Number Theory Week 2017

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Excursions in Multiplicative Number Theory

Author : Olivier Ramaré
Publisher : Springer Nature
ISBN 13 : 3030731693
Total Pages : 342 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Excursions in Multiplicative Number Theory by : Olivier Ramaré

Download or read book Excursions in Multiplicative Number Theory written by Olivier Ramaré and published by Springer Nature. This book was released on 2022-03-03 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook offers a unique exploration of analytic number theory that is focused on explicit and realistic numerical bounds. By giving precise proofs in simplified settings, the author strategically builds practical tools and insights for exploring the behavior of arithmetical functions. An active learning style is encouraged across nearly three hundred exercises, making this an indispensable resource for both students and instructors. Designed to allow readers several different pathways to progress from basic notions to active areas of research, the book begins with a study of arithmetic functions and notions of arithmetical interest. From here, several guided “walks” invite readers to continue, offering explorations along three broad themes: the convolution method, the Levin–Faĭnleĭb theorem, and the Mellin transform. Having followed any one of the walks, readers will arrive at “higher ground”, where they will find opportunities for extensions and applications, such as the Selberg formula, Brun’s sieve, and the Large Sieve Inequality. Methodology is emphasized throughout, with frequent opportunities to explore numerically using computer algebra packages Pari/GP and Sage. Excursions in Multiplicative Number Theory is ideal for graduate students and upper-level undergraduate students who are familiar with the fundamentals of analytic number theory. It will also appeal to researchers in mathematics and engineering interested in experimental techniques in this active area.

Proceedings of the International Academic Summer Conference on Number Theory and Information Security (NTIS 2023)

Author : Zhiyong Zheng
Publisher : Springer Nature
ISBN 13 : 9464634634
Total Pages : 191 pages
Book Rating : 4.4/5 (646 download)

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Book Synopsis Proceedings of the International Academic Summer Conference on Number Theory and Information Security (NTIS 2023) by : Zhiyong Zheng

Download or read book Proceedings of the International Academic Summer Conference on Number Theory and Information Security (NTIS 2023) written by Zhiyong Zheng and published by Springer Nature. This book was released on 2024 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Invitation to Number Theory

Author : Øystein Ore
Publisher :
ISBN 13 : 9784026583884
Total Pages : 0 pages
Book Rating : 4.5/5 (838 download)

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Book Synopsis Invitation to Number Theory by : Øystein Ore

Download or read book Invitation to Number Theory written by Øystein Ore and published by . This book was released on 1967 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Combinatorial and Additive Number Theory III

Author : Melvyn B. Nathanson
Publisher : Springer Nature
ISBN 13 : 3030311066
Total Pages : 237 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Combinatorial and Additive Number Theory III by : Melvyn B. Nathanson

Download or read book Combinatorial and Additive Number Theory III written by Melvyn B. Nathanson and published by Springer Nature. This book was released on 2019-12-10 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on talks from the 2017 and 2018 Combinatorial and Additive Number Theory (CANT) workshops at the City University of New York, these proceedings offer 17 peer-reviewed and edited papers on current topics in number theory. Held every year since 2003, the workshop series surveys state-of-the-art open problems in combinatorial and additive number theory and related parts of mathematics. Topics featured in this volume include sumsets, partitions, convex polytopes and discrete geometry, Ramsey theory, commutative algebra and discrete geometry, and applications of logic and nonstandard analysis to number theory. Each contribution is dedicated to a specific topic that reflects the latest results by experts in the field. This selection of articles will be of relevance to both researchers and graduate students interested in current progress in number theory.

Research Directions in Number Theory

Author : Jennifer S. Balakrishnan
Publisher : Springer
ISBN 13 : 3030194787
Total Pages : 208 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Research Directions in Number Theory by : Jennifer S. Balakrishnan

Download or read book Research Directions in Number Theory written by Jennifer S. Balakrishnan and published by Springer. This book was released on 2019-08-01 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings collect several number theory articles, most of which were written in connection to the workshop WIN4: Women in Numbers, held in August 2017, at the Banff International Research Station (BIRS) in Banff, Alberta, Canada. It collects papers disseminating research outcomes from collaborations initiated during the workshop as well as other original research contributions involving participants of the WIN workshops. The workshop and this volume are part of the WIN network, aimed at highlighting the research of women and gender minorities in number theory as well as increasing their participation and boosting their potential collaborations in number theory and related fields.

