Book thread

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>>7792822
is this book good for learning proofs??

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>>7793027
This one is, and it's free.

>>7793027
this for free
http://bookzz.org/book/2028827/32d686

>>7792822
I like Steven R. Lay's book "Analysis with an Introduction to Proof"

>>7792855
My copy just arrived today. Looks intense, can't wait to get started on it.

>>7792822
rudin a shit. full of errors. Gilardi's analysis better

>>7792822
I guess it depends on your circumstance, I tried reading Rudin for self-study, but I couldn't get on with it. I'm guessing it works well as part of a lecture series but not so much when you're learning in isolation. On the other hand I found Abbott's "Understanding Analysis" to be a great introduction to analysis, from that I moved onto Pugh's "Real Mathematical Analysis", however it does seem pretty meandering in the first few chapters. Both of which I can highly recommend.

Does anyone have any bioinformatics/ computational biology recommendations?

>>7793615
What focus, genomics or mathematics for systems bio

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All the fundamentals an applied statistician needs.

>>7794218
Probably genomics but isn't math a big part of bioinformatics no matter what? I'm interested in the applications as they relate to immunology/pathology.

>>7793034
Seconding. I bought a hardcover copy for like $22 on Amazon. More than worth it. This book is unequivocally excellent. However, after it, go through something like Axler's LADR (best aired or Ross' Analysis Lite (or baby Rudin if you have a death wish) to cement shit.

What's a good, rigorous (general, if possible) combinatorics book, family?

>>7794266
(best paired with Shilov)*
Fuck my shit up, senpoo

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>>7792822
when will the rudin meme end

>>7792855
What, that's the cover? How is a mountain related to electrodynamics?

>>7792855
>>7793190
What sorts of physical systems does this text go over? Just particles moving through electric and magnetic fields?

best introduction to linear algebra?

>>7792822
Fuck Rudin, if only for so many undergrads who try to use it for a first course.

Terence Tao's Analysis I & II are the best for a first view. Vol I is especially amazing at introducing the reader to formal mathematics, from set theory to the natural, rational and real numbers.

>>7794826
Hoffman&Kunze - Linear Algebra / Axler - Linear Algebra Done Right
There isn't much controversy here. Pick either, both are amazing and everyone will tell you to use either.

>>7794388
Haven't worked through it yet. Just qouting a few things from the ToC.

It strats by developing electrostatics then has two chapters with different IBVPs on it.

Then multipoles statics of macroscopic media and dielectrics.

Magnetostatics, Faradays's law and quasi-static fields.

Then Maxwell equations and macroscopic electromagnetism.

Waves in dieleectrics, conductors, plasma, ionosphere, magnetosphre, resonant cavities and optical fibres, radiation both macroscopic and atomic

SR for particles, fields and spin

Collisions and scattering fo charged parctles, Cherenkov and transition radiation

Radiation of moving charges, Bremsstrahlung

Radiation damping and classical models of charged particles.


Sounds pretty intimidating to be honest. I'm scared.

>>7794266
>combinatorics book

generatingfunctionology by Wilf
https://www.math.upenn.edu/~wilf/DownldGF.html

I am looking to learn string theory for fun, what book should I get? Preferably with questions so check so I haven't missed anything.

Anyone know any good books on Differential Geometry or Multilinear Algebra from a rigorous mathematical foundation? Currently using Lee's Smooth Manifolds.

Pic semi related>>7795384
Bump

I really enjoyed that book. I don't enjoy university much, but that book kept me alive.

>>7794276
It is not a meme. It really is a good book for first courses of analysis.

Does anyone have any suggestions for books that cover classification of quadratic forms?

gotta roll

>>7795294
String Theory and M-Theory: A Modern Introduction by Katrin Becker
String Theory by Joseph Polchinski

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Hey guys.

I'm going to use this textbook this semester; it's one of the recommended texts in university. Is this book okay?

I'm also going to use Principles of Mathematical analysis by Walter Rudin.

Can't wait to begin my journey in pure maths.

I have just finished Edward's "Understanding Calculus" video-lectures (all 3 courses along with Larson's textbook and doing the exercises from video-lectures notes) and want to go through some intermediate-level textbook. For vector calculus I chose Marsden|Tromba's texbook. What should I choose for single variable calculus (what is an analog of Mardsen|Tromba's textbook for single variable calculus from all that variance of modern calculus textbooks with solution manuals and colourful pictures)?
in b4 Spivak, Apostol, Courant, but nah, I have Fichtenholz for rigorous theory. Just want to drill exercises with slightly more rigorous text than Larson's exposure.

>>7794296
Mountains have electrons.

>>7793429
>rudin a shit

Best and first analysis class I ever took used baby Rudin. Seriously, excellent book.

>>7794832
This shill again.

Fuck off about your goddam. Terrence Tao book. Literally nobody gives a flying fuck about that book. Rudin is a good book. I'm sorry if you didn't appreciate it.

>>7798837
Oh boy. >can't wait to begin my journey into pure maths!
This was me 2 years ago when I decided to take Topology, Analysis, and Abstravt Algebra at the same time, all graduate level, after having only jist completed my second course in Calculus (because topology has NO prerequisite knowledge, right? Right guys?!?!). Fuck that was a disaster. All 3 are beautiful subjects but diving into them all at once and with almost no prior experience at all was a disaster. Good luck to you. Do NOT make that mistake.

Also, we used Rudin lol.

>>7800403
>class
If we're talking about a book that stands on its own, then rudin is not one