Free Ebook Pre-Algebra New Math Done Right Geometry of Addition Introduction, by Mark Tenney
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Pre-Algebra New Math Done Right Geometry of Addition Introduction, by Mark Tenney
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Note this book is currently only 6 pages. The break up of the book resulted in the introduction being very short. I will try to add to this part later. Bug me if I don't. Other parts are longer, see the explanation below.
Pre-Algebra New Math Done Right Geometry of Addition
This is a continuation from:
Pre-Algebra New Math Done Right Peano Axioms
This is the Introduction to the Geometry of Addition set. This is part one of Geometry of Addition.
This book is on the geometry of Peano Axiom addition. This book contains a new definition of addition in the Peano Axiom framework. This is called pitch line addition. Let x' = x+1 and 'y = y-1. The new definition is
x+0 = x
x' + 'y = x+y
Lines of constant x+y are defined prior to defining addition. These are called pitch lines. Their properties are proven. This is new material to math.
The book contains no pdf, jpeg, or pngs. It is pure html.
Entire book is approximately 240 pages of material when formatted as a pdf. The entire book contains a total of 270 exercises, 119 lemmas, 30 note fields, 6 web url note fields, 161 examples, and 54 definitions. This is a total of 640 fields. This is in addition to the text. It is organized into 33 chapters. Fields and chapters are renumbered within each part of the overall work.
The first volume Peano Axioms has 178 Examples, 463 Exercises, 98 definitions, 45 Lemmas with proofs, references to over 96 web pages, 58 chapters, and is 391 pages when formatted as pdf with Latex. 178 examples + 463 exercises + 98 definitions + 45 lemmas + 96 webpages equals 880. Added to the 640 fields above is 1520 fields. This is in addition to the text not in such fields.
Total examples is 178 + 161 = 339 examples. 463 + 270 = 733 Exercises. 54 + 98 = 152 definitions. 119+45 = 164 lemmas. 96+6 = 102 web page references. 58+33 = 91 chapters. 391 + 240 = 631 pages.
There are no quadratic or higher algebra formulas. Students complain about complicated algebra in learning how to do proofs by mathematical induction. This material is thus the ideal for learning mathematical induction proofs.
These totals compare to treatments of 20 pages on university web pages on the Peano Axioms and Peano Addition. Some may contain more, but usually these go beyond just the Peano Axioms and Peano Addition. Those mostly are repeats of each other. Those tend to be theoretical and without starter examples and starter exercises. They also tend to duplicate each other. Thus in terms of distinct and unique material on the Peano Axioms and Peano Addition, the bulk of it is apparently contained in these materials.
The book is divided into ten parts. These are not of equal length. The pricing approximately reflects the length of each part. So short parts are priced at the minimum allowed. Overall the sum of the prices of the parts is fair for the sum of the lengths.
Ten parts of book
Geometry of Addition Introduction
Addition bead shift definition
Pitch line drills
Addition geometry fundamentals
Lattice square induction
Pitch line lemmas
Y-intercept function
Pitch Line induction
Addition Commutative
Addition Associative
- Sales Rank: #3938915 in eBooks
- Published on: 2012-09-08
- Released on: 2012-09-08
- Format: Kindle eBook
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