(1)
(1)
'... much material previously unpublished in book form.' Zentralblatt MATH
(1)
(3)'Upward, yet not Northward.' How would a creature limited to two dimensions be able to grasp the possibility of a third? Edwin A. Abbott's droll and delightful 'romance of many dimensions' explores this conundrum in the experiences of his protagonist, A Square, whose linear world is invaded by an emissary Sphere bringing the gospel of the third dimension on the eve of the new millennium. Part geometry lesson, part social satire, this classic work of science fiction brilliantly succeeds in enlarging all
readers' imaginations beyond the limits of our 'respective dimensional prejudices'. In a world where class is determined by how many sides you possess, and women are straight lines, the prospects for enlightenment are boundless, and Abbott's hypotheses about a fourth and higher dimensions seem startlingly relevant today. This new edition of Flatland illuminates the social and intellectual context that produced the work as well as the timeless questions that it raises about the limits of our perception and knowledge.
Elementary-level text by noted Soviet mathematician offers superb introduction to positive-integral elements of theory of continued fractions. Clear, straightforward presentation of the properties of the apparatus, the representation of numbers by continued fractions and the measure theory of continued fractions. 1964 edition. Prefaces.
"Of all the work that has been done in recent years on connections between descriptive set theory and analysis, the results contained in this book are the deepest and most significant." Mathematical Reviews
