# MATHEMATICAL TRIPS

Invitations, in an educational vein, to problem solving, ideas and their history, biographical snapshots, visuals, classroom capsules, undergraduate research ideas, recreations, experiments, arts and poetry, philosophical and foundational matters and connections.

## Wednesday, April 25, 2018

### Repeat a number of 3011 digits

If we repeat twice a number of 3011 digits, the resulting number is divisible by the prime number
9090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909091
(the prime factors of 10^3011+1 are 11 and the above number - MAPLE verification).

## Wednesday, February 7, 2018

### Partitions, Dyson, and Ramanujan - George Andrews

In 2013, Freeman Dyson celebrates his ninetieth birthday and also marks his sixtieth year as a Professor at the Institute for Advanced Study. Dreams of Earth and Sky, conceived by Dyson’s colleagues in the School of Natural Sciences, was an opportunity to provide a perspective on his work and impact across the sciences and humanities. Held on the Institute campus from September 27-28, the program featured a range of talks on mathematics, physics, astronomy, and public affairs that reflect both the diversity of Dyson’s interests and his ability to open new dialogues and inspire generations of scholars. https://video.ias.edu/dyson-dreams

Partitions, Dyson, and Ramanujan - George Andrews

Introduction by Peter Sarnak

Partitions, Dyson, and Ramanujan - George Andrews

Introduction by Peter Sarnak

## Friday, February 2, 2018

## Tuesday, September 19, 2017

### Mathematicians...

“Mathematicians are finite, flawed beings who spend their lives trying to understand the infinite and perfect.” (Bruce Schechter, My Brain is Open: The Mathematical Journeys of Paul Erdős)

## Friday, August 25, 2017

### Lectures on Gravity

*February 14 - 28, 2015 Winter School on Gravity and Light*

*Johannes Kepler University, Linz, Austria*

*100th anniversary of Einstein's theory of general relativity*

Great set of YouTube video lectures -

**HERE**

### Plimpton 322

Mathematical mystery of ancient Babylonian clay tablet solved - PHYS.ORG - August 24, 2017

Photo source: Plimpton 322, Babylonian tablet listing pythagorean triples - Wikimedia commons

## Sunday, August 20, 2017

### Symmetry, Algebra and the Monster - Quanta Magazine

https://www.quantamagazine.org/symmetry-algebra-and-the-monster-20170817/"Group theory in many ways epitomizes mathematical abstraction, yet it underlies some of our most familiar mathematical experiences. Let’s explore the basics of symmetries and the algebra that illuminates their structure."

Via Mathematician - Facebook

### Deep Learning book

**Deep Learning**

An MIT Press book

Authors: Ian Goodfellow, Yoshua Bengio and Aaron Courville

http://www.deeplearningbook.org/

### Turing Finance blog

http://www.turingfinance.com/ a blog on "the exciting possibilities found at the intersection of computer science and quantitative finance"

## Monday, April 17, 2017

### Forthcoming experimental/computational number theory book: Sequential Experiments with Primes (Springer 2017 - by Mihai Caragiu)

Forthcoming book:

Sequential Experiments with Primes © 2017

http://www.springer.com/us/book/9783319567617

Presents experimental and computational number theory in a new and interesting context

Offers new mathematical ideas and problems involving prime numbers and related sequences

Perfect for graduate and advanced undergraduate students studying applied and computational number theory

Due: July 26, 2017

ISBN 978-3-319-56762-4

With a specific focus on the mathematical life in small undergraduate colleges, this book presents a variety of elementary number theory insights involving sequences largely built from prime numbers and contingent number-theoretic functions. Chapters include new mathematical ideas and open problems, some of which are proved in the text. Vector valued MGPF sequences, extensions of Conway’s Subprime Fibonacci sequences, and linear complexity of bit streams derived from GPF sequences are among the topics covered in this book. This book is perfect for the pure-mathematics-minded educator in a small undergraduate college as well as graduate students and advanced undergraduate students looking for a significant high-impact learning experience in mathematics.

Mihai Caragiu is a professor of mathematics at Ohio Northern University. He is the recipient of the 2010 Outstanding Teaching Faculty Award for the Department of Mathematics and Statistics.

Sequential Experiments with Primes © 2017

http://www.springer.com/us/book/9783319567617

Presents experimental and computational number theory in a new and interesting context

Offers new mathematical ideas and problems involving prime numbers and related sequences

Perfect for graduate and advanced undergraduate students studying applied and computational number theory

Due: July 26, 2017

ISBN 978-3-319-56762-4

With a specific focus on the mathematical life in small undergraduate colleges, this book presents a variety of elementary number theory insights involving sequences largely built from prime numbers and contingent number-theoretic functions. Chapters include new mathematical ideas and open problems, some of which are proved in the text. Vector valued MGPF sequences, extensions of Conway’s Subprime Fibonacci sequences, and linear complexity of bit streams derived from GPF sequences are among the topics covered in this book. This book is perfect for the pure-mathematics-minded educator in a small undergraduate college as well as graduate students and advanced undergraduate students looking for a significant high-impact learning experience in mathematics.

Mihai Caragiu is a professor of mathematics at Ohio Northern University. He is the recipient of the 2010 Outstanding Teaching Faculty Award for the Department of Mathematics and Statistics.

## Wednesday, November 2, 2016

### The amazing Grothendieck's view on research...

Alexander Grothendieck (1928–2014)I am not really doing research, just trying to cultivate myself.

Subscribe to:
Posts (Atom)