Elementary Number Theory (7th Edition) by David Burton

By David Burton

Straightforward quantity conception, 7th variation, is written for the one-semester undergraduate quantity conception direction taken by means of math majors, secondary schooling majors, and computing device technological know-how scholars. this modern textual content presents an easy account of classical quantity idea, set opposed to a ancient history that exhibits the subject's evolution from antiquity to fresh examine. Written in David Burton’s enticing variety, undemanding quantity concept unearths the appeal that has drawn major mathematicians and amateurs alike to quantity conception over the process historical past.

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Modular Functions and Dirichlet Series in Number Theory by Tom M. Apostol

By Tom M. Apostol

A brand new version of a classical remedy of elliptic and modular features with a few of their number-theoretic functions, this article bargains an up to date bibliography and another therapy of the transformation formulation for the Dedekind eta functionality. It covers many themes, akin to Hecke’s concept of complete types with multiplicative Fourier coefficients, and the final bankruptcy recounts Bohr’s concept of equivalence of common Dirichlet sequence.

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An Introduction to Intersection Homology Theory, Second by Frances Kirwan, Jonathan Woolf

By Frances Kirwan, Jonathan Woolf

Now extra sector of a century outdated, intersection homology concept has confirmed to be a strong device within the learn of the topology of singular areas, with deep hyperlinks to many different components of arithmetic, together with combinatorics, differential equations, team representations, and quantity theory.

Like its predecessor, An creation to Intersection Homology thought, moment variation introduces the ability and wonder of intersection homology, explaining the most rules and omitting, or basically sketching, the tough proofs. It treats either the fundamentals of the topic and a variety of functions, supplying lucid overviews of hugely technical parts that make the topic obtainable and get ready readers for extra complex paintings within the sector. This moment version includes solely new chapters introducing the speculation of Witt areas, perverse sheaves, and the combinatorial intersection cohomology of fanatics.

Intersection homology is a big and growing to be topic that touches on many features of topology, geometry, and algebra. With its transparent factors of the most principles, this publication builds the boldness had to take on extra professional, technical texts and gives a framework in which to put them.

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Einführung in Algebra und Zahlentheorie by Rainer Schulze-Pillot

By Rainer Schulze-Pillot

Das Buch bietet eine neue Stoffzusammenstellung, die elementare Themen aus der Algebra und der Zahlentheorie verknüpft und für die Verwendung in Bachelorstudiengängen und modularisierten Lehramtsstudiengängen konzipiert ist. Es führt die abstrakten Konzepte der Algebra in stetem Kontakt mit konkreten Problemen der elementaren Zahlentheorie und mit Blick auf Anwendungen ein und bietet Ausblicke auf fortgeschrittene Themen. In beiden Gebieten wird ein Stand erreicht, der für Nichtspezialisten das nötige Handwerkszeug für die meisten Anwendungen (etwa in diskreter Mathematik, Kryptographie oder Signalverarbeitung) vermittelt, aber auch zu einer vertieften Beschäftigung mit Algebra und Zahlentheorie anregt und für diese eine gute Ausgangsbasis bildet.

Für die dritte Auflage wurden neben einer allgemeinen Überarbeitung und Fehlerkorrektur zahlreiche Beispiele und Aufgaben neu hinzugefügt. Ferner wird in einem neuen ergänzenden Abschnitt der Beweis der Sätze der linearen Algebra über Normalformen von Matrizen mit Hilfe des Elementarteilersatzes behandelt, da dieser schöne Beweis in Lehrbüchern der Linearen Algebra selten Platz findet.

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Selected Chapters of Geometry, Analysis and Number Theory: by József Sándor

By József Sándor

This e-book makes a speciality of a few very important classical components of Geometry, research and quantity thought. the fabric is split into ten chapters, together with new advances on triangle or tetrahedral inequalities; specific sequences and sequence of actual numbers; a number of algebraic or analytic inequalities with purposes; detailed functions(as Euler gamma and beta services) and unique ability( because the logarithmic, identric, or Seiffert's mean); mathematics services and mathematics inequalities with connections to ideal numbers or similar fields; and lots of extra. the vast majority of the offered themes are according to the unique magazine courses of the writer. This reference paintings may be invaluable for undergraduate college or students; in addition to lecturers, researchers and professors attracted to those fields of arithmetic.

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Topological Algebras With Involution by M. Fragoulopoulou

By M. Fragoulopoulou

This publication familiarizes either well known and basic notions and methods from the idea of non-normed topological algebras with involution, demonstrating with examples and simple effects the need of this angle. the most physique of the booklet is focussed at the Hilbert-space (bounded) illustration thought of topological *-algebras and their topological tensor items, considering that in our actual global, except nearly all of the prevailing unbounded operators, we frequently meet operators which are compelled to be bounded, like on the subject of symmetric *-algebras. So, one will get an account of ways issues behave, while the mathematical constructions are faraway from being algebras endowed with an entire or non-complete algebra norm. In difficulties comparable with mathematical physics, such cases are, certainly, very common.

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