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Simply Riemann

e-book


ā€œJeremy Gray is one of the worldā€™s leading historians of mathematics, and an accomplished author of popular science. In Simply Riemann he combines both talents to give us clear and accessible insights into the astonishing discoveries of Bernhard Riemannā€”a brilliant but enigmatic mathematician who laid the foundations for several major areas of todayā€™s mathematics, and for Albert Einsteinā€™s General Theory of Relativity. Readable, organizedā€”and simple. Highly recommended.ā€

ā€”Ian Stewart, Emeritus Professor of Mathematics at Warwick University and author of Significant Figures

Born to a poor Lutheran pastor in what is today the Federal Republic of Germany, Bernhard Riemann (1826-1866) was a child math prodigy who began studying for a degree in theology before formally committing to mathematics in 1846, at the age of 20. Though he would live for only another 20 years (he died of pleurisy during a trip to Italy), his seminal work in a number of key areasā€”several of which now bear his nameā€”had a decisive impact on the shape of mathematics in the succeeding century and a half.

In Simply Riemann, author Jeremy Gray provides a comprehensive and intellectually stimulating introduction to Riemannā€™s life and paradigm-defining work. Beginning with his early influencesā€”in particular, his relationship with his renowned predecessor Carl Friedrich Gaussā€”Gray goes on to explore Riemannā€™s specific contributions to geometry, functions of a complex variable, prime numbers, and functions of a real variable, which opened the way to discovering the limits of the calculus. He shows how without Riemannian geometry, cosmology after Einstein would be unthinkable, and he illuminates the famous Riemann hypothesis, which many regard as the most important unsolved problem in mathematics today.

With admirable concision and clarity, Simply Riemann opens the door on one of the most profound and original thinkers of the 19th centuryā€”a man who pioneered the concept of a multidimensional reality and who always saw his work as another way to serve God.