Softcover ISBN:  9781470470517 
Product Code:  MBK/149 
List Price:  $69.00 
MAA Member Price:  $62.10 
AMS Member Price:  $55.20 
eBook ISBN:  9781470474492 
Product Code:  MBK/149.E 
List Price:  $69.00 
MAA Member Price:  $62.10 
AMS Member Price:  $55.20 
Softcover ISBN:  9781470470517 
eBook: ISBN:  9781470474492 
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:  9781470470517 
Product Code:  MBK/149 
List Price:  $69.00 
MAA Member Price:  $62.10 
AMS Member Price:  $55.20 
eBook ISBN:  9781470474492 
Product Code:  MBK/149.E 
List Price:  $69.00 
MAA Member Price:  $62.10 
AMS Member Price:  $55.20 
Softcover ISBN:  9781470470517 
eBook ISBN:  9781470474492 
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 

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 Each of these essays includes some unpublished material.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.

Table of Contents

Opening more eyes to mathematics

How to get middle school students to love formulas & triangles

Explaining Grothendieck to nonmathematicians

Are mathematical formulas beautiful?

The history of mathematics

Pythagoras’s rule

The checkered history of algebra

Multiculutural 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


Additional Material

Reviews

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 MüllerStach (University Mainz), Mathematische Semesterberichte (translated from German)


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 Book Details
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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 nonmathematicians

Are mathematical formulas beautiful?

The history of mathematics

Pythagoras’s rule

The checkered history of algebra

Multiculutural 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 MüllerStach (University Mainz), Mathematische Semesterberichte (translated from German)