加性組合學-研究問題手冊 (英文) (美)貝拉.巴伊諾克 9787576706277 【台灣高等教育出版社】

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書名：加性組合學-研究問題手冊 (英文)
ISBN：9787576706277
出版社：哈爾濱工業大學
著編譯者：(美)貝拉.巴伊諾克
叢書名：國外優秀數學著作原版系列
頁數：408
所在地：中國大陸 *此為代購商品
書號：1527426
可大量預訂，請先連絡。

內容簡介

現代數學主要對結構感興趣，被選為實現這些結構的那些對象僅僅是作為一般對象生長的基礎。 本書就是這樣一本關於結構的英文版數學專著，具體地說，它是對可以被描述為對加性結構中和集（帶有給定子集項的和的集合）的組合性質的研究，是一本工具類型的書。 本書的中文書名可譯為《加性組合學：研究問題手冊》。

作者簡介

貝拉·巴伊諾克教授是美國蓋茨堡學院的數學教授和校友會主席。他從俄亥俄州立大學獲得了博士學位，並獲得了很多教學獎，包括在蓋茨堡學院獲得的有創造性的教學獎，以及在美國數學協會獲得的克勞福德教學獎。

目錄

Preface
Notations
I Ingredients
1 Number theory
1 1 Divisibility of integers
1 2 Congruences
1 3 The Fundamental Theorem of Number Theory
1 4 Multiplicative number theory
1 5 Additive number theory
2 Combinatorics
2 1 Basic enumeration principles
2 2 Counting lists， sequences， sets， and multisets
2 3 Binomial coefficients and Pascal's Triangle
2 4 Some recurrence relations
2 5 The integer lattice and its layers
3 Group theory
3 1 Finite abelian groups
3 2 Group isomorphisms
3 3 The Fundamental Theorem of Finite Abelian Groups
3 4 Subgroups and cosets
3 5 Subgroups generated by subsets
3 6 Sumsets
II Appetizers
Spherical designs
Caps， centroids， and the game SET
How many elements does it take to span a group?
In pursuit of perfection
The declaration of independence
III Sides
The function vg (n， h)
The function v+(n， h)
The function u(n， m， h)
The function u^(n， m， h)
IV Entrees
A Maximum sumset size
A 1 Unrestricted sumsets
A 1 1 Fixed number of terms
A 1 2 Limited number of terms
A 1 3 Arbitrary number of terms
A 2 Unrestricted signed sumsets
A 2 1 Fixed number of terms
A 2 2 Limited number of terms
A 2 3 Arbitrary numbcr of terms
A 3 Restricted sumsets
A 3 1 Fixed number of terms
A 3 2 Limited number of terms
A 3 3 Arbitrary number of terms
A 4 Restricted signed sumscts
A 4 1 Fixed number of terms
A 4 2 Limited number of terms
A 4 3 Arbitrary number of terms
B Spanning sets
B 1 Unrestricted sumsets
B 1 1 Fixed number of terms
B 1 2 Limited number of terms
B 1 3 Arbitrary number of terms
B 2 Unrestricted signed sumsets
B 2 1 Fixed number of terms
B 2 2 Limited number of terms
B 2 3 Arbitrary number of terms
B 3 Restricted sumsets
B 3 1 Fixed number of terms
B 3 2 Limited number of terms
B 3 3 Arbitrary number of terms
B 4 Restricted signed sumsets
B 4 1 Fixed number of terms
B 4 2 Limited number of terms
B 4 3 Arbitrary number of terms
C Sidon sets
C 1 Unrestricted sumsets
C 1 1 Fixed number of terms
C 1 2 Limited number of terms
C 1 3 Arbitrarv number of terms
C 2 Unrestricted signed sumsets
C 2 1 Fixed number of terms
C 2 2 Limited number of terms
C 2 3 Arbitrary number of terms
C 3 Restricted sumsets
C 3 1 Fixed number cfterms
C 3 2 Limited number cf terms
C 3 3 Arbitrary number cf terms
C 4 Restricted signed sumsets
C 4 1 Fixed number of terms
C 4 2 Limited number of terms
C 4 3 Arbitrary number of terms
D Minimum sumset size
D 1 Unrestricted sumsets
D 1 1 Fixed number of terms
D 1 2 Limited number of terms
D 1 3 Arbitrary number of terms
D 2 Unrestricted signed sumsets
D 2 1 Fixed number of terms
D 2 2 Limited number of terms
D 2 3 Arbitrary number cf terms
D 3 Restricted sumsets
D 3 1 Fixed number of terms
D 3 2 Limited number of terms
D 3 3 Arbitrary number of terms
D 4 Restricted signed sumsets
D 4 1 Fixed number of terms
D 4 2 Limited number of terms
D 4 3 Arbitrary number of terms
E The critical number
E 1 Unrestricted sumsets
E 1 1 Fixed number of terms
E 1 2 Limited number of terms
E 1 3 Arbitrary number of terms
E 2 Unrestricted signed sumsets
E 2 1 Fixed number of terms
E 2 2 Limited number cf terms
E 2 3 Arbitrary number of terms
E 3 Restricted sumsets
E 3 1 Fixed number of terms
E 3 2 Limited number of terms
E 3 3 Arbitrary number of terms
E 4 Restricted signed sumsets
E 4 1 F
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