**Author**: David Darling

**Publisher:**Chartwell Books

**ISBN:**9780785822974

**Category :**Reference

**Languages :**en

**Pages :**386

**Book Description**

This A to Z resource provides endless exploration into the world of numbers.

Read All eBOOK in PDF, ePUB, Mobi and Kindle

This A to Z resource provides endless exploration into the world of numbers.

This A to Z resource provides endless exploration into the world of numbers.

This book covers 250 milestones in mathematical history, beginning millions of years ago with ancient "ant odometers" and moving through time to our modern-day quest for new dimensions.

This is a clarification of and development upon my previous work. It includes "Concerning the weakest coherent formalization of methodological skepticism as a Bayesian updater" and "On the finitst Wolfram physics model", then there is an outline of finite content theory and mathematical notes in various areas. Digital phenomenology itself is the study of a finitist (and therefore discrete) phenomenalism.

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.”

Maths is everywhere, in everything. It’s in the finest margins of modern sport. It’s in the electrical pulses of our hearts and the flight of every bird. It is our key to secret messages, lost languages and perhaps even the shape of the universe of itself. David Darling and Agnijo Banerjee reveal the mathematics at the farthest reaches of our world – from its role in the plots of novels to how animals employ numerical skills to survive. Along the way they explore what makes a genius, why a seemingly simple problem can confound the best and brightest for decades, and what might be the great discovery of the twenty-first century. As Bertrand Russell once said, ‘mathematics, rightly viewed, possesses not only truth, but supreme beauty’. Banerjee and Darling make sure we see it right again.

Are you bored or unchallenged by drill-and-kill geometry questions in your textbooks and workbooks? Are you half-prepared for your coming math contests and competitions? Some benefits of Geometrical Quickies & Trickies are: * Over 200 non-routine geometry questions to separate the nerd of mathletes from the herd of drill-and-kill specialists; * Trick and tricky questions to meet the mathematical needs and wants of students- and teachers-problem solvers; * Twenty enrichment geometry units to promote an appreciation for recreational mathematics; * Hints and solutions, and a reference list for more practice on quickies and tricks. Geometrical Quickies & Trickies is suitable for grades 6-9 problem solvers and mathletes, and for teachers and tutors who desire to challenge (or torture) their students mathematically. Contents 1. What is a Circle? 2. Three Famous (or Notorious) Geometrical Problems 3. Non-Euclidean Geometry for Goondus 4. How Many Regions? 5. That Holy Little Geometry Book 6. Fun with Areas and Perimeters 7. Always a Parallelogram! 8. The Malfatti's Problem 9. The Beauty of Pi 10. The Zero Option 11. The Golden Ratio by Paper Folding 12. The Ubiquity of Phi 13. Matchstick Mathematics 14. The Rolling Circle Question 15. Two Useful Circle Properties 16. Proving the Obvious 17. Sanguku—Japanese Temple Geometry 18. Applications of Pythagorean Theorem 19. Visualizing Infinity 20. Geometrical Idiosyncrasies Answers/Hints/Solutions Bibliography & References

A teenage genius and his teacher take readers on a wild ride to the extremes of mathematics Everyone has stared at the crumpled page of a math assignment and wondered, where on Earth will I ever use this? It turns out, Earth is precisely the place. As teen math prodigy Agnijo Banerjee and his teacher David Darling reveal, complex math surrounds us. If we think long enough about the universe, we're left not with material stuff, but a ghostly and beautiful set of equations. Packed with puzzles and paradoxes, mind-bending concepts, and surprising solutions, Weird Math leads us from a lyrical exploration of mathematics in our universe to profound questions about God, chance, and infinity. A magical introduction to the mysteries of math, it will entrance beginners and seasoned mathematicians alike.

This book looks at classic puzzles from the perspective of their structures and what they tell us about the brain. It uses the work on the neuroscience of mathematics from Dehaene, Butterworth, Lakoff, Núñez, and many others as a lens to understand the ways in which puzzles reflect imaginative processes blended with rational ones. The book is not about recreational or puzzle-based mathematics in and of itself but rather about what the classic puzzles tell us about the mathematical imagination and its impact on the discipline. It delves into the history of classic math puzzles, deconstructing their raison d’être and describing their psychological features, so that their nature can be fleshed out in order to help understand the mathematical mind. This volume is the first monographic treatment of the psychological nature of puzzles in mathematics. With its user-friendly technical level of discussion, it is of interest to both general readers and those who engage in the disciplines of mathematics, psychology, neuroscience, and/or anthropology. It is also ideal as a textbook source for courses in recreational mathematics, or as reference material in introductory college math courses.

An exploration of one of the most celebrated and well-known theorems in mathematics By any measure, the Pythagorean theorem is the most famous statement in all of mathematics. In this book, Eli Maor reveals the full story of this ubiquitous geometric theorem. Although attributed to Pythagoras, the theorem was known to the Babylonians more than a thousand years earlier. Pythagoras may have been the first to prove it, but his proof—if indeed he had one—is lost to us. The theorem itself, however, is central to almost every branch of science, pure or applied. Maor brings to life many of the characters that played a role in its history, providing a fascinating backdrop to perhaps our oldest enduring mathematical legacy.