A Brief History Of Mathematics
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A Brief History Of Mathematics by Marcus du Sautoy | Free Audiobook

By Marcus du Sautoy

Narrated by Marcus du Sautoy

🎧 2 hours and 13 minutes 📘 BBC Digital Audio 📅 October 6, 2020 🌐 English
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About This Audiobook

This ten-part history of mathematics reveals the personalities behind the calculations: the passions and rivalries of mathematicians struggling to get their ideas heard. Professor Marcus du Sautoy shows how these masters of abstraction find a role in the real world and proves that mathematics is the driving force behind modern science.

He explores the relationship between Newton and Leibniz, the men behind the calculus; looks at how the mathematics that Euler invented 200 years ago paved the way for the internet and discovers how Fourier transformed our understanding of heat, light and sound. In addition, he finds out how Galois’ mathematics describes the particles that make up our universe, how Gaussian distribution underpins modern medicine, and how Riemann’s maths helped Einstein with his theory of relativity. Finally, he introduces Cantor, who discovered infinite numbers; Poincaré, whose work gave rise to chaos theory; G.H. Hardy, whose work inspired the millions of codes that help to keep the internet safe, and Nicolas Bourbaki, the mathematician who never was.

The BBC Radio 4 series looking at the people who shaped modern mathematics, written and presented by Marcus du Sautoy.

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Quick Take

  • Narration: Marcus du Sautoy narrates his own material with the ease of a practiced radio presenter, authoritative, never dry, and genuinely excited about his subjects.
  • Themes: Mathematical biography, the human cost of abstraction, how theory becomes technology
  • Mood: Brisk and illuminating, like ten very good university lectures packed into an afternoon
  • Verdict: A rare short-form listen that leaves you with an actual map of mathematical history rather than a vague sense of wonder.

I was on a long train journey when I queued this one up, half expecting to drift off somewhere around Euler. Two hours and thirteen minutes later, I was still alert and slightly annoyed the series only had ten episodes. Marcus du Sautoy’s A Brief History of Mathematics began life as a BBC Radio 4 series, and the audio format is not an adaptation of something designed for the page. It was built for listening, and that origin shows in every clean, unhurried segment.

The premise is elegant. Rather than sweeping through centuries of results in chronological order, du Sautoy organizes each episode around a single mathematician, using that person’s work as a window into the ideas and stakes of their era. The result is biographical and technical in equal measure, which is a difficult balance to hold. Du Sautoy holds it.

Ten Mathematicians, Ten Windows Into Something Larger

The range here is genuinely impressive. Newton and Leibniz get the calculus episode you would expect, but du Sautoy is more interested in the personal bitterness of their priority dispute than in the mathematics itself, using the human drama as a hook before pulling back to explain what calculus actually did for science. Euler appears not as a symbol of prolific output but as the man whose work on networks and topology quietly paved the way for the internet. Fourier’s transformation of how we understand heat, light, and sound is framed around a career that nearly ended in revolutionary France.

The most surprising episodes are the later ones. Galois, who died in a duel at twenty, developed the group theory that now describes the fundamental particles of matter. Riemann’s geometric thinking gave Einstein the language for general relativity. Cantor’s discovery that there are different sizes of infinity broke mathematical logic for a generation and nearly broke Cantor himself. These are not abstract facts. Du Sautoy treats each of them as chapters in a human story, and the effect is cumulative. The episode on G.H. Hardy, whose work on number theory underlies the encryption protocols that keep internet transactions secure, is particularly striking: a man who believed pure mathematics had no practical applications turned out to have laid the ground for the most applied technology of the twenty-first century.

The Pleasure of a Subject Narrating Himself

There are audio productions where an author-narrator is a liability, all self-consciousness and flat delivery. Du Sautoy is the opposite. He is the Simonyi Professor for the Public Understanding of Science at Oxford, and his years of public lecturing show. He knows where to slow down, where a pause earns its keep, and where enthusiasm serves the material without becoming breathless. When he describes Poincare’s work giving rise to chaos theory, there is a quality of genuine delight in his voice that no hired narrator could manufacture because it comes from decades of living with these ideas.

One reviewer described it as a pleasant way to learn about famous mathematicians, which is accurate but undersells what is happening here. The mathematics is not window dressing for biography. The biography is the delivery system for ideas that are genuinely strange and beautiful. Du Sautoy keeps both plates spinning throughout, and the listener who enters suspicious of mathematics as a subject worth caring about tends to exit having updated that position.

What the Running Time Does and Does Not Allow

At just over two hours, this is not a comprehensive survey. Each episode is roughly thirteen minutes, which means that entire fields get a single paragraph and entire careers are compressed into an anecdote. This is a feature, not a bug, for the right listener. If you want depth on any of these figures, the series points toward the door rather than walking you through it. Nicolas Bourbaki, the collective mathematical identity who never existed, is introduced as a punchline that doubles as a serious point about mathematical abstraction. The series trusts you to follow the thread.

For listeners who already have some mathematical background, the brevity might feel like a tease. For general listeners who have always found the history of science more approachable than the science itself, this is close to an ideal entry point. The fact that one reviewer found it free on a podcast app speaks to the series’ original life as public radio content. The Audible production wraps it in clean audio with no material additions.

The Right Listening Posture for This Series

This series is short enough to finish in a single sitting and structured enough to reward that approach, each episode builds lightly on the previous one, and listening in sequence matters. Skip around and you lose the accumulating sense of how mathematical ideas feed each other across centuries. Anyone who was moderately interested in mathematics at school but lost the thread later will find this a gratifying reconnection. It also works well as a companion piece to popular science reading, placing figures like Einstein and Bohr in their mathematical context rather than treating the mathematics as background noise to a more accessible physics story.

Frequently Asked Questions

Do you need a strong mathematics background to follow A Brief History of Mathematics?

No. Du Sautoy keeps the technical content accessible throughout, focusing on what ideas meant and what they made possible rather than how to perform the calculations. A general curiosity about science and history is sufficient.

Is this an Audible Original or a pre-existing BBC production?

It originated as a BBC Radio 4 series. The Audible release is essentially the broadcast audio in a clean production. There are no additional materials or extended episodes beyond what aired on radio.

At just over two hours, is this long enough to justify the listen?

That depends entirely on what you want from it. As a survey and orientation, two hours is ideal. If you want a deep exploration of any single mathematician covered, you will want to follow up with dedicated biographies. Think of it as a very well-made map rather than a journey.

How does du Sautoy handle the episode on Cantor and infinite numbers, given how abstract the concept is?

He approaches it through Cantor’s personal crisis as much as through the mathematics, which makes the strangeness of infinite sets feel grounded in human consequence. The episode is one of the most memorable in the series precisely because the abstract stakes are translated into something emotionally legible.

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What Listeners Are Saying

★★★★★

Very interesting.

I really enjoyed the story. Makes you wonder.

– Luis Colosio
★★★★★

It's great, I just wish there were more

I found this available for free on the podcast app on my phone. It's great, I just wish there were more.

– Mayflower
★★★★★

Five Stars

Everything you could want from a historical survey; accessible and engaging. Will be revisiting this one.

– Gregory Whitcher
★★★★★

Sound

– Paulbloggs
★★★★☆

leaning about mathematians the easy way

A pleasant way to learn a little about some famouse mathematians and the maths that they influencedwell worth the listening

– CatNan

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Alexandra Reed

Written by Alexandra Reed

Founder & Literary Critic