In Pursuit of Zeta-3 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook In Pursuit of Zeta-3 write by Paul J. Nahin. This book was released on 2021-10-19. In Pursuit of Zeta-3 available in PDF, EPUB and Kindle. "For centuries, mathematicians have tried, and failed, to solve the zeta-3 problem. This problem is simple in its formulation, but remains unsolved to this day, despite the attempts of some of the world's greatest mathematicians to solve it. The problem can be stated as follows: is there a simple symbolic formula for the following sum: 1+(1/2)^3+(1/3)^3+(1/4)^3+...? Although it is possible to calculate the approximate numerical value of the sum (for those interested, it's 1.20205...), there is no known symbolic expression. A symbolic formula would not only provide an exact value for the sum, but would allow for greater insight into its characteristics and properties. The answers to these questions are not of purely academic interest; the zeta-3 problem has close connections to physics, engineering, and other areas of mathematics. Zeta-3 arises in quantum electrodynamics and in number theory, for instance, and it is closely connected to the Riemann hypothesis. In In Pursuit of zeta-3, Paul Nahin turns his sharp, witty eye on the zeta-3 problem. He describes the problem's history, and provides numerous "challenge questions" to engage readers, along with Matlab code. Unlike other, similarly challenging problems, anyone with a basic mathematical background can understand the problem-making it an ideal choice for a pop math book"--
Dr. Euler's Fabulous Formula
Dr. Euler's Fabulous Formula - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Dr. Euler's Fabulous Formula write by Paul J. Nahin. This book was released on 2017-04-04. Dr. Euler's Fabulous Formula available in PDF, EPUB and Kindle. In the mid-eighteenth century, Swiss-born mathematician Leonhard Euler developed a formula so innovative and complex that it continues to inspire research, discussion, and even the occasional limerick. Dr. Euler's Fabulous Formula shares the fascinating story of this groundbreaking formula—long regarded as the gold standard for mathematical beauty—and shows why it still lies at the heart of complex number theory. In some ways a sequel to Nahin's An Imaginary Tale, this book examines the many applications of complex numbers alongside intriguing stories from the history of mathematics. Dr. Euler's Fabulous Formula is accessible to any reader familiar with calculus and differential equations, and promises to inspire mathematicians for years to come.
When Least Is Best
When Least Is Best - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook When Least Is Best write by Paul J. Nahin. This book was released on 2021-05-18. When Least Is Best available in PDF, EPUB and Kindle. A mathematical journey through the most fascinating problems of extremes and how to solve them What is the best way to photograph a speeding bullet? How can lost hikers find their way out of a forest? Why does light move through glass in the least amount of time possible? When Least Is Best combines the mathematical history of extrema with contemporary examples to answer these intriguing questions and more. Paul Nahin shows how life often works at the extremes—with values becoming as small (or as large) as possible—and he considers how mathematicians over the centuries, including Descartes, Fermat, and Kepler, have grappled with these problems of minima and maxima. Throughout, Nahin examines entertaining conundrums, such as how to build the shortest bridge possible between two towns, how to vary speed during a race, and how to make the perfect basketball shot. Moving from medieval writings and modern calculus to the field of optimization, the engaging and witty explorations of When Least Is Best will delight math enthusiasts everywhere.
Prime Numbers and the Riemann Hypothesis
Prime Numbers and the Riemann Hypothesis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Prime Numbers and the Riemann Hypothesis write by Barry Mazur. This book was released on 2016-04-11. Prime Numbers and the Riemann Hypothesis available in PDF, EPUB and Kindle. This book introduces prime numbers and explains the famous unsolved Riemann hypothesis.
Glimpses of Algebra and Geometry
Glimpses of Algebra and Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Glimpses of Algebra and Geometry write by Gabor Toth. This book was released on 2002-05-02. Glimpses of Algebra and Geometry available in PDF, EPUB and Kindle. Previous edition sold 2000 copies in 3 years; Explores the subtle connections between Number Theory, Classical Geometry and Modern Algebra; Over 180 illustrations, as well as text and Maple files, are available via the web facilitate understanding: http://mathsgi01.rutgers.edu/cgi-bin/wrap/gtoth/; Contains an insert with 4-color illustrations; Includes numerous examples and worked-out problems
