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Mission Statement

Our purpose at Novelty Books is to provide enrichment supplemental materials, motivation, excitement in the area of high school mathematics, and other books of general interest that focus on personal development. This, it is hoped, will be achieved through our different publications, presentations, and seminars.

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One of a Kind Math Book Published

Why Mathematical Encounters?

Why is this book different?

Why should you buy Mathematical Encounters?

Here is why. I will give you a few examples.

Example 1

Using discrete mathematics to teach mathematical reasoning.

This is chapter 14, page 28 of Mathematical Encounters titled,

A Student's Logic Under Trial:Â

Verifying a summation strategy for the first n Fibonacci numbers

In this chapter, a student proposed a summation strategy for first n Fibonacci numbers.Â

Here, we will state what the problem is. Â We will also provide and take a critical look at the student's solution.

Next, we will also verify the correctness of u sub n+2 - 1 as the sum of first n Fibonacci numbers.

Finally, the author ended the discussion with a conclusion that tells whether the student is right or wrong.

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Objectives

At the end of the lesson, the students should be able to:

(a) realize why it is wrong to state (u sub 2n+1 - 1) + (u sub 2n)

as sum (S sub n) of first n Fibonacci numbers.

(b) validate u sub n+2 - 1 as sum of first n Fibonacci numbers.

Example 2

Trial Questions on Numbers of the Fibonacci Sequence

Prove that for any five consecutive Fibonacci numbers a, b, c, d, e

e , e-a = 2b + c.

Given that b^2 Â¬ ac = 0, and a^2Â¬ 3ac + c^2 + 1 = 0,

find an expression for b + c.

Prove that for any four consecutive Fibonacci numbers a, b, c, d, the square root of a^2 + 4bc is always a perfect square whose square root is equal to d.

Given that c^2 - 2ac + a^2 = ac -1, find c in terms of a.

If the equation, ax^2- bx - c = 0, if and only if a, b, c are

three consecutive Fibonacci numbers, prove that the sum of roots and product of roots of the above equation are b/a and c/a respectively.

(answers are provided)

and much much more!

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Example 3

1 = 1 = 1^2

1 + 3 = 1 + 3 = 4 =2^2

1 + 3 + 5 = 3 + 6 = 9 =3^2

1 + 3 + 5 + 7 = 6 + 10 = 16 = 4^2

1 + 3 + 5 + 7 + 9 = 10 + 15 = 25 = 5^2

1 + 3 + 5 + 7 + 9 + 11 = 15 + 21 = 36 = 6^2

1 + 3 + 5 + 7 + 9 + 11 + 13 = 21 + 28 = 49 = 7^2

1, 3, 5, 7, 9, 11, 13, 15 ...are all positive odd integers,

while

1, 3, 6, 10, 15, 21, 28 ... are all triangular numbers.

Do you believe that math can be fun?

Do you want to have fun learning or teaching math?

Do you want to read a math book that sounds like a novel?

If you answered yes to any of the above questions,

then this book is for you.

If you answered yes to at least one of Â these questions, you should buy Mathematical Encounters.

By the way, if you are a high school math teacher or a math educator, you will love this book. Â Again,Â here is why.

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Mathematical Encounters as a supplemental material

At times some people display the attitude that any school text not written in line with any traditional curriculum should not only be banned and dumped but thrown into the Atlantic.

Most of these materials fall into the category of supplemental materials or texts. The right supplemental materials in mathematics are analogous to novels and other reading materials in English or just any language be it Korean, Japanese, French, Finnish, German, Italian, Spanish or Portuguese etc.

Novels, the language of expression notwithstanding, build language skills in the areas of vocabulary, reading and comprehension, spelling, grammar, etc. Â Similarly, the right supplemental materials in mathematics build vocabulary, computational, language, logical and reasoning skills.

This book is for everybody. If you are interested in math,

read my book.

Buy now!Â Click here!