The Art of Conjecturing, Together with Letter to a Friend on Sets in Court Tennis PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download The Art of Conjecturing, Together with Letter to a Friend on Sets in Court Tennis PDF full book. Access full book title The Art of Conjecturing, Together with Letter to a Friend on Sets in Court Tennis by Jacob Bernoulli. Download full books in PDF and EPUB format.
Author: Jacob Bernoulli
Publisher: JHU Press
ISBN: 9780801882357
Category : Mathematics
Languages : en
Pages : 468
Get Book Here
Book Description
"Part I reprints and reworks Huygens's On Reckoning in Games of Chance. Part II offers a thorough treatment of the mathematics of combinations and permutations, including the numbers since known as "Bernoulli numbers." In Part III, Bernoulli solves more complicated problems of games of chance using that mathematics. In the final part, Bernoulli's crowning achievement in mathematical probability becomes manifest he applies the mathematics of games of chance to the problems of epistemic probability in civil, moral, and economic matters, proving what we now know as the weak law of large numbers."
Author: Jacob Bernoulli
Publisher: JHU Press
ISBN: 9780801882357
Category : Mathematics
Languages : en
Pages : 468
Get Book Here
Book Description
"Part I reprints and reworks Huygens's On Reckoning in Games of Chance. Part II offers a thorough treatment of the mathematics of combinations and permutations, including the numbers since known as "Bernoulli numbers." In Part III, Bernoulli solves more complicated problems of games of chance using that mathematics. In the final part, Bernoulli's crowning achievement in mathematical probability becomes manifest he applies the mathematics of games of chance to the problems of epistemic probability in civil, moral, and economic matters, proving what we now know as the weak law of large numbers."
Author: Apostolos Doxiadis
Publisher: Faber & Faber
ISBN: 057129569X
Category : Fiction
Languages : en
Pages : 148
Get Book Here
Book Description
Uncle Petros is a family joke. An ageing recluse, he lives alone in a suburb of Athens, playing chess and tending to his garden. If you didn't know better, you'd surely think he was one of life's failures. But his young nephew suspects otherwise. For Uncle Petros, he discovers, was once a celebrated mathematician, brilliant and foolhardy enough to stake everything on solving a problem that had defied all attempts at proof for nearly three centuries - Goldbach's Conjecture. His quest brings him into contact with some of the century's greatest mathematicians, including the Indian prodigy Ramanujan and the young Alan Turing. But his struggle is lonely and single-minded, and by the end it has apparently destroyed his life. Until that is a final encounter with his nephew opens up to Petros, once more, the deep mysterious beauty of mathematics. Uncle Petros and Goldbach's Conjecture is an inspiring novel of intellectual adventure, proud genius, the exhilaration of pure mathematics - and the rivalry and antagonism which torment those who pursue impossible goals.
Author: Clyde Lee Miller
Publisher: CUA Press
ISBN: 0813234166
Category : Philosophy
Languages : en
Pages : 206
Get Book Here
Book Description
“Learned ignorance,” the recognition that God is beyond us and our knowing capacities is the theological concept for which Nicholas of Cusa is most famous. Despite God’s apparent absence Nicholas offers original ways to think about God that would unite his presence with his absence. He called these proposals “conjectures” (coniecturae). Conjecture and conjecturing are central to the methodology of Nicholas’s philosophical theology and to his thinking about human knowledge. By using concrete examples from the everyday life of his times as symbolic imagery Nicholas makes what we say about God imaginatively available and theoretically plausible. He called such conjectural symbols “aenigmata” (= “symbolic or ‘enigmatic’ conjectures”) because they partially clarify and likewise point to an exact truth that is beyond us. Novel and imaginative, Nicholas’s conjectural examples break with the traditional medieval Aristotelian examples and provide further evidence of his role as a figure bridging medieval and Renaissance thought. Following his earlier book, Reading Cusanus (The Catholic University of America Press, 2003), Clyde Lee Miller here examines and comments on the meaning of “conjecture” in Nicholas of Cusa. The Art of Conjecture: Nicholas of Cusa on Knowledge explores what Nicholas meant by conjecture and its import as demonstrated in his treatises and sermons. Beginning with Nicholas’ On Conjectures, Miller analyzes a series of conjectural symbols and proposals across Nicholas’s less frequently discussed texts and recently published sermons. This early Renaissance thinker offers an original and ground-breaking way of framing speculation in philosophical theology and more generally in philosophy itself.
Author: Karen Olsson
Publisher: Macmillan + ORM
ISBN: 0374719632
Category : Biography & Autobiography
Languages : en
Pages : 167
Get Book Here
Book Description
A New York Times Editors' Pick and Paris Review Staff Pick "A wonderful book." --Patti Smith "I was riveted. Olsson is evocative on curiosity as an appetite of the mind, on the pleasure of glutting oneself on knowledge." --Parul Sehgal, The New York Times An eloquent blend of memoir and biography exploring the Weil siblings, math, and creative inspiration Karen Olsson’s stirring and unusual third book, The Weil Conjectures, tells the story of the brilliant Weil siblings—Simone, a philosopher, mystic, and social activist, and André, an influential mathematician—while also recalling the years Olsson spent studying math. As she delves into the lives of these two singular French thinkers, she grapples with their intellectual obsessions and rekindles one of her own. For Olsson, as a math major in college and a writer now, it’s the odd detours that lead to discovery, to moments of insight. Thus The Weil Conjectures—an elegant blend of biography and memoir and a meditation on the creative life. Personal, revealing, and approachable, The Weil Conjectures eloquently explores math as it relates to intellectual history, and shows how sometimes the most inexplicable pursuits turn out to be the most rewarding.
