Tree successor algebra

A new branch in mathematics

Jesse Sakari Hyttinen (Autor)

Buch | Softcover

580 Seiten

2023
Books on Demand (Verlag)
978-952-339-578-7 (ISBN)

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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.

Mathematician, author and programmer, researcher in the branches of graph theory and algebraic tree theory. Has a lifelong goal of inspiring people with his ideas and sharing his knowledge with others.

Erscheinungsdatum	01.07.2023
Sprache	englisch
Maße	189 x 246 mm
Gewicht	1021 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
Themenwelt	Mathematik / Informatik ► Mathematik ► Graphentheorie
Schlagworte	Algebraic tree theory • graph theory • Number Theory • Rooted tree • tree generation
ISBN-10	952-339-578-5 / 9523395785
ISBN-13	978-952-339-578-7 / 9789523395787
Zustand	Neuware