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Why Machines Learn: The Elegant Math Behind Modern AI Hardcover – July 16, 2024

4.5 4.5 out of 5 stars 82 ratings

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A rich, narrative explanation of the mathematics that has brought us machine learning and the ongoing explosion of artificial intelligence

Machine learning systems are making life-altering decisions for us: approving mortgage loans, determining whether a tumor is cancerous, or deciding if someone gets bail. They now influence developments and discoveries in chemistry, biology, and physics—the study of genomes, extrasolar planets, even the intricacies of quantum systems. And all this before large language models such as ChatGPT came on the scene.

We are living through a revolution in machine learning-powered AI that shows no signs of slowing down. This technology is based on relatively simple mathematical ideas, some of which go back centuries, including linear algebra and calculus, the stuff of seventeenth- and eighteenth-century mathematics. It took the birth and advancement of computer science and the kindling of 1990s computer chips designed for video games to ignite the explosion of AI that we see today. In this enlightening book, Anil Ananthaswamy explains the fundamental math behind machine learning, while suggesting intriguing links between artificial and natural intelligence. Might the same math underpin them both?

As Ananthaswamy resonantly concludes, to make safe and effective use of artificial intelligence, we need to understand its profound capabilities and limitations, the clues to which lie in the math that makes machine learning possible.

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Editorial Reviews

Review

A Next Big Idea Club Must-Read Title for July

Why Machines Learn, by the award-winning science writer Anil Ananthaswamy, takes the reader on an entertaining journey into the mind of a machine… [The book] demystifies the underlying mechanisms behind machine learning, which may possibly lead to a better understanding of the learning process itself and the development of improved AI.”
Physics World

“A skillful primer makes sense of the mathematics beneath AI's hood.”
New Scientist

“Whether Ananthaswamy is talking of ML algorithms or manipulation of matrices, he maintains a lightness of language and invokes historical accounts to advance a compelling narrative… A must-read for anyone who is curious to understand "the elegant math behind modern AI" [and] an inspirational guide for teachers of math and mathematical sciences who can adopt these techniques and methods to make classrooms lively.”
Shaastra, IIT-Madras

“Some books about the development of neural networks describe the underlying mathematics while others describe the social history. This book presents the mathematics in the context of the social history. It is a masterpiece. The author is very good at explaining the mathematics in a way that makes it available to people with only a rudimentary knowledge of the field, but he is also a very good writer who brings the social history to life.”
Geoffrey Hinton, deep learning pioneer, Turing Award winner, former VP at Google, and Professor Emeritus at University of Toronto

“After just a few minutes of reading
Why Machines Learn, you’ll feel your own synaptic weights getting updated. By the end you will have achieved your own version of deep learning—with deep pleasure and insight along the way.”
Steven Strogatz, New York Times bestselling author of Infinite Powers and professor of mathematics at Cornell University

“If you were looking for a way to make sense of the AI revolution that is well underway, look no further. With this comprehensive yet engaging book, Anil Ananthaswamy puts it all into context, from the origin of the idea and its governing equations to its potential to transform medicine, quantum physics—and virtually every aspect of our life. An essential read for understanding both the possibilities and limitations of artificial intelligence.”
Sabine Hossenfelder, physicist and New York Times bestselling author of Existential Physics: A Scientist's Guide to Life's Biggest Questions

Why Machines Learn is a masterful work that explains—in clear, accessible, and entertaining fashion—the mathematics underlying modern machine learning, along with the colorful history of the field and its pioneering researchers.  As AI has increasingly profound impacts in our world, this book will be an invaluable companion for anyone who wants a deep understanding of what’s under the hood of these often inscrutable machines.”
Melanie Mitchell, author of Artificial Intelligence and Professor at the Santa Fe Institute

“Generative AI, with its foundations in machine learning, is as fundamental an advance as the creation of the microprocessor, the Internet, and the mobile phone. But almost no one, outside of a handful of specialists, understands how it works.  Anil Ananthaswamy has removed the mystery by giving us a gentle, intuitive, and human-oriented introduction to the math that underpins this revolutionary development.”
Peter E. Hart, AI pioneer, entrepreneur, and co-author of Pattern Classification

“Anil Ananthaswamy’s
Why Machines Learn embarks on an exhilarating journey through the origins of contemporary machine learning. With a captivating narrative, the book delves into the lives of influential figures driving the AI revolution while simultaneously exploring the intricate mathematical formalism that underpins it. As Anil traces the roots and unravels the mysteries of modern AI, he gently introduces the underlying mathematics, rendering the complex subject matter accessible and exciting for readers of all backgrounds.”
Björn Ommer, Professor at the Ludwig Maximilian University of Munich and leader of the original team behind Stable Diffusion

“An inspiring introduction to the mathematics of AI.”
Arthur I. Miller, author of The Artist in the Machine: The World of AI-Powered Creativity

“[An] illuminating overview of how machine learning works.”
Kirkus Reviews

About the Author

Anil Ananthaswamy is an award-winning science writer and a former staff writer and deputy news editor for New Scientist. He is the author of several popular science books, including The Man Who Wasn’t There, which was longlisted for the PEN/E. O. Wilson Literary Science Writing Award. He was a 2019-20 MIT Knight Science Journalism Fellow and the recipient of the Distinguished Alum Award, the highest award given by IIT Madras to its graduates, for his contributions to science writing.

