MATHEMATICS AND MATHEMATICAL PHYSICS
(UNDER CONSTRUCTION)
General: REFERENCE:
Eric's Treasure Trove (Dictionary of Mathematics);
General: GATEWAYS:
Rusin's Mathematical Atlas;
MIT Open Courseware
At the Sign of the Wooden Spoon
A large collection of pre-1925 but still valuable mathematics and physical-science problem sets.
Archive of
This Week's Finds in Mathematical Physics
, 1--50
by John C. Baez [1993-1995] 242 pp.
Mathematical methods of theoretical physics
by Karl Svozil [2012/03] 222 pp.
Cut the Knot: Interactive Mathematics Miscellany and Puzzles
by A. Bogomolny [2017]
Tunneling Through the Math Barrier: The Fledgling Physics Student's Field Guide to Essential Mathematics
by William J. Meese [2018/05] 187 pp. For students entering university.
Elements of Mathematics in Problems: From Olympiads and Mathematical Circles to Profession
edited by A. Skopenkov et al. [2018] Problem collection. 592 pp. In Russian.
MATHEMATICS EDUCATION:
On the Study and Difficulties of Mathematics
by Augustus De Morgan [Chicago: Open Court, 1898]
Mathematical education
by W. P. Thurston [1990/09]
Reforms of the [Chinese] university mathematics education for non-mathematical specialties
by S. Xiao [1995]
From art to geometry: Æsthetic and beauty in the learning process
by N. Pastena et al. [2015/01]
Mathematics education in Russia and mathematics circles
by D. G. Bartolomé [2015/12]
From Mathematics and Education, to Mathematics Education
by F. Furinghetti et al. [2016/02]
History of mathematics education: Italy
by M. Menghini [2016/03]
Cut the Knot: Interactive Mathematics Miscellany and Puzzles
by A. Bogomolny [2017]
Kolmogorov reform of mathematical education, 1970--1980
by Yu. A. Neretin [2019/11]
On teaching mathematics to gifted students
by A. Shukla [2019/10]
The human brain and mathematics: Recent research and educational questions
by G. E. Davis and M. A. McGowen [2021/09]
Mathematics and mathematics education in the 21st century
by A. Borovik et al. [2022/01]
WRITING:
A Primer of Mathematical Writing
by Steven G. Krantz [2016/12]
How to write a contemporary scientific article
by V. M. Krasnov [2022/03]
Algebra
Algebraic Geometry
Analysis
Complexity
Computation
Cosmology
Discrete Mathematics;
Field Theory (General)
Foundations of Physics
General Relativity
Functional Analysis
Geometry and Topology
Group Theory and Abstract Algebra
Knots and Braids
Non-Standard Analysis
Special Functions
Statistical Mechanics and Thermodynamics
Supersymmetry and String Theory
Aspects: FOUNDATIONS OF ARITHMETIC:
Gödel for Goldilocks: A Rigorous, Streamlined Proof of Gödel's First Incompleteness Theorem, Requiring Minimal Background
by Dan Gusfield [2014/09]
Current research on Gödel's incompleteness theorems
by Y. Cheng [2020/09]
Goedel's incompleteness theorem
by S. Batzoglou [2021/12]
Sixty-three years of the MacDowell--Specker theorem
by R. Kossak [2022/08]
Independence of the Continuum Hypothesis: An Intuitive Introduction
by S. Batzoglou [2022/08]
An introduction to mathematical logic
by A. Freund [2023/10] Short textbook.
Aspects: PROOF THEORY:
Developments in Formal Proofs
by Thomas C. Hales [2014/06]
Aspects: SEQUENCES AND SERIES:
Convergence of sequences: A survey
by B. Franci and S. Grammatico [2021/11]
Re: COMPUTER METHODS:
A Survey on Retrieval of Mathematical Knowledge
by Ferruccio Guidi and C. Sacerdoti Coen [2015/05]
To contribute to this page, write Norman Redington,
redingtn@mit.edu
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