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NIELS HENRIK ABEL and his Times

NIELS HENRIK ABEL and his Times
Author: Arild Stubhaug
Publisher: Springer Science & Business Media
Total Pages: 604
Release: 2000-04-26
Genre: Biography & Autobiography
ISBN: 9783540668343

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Everyone with an interest in the history of mathematics and science will enjoy reading this book on one of the most famous mathematicians of the 19th century. The author, who is both a historian and a mathematician, has written the definitive biography of Niels Henrik Abel.


Niels Henrik Abel

Niels Henrik Abel
Author: Øystein Ore
Publisher: U of Minnesota Press
Total Pages: 306
Release: 1957
Genre: Biography & Autobiography
ISBN: 0816660247

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Niels Henrik Abel was first published in 1957. Minnesota Archive Editions uses digital technology to make long-unavailable books once again accessible, and are published unaltered from the original University of Minnesota Press editions. Few men are more famous in the world of modern mathematics than Niels Henrik Abel, whose concepts and results are familiar to all present-day mathematicians. This volume, the first biography of Abel published in English, presents the story of the brilliant young Norwegian whose scientific achievements were not fully recognized until after his untimely death. It is also a case history of our perennial problem of how to detect genius and ease its path. Abel was born in 1802 in Finnoy, a little island on the coast of Norway. His father was a minister and politician of national importance, but his family descended from prominence to moral dissolution. Abel's studies were financed by his professors, aware of his extraordinary abilities. He was granted a fellowship to travel and study on the continent, and the year and a half which he then spent in Germany, Italy, and France was a most happy period in his life. When Abel returned to Norway, he could only obtain a temporary position, and in his last years he was harassed by grave difficulties. He managed, however, to write inspired mathematical articles which made a reputation for him among the mathematicians of Europe. Just as the security he longed for seemed within his grasp, he died of tuberculosis at the age of twenty-six. Abel's life has been the subject of several books, published in the Scandinavian countries, France, and Germany, but, in preparing this biography, Mr. Ore made use of much new material obtained from private letters, official documents, and newspaper files in various European sources.


NIELS HENRIK ABEL and his Times

NIELS HENRIK ABEL and his Times
Author: Arild Stubhaug
Publisher: Springer Science & Business Media
Total Pages: 546
Release: 2013-04-17
Genre: Language Arts & Disciplines
ISBN: 366204076X

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Everyone with an interest in the history of mathematics and science will enjoy reading this book on one of the most famous mathematicians of the 19th century. The author, who is both a historian and a mathematician, has written the definitive biography of Niels Henrik Abel.


Ramanujan's Place in the World of Mathematics

Ramanujan's Place in the World of Mathematics
Author: Krishnaswami Alladi
Publisher: Springer Science & Business Media
Total Pages: 179
Release: 2012-10-30
Genre: Mathematics
ISBN: 813220767X

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This book is a collection of articles, all by the author, on the Indian mathematical genius Srinivasa Ramanujan as well as on some of the greatest mathematicians throughout the history whose life and works have things in common with Ramanujan. It presents a unique comparative study of Ramanujan’s spectacular discoveries and remarkable life and of the monumental contributions of various mathematical luminaries, some of whom, like Ramanujan, overcame great difficulties in life. In the book, some aspects of Ramanujan’s contributions, such as his remarkable formulae for the number pi, his pathbreaking work in the theory of partitions, and his fundamental observations on quadratic forms, are discussed. Finally, the book describes various current efforts to ensure that the legacy of Ramanujan will be preserved and continue to thrive in the future. Thus the book is an enlightening study of Ramanujan as a mathematician and a human being.


Abel's Proof

Abel's Proof
Author: Peter Pesic
Publisher: MIT Press
Total Pages: 242
Release: 2004-02-27
Genre: Technology & Engineering
ISBN: 9780262661829

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The intellectual and human story of a mathematical proof that transformed our ideas about mathematics. In 1824 a young Norwegian named Niels Henrik Abel proved conclusively that algebraic equations of the fifth order are not solvable in radicals. In this book Peter Pesic shows what an important event this was in the history of thought. He also presents it as a remarkable human story. Abel was twenty-one when he self-published his proof, and he died five years later, poor and depressed, just before the proof started to receive wide acclaim. Abel's attempts to reach out to the mathematical elite of the day had been spurned, and he was unable to find a position that would allow him to work in peace and marry his fiancé. But Pesic's story begins long before Abel and continues to the present day, for Abel's proof changed how we think about mathematics and its relation to the "real" world. Starting with the Greeks, who invented the idea of mathematical proof, Pesic shows how mathematics found its sources in the real world (the shapes of things, the accounting needs of merchants) and then reached beyond those sources toward something more universal. The Pythagoreans' attempts to deal with irrational numbers foreshadowed the slow emergence of abstract mathematics. Pesic focuses on the contested development of algebra—which even Newton resisted—and the gradual acceptance of the usefulness and perhaps even beauty of abstractions that seem to invoke realities with dimensions outside human experience. Pesic tells this story as a history of ideas, with mathematical details incorporated in boxes. The book also includes a new annotated translation of Abel's original proof.


