
Number Theory: A Very Short Introduction
Very Short Introductions
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Narrated by:
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Al Kessel
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By:
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Robin Wilson
About this listen
Number theory is the branch of mathematics that is primarily concerned with the counting numbers. Of particular importance are the prime numbers, the "building blocks" of our number system. The subject is an old one, dating back over two millennia to the ancient Greeks, and for many years has been studied for its intrinsic beauty and elegance, not least because several of its challenges are so easy to state that everyone can understand them, and yet no one has ever been able to resolve them.
But number theory has also recently become of great practical importance - in the area of cryptography, where the security of your credit card, and indeed of the nation's defense, depends on a result concerning prime numbers that dates back to the 18th century. Recent years have witnessed other spectacular developments, such as Andrew Wiles's proof of "Fermat's last theorem" (unproved for over 250 years) and some exciting work on prime numbers. In this Very Short Introduction, Robin Wilson introduces the main areas of classical number theory, both ancient and modern. Drawing on the work of many of the greatest mathematicians of the past, such as Euclid, Fermat, Euler, and Gauss, he situates some of the most interesting and creative problems in the area in their historical context.
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"Correlation does not imply causation". This mantra has been invoked by scientists for decades and has led to a virtual prohibition on causal talk. But today, that taboo is dead. The causal revolution, sparked by Judea Pearl and his colleagues, has cut through a century of confusion and placed causality - the study of cause and effect - on a firm scientific basis.
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Great book! Not a great audiobook.
- By rrwright on 05-30-18
By: Judea Pearl, and others
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The King of Infinite Space
- Euclid and His Elements
- By: David Berlinski
- Narrated by: Arthur Morey
- Length: 3 hrs and 54 mins
- Unabridged
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Overall
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Performance
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Story
Geometry defines the world around us, helping us make sense of everything from architecture to military science to fashion. And for over 2,000 years, geometry has been equated with Euclid's Elements, arguably the most influential book in the history of mathematics. In The King of Infinite Space, renowned mathematics writer David Berlinski provides a concise homage to this elusive mathematician and his staggering achievements.
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Funniest Highest and Fullest math overview
- By Francisco Garcia on 12-12-22
By: David Berlinski
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Infinite Powers
- How Calculus Reveals the Secrets of the Universe
- By: Steven Strogatz
- Narrated by: Bob Souer
- Length: 10 hrs and 41 mins
- Unabridged
-
Overall
-
Performance
-
Story
Infinite Powers recounts how calculus tantalized and thrilled its inventors, starting with its first glimmers in ancient Greece and bringing us right up to the discovery of gravitational waves. Strogatz reveals how this form of math rose to the challenges of each age: how to determine the area of a circle with only sand and a stick; how to explain why Mars goes "backwards" sometimes; how to turn the tide in the fight against AIDS.
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Not written to be read aloud
- By A Reader in Maine on 02-21-20
By: Steven Strogatz
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The Invention of Science
- A New History of the Scientific Revolution
- By: David Wootton
- Narrated by: James Langton
- Length: 22 hrs and 5 mins
- Unabridged
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Overall
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Performance
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Story
In this fascinating history spanning continents and centuries, historian David Wootton offers a lively defense of science, revealing why the Scientific Revolution was truly the greatest event in our history. The Invention of Science goes back 500 years in time to chronicle this crucial transformation, exploring the factors that led to its birth and the people who made it happen. Wootton argues that the Scientific Revolution was actually five separate yet concurrent events that developed independently.
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A Good Read Spoiled
- By David A. Donnelly on 12-23-16
By: David Wootton
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The Intelligent Web
- Search, Smart Algorithms, and Big Data
- By: Gautam Shroff
- Narrated by: Neil Shah
- Length: 10 hrs and 42 mins
- Unabridged
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Overall
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Performance
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Story
As we use the Web for social networking, shopping, and news, we leave a personal trail. These days, linger over a Web page selling lamps, and they will turn up at the advertising margins as you move around the Internet, reminding you, tempting you to make that purchase. Search engines such as Google can now look deep into the data on the Web to pull out instances of the words you are looking for. And there are pages that collect and assess information to give you a snapshot of changing political opinion.
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Great book for learning about Deep learning
- By Darkpassenger on 04-16-15
By: Gautam Shroff
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When Einstein Walked with Gödel
- Excursions to the Edge of Thought
- By: Jim Holt
- Narrated by: David Stifel
- Length: 15 hrs and 19 mins
- Unabridged
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Overall
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Performance
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Story
Does time exist? What is infinity? Why do mirrors reverse left and right but not up and down? In this scintillating collection, Holt explores the human mind, the cosmos, and the thinkers who’ve tried to encompass the latter with the former. With his trademark clarity and humor, Holt probes the mysteries of quantum mechanics, the quest for the foundations of mathematics, and the nature of logic and truth. Along the way, he offers intimate biographical sketches of celebrated and neglected thinkers, from the physicist Emmy Noether to the computing pioneer Alan Turing and the discoverer of fractals, Benoit Mandelbrot.
