Since the early part of the 20th century, topology has gradually spread to many other branches of mathematics, and this book demonstrates how the subject continues to play a central role in the field. Written by a world-renowned mathematician, this classic text traces the history of algebraic topology beginning with its creation in the early 1900s and describes in detail the important theories that were discovered before 1960. Through the work of Poincare, de Rham, Cartan, Hureqicz, and many others, this historical book also focuses on the emergence of new ideas and methods that have led...
Since the early part of the 20th century, topology has gradually spread to many other branches of mathematics, and this book demonstrates how the s...
This book is of interest for students of mathematics or of neighboring subjects like physics, engineering, computer science, and also for people who have at least school level mathematics and have kept some interest in it. Also good for younger readers just reaching their final school year of mathematics.
This book is of interest for students of mathematics or of neighboring subjects like physics, engineering, computer science, and also for people wh...
The author describes the development of the Lie groups and their ad vancement into the modern mathematics. At the end of the last century Sophus Lie investigated in his voluminous work the local properties of the Lie groups. Not before about 1925 mathematicians, instigated by E. Cartan and H. Weyl, engaged in researching their global structure. Very soon the conception of Lie groups triumphantly advanced within the whole scope of mathematics. The author gives a detailed account of the various applications of the Lie groups, namely the linear representations of the Lie groups, their...
The author describes the development of the Lie groups and their ad vancement into the modern mathematics. At the end of the last century Sophus Lie i...