Math Book Reviews:
This page highlights my reviews of math books. These reviews were originally published on Squidoo, a self-publishing website that I found very flexible and powerful. Squidoo closed some time in 2014, and merged into HubPages, a site I have a strong dislike for.
I am currently in the process of republishing these books on Wizzley, a Squidoo clone that I think is much better-managed and more professional-looking. Not all pages are up; as I restore them, I'll add them to the links below.
If you're curious about me because you want to know whether or not you can trust my reviews, I have a lot of background in math: I have a B.A. from Oberlin College in Pure Math (2002), an M.S. from University of Delaware in Applied Math (2007) and an M.A. from Yale in Statistics (2008). I have experience teaching freshmen-level calculus, and have tutored all levels of math from second grade to graduate students. I also have worked in operations research, statistical consulting, retail pricing, and web analytics.
I love both pure and applied mathematics, and I am passionate about both learning and teaching. I love reading math books, but I am also picky about which ones I like--and I prefer ones that give rich, engaging commentary and make the subject fun and accessible.
More general interest math subjects:
- Calculus and Mathematical Analysis - Reviews of both intro calculus and advanced calculus (mathematical analysis) textbooks.
- Probability Theory - Introductory probability theory textbooks, with some tending towards stochastic processes, some towards statistics, and one covering measure theory.
- Information Theory - Reviews of textbooks on the mathematical theory of information, related to communication, coding theory, statistical inference, ecology, and numerous other topics.
- Linear Algebra - Reviews of linear algebra textbooks, with an emphasis on accessible, abstract books, and also covering books on numerical linear algebra.
- Linear Regression - Reviews of textbooks on linear regression and regression analysis, a common, widespread, and useful technique in statistics and data analysis.
- Statistics - Reviews of textbooks at all levels, including introductory statistics books for a general audience, for people with less of a mathematical orientation, and mathematical statistics books, as well as related subjects like information theory, Bayesian analysis, and decision theory.
More Abstract Subjects:
- Abstract Algebra - General books on abstract algebra, as well as books specific to group theory, commutative algebra, lattice theory, and other sub-disciplines within abstract algebra.
- Combinatorics - Enumerative combinatorics (the mathematics of counting finite or discrete objects), graph theory, and other areas of combinatorics.
- Complex Analysis - Covering books on complex analysis, a branch of analysis (calculus) dealing with real and imaginary numbers.
- Real Analysis - Books on real analysis and the theory of measure and integration (Lebesgue measure, Lebesgue integration, and related subjects).
- Topology - Reviews of textbooks in general point-set topology, theories of knots and surfaces, and algebraic topology.
I would encourage you to visit these pages and leave comments on the specific pages with the reviews, but you can leave general comments here on this page as well.
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