作者：（印）亚什万特·库马尔·潘瓦尔
页数：273
出版社：哈尔滨工业大学出版社
出版日期：2021
ISBN：9787560344003
电子书格式：pdf/epub/txt
内容简介
本书是一部英文版数学专著。本书篇幅过于短小,以至于像一篇论文.但它确实是一部著作,而且内容还是人们很好感兴趣的斐波那契( Fibonacci)数列。本书的另一个看点是作者是位年轻的印度数学家,这很容易使人联想到那位有名的天才数学家拉马努金本书的写作风格也很像拉马努金,一股脑给出一大堆公式而不加以证明.其实斐波那契数列这片沃土已被前人耕耘了无数次了,好奇的读者可以看看本书作者还能翻出什么宝贝。
目录
TABLE OF CONTENTS
LIST OF FIGURES
LIST OF TABLE
CHAPTER
1.TRODUCTION
1.1 Rabbit Problem
2.HISTORICAL BACKGROUND
3.FONACCI SEQUENCE
3.1 Fibonaccinumbers innature
3.2 The Fibonacci sequence even shows up in music
3.3 The Fibonacci spiral
3.4 Construction ofFibonacci spiral
3.5 second Order recursive sequences
4.GENERALED FIBONACCI SEQUENCES
5.PROPER.OF GENERALED F~ONACCI SEQUENCE
5.1 Generating function
5.2 Binet’s formula
5.3 Limitofthequotientoftwo consecutiveterms
5.4 Catalan’s identity
5.5 Cassini’s identityor simpson’s identity
5.6 docagnes’s identity
6.SUM AND DIFFERENCE OF THE SQUARES 0F THE EVEN GENERALIZED FIBONACCI NUMBERS
7.IDENTITIES 0F GEN.FIBONACCI sEQUENCE
8.CONNECTl0N FORMULAS
9.ANOTHER IMPORTANT FORMULAE
10.IDENTITIES FOR/THE COMMON FACTORS 0F GENFIB0一JAC0.AND JACOBsTHAL—LUCAS NUMBERS
11.COMBrNATORIAL FORMULAS INVOLVING GENERALIZED FIBONACCI sEQUENCE
l1.1 series ofCombinatorial Identities on(n,k)
11.2 series of Combinatorial Identmes on C(n)
12.CONCLUSION
13.BIBLIOGRAPHY
编辑手记
LIST OF FIGURES
LIST OF TABLE
CHAPTER
1.TRODUCTION
1.1 Rabbit Problem
2.HISTORICAL BACKGROUND
3.FONACCI SEQUENCE
3.1 Fibonaccinumbers innature
3.2 The Fibonacci sequence even shows up in music
3.3 The Fibonacci spiral
3.4 Construction ofFibonacci spiral
3.5 second Order recursive sequences
4.GENERALED FIBONACCI SEQUENCES
5.PROPER.OF GENERALED F~ONACCI SEQUENCE
5.1 Generating function
5.2 Binet’s formula
5.3 Limitofthequotientoftwo consecutiveterms
5.4 Catalan’s identity
5.5 Cassini’s identityor simpson’s identity
5.6 docagnes’s identity
6.SUM AND DIFFERENCE OF THE SQUARES 0F THE EVEN GENERALIZED FIBONACCI NUMBERS
7.IDENTITIES 0F GEN.FIBONACCI sEQUENCE
8.CONNECTl0N FORMULAS
9.ANOTHER IMPORTANT FORMULAE
10.IDENTITIES FOR/THE COMMON FACTORS 0F GENFIB0一JAC0.AND JACOBsTHAL—LUCAS NUMBERS
11.COMBrNATORIAL FORMULAS INVOLVING GENERALIZED FIBONACCI sEQUENCE
l1.1 series ofCombinatorial Identities on(n,k)
11.2 series of Combinatorial Identmes on C(n)
12.CONCLUSION
13.BIBLIOGRAPHY
编辑手记
