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The Art of the Infinite takes infinity, in its countless guises, as a touchstone for understanding mathematical thinking. Robert and Ellen Kaplan guide us through the “Republic of Numbers,” where we meet both its upstanding citizens and its more shadowy dwellers; and transport us across the plane of geometry into the unlikely realm where parallel lines meet.
Bertrand Russell wrote that mathematics can exalt "as surely as poetry". This is especially true of one equation: ei(pi) + 1 = 0, the brainchild of Leonhard Euler, the Mozart of mathematics. More than two centuries after Euler's death, it is still regarded as a conceptual diamond of unsurpassed beauty. Called Euler's identity, or God's equation, it includes just five numbers but represents an astonishing revelation of hidden connections.
Who hasn't feared the math Minotaur in its labyrinth of abstractions? Now, in Out of the Labyrinth, Robert and Ellen Kaplan - the founders of The Math Circle, the popular learning program begun at Harvard in 1994 - reveal the secrets behind their highly successful approach, leading listeners out of the labyrinth and into the joyous embrace of mathematics.
The world of maths can seem mind-boggling, irrelevant and, let's face it, boring. This groundbreaking book reclaims maths from the geeks. Mathematical ideas underpin just about everything in our lives: from the surprising geometry of the 50p piece to how probability can help you win in any casino. In search of weird and wonderful mathematical phenomena, Alex Bellos travels across the globe and meets the world's fastest mental calculators in Germany and a startlingly numerate chimpanzee in Japan.
In Calculating the Cosmos, Ian Stewart presents an exhilarating guide to the cosmos, from our solar system to the entire universe. He describes the architecture of space and time, dark matter and dark energy, how galaxies form, why stars implode, how everything began, and how it's all going to end. He considers parallel universes, the fine-tuning of the cosmos for life, what forms extraterrestrial life might take, and the likelihood of life on Earth being snuffed out by an asteroid.
Max Tegmark leads us on an astonishing journey through past, present and future, and through the physics, astronomy, and mathematics that are the foundation of his work, most particularly his hypothesis that our physical reality is a mathematical structure and his theory of the ultimate multiverse. In a dazzling combination of both popular and groundbreaking science, he not only helps us grasp his often mind-boggling theories, but he also shares with us some of the often surprising triumphs and disappointments that have shaped his life as a scientist.
The Art of the Infinite takes infinity, in its countless guises, as a touchstone for understanding mathematical thinking. Robert and Ellen Kaplan guide us through the “Republic of Numbers,” where we meet both its upstanding citizens and its more shadowy dwellers; and transport us across the plane of geometry into the unlikely realm where parallel lines meet.
Bertrand Russell wrote that mathematics can exalt "as surely as poetry". This is especially true of one equation: ei(pi) + 1 = 0, the brainchild of Leonhard Euler, the Mozart of mathematics. More than two centuries after Euler's death, it is still regarded as a conceptual diamond of unsurpassed beauty. Called Euler's identity, or God's equation, it includes just five numbers but represents an astonishing revelation of hidden connections.
Who hasn't feared the math Minotaur in its labyrinth of abstractions? Now, in Out of the Labyrinth, Robert and Ellen Kaplan - the founders of The Math Circle, the popular learning program begun at Harvard in 1994 - reveal the secrets behind their highly successful approach, leading listeners out of the labyrinth and into the joyous embrace of mathematics.
The world of maths can seem mind-boggling, irrelevant and, let's face it, boring. This groundbreaking book reclaims maths from the geeks. Mathematical ideas underpin just about everything in our lives: from the surprising geometry of the 50p piece to how probability can help you win in any casino. In search of weird and wonderful mathematical phenomena, Alex Bellos travels across the globe and meets the world's fastest mental calculators in Germany and a startlingly numerate chimpanzee in Japan.
