**References**

**First, a reader - especially one interested in teaching, one interested in introducing non-trivial ideas in a motivated way - may find suitable material in various corners of my web site, especially in the **
**Courses I Teach**
** or **
**Talented Youth**
** sections.**

**I only reference books that I have in my own personal library.**

**Aigner, M. & Ziegler, G., Proofs from the BOOK (3rd edition), Springer-Verlag (2003), 94-97.**

**Baker, A., Transcendental Number Theory, Cambridge University Press, 1975**

**Baker, A. & Masser, D., Transcendence Theory: Advanced and Applications, Proceedings of a conference held in Cambridge in 1976, Academic Press, 1977**

**Baker, A. & Wüstholz, G., Number Theory, transcendence and Diophantine geometry in the next millennium (in MATHEMATICS: FRONTIERS AND PERSPECTIVES, V. Arnold, M. Atiyah, P. Lax and B. Mazur (Editors), American Mathematical Society, (2000), 1-12)**

**Berggren, L., Borwein, J. and P., **
**Pi**
**: A Source Book, Springer, 1997**

**Borel, A., Chowla, S., Herz, C.S., Iwasawa, K., Serre, J-P., Seminar on Complex Multiplication, Springer Lecture Notes on Mathematics, Number 21, 1966**

**Browder, F. (Editor), Mathematical Developments Arising From Hilbert Problems, American Mathematical Society, 1976**

**Brown, Dan, The Da Vinci Code, Corgi Books, 2003**

**Calkin, N. and H. Wilf, H. **
**Recounting the rationals**
**, American Mathematical Monthly, 107 (2000), 360-363.**

**Cassels, J. W. S., An Introduction to Diophantine Approximation (Cambridge Tracts N0. 45), Cambridge University Press, (First printed 1957, reprinted 1965) **

**Conway, J. H., & Guy, R. K., The Book of Numbers, COPERNICUS (An Imprint of Springer-Verlag), 1996**

**Devaney, R. L., Chaos, Fractals, and Dynamics (**
**COMPUTER EXPERIMENTS IN MATHEMATICS**
**), Addison-Wesley, (1990) (I have a signed copy from the AMS Centenary Meeting, Cincinnati, January 1994.)**

**Fel'dman, N. I., and A. B. Shidlovskii, A. B., **
**The development and**
** **
**present state of the theory of transcendental numbers**
**. (London Mathematical Society Translations) Russian Mathematical Surveys (1967), Vol. 22, 1-79.**

**Gelfond, A. O., Algebraic and Transcendental Numbers. Dover, 1960**

**Gelfond, A. O. and Yu. V. Linnik, Yu. V., Elementary Methods in Analytic Number Theory, George Allen & Unwin, 1966**

**Goldfeld, D., **
**Gauss' class number problem for imaginary quadratic fields**
**, Bulletin American Mathematical Society, July 1985, Vol. 13, Number 1, 23-37.**

**Gowers, W. T., **
**THE IMPORTANCE OF MATHEMATICS**
**, available form his Cambridge University web site at**

**www.dpmms.cam.ac.uk/~wtg10/**

**Granville, A. and Tucker, T. J., **
**It's As Easy As abc**
**. Notices American Mathematical Society, November 2002 (available on-line from www.ams.org).**

**Kline, M., Mathematical Thought from Ancient to Modern Times. Oxford University Press, 1972**

**Lang, S., Introduction to Transcendental Numbers, Addison-Wesley, 1966**

**Le Veque, W. J., Topics in Number Theory (Vol. 2), Addison-Wesley, (Second printing 1961)**

**Mahler, K. Lectures on Diophantine Approximations (Part 1: g-adic anumbers and Roth's theorem), University of Notre Dame, 1961**

**Masser, D., Elliptic Functions and Transcendence, Springer Lecture Notes in Mathematics, Number 437, 1975**

**Mordell, L. J., Diophantine Equations, Academic Press, (1969). I have a signed 1st edition dated 21st August 1969, the day of the **
**Oxford 1969**
** photo. See the Oxford 1969 corner of my web site.**

**Nasar, S., **
**A Beautiful Mind**
**. faber and faber, 1998**

**Niven, I., Irrational Numbers, **
**Carus Mathematical Monographs**
**, MAA, 1967**

**Reid, C., Hilbert (includes an appreciation of Hilbert's mathematical work by Hermann Weyl), George Allen & Unwim Ltd, 1970**

**Schmidt, W., Review of **
**Selected mathematical papers of Axel Thue**
**, Bulletin of the American Mathematical Society, Vol. 84, Number 5, September 1978, 919-925.**

**Siegel, C. L., Transcendental Numbers, Princeton University Press, 1949 (recently reissued)**

**Stollarsky, K. B., Algebraic Numbers and Diophantine Approximation, Marcel Dekker Inc., 1974**

**Stollarsky, K. B. Review of books by Baker, Mahler, and Waldschmidt, Bulletin of the American Mathematical Society, Vol. 84, Number 6, November 1978, 1370-1378.**

**Waldschmidt, M., Nombres transcendants, Springer Lecture Notes in Mathematics, Number 402, 1975**

**Whittaker and Watson. Modern Analysis. Cambridge University Press (4th edition, 1935). (My own copy, which I bought in 1990, was the personal copy of the late Cornelius Lanczos. It is stamped as follows: **
**PROF. C. LANCZOS**
** **
**PURDUE UNIVERSITY**
** **
**LAFAYETTE, IND., **
**and is signed: C. Lanczos 1938)**

**Wüstholz, G., A Panorama of Number Theory (or The View from Baker's Garden), Cambridge University Press, 2002**

**The MacTutor History of Mathematics archive at http://www-groups.dcs.st-andrews.ac.uk/~history/ is a famous **

**resource (though I have noted frequent errors of mathematical detail) and some quite bizzare ommisions (e.g. there are - as yet - no entries for Wolfgang Schmidt or Theodore Schneider).**