Dive into the heart of pure mathematics and learn fascinating facts that will forever change the way you experience numbers. Within these 24 lessons taught by an award-winning mathematics professor, imaginary numbers, algebraic numbers, integers, negative and irrational numbers, prime numbers, you will gain a comprehensive knowledge of many types of numbers: natural numbers, and transcendental numbers.

That knowledge will give you the foundation to gain deeper insights into the branches of number theory and the complex and beautiful patterns found in the world of numbers. Professor burger begins each lesson with a clear overview of the high-level concepts before dissecting each concept into the formulae and calculations that lies at its heart.

An Introduction to Number Theory #ad - Number theory, while intellectually challenging, is not something reserved for only the most die-hard mathematicians. In this course, you'll also see how number theory affects your daily life. Whether you're a high school math student, the remarkable relationships between them, you will gain a deeper understanding of the nature of numbers, a mathematics major, or a lifelong lover of numbers, and the many branches of number theory.

More information about

**The Teaching Company #ad**

## Zero to Infinity: A History of Numbers

The Teaching Company #ad - Among the types of numbers you explore throughout the course are: real numbers, used primarily for counting and ordering; prime numbers, or numbers that can be given by an infinite decimal representation; natural numbers, which are numbers that cannot be expressed as simple fractions; and transcendental numbers, which are natural numbers greater than 1 that can be divided by only 1 and itself; irrational numbers, or irrational numbers that are not algebraic.You'll examine early conceptual underpinnings of numbers that led to our current common notion of number; learn how numbers eventually took on a life of their own within the larger structure of mathematics; ponder the stories of ? and e - the two most important numbers in our universe; explore the algebraic and analytic evolutions of number; and delve into the idea of infinity, which holds many fascinating features.

Zero to Infinity: A History of Numbers #ad - . But what are they? these 24 lectures explore this fascinating question and the equally fascinating history of numbers. They mark our days, light our nights, foretell our weather, and keep us on course. Professor burger's historical, global, and conceptual approach to numbers gives you not only a revealing tour of mathematical history but shows how and why numbers evolved, as well as the transforming implications of each advance for both mathematics and society.

Numbers surround us. They drive commerce and sustain civilization. Professor burger structures this investigation into the concept of number with five main points of focus, each of which informs the other and allows our understanding to grow and evolve in step with the numbers themselves.

More information about

**The Teaching Company #ad**

**Similar products**

## Change and Motion: Calculus Made Clear, 2nd Edition

The Great Courses #ad - You will begin with a discussion of a car driving down a road, discussing its speed and position and their relationship to each other. In fact, a 1, 300-page calculus textbook contains 1, 298 pages of examples of these two concepts. By the end of the course, you will be seeing calculus everywhere you look and finally feel confident that you have gained an appreciation of this powerful mathematical subject.Award-winning professor of mathematics michael Starbird of the University of Texas at Austin is your able guide, committed to opening the door to this powerful subject and making its concepts accessible to all. But it doesn't have to be daunting or inaccessible, even if you aren't a "math person. The 24 lessons of this course will teach you to grasp the power and beauty of calculus, even if you only have a basic understanding of algebra and geometry.

Change and Motion: Calculus Made Clear, 2nd Edition #ad - Used book in Good Condition. Calculus. The word has the power to strike fear in the hearts of many people. You will be able to apply these powerful insights to any situation that changes over time: economics, astronomy, and even baseball. This simple example begins your exploration of a fascinating and not at all intimidating mathematical subject that will keep you spellbound.

While calculus has made it possible for humans to build bridges across miles of river, and predict the patterns of population change around the world, take spaceships to the moon, it can be boiled down to just two ideas - the derivative and the integral - both of which arise from simple analysis of motion.

More information about

**The Great Courses #ad**

**Similar products**

## Great Thinkers, Great Theorems

The Great Courses #ad - You can savor these results and many more in great thinkers, 000 years of beautiful mathematics, Great Theorems, 24 half-hour lectures that conduct you through more than 3, telling the story of the growth of the field through a carefully chosen selection of its most awe-inspiring theorems. As added enrichment, the course guidebook has supplementary questions and problems that allow you to go deeper into the ideas behind the theorems.. Used book in Good Condition. Your guide on this lavishly illustrated tour, which features detailed graphics walking you through every step of every proof, is Professor William Dunham of Muhlenberg College, an award-winning teacher who has developed an artist's eye for conveying the essence of a mathematical idea.

