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As a mathematician, philosopher, logician, historian, socialist, pacifist, and social critic, Bertrand Russell is noted for his "revolt against idealism" in Britain in the early 20th century, as well as his pacifist activism during WWI, a campaign against Adolf Hitler and later the United States' involvement in the Vietnam War. In addition to his political activism, he is considered to be one of the founders of analytic philosophy, receiving the Nobel...
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English
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"In 2010, award-winning professor Steven wrote a series for the New York Times online called "The Elements of Math." It was hugely popular: Each piece climbed the most emailed list and elicited hundreds of comments. Readers begged for more, and has now delivered. In this fun, fast-paced book, he offers us all a second chance at math. Each short chapter of The Joy of X provides an "Aha!" moment, starting with why numbers are helpful, and moving on...
Author
Language
English
Description
The irresistibly engaging book that "enlarges one's wonder at Tammet's mind and his all-embracing vision of the world as grounded in numbers" (Oliver Sacks, MD).
Thinking in Numbers is the book that Daniel Tammet, mathematical savant and bestselling author, was born to write. In Tammet's world, numbers are beautiful and mathematics illuminates our lives and minds. Using anecdotes, everyday examples, and ruminations on history, literature,...
Thinking in Numbers is the book that Daniel Tammet, mathematical savant and bestselling author, was born to write. In Tammet's world, numbers are beautiful and mathematics illuminates our lives and minds. Using anecdotes, everyday examples, and ruminations on history, literature,...
Author
Language
English
Description
What is math? How exactly does it work? And what do three siblings trying to share a cake have to do with it? In How to Bake Pi, math professor Eugenia Cheng provides an accessible introduction to the logic and beauty of mathematics, powered, unexpectedly, by insights from the kitchen: we learn, for example, how the béchamel in a lasagna can be a lot like the number 5, and why making a good custard proves that math is easy but life is hard. Of course,...
Author
Series
Great Courses volume 9
Language
English
Description
Logic is intellectual self-defense against such assaults on reason and also a method of quality control for checking the validity of your own views. But beyond these very practical benefits, informal logic—the kind we apply in daily life—is the gateway to an elegant and fascinating branch of philosophy known as formal logic, which is philosophy’s equivalent to calculus. Formal logic is a breathtakingly versatile tool. Much like a Swiss army...
Author
Language
English
Description
Mathematics is a fundamental part of life, yet every one of us has a unique relationship with learning and understanding the subject. Working with numbers may inspire confidence in our abilities or provoke anxiety and trepidation. Stanford researcher, mathematics education professor, and the leading expert on math learning Dr. Jo Boaler argues that our differences are the key to unlocking our greatest mathematics potential. In Math-ish, Boaler shares...
Publisher
The Great Courses
Language
English
Description
We commonly define the Pythagorean theorem using the formula a2 + b2 = c2. But Pythagoras himself would have been confused by that. Explore how this famous theorem can be explained using common geometric shapes (no fancy algebra required), and how it’s a critical foundation for the rest of geometry.
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English
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Why do your chances of winning the lottery increase if you buy your ticket on Friday? Why do traffic lights always seem to be red when you're in a hurry? Is bad luck just chance, or can it be explained?
The intriguing answers to these and other questions about the curiosities of everyday life can be found in this delightfully irreverent and highly informative book. Why Do Buses Come in Threes? explains how math and the laws of probability are constantly...
Author
Language
English
Formats
Description
Practical, scientific, philosophical, and artistic problems have caused men to investigate mathematics. But there is one other motive which is as strong as any of these-the search for beauty. Mathematics is an art, and as such affords the pleasures which all the arts afford." In this erudite, entertaining college-level text, Morris Kline, Professor Emeritus of Mathematics at New York University, provides the liberal arts student with a detailed treatment...
Publisher
The Great Courses
Pub. Date
2009.
Language
English
Description
Advance to the next level of problem solving by using variables as the building blocks to create algebraic expressions, which are combinations of mathematical symbols that might include numbers, variables, and operation symbols. Also learn some tricks for translating the language of problems (phrases in English) into the language of math (algebraic expressions).
Publisher
The Great Courses
Pub. Date
2017.
Language
English
Description
Geometry is based on a handful of definitions and axioms involving points, lines, and angles. These lead to important conclusions about the properties ofpolygons. This lecture uses geometric reasoning to derive the Pythagorean theorem and other interesting results.
Publisher
The Great Courses
Pub. Date
2017.
Language
English
Description
Arguably the most important area of mathematics, algebra introduces the powerful idea of using an abstract variable to represent an unknown quantity. This lecture demonstrates algebra's golden rule: Do unto one side of an equation as you do unto the other.
Publisher
The Great Courses
Pub. Date
2014.
Language
English
Description
In lecture 6, you saw how 17th-century mathematician Rene Descartes united geometry and algebra with the invention of the coordinate plane. Now go a step further and explore the power and surprises that come from using the complex number plane. Examine how using complex numbers can help solve several tricky geometry problems.
Publisher
The Great Courses
Pub. Date
2009.
Language
English
Description
Investigating more real-world applications of linear equations, derive the formula for converting degrees Celsius to Fahrenheit; determine the boiling point of water in Denver, Colorado; and calculate the speed of a rising balloon and the time for an elevator to descend to the ground floor.
Publisher
The Great Courses
Pub. Date
2017.
Language
English
Description
Turn to an entirely different approach for doing statistical inference: Bayesian statistics, which assumes a known prior probability and updates the probability based on the accumulation of additional data. Unlike the frequentist approach, the Bayesian method does not depend on an infinite number of hypothetical repetitions. Explore the flexibility of Bayesian analysis.
Publisher
The Great Courses
Pub. Date
2017.
Language
English
Description
Spatial analysis is a set of statistical tools used to find additional order and patterns in spatial phenomena. Drawing on libraries for spatial analysis in R, use a type of graph called a semivariogram to plot the spatial autocorrelation of the measured sample points. Try your hand at data sets involving the geographic incidence of various medical conditions.
Publisher
The Great Courses
Pub. Date
2014.
Language
English
Description
Lay the basic building blocks of geometry by examining what we mean by the terms point, line, angle, plane, straight, and flat. Then learn the postulates or axioms for how those building blocks interact. Finally, work through your first proof—the vertical angle theorem.
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