Prime Obsession

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Publisher : Joseph Henry Press
ISBN 13 : 0309141257
Total Pages : 447 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Prime Obsession by : John Derbyshire

Download or read book Prime Obsession written by John Derbyshire and published by Joseph Henry Press. This book was released on 2003-04-15 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: In August 1859 Bernhard Riemann, a little-known 32-year old mathematician, presented a paper to the Berlin Academy titled: "On the Number of Prime Numbers Less Than a Given Quantity." In the middle of that paper, Riemann made an incidental remark â€" a guess, a hypothesis. What he tossed out to the assembled mathematicians that day has proven to be almost cruelly compelling to countless scholars in the ensuing years. Today, after 150 years of careful research and exhaustive study, the question remains. Is the hypothesis true or false? Riemann's basic inquiry, the primary topic of his paper, concerned a straightforward but nevertheless important matter of arithmetic â€" defining a precise formula to track and identify the occurrence of prime numbers. But it is that incidental remark â€" the Riemann Hypothesis â€" that is the truly astonishing legacy of his 1859 paper. Because Riemann was able to see beyond the pattern of the primes to discern traces of something mysterious and mathematically elegant shrouded in the shadows â€" subtle variations in the distribution of those prime numbers. Brilliant for its clarity, astounding for its potential consequences, the Hypothesis took on enormous importance in mathematics. Indeed, the successful solution to this puzzle would herald a revolution in prime number theory. Proving or disproving it became the greatest challenge of the age. It has become clear that the Riemann Hypothesis, whose resolution seems to hang tantalizingly just beyond our grasp, holds the key to a variety of scientific and mathematical investigations. The making and breaking of modern codes, which depend on the properties of the prime numbers, have roots in the Hypothesis. In a series of extraordinary developments during the 1970s, it emerged that even the physics of the atomic nucleus is connected in ways not yet fully understood to this strange conundrum. Hunting down the solution to the Riemann Hypothesis has become an obsession for many â€" the veritable "great white whale" of mathematical research. Yet despite determined efforts by generations of mathematicians, the Riemann Hypothesis defies resolution. Alternating passages of extraordinarily lucid mathematical exposition with chapters of elegantly composed biography and history, Prime Obsession is a fascinating and fluent account of an epic mathematical mystery that continues to challenge and excite the world. Posited a century and a half ago, the Riemann Hypothesis is an intellectual feast for the cognoscenti and the curious alike. Not just a story of numbers and calculations, Prime Obsession is the engrossing tale of a relentless hunt for an elusive proof â€" and those who have been consumed by it.

History Algebraic Geometry

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Publisher : CRC Press
ISBN 13 : 9780412993718
Total Pages : 202 pages
Book Rating : 4.9/5 (937 download)

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Book Synopsis History Algebraic Geometry by : Jean Dieudonné

Download or read book History Algebraic Geometry written by Jean Dieudonné and published by CRC Press. This book was released on 1985-05-30 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains several fundamental ideas that are revived time after time in different guises, providing a better understanding of algebraic geometric phenomena. It shows how the field is enriched with loans from analysis and topology and from commutative algebra and homological algebra.

The Life of Ludwig van Beethoven (Complete)

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Publisher : Library of Alexandria
ISBN 13 : 146558322X
Total Pages : 1474 pages
Book Rating : 4.4/5 (655 download)

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Book Synopsis The Life of Ludwig van Beethoven (Complete) by : Alexander Wheelock Thayer

