A Treatise on the

Integral Calculus

and Its ApplicationsWith Numerous Examples

Integral Calculus

and Its ApplicationsWith Numerous Examples

IN writing the present treatise on the integral calculus the object has been to produce a work at once elementary and complete — adapted for the use of beginners, and sufficient for the wants of advanced students. In the selection of the propositions, and in the mode Of establishing them, I have endeavoured to exhibit fully and clearly the principles Of the subject, and to illustrate all their most important results. The process of summation has been repeatedly brought for ward, with the view of securing the attention of the student to the notions which form the true foundation of the Integral Calculus itself, as well as Of its most valuable applications. Considerable space has been devoted to the investigations of the lengths and areas of curves and of the volumes of solids, and an attempt has been made to explain those difficulties which usually perplex beginners — especially with reference to the limits of integrations.

PIBN | 10013339 |

ISBN | 978-1-330-28504-6 |

ISBN (Hardcover) | 978-0-260-15607-5 |

Language | English |

Category | Calculus |

Pages | 414 |

Words | 68137 |

Vocabulary | 1459 |

Electromagnetic

Theory

Vol. 1

Theory

Vol. 1

Treatise on

Infinitesimal

CalculusContaining Differential and Integral Calculus, Calculus of

Variations, Applications to Algebra and Geometry, and Analytical

Mechanics; Integral Calculus and Calculus of Variations

Vol. 2

Infinitesimal

CalculusContaining Differential and Integral Calculus, Calculus of

Variations, Applications to Algebra and Geometry, and Analytical

Mechanics; Integral Calculus and Calculus of Variations

Vol. 2

Treatise on the Integral

Calculus, Containing the

Integration of Explicit

Functions of One VariableTogether With the Theory of Definite

Integrals and of Elliptic Functions

Calculus, Containing the

Integration of Explicit

Functions of One VariableTogether With the Theory of Definite

Integrals and of Elliptic Functions

Functions of a

Complex VariableBeing Part I of Volume II

Complex VariableBeing Part I of Volume II

Key to Plane

Trigonometry

Trigonometry

Hyperbolic

Functions

Functions

The Analytical

Theory

of Heat

Theory

of Heat

Graphical

Calculus

Calculus

Differental

Equations

Equations

A Treatise on

Electricity

and Magnetism

Vol. 1

Electricity

and Magnetism

Vol. 1

An

Introduction

to the Calculus

Introduction

to the Calculus

Integral Calculus

for BeginnersWith an Introduction to the

Study of Differential Equations

for BeginnersWith an Introduction to the

Study of Differential Equations

An Elementary

Course in

Differential

Equations

Course in

Differential

Equations

Elements of

Quaternions

Vol. 1

Quaternions

Vol. 1

A Treatise on the

Integral Calculus

and Its ApplicationsWith Numerous Examples

Integral Calculus

and Its ApplicationsWith Numerous Examples

Vector

AnalysisAn Introduction to Vector-Methods and Their

Various Applications to Physics and Mathematics

AnalysisAn Introduction to Vector-Methods and Their

Various Applications to Physics and Mathematics

A Course in

Mathematical

AnalysisDerivatives and Differentials; Definite Integrals;

Expansion in Series; Applications to Geometry

Vol. 1

Mathematical

AnalysisDerivatives and Differentials; Definite Integrals;

