Masters of Mathematics

The Problems They Solved, Why These Are Important, and What You Should Know about Them

Autor:in:
The original title for this work was “Mathematical Literacy, What Is It and Why You Need it”. The current title reflects that there can be no real learning in any subject, unless questions of who, what, when, where, why and how are raised in the minds of the learners. The book is not a mathematical text, and there are no assigned exercises or exams. It is written for reasonably intelligent and curious individuals, both those who value mathematics, aware of its many important applications and others who have been inappropriately exposed to mathematics, leading to indifference to the subject, fear and even loathing. These feelings are all consequences of meaningless presentations, drill, rote learning and being lost as the purpose of what is being studied.
Mathematics education needs a radical reform. There is more than one way to accomplish this. Here the author presents his approach of wrapping mathematical ideas in a story. To learn one first must develop an interest in a problem and the curiosity to find how masters of mathematics have solved them. What is necessary to be mathematically literate? It’s not about solving algebraic equations or even making a geometric proof. These are valuable skills but not evidence of literacy. We often seek answers but learning to ask pertinent questions is the road to mathematical literacy. Here is the good news: new mathematical ideas have a way of finding applications. This is known as “the unreasonable effectiveness of mathematics.”

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Preliminary Material
Seiten: i–xxiv
What Else Did Euler Do?
Seiten: 35–49
Doing the Impossible
Seiten: 97–114
The Reluctant Mathematician
Seiten: 127–141
Programmer
Seiten: 143–159
Rabbits & Patterns
Seiten: 161–177
A Short History of π
Seiten: 191–202
Measure by Measure (Length)
Seiten: 203–215
Large and Small
Seiten: 217–227
And, Yet It Moves
Seiten: 229–239
Logical Nonsense
Seiten: 263–288
Map Coloring
Seiten: 289–300
Pearl
Seiten: 301–319
A Sad Tale
Seiten: 321–332
Streaker
Seiten: 333–345
Puzzlers
Seiten: 347–361
Doubter
Seiten: 363–377
Prospero
Seiten: 379–392
Islamic Golden Age and Beyond
Seiten: 393–413
No Saint
Seiten: 415–427
Everything Has Causes
Seiten: 429–436
Paradox
Seiten: 465–480
Mathematical Adam
Seiten: 481–497
Gematria/Numerology
Seiten: 499–512
Computer Pioneer
Seiten: 513–525
Nurse
Seiten: 527–544
Magic Squares and Art
Seiten: 545–566
Logic and Diagrams
Seiten: 567–585
Master and Student
Seiten: 587–598
Proof
Seiten: 599–619
Educational Researchers and their students
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