From a review of the second edition:"This book covers many interesting topics not usually covered in a present day undergraduate course, as well as certain basic topics such as the development of the calculus and the solution of...

In dem Buch erkundet der preisgekrönte Autor John Stillwell die Konsequenzen, die sich ergeben, wenn man die Unendlichkeit akzeptiert, und diese Konsequenzen sind vielseitig und überraschend. Der Leser benötigt nur wenig über die...

NUMBERS AND GEOMETRY is a beautiful and relatively elementary account of a part of mathematics where three main fields--algebra, analysis and geometry--meet. The aim of this book is to give a broad view of these subjects at the level of...

Yearning for the Impossible von Stillwell, John

Algebra is abstract mathematics - let us make no bones about it - yet it is also applied mathematics in its best and purest form. It is not abstraction for its own sake, but abstraction for the sake of efficiency, power and insight....

In this new textbook, acclaimed author John Stillwell presents a lucid introduction to Lie theory suitable for junior and senior level undergraduates. In order to achieve this, he focuses on the so-called "classical groups'' that capture...

This book provides a comprehensive introduction to the role of infinity in mathematics, from ancient to modern times. It is aimed at a general audience and introduces most of the required techniques from scratch. While the mathematical...

This book presents reverse mathematics to a general mathematical audience for the first time. Reverse mathematics is a new field that answers some old questions. In the two thousand years that mathematicians have been deriving theorems...

This book presents reverse mathematics to a general mathematical audience for the first time. Reverse mathematics is a new field that answers some old questions. In the two thousand years that mathematicians have been deriving theorems...

Elements of Mathematics takes readers on a fascinating tour that begins in elementary mathematics¿but, as John Stillwell shows, this subject is not as elementary or straightforward as one might think. Not all topics that are part of...

Algebra is abstract mathematics - let us make no bones about it - yet it is also applied mathematics in its best and purest form. It is not abstraction for its own sake, but abstraction for the sake of efficiency, power and insight....

Many people think there is only one ¿right¿ way to teach geometry. For two millennia, the ¿right¿ way was Euclid¿s way, and it is still good in many respects. But in the 1950s the cry ¿Down with triangles!¿ was heard in France and new...