Evar D. Nering,
Linear Algebra and Matrix
Linear Algebra and Matrix Theory*
Kenneth Hoffmann And Ray Kunze. Linear
Algebra, 2nd Edition, Prentice-Hall,
Englewood Cliffs, New Jersey, 1971.
https://www.zuj.edu.jo/download/linear-algebra-2nd-edition-k...
Halmos, Finite Dimensional Vector Spaces
George E. Forsythe and Cleve B. Moler,
Computer Solution of Linear Algebraic
Systems
Paul R. Halmos, Naive Set Theory, Van
Nostrand, Princeton, NJ, 1960.
More has been done since this book, but
this book is a gorgeous introduction to
axiomatic set theory. So, even people
who want to dig into the latest work would
do well to have this as the first book.
And for people wanting to read any of the
more advanced material here, knowledge of
this book will be from good to have to
important.
https://piazza-resources.s3.amazonaws.com/is25bi6c6o1oh/isv1...
Walter Rudin, Principles of Mathematical
Analysis
The third edition is a lot better than the
first two.
H. L. Royden, Real Analysis: Second
Edition
Beautifully written, elegant, but maybe
don't work way too hard on the exercises
about upper/lower semi-continuity, and
there is a better summary than
Littlewood's three principles.
Bernard R. Gelbaum and John M. H. Olmsted,
Counterexamples in Analysis
John C. Oxtoby, Measure and Category: A
Survey of the Analogies between
Topological and Measure Spaces
Walter Rudin, Real and Complex Analysis
Walter Rudin, Functional Analysis
Leo Breiman, Probability
Kai Lai Chung, A Course in Probability
Theory, Second Edition
Jacques Neveu, Mathematical Foundations
of the Calculus of Probability
Erhan Cinlar, Introduction to Stochastic
Processes
J. L. Doob, Stochastic Processes
I. I. Gihman and A. V. Skorohod, The
Theory of Stochastic Processes I, II
Donald E. Knuth, The TeX book
Donald E. Knuth, The Art of Computer
Programming, Second Edition
Leo Breiman, "Statistical Modeling: The
Two Cultures," Statistical Science, Vol.
16, No. 3, 199–231, 2001.
Paul R. Halmos, "The Theory of Unbiased
Estimation", Annals of Mathematical
Statistics, Volume 17, Number 1, pages
34-43, 1946.
Paul R. Halmos and L. J. Savage,
"Application of the Radon-Nikodym Theorem
to the Theory of Sufficient Statistics",
The Annals of Mathematical Statistics,
Volume 20, Number 2 (1949), 225-241.
https://projecteuclid.org/download/pdf_1/euclid.aoms/1177730...