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A Course In Arithmetic

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A Course In Arithmetic

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Author : J-P. Serre
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

A Course In Arithmetic written by J-P. Serre and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

This book is divided into two parts. The first one is purely algebraic. Its objective is the classification of quadratic forms over the field of rational numbers (Hasse-Minkowski theorem). It is achieved in Chapter IV. The first three chapters contain some preliminaries: quadratic reciprocity law, p-adic fields, Hilbert symbols. Chapter V applies the preceding results to integral quadratic forms of discriminant ± I. These forms occur in various questions: modular functions, differential topology, finite groups. The second part (Chapters VI and VII) uses "analytic" methods (holomor phic functions). Chapter VI gives the proof of the "theorem on arithmetic progressions" due to Dirichlet; this theorem is used at a critical point in the first part (Chapter Ill, no. 2.2). Chapter VII deals with modular forms, and in particular, with theta functions. Some of the quadratic forms of Chapter V reappear here. The two parts correspond to lectures given in 1962 and 1964 to second year students at the Ecole Normale Superieure. A redaction of these lectures in the form of duplicated notes, was made by J.-J. Sansuc (Chapters I-IV) and J.-P. Ramis and G. Ruget (Chapters VI-VII). They were very useful to me; I extend here my gratitude to their authors.

A Course In Arithmetic

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Author : Jean-Pierre Serre
language : en
Publisher:
Release Date : 1973

A Course In Arithmetic written by Jean-Pierre Serre and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Analytic functions categories.

Serre's A Course in Arithmetic is a concentrated, modern introduction to basically three areas of number theory, quadratic forms, Dirichlet's density theorem, and modular forms. The first edition was very well accepted and is now one of the leading introductory texts on the advanced undergraduate or beginning graduate level.From the reviews: ..." The book is carefully written - in particular very much self-contained. As was the intention of the author, it is easily accessible to graduate or even undergraduate students, yet even the advanced mathematician will enjoy reading it. The last chapter, more difficult for the beginner, is an introduction to contemporary problems." American Scientist

Rural Arithmetic

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Author : John E. Calfee
language : en
Publisher:
Release Date : 2016-07-19

Rural Arithmetic written by John E. Calfee and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-19 with Mathematics categories.

Excerpt from Rural Arithmetic: A Course in Arithmetic Intended to Start Children to Thinking and Figuring on Home and Its Improvement The author desires to thank sincerely his students, and also Professors Charles D. Lewis, E. C. Seale, John F. Smith, F. 0. Clark, J. A. Burgess (architect and builder), Dr. W. L. Heizer of the Kentucky State Board of Health, and President Frost of Berea College, for their advice and criticism. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

A Course Of Mathematics

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Author : Charles Hutton
language : en
Publisher:
Release Date : 1836

A Course Of Mathematics written by Charles Hutton and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1836 with Mathematics categories.

Course Of Arithmetic

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Author :
language : en
Publisher:
Release Date : 1887

Course Of Arithmetic written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1887 with Arithmetic categories.

A Brief Course In Arithmetic

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Author : Benjamin Greenleaf
language : en
Publisher: Forgotten Books
Release Date : 2016-12-18

A Brief Course In Arithmetic written by Benjamin Greenleaf and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-18 with Mathematics categories.

Excerpt from A Brief Course in Arithmetic: Oral and Written These figures used alone express the number of units shown by their 'names. 'the zero, or cipher, used alone expresses no units. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

A Brief Course In Arithmetic

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Author : Benjamin Greenleaf
language : en
Publisher: Wentworth Press
Release Date : 2019-02-21

A Brief Course In Arithmetic written by Benjamin Greenleaf and has been published by Wentworth Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-21 with Mathematics categories.

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.