Garret Sobczyk, New Foundations in Mathematics: The Geometric Concept of Number1 I am excited about looking forward to this book, which was ordered by me via Prospero Bookstore website. I look forward to the book because of my discovery of two-element numbers from which two types were analyzed in details by author of the book. I wonder how the author links the analytics of the numbers to the existing elements of the mathematics. I am curious about the 17th chapter mostly. The contents of the book are the following: Content Chapter 1 Modular Number Systems 1 Chapter 2 Complex and Hyperbolic Numbers 23Chapter 3 Geometric Algebra 43 Chapter 4 Vector Spaces and Matrices 67 Chapter 5 Outer Product and Determinants…

In the article titled „Comparison of two-element numbers”, the generalized norm of two-element numbers shows the topology of these numbers. The topology of two-element numbers is reflected better, if we generally interpret the so-called quadratic infinitesimal environments, i. e. micro-environments, in the following way: There exists a special number ε0 such that for all integer n it is true that ε0 < 1/n and ε0 is not equal to 0.1 Then the following three substantially different cases may arise: 1) The ε0 environments of the numbers are empty (except the given number), i. e. there is no actual existing infinitesimal number. This is the case of complex numbers. ____________________________________________ 1 ε0 may not be a real number, because of it…