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"Breakthrough to Math is a four-level program designed specifically to help students overcome learning obstacles and develop math confidence. In this series, skills are broken down into very basic steps by focusing on one skill at a time to make math easier to understand"--P. [4] of cover.
The former National Director of Education for Evelyn Wood Reading Dynamics. presents his do-it-yourself program for increasing reading speed and boosting comprehension. This program distills fundamental principles and skills chat can be learned at home with the help of the drills and exercises provided. And because it lets readers choose their own materials and set their own pace, it's the ideal method for busy people juggling a full schedule.
This is part one of a two-volume book on real analysis and is intended for senior undergraduate students of mathematics who have already been exposed to calculus. The emphasis is on rigour and foundations of analysis. Beginning with the construction of the number systems and set theory, the book discusses the basics of analysis (limits, series, continuity, differentiation, Riemann integration), through to power series, several variable calculus and Fourier analysis, and then finally the Lebesgue integral. These are almost entirely set in the concrete setting of the real line and Euclidean spaces, although there is some material on abstract metric and topological spaces. The book also has appendices on mathematical logic and the decimal system. The entire text (omitting some less central topics) can be taught in two quarters of 25–30 lectures each. The course material is deeply intertwined with the exercises, as it is intended that the student actively learn the material (and practice thinking and writing rigorously) by proving several of the key results in the theory.