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Concepts in Mathematics

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:

David@TechForText.com

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 not initially understand the mathematics; they can see how the concept functions in a computer program.  To achieve this, I display the formulas that comprise the software, and explain how they function.  See www.TechForText.com/Ma/C

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, RealWorld 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 AddIn 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

to access the eighth chapters of this e-book.

Below there are hyperlinks to the 8 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: What is Mathematics, is it a Science, and What are its Fundamental Components,  Left click on these words for the PDF version,  Over 2,190 words on 16 Pages

Chapter 3)Left click on these words for the PDF version,  Over 3,200 words, on 34 Pages

Chapter 4) HTML version: Mathematical Sets, and Related ConceptsLeft click on these words for the PDF version, 3,650 words, on 25 Pages

Chapter 5)Left click on these words for the PDF version,  Over over 2,650 words words, on 26 Pages

Chapter 6) HTML version: Algebra, Definitions, Axioms, And Solving Equations,  Left click on these words for the PDF version, over 2,500 words, on 37 Pages

Chapter 7) HTML version: Illustrating and Writing Mathematics with Microsoft Word, with the Mathematics AddIn,  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.

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, RealWorld 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

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

Microsoft Word, with the Mathematics AddIn

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

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