Download or read book The Life of Ludwig van Beethoven (Complete) written by Alexander Wheelock Thayer and published by Library of Alexandria. This book was released on 2020-09-28 with total page 1474 pages. Available in PDF, EPUB and Kindle. Book excerpt: If for no other reasons than because of the long time and monumental patience expended upon its preparation, the vicissitudes through which it has passed and the varied and arduous labors bestowed upon it by the author and his editors, the history of Alexander Wheelock Thayer’s Life of Beethoven deserves to be set forth as an introduction to this work. His work it is, and his monument, though others have labored long and painstakingly upon it. There has been no considerable time since the middle of the last century when it has not occupied the minds of the author and those who have been associated with him in its creation. Between the conception of its plan and its execution there lies a period of more than two generations. Four men have labored zealously and affectionately upon its pages, and the fruits of more than four score men, stimulated to investigation by the first revelations made by the author, have been conserved in the ultimate form of the biography. It was seventeen years after Mr. Thayer entered upon what proved to be his life-task before he gave the first volume to the world—and then in a foreign tongue; it was thirteen more before the third volume came from the press. This volume, moreover, left the work unfinished, and thirty-two years more had to elapse before it was completed. When this was done the patient and self-sacrificing investigator was dead; he did not live to finish it himself nor to see it finished by his faithful collaborator of many years, Dr. Deiters; neither did he live to look upon a single printed page in the language in which he had written that portion of the work published in his lifetime. It was left for another hand to prepare the English edition of an American writer’s history of Germany’s greatest tone-poet, and to write its concluding chapters, as he believes, in the spirit of the original author. Under these circumstances there can be no vainglory in asserting that the appearance of this edition of Thayer’s Life of Beethoven deserves to be set down as a significant occurrence in musical history. In it is told for the first time in the language of the great biographer the true story of the man Beethoven—his history stripped of the silly sentimental romance with which early writers and their later imitators and copyists invested it so thickly that the real humanity, the humanliness, of the composer has never been presented to the world. In this biography there appears the veritable Beethoven set down in his true environment of men and things—the man as he actually was, the man as he himself, like Cromwell, asked to be shown for the information of posterity. It is doubtful if any other great man’s history has been so encrusted with fiction as Beethoven’s. Except Thayer’s, no biography of him has been written which presents him in his true light. The majority of the books which have been written of late years repeat many of the errors and falsehoods made current in the first books which were written about him. A great many of these errors and falsehoods are in the account of the composer’s last sickness and death, and were either inventions or exaggerations designed by their utterers to add pathos to a narrative which in unadorned truth is a hundredfold more pathetic than any tale of fiction could possibly be. Other errors have concealed the truth in the story of Beethoven’s guardianship of his nephew, his relations with his brothers, the origin and nature of his fatal illness, his dealings with his publishers and patrons, the generous attempt of the Philharmonic Society of London to extend help to him when upon his deathbed.

The Legacy of Bernhard Riemann After One Hundred and Fifty Years

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Author :
Publisher :
ISBN 13 : 9781571463180
Total Pages : 400 pages
Book Rating : 4.4/5 (631 download)

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Book Synopsis The Legacy of Bernhard Riemann After One Hundred and Fifty Years by : Lizhen Ji

Download or read book The Legacy of Bernhard Riemann After One Hundred and Fifty Years written by Lizhen Ji and published by . This book was released on 2016 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Galileo Unbound

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Publisher : Oxford University Press
ISBN 13 : 0192528505
Total Pages : 384 pages
Book Rating : 4.1/5 (925 download)

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Book Synopsis Galileo Unbound by : David D. Nolte

Download or read book Galileo Unbound written by David D. Nolte and published by Oxford University Press. This book was released on 2018-07-12 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Galileo Unbound traces the journey that brought us from Galileo's law of free fall to today's geneticists measuring evolutionary drift, entangled quantum particles moving among many worlds, and our lives as trajectories traversing a health space with thousands of dimensions. Remarkably, common themes persist that predict the evolution of species as readily as the orbits of planets or the collapse of stars into black holes. This book tells the history of spaces of expanding dimension and increasing abstraction and how they continue today to give new insight into the physics of complex systems. Galileo published the first modern law of motion, the Law of Fall, that was ideal and simple, laying the foundation upon which Newton built the first theory of dynamics. Early in the twentieth century, geometry became the cause of motion rather than the result when Einstein envisioned the fabric of space-time warped by mass and energy, forcing light rays to bend past the Sun. Possibly more radical was Feynman's dilemma of quantum particles taking all paths at once — setting the stage for the modern fields of quantum field theory and quantum computing. Yet as concepts of motion have evolved, one thing has remained constant, the need to track ever more complex changes and to capture their essence, to find patterns in the chaos as we try to predict and control our world.

Journey Through Genius

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Author :
Publisher : Penguin Books
ISBN 13 :
Total Pages : 324 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Journey Through Genius by : William Dunham

Download or read book Journey Through Genius written by William Dunham and published by Penguin Books. This book was released on 1991-08 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Like masterpieces of art, music, and literature, great mathematical theorems are creative milestones, works of genius destined to last forever. Now William Dunham gives them the attention they deserve. Dunham places each theorem within its historical context and explores the very human and often turbulent life of the creator — from Archimedes, the absentminded theoretician whose absorption in his work often precluded eating or bathing, to Gerolamo Cardano, the sixteenth-century mathematician whose accomplishments flourished despite a bizarre array of misadventures, to the paranoid genius of modern times, Georg Cantor. He also provides step-by-step proofs for the theorems, each easily accessible to readers with no more than a knowledge of high school mathematics. A rare combination of the historical, biographical, and mathematical, Journey Through Genius is a fascinating introduction to a neglected field of human creativity. “It is mathematics presented as a series of works of art; a fascinating lingering over individual examples of ingenuity and insight. It is mathematics by lightning flash.” —Isaac Asimov

