The large number of texts in algebra are to be "blamed" on me starting a PhD degree in mathematics. This study was related to my former work that was heavily tied to cryptography. I abandoned it in favour of PhD study in computer science, which is also my undergraduate background. Nevertheless, algebra is a very fascinating subject; I am not the least sorry for buying these books.
- F. M. Dekking et. al.: A Modern Introduction to Probability and Statistics: Understanding Why and How I've been long looking for an accessible, intuitive and applied introduction to probability and statistics. This one of the best books I've yet seen -- unlike many other statistics books aimed towards engineers, this one is not just a cookbook of formulas, it really explains why things are done as described in "cookbooks".
- Serge Lang: Undergraduate Algebra, 2nd ed.
- Serge Lang: Algebra
- David S. Dummit, Richard M. Foote: Abstract Algebra
- Benjamin C. Pierce: Basic Category Theory for Computer Scientists
- F. Williaam Lawvere, Stephen H. Schnauel: Conteptual Mathematics - A first introduction to categories
- Adam Young, Moti Yung: Malicious Cryptography: Exposing Cryptovirology
- Douglas R. Hofstadter: Gödel, Escher, Bach: An Eternal Golden Braid Fascinating and fun book on the border of mathematics and philosophy. That's where I've learned about the Gödel's incompleteness theorem in an accessible way.
