Learn Real Analysis With This Excellent Book

In this video I will show you a very interesting real analysis book. This book is excellent for anyone who wants to learn Real Analysis on their own, or anyone who is taking an Undergraduate level course on Advanced Calculus/Real Analysis. The book is titled Real Analysis: A Long-Form Mathematics Textbook and it was written by Jay Cummings.

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[terrylewis]

Wait a darn minute! This great book only cost $16 ! An easy decision to purchase. This is a no-brainer. Thx 😊

[seanhadley]

A coworker gifted this book to me! It has been absolutely invaluable for my analysis class! Its been an absolute pleasure to read! Truly enjoyable. You're almost downplaying how fun and humorous this book is! Anyone taking an analysis course should have this book on hand!

[benhill]

I got that real analysis book a few months ago. I didn't know what to make of it then, but I'm glad it has been approved as an excellent choice! I'll definitely use this book as a supplement for my future undergrad studies on the subject, along with the works of Fitzpatrick and Buck (which I will receive next week), Tao, Ross, and more. I appreciate the organization and clarity of this book by Cummings and the author's acknowledgment of their students in the book's editing. Thanks!

[sophiaisabelle]

The Real Analysis will certainly help out a lot of people. Thank you for your consistency.

[Crazylust]

I have this book and there’s no answers to the exercise. It’s stupid to not have answers to the problems since I learn by examples and that defeat the purpose to learning without any solutions. However, if this book have answers to the exercise, it would’ve been a 10/10. For me, it’s a 7/10.

[poincare]

I bought this book more than one year ago. In those days I was thinking that this book could support me to finally learn RA by my own. Unfortunately, my scholar obligations (PhD in electrical engineering) has demanded a lot of time to me, I finish every day exhausted. I hope when this finishes I can approach to this book, and be able to get the basics of RA.

[hycpxpf]

Your channel is a little wholesome gem. I have always loved math, but was not able (or maybe not focused enough) to major in math. I love the quiet little world of solving problems and collecting books, divorced from the politics and stress of the world. Keep it up and keep smelling books for us :)

[ahmedabbas]

"Elements of Real Analysis" Narayan, Shanti is unique for its clarity and the number of examples and fully solved problems. Indians do excel in writing lucid math books.

[gopalparam]

Dear Math Sorcerer, Greetings from India and I want to thank you once again for inspiring others to learn not just mathematics, but learn in general. I subscribe to the notion that "true knowledge is without borders" and mathematics is no exception. It should include proper and just compensation for the tremendous effort that authors have exerted in writing the book. However, the book seller market place is fraught with inequalities. Since you are discussing Mr. Cummings work, a book that is on my wish list I would state the following. His Real Analysis and Proofs book sell for around $ 17 each in the USA, but in India they are $21 (reasonable) and $50 (unreasonable) respectively. The exorbitant price difference of almost three times the price for a preparatory book to Analysis, which is proof writing, in a country where it should be cheaper by the sheer size of the market place, smacks of price gouging that is inexplicable. I have brought this to Mr. Cummings attention and want to share this with you to have calm and reasoned discussion to solve these unfair pricing policies. Thank you once again for your wonderful guidance.

[georgesealy]

Thanks for this review of this book. I put it in my Amazon shopping cart. It always bugged me that I was not better at Real Analysis. I was an engineering student firstmost and when I reached my junior and senior years I was engaged in other high-powered courses. Later in graduate school, I got involved in higher mathematics; frankly, I didn't have a well-grounded background in it. So here is another reason to buy this book: how about an old guy who has a score to settle and an itch to scratch. LOL.

[PTGaonkar]

Real analysis is one of the reason for me to get into mathematics

[SequinBrain]

0:15 Before my first book, I knew there was no way anything I did would be an improvement on any book currently written, mostly due to the low probability that I've read every book that's out there for comparison. So, knowing this, what you CAN do is supply your own combinations of words and symbols that you've found helpful, faster, unique, or any other beneficial quality to create your work. If nothing else, since what you know comes from what you've studied, there's a low probability that your readers have read the same things, and those tricks and explanations will be entirely new to them. Or, you could create an explanation that you've never seen before, then you know for sure no one will have seen it. Just food for thought if you get bored and decide to cogitate publishing anything.

[StaticBlaster]

I have "proofs" by Jay Cummings. It's a pretty good book.

[adumont]

Thanks for this review. I studied maths a long time ago, and this review made me want to buy the book! When I saw it was that affordable, I couldn't resist. I'm sure I'll enjoy it a lot! I hope Jay will keep writing such excelent Maths books. I'd love to read one on Topology or Álgebra. Right now I can't wait for this to arrive and start reminiscing my Math studies. Thanks again

[hhht]

I love Jay Cummings he also wrote an intro to proofs book that I’m using for class right now, it’s real good and the humor really keeps you going

[tideoo]

I bought this book exactly a couple weeks ago! I was surprised not many people have heard of it and was wondering what other people thought about it. So the timing of your video is uncanny. Thanks!

[navierstokes]

Where is the review of Abbott's Understanding Analysis? 😢

[swordofstrife]

This is the book I used to learn real analysis! Its honestly amazing, the explanations are so clear and this guy has a great sense of humor

[charleswoodard]

This book has been, for the most part, a pleasure. I enjoyed the derailment in series for Cesaro summability, which gives the reader a firmer intuition of a particular arrangement of a conditionally convergent series.

[adoxographer]

I agree. I used this book and it is excellent. He also has one on introduction to proofs.