The Riemann Hypothesis in Characteristic P in Historical Perspective

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Publisher :
ISBN 13 : 9783319990682
Total Pages : pages
Book Rating : 4.9/5 (96 download)

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Book Synopsis The Riemann Hypothesis in Characteristic P in Historical Perspective by : Peter Roquette

Download or read book The Riemann Hypothesis in Characteristic P in Historical Perspective written by Peter Roquette and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

A History of the Theories of Aether and Electricity

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Publisher : Forgotten Books
ISBN 13 : 9781528264624
Total Pages : 492 pages
Book Rating : 4.2/5 (646 download)

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Book Synopsis A History of the Theories of Aether and Electricity by : Edmund Taylor Whittaker

Download or read book A History of the Theories of Aether and Electricity written by Edmund Taylor Whittaker and published by Forgotten Books. This book was released on 2017-09-16 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from A History of the Theories of Aether and Electricity: From the Age of Descartes to the Close of the Nineteenth Century Newton shows that rays Obtained by double refraction have sides his Objections to the undulatory theory. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

An Introduction to the Theory of the Riemann Zeta-Function

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Author :
Publisher : Cambridge University Press
ISBN 13 : 9780521499057
Total Pages : 176 pages
Book Rating : 4.4/5 (99 download)

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Book Synopsis An Introduction to the Theory of the Riemann Zeta-Function by : S. J. Patterson

Download or read book An Introduction to the Theory of the Riemann Zeta-Function written by S. J. Patterson and published by Cambridge University Press. This book was released on 1995-02-02 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the analytic techniques used in the investigation of zeta functions through the example of the Riemann zeta function. It emphasizes central ideas of broad application, avoiding technical results and the customary function-theoretic appro

The Distribution of Prime Numbers

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Publisher : Cambridge University Press
ISBN 13 : 9780521397896
Total Pages : 140 pages
Book Rating : 4.3/5 (978 download)

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Book Synopsis The Distribution of Prime Numbers by : Albert Edward Ingham

Download or read book The Distribution of Prime Numbers written by Albert Edward Ingham and published by Cambridge University Press. This book was released on 1990-09-28 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1934, this volume presents the theory of the distribution of the prime numbers in the series of natural numbers. Despite being long out of print, it remains unsurpassed as an introduction to the field.

The Legacy of Bernhard Riemann After One Hundred and Fifty Years

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Publisher :
ISBN 13 : 9787040318753
Total Pages : 745 pages
Book Rating : 4.3/5 (187 download)

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Book Synopsis The Legacy of Bernhard Riemann After One Hundred and Fifty Years by :

Download or read book The Legacy of Bernhard Riemann After One Hundred and Fifty Years written by and published by . This book was released on 2016 with total page 745 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Absolute Zero Gravity

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Publisher : Touchstone
ISBN 13 :
Total Pages : 168 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Absolute Zero Gravity by : Betsy Devine

Download or read book Absolute Zero Gravity written by Betsy Devine and published by Touchstone. This book was released on 1992 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Mathematician's Brain

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Publisher : Princeton University Press
ISBN 13 : 9780691129822
Total Pages : 180 pages
Book Rating : 4.1/5 (298 download)

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Book Synopsis The Mathematician's Brain by : David Ruelle

Download or read book The Mathematician's Brain written by David Ruelle and published by Princeton University Press. This book was released on 2007-08-05 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: Examines mathematical ideas and the visionary minds behind them. This book provides an account of celebrated mathematicians and their quirks, oddities, personal tragedies, bad behavior, descents into madness, tragic ends, and the beauty of their mathematical discoveries.

An Episodic History of Mathematics

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Publisher : MAA
ISBN 13 : 0883857669
Total Pages : 395 pages
Book Rating : 4.8/5 (838 download)

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Book Synopsis An Episodic History of Mathematics by : Steven G. Krantz

Download or read book An Episodic History of Mathematics written by Steven G. Krantz and published by MAA. This book was released on 2010-04 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: A series of snapshots of the history of mathematics from ancient times to the twentieth century.

Mathematicians of the World, Unite!

