Differential and Integral Calculus, with Applications by George Greenhill - PDF

About this book :-
"Differential and Integral Calculus, with Applications" by "George Greenhill" is a comprehensive guide to mastering "differential calculus". The book introduces fundamental concepts such as derivatives, limits, and rates of change, presenting them with clear explanations and step-by-step examples. Greenhill’s structured approach emphasizes understanding over memorization, allowing students to build a solid foundation in calculus theory while developing problem-solving skills. In addition to differentiation, the text provides extensive coverage of "integral calculus", demonstrating how integrals are used to calculate areas, solve equations, and model real-world phenomena. Each chapter contains practical examples and exercises designed to reinforce learning and strengthen analytical abilities. By combining theory with applications, Greenhill ensures that readers can see the relevance of calculus in science, engineering, and applied mathematics. The book also serves as an important resource for learning "mathematical analysis", connecting foundational calculus principles to broader analytical reasoning. Ideal for students, educators, and self-learners, Greenhill’s treatise combines clarity, examples, and practical applications to make complex topics approachable. Its step-by-step guidance ensures that learners gain both conceptual understanding and hands-on experience in differential and integral calculus.

Book Detail :-
Title: Differential and Integral Calculus, with Applications by George Greenhill - PDF
Publisher: Macmillan
Year: 1891
Pages: 480
Type: PDF
Language: English
ISBN-10 #: 1361884304
ISBN-13 #: 978-1361884300
License: Public Domain Work
Amazon: Amazon

About Author :-
The author Alfred George Greenhill was a respected "mathematician" and educator, born in Twickenham, London in 1847. He studied at Christ’s Hospital School and St John’s College, Cambridge, and later became Professor of Mathematics at the Royal Military Academy, Woolwich, where he taught from 1876 to 1908. Greenhill known for his work in "differential calculus" and "integral calculus". He focused on creating clear, structured resources that made advanced calculus concepts accessible to students and learners. His contributions to "mathematical analysis" education continue to guide learners and educators, providing a strong foundation in calculus and its applications in science, engineering, and applied mathematics.

Book Contents :-
1. Differentiation — Algebraical and Circular Functions; Exponential, Logarithmic, and Hyperbolic Functions. Differentiation of a Sum, Product and Quotient; Logarithmic Differentiation; Examples 2. Integration — Rational Algebraical Functions; Circular and Hyperbolic Functions; Definite Integrals; Quadratures and Centroids; Rectification; Volumes and Surfaces; Theorems of Pappus; Integration by Parts; Reduction Formulae; Examples 3. Successive Differentiation — Theorem of Leibnitz; Dynamical Applications; Curvature, Evolutes and Involutes; Harmonic Vibration; Maxima and Minima 4. Expansion of Functions — Theorems of Taylor and Maclaurin; Indeterminate Forms; Fourier’s Series 5. Partial Differentiation — Functions of Two or More Independent Variables; Double Integration; The Planimeter; Quantic Functions; Euler’s Theorems; Green’s Theorem 6. Curves in General — Polar Curves; Pedal Curves; Roulettes; Steiner’s Theorems; Inverse and Polar-Reciprocal Curves; Peaucellier’s and Hart’s Parallel Motions; Conjugate Functions and Oblique Trajectories; Curve Tracing

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