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__Homepage____Homepage__

__Concepts in Mathematics__

__By
David Alderoty © 2015__

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__This is an e-book, with over 20,280 words,__

__on 196 pages, and it is comprised of 8 chapters. __

__Below this yellow section there are__

__hyperlinks to access the 8 chapters.__

__To contact the author____,
use:__

__This
e-book has multiple objectives____, one of which is to
demonstrate various techniques of explaining and writing about, mathematics.
This is seen throughout all eight chapters.__ One
of the most interesting techniques is presented in chapter 8. This involves demonstrating,
and explaining, a complex mathematical concept, with an online calculation
device, which I designed for the purpose. The idea here is even if the reader
does

**The
other objectives of this e-book can be seen with the following summary of the
table of contents:**

**CHAPTER
1: **__Strategies for Studying and Learning
Mathematics, and Internet Resources For Mastering Mathematics____.__ This
chapter provides useful strategies, and Internet-based resources for learning
mathematics.

**CHAPTER
2: **__What is Mathematics, is it a Science, and
What are its Fundamental Components__ The goal here is to
eliminate misconceptions about mathematics.__ __

**CHAPTER
3: **__The Geometry of Nature, Real____‑____World Entities, and Fractals.__ The
goal here is to eliminate misconceptions about the geometry of nature, and to
introduce the concept of fractals. The fractals are presented in colorful
graphics, along with explanations about their utility, and limitations.

**CHAPTER
4: **__Mathematical Sets, and Related Concepts__ In
this chapter, I explained several concepts that relate to sets, and show how these
concepts can be used in general problem-solving.

**CHAPTER
5: **__Natural, Rational, Irrational, Imaginary,
Prime, And Complex Numbers, And Extending the Fundamental Theorem of Arithmetic____ __ The
primary goal with this chapter, is to explain basic concepts of numbers, and to
show how the fundamental theorem of arithmetic can be extended to all of the
number sets mentioned above.

**CHAPTER
6: **__Algebra, Definitions, Axioms, And Solving
Equations__ In this chapter, I explain basic concepts of algebra,
in a step-by-step way. This chapter also illustrates how mathematical concepts
can be explained with a conventional paragraph structure.

**CHAPTER
7: **__Illustrating and Writing Mathematics with
Microsoft Word, with the Mathematics Add____‑____In__ The primary purpose of this chapter, is to
explain and demonstrate a very efficient way of writing about mathematics. This
involves writing about math problems, and solving them directly in a
conventional Microsoft Word document.

**CHAPTER
8: **__Illustrating and Writing Mathematics with
Microsoft Excel, SpreadsheetConverter, and Mathcad__ In this chapter, I discuss the utility of the above
software, for demonstrating and explaining mathematics. This chapter also explains
interesting mathematical concepts that relate to the date and time
functionality of Microsoft Excel.

** **

__Left
click on one of the following __

__links,
or scroll down to the list of hyperlinks__

__to
access the eighth chapters of this e-book.__

**Printing,
and Additional Formats and Layout of this E‑Book**

**How
Words and Pages Were Counted in this E‑Book**

** **

__Below there are hyperlinks to the 8 chapters of this e-book:__

** **

** **

** **

__Hyperlinks
to Access the 7 Chapters of this E-Book__

** **

__Chapter 1)____ ____ ____HTML
version:__** Strategies
for Studying and Learning Mathematics, and Internet Resources For Mastering Mathematics**__, __*Left click on these words for the PDF version**,*__ Over
2540 Words on 19 Pages__

__Chapter 2)____ HTML
version:__

__Chapter 3)____
HTML version: The Geometry of Nature, Real‑World Entities, and
Fractals, __*Left click on these words for the PDF version*__, ____Over
3,200 words____, on 34 Pages__

__Chapter 4)____
HTML version: Mathematical Sets, and Related
Concepts, __*Left click on these words for the PDF version*__, 3,650
words, on 25 Pages__

__Chapter 5)____
HTML version: Natural, Rational, Irrational,
Imaginary, Prime, And Complex Numbers, And Extending the
Fundamental Theorem of Arithmetic, __*Left click on these words for the PDF version*__, Over over
2,650 words words, on 26 Pages__

