Böcker av Jesse Sakari Hyttinen

Tree successor algebra: A new branch in mathematics is a book about a formal theory of tree generation with an axiomatic basis for a new object called collection space. The elements of this space, in other words collections, have a clear connection to rooted trees and are treated as variables in sum form equations, the application area of tree successor algebra. With connections to different branches of mathematics such as number theory, linear algebra and algebra, tree successor algebra shows a fundamental link between rooted tree generation and partition generation, establishing a well-defined order in which rooted trees are generated. This in turn makes it possible to define a successor operator, the unit of least action in tree generation, and generalize it in order to create a concept of tree sequences. Due to this, the concept of the infinite sequence of all rooted trees can be formed, and the notion of a rooted tree line, and thus the need for tools to solve sum form equations rises. The axiomatic system answers to this need.

I believe in inspiring and connecting people with mathematics. It is an international language, after all. By building a community around treespeak - a mathematical language that is about the subtle cooperation between vertex edge algebra and the tree generation algorithm - I could show people that mathematics is truly a form of art and a fun, competitive game as well.One theorem - the theorem of sum forms - started it all: the research project that culminated into treespeak, and various other ideas that are also in this book. If you love mathematics, would like to be a part of the treespeak community, are otherwise interested in mathematical trees and beautiful symbolic representations, or would like to know something about pi, Euler's number, Collatz conjecture or possibly controversial mathematics, then this book is for you!