[1] J. C., Burkill. A First Course in Mathematical Analysis. Cambridge University Press, Cambridge, 1962.
[2] R., Courant and H., Robbins. What is Mathematics?Oxford University Press, Oxford, 1941. OUP has issued this book in various forms including a second edition with an extra chapter by Ian Stewart discussing later developments.
[3] P. R., Halmos. Naive Set Theory. Van Nostrand, Princeton, 1960. The later publishing history is complicated, but the book is available in many libraries and is usually in print.
[4] F., Klein. Elementary Mathematics from an Advanced Standpoint (Part 1). Macmillan, New York, 1932. Third edition. Translated by E. R. Hedrick and C. A. Hedrick. There is a Dover reprint.
[5] A. E., Maxwell. An Analytical Calculus, volume 1. Cambridge University Press, Cambridge, 1957. There are three further volumes covering successively more advanced topics.
[6] M., Spivak. Calculus. Cambridge University Press, Cambridge, third edition, 1994.
[7] S. P., Thompson. Calculus Made Easy. Macmillan, London, second edition, 1914. There are several editions revised by various hands. The revisions are not always happy. The 1914 edition is available from Project Gutenberg.