Otherwise General Sci book thread
is this book good for learning proofs??
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.
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?
when will the rudin meme end
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.
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.
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.
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.
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.