My Analysis textbook collection!

Comments · 85

• SO

  @sona4049 · 3 years ago

  these vids are awesome. from a soon-to-be physics phd student, it’s nice to know what other people are learning about

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• NI

  @nicholashayek5495 · 3 years ago (edited)

  <a href="https://www.youtube.com/watch?v=RQlB8JsAI8U&amp;t=67">1:07</a> How to Think About Analysis -- Lara Alcock <br><a href="https://www.youtube.com/watch?v=RQlB8JsAI8U&amp;t=270">4:30</a> Introductory Real Analysis -- Andrey Kolmogorov<br><a href="https://www.youtube.com/watch?v=RQlB8JsAI8U&amp;t=420">7:00</a> Fundamentals of Real Analysis -- Sterling Berberian<br><a href="https://www.youtube.com/watch?v=RQlB8JsAI8U&amp;t=522">8:42</a> From Calculus to Analysis -- Steen Pedersen<br><a href="https://www.youtube.com/watch?v=RQlB8JsAI8U&amp;t=656">10:56</a> Introduction to Real Analysis -- Bartle and Sherbert<br><a href="https://www.youtube.com/watch?v=RQlB8JsAI8U&amp;t=734">12:14</a> Measure and Integral -- Richard Wheeden<br><a href="https://www.youtube.com/watch?v=RQlB8JsAI8U&amp;t=965">16:05</a> Complex Variables and Applications -- Brown and Churchill<br><a href="https://www.youtube.com/watch?v=RQlB8JsAI8U&amp;t=1058">17:38</a> Introduction to Real Analysis -- Robert Brabenec<br><a href="https://www.youtube.com/watch?v=RQlB8JsAI8U&amp;t=1137">18:57</a> Real Analysis -- &nbsp;Stein and Shakarchi<br><a href="https://www.youtube.com/watch?v=RQlB8JsAI8U&amp;t=1347">22:27</a> Real and Complex Analysis -- Papa Rudin :)

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• BB

  @BB-mr3vy · 3 years ago

  bartle and sherbert is so well written. totally agree

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• FL

  @FlaminTubbyToast · 3 years ago

  I think we should teach pure math earlier than we do.

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• ME

  @meteor8076 · 3 years ago

  Please do more book reviews

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• PA

  @padraighill4558 · 3 years ago

  this is a really cool video. theres 100% a market in nerdy book reviews and hindsight galore.

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• MA

  @MadScientyst · 3 years ago (edited)

  You were taught by a &apos;Springer&apos; Author?<br>I envy you my friend!<br>That&apos;s almost like having an Erdos Number, what a privilege!<br><br>Anyways, some minor thoughts /reflections on the titles:<br>*The Princeton Series is a 1st class 4 titles collection<br>*Rudin is tough yes, but considered Gospel<br>*Many &apos;Introduction to Real Analysis&apos; titles exist BUT, their topics sequence can be of varying degrees of difficulty<br>*Multiple Dover &amp; Springer titles exist BUT, you have to know which Authors are recommended eg. Gilbert Strang, Richard Silverman, Serge Lang, Paul Halmos, etc<br><br>As a C.A. /Func Analysis wannabe expert I recommend the following for further exploration:<br>*Theory of Functions of a Complex Variable (3 Vols) - Aleksei Ivanovich Markushevich<br>*A Comprehensive Course in Analysis (5 Vols) - Barry Simon<br>*Analysis I&amp;II - Terrence Tao<br>*Introductory functional analysis with applications - Erwin Kreyszig<br><br>Finally for some humor, a lotta these texts are bound to have the dreaded phrase:<br>&apos;The proof will be left as an exercise to the Student...&apos; 🤣🤣🤣

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• AN

  @Anuvaab · 3 years ago

  First course of analysis I used 2 books of Tao and Bartle Sherbert and then Rudin. <br>I think this combination is quite good for learning analysis.

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• AR

  @arashsioofy · 1 year ago

  My selection in order from zero to hero is:<br>1- Real Analysis, A Long-Form Mathematics Textbook by Jay Cummings <br>2- Real Mathematical Analysis by Charles C. Pugh<br>3- Principles of real analysis by Charalambos D. Aliprantis and Owen Burkinshaw

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• SH

  @shankarjyotisarkar2289 · 2 months ago

  I used Bartle and Sherbert book for my undergrad, and it was so good, almost immediately became favorite. <br><br>Currently in Masters studying Baby Rudin though.

• EG

  @eg8538 · 3 months ago

  I used Bartle and Sherbert in the early 90s for undergrad real analysis. It was such a good book, I didn&apos;t sell it at the end of the semester. Plus I went on to grad school so it was good to hold on to. Still have it.

• EN

  @enrico3667 · 3 years ago

  I always find it very interesting how people rely more or less on textbooks for learning maths, for example basically everyone in my course never even bought a book in the whole 3 years degree, profs are just expected to develop all the theory during the semester without leaving anything out to do by yourself. I don’t know if this is for better or for worse, but I sure saved some money!

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