In Calculating the Cosmos, Ian Stewart presents an exhilarating guide to the cosmos, from our solar system to the entire universe. He describes the architecture of space and time, dark matter and dark energy, how galaxies form, why stars implode, how everything began, and how it's all going to end. He considers parallel universes, the fine-tuning of the cosmos for life, what forms extraterrestrial life might take, and the likelihood of life on Earth being snuffed out by an asteroid.
Max Tegmark leads us on an astonishing journey through past, present and future, and through the physics, astronomy, and mathematics that are the foundation of his work, most particularly his hypothesis that our physical reality is a mathematical structure and his theory of the ultimate multiverse. In a dazzling combination of both popular and groundbreaking science, he not only helps us grasp his often mind-boggling theories, but he also shares with us some of the often surprising triumphs and disappointments that have shaped his life as a scientist.
It’s true—you CAN do simple everyday math in your head, without a calculator! Improve your mental math skills in one week with just ten minutes of practice a day. Join The Math Dude, Jason Marshall, as he leads you through the tricky journey of mastering addition, subtraction, multiplication, division, AND percentages in your head. Whether you’re calculating the tip on a $76.85 meal or you’re frantically doing mental math in a business meeting—Math Dude has got you covered.
All our lives are constrained by limited space and time, limits that give rise to a particular set of problems. What should we do, or leave undone, in a day or a lifetime? How much messiness should we accept? What balance of new activities and familiar favorites is the most fulfilling? These may seem like uniquely human quandaries, but they are not: computers, too, face the same constraints, so computer scientists have been grappling with their version of such problems for decades.
"It doesn't take an Einstein to understand modern physics," says Professor Wolfson at the outset of these 24 lectures on what may be the most important subjects in the universe: relativity and quantum physics. Both have reputations for complexity. But the basic ideas behind them are, in fact, simple and comprehensible by anyone. These dynamic and illuminating lectures begin with a brief overview of theories of physical reality starting with Aristotle and culminating in Newtonian or "classical" physics. After that, you'll follow along as Professor Wolfson outlines the logic that led to Einstein's profound theory of special relativity and the simple yet far-reaching insight on which it rests. With that insight in mind, you'll move on to consider Einstein's theory of general relativity and its interpretation of gravitation in terms of the curvature of space and time.From there, you'll embark on a dazzling exploration of how inquiry into matter at the atomic and subatomic scales led to quandaries that are resolved-or at least clarified-by quantum mechanics, a vision of physical reality so profound and so at odds with our experience that it nearly defies language.By bringing relativity and quantum mechanics into the same picture, you'll chart the development of fascinating hypotheses about the origin, development, and possible futures of the entire universe, as well as the possibility that physics can produce a "theory of everything" to account for all aspects of the physical world. But the goal throughout these lectures remains the same: to present the key ideas of modern physics in a way that makes them clear to the interested layperson.
The Art of Learning takes listeners through Waitzkin's unique journey to excellence. He explains in clear detail how a well-thought-out, principled approach to learning is what separates success from failure. Waitzkin believes that achievement, even at the championship level, is a function of a lifestyle that fuels a creative, resilient growth process.
In How to Think: The Liberal Arts and Their Enduring Value, Professor Michael D. C. Drout gives an impassioned defense and celebration of the value of the liberal arts. Charting the evolution of the liberal arts from their roots in the educational system of Ancient Rome through the Middle Ages and to the present day, Drout shows how the liberal arts have consistently been "the tools to rule", essential to the education of the leaders of society. Offering a reasoned defense of their continuing value, Drout also provides suggestions for improving the state of the liberal arts in contemporary society.
Everyone would benefit from seeing further into the future, whether buying stocks, crafting policy, launching a new product, or simply planning the week's meals. Unfortunately, people tend to be terrible forecasters. As Wharton professor Philip Tetlock showed in a landmark 2005 study, even experts' predictions are only slightly better than chance. However, an important and underreported conclusion of that study was that some experts do have real foresight.
