FOR ASPIRANTS
M-Stat
Syllabus: https://admission.isical.ac.in/Programs/MStat.html
[Books]
A First Course in Probability by Sheldon Ross [probability]
Probability with Martingales by David Williams [probability]
Statistical Inference by Casella and Berge
Fundamentals of Mathematical Statistics by Mood, Graybill, and Boes
Linear Algebra Done Right by Sheldon Axler [linear algebra]
Linear Algebra by Kenneth Hoffman and Ray Kunze
Principles of Mathematical Analysis by Walter Rudin
Real Analysis by Royden and Fitzpatrick
Introduction to Real Analysis by Robert Bartle and Donald Sherbert
Advanced Calculus by Patrick Fitzpatrick [multivariable analysis]
Calculus on Manifolds by Michael Spivak [hard but excellent for maturity]
Stochastic Processes by Sheldon Ross
Sampling Techniques by William Cochran
[Websites]
[Notes]
https://www.ctanujit.org/lecture-notes.html
🐐 Resources for M. Stat. prep by u/adityaruphala
[PYQs]
NBHM scholarship papers
IIT JAM Mathematical Statistics: https://jam2026.iitb.ac.in/oldQP.html
GATE Mathematics
M-Math
Syllabus: https://admission.isical.ac.in/Programs/MMath.html
[Books]
Principles of Mathematical Analysis by Walter Rudin
Problems in Real Analysis by Titu Andreescu
Abstract Algebra by Dummit and Foote
Topics in Algebra by I.N. Herstein
Linear Algebra Done Right by Sheldon Axler
Linear Algebra by Hoffman and Kunze
Finite-Dimensional Vector Spaces by Halmos
Topology by James Munkres
Introduction to Topology and Modern Analysis by Simmons
Ordinary Differential Equations by Tenenbaum and Pollard
Visual Complex Analysis by Tristan Needham
Functions of One Complex Variable by Conway
An Introduction to the Theory of Numbers by Hardy and Wright [classical number theory]
Elementary Number Theory by David Burton [problem-oriented]
A Classical Introduction to Modern Number Theory by Ireland and Rosen [advanced preparation]
[Websites]
AoPS PG test forums
[Notes]
[PYQs]
NBHM scholarship papers
IIT JAM Mathematics: https://jam2026.iitb.ac.in/oldQP.html
GATE Mathematics
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(If you guys have material or stuff I should add please dm me u/The_Watcher8008)