Catalog Search Results
A fun, interactive, and award-winning, online kindergarten-readiness learning solution for children ages 3 to 6 years. With hundreds of lessons in math, science, social studies, language and literacy, art, and music, the curriculum increases in difficulty as the user progresses through the program.
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.
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
Publisher
Basic Books
Language
English
Formats
Description
It is one of the wonders of mathematics that, for every problem mathematicians solve, another awaits to perplex and galvanize them. Some of these problems are new, while others have puzzled and bewitched thinkers across the ages. Such challenges offer a tantalizing glimpse of the field's unlimited potential, and keep mathematicians looking toward the horizons of intellectual possibility.
In Visions of Infinity, celebrated mathematician...
In Visions of Infinity, celebrated mathematician...
Publisher
The Great Courses
Pub. Date
2016.
Language
English
Description
Throw away the quadratic formula you learned in algebra class. Instead, use the power of symmetry to graph quadratic functions with surprising ease. Try a succession of increasingly scary-looking quadratic problems. Then see something totally magical not to be found in textbooks.
Publisher
The Great Courses
Pub. Date
2017.
Language
English
Description
Step into fully modeling the relationship between data with the most common technique for this purpose: linear regression. Using R and data on the growth of wheat under differing amounts of rainfall, test different models against criteria for determining their validity. Cover common pitfalls when fitting a linear model to data.
Publisher
The Great Courses
Pub. Date
2015.
Language
English
Description
Close the course by asking the big questions about puzzles and paradoxes: Why are we so obsessed with them? Why do we relish the mental dismay that comes from contemplating a paradox? Why do we expend so much effort trying to solve conundrums and riddles? Professor Kung shows that there's method to this madness!
Publisher
The Great Courses
Pub. Date
2009.
Language
English
Description
Professor Sellers introduces the general topics and themes for the course, describing his approach and recommending a strategy for making the best use of the lessons and supplementary workbook. Warm up with some simple problems that demonstrate signed numbers and operations.
Publisher
The Great Courses
Pub. Date
2016.
Language
English
Description
Word problems. Does that phrase strike fear into your heart? Relax with Professor Tanton's tips on cutting through the confusing details about groups and objects, particularly when ratios and proportions are involved. Your handy visual devices include blocks, paper strips, and poker chips.
Publisher
The Great Courses
Pub. Date
2017.
Language
English
Description
Geometry and trigonometry are used to determine the areas of simple figures such as triangles and circles. But how are more complex shapes measured? Calculus comes to the rescue with a technique calledintegration, which adds the simple areas of many tiny quantities.
Publisher
The Great Courses
Pub. Date
2014.
Language
English
Description
Define what it means for polygons to be "similar"or "congruent"by thinking about photocopies. Then use that to prove the third key assumption of geometry—the side-angle-side postulate—which lets you verify when triangles are similar. Thales of Ionia used this principle in 600 B.C.E. to impress the Egyptians by calculating the height of the pyramids.
Publisher
The Great Courses
Pub. Date
2017.
Language
English
Description
A number is prime if it is evenly divisible by only itself and one: for example, 2, 3, 5, 7, 11. Professor Benjamin proves that there are an infinite number of primes and shows how they are the building blocks of our number system.
Publisher
The Great Courses
Pub. Date
2009.
Language
English
Description
Begin to find solutions for quadratic equations, starting with the FOIL technique in reverse to find the binomial factors of a quadratic trinomial (a binomial expression consists of two terms, a trinomial of three). Professor Sellers explains the tricks of factoring such expressions, which is a process almost like solving a mystery.
Publisher
The Great Courses
Pub. Date
2009.
Language
English
Description
Continue your study of math fundamentals by exploring various procedures for converting between percents, decimals, and fractions. Professor Sellers notes that it helps to see these procedures as ways of presenting the same information in different forms.
Publisher
The Great Courses
Pub. Date
2016.
Language
English
Description
Never memorize an area formula again after you see these simple visual proofs for computing areas of rectangles, parallelograms, triangles, polygons in general, and circles. Then prove that for two polygons of the same area, you can dissect one into pieces that can be rearranged to form the other.
Publisher
The Great Courses
Pub. Date
2015.
Language
English
Description
Investigate the paradoxes of near-light-speed travel according to Einstein's special theory of relativity. Separated twins age at different rates, dimensions contract, and other weirdness unfolds. Then venture into the quantum realm to explore the curious nature of light and the true meaning of the Heisenberg uncertainty principle.
Publisher
The Great Courses
Pub. Date
2017.
Language
English
Description
Graphical data analysis was once cumbersome and time-consuming, but that has changed with programming tools such as R. Analyze the classic Iris Flower Data Set - the standard for testing statistical classification techniques. See if you can detect a pattern in sepal and petal dimensions for different species of irises by using scatterplots, histograms, box plots, and other graphical tools.
Publisher
The Great Courses
Pub. Date
2016.
Language
English
Description
Probe the computational miracle of place value--where a digit's position in a number determines its value. Use this powerful idea to create a dots-and-boxes machine capable of performing any arithmetical operation in any base system--including decimal, binary, ternary, and even fractional bases.
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.
20) Geometry
Publisher
The Great Courses
Pub. Date
2014.
Language
English
Description
Inscribed over the entrance of Plato’s Academy were the words, "Let no one ignorant of geometry enter my doors."To ancient scholars, geometry was the gateway to knowledge. Its core skills of logic and reasoning are essential to success in school, work, and many other aspects of life. Yet sometimes students, even if they have done well in other math courses, can find geometry a challenge. Now, in the 36 innovative lectures of Geometry: An Interactive...
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