the man who knew infinity a life of the genius ramanujan

Download Book The Man Who Knew Infinity A Life Of The Genius Ramanujan in PDF format. You can Read Online The Man Who Knew Infinity A Life Of The Genius Ramanujan here in PDF, EPUB, Mobi or Docx formats.

The Man Who Knew Infinity

Author : Robert Kanigel
ISBN : 9781476763491
Genre : Biography & Autobiography
File Size : 61. 91 MB
Format : PDF, ePub, Mobi
Download : 589
Read : 443

Get This Book


A biography of the Indian mathematician Srinivasa Ramanujan. The book gives a detailed account of his upbringing in India, his mathematical achievements, and his mathematical collaboration with English mathematician G. H. Hardy. The book also reviews the life of Hardy and the academic culture of Cambridge University during the early twentieth century.

Mathematical Excursions

Author : Richard N. Aufmann
ISBN : 9781111578497
Genre : Mathematics
File Size : 63. 68 MB
Format : PDF, Kindle
Download : 928
Read : 193

Get This Book


MATHEMATICAL EXCURSIONS, Third Edition, teaches students that mathematics is a system of knowing and understanding our surroundings. For example, sending information across the Internet is better understood when one understands prime numbers; the perils of radioactive waste take on new meaning when one understands exponential functions; and the efficiency of the flow of traffic through an intersection is more interesting after seeing the system of traffic lights represented in a mathematical form. Students will learn those facets of mathematics that strengthen their quantitative understanding and expand the way they know, perceive, and comprehend their world. We hope you enjoy the journey. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

My Search For Ramanujan

Author : Ken Ono
ISBN : 9783319255682
Genre : Mathematics
File Size : 72. 82 MB
Format : PDF, ePub, Docs
Download : 851
Read : 811

Get This Book


"The son of a prominent Japanese mathematician who came to the United States after World War II, Ken Ono was raised on a diet of high expectations and little praise. Rebelling against his pressure-cooker of a life, Ken determined to drop out of high school to follow his own path. To obtain his father’s approval, he invoked the biography of the famous Indian mathematical prodigy Srinivasa Ramanujan, whom his father revered, who had twice flunked out of college because of his single-minded devotion to mathematics. Ono describes his rocky path through college and graduate school, interweaving Ramanujan’s story with his own and telling how at key moments, he was inspired by Ramanujan and guided by mentors who encouraged him to pursue his interest in exploring Ramanujan’s mathematical legacy. Picking up where others left off, beginning with the great English mathematician G.H. Hardy, who brought Ramanujan to Cambridge in 1914, Ono has devoted his mathematical career to understanding how in his short life, Ramanujan was able to discover so many deep mathematical truths, which Ramanujan believed had been sent to him as visions from a Hindu goddess. And it was Ramanujan who was ultimately the source of reconciliation between Ono and his parents. Ono’s search for Ramanujan ranges over three continents and crosses paths with mathematicians whose lives span the globe and the entire twentieth century and beyond. Along the way, Ken made many fascinating discoveries. The most important and surprising one of all was his own humanity."

Divine Fury

Author : Darrin M. McMahon
ISBN : 9780465069910
Genre : History
File Size : 75. 29 MB
Format : PDF
Download : 674
Read : 276

Get This Book


Genius. The word connotes an almost unworldly power: the power to create, to grasp universal secrets, even to destroy. As renowned intellectual historian Darrin McMahon explains in Divine Fury, the concept of genius can be traced back to antiquity, when men of great insight were thought to be advised by demons. The modern idea of genius emerged in tension with a growing belief in human equality; contesting the notion that all are created equal, geniuses served to dramatize the exception of extraordinary individuals not governed by ordinary laws. Today, the idea of genius has become cheapened—rock stars and football coaches earn the term with seemingly the same ease as astrophysicists and philosophers—yet our enduring fascination with it reflects the desires, needs, and fears of ordinary human beings. The first comprehensive history of this mysterious yet foundational concept, Divine Fury follows the fortunes of genius from Socrates to Napoleon to Einstein and beyond, analyzing its democratization, disappearance, and potential rebirth.

