Gösta Mittag-Leffler
Gösta Mittag-Leffler

Author: Arild Stubhaug

Publisher: Springer Science & Business Media

Published: 2010-08-03

Total Pages: 696

ISBN-13: 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.

Mathematics and Mathematicians
Mathematics and Mathematicians

Author: Lars Gårding

Publisher: American Mathematical Soc.

Published: 1998

Total Pages: 304

ISBN-13: 0821806122

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This book is about mathematics in Sweden between 1630 and 1950 - from S. Klingenstierna to M. Riesz, T. Carleman, and A. Beurling. It tells the story of how continental mathematics came to Sweden, how it was received, and how it inspired new results. The book contains a biography of Gosta Mittag-Leffler, the father of Swedish mathematics, who introduced the Weierstrassian theory of analytic functions and dominated a golden age from 1880 to 1910. Important results are analyzed and re-proved in modern notation, with explanations of their relations to mathematics at the time. The book treats Backlund transformations, Mittag-Leffler's theorem, the Phragmen-Lindelof theorem and Carleman's contributions to the spectral theorem, quantum mechanics, and the asymptotics of eigenvalues and eigenfunctions.

Mittag-Leffler Functions, Related Topics and Applications
Mittag-Leffler Functions, Related Topics and Applications

Author: Rudolf Gorenflo

Publisher: Springer

Published: 2014-10-16

Total Pages: 454

ISBN-13: 3662439301

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As a result of researchers’ and scientists’ increasing interest in pure as well as applied mathematics in non-conventional models, particularly those using fractional calculus, Mittag-Leffler functions have recently caught the interest of the scientific community. Focusing on the theory of the Mittag-Leffler functions, the present volume offers a self-contained, comprehensive treatment, ranging from rather elementary matters to the latest research results. In addition to the theory the authors devote some sections of the work to the applications, treating various situations and processes in viscoelasticity, physics, hydrodynamics, diffusion and wave phenomena, as well as stochastics. In particular the Mittag-Leffler functions allow us to describe phenomena in processes that progress or decay too slowly to be represented by classical functions like the exponential function and its successors. The book is intended for a broad audience, comprising graduate students, university instructors and scientists in the field of pure and applied mathematics, as well as researchers in applied sciences like mathematical physics, theoretical chemistry, bio-mathematics, theory of control and several other related areas.

Poincare and the Three Body Problem
Poincare and the Three Body Problem

Author: June Barrow-Green

Publisher: American Mathematical Soc.

Published: 1997

Total Pages: 294

ISBN-13: 9780821803677

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Poincare's famous memoir on the three body problem arose from his entry in the competition celebrating the 60th birthday of King Oscar of Sweden and Norway. His essay won the prize and was set up in print as a paper in Acta Mathematica when it was found to contain a deep and critical error. In correcting this error Poincare discovered mathematical chaos, as is now clear from June Barrow-Green's pioneering study of a copy of the original memoir annotated by Poincare himself, recently discovered in the Institut Mittag-Leffler in Stockholm. Poincare and the Three Body Problem opens with a discussion of the development of the three body problem itself and Poincare's related earlier work. The book also contains intriguing insights into the contemporary European mathematical community revealed by the workings of the competition. After an account of the discovery of the error and a detailed comparative study of both the original memoir and its rewritten version, the book concludes with an account of the final memoir's reception, influence and impact, and an examination of Poincare's subsequent highly influential work in celestial mechanics.

Mittag-Leffler Functions, Related Topics and Applications
Mittag-Leffler Functions, Related Topics and Applications

Author: Rudolf Gorenflo

Publisher: Springer Nature

Published: 2020-10-27

Total Pages: 548

ISBN-13: 3662615509

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The 2nd edition of this book is essentially an extended version of the 1st and provides a very sound overview of the most important special functions of Fractional Calculus. It has been updated with material from many recent papers and includes several surveys of important results known before the publication of the 1st edition, but not covered there. As a result of researchers’ and scientists’ increasing interest in pure as well as applied mathematics in non-conventional models, particularly those using fractional calculus, Mittag-Leffler functions have caught the interest of the scientific community. Focusing on the theory of Mittag-Leffler functions, this volume offers a self-contained, comprehensive treatment, ranging from rather elementary matters to the latest research results. In addition to the theory the authors devote some sections of the work to applications, treating various situations and processes in viscoelasticity, physics, hydrodynamics, diffusion and wave phenomena, as well as stochastics. In particular, the Mittag-Leffler functions make it possible to describe phenomena in processes that progress or decay too slowly to be represented by classical functions like the exponential function and related special functions. The book is intended for a broad audience, comprising graduate students, university instructors and scientists in the field of pure and applied mathematics, as well as researchers in applied sciences like mathematical physics, theoretical chemistry, bio-mathematics, control theory and several other related areas.