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Publisher : CRC Press
ISBN 13 : 1439865124
Total Pages : 336 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Mathematicians of the World, Unite! by : Guillermo Curbera

Download or read book Mathematicians of the World, Unite! written by Guillermo Curbera and published by CRC Press. This book was released on 2009-02-23 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This vividly illustrated history of the International Congress of Mathematicians- a meeting of mathematicians from around the world held roughly every four years- acts as a visual history of the 25 congresses held between 1897 and 2006, as well as a story of changes in the culture of mathematics over the past century. Because the congress is an int

The Legacy of Leonhard Euler

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Publisher : World Scientific
ISBN 13 : 1848165269
Total Pages : 420 pages
Book Rating : 4.8/5 (481 download)

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Book Synopsis The Legacy of Leonhard Euler by : Lokenath Debnath

Download or read book The Legacy of Leonhard Euler written by Lokenath Debnath and published by World Scientific. This book was released on 2010 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book primarily serves as a historical research monograph on the biographical sketch and career of Leonhard Euler and his major contributions to numerous areas in the mathematical and physical sciences. It contains fourteen chapters describing Euler''s works on number theory, algebra, geometry, trigonometry, differential and integral calculus, analysis, infinite series and infinite products, ordinary and elliptic integrals and special functions, ordinary and partial differential equations, calculus of variations, graph theory and topology, mechanics and ballistic research, elasticity and fluid mechanics, physics and astronomy, probability and statistics. The book is written to provide a definitive impression of Euler''s personal and professional life as well as of the range, power, and depth of his unique contributions. This tricentennial tribute commemorates Euler the great man and Euler the universal mathematician of all time. Based on the author''s historically motivated method of teaching, special attention is given to demonstrate that Euler''s work had served as the basis of research and developments of mathematical and physical sciences for the last 300 years. An attempt is also made to examine his research and its relation to current mathematics and science. Based on a series of Euler''s extraordinary contributions, the historical development of many different subjects of mathematical sciences is traced with a linking commentary so that it puts the reader at the forefront of current research. Erratum. Sample Chapter(s). Chapter 1: Mathematics Before Leonhard Euler (434 KB). Contents: Mathematics Before Leonhard Euler; Brief Biographical Sketch and Career of Leonhard Euler; Euler''s Contributions to Number Theory and Algebra; Euler''s Contributions to Geometry and Spherical Trigonometry; Euler''s Formula for Polyhedra, Topology and Graph Theory; Euler''s Contributions to Calculus and Analysis; Euler''s Contributions to the Infinite Series and the Zeta Function; Euler''s Beta and Gamma Functions and Infinite Products; Euler and Differential Equations; The Euler Equations of Motion in Fluid Mechanics; Euler''s Contributions to Mechanics and Elasticity; Euler''s Work on the Probability Theory; Euler''s Contributions to Ballistics; Euler and His Work on Astronomy and Physics. Readership: Undergraduate and graduate students of mathematics, mathematics education, physics, engineering and science. As well as professionals and prospective mathematical scientists.

Leonhard Euler

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Publisher : Elsevier
ISBN 13 : 0080471293
Total Pages : 543 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Leonhard Euler by : Robert E. Bradley

Download or read book Leonhard Euler written by Robert E. Bradley and published by Elsevier. This book was released on 2007-03-20 with total page 543 pages. Available in PDF, EPUB and Kindle. Book excerpt: The year 2007 marks the 300th anniversary of the birth of one of the Enlightenment's most important mathematicians and scientists, Leonhard Euler. This volume is a collection of 24 essays by some of the world's best Eulerian scholars from seven different countries about Euler, his life and his work. Some of the essays are historical, including much previously unknown information about Euler's life, his activities in the St. Petersburg Academy, the influence of the Russian Princess Dashkova, and Euler's philosophy. Others describe his influence on the subsequent growth of European mathematics and physics in the 19th century. Still others give technical details of Euler's innovations in probability, number theory, geometry, analysis, astronomy, mechanics and other fields of mathematics and science.- Over 20 essays by some of the best historians of mathematics and science, including Ronald Calinger, Peter Hoffmann, Curtis Wilson, Kim Plofker, Victor Katz, Ruediger Thiele, David Richeson, Robin Wilson, Ivor Grattan-Guinness and Karin Reich- New details of Euler's life in two essays, one by Ronald Calinger and one he co-authored with Elena Polyakhova- New information on Euler's work in differential geometry, series, mechanics, and other important topics including his influence in the early 19th century