2013 (2)

The above title is meaningless if we do not know the essence of the relationship between space-time and continuum problem. As I explicated earlier1: one of three different mutually exclusive description of continuum hypothesizes can be modeled by one of the two-element numbers. _________________________________ 1 The problems of physics and the dilemma of CH in mathematics  ,Time, Space and Infinity  ,On the mathematics of the quantum theory I.  ,On the mathematics of the quantum theory II.  ,Reflections on the foundations of set theory  
Sunday, 31 July 2016 15:19

Preview of a book 2

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In my earlier item1 the author of mentioned book2 wrote about the predecessor of his book: David Hestenes & Garret Sobczyk, Clifford Algebra to Geometric Calculus – A Unified Language for Mathematics and Physics3 . This book was first published in 1984, but I have only now noticed it and purchased its newer edition reprinted in 1987. These two books should be assessed only with together, so I will write about them later. The content of last-named book is as follows: Table of Contents Preface viiIntroduction xiSymbols and Notation xv Chapter1 / Geometric Algebra 1 1-1. Axioms, Definitions and Identities 31-2. Vector Spaces, Pseudoscalars and Projections 161-3. Frames and Matrices 271-4. Alternating Forms and Determinants 331-5. Geometric Algebras of PseudoEuclidean Spaces 41 Chapter2 /…