Nuggets Of Number Theory
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Author |
: Roger B. Nelsen |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 153 |
Release |
: 2018-08-07 |
ISBN-10 |
: 9781470448462 |
ISBN-13 |
: 1470448467 |
Rating |
: 4/5 (62 Downloads) |
Synopsis Nuggets of Number Theory by : Roger B. Nelsen
Nuggets of Number Theory will attract fans of visual thinking, number theory, and surprising connections. This book contains hundreds of visual explanations of results from elementary number theory. Figurate numbers and Pythagorean triples feature prominently, of course, but there are also proofs of Fermat's Little and Wilson's Theorems. Fibonacci and perfect numbers, Pell's equation, and continued fractions all find visual representation in this charming collection. It will be a rich source of visual inspiration for anyone teaching, or learning, number theory and will provide endless pleasure to those interested in looking at number theory with new eyes. [Author]; Roger Nelsen is a long-time contributor of ``Proofs Without Words'' in the MAA's Mathematics Magazine and College Mathematics Journal. This is his twelfth book with MAA Press.
Author |
: Albert H. Beiler |
Publisher |
: Courier Corporation |
Total Pages |
: 383 |
Release |
: 1964-01-01 |
ISBN-10 |
: 9780486210964 |
ISBN-13 |
: 0486210960 |
Rating |
: 4/5 (64 Downloads) |
Synopsis Recreations in the Theory of Numbers by : Albert H. Beiler
Number theory proves to be a virtually inexhaustible source of intriguing puzzle problems. Includes divisors, perfect numbers, the congruences of Gauss, scales of notation, the Pell equation, more. Solutions to all problems.
Author |
: James K. Strayer |
Publisher |
: Waveland Press |
Total Pages |
: 303 |
Release |
: 2001-12-04 |
ISBN-10 |
: 9781478610403 |
ISBN-13 |
: 1478610409 |
Rating |
: 4/5 (03 Downloads) |
Synopsis Elementary Number Theory by : James K. Strayer
In this student-friendly text, Strayer presents all of the topics necessary for a first course in number theory. Additionally, chapters on primitive roots, Diophantine equations, and continued fractions allow instructors the flexibility to tailor the material to meet their own classroom needs. Each chapter concludes with seven Student Projects, one of which always involves programming a calculator or computer. All of the projects not only engage students in solving number-theoretical problems but also help familiarize them with the relevant mathematical literature.
Author |
: David Pengelley |
Publisher |
: American Mathematical Society |
Total Pages |
: 216 |
Release |
: 2023-06-29 |
ISBN-10 |
: 9781470472207 |
ISBN-13 |
: 1470472201 |
Rating |
: 4/5 (07 Downloads) |
Synopsis Number Theory Through the Eyes of Sophie Germain by : David Pengelley
Number Theory Through the Eyes of Sophie Germain: An Inquiry Course is an innovative textbook for an introductory number theory course. Sophie Germain (1776–1831) was largely self-taught in mathematics and, two centuries ago, in solitude, devised and implemented a plan to prove Fermat's Last Theorem. We have only recently completely understood this work from her unpublished letters and manuscripts. David Pengelley has been a driving force in unraveling this mystery and here he masterfully guides his readers along a path of discovery. Germain, because of her circumstances as the first woman to do important original mathematical research, was forced to learn most of what we now include in an undergraduate number theory course for herself. Pengelley has taken excerpts of her writings (and those of others) and, by asking his readers to decipher them, skillfully leads us through an inquiry-based course in elementary number theory. It is a detective story on multiple levels. What is Sophie Germain thinking? What do her mathematical writings mean? How do we understand what she knew and what she was trying to do, where she succeeded and where she didn't? Number Theory Through the Eyes of Sophie Germainis simultaneously a masterpiece of historical scholarship, a guide to reading and teaching from primary-source historical documents, an inquiry-based textbook for introductory number theory, and the riveting story of a major, but still unappreciated, mathematician. Work is required of the reader. Readers are carefully guided to discover and prove almost all results for themselves in a sequence of scaffolded exploratory tasks with hints, fully integrated with the narrative. The difficulty of the inquiry tasks varies considerably, but the author provides the reader with appropriately helpful guidance at every step. An introductory number theory course taught with this text would be a remarkable, potentially life-changing, experience. —Stephen Kennedy, Carleton College and MAA Press
Author |
: Underwood Dudley |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 141 |
Release |
: 2009-12-31 |
ISBN-10 |
: 9780883859186 |
ISBN-13 |
: 0883859181 |
Rating |
: 4/5 (86 Downloads) |
Synopsis A Guide to Elementary Number Theory by : Underwood Dudley
An introductory guide to elementary number theory for advanced undergraduates and graduates.
