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Differential Calculus Books

This section contains free e-books and guides on Differential Calculus, some of the resources in this section can be viewed online and some of them can be downloaded.

Differentiation by Mathtutor

This note explains the following topics: Differentiation from first principles, Differentiating powers of x, Differentiating sines and cosines, Differentiating logs and exponentials, Using a table of derivatives, The quotient rule, The product rule, The chain rule, Parametric differentiation, Differentiation by taking logarithms, Implicit differentiation, Extending the table of derivatives, Tangents and normals, Maxima and minima.

Author(s):

s NAPages

A Collection of Problems in Differential Calculus

This note covers the following topics: Limits and Continuity, Differentiation Rules, Applications of Differentiation, Curve Sketching, Mean Value Theorem, Antiderivatives and Differential Equations, Parametric Equations and Polar Coordinates, True Or False and Multiple Choice Problems.

Author(s):

s 159Pages

Kepler's laws with introduction to differential calculus

This book explain the solution of the following two problems: obtaining of Kepler's laws from Newton's laws and obtaining the fourth Newton's law as a corollary of Kepler's laws. This small book is devoted to the scholars, who are interested in physics and mathematics.

Author(s):

s NAPages

A text book of differential calculus with numerous worked out examples

This book is intended for beginners. Topics covered includes: Fundamental Rules for Differentiation, Tangents and Normals, Asymptotes, Curvature, Envelopes, Curve Tracing, Properties of Special Curves, Successive Differentiation, Rolle's Theorem and Taylor's Theorem, Maxima and Minima, Indeterminate Forms.

Author(s):

s 186Pages

Differential Calculus Simplified to the Bone

This book emphasis on systematic presentation and explanation of basic abstract concepts of differential Calculus. Topics covered includes: Limits, Continuity and Differentiation of Real Functions of One Real Variable, Differentiation and Sketching Graphs Using Analysis.

Author(s):

s 73Pages

Differential calculus for beginners

The present small volume is intended to form a sound introduction to a study of the Differential Calculus suitable for the beginner.

Author(s):

s 293Pages

Elements of the differential and integral calculus

This is an amazing book related to differential and integral calculus.It provides crystal clear explanations, is very consistent and goes gently deeply into each topic.

Author(s):

s 489Pages

Differential And Integral Calculus Lecture Notes (PDF 143P)

Currently this section contains no detailed description for the page, will update this page soon.

Author(s):

s NAPages

Introduction to Differential Calculus (PDF 44P)

This lecture note explains the following topics: What is the derivative, How do we find derivatives, What is differential calculus used for, differentiation from first principles.

Author(s):

s 44Pages

Notes on Partial Differential Equations

This book covers the following topics: Laplace’s equation, Sobolev spaces, Elliptic PDEs, The Heat and Schrodinger Equations, Parabolic Equations, Hyperbolic Equations and Friedrich symmetric systems.

Author(s):

s 242Pages

Introduction to Partial Differential Equations

This book covers the following topics: Ordinary Differential Equations, First Order PDE, Second Order PDE, Characteristics and Canonical Forms, Characteristics and Discontinuities, PDE in N-dimensions The Potential Equation, Harmonic Functions, Green's Function, Consequences of Poisson's Formula The Diffusion Equation, The Wave Equation.

Author(s):

s NAPages

Partial Differential Equations Some Lectures

This book covers the following topics: Basic Topological, Metric and Banach Space Notions, The Riemann Integral and Ordinary Differential Equations, Lebesbgue Integration Theory, Fubini’s Theorem, Approximation Theorems and Convolutions, Hilbert Spaces and Spectral Theory of Compact Operators, Synthesis of Integral and Differential Calculus, Miracle Properties of Banach Spaces.

Author(s):

s NAPages