Author: Gabriel Navarro
Publisher: Cambridge University Press
ISBN: 1108428444
Category : Mathematics
Languages : en
Pages : 253
Get Book Here
Book Description
Presents contemporary character theory of finite groups from the basics to the state of the art, with new, refined proofs.
Author: René Schoof
Publisher: Springer Science & Business Media
ISBN: 1848001851
Category : Mathematics
Languages : en
Pages : 125
Get Book Here
Book Description
Eugène Charles Catalan made his famous conjecture – that 8 and 9 are the only two consecutive perfect powers of natural numbers – in 1844 in a letter to the editor of Crelle’s mathematical journal. One hundred and fifty-eight years later, Preda Mihailescu proved it. Catalan’s Conjecture presents this spectacular result in a way that is accessible to the advanced undergraduate. The author dissects both Mihailescu’s proof and the earlier work it made use of, taking great care to select streamlined and transparent versions of the arguments and to keep the text self-contained. Only in the proof of Thaine’s theorem is a little class field theory used; it is hoped that this application will motivate the interested reader to study the theory further. Beautifully clear and concise, this book will appeal not only to specialists in number theory but to anyone interested in seeing the application of the ideas of algebraic number theory to a famous mathematical problem.
Author: Donal O'Shea
Publisher: Bloomsbury Publishing USA
ISBN: 0802718949
Category : Mathematics
Languages : en
Pages : 306
Get Book Here
Book Description
Henri Poincaré was one of the greatest mathematicians of the late nineteenth and early twentieth century. He revolutionized the field of topology, which studies properties of geometric configurations that are unchanged by stretching or twisting. The Poincaré conjecture lies at the heart of modern geometry and topology, and even pertains to the possible shape of the universe. The conjecture states that there is only one shape possible for a finite universe in which every loop can be contracted to a single point. Poincaré's conjecture is one of the seven "millennium problems" that bring a one-million-dollar award for a solution. Grigory Perelman, a Russian mathematician, has offered a proof that is likely to win the Fields Medal, the mathematical equivalent of a Nobel prize, in August 2006. He also will almost certainly share a Clay Institute millennium award. In telling the vibrant story of The Poincaré Conjecture, Donal O'Shea makes accessible to general readers for the first time the meaning of the conjecture, and brings alive the field of mathematics and the achievements of generations of mathematicians whose work have led to Perelman's proof of this famous conjecture.
Author: Jakob Stix
Publisher: Springer
ISBN: 3642306748
Category : Mathematics
Languages : en
Pages : 257
Get Book Here
Book Description
The section conjecture in anabelian geometry, announced by Grothendieck in 1983, is concerned with a description of the set of rational points of a hyperbolic algebraic curve over a number field in terms of the arithmetic of its fundamental group. While the conjecture is still open today in 2012, its study has revealed interesting arithmetic for curves and opened connections, for example, to the question whether the Brauer-Manin obstruction is the only one against rational points on curves. This monograph begins by laying the foundations for the space of sections of the fundamental group extension of an algebraic variety. Then, arithmetic assumptions on the base field are imposed and the local-to-global approach is studied in detail. The monograph concludes by discussing analogues of the section conjecture created by varying the base field or the type of variety, or by using a characteristic quotient or its birational analogue in lieu of the fundamental group extension.
Author: Stephen Ornes
Publisher: Sterling New York
ISBN: 9781454930440
Category : MATHEMATICS
Languages : en
Pages : 0
Get Book Here
Book Description
The worlds of visual art and mathematics beautifully unite in this spectacular volume by award-winning writer Stephen Ornes. He explores the growing sensation of math art, presenting such pieces as a colorful crocheted representation of non-Euclidian geometry that looks like sea coral and a 65-ton, 28-foot-tall bronze sculpture covered in a space-filling curve. We learn the artist's story for every work, plus the mathematical concepts and equations behind the art.
Author: Bertrand Russell
Publisher: Open Road Media
ISBN: 1497675693
Category : Philosophy
Languages : en
Pages : 85
Get Book Here
Book Description
Three essays on mathematics, logic, and philosophy from the Noble Prize–winning author of A History of Western Philosophy. The essays in this little volume, published here for the first time in book form, were written by Bertrand Russell during the Second World War when he was less concerned with the stormy issues of nuclear warfare and the containment of Communist aggression and more with “the art of reckoning” in the fields of mathematics, logic and philosophy. The simplicity of Russell’s exposition is astonishing, as is his ability to get to the core of the great philosophical issues and to skillfully probe the depth of philosophical analysis.
