Number Theory

Theory and problems of precalculus - download pdf or read online

By Fred Safier

Schaum's has happy scholars for fifty Years.

Now Schaum's largest are in New variants!

For part a century, greater than forty million scholars have depended on Schaum's to aid them research swifter, examine greater, and get best grades. Now Schaum's celebrates its fiftieth birthday with a brand-new glance, a brand new structure with hundreds of thousands of perform difficulties, and entirely up to date info to comply to the most recent advancements in each box of study.

Schaum's Outlines-Problem Solved

More than 100,000 offered!

This ebook has been up to date to mirror the most recent direction scope and series. evaluation difficulties were extra after key chapters in addition to extra supplementary perform difficulties. a casual point dialogue of limits, continuity, and derivatives has additionally been extra, in addition to additional info at the algebra of the dot product, exponential type of advanced numbers, and conic sections in polar coordinates-plus enterprise purposes reminiscent of general price of switch, price/demand and technology functions, together with projectiles.

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Number Theory

Local fields and their extensions by I. B. Fesenko and S. V. Vostokov PDF

By I. B. Fesenko and S. V. Vostokov

This publication is dedicated to the examine of whole discrete valuation fields with ideal residue fields. One precise characteristic is the absence of cohomology; even though so much experts may locate it tricky to conceive of significant discussions during this sector with no the applying of cohomology teams, the authors think that many difficulties could be offered extra rationally whilst in line with extra typical, particular buildings. additionally, a cohomology-free remedy appears to be like optimal if you are first encountering this topic. the most prerequisite is a regular graduate path in algebra, and familiarity with $p$-adic fields can also be important heritage.

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Number Theory

Meine Zahlen, meine Freunde: Glanzlichter der Zahlentheorie by Paulo Ribenboim PDF

By Paulo Ribenboim

Paulo Ribenboim behandelt Zahlen in dieser außergewöhnlichen Sammlung von Übersichtsartikeln wie seine persönlichen Freunde. In leichter und allgemein zugänglicher Sprache berichtet er über Primzahlen, Fibonacci-Zahlen (und das Nordpolarmeer!), die klassischen Arbeiten von Gauss über binäre quadratische Formen, Eulers berühmtes primzahlerzeugendes Polynom, irrationale und transzendente Zahlen.

Nach dem großen Erfolg von „Die Welt der Primzahlen" ist dies das zweite Buch von Paulo Ribenboim, das in deutscher Sprache erscheint.

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Number Theory

Number Theory: An Introduction to Mathematics - download pdf or read online

By W.A. Coppel (auth.)

"Number Theory" is greater than a finished remedy of the topic. it really is an advent to subject matters in larger point arithmetic, and particular in its scope; themes from research, sleek algebra, and discrete arithmetic are all included.

The publication is split into components. half A covers key recommendations of quantity conception and will function a primary path at the topic. half B delves into extra complex subject matters and an exploration of similar arithmetic. half B includes, for instance, entire proofs of the Hasse–Minkowski theorem and the major quantity theorem, in addition to self-contained bills of the nature thought of finite teams and the idea of elliptic functions.

The necessities for this self-contained textual content are parts from linear algebra. beneficial references for the reader are gathered on the finish of every bankruptcy. it's compatible as an advent to raised point arithmetic for undergraduates, or for self-study.

From the reviews:

"This is a e-book which many mathematicians might take pleasure in searching, and one that an exceptional undergraduate should be inspired to learn to benefit anything of the interconnections, which exist among it seems that disparate elements of mathematics."

—Canadian Mathematical Society

"As a resource for info at the 'reach' of quantity conception into different components of arithmetic, it truly is an outstanding work."

—Mathematical organization of America

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Number Theory

Get Introduction to Cyclotomic Fields PDF

By Lawrence C. Washington

Introduction to Cyclotomic Fields is a gently written exposition of a primary region of quantity thought that may be used as a moment path in algebraic quantity conception. beginning at an effortless point, the amount covers p-adic L-functions, category numbers, cyclotomic devices, Fermat's final Theorem, and Iwasawa's conception of Z_p-extensions, major the reader to an figuring out of contemporary examine literature. Many workouts are incorporated.
The moment variation incorporates a new bankruptcy at the paintings of Thaine, Kolyvagin, and Rubin, together with an evidence of the most Conjecture. there's additionally a bankruptcy giving different fresh advancements, together with primality trying out through Jacobi sums and Sinnott's evidence of the vanishing of Iwasawa's f-invariant.