Number Theory

Author : H. Kisilevsky
Publisher : American Mathematical Soc.
ISBN 13 : 0821833316
Total Pages : 329 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Number Theory by : H. Kisilevsky

Download or read book Number Theory written by H. Kisilevsky and published by American Mathematical Soc.. This book was released on 2004 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collects articles from the meeting of the Canadian Number Theory Association held at the Centre de Recherches Mathematiques (CRM) at the University of Montreal. This book covers topics such as algebraic number theory, analytic number theory, arithmetic algebraic geometry, computational number theory, and Diophantine analysis and approximation.

Focus On: 100 Most Popular Television Shows Set in New York City

Author : Wikipedia contributors
Publisher : e-artnow sro
ISBN 13 : 4057664181
Total Pages : 1194 pages
Book Rating : 4.0/5 (576 download)

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Book Synopsis Focus On: 100 Most Popular Television Shows Set in New York City by : Wikipedia contributors

Download or read book Focus On: 100 Most Popular Television Shows Set in New York City written by Wikipedia contributors and published by e-artnow sro. This book was released on with total page 1194 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Number Theory and Symmetry

Author : Michel Planat
Publisher : MDPI
ISBN 13 : 3039366866
Total Pages : 206 pages
Book Rating : 4.0/5 (393 download)

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Book Synopsis Number Theory and Symmetry by : Michel Planat

Download or read book Number Theory and Symmetry written by Michel Planat and published by MDPI. This book was released on 2021-01-20 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: According to Carl Friedrich Gauss (1777–1855), mathematics is the queen of the sciences—and number theory is the queen of mathematics. Numbers (integers, algebraic integers, transcendental numbers, p-adic numbers) and symmetries are investigated in the nine refereed papers of this MDPI issue. This book shows how symmetry pervades number theory. In particular, it highlights connections between symmetry and number theory, quantum computing and elementary particles (thanks to 3-manifolds), and other branches of mathematics (such as probability spaces) and revisits standard subjects (such as the Sieve procedure, primality tests, and Pascal’s triangle). The book should be of interest to all mathematicians, and physicists.

Invitation to Number Theory

Author : Oystein Ore
Publisher : American Mathematical Soc.
ISBN 13 : 0883856530
Total Pages : 148 pages
Book Rating : 4.8/5 (838 download)

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Book Synopsis Invitation to Number Theory by : Oystein Ore

Download or read book Invitation to Number Theory written by Oystein Ore and published by American Mathematical Soc.. This book was released on 2017-12-29 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: Number theory is the branch of mathematics concerned with the counting numbers, 1, 2, 3, … and their multiples and factors. Of particular importance are odd and even numbers, squares and cubes, and prime numbers. But in spite of their simplicity, you will meet a multitude of topics in this book: magic squares, cryptarithms, finding the day of the week for a given date, constructing regular polygons, pythagorean triples, and many more. In this revised edition, John Watkins and Robin Wilson have updated the text to bring it in line with contemporary developments. They have added new material on Fermat's Last Theorem, the role of computers in number theory, and the use of number theory in cryptography, and have made numerous minor changes in the presentation and layout of the text and the exercises.

