250 problems in elementary number theory, (Modern analytic and computational methods in science and mathematics)

Science & Math

Sierpiński, Wacław

Mathematics

American Elsevier Pub. Co.

"The book is an elegant piece of work, suitable as a text for the beginning student as well as pleasant and informative reading for the mature mathematician. Both the topologist and the analyst might profit from its inclusion in their libraries." — Scripta MathematicaThe author's previous book on point-set topology, also translated by Professor Krieger, was widely recognized as the leading English-language work on the subject. The present volume is not just a revision of the earlier book, but an entirely new presentation, quite different in its axiomatic treatment and inclusion of new material. In particular, this revised edition includes a large number of interesting worked and unworked examples, as well as new discussions of the cardinalities of various sets.In these pages, Professor Sierpiński, a distinguished Polish mathematician, presents a detailed theory of Fréchet (V) spaces and a comprehensive examination of their relevance to topological spaces, plus in-depth discussions of metric and complete spaces. The author's exposition is clear and refined; moreover, his axiomatic treatment of the theory of point sets, apart from its logical simplicity, has also an advantage in that it supplies excellent material for exercise in abstract thinking and logical argument in the deduction of theorems from stated suppositions alone; i.e., in proving theorems by drawing conclusions according to logic alone, and without any appeal to intuition.

General Topology (Dover Books on Mathematics)

Dover Publications

The Pythagorean Theorem is one of the fundamental theorems of elementary geometry, and Pythagorean triangles — right triangles whose sides are natural numbers — have been studied by mathematicians since antiquity. In this classic text, a brilliant Polish mathematician explores the intriguing mathematical relationships in such triangles. Starting with "primitive" Pythagorean triangles, the text examines triangles with sides less than 100, triangles with two sides that are successive numbers, divisibility of one of the sides by 3 or by 5, the values of the sides of triangles, triangles with the same arm or the same hypotenuse, triangles with the same perimeter, and triangles with the same area. Additional topics include the radii of circles inscribed in Pythagorean triangles, triangles in which one or more sides are squares, triangles with natural sides and natural areas, triangles in which the hypotenuse and the sum of the arms are squares, representation of triangles with the help of the points of a plane, right triangles whose sides are reciprocals of natural numbers, and cuboids with edges and diagonals expressed by natural numbers.

Pythagorean Triangles (Dover Books on Mathematics)

"An elegant piece of work, suitable as a text for the beginning student as well as pleasant and informative reading for the mature mathematician." — Scripta Mathematica This critically acclaimed text by a major twentieth-century mathematician presents a detailed theory of Fréchet (V) spaces and a comprehensive examination of their relevance to topological spaces, plus in-depth discussions of metric and complete spaces. The author's exposition is clear and refined. Moreover, his axiomatic treatment of the theory of point sets, apart from its logical simplicity, has also an advantage: it supplies excellent material for exercise in abstract thinking and logical argument in the deduction of theorems from stated suppositions alone — that is, in proving theorems by drawing on strictly logical conclusions, without appeal to intuition. Numerous worked and unworked examples supplement each chapter.

A Selection of Problems in the Theory of Popular Lectures in Mathematics A Selection of Problems in the Theory of Popular Lectures in Mathematics

A Selection of Problems in the Theory of Numbers: Popular Lectures in Mathematics

Pergamon

Professor Kreiger's translation of Sierpinski's earlier work on point-set topology was speedily recognized as the outstanding work on the subject in English. The present volume is not just a revision of the previous one but a translation of an entirely new book which differs vastly in arrangement, outlook, and presentation; one of its most notable features is the addition of a large number of worked and unworked examples. Professor Kreiger is Associate Professor of Mathematics at University of Toronto.

General Topology: (Mathematical Expositions No. 7) (Heritage)

University of Toronto Press

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Books by Sierpiński, Wacław

See the best price to sell, buy, or rent books by Sierpiński, Wacław. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

250 problems in elementary number theory, (Modern analytic and computational methods in science and mathematics)

General Topology (Dover Books on Mathematics)

Pythagorean Triangles (Dover Books on Mathematics)

General Topology (Dover Books on Mathematics)

A Selection of Problems in the Theory of Numbers: Popular Lectures in Mathematics

General Topology: (Mathematical Expositions No. 7) (Heritage)