| Softcover ISBN: | 978-1-4704-7051-7 |
| Product Code: | MBK/149 |
| List Price: | $69.00 |
| MAA Member Price: | $62.10 |
| AMS Member Price: | $55.20 |
| eBook ISBN: | 978-1-4704-7449-2 |
| Product Code: | MBK/149.E |
| List Price: | $69.00 |
| MAA Member Price: | $62.10 |
| AMS Member Price: | $55.20 |
| Softcover ISBN: | 978-1-4704-7051-7 |
| eBook: ISBN: | 978-1-4704-7449-2 |
| Product Code: | MBK/149.B |
| List Price: | $138.00 $103.50 |
| MAA Member Price: | $124.20 $93.15 |
| AMS Member Price: | $110.40 $82.80 |
| Softcover ISBN: | 978-1-4704-7051-7 |
| Product Code: | MBK/149 |
| List Price: | $69.00 |
| MAA Member Price: | $62.10 |
| AMS Member Price: | $55.20 |
| eBook ISBN: | 978-1-4704-7449-2 |
| Product Code: | MBK/149.E |
| List Price: | $69.00 |
| MAA Member Price: | $62.10 |
| AMS Member Price: | $55.20 |
| Softcover ISBN: | 978-1-4704-7051-7 |
| eBook ISBN: | 978-1-4704-7449-2 |
| Product Code: | MBK/149.B |
| List Price: | $138.00 $103.50 |
| MAA Member Price: | $124.20 $93.15 |
| AMS Member Price: | $110.40 $82.80 |
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Book Details2023; 241 ppMSC: Primary 00; 01; 03; 11; 53; 62; 68; 76; 81; 97
This book is a collection of essays written by a distinguished mathematician with a very long and successful career as a researcher and educator working in many areas of pure and applied mathematics. The author writes about everything he found exciting about math, its history, and its connections with art, and about how to explain it when so many smart people (and children) are turned off by it. The three longest essays touch upon the foundations of mathematics, upon quantum mechanics and Schrödinger's cat phenomena, and upon whether robots will ever have consciousness. Each of these essays includes some unpublished material. The author also touches upon his involvement with and feelings about issues in the larger world. The author's main goal when preparing the book was to convey how much he loves math and its sister fields.
ReadershipUndergraduate students interested in mathematics in science and society.
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Table of Contents
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Opening more eyes to mathematics
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How to get middle school students to love formulas & triangles
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Explaining Grothendieck to non-mathematicians
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Are mathematical formulas beautiful?
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The history of mathematics
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Pythagoras’s rule
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The checkered history of algebra
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Multi-culutural math history in five slides
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“Modern” art/“modern” math and the Zeitgeist
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Interlude: Intelligent design in Orion?
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AI, neuroscience, and consciousness
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Parse trees are ubiquitous in thinking
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Linking deep learning and cortical functions
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Does/can human consciousness exist in animals and robots?
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And now, some bits of real math
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Finding the rhythms of the primes
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Spaces of shapes and rogue waves
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An applied mathematician’s foundations of math
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Coming to terms with the quantum
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Quantum theory and the mysterious collapse
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Path integrals and quantum computing
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Nothing is simple in the real world
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Wake up!
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One world or many?
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Spinoza: Euclid, ethics, time
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Thoughts on the future
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Additional Material
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Reviews
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In my opinion, David Mumford's book is well worth reading, offering fascinating insights into his thinking and critically examining important aspects of mathematics. It has forced me to think deeply about things in a number of places.
Stefan Müller-Stach (University Mainz), Mathematische Semesterberichte (translated from German)
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Reviews
- Requests
This book is a collection of essays written by a distinguished mathematician with a very long and successful career as a researcher and educator working in many areas of pure and applied mathematics. The author writes about everything he found exciting about math, its history, and its connections with art, and about how to explain it when so many smart people (and children) are turned off by it. The three longest essays touch upon the foundations of mathematics, upon quantum mechanics and Schrödinger's cat phenomena, and upon whether robots will ever have consciousness. Each of these essays includes some unpublished material. The author also touches upon his involvement with and feelings about issues in the larger world. The author's main goal when preparing the book was to convey how much he loves math and its sister fields.
Undergraduate students interested in mathematics in science and society.
-
Opening more eyes to mathematics
-
How to get middle school students to love formulas & triangles
-
Explaining Grothendieck to non-mathematicians
-
Are mathematical formulas beautiful?
-
The history of mathematics
-
Pythagoras’s rule
-
The checkered history of algebra
-
Multi-culutural math history in five slides
-
“Modern” art/“modern” math and the Zeitgeist
-
Interlude: Intelligent design in Orion?
-
AI, neuroscience, and consciousness
-
Parse trees are ubiquitous in thinking
-
Linking deep learning and cortical functions
-
Does/can human consciousness exist in animals and robots?
-
And now, some bits of real math
-
Finding the rhythms of the primes
-
Spaces of shapes and rogue waves
-
An applied mathematician’s foundations of math
-
Coming to terms with the quantum
-
Quantum theory and the mysterious collapse
-
Path integrals and quantum computing
-
Nothing is simple in the real world
-
Wake up!
-
One world or many?
-
Spinoza: Euclid, ethics, time
-
Thoughts on the future
-
In my opinion, David Mumford's book is well worth reading, offering fascinating insights into his thinking and critically examining important aspects of mathematics. It has forced me to think deeply about things in a number of places.
Stefan Müller-Stach (University Mainz), Mathematische Semesterberichte (translated from German)