The Equation That Couldn't Be Solved

The Equation That Couldn't Be Solved
Author: Mario Livio
Publisher: Simon and Schuster
Total Pages: 367
Release: 2005-09-19
Genre: Mathematics
ISBN: 0743274628

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What do Bach's compositions, Rubik's Cube, the way we choose our mates, and the physics of subatomic particles have in common? All are governed by the laws of symmetry, which elegantly unify scientific and artistic principles. Yet the mathematical language of symmetry-known as group theory-did not emerge from the study of symmetry at all, but from an equation that couldn't be solved. For thousands of years mathematicians solved progressively more difficult algebraic equations, until they encountered the quintic equation, which resisted solution for three centuries. Working independently, two great prodigies ultimately proved that the quintic cannot be solved by a simple formula. These geniuses, a Norwegian named Niels Henrik Abel and a romantic Frenchman named Évariste Galois, both died tragically young. Their incredible labor, however, produced the origins of group theory. The first extensive, popular account of the mathematics of symmetry and order, The Equation That Couldn't Be Solved is told not through abstract formulas but in a beautifully written and dramatic account of the lives and work of some of the greatest and most intriguing mathematicians in history.


Duel at Dawn

Duel at Dawn
Author: Amir Alexander
Publisher: Harvard University Press
Total Pages: 320
Release: 2011-10-15
Genre: Mathematics
ISBN: 0674061748

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In the fog of a Paris dawn in 1832, ƒvariste Galois, the 20-year-old founder of modern algebra, was shot and killed in a duel. That gunshot, suggests Amir Alexander, marked the end of one era in mathematics and the beginning of another. Arguing that not even the purest mathematics can be separated from its cultural background, Alexander shows how popular stories about mathematicians are really morality tales about their craft as it relates to the world. In the eighteenth century, Alexander says, mathematicians were idealized as child-like, eternally curious, and uniquely suited to reveal the hidden harmonies of the world. But in the nineteenth century, brilliant mathematicians like Galois became Romantic heroes like poets, artists, and musicians. The ideal mathematician was now an alienated loner, driven to despondency by an uncomprehending world. A field that had been focused on the natural world now sought to create its own reality. Higher mathematics became a world unto itselfÑpure and governed solely by the laws of reason. In this strikingly original book that takes us from Paris to St. Petersburg, Norway to Transylvania, Alexander introduces us to national heroes and outcasts, innocents, swindlers, and martyrsÐall uncommonly gifted creators of modern mathematics.


Gösta Mittag-Leffler

Gösta Mittag-Leffler
Author: Arild Stubhaug
Publisher: Springer Science & Business Media
Total Pages: 696
Release: 2010-08-03
Genre: Mathematics
ISBN: 3642116728

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Gösta Mittag-Leffler (1846–1927) played a significant role as both a scientist and entrepreneur. Regarded as the father of Swedish mathematics, his influence extended far beyond his chosen field because of his extensive network of international contacts in science, business, and the arts. He was instrumental in seeing to it that Marie Curie was awarded the Nobel Prize twice. One of Mittag-Leffler’s major accomplishments was the founding of the journal Acta Mathematica , published by Institut Mittag-Leffler and Sweden’s Royal Academy of Sciences. Arild Stubhaug’s research for this monumental biography relied on a wealth of primary and secondary resources, including more than 30000 letters that are part of the Mittag-Leffler archives. Written in a lucid and compelling manner, the biography contains many hitherto unknown facts about Mittag-Leffler’s personal life and professional endeavors. It will be of great interest to both mathematicians and general readers interested in science and culture.


That's Maths

That's Maths
Author: Peter Lynch
Publisher: Gill & Macmillan Ltd
Total Pages: 328
Release: 2016-10-14
Genre: Mathematics
ISBN: 0717169561

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From atom bombs to rebounding slinkies, open your eyes to the mathematical magic in the everyday. Mathematics isn't just for academics and scientists, a fact meteorologist and blogger Peter Lynch has spent the past several years proving through his Irish Times newspaper column and blog, That's Maths.Here, he shows how maths is all around us, with chapters on the beautiful equations behind designing a good concert venue, predicting the stock market and modelling the atom bomb, as well as playful meditations on everything from coin-stacking to cartography. If you left school thinking maths was boring, think again!


Abel’s Theorem in Problems and Solutions

Abel’s Theorem in Problems and Solutions
Author: V.B. Alekseev
Publisher: Springer Science & Business Media
Total Pages: 278
Release: 2007-05-08
Genre: Mathematics
ISBN: 1402021879

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Do formulas exist for the solution to algebraical equations in one variable of any degree like the formulas for quadratic equations? The main aim of this book is to give new geometrical proof of Abel's theorem, as proposed by Professor V.I. Arnold. The theorem states that for general algebraical equations of a degree higher than 4, there are no formulas representing roots of these equations in terms of coefficients with only arithmetic operations and radicals. A secondary, and more important aim of this book, is to acquaint the reader with two very important branches of modern mathematics: group theory and theory of functions of a complex variable. This book also has the added bonus of an extensive appendix devoted to the differential Galois theory, written by Professor A.G. Khovanskii. As this text has been written assuming no specialist prior knowledge and is composed of definitions, examples, problems and solutions, it is suitable for self-study or teaching students of mathematics, from high school to graduate.