This work is an introduction to mathematical analysis at an elementary level. Emphasis is given to the construction of national and then real numbers, using the method of equivalence classes and of Cauchy sequences. The text includes the presentation of: sequences of real numbers, infinite numerical series, continuous functions, deriviatives...

In 1872 F. Klein proposed his Erlangen Programme in...

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University mathematics departments have for many years offered courses with titles such as Advanced Calculus or Introductory Real Analysis.The se courses are taken by a variety of students, serve a number of purposes, and are written at various levels of sophistication.T he students range from ones who have just completed a course in...

The field of multidimensional data structures is large and growing very quickly. Here, for the first time, is a thorough treatment of multidimensional point data, object and image-based representations, intervals and small rectangles, and high-dimensional datasets. The book includes a thorough introduction; a comprehensive survey to spatial...

Geometric algebra (GA) is a powerful new mathematical system for computational geometry. Although its origins can be traced back to Hermann Grassmann (1844), its development as a language for space–time geometry with applications to all of physics did not begin until 1966. Suddenly, in the year 2000 it was recognized that a specialized...

One study after the next shows that most employees are unhappy with their jobs and that less than a third actively engage with their work. That means that two out of every three are merely putting in their time, rather than maximizing productivity and attaining satisfaction. One could argue that such a malaise is the symptom of an unhealthy...

Responding to reader and instructor feedback, the expert author team updated and refreshed the book's content to make it even more useful, complete, and approachable. Mastering Revit Architecture is organized by real-world workflows and features detailed...