Algebraic General Topology – A Game Changing Mathematical Theory
This new research field generalizes new theorems as well as former analysis by collapsing several theorems of analysis into one AGT equation:
The Shortcomings of Topological Theory: The Reasons Why Generalized Algebraic Point-Set Topology Is Superior
I feel that when the various fields of intellectual endeavor become obsessed with upholding tradition, they stifle room for original thought. The assumption that existing knowledge is complete and only linear, logical processes are worthy of examination, eliminates discourse buries novel, equally as valid ideas into obscurity. This absence of self-reflection is holding back new […]
Infinitesimal Calculus on the Reverse in my Book “Limit of a Discontinuous Function”
Traditional calculus as first considered in 17th century by Isaac Newton (and Leibniz, however some say Leibniz stole the Newton’s idea) and then 150 years later formalized (formulated correctly) by Cauchy and Weierstrass, uses limits. Initially calculus was called “infinitesimal calculus”, but in recent time the collocation “infinitesimal calculus” is usually used for a more […]
Some Conjectures About Generalized Limits
Continuing my research from general topology monograph Algebraic General Topology, the following new open problems arose: I remind that I define generalized limit of arbitrary function. This limit is defined in terms of funcoids. As I show in the Book 3, Algebra, generalized limit is defined for generalized spaces, for example for reloids. So, how […]
Book “Axiomatic Theory of Formulas: Algebraic Theory of Formulas”
“Axiomatic Theory of Formulas: Algebraic Theory of Formulas”: Paperback E-book Homepage Mathematicians studied everything except formulas 🙂 Now there is an abstract axiomatic system for formulas, too. Read my book. For mathematicians, programmers, and students.
Every Pointfree Funcoid on a Semilattice is an Algebraic Structure
Continuing this blog post: The set of all pointfree funcoids on upper semilattices with least elements is exactly a certain algebraic structure defined by propositional formulas. Really just add the identities defining a pointfree funcoid to the identities of an upper semilattice with least element. I will list the exact list of identities defining a […]
Funcoid is a “Structure” in the Sense of Math Logic
A few seconds ago I realized that certain cases of pointfree funcoids can be described as a structure in the sense of mathematical logic, that is as a finite set of operations and relational symbols. Precisely, if a pointfree funcoid $latex f$ is defined on a lattice (or semilattice) with a least element $latex \bot$, […]
How to Publish a Math/Science Article or Book at Amazon for Free. No need for Scientific Journals Anymore!
In recent days I published three scientific books on Amazon Kindle Direct Publishing Program. My books contain complex formulas and yet I succeeded after much trying to find a way to publish them both as paperback and as e-books, yes with formulas. I want you to know how to do it, too. The Statistics or […]
A Book for Mathematicians and Programmers – Axiomatic Theory of Formulas
A new book for mathematicians and programmers published: Axiomatic Theory of Formulas or Algebraic Theory of Formulas. The book is an undergraduate level but contains a new theory. Get it: PAPERBACK E-BOOK From the preface: This new mathematical theory developed by the book author researches the properties of mathematical formulas (aka expressions). Naturally this theory […]
Algebraic General Topology, a New Branch of Mathematics (Book) and How It Is Related With Limit of Discontinuous Function
Algebraic General Topology (a book series for both postdoctorals and college students) is a new branch of mathematics that replaces General Topology. Yes, general topology is now legacy! We have something better than topological spaces, funcoids. You almost spent time in vain studying topological spaces: In not so far future colleges will teach funcoids courses […]