An introduction to the theory of numbers

Author : Ivan Niven
Publisher :
ISBN 13 : 9780852266304
Total Pages : 288 pages
Book Rating : 4.2/5 (663 download)

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Book Synopsis An introduction to the theory of numbers by : Ivan Niven

Download or read book An introduction to the theory of numbers written by Ivan Niven and published by . This book was released on 1993 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Number Theory

Author : Tristin Cleveland
Publisher : Scientific e-Resources
ISBN 13 : 1839473266
Total Pages : 327 pages
Book Rating : 4.8/5 (394 download)

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Book Synopsis Number Theory by : Tristin Cleveland

Download or read book Number Theory written by Tristin Cleveland and published by Scientific e-Resources. This book was released on 2018-04-11 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: In spite of the fact that arithmetic majors are generally familiar with number hypothesis when they have finished a course in conceptual polynomial math, different students, particularly those in training and the human sciences, regularly require a more essential prologue to the theme. In this book the writer takes care of the issue of keeping up the enthusiasm of understudies at the two levels by offering a combinatorial way to deal with basic number hypothesis. In concentrate number hypothesis from such a point of view, arithmetic majors are saved reiteration and furnished with new bits of knowledge, while different understudies advantage from the subsequent effortlessness of the verifications for some hypotheses. Of specific significance in this content is the creator's accentuation on the estimation of numerical cases in number hypothesis and the part of PCs in getting such illustrations. The point of this book is to acquaint the reader with essential subjects in number hypothesis: hypothesis of distinctness, arithmetrical capacities, prime numbers, geometry of numbers, added substance number hypothesis, probabilistic number hypothesis, hypothesis of Diophantine approximations and logarithmic number hypothesis.

Number Theory

Author : Canadian Number Theory Association. Conference
Publisher : American Mathematical Soc.
ISBN 13 : 0821809644
Total Pages : 426 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Number Theory by : Canadian Number Theory Association. Conference

Download or read book Number Theory written by Canadian Number Theory Association. Conference and published by American Mathematical Soc.. This book was released on 1999 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains papers presented at the Fifth Canadian Number Theory Association (CNTA) conference held at Carleton University Ottawa, Ontario. The invited speakers focused on arithmetic algebraic geometry and elliptic curves, diophantine problems, analytic number theory, and algebraic and computational number theory. The contributed talks represented a wide variety of areas in number theory. David Boyd gave an hour-long talk on Mahler's Measure and Elliptic Curves. This lecture was open to the public and attracted a large audience from outside the conference.

Algebraic Geometry and Number Theory

Author : Hussein Mourtada
Publisher : Birkhäuser
ISBN 13 : 331947779X
Total Pages : 240 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Algebraic Geometry and Number Theory by : Hussein Mourtada

Download or read book Algebraic Geometry and Number Theory written by Hussein Mourtada and published by Birkhäuser. This book was released on 2017-05-07 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This lecture notes volume presents significant contributions from the “Algebraic Geometry and Number Theory” Summer School, held at Galatasaray University, Istanbul, June 2-13, 2014. It addresses subjects ranging from Arakelov geometry and Iwasawa theory to classical projective geometry, birational geometry and equivariant cohomology. Its main aim is to introduce these contemporary research topics to graduate students who plan to specialize in the area of algebraic geometry and/or number theory. All contributions combine main concepts and techniques with motivating examples and illustrative problems for the covered subjects. Naturally, the book will also be of interest to researchers working in algebraic geometry, number theory and related fields.

Putnam and Beyond

Author : Răzvan Gelca
Publisher : Springer
ISBN 13 : 3319589881
Total Pages : 857 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Putnam and Beyond by : Răzvan Gelca

Download or read book Putnam and Beyond written by Răzvan Gelca and published by Springer. This book was released on 2017-09-19 with total page 857 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book takes the reader on a journey through the world of college mathematics, focusing on some of the most important concepts and results in the theories of polynomials, linear algebra, real analysis, differential equations, coordinate geometry, trigonometry, elementary number theory, combinatorics, and probability. Preliminary material provides an overview of common methods of proof: argument by contradiction, mathematical induction, pigeonhole principle, ordered sets, and invariants. Each chapter systematically presents a single subject within which problems are clustered in each section according to the specific topic. The exposition is driven by nearly 1300 problems and examples chosen from numerous sources from around the world; many original contributions come from the authors. The source, author, and historical background are cited whenever possible. Complete solutions to all problems are given at the end of the book. This second edition includes new sections on quad ratic polynomials, curves in the plane, quadratic fields, combinatorics of numbers, and graph theory, and added problems or theoretical expansion of sections on polynomials, matrices, abstract algebra, limits of sequences and functions, derivatives and their applications, Stokes' theorem, analytical geometry, combinatorial geometry, and counting strategies. Using the W.L. Putnam Mathematical Competition for undergraduates as an inspiring symbol to build an appropriate math background for graduate studies in pure or applied mathematics, the reader is eased into transitioning from problem-solving at the high school level to the university and beyond, that is, to mathematical research. This work may be used as a study guide for the Putnam exam, as a text for many different problem-solving courses, and as a source of problems for standard courses in undergraduate mathematics. Putnam and Beyond is organized for independent study by undergraduate and gradu ate students, as well as teachers and researchers in the physical sciences who wish to expand their mathematical horizons.

