Reviews for A Course in Mathematical Analysis Volume 1: Derivatives and Differentials, Definite Integrals, Expansion in Series, Applications to Geometry

The average rating for A Course in Mathematical Analysis Volume 1: Derivatives and Differentials, Definite Integrals, Expansion in Series, Applications to Geometry based on 2 reviews is 3 stars.

Review # 1 was written on 2010-03-29 00:00:00 Christian Ederer I refuse to tolerate any mathematician who says "All of science"---get over yourself---but these specialty topics (jeu de taquin, schur lemma, group characters) are ably covered and deserve wider recognition. ((( By the way, ETS (the people who process childrens' test scores to prevent them from getting ahead in life) don't know this material, and should. Read upon linking, aligning, scores, scaling, Rasch models, and "equating", and you'll find that there's nothing to it but nonparametric guesswork bullshit. The theory of the symmetric group is quite deep but expositions of it are, unfortunately, hidden away. The chances that psychometricians will read this review and act on my advice are nil, so prepare for another century of your kids' test scores based in pseudoscience. ))) That said, Sagan covers a ton of interesting material. Who knows if it will apply to your area, but The symmetric group as a topic demonstrates what mathematics is like generally. Technically, the symmetric group is "just a" subset of linear algebra, considering 0/1 matrices which are almost entirely sparse except for a single 1 in each row/column, like: 0 1 0 1 0 0 0 0 1 . However, contemplating the general linear group as shuffles, and asking how these could be, e.g., factored, leads somewhere entirely different. Interesting subject matter, writing leaves much to be desired.

Review # 2 was written on 2012-03-09 00:00:00 Nicholas Steele This is a very good book on Lebesgue measure theory. Actually this book is recommended to me by my supervisor.