Product details

  • Publisher ‏ : ‎ Dutton (July 16, 2024)
  • Language ‏ : ‎ English
  • Hardcover ‏ : ‎ 480 pages
  • ISBN-10 ‏ : ‎ 0593185749
  • ISBN-13 ‏ : ‎ 978-0593185742
  • Item Weight ‏ : ‎ 2.31 pounds
  • Dimensions ‏ : ‎ 6.2 x 1.52 x 9.24 inches
  • Customer Reviews:
    4.5 4.5 out of 5 stars 82 ratings

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Anil Ananthaswamy
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ANIL ANANTHASWAMY is former deputy news editor and current consultant for New Scientist. He is a guest editor at UC Santa Cruz’s science-writing program and teaches an annual science journalism workshop at the National Centre for Biological Sciences in Bangalore, India. He is a freelance feature editor for the Proceedings of the National Academy of Science’s “Front Matter” and has written for National Geographic News, Discover, and Matter. He has been a columnist for PBS NOVA’s The Nature of Reality blog. He won the UK Institute of Physics’ Physics Journalism award and the British Association of Science Writers’ award for Best Investigative Journalism. His first book, The Edge of Physics, was voted book of the year in 2010 by Physics World.

Customer reviews

4.5 out of 5 stars
82 global ratings

Customers say

Customers find the book informative, entertaining, and worthwhile. They say it touches on interesting pieces of math and asks good questions about the nature of intelligence. Readers also appreciate the compelling storytelling and personal writing style.

AI-generated from the text of customer reviews

5 customers mention "Information quality"5 positive0 negative

Customers find the book informative, entertaining, and worthwhile. They say it touches on some interesting pieces of math that many newer people in the field don't know. Readers also appreciate the author's good questions about the nature of intelligence and how AI works. They mention the book provides a great look into the story of machine learning and a good approach to its math.

"...It's not too technical but also touches on some interesting pieces of math that many newer people in the field might have missed...." Read more

"...It's informative, entertaining, enriching, and worthwhile. No part of this book gets stale. It's a real win." Read more

"...me I found the historical aspect greatly simplified and aided my mathematical understanding...." Read more

"...Finally he asks very good questions about the nature of intelligence and how AI does or does not overlap with human intelligence, and well as the..." Read more

3 customers mention "Storytelling"3 positive0 negative

Customers find the philosophical aspects of the book wrapped in compelling storytelling. They say the history part is written in a very personal and engaging way.

"...methods and SVMs etc, but that section of the book was actually quite exciting and gave me more appreciation for this part of the field, for..." Read more

"...And, it's incredible because of that.It's a wonderfully-written narrative of the history of the people and their thought processes for..." Read more

"...That's the history part, written in a very personal and engaging way that only a good writer can do...." Read more

Top reviews from the United States

Reviewed in the United States on September 7, 2024
This is essentially a brief history of machine learning. It's not too technical but also touches on some interesting pieces of math that many newer people in the field might have missed. I particularly liked the details about some of the people who made discoveries along the way, including some that I didn't know about; the biographical details are nice here. I've never been a fan of kernel methods and SVMs etc, but that section of the book was actually quite exciting and gave me more appreciation for this part of the field, for example.

Highly recommended!
Reviewed in the United States on August 5, 2024
It is not clear who is supposed to be the reader of this book. It explains the mathematics, starting with essential calculus, and goes on to the formulas of deep learning. It is too tricky for readers unfamiliar with calculus and redundant to those familiar with it. I mainly enjoyed reading the last chapter about the current challenges of deep learning.
15 people found this helpful
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Reviewed in the United States on September 3, 2024
I'm an engineer with experience in machine learning, so I purchased this book as a refresher on some of the milestones of our industry, thinking it would be a rundown of the major algorithms and proofs of how we got here. IT'S SO MUCH MORE THAN THAT. And, it's incredible because of that.

It's a wonderfully-written narrative of the history of the people and their thought processes for developing the core ideas and then implementing them mathematically to bring about the practice of ML.

It's informative, entertaining, enriching, and worthwhile. No part of this book gets stale. It's a real win.
7 people found this helpful
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Reviewed in the United States on September 29, 2024
"Why Machines Learn"- is the book that finally clicked for me after two years of fumbling through Generative AI’s conceptual, software and mathematical maze (I seldom review books but this book merits it)

I’ve been hooked on the wonders of conversational Generative AI, both its productivity and knowledge boosts using LLMs and Chatbots such as ChatGPT (granted watchful of probabilisitic hallucinations) , but the math? Not so much.

