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Author: Taha Sochi Publisher: Taha Sochi ISBN: Category : Mathematics Languages : en Pages : 178
Book Description
This is the second volume of my book " Notes and Problems in Number Theory". We focus in this volume on the type of problems that develop the basic and most essential skills which are required for dealing with number theory problems. We introduced some new topics in the first chapter (i.e. Introduction), while the remaining chapters are largely dedicated to solved problems from the main topics of elementary number theory (which are introduced in V1 or in the Introduction chapter of the present volume). We also introduced the subject of cryptography and computing in number theory in the last two chapters. So in brief, the materials in this volume are largely a mix of applications to the materials of V1 and some theoretical background of new topics as well as applications to the new topics. As in my previous books, my topmost priority in the structure and presentation is clarity and graduality so that the readers have the best chance of understanding the content with minimum effort and with maximum enjoyment. The book can be used as a text or as a reference for an introductory course on number theory and may also be used for general reading in mathematics (especially by those who have the hobby of problem solving). The book may also be adopted as a source of pedagogical materials which can supplement, for instance, tutorial sessions (e.g. in undergraduate courses on mathematics or computing or cryptography or related subjects).
Author: Taha Sochi Publisher: Taha Sochi ISBN: Category : Mathematics Languages : en Pages : 178
Book Description
This is the second volume of my book " Notes and Problems in Number Theory". We focus in this volume on the type of problems that develop the basic and most essential skills which are required for dealing with number theory problems. We introduced some new topics in the first chapter (i.e. Introduction), while the remaining chapters are largely dedicated to solved problems from the main topics of elementary number theory (which are introduced in V1 or in the Introduction chapter of the present volume). We also introduced the subject of cryptography and computing in number theory in the last two chapters. So in brief, the materials in this volume are largely a mix of applications to the materials of V1 and some theoretical background of new topics as well as applications to the new topics. As in my previous books, my topmost priority in the structure and presentation is clarity and graduality so that the readers have the best chance of understanding the content with minimum effort and with maximum enjoyment. The book can be used as a text or as a reference for an introductory course on number theory and may also be used for general reading in mathematics (especially by those who have the hobby of problem solving). The book may also be adopted as a source of pedagogical materials which can supplement, for instance, tutorial sessions (e.g. in undergraduate courses on mathematics or computing or cryptography or related subjects).
Author: Mladen V. Vassilev-Missana Publisher: Infinite Study ISBN: 1931233896 Category : Mathematics Languages : en Pages : 67
Book Description
Five years after having published the first volume, the authors obtained many new results related to Smarandaches Problems. They are collected in this book and deal with Smarandache sequences, infinite numbers, functions, formulas, conjunctures in Number Theory.
Author: Henri Cohen Publisher: Springer Science & Business Media ISBN: 038749894X Category : Mathematics Languages : en Pages : 619
Book Description
This book deals with several aspects of what is now called "explicit number theory." The central theme is the solution of Diophantine equations, i.e., equations or systems of polynomial equations which must be solved in integers, rational numbers or more generally in algebraic numbers. This theme, in particular, is the central motivation for the modern theory of arithmetic algebraic geometry. In this text, this is considered through three of its most basic aspects. The local aspect, global aspect, and the third aspect is the theory of zeta and L-functions. This last aspect can be considered as a unifying theme for the whole subject.
Author: Bowen Kerins Publisher: American Mathematical Soc. ISBN: 147042195X Category : Education Languages : en Pages : 218
Book Description
Designed for precollege teachers by a collaborative of teachers, educators, and mathematicians, Famous Functions in Number Theory is based on a course offered in the Summer School Teacher Program at the Park City Mathematics Institute. But this book isn't a "course" in the traditional sense. It consists of a carefully sequenced collection of problem sets designed to develop several interconnected mathematical themes, and one of the goals of the problem sets is for readers to uncover these themes for themselves. Famous Functions in Number Theory introduces readers to the use of formal algebra in number theory. Through numerical experiments, participants learn how to use polynomial algebra as a bookkeeping mechanism that allows them to count divisors, build multiplicative functions, and compile multiplicative functions in a certain way that produces new ones. One capstone of the investigations is a beautiful result attributed to Fermat that determines the number of ways a positive integer can be written as a sum of two perfect squares. Famous Functions in Number Theory is a volume of the book series "IAS/PCMI-The Teacher Program Series" published by the American Mathematical Society. Each volume in that series covers the content of one Summer School Teacher Program year and is independent of the rest. Titles in this series are co-published with the Institute for Advanced Study/Park City Mathematics Institute. Members of the Mathematical Association of America (MAA) and the National Council of Teachers of Mathematics (NCTM) receive a 20% discount from list price.
Author: M. Ram Murty Publisher: Springer Science & Business Media ISBN: 0387269983 Category : Mathematics Languages : en Pages : 354
Book Description
The problems are systematically arranged to reveal the evolution of concepts and ideas of the subject Includes various levels of problems - some are easy and straightforward, while others are more challenging All problems are elegantly solved
Author: Wenpeng Zhang Publisher: Infinite Study ISBN: 1931233993 Category : Mathematics Languages : en Pages : 157
Book Description
This book contains 34 papers, most of which were written by participants to the First Northwest Number Theory Conference held in Shangluo Teacher?s College, China, in March, 2005. In this Conference, several professors gave a talk on Smarandache Problems and many participants lectured on them both extensively and intensively. All these papers are original and have been refereed. The themes of these papers range from the mean value or hybrid mean value of Smarandache type functions, the mean value of some famous number theoretic functions acting on the Smarandache sequences, to the convergence property of some infinite series involving the Smarandache type sequences.
Author: Leonard Eugene Dickson Publisher: Legare Street Press ISBN: 9781022895782 Category : Languages : en Pages : 0
Book Description
A landmark work in the field of mathematics, History of the Theory of Numbers - I traces the development of number theory from ancient civilizations to the early 20th century. Written by mathematician Leonard Eugene Dickson, this book is a comprehensive and accessible introduction to the history of one of the most fundamental branches of mathematics. 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 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. 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.
Author: Daniel Shanks Publisher: American Mathematical Society ISBN: 1470476452 Category : Mathematics Languages : en Pages : 321
Book Description
The investigation of three problems, perfect numbers, periodic decimals, and Pythagorean numbers, has given rise to much of elementary number theory. In this book, Daniel Shanks, past editor of Mathematics of Computation, shows how each result leads to further results and conjectures. The outcome is a most exciting and unusual treatment. This edition contains a new chapter presenting research done between 1962 and 1978, emphasizing results that were achieved with the help of computers.
Author: Taha Sochi
Author: Taha Sochi
Author: Mladen V. Vassilev-Missana
Author: Henri Cohen
Author: Richard Guy
Author: Bowen Kerins
Author: M. Ram Murty
Author: Zhang Wenpeng
Author: Wenpeng Zhang
Author: Leonard Eugene Dickson
Author: Daniel Shanks