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Date added | 2018-10-21 |

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Author | Peter Borwein |

Language | English |

ISBN | 0387954449 9780387954448 |

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### Peter Borwein (Author of The Riemann …

goodreads.com/author/show/299057.Peter_BorweinPeter Borwein is the author of The Riemann Hypothesis (3.67 avg rating, 3 ratings, 0 reviews, published 2007), **Computational** **Excursions** in **Analysis** **and** N...

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P. Borwein. **Computational** **Excursions** in **Analysis** **and** **Number** **Theory** "Borwein has collected known results in the direction of several related, appealing, old, open problems (Integer Chebyshev, Prouhet-Tarry-Escott, Erdos-Szekeres, Littlewood). Far from narrow, this interdisciplinary book draws on Diophantine, analytic, **and** probabilistic techniques.

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12.07.2002 · This introduction to **computational** **number** **theory** is centered on a **number** of problems that live at the interface of analytic, **computational** **and** Diophantine **number** **theory**, **and** provides a diverse collection of techniques for solving **number**- **theoretic** …

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Get this from a library! **Computational** **Excursions** in **analysis** **and** **number** **theory**. [Peter B Borwein] -- This book focuses on a variety of problems in **number** **theory** **and** **analysis**. The problems concern polynomials with integer coefficients **and** typically ask something about the size of the polynomial with ...

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The single most useful algorithm of **computational** **number** **theory** is the LLL lattice basis reduction algorithm of Lenstra, Lenstra, **and** Lovász [1982]. It finds a relatively short vector in an integer lattice. In this chapter we give some examples of how LLL can be used to approach some of the central problems of the book.

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This book is designed for a course in **computational** **number** **theory**. It is based around a **number** of difficult old problems that live at the interface of analytic, **computational** **and** Diophantine **number** **theory**.

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### Peter Borwein | Open Library

openlibrary.org/authors/OL2682888A/Peter_Borweinby Peter Borwein, Stephen Choi, Brendan Rooney, **Andrea** Weirathmueller 1 edition - first published in 2007 Download DAISY **Computational** **Excursions** in **Analysis** **and** **Number** **Theory**

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**Computational** **Excursions** in **Analysis** **and** …

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This book is designed for a **computationally** intensive graduate course based around a collection of classical unsolved extremal problems for polynomials. These problems, all of which lend themselves to extensive **computational** exploration, live at the interface of **analysis**, combinatorics **and** **number** **theory** so the techniques involved are diverse.

### Publications by Peter Borwein - Welcome to CECM

cecm.sfu.ca/~pborwein/PAPERS/papers.html2002 **Computational** **excursions** in **analysis** **and** **number** **theory** (MR1912495) 2000 Pi: a source book (MR1746004) 1998 Pi **and** the AGM. A study in analytic **number** **theory** **and** **computational** complexity (MR1641658) 1995 Polynomials **and** polynomial inequalities (MR1367960) 1990 A dictionary of real **numbers** (MR1030542) 1987 Pi **and** the AGM. A study in analytic ...

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**Computational** **excursions** in **analysis** **and** …

worldcat.org/title/computational-excursions-in-analysis-and-number-theory/oclc/909301240
**Computational** **excursions** in **analysis** **and** **number** **theory**. [Peter B Borwein] Home. WorldCat Home About WorldCat Help. Search. Search for Library Items Search for Lists Search for Contacts Search for a Library. Create lists, bibliographies **and** reviews: or Search WorldCat. Find items in ...

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This book is designed for a **computationally** intensive graduate course based around a collection of classical unsolved extremal problems for polynomials. ... **Computational** **Excursions** in **Analysis** **and** **Number** **Theory**. Authors (view affiliations) Peter Borwein; ... Peter Borwein. Pages 1-9. LLL **and** PSLQ. Peter Borwein. Pages 11-13. Pisot **and** Salem ...

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12.07.2002 · **Computational** **Excursions** in **Analysis** **and** **Number** **Theory** "Borwein has collected known results in the direction of several related, appealing, old, open problems (Integer Chebyshev, Prouhet-Tarry-Escott, Erdos-Szekeres, Littlewood). Far from narrow, this interdisciplinary book draws on Diophantine, analytic, **and** probabilistic techniques.

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Pisot **and** Salem **Numbers** | SpringerLink

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**Computational** **Excursions** in **Analysis** **and** **Number** **Theory**. ... Borwein P. (2002) Pisot **and** Salem **Numbers**. In: **Computational** **Excursions** in **Analysis** **and** **Number** **Theory**. CMS Books in Mathematics / Ouvrages de mathématiques de la SMC. Springer, New York, NY.

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**Computational** **excursions** in **analysis** **and** **number** **theory**. [Peter Borwein] Home. WorldCat Home About WorldCat Help. Search. Search for Library Items Search for Lists Search for Contacts Search for a Library. Create lists, bibliographies **and** reviews: or Search WorldCat. Find items in ...

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This book is designed for a topics course in **computational** **number** **theory**. It is based around a **number** of difficult old problems that live at the interface of **analysis** **and** **number** **theory**. Some of these problems are the following: The Integer Chebyshev Problem.

### Peter Borwein - Wikipedia

en.wikipedia.org/wiki/Peter_BorweinFirst interest in mathematics. Borwein was born into a Jewish family. He became interested in **number** **theory** **and** classical **analysis** during his second year of university. He had not previously been interested in math, although his father was the head of the University of Western Ontario's mathematics department **and** his mother is associate dean of medicine there.

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This book is designed for a topics course in **computational** **number** **theory**. It is based around a **number** of difficult old problems that live at the interface of **analysis** **and** **number** **theory**. Some of these problems are the following: The Integer Chebyshev Problem. Find a nonzero polynomial of degree n with integer eoeffieients that has smallest possible supremum norm on the unit interval.

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01.01.2002 · This book is designed for a topics course in **computational** **number** **theory**. It is based around a **number** of difficult old problems that live at the interface of **analysis** **and** **number** **theory**. Some of these problems are the following: The Integer Chebyshev Problem. Find a …

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P. Borwein. **Computational** **Excursions** in **Analysis** **and** **Number** **Theory** "Borwein has collected known results in the direction of several related, appealing, old, open problems (Integer Chebyshev, Prouhet-Tarry-Escott, Erdos-Szekeres, Littlewood). Far from narrow, this interdisciplinary book draws on Diophantine, analytic, **and** probabilistic techniques.

### Introduction | SpringerLink

link.springer.com/chapter/10.1007/978-0-387-21652-2_1Abstract. This book focuses on a variety of old problems in **number** **theory** **and** **analysis**. The problems concern polynomials with integer coefficients **and** typically ask something about the size of the polynomial with an appropriate measure of size **and** often with some restriction on …