Some Great Mathematical Links
Some Great Mathematical Links
Embedded Files
A compilation of useful free online math resources
Research Tools
Virtual Math Library (Florida State University)
Digital Library of Mathematical Functions (National Institute of Standards and Technology)
Dynamic Dictionary of Mathematical Functions (INRIA, France)
Mathematical Physics Visualization and Linear Physical Systems Analysis
Martindale Mathematics Center, Encyclopedia of Mathematics, Numericana, Mathwords
Computing Tools
LaTeX references: List of Symbols, Quick LaTeX Editor, Detexify, Excel Table to Latex
LaTeX templates: Syracuse MGO, Graphics
Matlab/Python/C++ Routines (John Burkardt)
MATLAB Live Script Gallery, MATLAB Documentation, Functions, Examples
Casual Learning
How to understand Einstein's equation for general relativity
Unrelated: The Far Side, Calvin and Hobbes, The Awkward Yeti, iNaturalist
Math News
Phys.org, Quanta, Cambridge Maths Magazine (Science and Technology news)
Numerical Analysis Digest (Numerical Analysis news)
CFD Online (Computational Fluid Dynamics news)
Project Euclid (Math Journal database)
ScienceNews, IFLScience (Science Article database)
Community Advancement in Science
Society for Advancement of Chicanos/Hispanics and Native Americans in Science (SACNAS)
Graduate Degrees for Minorities in Engineering & Science (GEM)
National Action Council for Minorities in Engineering (NACME)
Graduate School/Research Advice
My Collection of Texts in Mathematics and Physics (Updated Jul 2024)
My Collection of Texts in Mathematics and Physics (Updated Jul 2024)
English Literature (104 Texts)
Acheson, D.J., Elementary Fluid Dynamics, 1990
Anton, H. and Rorres, C.I., Elementary Linear Algebra (11th Ed.), 2014
Arkin, H. and Colton, R.R., Statistical Methods (5th Ed.), 1970
Atkinson, K and Han, W., Theoretical Numerical Analysis, 2001
Audin, M., Geometry, 2003
Ayres, F., Theory and Problems of Modern Algebra, 1965
Batchelor, G., An Introduction to Fluid Dynamics, 2000
Birkhoff, G. and MacLane, S., A Survey of Modern Algebra, 1953
Bluman, A., Elementary Statistics: A Brief Version (8th Ed.), 2019
Bondi, H., Relativity and Common Sense, 1962
Boyd, J., Chebyshev and Fourier Spectral Methods (2nd Ed.), 2000
Brogan, W.L., Modern Control Theory, 1974
Burton, T., Volterra Integral and Differential Equations, 1983
Callen, H.B., Thermodynamics, 1960
Chadwick, P., Continuum Mechanics (2nd Ed.), 1976
Chorin, A. and Marsden, J., A Mathematical Introduction to Fluid Mechanics, 1993
Coddington, E. and Levinson, N., Theory of Ordinary Differential Equations, 1984
Corduneanu, C., Principles of Differential and Integral Equations, 1971
Cormen, T., Algorithms Unlocked, 2013
Courant. R. and Robbins, H., What is Mathematics?, 1941
Demmel, J.W., Applied Numerical Linear Algebra, 1997
Dennery, P. and Krzywicki, A., Mathematics For Physicists, 1995
Devlin, K., Mathematics: The Science of Patterns, 1996
Edwards Jr., C.H., Advanced Calculus of Several Variables, 1973
Einstein, A., Relativity: The Special and the General Theory (15th Ed.), 1952
Epstein, B., Partial Differential Equations, 1975
Faraday, M., On the Various Forces of Nature, 1873
Fraleigh, J. and Brand, N., A First Course in Abstract Algebra (8th Ed.), 2021
Gaddis, T., Starting Out with Python (4th Ed.), 2018
