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    Mathematical Physics for Undergrad

    No, it's not. Both are suitable for an undergrad course.. I think you may be referring to this one https://www.amazon.com/dp/0387985794/?tag=pfamazon01-20&tag=pfamazon01-20
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    Good Books about the Overviews of Mathematics

    I like this one https://www.amazon.com/dp/0691118809/?tag=pfamazon01-20&tag=pfamazon01-20 though some parts may be too advanced...
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    Best Classical Mechanics book (not intro to mechanics)

    There are lots of great CM books out there. Besides Taylor and Gregory some of my favorites are - Scheck - Mechanics: From Newton's Laws to Deterministic Chaos https://www.amazon.com/dp/3540219250/?tag=pfamazon01-20&tag=pfamazon01-20 -Lanczos - The Variational Principles of Mechanics...
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    Mathematical Methods book for Undergraduate

    Hassani is the one you're looking for! It's not as rigorous as a pure math book, but it is certainly not the typical hand-wavy math methods book. Szekeres is also a great book though...
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    Why is the Separation of Variables method valid?

    I recommend that you take a look at these http://www.ima.umn.edu/~miller/separationofvariables.html
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    Books on mathematical physics

    I second this reccomendation, it's a very nice book. Stay away from Arfken!!
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    Book on differential geometry

    In my opinion the exercises are not that hard. I think there's a good balance between computational exercises and proofs... you souldn't have much trouble figuring out whether your answers are correct or not.
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    Book on differential geometry

    I have the second edition and it doesn't contain solutions. Maybe they added some in the third edition but I'm not sure...
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    Book on differential geometry

    I'm really surprised no one has mentioned Gauge Fields, Knots and Gravity by John Baez... https://www.amazon.com/dp/9810220340/?tag=pfamazon01-20&tag=pfamazon01-20 I love that book, it's not very rigorous, but it provides a lot of insight, and for each topic gives a list of references, so that...
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    Book(s) to gain practice with green's functions, spherical harmonics

    I'm confused haha.. you dislike hand-wavy books, but you are not looking for a pure math book... You should also note that Hassani wrote two books, Math Methods For Students of Physics and Related Fields (maybe the one you looked at), and the one I mentioned earlier, which is a graduate...
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    Book(s) to gain practice with green's functions, spherical harmonics

    Hassani gives a really nice treatment of Green Functions in his book Mathematical Physics: A Modern Introduction to its Foundations https://www.amazon.com/dp/0387985794/?tag=pfamazon01-20&tag=pfamazon01-20
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    Replacing introductory physics book with a set of more advanced books?

    I'd also replace Born & Wolf (too advanced) and Hecht (too verbose) with Kenyon https://www.amazon.com/dp/0199584605/?tag=pfamazon01-20&tag=pfamazon01-20
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    Need a good course or textbook to learn intermediate ODE's

    You could try Ordinary Differential Equations by Arnold https://www.amazon.com/dp/0262510189/?tag=pfamazon01-20&tag=pfamazon01-20 or Differential Equations: A Dynamical Systems Approach by Hubbard & West https://www.amazon.com/dp/0387972862/?tag=pfamazon01-20&tag=pfamazon01-20 They're both great!
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    Second Calculus Book?

    This is the one you are looking for! Advanced Calculus of Several Variables by Edwards https://www.amazon.com/dp/0486683362/?tag=pfamazon01-20&tag=pfamazon01-20
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    A good textbook in Differential Equations for pure mathematicians

    For a first course I highly recommend Braun https://www.amazon.com/dp/0387978941/?tag=pfamazon01-20&tag=pfamazon01-20
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    : Analysis 2 Textbook recommendations please?

    Besides Munkres I reccomend: -Vector Calculus, Linear Algebra, and Differential Forms: A Unified Approach by Hubbard https://www.amazon.com/dp/0130414085/?tag=pfamazon01-20&tag=pfamazon01-20 - Advanced Calculus of Several Variables by Edwards...
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    Need to find an EM book between Griffiths and Jackson.

    Yes, Classical Electromagnetism by Franklin is the one..
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    Linear Partial Differential Equations

    Well, this book is superb! https://www.amazon.com/dp/0387906096/?tag=pfamazon01-20&tag=pfamazon01-20
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    Physicsforums Bibliography: Discussion thread

    Title: Analysis I,II,III Author: Herbert Amann, Joachim Escher Category: Mathematics > Analysis Amazon link for the book: https://www.amazon.com/dp/3764371536/?tag=pfamazon01-20&tag=pfamazon01-20 Contents: Foundations, convergence, continuous functions, differentiation in one variable...
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    When did you first encounter proof based mathematics?

    UNAM. In Mexico. http://en.wikipedia.org/wiki/National_Autonomous_University_of_Mexico
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    When did you first encounter proof based mathematics?

    Well, I don't find proofs useless... I believe that the things you learn in physics make a lot more sense if you know proof based math. For example, take Laplace's equation, I'm sure that the first method that comes to your mind is separation of variables, but why can you make the assumption...
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    Textbook to replace Morin

    I recommend: Kleppner/Kolenkow https://www.amazon.com/dp/0070350485/?tag=pfamazon01-20&tag=pfamazon01-20 Greiner https://www.amazon.com/dp/0387955860/?tag=pfamazon01-20&tag=pfamazon01-20 https://www.amazon.com/dp/3642034330/?tag=pfamazon01-20&tag=pfamazon01-20
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    When did you first encounter proof based mathematics?

    I took my first proof based course as a freshman. At my university, if you study math, physics, computer science or actuarial science, with very few exceptions, all the math courses you'll take are going to be proof based.
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    Need good math methods for physics book

    Well, actually there are two "Hassani's" There is "Mathematical Methods: For Students of Physics and Related Fields" https://www.amazon.com/dp/0387095039/?tag=pfamazon01-20&tag=pfamazon01-20 this one is not very rigorous (same as Boas), but it has some very nice explanations. It's my...
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    N Piskunov

    Either Piskunov or Courant would be a good bet
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    Need good math methods for physics book

    Boas is a nice book, but in my opinion Hassani is much better..
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    My Mathematical Methods in Physics is written to weed out students, help me!

    I highly recommend Mathematical Methods: For Students of Physics and Related Fields by Hassani. https://www.amazon.com/dp/0387095039/?tag=pfamazon01-20&tag=pfamazon01-20
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    Best book in physics.

    Edwards - Advanced Calculus of Several Variables https://www.amazon.com/dp/0486683362/?tag=pfamazon01-20&tag=pfamazon01-20 Hubbard - Vector Calculus, Linear Algebra, and Differential Forms: A Unified Approach https://www.amazon.com/dp/0130414085/?tag=pfamazon01-20&tag=pfamazon01-20 Morin...
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    Calculus 2 book recommendation (exactly what I need inside)

    All those books are great, so yes... you can simply choose one. But I think that you should skim through them and see which one fits your style.
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    Calculus 2 book recommendation (exactly what I need inside)

    I would add to what micromass said: Advanced Calculus of Several Variables - Edwards Differential Equations and Their Applications - Braun I also like ODE by Tenenbaum/Pollard, it's sometimes not very rigorous but contains all you need and is very clear!
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