Main description: Komplexe Zahlen sind ein wichtiges Darstellungsmittel für zentrale Problemstellungen der Analysis und der Geometrie. Sie erweisen sich als elegantes Mittel zum Lösen von Gleichungen in der Mathematik, aber auch zum Mathematisieren von Problemen etwa aus Physik …
Which Numbers are Real? surveys alternative real number systems: systems that generalize and extend the real numbers while staying close to the properties that make the reals central to mathematics. These systems include, for example, multi-dimensional numbers (the complex numbe…
The set of real numbers is one of the fundamental concepts of mathematics. This book surveys alternative number systems: systems that generalise the real numbers yet stay close to the properties that make the reals central to mathematics. There are many alternative number system…
Containing a large and varied set of problems, this rich resource will allow students to stretch their mathematical abilities beyond the school syllabus, and bridge the gap to university-level mathematics. Many proofs are provided to better equip students for the transition to u…
As a student moves from basic calculus courses into upper-division courses in linear and abstract algebra, real and complex analysis, number theory, topology, and so on, a "bridge" course can help ensure a smooth transition. This is a textbook intended for such a course, or for …
