Differential and Integral Calculus by Daniel Murray - PDF
About this book :-
"Differential and Integral Calculus" by "Daniel Murray" is a comprehensive guide to understanding "differential calculus". The book introduces core concepts such as derivatives, limits, and rates of change in a clear and structured manner. Murray emphasizes logical reasoning and step-by-step explanations, helping students build a strong foundation in calculus theory while developing problem-solving skills.
In addition to differentiation, the text extensively covers "integral calculus", demonstrating how integrals are applied to compute areas, solve equations, and model real-world phenomena. Each chapter includes worked examples and exercises designed to reinforce learning and improve analytical abilities. By blending theory with practical applications, Murray enables readers to connect calculus concepts to fields such as science, engineering, and applied mathematics.
The book also serves as an important resource for "mathematical analysis", linking foundational calculus principles to broader analytical thinking. Ideal for students, educators, and self-learners, Murray’s treatise provides a structured approach to mastering calculus. Its detailed explanations, examples, and exercises make complex topics approachable, ensuring readers gain both conceptual understanding and hands-on experience in differential and integral calculus.
Book Detail :-
Title:
Differential and Integral Calculus by Daniel Murray - PDF
Publisher:
Longmans, Green, and Co.
Year:
1908
Pages:
522
Type:
PDF
Language:
English
ISBN-10 #:
1112278419
ISBN-13 #:
978-1112278419
License:
Public Domain Works
Amazon:
Amazon
About Author :-
The author
Daniel Alexander Murray
was a respected "mathematician", born in Colchester County, Nova?Scotia in 1862. He studied at Dalhousie University and Johns Hopkins University, and also pursued further work in Berlin and Paris. He went on to teach mathematics at New?York?University and Cornell University, then became a professor at Dalhousie University and, after 1907, a professor of applied mathematics at McGill University. He recognized for his expertise in "differential calculus" and "integral calculus". He focused on making complex mathematical concepts clear and accessible to students and scholars. Murray emphasized structured explanations, worked examples, and practical applications, helping learners develop both theoretical understanding and problem-solving skills.
Book Contents :-
DIFFERENTIAL CALCULUS
1. Introductory Problems
2. Algebraic Notions Frequently Used in Calculus
3. Infinitesimals, Derivatives, Differentials, Antiderivatives, and Antidifferentials
4. Differentiation of the Ordinary Functions
5. Some Geometrical, Physical, and Analytical Applications; Geometric Derivatives and Differentials
6. Successive Differentiation
7. Further Analytical and Geometrical Applications
8. Differentiation of Functions of Several Variables
9. Change of Variable
10. Concavity and Convexity; Contact and Curvature; Evolutes and Involutes
11. Rolle's Theorem; Theorems of Mean Value; Approximate Solution of Equations
12. Indeterminate Forms
13. Special Topics Relating to Curves
14. Applications to Motion
15. Infinite Series
16. Taylor's Theorem
17. Applications to Surfaces and Twisted Curves
INTEGRAL CALCULUS
18. Integration
19. Elementary Integrals
20. Simple Geometrical Applications of Integration
21. Integration of Irrational and Trigonometric Functions
22. Approximate Integration; Mechanical Integration
23. Integration of Infinite Series
24. Successive Integration; Multiple Integrals; Applications
25. Further Geometrical Applications of Integration
26. Note on Centre of Mass and Moment of Inertia
27. Differential Equations
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