constructive interscience approximation missour-columbia

books:

2 reviews
Bruce C. Berndt

Springer, 1997

THOROUGH MATHEMATICAL TREAT
This is a must for Ramanujan freaks.altough very abstract u gotta understand it if u persevere.overall a good book for mathematicians interested in research of ramanujan

Ramanujan's Lost Notebook: Part I
George E. Andrews, Bruce C. Berndt

Springer, 2005

In the spring of 1976, George Andrews of Pennsylvania State University visited the library at Trinity College, Cambridge, to examine the papers of the late G.N. Watson. Among these papers, Andrews discovered a sheaf of 138 pages in the handwriting of Srinivasa Ramanujan. This manuscript was soon designated, "Ramanujan's lost notebook." Its discovery has frequently been deemed the mathematical equivalent of finding Beethoven's tenth symphony. ...

Ramanujan's Notebooks: Part II
Bruce C. Berndt

Springer, 1999

During the years 1903-1914, Ramanujan recorded many of his mathematical discoveries in notebooks without providing proofs. Although many of his results were already in the literature, more were not. Almost a decade after Ramanujan's death in 1920, G.N. Watson and B.M. Wilson began to edit his notebooks but never completed the task. A photostat edition, with no editing, was published by the Tata Institute of Fundamental Research in Bombay in ...

Ramanujan's Notebooks: Part III

1 review
Bruce C. Berndt

Springer, 1997

ramanujan and his letters
i would like to have a glance at your more recent work on letters and memories of ramanujan which is yet to reach our indian market.

Ramanujan: Letters and Commentary (History of Mathematics, Vol 9)

1 review
Bruce C. Berndt and Robert A. Rankin

American Mathemataical Society, 1995

Get personal with Ramanujan through letters
Ramanujan was most certainly the most talented mathematician of this century. With essentially no formal training, he managed to discover an enormous number of formulas, many of which were quite different from those previously known. The story of how he came to the attention of the mathematical community and was brought into "formal" mathematical circles is an interesting one. Given the colonial ...

Gauss and Jacobi Sums (Wiley-Interscience and Canadian Mathematics Series of Monographs and Texts)
Bruce C. Berndt, Ronald J. Evans, ...

Wiley-Interscience, 1998

Devised in the 19th century, Gauss and Jacobi Sums are classical formulas that form the basis for contemporary research in many of today's sciences. This book offers readers a solid grounding on the origin of these abstract, general theories. Though the main focus is on Gauss and Jacobi, the book does explore other relevant formulas, including Cauchy.

Ramanujan's Lost Notebook: Part II
Bruce C. Berndt, George E. Andrews

Springer, 2009

This volume is the second of approximately four volumes that the authors plan to write on Ramanujan?s lost notebook, which is broadly interpreted to include all material published in The Lost Notebook and Other Unpublished Papers in 1988. The primary topics addressed in the authors? second volume on the lost notebook are q-series, Eisenstein series, and theta functions. Most of the entries on q-series are located in the heart of the original ...

Number Theory in the Spirit of Ramanujan
Bruce C. Berndt

American Mathematical Society, 2006

Ramanujan is recognized as one of the great number theorists of the twentieth century. Here now is the first book to provide an introduction to his work in number theory. Most of Ramanujan's work in number theory arose out of $q$-series and theta functions. This book provides an introduction to these two important subjects and to some of the topics in number theory that are inextricably intertwined with them, including the theory of partitions, ...

Ramanujan: Essays and Surveys (History of Mathematics, V. 22)

American Mathematical Society, 2001

This book contains essays on Ramanujan and his work , as well as 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 and information about other people in the photos. ...

Continued Fractions: From Analytic Number Theory to Constructive Approximation May 20-23, 1998 University of ...

American Mathematical Society, 1999

This volume presents the contributions from the international conference held at the University of Missouri at Columbia, marking Professor Lange's 70th birthday and his retirement from the university. The principal purpose of the conference was to focus on continued fractions as a common interdisciplinary theme bridging gaps between a large number of fields---from pure mathematics to mathematical physics and approximation theory. ...

Analytic Number Theory:The Halberstam Festschrift 1 (Progress in Mathematics)

Birkhäuser Boston, 1996

Number Theory and Discrete Mathematics (Trends in Mathematics)

Birkhauser, 2002

This volume contains the proceedings of the International Conference on Number Theory and Discrete Mathematics in honour of Srinivasa Ramanujan, held at the Centre for Advanced Study in Mathematics, Panjab University, Chandigarh, India, during October 2-6, 2000, as contribution to the International Year of Mathematics. It collects 29 articles written by some of the leading specialists worldwide. Most of the papers provide recent trends, problems ...

The Continued Fractions Found in the Unorganized Portions of Ramanujan's Notebooks (Memoirs of the American ...
Bruce C. Berndt, L. Jacobsen, ...

American Mathematical Society, 1993

Among his thirty-three published papers, Ramanujan had only one continued fraction, the Rogers-Ramanujan continued fraction. However, his notebooks contain over 100 results on continued fractions. At the end of his second notebook are 100 pages of unorganized material, and the third notebook comprises thirty-three pages of disorganized results. In these 133 pages of material are approximately sixty theorems on continued fractions, most of ...

Ramanujan's Notebooks: Part IV (Ramanujan's Notebooks)
Bruce C. Berndt

Springer, 1993

During the years 1903-1914, Ramanujan worked in almost complete isolation in India. During this time, he recorded most of his mathematical discoveries without proofs in notebooks. Although many of his results were already found in the literature, most were not. Almost a decade after Ramanujan's death in 1920, G.N. Watson and B.M. Wilson began to edit Ramanujan's notebooks, but they never completed the task. A photostat edition, with no editing, ...

Hecke's Theory of Modular Forms and Dirichlet Series

1 review
Bruce C. Berndt, Marvin I. Knopp

World Scientific Publishing Company, 2008

Berndt book
This is an excellent book. When I think of Berndt I automatically compare any of his works to his book on "Gauss and Jacobi Sums"--which is my all-time second favorite math book. This book is a few rungs below the latter, but well-worth your attention. charlie sanders

search for books
approximation, constructive, interscience, missour-columbia, wiley-interscience

Impressum / about us