Tag: Arithmetic

Application-Specific Arithmetic Computing Just Right for the Reconfigurable Computer and the Dark Silicon Era


Free Download Application-Specific Arithmetic: Computing Just Right for the Reconfigurable Computer and the Dark Silicon Era by Florent de Dinechin, Martin Kumm
English | March 13, 2024 | ISBN: 3031428072 | 827 pages | MOBI | 58 Mb
Written by two experts of the domain, this book presents the most recent advances in computer arithmetic hardware, with a focus on application-specific arithmetic beyond the classic operators and the standard precisions. It targets silicon designers who have to do better with less in the post-Moore era, and FPGA developers who want to exploit the full possibilities of reconfigurable computing platforms.

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Numerals and Arithmetic in the Middle Ages


Free Download Charles Burnett, "Numerals and Arithmetic in the Middle Ages "
English | ISBN: 1409403688 | 2010 | 382 pages | EPUB | 14 MB
This volume, the third by Charles Burnett in the Variorum series, brings together articles on the different numeral forms used in the Middle Ages, and their use in mathematical and other contexts. Some pieces study the introduction of Hindu-Arabic numerals into Western Europe, documenting, in more detail than anywhere else, the different forms in which they are found, before they acquired the standard shapes with which we are familiar today. Others deal with experiments with other forms of numeration within Latin script: e.g., using the first nine Roman numerals as symbols with place value, abbreviating the Roman numerals, and using the Latin letters as numerals. The author discusses how different types of numerals are used for different purposes, and the application of numerals to the abacus, and to calculation with pen and ink. The studies include the critical edition of several Latin texts.

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Economic Arithmetic A Guide to the Statistical Sources of English Commerce, Industry, and Finance, 1700-1850


Free Download Stanley H. Palmer, "Economic Arithmetic: A Guide to the Statistical Sources of English Commerce, Industry, and Finance, 1700-1850"
English | 2018 | ISBN: 1138707643, 1138707627 | EPUB | pages: 228 | 0.6 mb
Economic history is the most quantitative branch of history, reflecting the interests and profiting from the techniques and concepts of economics. This essay, first published in 1977, provides an extensive contribution to quantitative historiography by delivering a critical guide to the sources of the numerical data of the period 1700 to 1850. This title will be of interest to students of history, finance and economics.

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Basic Structures of Function Field Arithmetic


Free Download Basic Structures of Function Field Arithmetic by David Goss
English | PDF | 1998 | 433 Pages | ISBN : 3540635416 | 53.5 MB
From the reviews:"The book…is a thorough and very readable introduction to the arithmetic of function fields of one variable over a finite field, by an author who has made fundamental contributions to the field. It serves as a definitive reference volume, as well as offering graduate students with a solid understanding of algebraic number theory the opportunity to quickly reach the frontiers of knowledge in an important area of mathematics…The arithmetic of function fields is a universe filled with beautiful surprises, in which familiar objects from classical number theory reappear in new guises, and in which entirely new objects play important roles. Goss’clear exposition and lively style make this book an excellent introduction to this fascinating field." MR 97i:11062.

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Basic Structures of Function Field Arithmetic


Free Download Basic Structures of Function Field Arithmetic by David Goss
English | PDF | 1998 | 433 Pages | ISBN : 3540635416 | 53.5 MB
From the reviews:"The book…is a thorough and very readable introduction to the arithmetic of function fields of one variable over a finite field, by an author who has made fundamental contributions to the field. It serves as a definitive reference volume, as well as offering graduate students with a solid understanding of algebraic number theory the opportunity to quickly reach the frontiers of knowledge in an important area of mathematics…The arithmetic of function fields is a universe filled with beautiful surprises, in which familiar objects from classical number theory reappear in new guises, and in which entirely new objects play important roles. Goss’clear exposition and lively style make this book an excellent introduction to this fascinating field." MR 97i:11062.

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Next Generation Arithmetic Third International Conference, CoNGA 2022, Singapore, March 1-3, 2022, Revised Selected Pap


Free Download John Gustafson, "Next Generation Arithmetic: Third International Conference, CoNGA 2022, Singapore, March 1-3, 2022, Revised Selected Pap"
English | ISBN: 3031097785 | 2022 | 144 pages | PDF | 5 MB
This book constitutes the refereed proceedings of the Third International Conference on Next Generation Arithmetic, CoNGA 2022, which was held in Singapore, during March 1-3, 2022. The 8 full papers included in this book were carefully reviewed and selected from 12 submissions. They deal with emerging technologies for computer arithmetic focusing on the demands of both AI and high-performance computing.

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Arithmetic Geometry


Free Download Arithmetic Geometry by Gary Cornell, Joseph H. Silverman
English | PDF | 1986 | 359 Pages | ISBN : 0387963111 | 31.3 MB
This volume is the result of a (mainly) instructional conference on arithmetic geometry, held from July 30 through August 10, 1984 at the University of Connecticut in Storrs. This volume contains expanded versions of almost all the instructional lectures given during the conference. In addition to these expository lectures, this volume contains a translation into English of Falt ings’ seminal paper which provided the inspiration for the conference. We thank Professor Faltings for his permission to publish the translation and Edward Shipz who did the translation. We thank all the people who spoke at the Storrs conference, both for helping to make it a successful meeting and enabling us to publish this volume. We would especially like to thank David Rohrlich, who delivered the lectures on height functions (Chapter VI) when the second editor was unavoidably detained. In addition to the editors, Michael Artin and John Tate served on the organizing committee for the conference and much of the success of the conference was due to them-our thanks go to them for their assistance. Finally, the conference was only made possible through generous grants from the Vaughn Foundation and the National Science Foundation.

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