Catalog Search Results
Author
Series
Publisher
Dover Publications
Pub. Date
[2018]
Language
English
Description
In the Introduction to this concise monograph, the author states his two main goals: first, "to make the theory of infinite abelian groups available in a convenient form to the mathematical public; second, to help students acquire some of the techniques used in modern infinite algebra." Suitable for advanced undergraduates and graduate students in mathematics, the text requires no extensive background beyond the rudiments of group theory. Starting...
Author
Series
Publisher
Dover Publications
Pub. Date
[2018]
Language
English
Description
Brief, clear, and well written, this introduction to abstract algebra bridges the gap between the solid ground of traditional algebra and the abstract territory of modern algebra. The only prerequisite is high school–level algebra. Author W. W. Sawyer begins with a very basic viewpoint of abstract algebra, using simple arithmetic and elementary algebra. He then proceeds to arithmetic and polynomials, slowly progressing to more complex matters: finite...
63) Algebraic Logic
Author
Publisher
Dover Publications
Pub. Date
[2016]
Language
English
Description
Beginning with an introduction to the concepts of algebraic logic, this concise volume features ten articles by a prominent mathematician that originally appeared in journals from 1954 to 1959. Covering monadic and polyadic algebras, these articles are essentially self-contained and accessible to a general mathematical audience, requiring no specialized knowledge of algebra or logic. Part One addresses monadic algebras, with articles on general theory,...
Author
Publisher
Hill and Wang
Pub. Date
2001
Accelerated Reader
IL: UG - BL: 11 - AR Pts: 10
Language
English
Description
Presents a discussion of innumeracy, the inability to deal comfortably with the fundamental notions of number and chance, and looks at the consequences of mathematical illiteracy as seen in stock scams, diet and medical claims, sports records, lotteries, and other scenarios.
Publisher
The Great Courses
Pub. Date
2009.
Language
English
Description
Discover how to solve equations that contain radical expressions. A key step is isolating the radical term and then squaring both sides. As always, it's important to check the solution by plugging it into the equation to see if it makes sense. This is especially true with radical equations, which can sometimes yield extraneous, or invalid, solutions.
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
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
2017.
Language
English
Description
Combinatoricsis the study of counting questions such as: How many outfits are possible if you own 8 shirts, 5 pairs of pants, and 10 ties? A trickier question: How many ways are there to arrange 10 books on a shelf? Combinatorics can also be used to analyze numbering systems, such as ZIP Codes or license plates, as well as games of chance.
Publisher
The Great Courses
Pub. Date
2017.
Language
English
Description
Closing the course with a magician's flair, Professor Benjamin shows a trick for producing anyone's phone number, how to create a magic square based on your birthday, how to play "mathematical survivor," a technique for computing cube roots in your head, and a card trick to ponder.
Publisher
The Great Courses
Pub. Date
2017.
Language
English
Description
While a creative statistical analysis can sometime salvage a poorly designed experiment, gain an understanding of how experiments can be designed in from the outset to collect far more reliable statistical data. Consider the role of randomization, replication, blocking, and other criteria, along with the use of ANOVA to analyze the results. Work several examples in R.
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
2009.
Language
English
Description
Shift gears to consider linear inequalities, which are mathematical expressions featuring a less than sign or a greater than sign instead of an equal sign. Discover that these kinds of problems have some very interesting twists, and they come up frequently in business applications.
Publisher
The Great Courses
Pub. Date
2009.
Language
English
Description
Continuing your exploration of rational expressions, try your hand at multiplying and dividing them. The key to solving these complicated-looking equations is to proceed one step at a time. Close the lesson with a problem that brings together all you've learned about rational functions.
Publisher
The Great Courses
Pub. Date
2016.
Language
English
Description
Ponder a question posed by mathematician Georg Cantor: what makes two sets the same size? Start by matching the infinite counting numbers with other infinite sets, proving they're the same size. Then discover an infinite set that's infinitely larger than the counting numbers. In fact, find an infinite number of them!
Publisher
The Great Courses
Pub. Date
2014.
Language
English
Description
In your study of lines, you used the combination of geometry and algebra to determine all kinds of interesting properties and characteristics. Now, you’ll do the same for circles, including deriving the algebraic equation for a circle.
Publisher
The Great Courses
Pub. Date
2017.
Language
English
Description
Extend the method of hypothesis testing to see whether data from two different samples could have come from the same population - for example, chickens on different feed types or an ice skater's speed in two contrasting maneuvers. Using R, learn how to choose the right tool to differentiate between independent and dependent samples. One such tool is the matched pairs t-test.
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