网上购物 货比三家
您现在的位置:快乐比价网 > 图书 > 教育/科技 > 科学与研究 > 商品详情

数论历史:二次型与高次型/History Of The Theory Of Numbers: Quadratic And Higher Forms

分享到:
数论历史:二次型与高次型/History Of The Theory Of Numbers: Quadratic And Higher Forms

最 低 价:¥137.90

定 价:¥153.23

作 者:LeonardEugeneDickson 著

出 版 社:Oversea Publishing House

出版时间:2005-6-1

I S B N:9780486442341

商品详情

编辑推荐

内容简介

The three-volume series History of the Theory of Numbers is the work of the distinguished mathematician Leonard Eugene Dickson, who taught at the University of Chicago for four decades and is celebrated for his many contributions to number theory and group theory. This final volume in the series, which is suitable for upper-level under-graduates and graduate students, is devoted to quadratic and higher forms. It can be read independently of the preceding volumes, which explore divisibility and primality and diophantine analysis.
Topics include reduction and equivalence of binary quadratic forms and representation of integers; composition of binary quadratic forms; the composition of orders and genera; irregular determinants; classes of binary quadratic forms with integral coefficients; binary quadratic forms whose coefficients are complete integers or integers of a field; classes of binary quadratic forms with complex integral coefficients; ternary and quaternary quadratic forms; cubic forms in three or more variables; binary hermitian forms; bilinear forms, matrices, and linear substitutions; congruencial theory of forms; and many other related topics. Indexes of authors cited and subjects appear at the end of the book.

作者简介

目录

I, REDUCTION AND EQUIVALENCE OF BINARY QUADTIE FoaMs, REPRESENTATION OF INTECERS
II. EXPLICTT VALUES OF X,y IN X2+y2=g
III. COMPOSITION OF BINARY QUADmiTIC FORMS
IV. ORDERS AND GENEEA; THEm COMPOSITION
V. IRREGULAR DETERMINANTS
VI. NUMBER OF CLASSES OF BINARY QUADRATIC FORMS WITH INTEGRAL COEFFICIENTS
VII. BINARY QUADRATIC FORMS WHOSE COEFFICIENTS ARE COMPLEX INTEGERS OR IN-TEGERS OF A FIELD
VIII. NUMBER OF CLARSES oF BINARY QUADRATIC FORMS WITH COMPLEX INTEGRAL COER'FICIENTS
IX. TmNARY QU~RATIC FORMS
X. QUARNARY QUARATIC FOR,S
XI. QUARRATIC FORMS IN n VARIABLES
XII. BINARY CVRIC FORMS
XIII. CLIniC FORMS IN THRER OR MORE VARIARLES
XIV. FORMS OF DEGREE N>4
XV. BINARY HERMITIAN FORMS
XVI. HERMITIAN FORMS IN n VARIABLES AND THEIR CONJUGATES
XVII. BILINEAR FORMS, MATRICES, LINEAR SUBSTITUTIONS
XVIII. REPRESENTATION BY POLYNOMIALS MODULO p
Analytic Representation of Substitutions, Polynomials Representing All Integers Modulo p
Polynomials Representing Only Numbers of Prescribed Nature
XIX. CONSRUENCIAL THEORY OF FORMS
Modular Invariants and Covariants
Reduction of Modular Forms to Canonical Types
Formal Modular Invariants and Covariants
AUTHOR INDEX
SUBJECT INDEX

商品评论(0条)

暂无评论!

您的浏览历史

loading 内容加载中,请稍后...