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The Whole Truth About Whole Numbers An Elementary Introduction to Number Theory
The Whole Truth About Whole Numbers is an introduction to the field of Number Theory for students in non-math and non-science majors who have studied at least two years of high school algebra. Rather than giving brief introductions to a wide variety of topics, this book provides an in-depth introduction to the field of Number Theory. The topics covered are many of those included in an introduct…
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- -
- ISBN/ISSN
- 978-3-319-11035-6
- Collation
- -
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Néron Models and Base Change
Presenting the first systematic treatment of the behavior of Néron models under ramified base change, this book can be read as an introduction to various subtle invariants and constructions related to Néron models of semi-abelian varieties, motivated by concrete research problems and complemented with explicit examples. Néron models of abelian and semi-abelian varieties have become an i…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-26637-4
- Collation
- X, 151
- Series Title
- Lecture Notes in Mathematics
- Call Number
- -
Number Theory: An Introduction via the Density of Primes
Now in its second edition, this textbook provides an introduction and overview of number theory based on the density and properties of the prime numbers. This unique approach offers both a firm background in the standard material of number theory, as well as an overview of the entire discipline. All of the essential topics are covered, such as the fundamental theorem of arithmetic, theory of co…
- Edition
- 2
- ISBN/ISSN
- 978-3-319-43873-3
- Collation
- XIII, 413
- Series Title
- -
- Call Number
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Nonstandard Analysis for the Working Mathematician
Starting with a simple formulation accessible to all mathematicians, this second edition is designed to provide a thorough introduction to nonstandard analysis. Nonstandard analysis is now a well-developed, powerful instrument for solving open problems in almost all disciplines of mathematics; it is often used as a ‘secret weapon’ by those who know the technique. This book illuminates th…
- Edition
- 1
- ISBN/ISSN
- 978-94-017-7326-3
- Collation
- XV, 481
- Series Title
- -
- Call Number
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The Quadratic Reciprocity Law
This book is the English translation of Baumgart’s thesis on the early proofs of the quadratic reciprocity law (“Über das quadratische Reciprocitätsgesetz. Eine vergleichende Darstellung der Beweise”), first published in 1885. It is divided into two parts. The first part presents a very brief history of the development of number theory up to Legendre, as well as detailed descriptions of…
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- ISBN/ISSN
- 978-3-319-16283-6
- Collation
- XIV, 172
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- -
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Women in Numbers Europe Research Directions in Number Theory
Covering topics in graph theory, L-functions, p-adic geometry, Galois representations, elliptic fibrations, genus 3 curves and bad reduction, harmonic analysis, symplectic groups and mould combinatorics, this volume presents a collection of papers covering a wide swath of number theory emerging from the third iteration of the international Women in Numbers conference, “Women in Numbers - Euro…
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- ISBN/ISSN
- 978-3-319-17987-2
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- -
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Families of Automorphic Forms and the Trace Formula
Featuring the work of twenty-three internationally-recognized experts, this volume explores the trace formula, spectra of locally symmetric spaces, p-adic families, and other recent techniques from harmonic analysis and representation theory. Each peer-reviewed submission in this volume, based on the Simons Foundation symposium on families of automorphic forms and the trace formula held i…
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- ISBN/ISSN
- 978-3-319-41424-9
- Collation
- XII, 578
- Series Title
- -
- Call Number
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Advances in the Theory of Numbers: Proceedings of the Thirteenth Conference o…
The theory of numbers continues to occupy a central place in modern mathematics because of both its long history over many centuries as well as its many diverse applications to other fields such as discrete mathematics, cryptography, and coding theory. The proof by Andrew Wiles (with Richard Taylor) of Fermat’s last theorem published in 1995 illustrates the high level of difficulty of problem…
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- Ed. 1
- ISBN/ISSN
- 978-1-4939-3201-6
- Collation
- XX, 235
- Series Title
- Fields Institute Communications
- Call Number
- 510 ADV a
An Introductory Course in Elementary Number Theory
Integers are the building blocks of the theory of numbers. This chapter contains somewhat very simple and obvious observations starting with properties of integers and yet the proofs behind those observations are not as simple. In this chapter we introduce basic operations on integers and some algebraic definitions that will be necessary to understand basic concepts in this book. We then intro…
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- 510 RAJ i
A Computational Introduction to Number Theory and Algebra
All of the mathematics required beyond basic calculus is developed “from scratch.” Moreover, the book generally alternates between “theory” and “applications”: one or two chapters on a particular set of purely mathematical concepts are followed by one or two chapters on algorithms and applications; the mathematics provides the theoretical underpinnings for the applications, while th…
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- 512 SHO c
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