A Russian Childhood
A Russian Childhood

Author: S. Kovalevskaya

Publisher: Springer Science & Business Media

Published: 2013-12-11

Total Pages: 265

ISBN-13: 1475738390

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In the year 1889 Sofya Vasilievna Kovalevskaya, Profes sor of Mathematics at the University of Stockholm, pub lished her recollections of growing up in mid-nineteenth century Russia. Professor Kovalevskaya was already an international celebrity, and partly for the wrong reasons: less as the distinguished mathematician she actually was than as a "mathematical lady"--A bizarre but fascinating phenomenon.* Her book was an immediate success. She had written it in Russian, but its first publication was a translation into Swedish, the language of her adopted homeland, where it appeared thinly disguised as a novel under the title From Russian Ltfe: the Rajevski Sisters (Sonja Kovalevsky. Ur ryska lifvet. Systrarna Rajevski. Heggstrom, 1889). In the following year the book came out in Russia in two *"My gifted Mathematical Assistant Mr. Hammond exclaimed ... 'Why, this is the first handsome mathematical lady I have ever seen!'" Letter to S.V. Kovalevskaya from].]. Sylvester, Professor of Mathe matics, New College, Oxford, Dec. 25, 1886

Fractional Equations and Models
Fractional Equations and Models

Author: Trifce Sandev

Publisher: Springer Nature

Published: 2019-11-23

Total Pages: 357

ISBN-13: 3030296148

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Fractional equations and models play an essential part in the description of anomalous dynamics in complex systems. Recent developments in the modeling of various physical, chemical and biological systems have clearly shown that fractional calculus is not just an exotic mathematical theory, as it might have once seemed. The present book seeks to demonstrate this using various examples of equations and models with fractional and generalized operators. Intended for students and researchers in mathematics, physics, chemistry, biology and engineering, it systematically offers a wealth of useful tools for fractional calculus.

Mathematics Unbound: The Evolution of an International Mathematical Research Community, 1800-1945
Mathematics Unbound: The Evolution of an International Mathematical Research Community, 1800-1945

Author: Karen Hunger Parshall

Publisher: American Mathematical Soc.

Published: 2002

Total Pages: 430

ISBN-13: 0821821245

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Although today's mathematical research community takes its international character very much for granted, this ``global nature'' is relatively recent, having evolved over a period of roughly 150 years-from the beginning of the nineteenth century to the middle of the twentieth century. During this time, the practice of mathematics changed from being centered on a collection of disparate national communities to being characterized by an international group of scholars for whom thegoal of mathematical research and cooperation transcended national boundaries. Yet, the development of an international community was far from smooth and involved obstacles such as war, political upheaval, and national rivalries. Until now, this evolution has been largely overlooked by historians andmathematicians alike. This book addresses the issue by bringing together essays by twenty experts in the history of mathematics who have investigated the genesis of today's international mathematical community. This includes not only developments within component national mathematical communities, such as the growth of societies and journals, but also more wide-ranging political, philosophical, linguistic, and pedagogical issues. The resulting volume is essential reading for anyone interestedin the history of modern mathematics. It will be of interest to mathematicians, historians of mathematics, and historians of science in general.

Remembering Sofya Kovalevskaya
Remembering Sofya Kovalevskaya

Author: Michèle Audin

Publisher: Springer Science & Business Media

Published: 2011-08-17

Total Pages: 288

ISBN-13: 0857299298

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Sofia Kovalevskaya was a brilliant and determined young Russian woman of the 19th century who wanted to become a mathematician and who succeeded, in often difficult circumstances, in becoming arguably the first woman to have a professional university career in the way we understand it today. This memoir, written by a mathematician who specialises in symplectic geometry and integrable systems, is a personal exploration of the life, the writings and the mathematical achievements of a remarkable woman. It emphasises the originality of Kovalevskaya’s work and assesses her legacy and reputation as a mathematician and scientist. Her ideas are explained in a way that is accessible to a general audience, with diagrams, marginal notes and commentary to help explain the mathematical concepts and provide context. This fascinating book, which also examines Kovalevskaya’s love of literature, will be of interest to historians looking for a treatment of the mathematics, and those doing feminist or gender studies.