Joy of Thinking: The Beauty and Power of Classical Mathematical Ideas

This course is available immediately. You might not want to call this math. But you will experience it in a different way. File size 8.20 GB

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 greatest ideas of Human history. This course examines infinity as the fourth dimension, probability and chaos, as well as fractals. and Other great themes.
Read the complete description

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 Mathematics contains some of The greatest ideas of humankind—ideas comparable to the works of Shakespeare, Plato, and Michelangelo. These mathematical ideas may add texture and beauty. and Your life will be filled with wonder. It doesn’t matter if you are a mathematician or not.

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. Effective thinking is not about how you think. of As mathematics.

Explore the fourth dimension, the coincidences, fractals and the allure. of number, and geometry, and Bring these ideas back to the surface to see how they can apply to your life.

Instead of focusing on creating equations or adding figures, this course will help you uncover the hidden meanings behind them. and For enjoying and approaching life with insight, you can use these strategies and Understanding the world around us.

“Wonderful … the Best”

Lectures by Professors Edward B. Burger of Williams College and Michael Starbird of The University of Texas at Austin: This course is based upon their innovative textbook. The Heart of Mathematics: A challenge to effective thinking, which a reviewer offers The American Mathematical Monthly called “wonderful … possibly the best ‘mathematics for the non-mathematician’ book that I have seen.”

Paradoxical Phenomena

These are just a few 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 It is possible that this has been the source of There were many heated arguments. The mathematics prepares you to become a game-show host. 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 very possible, even though there is little chance that two people will have the exact same birthday.
One of The most iconic illustrations of Randomness is the only way to describe the situation of Randomly typing Hamlet by monkeys. Another, called “Buffon’s needle,” This shows how random behavior can help to estimate numbers like pi. A similar model of needle dropping was used by physicists to accurately predict certain atomic phenomena.

The Fourth Dimension

Mathematical Thinking leads to more than just insights into our daily lives. 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 and 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 Understanding it requires that we develop intuition about a world we don’t see. However, this understanding is possible.

This course teaches you how to make a four-dimensional cube. and A four-dimensional surgeon can remove your appendix with out needing to make incisions in 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.

This paper-folding example is a great example. of The classical computational theory of “automata,” developed by Alan Turing—the father of Modern computing. The behavior may also be related to fractal construction processes of The stock market and Even at your highest heart rate

Download immediately 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. You can always do it if you are faced with a problem and If you don’t know what to do, take action.
Make mistakes and You can fail, but you must 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-minded. Never be afraid to try new ideas. This will make it impossible to grow your understanding. of The world around you
Learn the consequences of You can always find new ideas. This strategy encourages us to follow our ideas wherever they lead. and You will be able to find new ideas this way and insights.
Find the essential. Find the essential. of The biggest obstacle to solving real-world issues is noise and Clearance of These are irrelevant issues.
Understanding the issue. Identifying and Clarifying the problem in a situation can often be a major step towards finding a solution.
Simple things can be understood deeply. Without a keen focus on these aspects, we will never be able to understand unknowable situations. of The unknown is familiar. The In other words, the familiar is the best guide for the unknown.
Reduce a difficult problem to simpler ones. This strategy is essential to mathematics andIt is indeed applicable to everyday life.
You can examine issues from many angles of view. By looking at the construction, we can gain new insight. of An object rather than the object.
Look out for patterns. There are similarities among situations and Different objects should be considered as flashing lights that encourage us to seek explanations. Patterns are a way to organize our understanding of The world is your playground and Similarities are what we use when we want to bring order and Chaos can be understood as meaning.

The Un-Math Math

This is not the same mathematics you learned in school. You might not want to call this math, but it does provide a way. of The key to unlocking doors and opening minds is thinking positively and You’ll be able to smile while you ponder some of These are the most important concepts ever invented.

One of The best thing about mathematics is its ability to expand. The You will see more of the emerging horizon the further you travel. The You will learn more about what you have already seen the more you explore it. and The more you look ahead, the better. You can reach deep ideas. of We all. You have so many other 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 are certainly not the types. of Questions you might ask in a typical lecture about mathematics. This isn’t your typical math course.

Here’s what you’ll get in Joy of Thinking: The Beauty and Power of Classical Mathematical Ideas