The aim of this audiobook is to explain, carefully but not technically, the differences between advanced, research-level mathematics, and the sort of mathematics we learn at school. The most fundamental differences are philosophical, and listeners of this audiobook will emerge with a clearer understanding of paradoxical-sounding concepts such as infinity, curved space, and imaginary numbers. The first few chapters are about general aspects of mathematical thought.
With this program, you'll have the tools, the techniques, and, just as importantly, the unflinching confidence to influence your readers and listeners decisively - both at work and at home.
Bertrand Russell's A History of Western Philosophy serves as the perfect introduction to its subject; it remains unchallenged as the greatest account of the history of Western thought. Charting philosophy's course from the pre-Socratics up to the early twentieth century, Russell relates each philosopher and school to their respective historical and cultural contexts, providing erudite commentary throughout his invaluable survey.
In the 24 engaging lectures of The Nature of Matter, no scientific background is needed to appreciate such miracles of everyday life as a bouncing rubber ball or water's astonishing power to dissolve. Moreover, the study of matter has led directly to such inventions as semiconductor circuits for computers, new fabrics for clothes, and powerful adhesives for medicine and industry.
Professor Brian Cox uncovers some of the most extraordinary natural events on Earth and in the universe and beyond. From the immensity of the universe and the roundness of Earth to the form of every single snowflake, the forces of nature shape everything we see. Pushed to extremes, the results are astonishing. In seeking to understand the everyday world, the colours, structure, behaviour and history of our home, we develop the knowledge and techniques necessary to step beyond the everyday.
From the best-selling author of Seven Brief Lessons on Physics comes a new audiobook about the mind-bending nature of the universe. What are time and space made of? Where does matter come from? And what exactly is reality? Scientist Carlo Rovelli has spent his whole life exploring these questions and pushing the boundaries of what we know. Here he explains how our image of the world has changed throughout centuries.
William Goldbloom Bloch is a respected professor of mathematics at Wheaton College. This intriguing lecture series, Mathematics Is Power, delves into both the history of mathematics and its impact on people’s everyday lives from a non-mathematician’s perspective. Bloch first examines the history of mathematics and age-old questions pertaining to logic, truth, and paradoxes. Moving on to a discussion of how mathematics impacts the modern world, Bloch also explores abstract permutations such as game theory, cryptography, and voting theory.
However this is a very good audio book if you want to know more about the general history of different branches of maths and get an overview of their concepts.
It is good for understanding the bigger picture. Less good if cannot visualise some of the concepts described. So some learners will struggle.
2 of 4 people found this review helpful
I'll begin by addressing what pertains to any reader, mathematician or not. This book is a general overview of several "flashy" topics in mathematics, as well as a superficial treatment of more base theory behind those ideas.
The reader is obviously a mathematician and his enthusiasm shows in his narration; however, because he is more mathematician than narrator, the listen can seem somewhat droning at times. That said, he does an admirable job describing complex topics in a simplified manner.
For the general reader: I feel the author's efforts to blunt the theory falls too short at times. You are often asked to visualize some very complex geometric structures that most initiates in mathematics take days or weeks to understand. The material is attainable for the layperson, but the topics are only superficially treated and true appreciation for the underlying theory will only be gained in a handful of instances.
For the mathematician: You will obviously not learn anything earth-shattering or new here; however, the alternative perspective is nice. You will find his conceptualizations sometimes a bit contrite, but some are very interesting.
11 of 12 people found this review helpful
Lecturer talks about Mathematics in a way that you can understand if you haven't taken advanced math classes, although I'm sure there will be a deeper appreciation if you have. I love math and the author did a great job explaining concepts using very interesting examples.
1 of 1 people found this review helpful
Loved it. These lectures tied together many of the concepts I studied in the 60s and 70s.
Each lecture provides a clear picture about the fundamentals of nathan in an easily understandable way.
0 of 1 people found this review helpful