Genius A Very Short Introduction

Author : Andrew Robinson
ISBN : 9780199594405
Genre : Philosophy
File Size : 90. 35 MB
Format : PDF, Mobi
Download : 759
Read : 1319

Get This Book


The first concise study of genius in both the arts and the sciences, using the life and work of famous geniuses to illuminate this phenomenon.-publisher description.

Pioneers Of Representation Theory

Author : Charles W. Curtis
ISBN : 0821896725
Genre : Mathematics
File Size : 41. 34 MB
Format : PDF
Download : 403
Read : 684

Get This Book


The year 1897 was marked by two important mathematical events: the publication of the first paper on representations of finite groups by Ferdinand Georg Frobenius (1849-1917) and the appearance of the first treatise in English on the theory of finite groups by William Burnside (1852-1927). Burnside soon developed his own approach to representations of finite groups. In the next few years, working independently, Frobenius and Burnside explored the new subject and its applications to finite group theory. They were soon joined in this enterprise by Issai Schur (1875-1941) and some years later, by Richard Brauer (1901-1977). These mathematicians' pioneering research is the subject of this book. It presents an account of the early history of representation theory through an analysis of the published work of the principals and others with whom the principals' work was interwoven. Also included are biographical sketches and enough mathematics to enable readers to follow the development of the subject. An introductory chapter contains some of the results involving characters of finite abelian groups by Lagrange, Gauss, and Dirichlet, which were part of the mathematical tradition from which Frobenius drew his inspiration. This book presents the early history of an active branch of mathematics. It includes enough detail to enable readers to learn the mathematics along with the history. The volume would be a suitable text for a course on representations of finite groups, particularly one emphasizing an historical point of view. Co-published with the London Mathematical Society. Members of the LMS may order directly from the AMS at the AMS member price. The LMS is registered with the Charity Commissioners.

The Number Sense

Author : Stanislas Dehaene
ISBN : 9780199910397
Genre : Mathematics
File Size : 68. 79 MB
Format : PDF, Mobi
Download : 271
Read : 857

Get This Book


Our understanding of how the human brain performs mathematical calculations is far from complete, but in recent years there have been many exciting breakthroughs by scientists all over the world. Now, in The Number Sense, Stanislas Dehaene offers a fascinating look at this recent research, in an enlightening exploration of the mathematical mind. Dehaene begins with the eye-opening discovery that animals--including rats, pigeons, raccoons, and chimpanzees--can perform simple mathematical calculations, and that human infants also have a rudimentary number sense. Dehaene suggests that this rudimentary number sense is as basic to the way the brain understands the world as our perception of color or of objects in space, and, like these other abilities, our number sense is wired into the brain. These are but a few of the wealth of fascinating observations contained here. We also discover, for example, that because Chinese names for numbers are so short, Chinese people can remember up to nine or ten digits at a time--English-speaking people can only remember seven. The book also explores the unique abilities of idiot savants and mathematical geniuses, and we meet people whose minute brain lesions render their mathematical ability useless. This new and completely updated edition includes all of the most recent scientific data on how numbers are encoded by single neurons, and which brain areas activate when we perform calculations. Perhaps most important, The Number Sense reaches many provocative conclusions that will intrigue anyone interested in learning, mathematics, or the mind. "A delight." --Ian Stewart, New Scientist "Read The Number Sense for its rich insights into matters as varying as the cuneiform depiction of numbers, why Jean Piaget's theory of stages in infant learning is wrong, and to discover the brain regions involved in the number sense." --The New York Times Book Review "Dehaene weaves the latest technical research into a remarkably lucid and engrossing investigation. Even readers normally indifferent to mathematics will find themselves marveling at the wonder of minds making numbers." --Booklist

Combinatorics Ancient Modern

Author : Robin Wilson
ISBN : 9780191630637
Genre : Mathematics
File Size : 60. 87 MB
Format : PDF, ePub
Download : 451
Read : 492

