What is mathematics? :
Richard Courant;
What is mathematics? : an elementary approach to ideas and methods Courant Richard - 2ND ED - New York : Oxford University Press, 1996. - 566 pages : illustrations ; . 23 cm
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 -
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
9780195687101
510 / RIC
What is mathematics? : an elementary approach to ideas and methods Courant Richard - 2ND ED - New York : Oxford University Press, 1996. - 566 pages : illustrations ; . 23 cm
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 -
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
9780195687101
510 / RIC