Age of Aussamath, mathematics, arithmetic, geometry

Math Reading List

Age of Aussamath, mathematics, arithmetic, geometry
Math Reading List

📘 Arithmetic

  1. Liping Ma, Knowing and Teaching Elementary Mathematics, Routledge, 2010.

  2. John J. SanGiovanni, Mine the Gap for Mathematical Understanding: Grades 3–5, Corwin, 2016.

  3. Richard W. Fisher, Mastering Essential Math Skills, Math Essentials, 2007.

  4. Paul Lockhart, Measurement, Harvard University Press, 2012.

  5. Marilyn Burns, About Teaching Mathematics, Math Solutions, 2007.

  6. Ron Aharoni, Arithmetic for Parents, Sumizdat, 2007.

  7. Ian Stewart, Numbers and Infinity, Dover, 1996.

  8. George Pólya, Mathematics and Plausible Reasoning, Princeton University Press, 1954.

  9. John Allen Paulos, Innumeracy: Mathematical Illiteracy and Its Consequences, Hill and Wang, 2001.

  10. Derek Haylock, Mathematics Explained for Primary Teachers, SAGE, 2014.

📗 Algebra

  1. Israel M. Gelfand and Alexander Shen, Algebra, Birkhäuser, 1993.

  2. Titu Andreescu and Dorin Andrica, An Introduction to Diophantine Equations, Birkhäuser, 2010.

  3. James W. Anderson, A First Course in Abstract Algebra, Chapman and Hall, 2006.

  4. Charles Pinter, A Book of Abstract Algebra, Dover, 2010.

  5. Michael Artin, Algebra, Prentice Hall, 2011.

  6. Harold R. Jacobs, Elementary Algebra, W.H. Freeman, 1993.

  7. Edward S. Green, Contemporary Abstract Algebra, Cengage, 2011.

  8. W.A. Coppel, Number Theory: An Introduction to Mathematics, Springer, 2006.

  9. Titu Andreescu, Algebra Problem Solver, Birkhäuser, 2010.

  10. Nathan Jacobson, Basic Algebra I, Dover, 2009.

📐 Geometry

  1. Euclid, The Elements, translated by Thomas Heath, Dover, 1956.

  2. Harold R. Jacobs, Geometry: Seeing, Doing, Understanding, W.H. Freeman, 2003.

  3. David A. Brannan, Geometry, Cambridge University Press, 2011.

  4. Robin Hartshorne, Geometry: Euclid and Beyond, Springer, 2000.

  5. H.S.M. Coxeter, Introduction to Geometry, Wiley, 1969.

  6. Michael Henle, Modern Geometries, Prentice Hall, 1997.

  7. Marvin J. Greenberg, Euclidean and Non-Euclidean Geometries, W.H. Freeman, 2007.

  8. Roger Penrose, The Road to Reality, Vintage, 2007.

  9. Peter Giblin, Graphs, Surfaces and Homology, Cambridge University Press, 2010.

  10. Mark Solomonovich, Euclid’s Elements in Translation, Sumizdat, 2010.

📙 Calculus

  1. Michael Spivak, Calculus, Publish or Perish, 2008.

  2. Richard Courant and Fritz John, Introduction to Calculus and Analysis, Springer, 1999.

  3. Morris Kline, Calculus: An Intuitive and Physical Approach, Dover, 1998.

  4. James Stewart, Calculus, Cengage, 2015.

  5. Tom M. Apostol, Calculus, Vols. I and II, Wiley, 1967.

  6. Howard Anton, Calculus, Wiley, 2005.

  7. David Berlinski, A Tour of the Calculus, Vintage, 1996.

  8. Gilbert Strang, Calculus, Wellesley-Cambridge, 1991.

  9. Ron Larson, Calculus, Cengage, 2017.

  10. William Dunham, The Calculus Gallery, Princeton University Press, 2005.

📕 Linear Algebra

  1. Gilbert Strang, Introduction to Linear Algebra, Wellesley-Cambridge, 2016.

  2. Sheldon Axler, Linear Algebra Done Right, Springer, 2015.

  3. David C. Lay, Linear Algebra and Its Applications, Pearson, 2015.

  4. Serge Lang, Linear Algebra, Springer, 1987.

  5. Paul R. Halmos, Finite-Dimensional Vector Spaces, Springer, 1987.

  6. Stephen H. Friedberg et al., Linear Algebra, Pearson, 2018.

  7. Roman Vershynin, High-Dimensional Probability, Cambridge University Press, 2018.

  8. Kenneth Hoffman and Ray Kunze, Linear Algebra, Prentice Hall, 1971.

  9. Jim Hefferon, Linear Algebra, Orthogonal Publishing, 2011.

  10. Peter D. Lax, Linear Algebra and Its Applications, Wiley, 2007.

