Elements of

Analytical

Geometry and of the

Differential and

Integral Calculus

Analytical

Geometry and of the

Differential and

Integral Calculus

The following treatise on Analytical Geometry and the Cal culus constitutes the fourth volume of a course of Mathematics designed for Colleges and High Schools, and is prepared upon substantially the same model as the preceding volumes. It was written, not for mathematicians, nor for those who have a pe culiar talent or fondness for the mathematics, but rather for the mass of college students of average abilities. I have, there fore, labored to smooth down the asperities of the road so as not to discourage travelers of moderate strength and courage; but have purposely left some difficulties, to arouse the energies and strengthen the faculties of the beginner. In a course of liberal education, the primary object in studying the mathe maties should be the discipline of the mental powers. This discipline is alike important to the physician and the divine, the jurist and the statesman, and it is more effectually secured by mathematical studies than by any other method hitherto proposed. Hence the mathematics should occupy a prominent place in an education preparatory to either of the learned pro fessions. But, in order to secure the desired advantage, it is indispensable that the student should comprehend the reasons of the processes through which he is conducted. How can he be expected to learn the art of reasoning well, unless he see clearly the foundations of the principles which are taught? This remark applies to every branch of mathematical study, but perhaps to none with the same force as to the Differential and Integral Calculus. The principles of the Calculus are fur ther removed from the elementary conceptions of the mass of mankind than either Algebra, Geometry, or Trigonometry, and they require to be developed with corresponding care. It is quite possible for a student to learn the rules of the Calculus.