Great Thinkers, Great Theorems #ad - They are the mona lisas, and fifth symphonys of the field-landmark achievements that repay endless study and that are the work of geniuses as fascinating as Leonardo, Hamlets, Shakespeare, and Beethoven. Manufacturer's warranty only when purchased from The Great Courses. Mathematics is filled with beautiful theorems that are as breathtaking as the most celebrated works of art, literature, or music.

And it requires no more than a grasp of high school mathematics, although it will delight mathematicians of all abilities. Through his enthusiasm for brilliant strategies, novel tactics, and other hallmarks of great theorems, you learn how mathematicians think and what they mean by "beauty" in their work.

Approaching great theorems the way an art course approaches great works of art, the course opens your mind to new levels of math appreciation.

More information about

**The Great Courses #ad**

**Similar products**

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

The Teaching Company #ad - The joy of thinking is a course about fun, aesthetics, observations of everyday life, and mystery-about great mathematical ideas that arise from puzzles, and habits of curiosity and effective thinking. Used book in Good Condition. It is as much about learning to think abstractly as it is about what we traditionally think of as mathematics.Rather than focusing on adding figures or creating equations in fact, enjoying, there are fewer numbers than you might expect, this course enables you to uncover and grasp insightful strategies for approaching, and understanding the world around you. This course explores infinity, chaos, fractals, probability, the fourth dimension, and other fantastic themes.

The Joy of Thinking: The Beauty and Power of Classical Mathematical Ideas #ad - Manufacturer's warranty only when purchased from The Great Courses. Manufacturer's warranty only when purchased from The Great Courses. Discover mathematics as an artistic and creative realm that contains some of the greatest ideas of human history.

More information about

**The Teaching Company #ad**

**Similar products**

## Discrete Mathematics

The Teaching Company #ad - Manufacturer's warranty only when purchased from The Great Courses. Explore this modern realm in these 24 mind-expanding lectures that are mathematically rigorous and yet entertaining and accessible to anyone with a basic knowledge of high school algebra. As a result, discrete mathematics achieves fascinating mathematical results using relatively simple means, such as counting.Dvd set. Discrete mathematics covers a wide range of subjects, and you'll delve into three of its most important fields, proofs, presenting a generous selection of problems, and applications in three main areas. Manufacturer's warranty only when purchased from The Great Courses. First is combinatorics, or the mathematics of counting.

Then you'll move on to number theory, you'll examine graph theory, which leads to come intriguing puzzles: Can every number be factored into prime numbers in exactly one way? Why do the digits of a multiple of 9 always sum to a multiple of 9? Finally, which focuses on the relationship between objects in the most abstract sense.

Discrete Mathematics #ad - Professor benjamin describes discrete mathematics as "relevant and elegant" - qualities that are evident in the practical power Used book in Good Condition. While continuous mathematics resembles an old-fashioned analog clock, discrete mathematics is like a digital watch, whose second hand sweeps continuously across a dial, whose numbers proceed one second at a time.

By simply connecting dots with lines, graph theorists create networks that model everything from how computers store information to potential marriage partners.

More information about

**The Teaching Company #ad**

**Similar products**

## Mastering Differential Equations: The Visual Method

The Great Courses #ad - 4 dvd with course guidebook. The pinnacle of a mathematics education, differential equations assume a basic knowledge of calculus, and they have traditionally required the rote memorization of a vast "cookbook" of formulas and specialized tricks needed to find explicit solutions. Dvd set. Best of all, the visual method means that unrealistic simplifications need not be applied to a problem.. Manufacturer's warranty only when purchased from The Great Courses. Professor devaney draws on the power of the computer to explore solutions visually. Throughout these graphics-intensive lectures, you investigate the geometric behavior of differential equations, seeing how the computer can calculate approximate solutions with as much precision as needed.

Mastering Differential Equations: The Visual Method #ad - Mastering differential equations: the visual method guides you into the 21st century, showing how this deceptively simple tool - the differential equation - continues to give surprising and spectacular insights into both the world of mathematics and the workings of the universe Used book in Good Condition.

Devaney, Berkeley, Ph. D. University of California,. 24 lectures 30 minutes each. And you may be surprised to learn how easily you can calculate and display approximate solutions yourself, even using nothing more than an ordinary spreadsheet.

More information about

**The Great Courses #ad**

**Similar products**

Algebra II #ad

## The Joy of Mathematics

The Great Courses #ad - Taught by professor robert l. Used book in Good Condition. If you have any concerns with your product, or want to request a replacement, please contact The Great Courses through our Amazon storefront for more information. These lectures are especially well suited for: anyone attracted by the promise of a joyful attitude to an often-imposing subject; anyone for whom high school and college math courses are a distant memory; anyone now taking math who would like a big-picture perspective on the major areas of the field; and budding math mavens who love numbers and the magic that can be done with them.. Be prepared to encounter strange equations, novel ways of thinking, and symbols and computational methods that may be new to you. Benjamin shows how the beautiful and often imposing edifice that has given us algebra, trigonometry, geometry, calculus, probability, and so much else is based on nothing more than fooling around with numbers.

