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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.

Differential Calculus Notes For Mathematics 100 and 180

The contents include: The basics, Limits, Derivatives, Applications of derivatives, Numbers, Sets, Other important sets, Functions, Parsing formulas, Inverse functions, Another limit and computing velocity, The limit of a function, Calculating limits with limit laws, Continuity, Revisiting tangent lines, Interpretations of the derivative, Proofs of the arithmetic of derivatives, Derivatives of Exponential Functions, Derivatives of trigonometric functions, The natural logarithm, Implicit Differentiation, Inverse Trigonometric Functions, The Mean Value Theorem, Higher order derivatives, Velocity and acceleration, Related rates, Optimisation, Sketching graphs, Introduction to antiderivatives, Carbon dating, Population growth, Some examples, Further examples, The error in the Taylor polynomial approximations, Local and global maxima and minima, Finding global maxima and minima, Symmetries, A checklist for sketching, Sketching examples, Standard examples, Variations.

Author(s):

s 391Pages

Calculus I Compact Lecture Notes by ACC Coolen

The contents include: Introduction, Proof by induction, Complex numbers, Trigonometric and hyperbolic functions, Functions, limits and differentiation, Integration, Taylorís theorem and series, Exercises.

Author(s):

s 135Pages

Differential Calculus by National Open University of Nigeria

The aims of this note is to position you to a level of competence in the techniques or skills in solving any type of problem on differentiation. Topics covered includes: Basic Properties of Real Number, Functions, Limit, Continuity, Differentiation, Rules of Differentiation, Differentiation of Logarithmic and Exponential Function, Differentiation of Trigonometric and Hyperbolic Function, Application of Differentiation.

Author(s):

s 278Pages

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

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

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, Fubiniís 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