A Course in Computational Algebraic Number Theory

Author : Henri Cohen
Publisher : Springer Science & Business Media
ISBN 13 : 3662029456
Total Pages : 556 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis A Course in Computational Algebraic Number Theory by : Henri Cohen

Download or read book A Course in Computational Algebraic Number Theory written by Henri Cohen and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: A description of 148 algorithms fundamental to number-theoretic computations, in particular for computations related to algebraic number theory, elliptic curves, primality testing and factoring. The first seven chapters guide readers to the heart of current research in computational algebraic number theory, including recent algorithms for computing class groups and units, as well as elliptic curve computations, while the last three chapters survey factoring and primality testing methods, including a detailed description of the number field sieve algorithm. The whole is rounded off with a description of available computer packages and some useful tables, backed by numerous exercises. Written by an authority in the field, and one with great practical and teaching experience, this is certain to become the standard and indispensable reference on the subject.

Target XAT 2018 (Past Papers 2005 - 2017 + 5 Mock Tests) - 9th Revised Edition

Author : Disha Experts
Publisher : Disha Publications
ISBN 13 : 9386629429
Total Pages : 494 pages
Book Rating : 4.3/5 (866 download)

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Book Synopsis Target XAT 2018 (Past Papers 2005 - 2017 + 5 Mock Tests) - 9th Revised Edition by : Disha Experts

Download or read book Target XAT 2018 (Past Papers 2005 - 2017 + 5 Mock Tests) - 9th Revised Edition written by Disha Experts and published by Disha Publications. This book was released on 2017-09-01 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: Target XAT 2018 provides the detailed Solutions to XAT 2005 to XAT 2017 original Question Papers. The book also provides the topics of the essays asked in each of these XAT examinations. The book also contains 5 Mock tests designed exactly as per the latest pattern of XAT. Each Mock Test has 2 parts as per the new format. Part I contains questions on Decision Making, English Language & Logical Reasoning and Quantitative Ability whereas Part 2 contains Essay Writing and questions on General Awareness on Business Environment, Economics and Polity. The detailed solution to each test is provided at the end of the book. The book also contains the list of essays asked in the last 13 years of XAT and a list of essays for practice.

Numberama Recreational Number Theory In The School System

Author : Elliot Benjamin
Publisher : Bentham Science Publishers
ISBN 13 : 1681085127
Total Pages : 161 pages
Book Rating : 4.6/5 (81 download)

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Book Synopsis Numberama Recreational Number Theory In The School System by : Elliot Benjamin

Download or read book Numberama Recreational Number Theory In The School System written by Elliot Benjamin and published by Bentham Science Publishers. This book was released on 2017-06-23 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numberama: Recreational Number Theory in the School System presents number patterns and mathematical formulas that can be taught to children in schools. The number theories and problems are reinforced by enjoyable games that children can play to enhance their learning in a fun-loving way. Key features of the book include: • information about a number of well-known number theory problems such as Fibonaccci numbers, triangular numbers, perfect numbers, sums of squares, and Diophantine equations • organized presentation based on skill level for easy understanding • all basic mathematical operations for elementary school children • a range of algebraic formulae for middle school students • descriptions of positive feedback and testimonials where recreational number theory has been effective in schools and education programs This book is a useful handbook for elementary and middle-school teachers, students, and parents who will be able to experience the inherent joys brought by teaching number theory to children in a recreational way.