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This book is issued from a 30 year experience on the presentation of variational methods to successive generations of students and researchers in Engineering. It gives a comprehensive, pedagogical and engineer-oriented presentation of the foundations of variational methods and of their use in numerical problems of Engineering. Particular applications to linear and nonlinear systems of equations, differential equations, optimization and control are...
Author
Description
Overview: The math we learn in school can seem like a dull set of rules, laid down by the ancients and not to be questioned. In How Not to Be Wrong, Jordan Ellenberg shows us how terribly limiting this view is: Math isn't confined to abstract incidents that never occur in real life, but rather touches everything we do-the whole world is shot through with it. Math allows us to see the hidden structures underneath the messy and chaotic surface of our...
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Formats
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"In this vibrant work, which is ideal for teaching and learning, Apoorva Khare and Anna Lachowska explain the mathematics essential for understanding and appreciating our quantitative world. They show with examples that mathematics is a key tool in the creation and appreciation of art, music, and literature, not just science and technology. The book covers basic mathematical topics from logarithms to statistics, but the authors eschew mundane finance...
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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"What's new in this edition? We have added new content and also tried to make improvements to the existing material. There are five new historical sketches, on: The tangent function and how it made its way into trigonometry. Logarithms, both decimal and natural. Conic sections: ellipses, parabolas, and hyperbolas. Irrational numbers. The derivative. As always, each of these come with Questions and Projects that try to address both the mathematics...
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"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."--Publisher description.
Author
Formats
Description
Calculus Essentials For Dummies (9781119591207) was previously published as Calculus Essentials For Dummies (9780470618356). While this version features a new Dummies cover and design, the content is the same as the prior release and should not be considered a new or updated product. Many colleges and universities require students to take at least one math course, and Calculus I is often the chosen option. Calculus Essentials For Dummies provides...
Author
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Description
"The fascinating world of graph theory goes back several centuries and revolves around the study of graphs - mathematical structures showing relations between objects. With applications in biology, computer science, transportation science, and other areas, graph theory encompasses some of the most beautiful formulas in mathematics - and some of its most famous problems. For example, what is the shortest route for a traveling salesman seeking to visit...
Pub. Date
2015.
Physical Desc
1 online resource (streaming video file) (32 minutes): digital, .flv file, sound
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.
Pub. Date
2015.
Physical Desc
1 online resource (streaming video file) (740 minutes): digital, .flv file, sound
Description
Discover the timeless riddles and paradoxes that have confounded the greatest philosophical, mathematical, and scientific minds in history. Stretching your mind to try to solve a puzzle, even when the answer eludes you, can help sharpen your mind and focus - and it’s an intellectual thrill!
Pub. Date
2009.
Physical Desc
1 online resource (streaming video file) (31 minutes): digital, .flv file, sound
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.
Pub. Date
2014.
Physical Desc
1 online resource (streaming video file) (32 minutes): digital, .flv file, sound
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.
Pub. Date
2009.
Physical Desc
1 online resource (streaming video file) (33 minutes): digital, .flv file, sound
Description
Conclude the course by examining more types of number sequences, discovering how rich and enjoyable the mathematics of pattern recognition can be. As in previous lessons, employ your reasoning skills and growing command of algebra to find order - and beauty - where once all was a confusion of numbers.
Pub. Date
2014.
Physical Desc
1 online resource (streaming video file) (34 minutes): digital, .flv file, sound
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.
Pub. Date
2017.
Physical Desc
1 online resource (streaming video file) (30 minutes): digital, .flv file, sound
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.
Pub. Date
2017.
Physical Desc
1 online resource (streaming video file) (34 minutes): digital, .flv file, sound
Description
Multiple linear regression lets you deal with data that has multiple predictors. Begin with an R data set on diabetes in Pima Indian women that has an array of potential predictors. Evaluate these predictors for significance. Then turn to data where you fit a multiple regression model by adding explanatory variables one by one.
Pub. Date
2017.
Physical Desc
1 online resource (streaming video file) (31 minutes): digital, .flv file, sound
Description
Professor Benjamin begins his discussion of mathematical proofs with intuitive cases like "even plus even is even" and "odd times odd is odd." He builds to more complexproofs by existenceandinduction, and ends with a checkerboard challenge.
Pub. Date
2009.
Physical Desc
1 online resource (streaming video file) (32 minutes): digital, .flv file, sound
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.
Pub. Date
2015.
Physical Desc
1 online resource (streaming video file) (32 minutes): digital, .flv file, sound
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.
Pub. Date
2015.
Physical Desc
1 online resource (streaming video file) (31 minutes): digital, .flv file, sound
Description
Investigate a puzzle that defied some of the most brilliant minds in mathematics: the Monty Hall problem, named after the host of Let's Make a Deal! Hall would let contestants change their guess about the location of a hidden prize after revealing new information about where it was not.





