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The Art Of Analysis, Christopher Hammond
The Art Of Analysis, Christopher Hammond
Open Educational Resources
Christopher Hammond, Professor of Mathematics at Connecticut College, has written an introductory textbook in real analysis. This resource is freely available for anyone to use, either individually or in a classroom setting.
The primary innovation of this text is a new perspective on teaching the theory of integration. Most introductory analysis courses focus initially on the Riemann integral, with other definitions discussed later (if at all). The paradigm being proposed is that the Riemann integral and the “generalized Riemann integral” should be considered simultaneously, not separately – in the same manner as uniform continuity and continuity. Riemann integrability is simply …
Mathematics For Liberal Arts (Ma301), Lecture Notes, Lyubomir I. Boyadzhiev
Mathematics For Liberal Arts (Ma301), Lecture Notes, Lyubomir I. Boyadzhiev
Open Educational Resources
These lecture notes are designed to provide the students majoring in the liberal arts with an understanding and appreciation of mathematics as a lively, interesting, and surprisingly rich human activity with many fascinating applications. The text, emphasizing strongly intuitive thinking and visualization, is a collection of topics chosen to show the open-minded readers that:
- The connection between the mathematics presented in the course and down-to-earth, concrete real-life problems is transparent and immediate.
- Modern mathematical discoveries do not have to be the exclusive province of professional mathematicians.
- There is an important aesthetic component in mathematics, and just as in art and …