This book outlines an elementary, one-semester course that exposes students to both the process of rigor, and the rewards inherent in taking an axiomatic approach to the study of functions of a real variable. The aim of a course in real analysis should be to challenge and improve mathematical intuition rather than to verify it. The philosophy of this book is to focus attention on questions which give analysis its inherent fascination.
This new edition is extensively revised and updated with a refocused layout. In addition to the inclusion of extra exercises, the quality and focus of...
This book outlines an elementary, one-semester course that exposes students to both the process of rigor, and the rewards inherent in taking an axi...
"When the Europeans came to this continent at the end of the fifteenth century they found it already inhabited by races of men very different from themselves. These people, whom they took to calling 'Indians, ' were spread out, though very thinly, from one end of the continent to the other. Who were these nations, and how was their presence to be accounted for? To the first discoverers of America, or rather to the discoverers of the fifteenth and sixteenth centuries (Columbus and his successors), the origin of the Indians presented no difficulty. To them America was supposed to be simply an...
"When the Europeans came to this continent at the end of the fifteenth century they found it already inhabited by races of men very different from the...
