Princeton Lectures in Analysis
| Fourier Analysis Complex Analysis Real Analysis Functional Analysis | |
| Author | Elias M. Stein Rami Shakarchi |
|---|---|
| Country | United States |
| Language | English |
| Discipline | Mathematics |
| Publisher | Princeton University Press |
| Published | 2003, 2003, 2005, 2011 |
| No. of books | 4 |
The Princeton Lectures in Analysis is a series of four mathematics textbooks, each covering a different area of mathematical analysis. They were written by Elias M. Stein and Rami Shakarchi and published by Princeton University Press between 2003 and 2011.
History
The first author, Elias M. Stein, is a mathematician who has made significant research contributions to the field of mathematical analysis. He had authored or co-authored several advanced textbooks on analysis.[1]
Beginning in the spring of 2000, Stein taught a sequence of four intensive undergraduate courses in analysis at Princeton University, where he was a professor. At the same time he collaborated with Rami Shakarchi, then a graduate student in Princeton's math department studying under Charles Fefferman, to turn each of the courses into a textbook. Stein taught Fourier analysis in that first semester, and by the fall of 2000 the first manuscript was nearly finished. That fall Stein taught the course in complex analysis while he and Shakarchi worked on the corresponding manuscript. Paul Hagelstein, then a postdoctoral scholar in the Princeton math department, was a teaching assistant for this course. In spring 2001, when Stein moved on to the real analysis course, Hagelstein started the sequence anew, beginning with the Fourier analysis course. Hagelstein and his students used Stein and Shakarchi's drafts as texts, and they made suggestions to the authors as they prepared the manuscripts for publication.[2] The project received financial support from Princeton University and from the National Science Foundation.[3]
Shakarchi earned his Ph.D. from Princeton in 2002[4] and moved to London to work in finance. Nonetheless he continued working on the books, even as his employer, Lehman Brothers, collapsed in 2008.[2] The first two volumes were published in 2003. The third followed in 2005, and the fourth in 2011.
Reception
The books "received rave reviews indicating they are all outstanding works written with remarkable clarity and care."[1] Positive reviews came from Peter Duren,[4] Fernando Q. Gouvêa,[5] René L. Schilling,[6] Peter Shiu,[7] and William Ziemer.[8]
List of books
- Stein, Elias M.; Shakarchi, Rami (2003). Fourier Analysis: An Introduction. Princeton University Press. ISBN 069111384X.
- Stein, Elias M.; Shakarchi, Rami (2003). Complex Analysis. Princeton University Press. ISBN 0691113858.
- Stein, Elias M.; Shakarchi, Rami (2005). Real Analysis: Measure Theory, Integration, and Hilbert Spaces. Princeton University Press. ISBN 0691113866.
- Stein, Elias M.; Shakarchi, Rami (2011). Funcional Analysis: Introduction to Further Topics in Analysis. Princeton University Press. ISBN 9780691113876.
References
- ^ a b Robertson, E. F. (Feb. 2010). "Elias Menachem Stein". University of St Andrews. Retrieved Sep. 16, 2014.
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- ^ Page ix of all four Stein & Shakarchi volumes.
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- ^ "Fourier Analysis: An Introduction". Mathematical Association of America. Apr. 1, 2003. Retrieved Sep. 16, 2014.
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