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The basso continuo of these essays is Euclid’s algorithm. The author wants readers to discover that almost every page contains the algorithm either visibly or implicitly or in disguised forms. Readers should eventually be amazed that the algorithm is so simple yet deep and strong. Moving to the study of higher algebraic structures, readers will perceive […]
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Despite having been alive for more than three centuries the classical N-body problem remainsalive and well! In this book I demonstrate its vibrancy by exploring four open questions within the problem. The book was born during the beginning of the pandemic when Marcelo Disconzi asked me to give aZoom colloquium talk at Vanderbilt University, which […]
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By Graham Robertson Senior Marketing Executive, Cambridge University Press How much do you know about the influence of mathematics and statistics? April is Mathematics and Statistics Awareness Month, so we thought we would share a quick snapshot… You probably know that secure online shopping and private messaging on your mobile or cell phone would not […]
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Why did I write this book? Certainly there are quite a few mathematicians who could write a better book on bounded gaps. I thought that the series of wonderful breakthroughs deserved to be celebrated with several accounts of the mathematical content of the breakthroughs, so why not! In addition, the style adopted for Equivalents of […]
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The original post can be found at www.principia.blog Everyone knows that The Principia was based on the inspiration that struck Newton when the apple struck his head, as you can see from the cartoon above. The thought that passed through his head was as follows: “Clearly the earth attracts the apple in the same way that it attracts […]
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Understanding turbulence is an important and challenging problem with a million dollar prize money on it. We illustrate the complexity of a turbulent flow using an example. Consider coffee being mixed vigorously, say by stirring (Figure 1(a)). The kinetic energy fed at the large-scales cascades to intermediate scales and then to small scales, as shown […]
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Mathematics rivals theology when it comes to ontological difficulties Mathematics rivals theology when it comes to ontological difficulties; consequently there are today three very different philosophical positions that can be taken. Platonists assert that there is an intangible but intelligible world of mathematical objects, and that the business of the mathematician is to explore this […]
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For the 150th anniversary of Marie Curie's birth Tony Hey author of The Computing Universe, 2015 looks at the life and legacy of the first computer programmer Ada Lovelace.
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