Twelve Lectures on Subjects Suggested by His Life and Work

Author: Godfrey Harold Hardy

Publisher: Taylor & Francis US

ISBN: 9780821820230

Category: Mathematics

Page: 254

View: 3264

Another excellent book long out of print but much in demand. This book is pulled together by Ramanujan's primary mentor, G. H. Hardy, who was the first to recognize the amazing nature of Ramanujan's ideas. Another exceptional classic from the Chelsea list.
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Essays and Surveys

Author: Srinivasa Ramanujan Aiyangar,Bruce C. Berndt,Robert Alexander Rankin

Publisher: American Mathematical Soc.

ISBN: 9780821826249

Category: Mathematics

Page: 347

View: 7135

This book contains essays on Ramanujan and his work that were written especially for this volume. It also includes important survey articles in areas influenced by Ramanujan's mathematics. Most of the articles in the book are nontechnical, but even those that are more technical contain substantial sections that will engage the general reader. The book opens with the only four existing photographs of Ramanujan, presenting historical accounts of them and information about other people in the photos. This section includes an account of a cryptic family history written by his younger brother, S. Lakshmi Narasimhan. Following are articles on Ramanujan's illness by R. A. Rankin, the British physician D. A. B. Young, and Nobel laureate S. Chandrasekhar. They present a study of his symptoms, a convincing diagnosis of the cause of his death, and a thorough exposition of Ramanujan's life as a patient in English sanitariums and nursing homes.Following this are biographies of S. Janaki (Mrs. Ramanujan) and S. Narayana Iyer, Chief Accountant of the Madras Port Trust Office, who first communicated Ramanujan's work to the "Journal of the Indian Mathematical Society". The last half of the book begins with a section on 'Ramanujan's Manuscripts and Notebooks'. Included is an important article by G. E. Andrews on Ramanujan's lost notebook. The final two sections feature both nontechnical articles, such as Jonathan and Peter Borwein's 'Ramanujan and pi', and more technical articles by Freeman Dyson, Atle Selberg, Richard Askey, and G. N. Watson. This volume complements the book ""Ramanujan: Letters and Commentary, Volume 9"", in the AMS series, "History of Mathematics". For more on Ramanujan, see these AMS publications, "Ramanujan: Twelve Lectures on Subjects Suggested by His Life and Work, Volume 136", "H, and Collected Papers of Srinivasa Ramanujan, Volume 159", "H", in the AMS Chelsea Publishing series.
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Author: Gabriele Sicuro

Publisher: Springer

ISBN: 3319465775

Category: Science

Page: 136

View: 2629

This thesis discusses the random Euclidean bipartite matching problem, i.e., the matching problem between two different sets of points randomly generated on the Euclidean domain. The presence of both randomness and Euclidean constraints makes the study of the average properties of the solution highly relevant. The thesis reviews a number of known results about both matching problems and Euclidean matching problems. It then goes on to provide a complete and general solution for the one dimensional problem in the case of convex cost functionals and, moreover, discusses a potential approach to the average optimal matching cost and its finite size corrections in the quadratic case. The correlation functions of the optimal matching map in the thermodynamical limit are also analyzed. Lastly, using a functional approach, the thesis puts forward a general recipe for the computation of the correlation function of the optimal matching in any dimension and in a generic domain.
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26th International Symposium, DISC 2012, Salvador, Brazil, October 16-18, 2012, Proceedings

Author: Marcos K. Aguilera

Publisher: Springer

ISBN: 3642336515

Category: Computers

Page: 450

View: 8991

This book constitutes the refereed proceedings of the 26th International Symposium on Distributed Computing, DISC 2012, held in Salvador, Brazil, in October 2012. The 27 revised full papers presented together with 24 brief announcements were carefully reviewed and selected from 119 submissions. The papers are organized in topical sections on shared memory, mobile agents and overlay networks, wireless and multiple access channel networks, dynamic networks, distributed graph algorithms, wireless and loosely connected networks, robots, and lower bounds and separation.
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Author: David Leavitt

