Dr. J. Ramanathan



Field

Mathematical Reasoning (Math 110, Fall 2018)

Theory of Groups (Math 518, Fall 2018)

Books

Analysis
  • Bressoud, David. A Radical Approach to Real Analysis. Mathematical Association of America, Washington D.C. 1994.

    A genetic development of the basic notions of convergence.

  • Courant, Richard and Fritz, John. Introduction to Calculus and Analysis I. Springer 1998.

    A reissue of one of the classic calculus texts.

  • Steele, Michael. The Cauchy-Schwarz Master Class. Cambridge University Press, New York 2004.

    An engaging introduction to inequalities.

Biography
  • Hoffman, Paul. The Man Who Loved Only Numbers. Hyerpion, New York 1998.

    About Paul Erdos.

  • Nasar, Sylvia. Beautiful Mind. Simon and Schuster, New York 1998.

    About John Nash.

Combinatorics
  • Wilf, Herbert. Generating Functionology, 3rd ed.. Academic Press 1994.

    Treats the application of power series to combinatorial problems. The second edition of the book in pdf format is available for free at: http://www.math.upenn.edu/~wilf/DownldGF.html.

  • Conway, J.H. and Guy, R.K.. Book of Numbers. Copernicus, 1996.

    Discusses the many amazing properties of the integers and integer sequences. Graphics in this book is striking.

Number Theory
  • Apostol, T.M.. Introduction to Analytic Number Theory. Springer-Verlag 1976.

    A comprehensive introduction to number theory aimed at advanced undergraduates and graduate students.

Physics
  • Oliver, David. The Shaggy Steed of Physics, 2nd ed.. Springer, 2004.

    A poetic book that uses the classical two-body problem to motivate many of the fundamental ideas in modern physics.

Probability
  • Grimmett, G.R. and Stirzaker, D.R.. Probability and Random Processes. Oxford University Press, Oxford UK 2001.

    Comprehensive introduction to probability good for upper level undergranduates and beginning graduate students.

  • Klenke, A.. Probability Theory: A Comprehensive Course. Springer-Verlag, 2008.

    This book is appropriate for a graduate student. It is very thorough and has non-trivial examples.

Notes and such

Trigonometry in a Quick Turn

These notes cover elementary trigonometry from the unit circle point of view.

ORCID record

Alternatively, you can use the qr code.