This book is of interest for students of mathematics or of neighboring subjects like physics, engineering, computer science, and also for people who have at least school level mathematics and have kept some interest in it. Also good for younger readers just reaching their final school year of mathematics.

Introduction.- Mathematics and Mathematicians.- The Nature of Mathematical Problems.- Objects and Methods in Classical Mathematics.- Appendix.- Some Problems of Classical Mathematics.- Appendix.- New Objects and New Methods.- Appendix.- Problems and Pseudo-Problems about "Foundations".-Appendix.- Index.