A Treatise on the Calculus of Finite Differences

George Boole

MacMillan and Company, 1872 - Difference equations - 336 pages

Contents

• DIFFERENCE AND SUMCALCULUS: 1
• Differences of Elementary Functions 6 Expansion in factorials: 11
• CHAPTER III: 33
• Nature of the Problem 33 Given values equidistant 34 Not equi: 46
• Meaning of Integration 62 Nature of the constant of Integration: 64
• CHAPTER V: 87
• CHAPTER VI: 107
• Various expressions for Bernoullis NumbersDe Moivres 107: 117
• CHAPTER VII: 123
• Case in which ux has a periodic factor 124 Cauchys: 140
• Necessity for finding the limits of error in our expansions 145: 152
• Genesis 158 Existence of a complete Primitive: 169
• CHAPTER XI: 208
• Introductory remarks 208 Solution of fEux0 209 Solution: 219
• CHAPTER XIII: 236
• CHAPTER XIV: 264
• CHAPTER XV: 291
• CHAPTER XVI: 316

Bibliographic information

• Title: A Treatise on the Calculus of Finite Differences
• Author: George Boole
• Editor: John Fletcher Moulton
• Edition: 2
• Publisher: MacMillan and Company, 1872
• Original from: Harvard University
• Digitized: Mar 6, 2008
• Length: 336 pages