Author |
: James J. Tattersall |
Publisher |
: Cambridge University Press |
Total Pages |
: 420 |
Release |
: 1999-10-14 |
ISBN-10 |
: 0521585317 |
ISBN-13 |
: 9780521585316 |
Rating |
: 4/5 (17 Downloads) |
Synopsis Elementary Number Theory in Nine Chapters by : James J. Tattersall
This book is intended to serve as a one-semester introductory course in number theory. Throughout the book a historical perspective has been adopted and emphasis is given to some of the subject's applied aspects; in particular the field of cryptography is highlighted. At the heart of the book are the major number theoretic accomplishments of Euclid, Fermat, Gauss, Legendre, and Euler, and to fully illustrate the properties of numbers and concepts developed in the text, a wealth of exercises have been included. It is assumed that the reader will have 'pencil in hand' and ready access to a calculator or computer. For students new to number theory, whatever their background, this is a stimulating and entertaining introduction to the subject.
Author |
: Satyabrota Kundu |
Publisher |
: CRC Press |
Total Pages |
: 366 |
Release |
: 2022-01-31 |
ISBN-10 |
: 9781000562484 |
ISBN-13 |
: 1000562484 |
Rating |
: 4/5 (84 Downloads) |
Synopsis Number Theory and its Applications by : Satyabrota Kundu
Number Theory and its Applications is a textbook for students pursuing mathematics as major in undergraduate and postgraduate courses. Please note: Taylor & Francis does not sell or distribute the print book in India, Pakistan, Nepal, Bhutan, Bangladesh and Sri Lanka.
Author |
: S. Shirali |
Publisher |
: Universities Press |
Total Pages |
: 116 |
Release |
: 2003 |
ISBN-10 |
: 8173714541 |
ISBN-13 |
: 9788173714542 |
Rating |
: 4/5 (41 Downloads) |
Synopsis Number Theory by : S. Shirali
Number Theory has fascinated mathematicians from the most ancient of times. A remarkable feature of number theory is the fact that there is something in it for everyone from puzzle enthusiasts, problem solvers and amatcur mathematicians to professional scientists and technologists.
Author |
: Andre Weil |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 72 |
Release |
: 2012-12-06 |
ISBN-10 |
: 9781461299578 |
ISBN-13 |
: 1461299578 |
Rating |
: 4/5 (78 Downloads) |
Synopsis Number Theory for Beginners by : Andre Weil
In the summer quarter of 1949, I taught a ten-weeks introductory course on number theory at the University of Chicago; it was announced in the catalogue as "Alge bra 251". What made it possible, in the form which I had planned for it, was the fact that Max Rosenlicht, now of the University of California at Berkeley, was then my assistant. According to his recollection, "this was the first and last time, in the his tory of the Chicago department of mathematics, that an assistant worked for his salary". The course consisted of two lectures a week, supplemented by a weekly "laboratory period" where students were given exercises which they were. asked to solve under Max's supervision and (when necessary) with his help. This idea was borrowed from the "Praktikum" of German universi ties. Being alien to the local tradition, it did not work out as well as I had hoped, and student attendance at the problem sessions so on became desultory. v vi Weekly notes were written up by Max Rosenlicht and issued week by week to the students. Rather than a literal reproduction of the course, they should be regarded as its skeleton; they were supplemented by references to stan dard text-books on algebra. Max also contributed by far the larger part of the exercises. None of ,this was meant for publication.
Author |
: Emil Grosswald |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 336 |
Release |
: 2010-02-23 |
ISBN-10 |
: 9780817648381 |
ISBN-13 |
: 0817648380 |
Rating |
: 4/5 (81 Downloads) |
Synopsis Topics from the Theory of Numbers by : Emil Grosswald
Many of the important and creative developments in modern mathematics resulted from attempts to solve questions that originate in number theory. The publication of Emil Grosswald’s classic text presents an illuminating introduction to number theory. Combining the historical developments with the analytical approach, Topics from the Theory of Numbers offers the reader a diverse range of subjects to investigate.