Recent content by Snicker

These look promising!

Frankly, I haven't. However, I have read several of his other works (Elementary Real and Complex Analysis, Linear Algebra, Elementary Functional Analysis), and so I can attest to the superb quality of his writting.

I have a substantial mathematics library. Perusing my collection, however, I noticed that none of the book authors were women. I find the lack of prominent female authors in mathematics to be disturbing, both in my libabrary and in the literature in general. So can any of you recommend me...

Geometry for the Practial Man is a good book, keep searching. However, my recommendation would be Kiselev's Geometry (published originally in 1892, it is in its 41st edition), which exists in two volumes, Planimetry and Stereometry. I also like Byrne's unique printing of the first six books of...

Classical Dynamics: A Contemporary Approach by Jose and Saletan or Scheck's Mechanics: From Newton's Laws to Deterministic Chaos should cover most of your list. Arnol'd's Catastrophe Theory should cover the rest.

What got me into physics was reading Tipler in middle school, so I admit my review may be bit biased. However, all of the canonical "AP Physics" books aren't worth their price, Tipler included. When comparing the Tipler etc. texts with those of Feynmann, JJ Thomson/Poynting, Maxwell, or even...

The biggest con to this text is its notation; its insistant to use summation notation for every equation made the entire read an eyesore. Content-wise, however, it is encyclopedic, exemplified by an impressive bibliography. This is both good and bad. For example, some texts stress that the...

I wouldn't recommend it on the basis that it is superceded by far better books. To name a few: Arnold, Vladamir. Mathematical Methods of Classical Mechanics. Springer. 1989 José, Jorge and Eugene Saletan. Classical Dynamics: A Contemporary Approach. Cambridge UP. 1998 Lanczos, Cornelius...

Proofs are prose: Be concise and clear.

I haven't read the second book, but Spivak and Shilov are great provided that you've been exposed to Calculus (at the level of, say, Calculus Made Easy). I don't believe, despite its title, that Shilov is much more difficult than Spivak; Shilov is far more intuitive than the standard intro...

You need a lot of linear algebra. Ballentine uses functional analysis at a high level. Shilov's Elementary Functional Analysis is a good survey of that sort of maths. You also need multivariate calculus, not on the level of, say, Calculus on Manifolds, but at least enough to ace a final exam in...

Salman Khan is a good lecturer and his fame is well-deserved. His videos are a nice starting point. The AoPS has their own youtube videos geared toward mathematically-gifted children. Try watching the "MATHCOUNTS minis" series. Euler's Elements are just as long and boring as his Calculus...

I don't know of any good particle physics books for kids, but for cosmology I'd recommend The Manga Guide to the Universe.

Euclidean geometry is different than algebra or calculus in that it is a highly empirical science. That is, there exists many different axiomatizations of Euclidean space which are equally good so it is not necessary to encounter any axiodeductive proof in Euclidean geometry. Visual proofs...

Anything is possible with a little bit of aggressive networking (and a couple of community college credits).