I would recommend Mathematical Omnibus: Thirty Lectures on Classic Mathematics, by D. B. Fuks and Serge Tabachnikov: http://books.google.ru/books?id=bomkJMq2H9sC&source=gbs_similarbooks and also books from the series Kvant Selecta: http://books.google.ru/books/about/Kvant_Selecta.html?id=aJLcCFyLwhEC&redir_esc=y
P.S. For systematic study of elementary geometry a good book is Kiselev's Geometry (in two parts): http://www.amazon.com/Kiselevs-Geometry-Book-I-Planimetry/dp/0977985202 combined with Prasolov's "Problems in Plane and Solid Geometry": http://students.imsa.edu/~tliu/Math/planegeo.pdf
For an introductory study of basics calculus, I recommend Spivak's "The Hitchhiker's Guide to Calculus": http://www.amazon.com/dp/0883858126/?tag=stackoverfl08-20 and then "Analysis by Its History", by Ernst Hairer and Gerhard Wanner: http://www.springer.com/gp/book/9780387945514