Elementary Number Theory (7版)

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【簡介】 Elementary Number Theory, Seventh Edition, is written for the one-semester undergraduate number theory course taken by math majors, secondary education majors, and computer science students. This contemporary text provides a simple account of classical number theory, set against a historical background that shows the subject's evolution from antiquity to recent research. Written in David Burton's engaging style, Elementary Number Theory reveals the attraction that has drawn leading mathematicians and amateurs alike to number theory over the course of history. 【目錄】 1 Preliminaries 2 Divisibility Theory in the Integers 3 Primes and Their Distribution 4 The Theory of Congruences 5 Fermat's Theorem 6 Number-Theoretic Functions 7 Euler's Generalization of Fermat's Theorem 8 Primitive Roots and Indices 9 The Quadratic Reciprocity Law 10 Introduction to Cryptography 11 Numbers of Special Form 12 Certain Nonlinear Diophantine Equations 13 Representation of Integers as Sums of Squares 14 Fibonacci Numbers 15 Continued Fractions 16 Some Recent Developments

Quantum Chromodynamics and the Pomeron (Cambridge Lecture Notes in Physics, Series Number 9)

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This volume describes the Pomeron, an object of crucial importance in very high energy particle physics. Starting with a general description of the Pomeron within the framework of Regge theory, the emergence of the Pomeron within scalar field theory is discussed, providing a natural foundation on which to develop the more realistic case of QCD. The reggeization of the gluon is demonstrated and used to build the Pomeron of perturbative QCD. The dynamical nature of the Pomeron and its role in small-x deep inelastic scattering and in diffractive scattering is also examined in detail. The volume concludes with a study of the colour dipole approach to high energy scattering and the explicit role of unitarity corrections. This book will be of interest to theoretical and experimental particle physicists, and applied mathematicians. First published in 1997, this title has been reissued as an Open Access publication on Cambridge Core. First book on the physics of the Pomeron, fills a gaping hole in the literature Clear pedagogic approach Authors highly regarded for their work in this area; up-to-date with both theory and experiment This title has been reissued as an Open Access publication on Cambridge Core