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The Joy of Mathematics

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24
The Joy of Mathematical Magic
1970-01-01
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.

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23
The Joy of Mathematical Games
2007-04-11
This lecture applies the law of total probability and other concepts from the course to predict the long-term losses to be expected from playing games such as roulette and craps and understand what is known as the "Gambler's Ruin Problem.

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22
The Joy of Probability
2007-04-11
Mathematics can draw detailed inferences about random events. This lecture covers major concepts in probability, such as the law of large numbers, the central limit theorem, and how to measure variance.

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21
The Joy of Pascal's Triangle
2007-04-11
A geometric arrangement of binomial coefficients called Pascal's triangle is a treasure trove of beautiful number patterns. It even provides an answer to the song "The Twelve Days of Christmas": Exactly how many gifts did my true love give to me?

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20
The Joy of Integral Calculus
1970-01-01
Geometry and trigonometry are used to determine the areas of simple figures such as triangles and circles. But how are more complex shapes measured?

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19
The Joy of Approximating with Calculus
2007-04-11
Exploiting the idea of the derivative, we can approximate just about any function using simple polynomials. This lecture also shows why a formula sometimes known as "God's equation" (involving e, i, p, 1, and 0) is true, and how to calculate square roots in your head.

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18
The Joy of Differential Calculus
2007-04-11
Calculus is the mathematics of change, and answers questions such as: How fast is a function growing? This lecture introduces the concepts of limits and derivatives, which allow the slope of a curve to be measured at any point.

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17
The Joy of Infinite Series
1970-01-01
Starting with the analysis of the proposition 0.999999999 ... = 1, this lecture ex­plores what it means to add up an infinite series of numbers. Some infinite series con­verge on a definite value, while others grow arbitrarily large.

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16
The Joy of Infinity
2007-04-11
What is the meaning of infinity? Are some infinite sets "more" infinite than others? Could there possibly be an infinite number of levels of infinity? This lecture explores some of the strange ideas associated with mathematical infinity.

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15
The Joy of the Number e
1970-01-01
Another indispensable number to learn is e = 2.71828 ... Defined as the base of the natural logarithm, e plays a central role in calculus, and it arises naturally in many spheres of mathematics, including calculations of compound interest.

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14
The Joy of the Imaginary Number i
2007-04-11
Could the apparently nonsensical number the square root of - 1 be of any use? Very much so, as this lecture shows.

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13
The Joy of Trigonometry
1970-01-01
Trigonometry deals with the sides and angles of triangles. This lecture defines sine, cosine, and tangent, along with their reciprocals, the cosecant, secant, and cotangent.

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12
The Joy of Pi
1970-01-01
Pi is the ratio of the circumference of a circle to its diameter. It starts 3.14 and continues in an infinite nonrepeating sequence. Professor Benjamin shows how to learn the first hundred digits of this celebrated number, making it look as easy as pie.

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11
The Joy of Geometry
2007-04-11
Geometry is based on a handful of definitions and axioms involving points, lines, and angles. These lead to important conclusions about the properties of polygons.

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9
The Joy of 9
2007-04-11
Adding the digits of a multiple of 9 always gives a multiple of 9. For example: 9 x 4 = 36, and 3 + 6 = 9.

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8
The Joy of Algebra Made Visual
2007-04-11
Algebra can be used to solve geometrical problems, such as finding where two lines cross. The technique is useful in real-life problems, for example, in choosing a telephone plan.

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7
The Joy of Higher Algebra
1970-01-01
This lecture shows how to solve quadratic (second-degree) equations from the technique of completing the square and the quadratic formula. The quadratic formula reveals the connection between Fibonacci numbers and the golden ratio.

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6
The Joy of Algebra
2007-04-11
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.

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5
The Joy of Fibonacci Numbers
1970-01-01
The Fibonacci numbers follow the simple pattern 1, 1, 2, 3, 5, 8, etc., in which each number is the sum of the two preceding numbers.

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4
The Joy of Counting
2007-04-11
Combinatorics is 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?

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3
The Joy of Primes
2007-04-11
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.

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2
The Joy of Numbers
2007-04-11
How do you add all the numbers from 1 to 100 - instantly? What makes a square number square and a triangular number triangular?