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A good overview of scientific theory
- By MJ Walters on 09-11-18
By: Jim Holt
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Intuition Pumps and Other Tools for Thinking
- By: Daniel C. Dennett
- Narrated by: Jeff Crawford
- Length: 13 hrs and 22 mins
- Unabridged
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Overall
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Performance
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Story
Over a storied career, Daniel C. Dennett has engaged questions about science and the workings of the mind. His answers have combined rigorous argument with strong empirical grounding. And a lot of fun. Intuition Pumps and Other Tools for Thinking offers seventy-seven of Dennett’s most successful “imagination-extenders and focus-holders” meant to guide you through some of life’s most treacherous subject matter: evolution, meaning, mind, and free will.
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Loved it, but some philosophy background needed.
- By LongerILiveLessIKnow on 11-14-13
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The Master Algorithm
- How the Quest for the Ultimate Learning Machine Will Remake Our World
- By: Pedro Domingos
- Narrated by: Mel Foster
- Length: 13 hrs and 3 mins
- Unabridged
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Overall
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Performance
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Story
Under the aegis of machine learning in our data-driven machine age, computers are programming themselves and learning about - and solving - an extraordinary range of problems, from the mundane to the most daunting. Today it is machine learning programs that enable Amazon and Netflix to predict what users will like, Apple to power Siri's ability to understand voices, and Google to pilot cars.
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Great book, irritating narration
- By N. G. PEPIN on 09-24-15
By: Pedro Domingos
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To Explain the World
- The Discovery of Modern Science
- By: Steven Weinberg
- Narrated by: Tom Perkins
- Length: 10 hrs and 43 mins
- Unabridged
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Overall
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Performance
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Story
In this rich, irreverent, and compelling history, Nobel Prize-winning physicist Steven Weinberg takes us across centuries, from ancient Miletus to medieval Baghdad and Oxford, from Plato's Academy and the Museum of Alexandria to the cathedral school of Chartres and the Royal Society of London. He shows that the scientists of ancient and medieval times not only did not understand what we understand about the world--they did not understand what there is to understand or how to understand it.
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How the world created a Newton
- By Gary on 03-02-15
By: Steven Weinberg
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Euclid's Window
- The Story of Geometry from Parallel Lines to Hyperspace
- By: Leonard Mlodinow
- Narrated by: Robert Blumenfeld
- Length: 8 hrs and 13 mins
- Unabridged
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Overall
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Performance
-
Story
Through Euclid's Window Leonard Mlodinow brilliantly and delightfully leads us on a journey through five revolutions in geometry, from the Greek concept of parallel lines to the latest notions of hyperspace. Here is an altogether new, refreshing, alternative history of math revealing how simple questions anyone might ask about space -- in the living room or in some other galaxy -- have been the hidden engine of the highest achievements in science and technology.
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Wow!
- By Eric on 08-13-10
By: Leonard Mlodinow
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Numbers are integral to our everyday lives and factor into almost everything we do. In this Very Short Introduction audiobook, Peter M. Higgins, a renowned popular-science writer, unravels the world of numbers, demonstrating its richness and providing an overview of all the number types that feature in modern science and mathematics.
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Better as a physical book
- By LJLee on 01-08-25
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The Joy of x
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Great listen
- By cameron on 08-16-19
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Geometry
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Um, where's the PDF? No? So, where's the refund?
- By Nelson Alexander on 01-21-23
By: Maciej Dunajski
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Mathematics
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- By: Timothy Gowers
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The aim of this book 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 book 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.
By: Timothy Gowers
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Political Philosophy
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- By: David Miller
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This Very Short Introduction introduces listeners to the key concepts of political philosophy: authority, democracy, freedom and its limits, justice, feminism, multiculturalism, and nationality. Accessible and assuming no previous knowledge of the subject, it encourages the listener to think clearly and critically about the leading political questions of our time. Miller first investigates how political philosophy tackles basic ethical questions such as "how should we live together in society?"
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starts great, well written, very informative but
- By Jonas S. de Almeida on 03-30-22
By: David Miller
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Causal Inference
- MIT Press Essential Knowledge Series
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Causal Inference provides a brief and nontechnical introduction to randomized experiments, propensity scores, natural experiments, instrumental variables, sensitivity analysis, and quasi-experimental devices. Ideas are illustrated with examples from medicine, epidemiology, economics and business, the social sciences, and public policy.