__Chapter 6)____ HTML
version:__

__Chapter 7)____ HTML
version: __**Illustrating
and Writing Mathematics with Microsoft Word, with the Mathematics Add****‑****In**__, __*Left click on these words for the PDF version*__,____ Over
950 Words, on 19 Pages__

__Chapter 8)____
HTML version: __**Illustrating and Writing
Mathematics with Microsoft Excel, SpreadsheetConverter, and Mathcad**__, __*Left click on these words for the PDF version*__, ____Over
2,600 Words____, on 20 Pages__

** **

__Printing,
and Additional Formats and Layout of this E Book__

** **

This e-book contains 8 chapters, which are essentially separate websites that are accessible from links on this webpage. Each chapter has its own table of contents, and the information is presented in a series of sections and subsections, which contain topics and subtopics.

The chapters in this
e-book are also available in Microsoft Word, and the PDF format,
with the hyperlinks presented below. The HTML versions, and the format labeled
index.docx, are **not** **printer** friendly. The other formats can be
printed without difficulty. See the following links.

__Chapter 1)____ Strategies for Studying and Learning Mathematics,__

__And Internet Resources For Mastering Mathematics__

www.TechForText.com/Ma/Chapter-1

www.TechForText.com/Ma/Chapter-1/PDF.pdf

www.TechForText.com/Ma/Chapter-1/Word.docx

www.TechForText.com/Ma/Chapter-1/index.docx

** **

__Chapter 2)____ What is Mathematics, is it a Science,__

__And What are its Fundamental Components__

www.TechForText.com/Ma/Chapter-2

www.TechForText.com/Ma/Chapter-2/PDF.pdf

www.TechForText.com/Ma/Chapter-2/Word.docx

www.TechForText.com/Ma/Chapter-2/index.docx

__Chapter 3) The Geometry of Nature, Real____‑____World Entities,
and Fractals__

www.TechForText.com/Ma/Chapter-3

www.TechForText.com/Ma/Chapter-3/PDF.pdf

www.TechForText.com/Ma/Chapter-3/Word.docx

www.TechForText.com/Ma/Chapter-3/index.docx

__Chapter 4) Mathematical Sets, and Related
Concepts__

www.TechForText.com/Ma/Chapter-4

www.TechForText.com/Ma/Chapter-4/PDF.pdf

www.TechForText.com/Ma/Chapter-4/Word.docx

www.TechForText.com/Ma/Chapter-4/index.docx

__Chapter 5) Natural, Rational, Irrational, Imaginary,__

__Prime, And Complex Numbers, And Extending__

__the Fundamental Theorem of Arithmetic__

www.TechForText.com/Ma/Chapter-5

www.TechForText.com/Ma/Chapter-5/PDF.pdf

www.TechForText.com/Ma/Chapter-5/Word.docx

www.TechForText.com/Ma/Chapter-5/index.docx

__Chapter 6) Algebra, Definitions, Axioms, And
Solving Equations__

www.TechForText.com/Ma/Chapter-6

www.TechForText.com/Ma/Chapter-6/PDF.pdf

www.TechForText.com/Ma/Chapter-6/Word.docx

www.TechForText.com/Ma/Chapter-6/index.docx

__Chapter 7) Illustrating and Writing
Mathematics with__

__Microsoft Word, with the Mathematics Add____‑____In__

www.TechForText.com/Ma/Chapter-7

www.TechForText.com/Ma/Chapter-7/PDF.pdf

www.TechForText.com/Ma/Chapter-7/Word.docx

www.TechForText.com/Ma/Chapter-7/index.docx

__Chapter 8) Illustrating and Writing Mathematics with__

__Microsoft Excel, SpreadsheetConverter, and Mathcad__

www.TechForText.com/Ma/Chapter-8

www.TechForText.com/Ma/Chapter-8/PDF.pdf

www.TechForText.com/Ma/Chapter-8/Word.docx

www.TechForText.com/Ma/Chapter-8/index.docx

__How
Words and Pages Were Counted in this E‑Book__

This e-book contains over **20,280 words, on 196 pages**.
The words comprising the table of contents, and phrases that are repeated in
more than one chapter were **not** counted. The page count is based on the
PDF version, because the HTML version does **not** involve a page format.
The word count for each chapter was carried out with Microsoft Word, and then
totaled with an Excel worksheet as shown below:

**TOTAL**