Publisher: Bloomsbury Publishing

ISBN: 1408806827

Category: Fiction

Page: 496

View: 5333

January, 1913, Cambridge. G.H. Hardy - eccentric, charismatic and considered the greatest British mathematician of his age - receives a mysterious envelope covered with Indian stamps. Inside he finds a rambling letter from a self-professed mathematical genius who claims to be on the brink of solving the most important mathematical problem of his time. Hardy determines to learn more about this mysterious Indian clerk, Srinivasa Ramanujan, a decision that will profoundly affect not only his own life, and that of his friends, but the entire history of mathematics. Set against the backdrop of the First World War, and populated with such luminaries as D.H. Lawrence and Bertrand Russell, The Indian Clerk fashions from this fascinating period an utterly compelling story about our need to find order in the world. In 2016 a film, The Man Who Knew Infinity, inspired by the same life on which this book is based, was released, starring Dev Patel and Jeremy Irons.
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A Conference on Q-series with Applications to Combinatorics, Number Theory, and Physics, October 26-28, 2000, University of Illinois

Author: Bruce (University of Illinois Berndt,Bruce C. Berndt,Ken Ono

Publisher: American Mathematical Soc.

ISBN: 0821827464

Category: Mathematics

Page: 277

View: 6282

The subject of $q$-series can be said to begin with Euler and his pentagonal number theorem. In fact, $q$-series are sometimes called Eulerian series. Contributions were made by Gauss, Jacobi, and Cauchy, but the first attempt at a systematic development, especially from the point of view of studying series with the products in the summands, was made by E. Heine in 1847. In the latter part of the nineteenth and in the early part of the twentieth centuries, two English mathematicians, L. J. Rogers and F. H. Jackson, made fundamental contributions.In 1940, G. H. Hardy described what we now call Ramanujan's famous $_1\psi_1$ summation theorem as 'a remarkable formula with many parameters'. This is now one of the fundamental theorems of the subject. Despite humble beginnings, the subject of $q$-series has flourished in the past three decades, particularly with its applications to combinatorics, number theory, and physics. During the year 2000, the University of Illinois embraced The Millennial Year in Number Theory. One of the events that year was the conference $q$-Series with Applications to Combinatorics, Number Theory, and Physics. This event gathered mathematicians from the world over to lecture and discuss their research. This volume presents nineteen of the papers presented at the conference. The excellent lectures that are included chart pathways into the future and survey the numerous applications of $q$-series to combinatorics, number theory, and physics.
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Das Leben des genialen Mathematikers Srinivasa Ramanujan

Author: Robert Kanigel

Publisher: Springer-Verlag

ISBN: 3322837696

Category: Science

Page: 331

View: 4620

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Author: David Hilbert,Stefan Cohn-Vossen

Publisher: Springer-Verlag

ISBN: 3662366851

Category: Mathematics

Page: 312

View: 2283

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen für die historische wie auch die disziplingeschichtliche Forschung zur Verfügung, die jeweils im historischen Kontext betrachtet werden müssen. Dieser Titel erschien in der Zeit vor 1945 und wird daher in seiner zeittypischen politisch-ideologischen Ausrichtung vom Verlag nicht beworben.
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BPR

Author: N.A

Publisher: N.A

ISBN: N.A

Category: American literature

Page: N.A

View: 6584

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mit 4 Figuren

Author: Werner Rogosinski

Publisher: N.A

ISBN: N.A

Category: Fourier series

Page: 135

View: 6395

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Author: Paul Leo Butzer,Walter Oberschelp

Publisher: Brepols Publishers

ISBN: N.A

Category: Civilization, Medieval

Page: 571

View: 7933

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The Journal of the Mathematical Association

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 7371

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Author: Edmund Landau

Publisher: American Mathematical Soc.

ISBN: 0821836528

Category: Mathematics

Page: 180

View: 8345

Landau's monumental treatise is a virtual encyclopedia of number theory and is universally recognized as the standard work on the subject. The text is in German.
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Eulers Konstante, Primzahlstrände und die Riemannsche Vermutung

Author: Julian Havil

Publisher: Springer-Verlag

ISBN: 3540484965

Category: Mathematics

Page: 302

View: 356

Jeder kennt p = 3,14159..., viele kennen e = 2,71828..., einige i. Und dann? Die "viertwichtigste" Konstante ist die Eulersche Zahl g = 0,5772156... - benannt nach dem genialen Leonhard Euler (1707-1783). Bis heute ist unbekannt, ob g eine rationale Zahl ist. Das Buch lotet die "obskure" Konstante aus. Die Reise beginnt mit Logarithmen und der harmonischen Reihe. Es folgen Zeta-Funktionen und Eulers wunderbare Identität, Bernoulli-Zahlen, Madelungsche Konstanten, Fettfinger in Wörterbüchern, elende mathematische Würmer und Jeeps in der Wüste. Besser kann man nicht über Mathematik schreiben. Was Julian Havil dazu zu sagen hat, ist spektakulär.
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