PIBN | 10016357 |

ISBN | 978-1-330-06288-3 |

ISBN (Hardcover) | 978-0-331-92957-7 |

Language | English |

Category | Calculus |

Pages | 294 |

Words | 56596 |

Vocabulary | 1162 |

Manual of

Geometrical and

Infinitesimal

Analysis

Geometrical and

Infinitesimal

Analysis

An Elementary

Course in

Differential

Equations

Course in

Differential

Equations

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

Graphical

Calculus

Calculus

Automotive

Magneto IgnitionIts Principle and Application, With

Special Reference to Aviation Engines

Magneto IgnitionIts Principle and Application, With

Special Reference to Aviation Engines

Differential

Calculus for

Beginners

Calculus for

Beginners

Experimental

ScienceElementary, Practical

and Experimental Physics

Vol. 2

ScienceElementary, Practical

and Experimental Physics

Vol. 2

Elements of

Analytical

Geometry, and of the

Differential and

Integral Calculus

Analytical

Geometry, and of the

Differential and

Integral Calculus

Elements of

Analytical

Geometry and of the

Differential and

Integral Calculus

Analytical

Geometry and of the

Differential and

Integral Calculus

Hyperbolic

Functions

Functions

Alternating

Current

Motors

Current

Motors

The

Calculus for

Engineers

Calculus for

Engineers

Harmonic

Functions

Functions

The Solutions of

the Geometrical

Problems

the Geometrical

Problems

An

Introduction

to Mathematics

Introduction

to Mathematics

The Theory

of Relativity

of Relativity

An Elementary

Treatise on Electrical

MeasurementFor the Use of Telegraph

Inspectors and Operators

Treatise on Electrical

MeasurementFor the Use of Telegraph

Inspectors and Operators

An Elementary

Treatise on the

Differential CalculusWith Applications and

Numerous Examples

Treatise on the

Differential CalculusWith Applications and

Numerous Examples

Analytic

GeometryWith Introductory

Chapter on the Calculus

GeometryWith Introductory

Chapter on the Calculus

Analytic

Geometry

Geometry

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

The Master

Mason's

Handbook

Mason's

Handbook

Catalogue of Edison-Lalande

Batteries, Edison Motors and Fan

Outfits, Edison Projecting

Kinetoscopes, Edison X-Ray Apparatus,

Edison Cautery Transformers, Edison

Electro-Medical Appliances

Manufactured by Edison

Manufacturing Thomas an Edison,

Proprietor

Batteries, Edison Motors and Fan

Outfits, Edison Projecting

Kinetoscopes, Edison X-Ray Apparatus,

Edison Cautery Transformers, Edison

Electro-Medical Appliances

Manufactured by Edison

Manufacturing Thomas an Edison,

Proprietor

Differential

and Integral

Calculus

and Integral

Calculus

Correlated

Mathematics for

Junior Colleges

Mathematics for

Junior Colleges

Analytic Geometry

for Colleges,

Universities, and

Technical Schools

for Colleges,

Universities, and

Technical Schools

The Elements

of Analytic

Geometry

of Analytic

Geometry

A Treatise

on Algebraic

Geometry

on Algebraic

Geometry

Electricity

and

Magnetism

and

Magnetism

A History of

Mathematics

Mathematics

A Treatise on

Analytical

Geometry

Analytical

Geometry

Calculus

A Popular Treatise on

Voltaic Electricity

Electro-MagnetismIllustrated by Numerous

Interesting Experiments

Voltaic Electricity

Electro-MagnetismIllustrated by Numerous

Interesting Experiments

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

An Elementary

Treatise on the

Differential CalculusFounded on the Method

of Rates or Fluxions

Treatise on the

Differential CalculusFounded on the Method

of Rates or Fluxions

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

The Induction Coil

in Practical Work,

Including Rontgen

X-Rays Rays

in Practical Work,

Including Rontgen

X-Rays Rays

A Treatise on

Analytical Geometry

of Tree DimensionsContaining the Theory of Curve Surfaces,

and of Curves of Double Curvature

Analytical Geometry

of Tree DimensionsContaining the Theory of Curve Surfaces,

and of Curves of Double Curvature

The Philosophy

of MathematicsTranslated From the Cours De

Philosophie Positive of Auguste Comte

of MathematicsTranslated From the Cours De

Philosophie Positive of Auguste Comte

Electricity

The

Nature of

Mathematics

Nature of

Mathematics

Analytic

Geometry

Geometry

High Frequency

CurrentsTheir Production, Physical Properties,

Physiological Effects, and Therapeutical Uses

CurrentsTheir Production, Physical Properties,

Physiological Effects, and Therapeutical Uses

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

Induction

CoilsA Practical Manual for

Amateur Coil-Makers

CoilsA Practical Manual for

Amateur Coil-Makers

An Elementary

Treatise on

Variable Quantities,

in Two PartsThe Direct and Inverse

Vol. 1 of 2

Treatise on

Variable Quantities,

in Two PartsThe Direct and Inverse

Vol. 1 of 2

The Origin of

Freemasonry and

Knights Templar

Freemasonry and

Knights Templar

Elements of

Quaternions

Vol. 1

Quaternions

Vol. 1

A Treatise on the

Analytical Geometry of

the Point, Line, Circle,

and Conic SectionsContaining an Account of Its Most Recent

Extensions, With Numerous Examples

Analytical Geometry of

the Point, Line, Circle,

and Conic SectionsContaining an Account of Its Most Recent

Extensions, With Numerous Examples

Astronomy

for All

for All

A Treatise on

the Calculus

of Finite

Differences

the Calculus

of Finite

Differences

Electrical

EnergyIts Generation,

Transmission, and Utilization

EnergyIts Generation,

Transmission, and Utilization

An Elementary Treatise on

Analytical Geometry, Embracing

Plane Co-Ordinate Geometry

and an Introduction to

Geometry of Three DimensionsDesigned as a Text-Book for Colleges and Scientific Schools

Analytical Geometry, Embracing

Plane Co-Ordinate Geometry

and an Introduction to

Geometry of Three DimensionsDesigned as a Text-Book for Colleges and Scientific Schools

History of

Modern

Mathematics

Modern

Mathematics

Elements

of Analytic

Geometry

of Analytic

Geometry

The Concepts

and Theories of

Modern Physics

and Theories of

Modern Physics

Elements of

Differential

Calculus

Differential

Calculus

History of the Knights

Templars of Canada, From the

Foundation of the Order in A.

D. 1800 to the Present TimeWith an Historical Retrospect of

Templarism, Culled From the Writings

of the Historians of the Order

Templars of Canada, From the

Foundation of the Order in A.

D. 1800 to the Present TimeWith an Historical Retrospect of

Templarism, Culled From the Writings

of the Historians of the Order

Vector

Analysis and

Quaternions

Analysis and

Quaternions