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Number Theory

Download e-book for kindle: Heights in Diophantine Geometry (New Mathematical by Enrico Bombieri

By Enrico Bombieri

Diophantine geometry has been studied by way of quantity theorists for millions of years, because the time of Pythagoras, and has persisted to be a wealthy sector of principles comparable to Fermat's final Theorem, and so much lately the ABC conjecture. This monograph is a bridge among the classical conception and sleek technique through mathematics geometry. The authors offer a transparent direction in the course of the topic for graduate scholars and researchers. they've got re-examined many effects and lots more and plenty of the literature, and supply a radical account of a number of subject matters at a degree now not obvious ahead of in booklet shape. The remedy is basically self-contained, with proofs given in complete aspect.

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Number Theory

Download PDF by Andre Weil: Elliptic Functions according to Eisenstein and Kronecker

By Andre Weil

"As a contribution to the background of arithmetic, this can be a version of its style. whereas adhering to the fundamental outlook of Eisenstein and Kronecker, it presents new perception into their paintings within the gentle of next advancements, correct as much as the current day. As one could anticipate from this writer, it additionally comprises a few pertinent reviews taking a look into the long run. it's not even if only a bankruptcy within the historical past of our topic, yet a wide-ranging survey of 1 of the main energetic branches of arithmetic today. The e-book has its personal very person flavour, reflecting a kind of mixed Eisenstein-Kronecker-Weil character. dependent basically on Eisenstein's method of elliptic features through countless sequence over lattices within the complicated aircraft, it stretches again to the very beginnings at the one hand and reaches ahead to a couple of the latest learn paintings at the different. (...) The chronic reader should be richly rewarded." A. Fröhlich, Bulletin of the London Mathematical Society, 1978

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Number Theory

Download e-book for iPad: Explicit Constructions of Automorphic L-Functions by Stephen Gelbart, Ilya Piatetski-Shapiro, Stephen Rallis

By Stephen Gelbart, Ilya Piatetski-Shapiro, Stephen Rallis

The objective of this learn monograph is to derive the analytic continuation and practical equation of the L-functions hooked up through R.P. Langlands to automorphic representations of reductive algebraic teams. the 1st a part of the booklet (by Piatetski-Shapiro and Rallis) offers with L-functions for the straightforward classical teams; the second one half (by Gelbart and Piatetski-Shapiro) bargains with non-simple teams of the shape G GL(n), with G a quasi-split reductive crew of cut up rank n. the tactic of evidence is to build yes specific zeta-integrals of Rankin-Selberg variety which interpolate the correct Langlands L-functions and will be analyzed through the idea of Eisenstein sequence and intertwining operators. this is often the 1st time such an process has been utilized to such basic periods of teams. the flavour of the neighborhood concept is decidedly illustration theoretic, and the paintings might be of curiosity to researchers in team illustration idea in addition to quantity theory.

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Number Theory

Download e-book for kindle: A comprehensive course in number theory by Alan Baker

By Alan Baker

Built from the author's renowned textual content, A Concise creation to the idea of Numbers, this e-book presents a complete initiation to all of the significant branches of quantity conception. starting with the rudiments of the topic, the writer proceeds to extra complex subject matters, together with components of cryptography and primality checking out, an account of quantity fields within the classical vein together with houses in their devices, beliefs and excellent sessions, features of analytic quantity concept together with reviews of the Riemann zeta-function, the prime-number theorem and primes in arithmetical progressions, an outline of the Hardy-Littlewood and sieve tools from respectively additive and multiplicative quantity concept and an exposition of the mathematics of elliptic curves. The ebook comprises many labored examples, workouts and additional analyzing. Its wider insurance and flexibility make this ebook appropriate for classes extending from the user-friendly to starting graduate stories.

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