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3 produkter
3 produkter
The Genesis of the Abstract Group Concept: A Contribution to the History of the Origin of Abstract Group Theory
Häftad, Engelska, 2007
241 kr
Skickas inom 3-6 vardagar
536 kr
Skickas inom 10-15 vardagar
The concept of infinity has been a topic of great interest for hundred of years, for scholars and lay people alike. The theory of infinte sets lies at the heart of much mathematics, yet it has produced a series of paradoxes that have led many scholars to doubt the soundness of its foundations. This work presents a popular-level account of the roads followed by human thought in attempts to understand the idea of the infinite in mathematics and physics. It aims to give the general reader a deep insight into the nature of the problem and its importance to an understanding of the world.
325 kr
Skickas inom 5-8 vardagar
This book explores some of the major turning points in the history of mathematics, ranging from ancient Greece to the present, demonstrating the drama that has often been a part of its evolution. Studying these breakthroughs, transitions, and revolutions, their stumbling-blocks and their triumphs, can help illuminate the importance of the history of mathematics for its teaching, learning, and appreciation.Some of the turning points considered are the rise of the axiomatic method (most famously in Euclid), and the subsequent major changes in it (for example, by David Hilbert); the “wedding,” via analytic geometry, of algebra and geometry; the “taming” of the infinitely small and the infinitely large; the passages from algebra to algebras, from geometry to geometries, and from arithmetic to arithmetics; and the revolutions in the late nineteenth and early twentieth centuries that resulted from Georg Cantor’s creation of transfinite set theory. The origin of each turning point is discussed, along with the mathematicians involved and some of the mathematics that resulted. Problems and projects are included in each chapter to extend and increase understanding of the material. Substantial reference lists are also provided.Turning Points in the History of Mathematics will be a valuable resource for teachers of, and students in, courses in mathematics or its history. The book should also be of interest to anyone with a background in mathematics who wishes tolearn more about the important moments in its development.