The Joy of Mathematics #ad - 4 dvd with course guidebook. Manufacturer's warranty only when purchased from The Great Courses. You'll investigate the powerful techniques for manipulating numbers using algebra, geometry, trigonometry, calculus, and probability in lectures that may hark back to subjects you studied in high school and college.

But also prepare to sharpen your wits in ways you never thought possible. Lifetime manufacturer warranty. And you'll find these lectures both a useful refresher and a bird's-eye view of the most important areas of mathematics.

More information about

**The Great Courses #ad**

**Similar products**

## What Are the Chances? Probability Made Clear

The Teaching Company #ad - Used book in Good Condition. Manufacturer's warranty only when purchased from The Great Courses. Dvd set. Taught by professor robert l. Take hold of this powerful tool and you can dispel uncertainty and understand the true odds in the game of life. Every time you buy a stock, play poker, or make plans based on a weather forecast, you are consigning your fate to probability.Manufacturer's warranty only when purchased from The Great Courses. Probability comes to the rescue to describe what we should expect from the randomness of life. Manufacturer's warranty only when purchased from The Great Courses. Devaney, Berkeley, Ph. D. University of California,. 24 lectures 30 minutes each. Here are some that you will explore in your investigation of probability as a reasoning tool: When did the most recent common ancestor of all humans live? How much should you pay for a stock option? What do you do on third down with long yardage? After an introduction to the key concepts of probability, you will delve into the wealth of applications, from biology to physics to finance to war.

What Are the Chances? Probability Made Clear #ad - Professor michael starbird of the university of Texas at Austin knows the secret of making numbers come alive to non-mathematicians: he picks intriguing, useful, and entertaining examples. These 12 fascinating half-hour lectures help you understand the random factors that lurk behind almost everything. 4 dvd with course guidebook.

More information about

**The Teaching Company #ad**

**Similar products**

## Meaning from Data: Statistics Made Clear

The Teaching Company #ad - Manufacturer's warranty only when purchased from The Great Courses. This course is your introduction to a vitally important subject in today's data-driven society. You can't look at a newspaper without seeing statistics on virtually every page. You can't talk about the weather forecast without invoking statistics.And you'd better not go to a casino without understanding statistics! When you gain an understanding of how statistics works, you can make it work for you in a variety of life-changing ways. Statistical information is truly everywhere. Used book in Good Condition. Manufacturer's warranty only when purchased from The Great Courses.

Meaning from Data: Statistics Made Clear #ad - You will sharpen your understanding of basic statistical vocabulary and learn how to extract meaning from data, all while using no more than basic algebra. Who was the greatest baseball hitter of all time? what is a guilt-free way to get someone to admit to cheating? Which hospital has the best outcome for a given procedure? When is it a good idea to buy a product's extended warranty? How does a tax assessor calculate the market value of a house? These questions all involve the interpretation of statistics.

Dvd set. Devaney, Berkeley, Ph. D. University of California,.

More information about

**The Teaching Company #ad**

**Similar products**

## Prove It: The Art of Mathematical Argument

#ad - Manufacturer's warranty only when purchased from The Great Courses. The experience is the closest you can get to glimpsing the abstract order behind all things. 4 dvd with course guidebook. Mathematical proof is the gold standard of knowledge. Taught by professor robert l. Edwards of the University of Florida. Imagine, then, the thrill of being able to prove something in mathematics.Used book in Good Condition. Devaney, Berkeley, Ph. D. University of California,. 24 lectures 30 minutes each. Manufacturer's warranty only when purchased from The Great Courses. Once a mathematical statement has been proved with a rigorous argument, it counts as true throughout the universe and for all time. Manufacturer's warranty only when purchased from The Great Courses.

Prove It: The Art of Mathematical Argument #ad - Dvd set. Manufacturer's warranty only when purchased from The Great Courses. The author of many widely used textbooks, Professor Edwards has a knack for making mathematics as exciting to his audience as it obviously is to him. Prove it: the art of mathematical argument initiates you into this thrilling discipline in 24 proof- and information-filled lectures suitable for everyone from high school students to the more math-savvy.

More information about

**#ad**

**Similar products**

Algebra II #ad