📒 Abstract Algebra

  1. Michael Artin, Algebra, Prentice Hall, 2011.

  2. Thomas W. Hungerford, Algebra, Springer, 1974.

  3. Joseph A. Gallian, Contemporary Abstract Algebra, Cengage, 2016.

  4. David S. Dummit and Richard M. Foote, Abstract Algebra, Wiley, 2004.

  5. John B. Fraleigh, A First Course in Abstract Algebra, Pearson, 2002.

  6. Charles C. Pinter, A Book of Abstract Algebra, Dover, 2010.

  7. J.J. Rotman, Advanced Modern Algebra, American Mathematical Society, 2010.

  8. Serge Lang, Algebra, Springer, 2002.

  9. Nathan Jacobson, Basic Algebra I & II, Dover, 2009.

  10. I.N. Herstein, Topics in Algebra, Wiley, 1975.

📘 Number Theory

  1. G.H. Hardy and E.M. Wright, An Introduction to the Theory of Numbers, Oxford, 2008.

  2. Ivan Niven et al., An Introduction to the Theory of Numbers, Wiley, 1991.

  3. Kenneth H. Rosen, Elementary Number Theory and Its Applications, Pearson, 2010.

  4. David M. Burton, Elementary Number Theory, McGraw-Hill, 2010.

  5. Richard K. Guy, Unsolved Problems in Number Theory, Springer, 2004.

  6. Paulo Ribenboim, The Book of Prime Number Records, Springer, 1989.

  7. Andrew Granville and Jennifer Granville, Prime Suspects, Princeton University Press, 2019.

  8. Harold M. Stark, An Introduction to Number Theory, MIT Press, 1978.

  9. Tom M. Apostol, Introduction to Analytic Number Theory, Springer, 1976.

  10. Paulo Ribenboim, The Little Book of Big Primes, Springer, 2004.

📗 Real Analysis

  1. Walter Rudin, Principles of Mathematical Analysis, McGraw-Hill, 1976.

  2. Terence Tao, Analysis I and II, Hindustan Book Agency, 2006.

  3. Michael J. Schramm, Introduction to Real Analysis, Dover, 1996.

  4. H.L. Royden, Real Analysis, Macmillan, 1988.

  5. Stephen Abbott, Understanding Analysis, Springer, 2015.

  6. Charles Pugh, Real Mathematical Analysis, Springer, 2002.

  7. Gerald B. Folland, Real Analysis: Modern Techniques and Their Applications, Wiley, 1999.

  8. Brian S. Thomson et al., Elementary Real Analysis, ClassicalRealAnalysis.com, 2008.

  9. William Rudin, Real and Complex Analysis, McGraw-Hill, 1987.

  10. Elias M. Stein and Rami Shakarchi, Real Analysis: Measure Theory, Integration, and Hilbert Spaces, Princeton University Press, 2005.

📙 Complex Analysis

  1. Lars Ahlfors, Complex Analysis, McGraw-Hill, 1979.

  2. Joseph Bak and Donald J. Newman, Complex Analysis, Springer, 1997.

  3. John B. Conway, Functions of One Complex Variable, Springer, 1978.

  4. Elias M. Stein and Rami Shakarchi, Complex Analysis, Princeton University Press, 2003.

  5. Serge Lang, Complex Analysis, Springer, 1999.

  6. E.T. Whittaker and G.N. Watson, A Course of Modern Analysis, Cambridge University Press, 1927.

  7. Reinhold Remmert, Theory of Complex Functions, Springer, 1991.

  8. John P. D’Angelo, Introduction to Complex Analysis and Geometry, American Mathematical Society, 2019.

  9. Robert B. Ash and W.P. Novinger, Complex Variables, Dover, 2007.

  10. Theodore W. Gamelin, Complex Analysis, Springer, 2001.

📒 Topology

  1. James R. Munkres, Topology, Pearson, 2000.

  2. Stephen Willard, General Topology, Dover, 2004.

  3. John L. Kelley, General Topology, Springer, 1975.

  4. Allen Hatcher, Algebraic Topology, Cambridge University Press, 2002.

  5. William S. Massey, A Basic Course in Algebraic Topology, Springer, 1991.

  6. Glen E. Bredon, Topology and Geometry, Springer, 1993.

  7. Michael Henle, A Combinatorial Introduction to Topology, Dover, 1994.

  8. John G. Hocking and Gail S. Young, Topology, Dover, 1988.

  9. Bert Mendelson, Introduction to Topology, Dover, 1990.

  10. Peter May, A Concise Course in Algebraic Topology, University of Chicago Press, 1999.