If you haven’t done so already, you may want to start by reading the Preface to Knowledge Engineering & Emerging Technologies.
January 31st, 2024 (4th ed)1
The aim of this article is to encourage you to take an end-to-end perspective in your designs, seeking to minimize the overall complexity of your system, of the [Read More…]
2nd ed. Jan 2024 (with standalone chapters), 1st. ed. 2005
Overview
In the intersection between Mathematics, Modern Statistics, Machine Learning & Data Science, Electrical Engineering & Sensors, Computer Science, and Software Engineering, is a rapidly accelerating area of activity concerned with the real-time acquisition of rich data, its near real-time analysis and interpretation, [Read More…]
Revised & Expanded May 2023. First published November 1998.
This article provides a selection of quotes, written mostly by mathematicians, that convey especially clearly essential aspects of mathematics and its culture. Comments are collected in the endnotes.
Contents 1. The Essence of Mathematics 2. The ‘Why’ of Mathematics 3. The ‘How’ of Mathematics 4. Tension [Read More…]
3rd ed. Aug 2023 (expanded appendices). 2nd ed. Nov 2019 (revised to include advances in linguistics, genomics, interpretive theory, and Mesopotamian mathematics); 1st ed. (Dec 29, 2009)
Part 1 in Ancient Mathematics series. (Part 2: The Mathematics of Uruk and Susa 3500-3000 BCE, Part 3: Exploring Cuneiform Culture 8500-2500 BCE)
Abstract How far back [Read More…]
Livia All Alone
By Jasmine Sheherazade Ebrahim, from the Livia Series
“Ow!” Livia moaned. “You stood on my foot!”
“Budge up!” Roxanne hollered. “That’s my guitar you’re poking at!”
“Hey, hey, hey! Roxy, you’re not bringing your guitar, are you?” Their mother, Mrs Bell, said wearily. Roxanne glared at her mother.
“That’s mine!” Brittany shrieked. [Read More…]
Livia’s Life – Season 2 by Jasmine Sheherazade Ebrahim, from the Livia Series
Chapter One
Livia was sitting restlessly on the picnic-blanket, complaining every five seconds.
“Mum, please,” she moans. “I’m so bored.”
“Livia, stop it.” Her mother snaps. Livia sinks further into the blanket.
“Let’s just enjoy some fresh air, eh?” [Read More…]
Livia’s Life – Season 1 by Jasmine Sheherazade Ebrahim, In the Livia Series
Chapter One
“Faster! Higher!” Livia grinned as Lavender patiently pushed the swing. Livia’s legs swung uncontrollably as the swing rapidly got higher. Lavender was getting worried.
“Liv, it’s getting too fast,” she bit her lip, letting go [Read More…]
Livia’s Christmas, by Jasmine Sheherazade Ebrahim, Story in the Livia Series
Livia Bell, Maya (Mum), Sam (Dad), Brittany Bell, Roxanne Bell, Alexa Bell, Catherine Bell, Rosalind Bell, Lavender Bell, Luka Bell, Yasmina Amira (Luka’s wife), Zain Bell, Fiona Challis (Zain’s girlfriend), Kitty Mall (Family friend), Grandpa Joe (Sam’s dad), Granny (Sam’s mum), Grandad (Maya’s dad), [Read More…]
4th ed. Jan 2024; 3rd ed. May 2023; 2nd ed. Dec 2009; 1st ed. Sep 2004
“It is not philosophy but active experience in mathematics itself that alone can answer the question: `What is Mathematics?’” – Richard Courant & Herbert Robbins, 1941, What is Mathematics?, Oxford University Press)
“An adequate presentation of any science [Read More…]
2nd ed. June 2023; 1st ed. April 2010
The term “mathematical maturity” is sometimes used as short-hand to refer to a blend of elements that distinguish students likely to be successful in mathematics. It is a mixture of mathematical interest, curiousity, creativity, persistence, adventurousness, intuition, confidence, and useful knowledge.[1],[2],[3]
With advances in machine [Read More…]
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