Garrity, T.A., All the Mathematics You Missed, 2002
Gelfand, I. and Fomin, S., Calculus of Variations, 1963
Gilbert, L. and Gilbert, J., Elements of Modern Algebra (4th Ed.), 1995
Glowinski, R., Numerical Methods for Nonlinear Variational Problems, 1984
Golub, G.H. and Van Loan, C.F., Matrix Computations, 1983
Goodrich, M. and Tamassia, R., Algorithm Design, 2002
Graves, R. and Wolfe, P., Recent Advances in Mathematical Programming, 1963
Greenwood, D.T., Classical Dynamics, 1977
Guicciardini, N., Reading the Principia, 2003
Haberman, R., Applied Partial Differential Equations (5th Ed.), 2019
Hardy, G.H., A Mathematician's Apology, 1940
Hermes, H. and LaSalle, J., Functional Analysis and Time Optimal Control, 1969
Hochstadt, H., Differential Equations, 1964
Hocking, J. and Young, G., Topology, 1961
Holmes et al., Turbulence, Coherent Structures, Dynamical Systems and Symmetry (2nd Ed.), 2010
Horn, R. and Johnson, C., Matrix Analysis, 1985
Householder, A., The Theory of Matrices in Numerical Analysis, 1964
Hughes-Hallett, D. et al., Applied Calculus, 2014
Hungerford, T., Algebra, 1974
Hurley, P.J., A Concise Introduction to Logic (8th Ed.), 2003
Ibbett, R. and Topham, N., Architecture of High Performance Computers (Vol. II), 1989
Illner, R. et al., Mathematical Modelling: A Case Studies Approach, 2005
Iserles, A., A First Course in the Numerical Analysis of Differential Equations (2nd Ed.), 2008
Iyanaga, S. and Kawada, Y., Encyclopedic Dictionary of Mathematics (English Ed.), 1977
Kelley, J., General Topology, 1955
Kestelman, H., Modern Theories of Integration (2nd Ed.), 1960
Kolmogorov, A. and Fomin, S., Introductory Real Analysis, 2004
Kosmala, W., A Friendly Introduction to Analysis (2nd Ed.), 2004
Kutz, N. et al., Dynamic Mode Decomposition, 2016
Lindgren, B., Statistical Theory, 1962
LeVeque, R., Finite Difference Methods for Ordinary and Partial Differential Equations, 2007
Makarov, B. and Podkorytov, A., Real Analysis: Measures, Integrals and Applications, 2013
Maki, D. and Thompson, M., Mathematical Modeling and Computer Simulation, 2006
Marsden, J. and Tromba, A., Vector Calculus (4th Ed.), 1996
Marshall, D.C., Odell, E., and Starbird, M., Number Theory Through Inquiry, 2007
Meyer, R.E., Introduction to Mathematical Fluid Dynamics, 1971
Miller, K.S., Advanced Real Calculus, 1957
Newton, I., Mathematical Principles of Natural Philosophy, 1687
Nocedal, J. and Wright, S., Numerical Optimization (2nd Ed.), 2006
Papadimitriou, C. and Steiglitz, K., Combinatorial Optimization: Algorithms and Complexity, 1998
Perko, L., Differential Equations and Dynamical Systems (3rd Ed.), 2001
Pinkus, A., On L1-Approximation, 1989
Polyanin, A. and Zaitsev, V, Handbook of Nonlinear Partial Differential Equations, 2003
Powell, M.J.D., Approximation Theory and Methods, 1981
Press et al., Numerical Recipes (3rd Ed.), 2007
Quarteroni, A., Sacco, R., and Saleri, F., Numerical Mathematics, 2007
Quine, W.V., Methods of Logic, 1982
Reddy, J.N., An Introduction to Continuum Mechanics, 2008
Riedi, P., Thermal Physics, 1976
Routh, E.J., Advanced Dynamics of a System of Rigid Bodies (6th Ed.), 1905
Rolf, H., Finite Mathematics (8th Ed.), 2014
Rozanov, Y.A., Probability Theory: A Concise Course, 1969
Rudin, W., Principles of Mathematical Analysis (3rd Ed.), 1976