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1
The Joy of Math - The Big Picture
2007-04-11
Professor Benjamin introduces the ABCs of math appreciation: The field can be loved for its applications, its beauty and structure, and its certainty. Most of all, mathematics is a source of endless delight through creative play with numbers.

Watch The Joy of Mathematics Season 1 Episode 1 Now

The Joy of Mathematics is an enlightening educational series presented by The Great Courses Signature Collection, designed to offer a captivating glimpse into the vast world of mathematics and reveal its hidden beauty. This show bridges the gap between the subject's often intimidating reputation and the exhilarating experience of uncovering its secrets, all in a manner that is both digestible and enjoyable for viewers of all backgrounds. Over the course of the lecture series, viewers are invited to explore the multifaceted nature of mathematics, from the simplest of numbers to the most complex of theories. The show is hosted by an engaging and knowledgeable professor who is not just an expert in the field but also a passionate educator determined to demystify the subject and make it accessible. The presenter’s enthusiasm is infectious as they guide viewers through an array of topics, showing how mathematics is not just a tool for scientists and engineers, but a universal language with applications in art, music, nature, and everyday life. Each episode delves into different mathematical concepts, starting with the basics and gradually building up to more advanced theories and applications. The journey begins with a look at numbers and operations, the building blocks of all mathematical thought. Viewers will discover the subtle nuances of prime numbers, the elegance of the Fibonacci sequence, and the surprising ways in which these seemingly abstract concepts manifest in the world around us. As the series progresses, it dives into various areas of mathematics including algebra, geometry, calculus, and beyond. In exploring algebra, the show unveils the ways in which mathematical patterns govern the order and predictability of various phenomena. Geometry is presented not just as a study of shapes, but as an essential framework for understanding space and form, both in the man-made and natural world. The sections on calculus are particularly enlightening, revealing how this branch of mathematics enables us to grasp rates of change and the behavior of physical systems over time. The Joy of Mathematics also takes care to illustrate the interconnectedness of various mathematical concepts. It shows that mathematics is not a series of isolated topics, but a rich tapestry where different areas inform and enhance understanding in others. The series encourages viewers to see the subject as mathematicians do—as a realm of endless possibility and intellectual adventure. One of the standout features of the show is its ability to connect abstract mathematical ideas to real-world applications. It brings to light countless examples of how math shapes our understanding of the universe, from the design of bridges and the trajectory of planets to the algorithms that power our technology and the statistics that inform our decisions. Each example serves to underscore the profound impact of mathematics on human advancement and the natural order. The Joy of Mathematics does not shy away from challenges; it embraces the complexities and difficulties inherent in truly understanding the subject. However, it does so with a sense of playfulness and creativity, demonstrating that problem-solving in mathematics can be as fulfilling and thrilling as any intellectual pursuit. The series encourages critical thinking and curiosity, equipping viewers with the tools to approach mathematical puzzles with confidence and a sense of fun. The visual presentation of The Joy of Mathematics is tailored to enhance the learning experience. The use of vivid graphics, animations, and demonstrations helps demystify complex ideas and allows viewers to visualize the abstract. Coupled with the clear and articulate explanations of the host, these visual aids make the series both intellectually stimulating and aesthetically engaging. In addition to the academic content, the show also explores the historical context of mathematical development, introducing the great minds and personalities who pushed the boundaries of the field. These stories add a human element to the subject and demonstrate how perseverance and creativity have driven mathematical discovery throughout history. The Joy of Mathematics transcends the classroom setting to show that mathematics is a vibrant and essential aspect of human culture. Regardless of a viewer’s prior knowledge or feelings towards mathematics, this series promises to ignite a newfound appreciation or deepen an existing passion for the subject. It's a show that endeavors to dispel math anxiety and replace it with a sense of wonder, broadening the horizons of those who watch and inviting them to join in the universal joy that mathematics can provide.

The Joy of Mathematics is a series categorized as a . Spanning 1 seasons with a total of 23 episodes, the show debuted on 2007. The series has earned a no reviews from both critics and viewers. The IMDb score stands at undefined.

Genres
Channel
The Great Courses Signature Collection
Cast
Arthur T. Benjamin
The Joy of Mathematics is available on .