My rusty dated college math tended to hold me back until this book cleared things up—historical context and all. Somewhat surprisingly to me I found the historical aspect greatly simplified and aided my mathematical understanding.

I’ll admit, I had to utilize AI chatbot assistants for backup a few times and also I purchased the audio book as well to refresh my prior readings, but that’s part of the fun, right?

If you’re curious about what makes machines learn and aren’t afraid to dust off some math, this book is your guide!
2 people found this helpful
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Reviewed in the United States on July 19, 2024
Anil's storytelling added human faces to many names I was already familiar with, but only in an abstract way. That's the history part, written in a very personal and engaging way that only a good writer can do. At the same time the history of the development of ML theory is complete and expounded upon in enough detail that anyone with college level math abilities could follow along if so desired. (I expect many will skip some of those parts either because they know it or they don't need to know it. Perhaps those sections could be better sectioned to enable skipping.) Finally he asks very good questions about the nature of intelligence and how AI does or does not overlap with human intelligence, and well as the dangers it poses and benefits it may offer.
The way the author maintains the big picture while leading the reader through a "live" minute-by-minute narration of compelling details reminds me of the style of VS Naipal, despite being a completely different genre.
8 people found this helpful
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Reviewed in the United States on September 8, 2024
Great look into the story of machine learning and a good approach to it's math. Must haves for coders and mathmatiscisans interested in the fantastical world of AI
Reviewed in the United States on September 3, 2024
Love it, thank you
Reviewed in the United States on August 24, 2024
I am doing a CalTech course on ML and AI, and I found this book to be a very good primer on the math behind the magic of packages such as TensorFlow, Pandas and Keras.

Ananthaswamy provides a history of the development of the field intertwined with the math in a way that provides a grounded, contextual understanding of what is going on. While the concepts are sophisticated, at no point did I feel lost or uninterested.

Anybody who has completed high school Precalculus should be able to handle most of the math in the book, with careful reading.

Really cannot recommend this book highly enough - it really is excellent.
3 people found this helpful
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Top reviews from other countries

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Peter Lappo
5.0 out of 5 stars A very accessible introduction to machine learning maths
Reviewed in the United Kingdom on September 18, 2024
Anil's book is a perfect introduction into machine learning (ML) maths for anyone who wants to start a journey reading more advanced ML books or papers with only high school maths. It starts with the basics and charts the history of how ML maths has evolved since the perceptron in 1943. Anil provides a lot of intuition behind the maths which is vital for a deeper understanding of the maths.

Since I read Anil's book I've started reading Kevin Murphy's Probabilistic Machine Learning: An Introduction and I have to say it would have been impossible to get past chapter one without Anil's excellent introduction.
S. Herrmann
4.0 out of 5 stars Cool stuff
Reviewed in Germany on September 9, 2024
Though sometimes the simplification goes a step too far for my taste, the book does a good job to allow a look “under the hood” of Machine Learning. Like it, and it’s already ready by the next interested family member.
Great book. Must read
5.0 out of 5 stars Must read book
Reviewed in India on August 30, 2024
This is a brilliant book
Amazon Customer
4.0 out of 5 stars Recommended for the highly curious with technical aptitude.
Reviewed in Canada on September 17, 2024
I am reading this as a reader decades removed from University courses in multivariable calculus and linear algebra, but those faint memories are enough to get you through this fascinating book. It covers and reintroduces concepts in a very friendly and straightforward tone and the author is an excellent communicator of complex topics. If you’ve never been exposed to machine learning, you’ll be taken on a ride to explore perceptrons, k-nearest neighbours, PCA, and deep neural networks along with some equations and charts and lucidly written history that situates the motivation for these beautiful results. This book is a great way for people interested in going deeper into machine learning as a beginner as it will provide the background info that a good advisor may give. Recommended for the highly curious with technical aptitude.
mike
1.0 out of 5 stars Mathematisch furchtbar
Reviewed in Germany on October 25, 2024
Das Buch soll Freude an Mathematik vermitteln, mit der dann Themen der modernen Welt im Bereich KI erklärt werden. Wie Maschinen lernen kann man tatsächlich nur mit Mathematik vernünftig verstehen. Wenn dann aber in einem Buch die mathematische Symbolik so dermaßen verkehrt ist, dass man ganz klar der Meinung sein muss, dass weder der Autor noch ein Lektor noch sonst jemand vom Verlag die geringste Ahnung von Mathematik hat, dann ist das wirklich furchtbar So werden Indizes als große Zahlen daneben geschrieben und in Skizzen gibt es ganz andere Schreibweisen als im dazugehörigen Text. Das ist wirklich grausam. Hat der Autor noch nie wirklich Mathematik betrieben oder ist ihm LaTeX unbekannt?