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Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics
  • Language: en
  • Pages: 287

Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics

These are the proceedings of the conference "Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics" held at the Department of Mathematics, University of Florida, Gainesville, from November 11 to 13, 1999. The main emphasis of the conference was Com puter Algebra (i. e. symbolic computation) and how it related to the fields of Number Theory, Special Functions, Physics and Combinatorics. A subject that is common to all of these fields is q-series. We brought together those who do symbolic computation with q-series and those who need q-series in cluding workers in Physics and Combinatorics. The goal of the conference was to inform mathematicians and physicists who use q-series of the latest developments in the field of q-series and especially how symbolic computa tion has aided these developments. Over 60 people were invited to participate in the conference. We ended up having 45 participants at the conference, including six one hour plenary speakers and 28 half hour speakers. There were talks in all the areas we were hoping for. There were three software demonstrations.

The Andrews Festschrift
  • Language: en
  • Pages: 426

The Andrews Festschrift

This book contains seventeen contributions made to George Andrews on the occasion of his sixtieth birthday, ranging from classical number theory (the theory of partitions) to classical and algebraic combinatorics. Most of the papers were read at the 42nd session of the Sminaire Lotharingien de Combinatoire that took place at Maratea, Basilicata, in August 1998. This volume contains a long memoir on Ramanujan's Unpublished Manuscript and the Tau functions studied with a contemporary eye, together with several papers dealing with the theory of partitions. There is also a description of a maple package to deal with general q-calculus. More subjects on algebraic combinatorics are developed, especially the theory of Kostka polynomials, the ice square model, the combinatorial theory of classical numbers, a new approach to determinant calculus.

The Maple V Primer, Release 4
  • Language: en
  • Pages: 154

The Maple V Primer, Release 4

  • Type: Book
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  • Published: 2021-02-28
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  • Publisher: CRC Press

Learn how to use the modern techniques offered by Maple V, a powerful and popular computer algebra system. The Maple V Primer: Release 4 covers all the basic topics a reader needs to know to use Maple V in its major revision encompassed in Release 4 to do algebra and calculus, solve equations, graph 2- and 3-dimensional plots, perform simple programming tasks, and prepare mathematical documents. Every common command and function is supported by a specific example, so you won't waste time struggling with the syntax. Graphs, plots, and other Maple output are provided along with the syntax, so the user knows what to expect when she or he uses a particular command. And all the examples come with a short discussion, answering questions you might have about applying the example to your own work. This is a painless - even fun - way to learn how to use Maple V.

Vector Partitions, Visible Points and Ramanujan Functions
  • Language: en
  • Pages: 567

Vector Partitions, Visible Points and Ramanujan Functions

  • Type: Book
  • -
  • Published: 2024-05-29
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  • Publisher: CRC Press

Vector Partitions, Visible Points and Ramanujan Functions offers a novel theory of Vector Partitions, though very much grounded in the long-established work of others, that could be developed as an extension to the existing theory of Integer Partitions. The book is suitable for graduate students in physics, applied mathematics, number theory and computational mathematics. It takes the reader up to research level, presenting new results alongside known classical results from integer partitions and areas of vector and multipartite partition theory. It also sets forth new directions for research for the more advanced reader. Above all, the intention of the book is to bring new inspiration to ot...

My Mathematical Universe: People, Personalities, And The Profession
  • Language: en
  • Pages: 770

My Mathematical Universe: People, Personalities, And The Profession

This is an autobiography and an exposition on the contributions and personalities of many of the leading researchers in mathematics and physics with whom Dr Krishna Alladi, Professor of Mathematics at the University of Florida, has had personal interaction with for over six decades. Discussions of various aspects of the physics and mathematics academic professions are included.Part I begins with the author's unusual and frequent introductions as a young boy to scientific luminaries like Nobel Laureates Niels Bohr, Murray Gell-Mann, and Richard Feynman, in the company of his father, the scientist Alladi Ramakrishnan. Also in Part I is an exciting account of how the author started his research...

Computational and Analytical Mathematics
  • Language: en
  • Pages: 710

Computational and Analytical Mathematics

The research of Jonathan Borwein has had a profound impact on optimization, functional analysis, operations research, mathematical programming, number theory, and experimental mathematics. Having authored more than a dozen books and more than 300 publications, Jonathan Borwein is one of the most productive Canadian mathematicians ever. His research spans pure, applied, and computational mathematics as well as high performance computing, and continues to have an enormous impact: MathSciNet lists more than 2500 citations by more than 1250 authors, and Borwein is one of the 250 most cited mathematicians of the period 1980-1999. He has served the Canadian Mathematics Community through his presid...

Ramanujan's Lost Notebook
  • Language: en
  • Pages: 439

Ramanujan's Lost Notebook

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. This volume is the third of five volumes that the authors plan to write on Ramanujan’s lost notebook and other manuscripts and fragments found in The Lost Notebook and Other Unpublished Papers, published by Narosa in 1988. The ordinary partition functio...

The Maple V Primer, Release 4
  • Language: en
  • Pages: 154

The Maple V Primer, Release 4

  • Type: Book
  • -
  • Published: 2021-02-27
  • -
  • Publisher: CRC Press

Learn how to use the modern techniques offered by Maple V, a powerful and popular computer algebra system. The Maple V Primer: Release 4 covers all the basic topics a reader needs to know to use Maple V in its major revision encompassed in Release 4 to do algebra and calculus, solve equations, graph 2- and 3-dimensional plots, perform simple programming tasks, and prepare mathematical documents. Every common command and function is supported by a specific example, so you won't waste time struggling with the syntax. Graphs, plots, and other Maple output are provided along with the syntax, so the user knows what to expect when she or he uses a particular command. And all the examples come with a short discussion, answering questions you might have about applying the example to your own work. This is a painless - even fun - way to learn how to use Maple V.

Partitions, q-Series, and Modular Forms
  • Language: en
  • Pages: 233

Partitions, q-Series, and Modular Forms

Partitions, q-Series, and Modular Forms contains a collection of research and survey papers that grew out of a Conference on Partitions, q-Series and Modular Forms at the University of Florida, Gainesville in March 2008. It will be of interest to researchers and graduate students that would like to learn of recent developments in the theory of q-series and modular and how it relates to number theory, combinatorics and special functions.

Crusading for Chemistry
  • Language: en
  • Pages: 500

Crusading for Chemistry

In this biography of Charles Holmes Herty (1867–1938), Germaine M. Reed portrays the life and work of an internationally known scientist who contributed greatly to the industry of his native region and who played a significant role in the development of American chemistry. As president of the American Chemical Society, editor of its industrial journal, adviser to the Chemical Foundation, and as a private consultant, Herty promoted southern industrial development through chemistry. On a national level, he promoted military preparedness with the Wilson administration, lobbied Congress for protection of war-born chemical industries, and sought cooperation and research by business, government, and universities. In 1932, he established a pulp and paper laboratory in Savannah, Georgia, to prove that cheap, fast-growing southern pine could replace Canadian spruce in the manufacture of newsprint and white paper. As a direct result of Herty's research and his missionary-like zeal, construction of the south's first newsprint plant was begun near Lufkin, Texas, in 1938.