Catalog Search Results
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...
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.
Publisher
The Great Courses
Pub. Date
2017.
Physical Desc
1 online resource (streaming video file) (30 minutes): digital, .flv file, sound
Language
English
Description
Another indispensable number to learn ise= 2.71828 ... Defined as the base of the natural logarithm,eplays a central role in calculus, and it arises naturally in many spheres of mathematics, including calculations of compound interest.
Publisher
The Great Courses
Pub. Date
2014.
Physical Desc
1 online resource (streaming video file) (34 minutes): digital, .flv file, sound
Language
English
Description
Explore the origins of one of the oldest branches of mathematics. See how geometry not only deals with practical concerns such as mapping, navigation, architecture, and engineering, but also offers an intellectual journey in its own right—inviting big, deep questions.
Publisher
The Great Courses
Pub. Date
2015.
Physical Desc
1 online resource (streaming video file) (32 minutes): digital, .flv file, sound
Language
English
Description
Leap into puzzles and mind-benders that teach you the rudiments of game theory. Divide loot with bloodthirsty pirates, ponder the two-envelope problem, learn about Newcomb's paradox, visit the island where everyone has blue eyes, and try your luck at prisoner's dilemma.
Publisher
The Great Courses
Pub. Date
2014.
Physical Desc
1 online resource (streaming video file) (31 minutes): digital, .flv file, sound
Language
English
Description
Continue the work of classification with triangles. Find out what mathematicians mean when they use words like scalene, isosceles, equilateral, acute, right, and obtuse. Then, learn how to use the Pythagorean theorem to determine the type of triangle (even if you don’t know the measurements of the angles).
Publisher
The Great Courses
Pub. Date
2009.
Physical Desc
1 online resource (streaming video file) (32 minutes): digital, .flv file, sound
Language
English
Description
Discover that by following basic rules on how to treat coefficients and exponents, you can reduce very complicated algebraic expressions to much simpler ones. You start by using the commutative property of multiplication to rearrange the terms of an expression, making combining them relatively easy.
Publisher
The Great Courses
Pub. Date
2016.
Physical Desc
1 online resource (streaming video file) (30 minutes): digital, .flv file, sound
Language
English
Description
Drawing on the bizarre conclusions from the previous lecture, reach even more peculiar results by mapping all of the fractions (i.e., rational numbers) onto the number line, discovering that they take up no space at all! And this is just the start of the weirdness.
Publisher
The Great Courses
Pub. Date
2009.
Physical Desc
1 online resource (streaming video file) (31 minutes): digital, .flv file, sound
Language
English
Description
Apply what you've discovered about equations of lines to two very special types of lines: parallel and perpendicular. Learn how to tell if lines are parallel or perpendicular from their equations alone, without having to see the lines themselves. Also try your hand at word problems that feature both types of lines.
Publisher
The Great Courses
Pub. Date
2014.
Physical Desc
1 online resource (streaming video file) (32 minutes): digital, .flv file, sound
Language
English
Description
So far, you’ve seen how to calculate the sine, cosine, and tangents of basic angles (0°, 30°, 45°, 60°, and 90°). What about calculating them for other angles—without a calculator? You’ll use the Pythagorean theorem to come up with formulas for sums and differences of the trig identities, which then allow you to calculate them for other angles.
Publisher
The Great Courses
Pub. Date
2015.
Physical Desc
1 online resource (streaming video file) (32 minutes): digital, .flv file, sound
Language
English
Description
Learn how Georg Cantor tamed infinity and astonished the mathematical world by showing that some infinite sets are larger than others. Then use a matching game inspired by dodge ball to prove that the set of real numbers is infinitely larger than the set of natural numbers, which is also infinite.
Publisher
The Great Courses
Pub. Date
2015.
Physical Desc
1 online resource (streaming video file) (31 minutes): digital, .flv file, sound
Language
English
Description
Visit the land of topology, where one shape morphs into another by stretching, pushing, pulling, and deforming - no cutting allowed. Start simply, with figures such as the Möbius strip and torus. Then get truly strange with the Alexander horned sphere and Klein bottle. Study the minimum number of colors needed to distinguish their different regions.
Publisher
The Great Courses
Pub. Date
2014.
Physical Desc
1 online resource (streaming video file) (30 minutes): digital, .flv file, sound
Language
English
Description
Classify all different types of four-sided polygons (called quadrilaterals) and learn the surprising characteristics about the diagonals and interior angles of rectangles, rhombuses, trapezoids, and more. Also see how real-life objects—like ironing boards—exhibit these geometric characteristics.
Publisher
The Great Courses
Pub. Date
2016.
Physical Desc
1 online resource (streaming video file) (29 minutes): digital, .flv file, sound
Language
English
Description
Negative numbers are often confusing, especially negative parenthetical expressions in algebra problems. Discover a simple visual model that makes it easy to keep track of what's negative and what's not, allowing you to tackle long strings of negatives and positives--with parentheses galore.
Publisher
The Great Courses
Pub. Date
2015.
Physical Desc
1 online resource (streaming video file) (32 minutes): digital, .flv file, sound
Language
English
Description
Enter another dimension - a fractional dimension! First, hone your understanding of dimensionality by solving the riddle of Gabriel's horn, which has finite volume but infinite surface area. Then venture into the fractal world of Sierpinski's triangle, which has 1.58 dimensions, and the Menger sponge, which has 2.73 dimensions.
Publisher
The Great Courses
Pub. Date
2016.
Physical Desc
1 online resource (streaming video file) (31 minutes): digital, .flv file, sound
Language
English
Description
Inspired by a question about the Fibonacci numbers, probe the power of graphs. First, experiment with scatter plots. Then see how plotting data is like graphing functions in algebra. Use graphs to prove the fixed-point theorem and answer the Fibonacci question that opened the lecture.
Publisher
The Great Courses
Pub. Date
2017.
Physical Desc
1 online resource (streaming video file) (28 minutes): digital, .flv file, sound
Language
English
Description
Delve into decision trees, which are graphs that use a branching method to determine all possible outcomes of a decision. Trees for continuous outcomes are called regression trees, while those for categorical outcomes are called classification trees. Learn how and when to use each, producing inferences that are easily understood by non-statisticians.
Publisher
The Great Courses
Pub. Date
2009.
Physical Desc
1 online resource (streaming video file) (31 minutes): digital, .flv file, sound
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.
19) The Joy of Math
Publisher
The Great Courses
Pub. Date
2017.
Physical Desc
1 online resource (streaming video file) (31 minutes): digital, .flv file, sound
Language
English
Description
Professor Benjamin introduces the ABCs of math appreciation: The field can be loved for itsapplications, itsbeauty and structure, and itscertainty. Most of all, mathematics is a source of endless delight through creative play with numbers.
20) Impossible Sets
Publisher
The Great Courses
Pub. Date
2015.
Physical Desc
1 online resource (streaming video file) (30 minutes): digital, .flv file, sound
Language
English
Description
Delve into Bertrand Russell's profoundly simple paradox that undermined Cantor's theory of sets. Then follow the scramble to fix set theory and all of mathematics with a new set of axioms, designed to avoid all paradoxes and keep mathematics consistent - a goal that was partly met by the Zermelo-Fraenkel set theory.
In Interlibrary Loan
Didn't find what you need? Items not owned by Pueblo Library can be requested from other Interlibrary Loan libraries to be delivered to your local library for pickup.
Didn't find it?
Can't find what you are looking for? Try our Materials Request Service. Submit Request