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Not appropriate for audible and the reader don’t know how to read math
- By Anonymous User on 08-01-24
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Numbers
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Better as a physical book
- By LJLee on 01-08-25
By: Peter M. Higgins
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The Joy of x
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Many people take math in high school and promptly forget much of it. But math plays a part in all of our lives all of the time, whether we know it or not. In The Joy of x, Steven Strogatz expands on his hit New York Times series to explain the big ideas of math gently and clearly, with wit, and insight.
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Great listen
- By cameron on 08-16-19
By: Steven Strogatz
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Geometry
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- Narrated by: Liam Gerrard
- Length: 4 hrs and 40 mins
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The study of geometry is at least 2500 years old, and it is within this field that the concept of mathematical proof first arose. To this day geometry remains a very active area of research in mathematics. This Very Short Introduction covers the areas of mathematics falling under geometry, starting with topics such as Euclidean and non-Euclidean geometries, and ranging to curved spaces, projective geometry in Renaissance art, and geometry of space-time inside a black hole. Throughout, Maciej Dunajski outlines the role geometry plays in the broader context of science and art.
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Um, where's the PDF? No? So, where's the refund?
- By Nelson Alexander on 01-21-23
By: Maciej Dunajski
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Mathematics
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starts great, well written, very informative but
- By Jonas S. de Almeida on 03-30-22
By: David Miller
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Causal Inference
- MIT Press Essential Knowledge Series
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Causal Inference provides a brief and nontechnical introduction to randomized experiments, propensity scores, natural experiments, instrumental variables, sensitivity analysis, and quasi-experimental devices. Ideas are illustrated with examples from medicine, epidemiology, economics and business, the social sciences, and public policy.
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Not appropriate for audible and the reader don’t know how to read math
- By Anonymous User on 08-01-24
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A Tour of the Calculus
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- Narrated by: Dennis Holland
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Were it not for the calculus, mathematicians would have no way to describe the acceleration of a motorcycle or the effect of gravity on thrown balls and distant planets, or to prove that a man could cross a room and eventually touch the opposite wall. Just how calculus makes these things possible and in doing so finds a correspondence between real numbers and the real world is the subject of this dazzling book by a writer of extraordinary clarity and stylistic brio.
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Top Poet among Mathemeticians
- By Kindle Customer on 05-27-14
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Euclid's Window
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Through Euclid's Window Leonard Mlodinow brilliantly and delightfully leads us on a journey through five revolutions in geometry, from the Greek concept of parallel lines to the latest notions of hyperspace. Here is an altogether new, refreshing, alternative history of math revealing how simple questions anyone might ask about space -- in the living room or in some other galaxy -- have been the hidden engine of the highest achievements in science and technology.
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Wow!
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Infinite Powers
- How Calculus Reveals the Secrets of the Universe
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Not written to be read aloud
- By A Reader in Maine on 02-21-20
By: Steven Strogatz
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Fractals
- A Very Short Introduction
- By: Kenneth Falconer
- Narrated by: Jason Huggins
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From the contours of coastlines to the outlines of clouds, and the branching of trees, fractal shapes can be found everywhere in nature. In this Very Short Introduction, Kenneth Falconer explains the basic concepts of fractal geometry, which produced a revolution in our mathematical understanding of patterns in the 20th century, and explores the wide range of applications in science, and in aspects of economics.
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I have always been skeptical of Fractals
- By Duane Guthrie on 09-29-24
By: Kenneth Falconer
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Logic
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Performance
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Logic is often perceived as having little to do with the rest of philosophy, and even less to do with real life. In this lively and accessible introduction, Graham Priest shows how wrong this conception is. He explores the philosophical roots of the subject, explaining how modern formal logic deals with issues ranging from the existence of God and the reality of time to paradoxes of probability and decision theory. Along the way, the basics of formal logic are explained in simple, non-technical terms, showing that logic is a powerful and exciting part of modern philosophy.
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A bit disappointing.
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Foucault (2nd Edition)
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- By: Gary Gutting
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Overall
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Performance
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In this Very Short Introduction audiobook, Gary Gutting presents a wide-ranging but nonsystematic exploration of some highlights of Foucault's life and thought. Beginning with a brief biography to set the social and political stage, he then tackles Foucault's thoughts on literature, in particular the avant-garde scene; his philosophical and historical work; his treatment of knowledge and power in modern society; and his thoughts on sexuality.
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VSI # 122
- By Darwin8u on 10-29-24
By: Gary Gutting