TY - BOOK AU - Richard Courant; AU - Herbert Robbins; AU - Ian Stewart TI - What is mathematics?: an elementary approach to ideas and methods SN - 9780195687101 U1 - 510 PY - 1996/// CY - New York : PB - Oxford University Press, N1 - Chapter I. The natural numbers -- Supplement to Chapter I. The theory of numbers -- ; Chapter II. The number system of mathematics -- Supplement to Chapter II. The algebra of sets -- ; Chapter III. Geometrical construction. The algebra of number fields -- ; Chapter IV. Projective geometry. axiomatics. non-euclidean geometries -- ; Chapter V. Topology -- ; Chapter VI. Functions and limits -- Supplement to Chapter VI. More examples on limits and continuity -- ; Chapter VII. Maxima and minima -- ; Chapter VIII. The calculus -- Supplement to Chapter VIII -- ; Chapter IX. Recent developments - N2 - Written for beginners and scholars, for students and teachers, for philosophers and engineers, What is Mathematics? is a sparkling collection of mathematical gems that offers an entertaining and accessible portrait of the mathematical world. Brought up to date with a new chapter by Ian Stewart, this second edition offers new insights into recent mathematical developments and describes proofs of the Four-Color Theorem and Fermat's Last Theorem, problems that were still open when Courant and Robbins wrote this masterpiece, but ones that have since been solved ER -