Interesting Mathematics Books
Mathematical Beginnings
- Trigonometry, by I. Gelfand and A. Shen, 2001.
- Algebra, by I. Gelfand and A. Shen, 2003.
- Method of Coordinates, by I. M. Gelfand, A. A. Kirillov, E. G. Glagoleva, 1990.
- Functions and Graphs, by Gelfand, Glagoleva, and Shnol, 1990.
- Basic Mathematics by Serge Lang.
- Knowing and Teaching Elementary Mathematics: Teachers' Understanding of
Fundamental Mathematics in China and the United States, by Liping Ma, 1999.
Elementary Mathematics
- Yearning for the Impossible: The Surprising Truths of Mathematics by John Stillwell
- Numbers and Geometry, by John Stillwell, 1997.
- Mathematics and its History, 2nd ed, by John Stillwell, 2004.
- Mathematics: A Very Short Introduction, by Timothy Gowers, 2002.
- What Is Mathematics?: An Elementary Approach to Ideas and Methods, by Richard Courant and Herbert Robbins, Revised by Ian Stewart, 1996.
- A History of Pi, by Petr Beckman, 1976.
- Journey Through Genius by William Dunham.
- A Course of Pure Mathematics by G.H. Hardy
Advanced Mathematics
- Mathematics, Form and Function, by Saunders Mac Lane, 1986. (Unfortunately out of print.)
- Proofs and Refutations: The Logic of Mathematical Discovery, by Imre Lakatos, 1976.
- Proofs from the Book, by M. Aigner and G. Ziegler, 2002.
- Mathematical Omnibus by D. Fuchs and S. Tabachnikov
- Glimpses of Algebra and Geometry by G. Toth
The Future of Mathematics -- Reflections on the Past, Research for the Future
Particularly Important For Graduate Students
- Mathematics: Frontiers and Perspectives, 2000.
- Mathematics Unlimited: 2001 and Beyond, 2001.
- Visions in Mathematics - Towards 2000, Special Volume of Geometric and Functional Analysis, 1999.
Linear Algebra
- Linear Algebra and its Applications, by Gilbert Strang, 2005.
- Linear Algebra Done Right, by Sheldon Axler, 2004.
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