Saaty, T.L. and Bram, J., Nonlinear Mathematics, 1964
Salgado, A. and Wise, S., Classical Numerical Analysis, 2023
Schneider, G. and Uecker, H., Nonlinear PDEs: A Dynamical Systems Approach, 2017
Spivak, M., A Comprehensive Introduction to Differential Geometry, Volume I (3rd Ed.), 1999
Stewart, J., Calculus: Early Transcendentals (8th Ed.), 2016
Stewart, J., Multivariable Calculus (7th Ed.), 2012
Swetz, F.J., From Five Fingers to Infinity, 1994
Symon, K., Mechanics (3rd Ed.), 1971
Tao, T., Analysis I (3rd Ed.), 2017
Theil, H., Principles of Econometrics, 1971
Thom, R., Structural Stability and Morphogenesis, 1975
Thorpe, J., Elementary Topics in Differential Geometry, 1979
Tobey, J. et al., Intermediate Algebra (8th Ed.), 2017
Tolstov, G.P., Fourier Series, 1962
Trefethen, L.N. and Bau, D., Numerical Linear Algebra, 1997
Van Brunt, B., The Calculus of Variations, 2003
Van Ness, H.C., Understanding Thermodynamics, 1969
Velten, K., Mathematical Modeling and Simulation, 2009
Verbeek, M., A Guide to Modern Econometrics, 2008
Wilkinson, J. and Reinsch, C., Linear Algebra, 1971
Williams, G., Linear Algebra with Applications (9th Ed.), 2019
Wunsch, A.D., Complex Variables with Applications (3rd Ed.), 2005
Serbo-Croatian Literature (9 Texts)
Aljančić, S., Uvod u Realnu i Funkcionalnu Analizu, 1968
Ivković, Z., Teorija Verovatnoća sa Matematičkom Statistikom, 1980
Kalužnin, L., Što je matematička logika, 1964
Manturov, O., Solncev, J., Sorkin, J., and Fedin, N., Rečnik Matematičkih Termina sa Tumačenjima, 1969
Prvanović, M., Osnovi Geometrije, 1980
Šnajder, Z., Nacrtna Geometrija, 1979
Tasković, M. and Arandjelović, D., Teorija Funkcija i Funkcionalna Analiza, 1981
Trahtenbrot, B.A., Što su algoritmi, 1974
Vujčić, V., Ašic, M., and Miličić, N.,, Matematičko Programiranje, 1980
Russian Literature (1 Text)
Vodnev, V., Naumovič, A., and Naumovič, N., Osnovnie Matematicheskie Formuli , 1980
French Literature (1 Text)
Nivanlinna, R., Le théorème de Picard-Borel et la théorie des fonctions méromorphes, 1974
Recommended Books for Self-Learning Concepts in Mathematics:
Recommended Books for Self-Learning Concepts in Mathematics:
Algebra and Geometry (Pre-Calculus): Basic Mathematics by Serge Lang (1971)
Calculus:
Differential and Integral Calculus: Calculus Made Easy by Silvanus Thompson (2nd Edition, 1914)
Multivariable Calculus: Multivariable Calculus by James Stewart (7th Edition, 2012)
Differential Equations: Ordinary Differential Equations by Morris Tenenbaum and Harry Pollard (1985)
Probability: Introduction to Probability and Its Applications by Richard Scheaffer and Linda Young (3rd Edition, 2010)
Linear Algebra: Introduction to Linear Algebra by Gilbert Strang (5th Edition, 2016)
Abstract Algebra: Contemporary Abstract Algebra by Joseph Gallian (9th Edition, 2016)
Analysis: A Friendly Introduction to Analysis by Witold Kosmala (2nd Edition, 2004)
For exploring other mathematical concepts: The Princeton Companion to Mathematics edited by Timothy Gowers (2008)
Travels
Travels
Places I have lived: 7
Vancouver, Canada
Belgrade, Serbia
Calgary, Canada
New York City, USA
Blacksburg, Virginia, USA
London, England
Oklahoma City, USA
Countries visited: 12
US States: 44/50
Canadian Provinces/Territories: 6/13
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