What You’ll Discover in Joy of Thinking The Beauty and Power of Classical Mathematical Ideas
This is likely not the same as the math you studied in school. You might not want to call this math, but you do experience it as a way of thinking. File Size: 8.20GB
Joy of Thinking: The Beauty and Power of Classical Mathematical Ideas
Explore mathematics as an artistic medium and Creative realm that includes some of The best ideas of Human history. This course examines infinity, the fourth dimension of probability, chaos and fractals. and There are many other great themes.
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Is Bill Gates worth the effort to grab a $100 bill from a pedestrian? What sound advice can you give the contestant trying make a decision about whether to swizzle in the midst of all the screaming and shouting from the audience?
The world of Some mathematics includes some of The best ideas of humankind—ideas comparable to the works of Shakespeare, Plato, and Michelangelo. These mathematical ideas can give texture and beauty. and Your life will be filled with wonder. Most importantly, this world is accessible to anyone.
A Mathematical Journey
The Joy of Thinking is about aesthetics and fun. and mystery—about great mathematical ideas that arise from puzzles, observations of Everyday life and habits of curiosity and Effective thinking. It’s as important to learn how to think abstractly, as it is what we think. of As mathematics.
Explore the fourth dimension, coincidences and fractals. of number, and geometry, and These weighty ideas can be brought back to earth and applied to your life.
Instead of focusing on creating equations or adding numbers (which is what you might expect), this course will help you uncover the truth. and For enjoying and approaching life with insight, you can use these strategies and Understanding the world around you
“Wonderful …. the Best”
Prof. Edward B. Burger teaches of Williams College and Michael Starbird of The University of Texas at Austin’s innovative textbook is the basis of this course. The Heart of Mathematics: A call to effective thinking that a reviewer can offer The American Mathematical Monthly called “wonderful …. possibly the best ‘mathematics for the non-mathematician’ book that I have seen.”
Paradoxical Phenomena
Take a look at these examples.
The game show Let’s Make a Deal® entertained viewers with Monty Hall urging contestants to pick a door. The choice involves a question of Chance that was the source of There were many heated arguments. This course teaches you the mathematics necessary to be a game-show star. and explains a paradoxical example of probability.
Coincidences can be striking, as each one is very unlikely. It is also unlikely that coincidences will ever occur. Two people with the same birthday are unlikely to be found in the same room. of 45 is a very likely number, even though it is unlikely that two people will share the same birthday.
One of The most iconic illustrations of Randomness is the outcome of Randomly, monkeys type Hamlet. Another is called “Buffon’s needle,” This shows how random behavior can help to estimate numbers like pi. Scientists have discovered that similar needle-dropping models accurately predict certain atomic phenomena.
The Fourth Dimension
Mathematical Thinking can lead to insight about everyday life, but it also leads to new insights. and Our everyday world can also point us to other worlds. Consider the fourth dimension. The Very few words conjure up thoughts. of Science fiction or the supernatural.
The fourth dimension is beyond what we experience every day. Visualizing, exploring, and imagining it are the best ways to get there. and To understand it, we must develop an intuition about a reality that is beyond our comprehension. However, this understanding is possible.
This course teaches you how to make a four-dimensional cube. and Why a surgeon who is four-dimensional could remove your appendix and not need to incision your skin.
Fractals
Take a two-dimensional world. It can have just as many surprises. Learn how to do this simple exercise of Repeatedly fold a sheet of The concept of paper is introduced by paper of fractals—a geometric pattern that is infinitely complex—repeated at ever smaller scales to produce irregular shapes and There are surfaces that classical geometry cannot represent.
The paper-folding sequence is an example. of The classic computational theory of “automata,” developed by Alan Turing—the father of Modern computing. It is possible that fractal construction may be related to the behavior. of The stock market and Even at your highest heart rate
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Here’s What You’ll Get in Joy of Thinking: The Beauty and Power of Classical Mathematical Ideas
Life Lessons
As Professors Burger and These are the steps Starbird will take you through and Other examples will help you to learn important life lessons.
Don’t hesitate to do it. When faced with a problem, just do it. and If you don’t know what to do, take action.
Make mistakes and Failure is not an option. Never give up. Mathematicians are extraordinarily gifted at making mistakes. The It is important to learn from your mistakes and identify the key features of Find the right solution for you problem.
Be open to new ideas. Never be afraid to try new ideas. This will make it impossible to grow your understanding. of The world around you
Take a look at the implications of You can always find new ideas. This strategy allows us to see the potential of an idea. and This is a great way to get new ideas and insights.
Find the essential. You only need one. of The noise is one of the greatest obstacles to solving real-world problems. and Avoid clutter of They are often unrelated to other issues.
Learn the problem. Identifying and Clearing up the problem is often the first step to finding a solution.
Simple things can be understood deeply. It is impossible to fully understand complex situations if we don’t pay attention to the details. of The familiar is the unknown. The In other words, the familiar is the best guide for the unknown.
Divide a problem into smaller, more manageable pieces. This strategy is crucial to mathematics andIt is indeed applicable to everyday life.
You can examine issues from many angles of view. For example, we can gain new insights by taking a look at the construction of An object is more important than the object itself.
Look out for patterns. There are similarities among situations and Things that appear different from one another should be seen as flashing lights, urging us to search for answers. Patterns can help us structure our understanding of The world is your playground and Similarities are what we use when we want to bring order and Meaning to chaos.
The Un-Math Math
This is likely not the same math you studied in school. You might not want to call this math, but it does provide a way. of Thinking that opens doors opens minds and It makes you smile, while you think about some of These are the most important concepts ever invented.
One of The best thing about mathematics is the endless frontier. The The further you travel, the greater your view of the emerging horizon. The The more you learn, the better you will understand what you already know. and The more you see ahead, the greater your potential. Deep ideas are possible. of All of us. You have so many more ideas! and enjoy? How long do you live?
He chose Door Number 2. Is there a way to see the fourth dimension of Salvador Dali’s paintings?
These aren’t necessarily the types. of These are questions that you would expect to be asked in normal lectures on mathematics. However, this course is not an ordinary one.
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