
Joy of Thinking: The Beauty and Power of Classical Mathematical Ideas
Various Professors
Enjoy discovering the bold and insightful habits of thinking that arise in the world of mathematics as you grasp strategies for approaching, enjoying, and understanding the world. You will come away with a new appreciation of mathematics through these thoroughly entertaining lectures, and an enhanced awareness of the richness, texture, and beauty around you each day. 


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Introduction to Number Theory
Professor Edward B. Burger
Called "the queen of mathematics" by the legendary mathematician Carl Friedrich Gauss, number theory is one of the oldest and largest branches of pure mathematics. Practitioners of number theory delve deep into the structure and nature of numbers, and explore the remarkable, startling, and often beautiful relationships that exist among them. Gain deep insights into the complex and beautiful patterns that structure the world of numbers, the branches of study that reveal these patterns, and the processes by which great thinkers establish new truths through dazzling mathematical proofs. 


Zero to Infinity: A History of Numbers
Professor Edward B. Burger
Numbers surround us. They mark our days, light our nights, foretell our weather, and keep us on course. They drive commerce and sustain civilization. But what are they? Zero to Infinity: A History of Numbers will not only give you the full and detailed story of how and why numbers are important; it will also introduce you to their enduring mystery. Whether you struggled through algebra or you majored in mathematics, you will find Professor Edward B. Burger's approach accessible and stimulating. If you think math is just problems and formulas, prepare to be amazed. 


Discrete Mathematics & Zero to Infinity: A History of Numbers (Set)
Various Professors
Explore a field of mathematics that is off the beaten path but that has vital applications in computer science, cryptography, engineering, and problem solving of all types, as well as the fascinating history of numbers, in this twocourse set. In Discrete Mathematics, you see the wide range of subjects in the realm of digital math. Zero to Infinity: A History of Numbers takes you on an intellectual pilgrimage through the creative breakthroughs of pure mathematics. 


Prove It: The Art of Mathematical Argument & An Introduction to Number Theory (Set)
Various Professors
See the clarity that mathematical proofs provide in illuminating the key concepts of every branch of mathematics, and understand why number theory has a deserved reputation for being “the queen of mathematics,” in this course set by two expert mathematicians and instructors. First, in Professor Bruce H. Edwards’s Prove It: The Art of Mathematical Argument, you learn to do proofs yourself and, in the process, see the elegant order and connections between mathematical ideas. Then, in Professor Edward B. Burger’s An Introduction to Number Theory, you cover all the fundamentals of this oldest branch of pure mathematics and gain insights into the nature of and relationships between natural numbers, prime numbers, integers, negative and irrational numbers, algebraic numbers, imaginary numbers, and transcendental numbers. 


Change and Motion: Calculus Made Clear, 2nd Edition & An Introduction to Number Theory (Set)
Various Professors
Explore two of the most intriguing fields in mathematics with this insightful twocourse set. Start by focusing on calculus and the ways it appears around you in Change and Motion: Calculus Made Clear, 2nd Edition. Then, continue on to number theory, one of the oldest and largest branches of pure mathematics, with An Introduction to Number Theory. 


Great Thinkers, Great Theorems & Zero to Infinity: A History of Numbers (Set)
Various Professors
Embark on two dynamic forays into the heart of the mathematical world with this twocourse set delivered by two engaging mathematicians and awardwinning professors. First, explore the most aweinspiring theorems in the 3,000year history of mathematics with the 24 lectures of Great Thinkers, Great Theorems. Then, delve into the equally fascinating history of numbers in the 24 intellectually stimulating lectures of Zero to Infinity: A History of Numbers. 


Introduction to Number Theory & Mastering Differential Equations: The Visual Method (Set)
Various Professors
Finally make sense of number theory and differential equations and strengthen your grasp of higher mathematics with this twocourse set. In An Introduction to Number Theory, delve deeper than ever before into the complete, startling, and beautiful patterns and relationships between numbers. And in Mastering Differential Equations: The Visual Method, embark on a visually engaging exploration of first and secondorder differential equations, nonlinear systems, dynamical systems, iterated functions, and more. 


Mathematics from the Visual World & An Introduction to Number Theory (Set)
Various Professors
Immerse yourself in two powerful mathematical fields—geometry and number theory—in this illuminating twocourse set delivered by two highly popular Great Courses professors. Mathematics from the Visual World, taught by distinguished Professor Michael Starbird, introduces you to the terms, concepts, and astonishing power of geometry, including topology, conic sections, and nonEuclidian geometry. An Introduction to Number Theory by Professor Edward B. Burger explores the many different types of numbers, including real, imaginary, algebraic, and transcendental numbers. 


Joy of Science & Joy of Thinking: The Beauty and Power of Classical Mathematical Ideas (Set)
Various Professors
Rediscover the inherent joy of science and mathematics with this dynamic twocourse set. First, in The Joy of Science, get a clear overview of the key principles underneath all of modern science, from Newton's laws of motion to the latest marvels of genetic research. Then, delve into the equally fascinating world of mathematics with The Joy of Thinking, a course about the great mathematical ideas that arise from puzzles, observations of everyday life, and habits of curiosity and effective thinking. 


Chaos & An Introduction to Number Theory (Set)
Various Professors
Explore two fascinating theoretical fields that have helped reshape and strengthen our understanding of both science and mathematics. In Chaos, journey to the heart of the revolutionary field of chaos theory and discover new ways to think about the world. Then, get an equally clear and effective guide to one of the oldest and largest branches of pure mathematics in An Introduction to Number Theory. 


Joy of Mathematics & Joy of Thinking (Set)
Various Professors
Embark on two amazing mathematical journeys. In The Joy of Mathematics, learn the amazing utility of this field in everything from science to engineering to finance. In The Joy of Thinking: The Beauty and Power of Classical Mathematical Ideas, uncover and grasp insightful strategies for approaching, enjoying, and understanding the world around you. 


Joy of Mathematics & Zero to Infinity: A History of Numbers (Set)
Various Professors
Discover the sheer joy of, and intriguing history behind, the world of mathematics. First, exercise your brain cells with The Joy of Mathematics, which reveals the amazing utility of mathematics in everything from science and engineering to finance, games of chance, and many other aspects of life. Then, explore the equally fascinating history of how numbers grew in our understanding and sparked our imagination in Zero to Infinity: A History of Numbers. 


Joy of Thinking: The Beauty and Power of Classical Mathematical Ideas & Queen of the Sciences: A History of Mathematics (Set)
Various Professors
Go on a thrilling exploration of the greatest ideas in mathematics—ideas every bit the equal of the greatest discoveries and accomplishments in literature, art, music, and other fields. Learn to see the beauty of elegant ideas—and how they can not only lead you to insights about our everyday lives but also to worlds far beyond our own—in The Joy of Thinking: The Beauty and Power of Classical Mathematical Ideas. And in The Queen of the Sciences: A History of Mathematics, see how the history of mathematics constitutes one of the most magnificent, surprising, and powerful of all human achievements. 