Expansion in Series; Applications to Geometry

Vol. 1

The Elements

of the Integral

CalculusWith Its Applications to Geometry

of the Integral

CalculusWith Its Applications to Geometry

A Treatise on the

Integral CalculusContaining an Elementary Account of

Elliptic Integrals and Applications to

Plane Curves; With Numerous Examples

Vol. 1

Integral CalculusContaining an Elementary Account of

Elliptic Integrals and Applications to

Plane Curves; With Numerous Examples

Vol. 1

Differential

and Integral

Calculus

and Integral

Calculus

1000 Things

Worth

Knowing

Worth

Knowing

An

Introduction

to Mathematics

Introduction

to Mathematics

First Principles of the

Differential and Integral

Calculus, and Their

Applications, According

to the Course of Study

of Coopers Hill College

Differential and Integral

Calculus, and Their

Applications, According

to the Course of Study

of Coopers Hill College

Introduction

to Theory

of Analytic

Function

to Theory

of Analytic

Function

The Collected

Mathematical Papers

of Arthur CayleySupplementary Volume, Contains

Titles of Papers and Index

Mathematical Papers

of Arthur CayleySupplementary Volume, Contains

Titles of Papers and Index

A Rudimentary

Treatise on

the Integral

Calculus

Treatise on

the Integral

Calculus

The

Nature of

Mathematics

Nature of

Mathematics

WinstoweA Novel

Calculus

The Method of

Fluxions and

Infinite SeriesWith Its Application to the

Geometry of Curve-Lines

Fluxions and

Infinite SeriesWith Its Application to the

Geometry of Curve-Lines

A Course in

MathematicsFor Students in Engineering

and Applied Science

Vol. 2

MathematicsFor Students in Engineering

and Applied Science

Vol. 2

Formal Logic

or the Calculus

of Inference,

Necessary

or the Calculus

of Inference,

Necessary

Developing

Mental

Power

Mental

Power

An Elementary

Treatise on Plane

TrigonometryWith Numerous Examples

and Applications

Treatise on Plane

TrigonometryWith Numerous Examples

and Applications

Essentials

of Calculus

of Calculus

A Collection of

Examples of the

Applications of

the Calculus of

Finite Differences

Examples of the

Applications of

the Calculus of

Finite Differences

A Brief History

of MathematicsAn Authorized Translation of Dr. Karl Fink's

Geschichte Der Elementar-Mathematik

of MathematicsAn Authorized Translation of Dr. Karl Fink's

Geschichte Der Elementar-Mathematik

Elements of the

Differential

and Integral

Calculus

Differential

and Integral

Calculus

The Theory

of Heat

Radiation

of Heat

Radiation

Harmonic

Functions

Functions

A Treatise

on Plane

Trigonometry

on Plane

Trigonometry

The Philosophy

of MathematicsTranslated From the Cours De

Philosophie Positive of Auguste Comte

of MathematicsTranslated From the Cours De

Philosophie Positive of Auguste Comte

A History of

Mathematics

Mathematics

The

Calculus for

Engineers

Calculus for

Engineers

The Mathematical

Analysis of LogicBeing an Essay Towards a

Calculus of Deductive Reasoning

Analysis of LogicBeing an Essay Towards a

Calculus of Deductive Reasoning

The Constitution

of Matter Modern

Atomic and

Electron Theories

of Matter Modern

Atomic and

Electron Theories

Elements of the

Infinitesimal

CalculusWith Numerous Examples

and Applications to Analysis

Infinitesimal

CalculusWith Numerous Examples

and Applications to Analysis

Space-Time-Matter

A Text-Book

on Practical

MathematicsFor Advanced Technical Students

on Practical

MathematicsFor Advanced Technical Students

Plane

Trigonometry

Trigonometry

Manual of

Geometrical and

Infinitesimal

Analysis

Geometrical and

Infinitesimal

Analysis

Lectures on

MathematicsDelivered From Aug. 28 to Sept. 9, 1893 Before Members of the

Congress of Mathematics Held in Connection With the World's

Fair in Chicago at Northwestern University, Evanston, Ill

MathematicsDelivered From Aug. 28 to Sept. 9, 1893 Before Members of the

Congress of Mathematics Held in Connection With the World's

Fair in Chicago at Northwestern University, Evanston, Ill

Functions

of a Complex

Variable

Vol. 3

of a Complex

Variable

Vol. 3

Theory

of Heat

of Heat

Differential

and Integral

CalculusWith Examples and Applications

and Integral

CalculusWith Examples and Applications

General Investigations

of Curved Surfaces

of 1827 and 1825Translated With Notes

and a Bibliography

of Curved Surfaces

of 1827 and 1825Translated With Notes

and a Bibliography

A Treatise on

the Calculus

of Finite

Differences

the Calculus

of Finite

Differences

Introduction

to Chemistry

to Chemistry

Differential

and Integral

Calculus

and Integral

Calculus