For prospective summer or winter intern students
I AM NOT TAKING ANY INTERNS IN 2022 and 2023
It is usually difficult for me to accomodate interns outside those who come with Indian Academy summer fellowships or other similar ones. If possible, please do try for one of these fellowships in future.
If you are interested in probability you might want to look at the following book and two course web-pages, especially the homework and quizzes :
https://www.isibang.ac.in/~athreya/psweur/
http://math.iisc.ac.in/~manju/UGstatprob18/statprob2018.html
http://math.iisc.ernet.in/~manju/ProbModels/Probmodels.html
The reference books - Pitman and Sheldon Ross - are probably the best suited ones.
A little more advanced is the book of Meester.
For practice problems in basic mathematics (Linear Algebra, Analysis, Probability and Statistics), please see https://www.isibang.ac.in/~athreya/swms2018f/
For additional reading, please see https://www.isibang.ac.in/~athreya/swms2018f/#smrd
Also for more advanced topics in probability, see http://math.iisc.ernet.in/~manju/suggestedreading.html
For various other courses, please see the following pages for reference books as well as question papers for some practice problems. Some books that I recommend to for an introduction to other basic mathematics courses are :-
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Analysis - Bartle and Sherbert : Introduction to Real Analysis
Linear Algebra - A. R. Rao and Bhimasankaram : Linear Algebra ; G. Strang : Applied linear algebra
Algebra - S. D. Dummit and M. R. Foote : Abstract Algebra.
Topology - G. F. Simmons : Topology and Modern Analysis.
Complex Analysis - D. Sarason : Notes on Complex Function Theory.
Differential Equations - G. F. Simmons : Differential Equations : Theory, Technique and Practice ; W. Boyce and R. C. DiPrima : Elementary Differential Equations.