Download e-book for kindle: New Topological Invariants for Real- and Angle-Valued by Dan Burghelea

Key Features:

• The idea provided here's new; it's the paintings of the writer and his collaborators and isn't to be had wherever else as a self-contained presentation
• All wanted arithmetic is satisfactorily summarized so the reader doesn't need to visit different books for the mathematical history utilized in this theory
• This concept is a refinement of “topological patience” which already had many functions in information research, so it is going to be no shock that this refinement might be both necessary in applications
• The researcher will locate during this e-book a cautious presentation of the theory
• The booklet can be utilized by way of graduate scholars in look for new themes of analysis in utilized topology, by way of mathematicians and scientists who wish to exploit rules of Morse–Novikov idea in purposes, through computational topologists who will locate new powerful easy methods to calculate vital homological invariants beforehand now not simply obtainable to computers