Calculus Of Finite Differences Fourth Edition by George Boole - PDF
About this book :-
"Calculus of Finite Differences, Fourth Edition" by George Boole is a foundational work in discrete mathematics, focusing on the study of sequences, series, and the methods of "calculus". Boole provides clear explanations of "finite differences", offering systematic techniques to analyze discrete functions and solve difference equations. The book is designed to guide readers through both theory and practice, making complex mathematical ideas accessible and understandable.
The text covers interpolation, summation of series, and other key topics in discrete mathematics, providing numerous examples and exercises. Boole emphasizes practical "applications", demonstrating how the principles of "finite differences" can be applied to problems in engineering, physics, and mathematical analysis.
Ideal for students, mathematicians, and anyone interested in discrete mathematics, this Fourth Edition remains a classic reference. By combining rigorous theory with real-world "applications", Boole’s work helps readers master the tools of "calculus" and "finite differences", enabling them to analyze and interpret discrete systems effectively. The book continues to influence the study of mathematical sequences and series.
Book Detail :-
Title:
Calculus Of Finite Differences Fourth Edition by George Boole - PDF
Publisher:
Chelsea Publishing Company
Year:
1860
Pages:
370
Type:
PDF
Language:
English
ISBN-10 #:
1436564638
ISBN-13 #:
978-1436564632
License:
Public Domain Work
Amazon:
Amazon
About Author :-
The author
George Boole
(1815–1864) was a British mathematician and logician known for his pioneering work in "calculus" and algebra. He developed methods to analyze sequences and series using "finite differences", laying the groundwork for modern discrete mathematics. Boole emphasized practical "applications", showing how mathematical theory could solve real-world problems. His contributions bridged abstract concepts with applied mathematics, influencing fields like logic, computer science, and engineering. Through his work on "finite differences" and "calculus", Boole provided tools and methods that continue to guide mathematicians, students, and researchers in analyzing patterns and solving mathematical challenges effectively.
Book Contents :-
1. Nature of the Calculus of Finite Differences
2. Direct Theorems of Finite Differences
3. On Interpolation and Mechanical Quadrature
4. Finite Integration and the Summation of Series
5. The Approximate Summation of Series
6. Bernoulli’s Numbers and Factorial Coefficients
7. Convergency and Divergency of Series
8. Exact Theorems
9. Difference-Equations of the First Order
10. General Theory of the Solutions of Difference- and Differential Equations of the First Order
11. Linear Difference-Equations with Constant Coefficients
12. Miscellaneous Propositions and Equations; Simultaneous Equations
13. Linear Equations with Variable Coefficients — Symbolical and General Methods
14. Mixed and Partial Difference-Equations
15. Of the Calculus of Functions
16. Geometrical Applications
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