Get This Book


Who first presented Pascal's triangle? (It was not Pascal.) Who first presented Hamiltonian graphs? (It was not Hamilton.) Who first presented Steiner triple systems? (It was not Steiner.) The history of mathematics is a well-studied and vibrant area of research, with books and scholarly articles published on various aspects of the subject. Yet, the history of combinatorics seems to have been largely overlooked. This book goes some way to redress this and serves two main purposes: 1) it constitutes the first book-length survey of the history of combinatorics; and 2) it assembles, for the first time in a single source, researches on the history of combinatorics that would otherwise be inaccessible to the general reader. Individual chapters have been contributed by sixteen experts. The book opens with an introduction by Donald E. Knuth to two thousand years of combinatorics. This is followed by seven chapters on early combinatorics, leading from Indian and Chinese writings on permutations to late-Renaissance publications on the arithmetical triangle. The next seven chapters trace the subsequent story, from Euler's contributions to such wide-ranging topics as partitions, polyhedra, and latin squares to the 20th century advances in combinatorial set theory, enumeration, and graph theory. The book concludes with some combinatorial reflections by the distinguished combinatorialist, Peter J. Cameron. This book is not expected to be read from cover to cover, although it can be. Rather, it aims to serve as a valuable resource to a variety of audiences. Combinatorialists with little or no knowledge about the development of their subject will find the historical treatment stimulating. A historian of mathematics will view its assorted surveys as an encouragement for further research in combinatorics. The more general reader will discover an introduction to a fascinating and too little known subject that continues to stimulate and inspire the work of scholars today.

Why We Lie

Author : David Livingstone Smith
ISBN : 9781466821507
Genre : Science
File Size : 69. 15 MB
Format : PDF, ePub, Docs
Download : 424
Read : 896

Get This Book


Deceit, lying, and falsehoods lie at the very heart of our cultural heritage. Even the founding myth of the Judeo-Christian tradition, the story of Adam and Eve, revolves around a lie. We have been talking, writing and singing about deception ever since Eve told God, "The serpent deceived me, and I ate." Our seemingly insatiable appetite for stories of deception spans the extremes of culture from King Lear to Little Red Riding Hood, retaining a grip on our imaginations despite endless repetition. These tales of deception are so enthralling because they speak to something fundamental in the human condition. The ever-present possibility of deceit is a crucial dimension of all human relationships, even the most central: our relationships with our very own selves. Now, for the first time, philosopher and evolutionary psychologist David Livingstone Smith elucidates the essential role that deception and self-deception have played in human--and animal--evolution and shows that the very structure of our minds has been shaped from our earliest beginnings by the need to deceive. Smith shows us that by examining the stories we tell, the falsehoods we weave, and the unconscious signals we send out, we can learn much about ourselves and how our minds work. Readers of Richard Dawkins and Steven Pinker will find much to intrigue them in this fascinating book, which declares that our extraordinary ability to deceive others--and even our own selves--"lies" at the heart of our humanity.

Finding Zero

Author : Amir D. Aczel
ISBN : 9781466879102
Genre : Mathematics
File Size : 49. 19 MB
Format : PDF
Download : 887
Read : 610

Get This Book


The invention of numerals is perhaps the greatest abstraction the human mind has ever created. Virtually everything in our lives is digital, numerical, or quantified. The story of how and where we got these numerals, which we so depend on, has for thousands of years been shrouded in mystery. Finding Zero is an adventure filled saga of Amir Aczel's lifelong obsession: to find the original sources of our numerals. Aczel has doggedly crisscrossed the ancient world, scouring dusty, moldy texts, cross examining so-called scholars who offered wildly differing sets of facts, and ultimately penetrating deep into a Cambodian jungle to find a definitive proof. Here, he takes the reader along for the ride. The history begins with the early Babylonian cuneiform numbers, followed by the later Greek and Roman letter numerals. Then Aczel asks the key question: where do the numbers we use today, the so-called Hindu-Arabic numerals, come from? It is this search that leads him to explore uncharted territory, to go on a grand quest into India, Thailand, Laos, Vietnam, and ultimately into the wilds of Cambodia. There he is blown away to find the earliest zero—the keystone of our entire system of numbers—on a crumbling, vine-covered wall of a seventh-century temple adorned with eaten-away erotic sculptures. While on this odyssey, Aczel meets a host of fascinating characters: academics in search of truth, jungle trekkers looking for adventure, surprisingly honest politicians, shameless smugglers, and treacherous archaeological thieves—who finally reveal where our numbers come from.

Top Download:

Best Books