematical analysis, or for a preparatory class for beginning graduate students who will later advance to courses in measure theory and functional analysis

 

[quasar987]

I'd add that it has a nice introduction (chaper 1) to set theory that introduces the concept of sequence.

I have never had an introduction to set and been seeking a complete formal one for quite some time. I assume this is the case of other people also, so there: this book has it.

 

[Jeff Ford]

I emailed the publisher yesterday and found out that volume II is completed and it currently at the typesetting stage. It should be done soon.

 

[JasonRox]

I emailed the publisher yesterday and found out that volume II is completed and it currently at the typesetting stage. It should be done soon.

That's great!

These books are golden.

Since I'm on my break, I should go through some of it again. I did the Basic Analysis one before. I'll go through the Mathematical Analysis one too.

 

[TD]

I've emailed them this week and I'm affraid it's going to take a bit longer than expected.

Thank you for your note.


Volume II has been completed and typed, but the correction, formatting, copy-editing, etc., have been going relatively slowly. I regret that I cannot give a time for when the book will be completed; it will be at least some months.


Bradley Lucier
Publisher, the Trillia Group