Catalog Search Results
Publisher
The Great Courses
Pub. Date
2014.
Language
English
Description
Wrap up the course by looking at several fun and different ways of reimagining geometry. Explore the counterintuitive behaviors of shapes, angles, and lines in spherical geometry, hyperbolic geometry, finite geometry, and even taxi-cab geometry. See how the world of geometry is never a closed-book experience.
Publisher
The Great Courses
Pub. Date
2017.
Language
English
Description
TheFibonacci numbersfollow the simple pattern 1, 1, 2, 3, 5, 8, etc., in which each number is the sum of the two preceding numbers. Fibonacci numbers have many beautiful and unexpected properties, and show up in nature, art, and poetry.
Publisher
The Great Courses
Pub. Date
2014.
Language
English
Description
Using nothing more than an ordinary pencil, see how three angles in a triangle can add up to 180 degrees. Then compare how the experience of turning a pencil on a flat triangle differs from walking in a triangular shape on the surface of a sphere. With this exercise, Professor Tanton introduces you to the difference between flat and spherical geometry
Publisher
The Great Courses
Pub. Date
2016.
Language
English
Description
By repeatedly folding a sheet of paper using a simple pattern, you bring together many of the ideas from previous lectures. Finish the course with a challenge question that reinterprets the folding exercise as a problem in sharing jelly beans. But don't panic! This is a test that practically takes itself!
Publisher
The Great Courses
Pub. Date
2017.
Language
English
Description
Ready to exercise those brain cells? Humans have been having fun with mathematics for thousands of years. Along the way, they've discovered the amazing utility of this field—in science, engineering, finance, games of chance, and many other aspects of life. This course of 24 half-hour lectures celebrates the sheer joy of mathematics, taught by a mathematician who is literally a magician with numbers. Professor Arthur T. Benjamin of Harvey Mudd College...
Publisher
The Great Courses
Pub. Date
2014.
Language
English
Description
Examine how our usual definition of parallelism is impossible to check. Use the fundamental assumptions from the previous lectures to follow in Euclid’s footsteps and create an alternative way of checking if lines are parallel. See how, using this result, it’s possible to compute the circumference of the Earth just by using shadows!
Publisher
The Great Courses
Pub. Date
2016.
Language
English
Description
Probability problems can be confusing as you try to decide what to multiply and what to divide. But visual models come to the rescue, letting you solve a series of riddles involving coins, dice, medical tests, and the granddaddy of probability problems that was posed to French mathematician Blaise Pascal in the 17th century.
Publisher
The Great Courses
Pub. Date
2017.
Language
English
Description
A geometric arrangement of binomial coefficients calledPascal's triangleis a treasure trove of beautiful number patterns. It even provides an answer to the song "The Twelve Days of Christmas": Exactly how many gifts did my true love give to me?
Publisher
The Great Courses
Pub. Date
2016.
Language
English
Description
World-renowned math educator Dr. James Tanton shows you how to think visually in mathematics, solving problems in arithmetic, algebra, geometry, probability, and other fields with the help of imaginative graphics that he designed. Also featured are his fun do-it-yourself projects using poker chips, marbles, paper, and other props, designed to give you many eureka moments of mathematical insight.
Publisher
The Great Courses
Pub. Date
2020.
Language
English
Description
First, find a shortcut solution to a classic word problem in algebra. This introduces the episode's theme: forget your algebra and use cleverness to solve problems without x's and y's. Along the way, you'll learn that sometimes having too much information can make a problem harder. Also find out why transcontinental flights take longer in one direction than the other (not counting wind effects).
Publisher
The Great Courses
Pub. Date
2009.
Language
English
Description
Linear equations reflect the behavior of real-life phenomena. Practice evaluating tables of numbers to determine if they can be represented as linear equations. Conclude with an example about the yearly growth of a tree. Does it increase in size at a linear rate?
Publisher
The Great Courses
Pub. Date
2014.
Language
English
Description
Explore the beautiful and mysterious world of fractals. Learn what they are and how to create them. Examine famous examples such as Sierpinski’s Triangle and the Koch Snowflake. Then, uncover how fractals appear in nature—from the structure of sea sponges to the walls of our small intestines.
Publisher
The Great Courses
Pub. Date
2009.
Language
English
Description
For those cases that defy simple factoring, the quadratic formula provides a powerful technique for solving quadratic equations. Discover that this formidable-looking expression is not as difficult as it appears and is well worth committing to memory. Also learn how to determine if a quadratic equation has no solutions.
Publisher
The Great Courses
Pub. Date
2014.
Language
English
Description
The trig identities you explored in the last lecture go beyond circles. Learn how to define all of them just using triangles (expressed in the famous acronym SOHCAHTOA). Then, uncover how trigonometry is practically applied by architects and engineers to measure the heights of buildings.
Publisher
The Great Courses
Pub. Date
2016.
Language
English
Description
Learn how a rabbit-breeding question in the 13th century led to the celebrated Fibonacci numbers. Investigate the properties of this sequence by focusing on the single picture that explains it all. Then hear the world premiere of Professor Tanton's amazing Fibonacci theorem!
Publisher
The Great Courses
Pub. Date
2015.
Language
English
Description
Prove that some sets can't be measured - a result that is crucial to understanding the Banach-Tarski paradox, the strangest theorem in all of mathematics, which is presented in Lecture 23. Start by asking why mathematicians want to measure sets. Then learn how to construct a non-measurable set.
Publisher
The Great Courses
Pub. Date
2015.
Language
English
Description
Study the discovery that destroyed the dream of an axiomatic system that could prove all mathematical truths - Kurt Gödel's demonstration that mathematical consistency is a mirage and that the price for avoiding paradoxes is incompleteness. Outline Gödel's proof, seeing how it relates to the liar's paradox from Lecture 1.
Publisher
The Great Courses
Pub. Date
2009.
Language
English
Description
Quadratic functions often arise in real-world settings. Explore a number of problems, including calculating the maximum height of a rocket and determining how long an object dropped from a tree takes to reach the ground. Learn that in finding a solution, graphing can often help.
99) Dido's Problem
Publisher
The Great Courses
Pub. Date
2014.
Language
English
Description
If you have a fixed-length string, what shape can you create with that string to give you the biggest area? Uncover the answer to this question using the legendary story of Dido and the founding of the city of Carthage.
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