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MATHEMATICS

FOR COLLEGIATE STUDENTS OF

AGRICULTURE AND GENERAL SCIENCE

A SERIES OF MATHEMATICAL TEXTS

THE CALCULUS

EDITED BY

EARLE RAYMOND HEDRICK

By ELLERY WILLIAMS DAVIS and WILLIAM CHARLES BRENKE.

ANALYTIC GEOMETRY AND ALGEBRA

By ALEXANDER ZIWET and LOUIS ALLEN HOPKINS.

ELEMENTS OF ANALYTIC GEOMETRY

By ALEXANDER ZIWET and LOUIS ALLEN HOPKINS.

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ELEMENTARY MATHEMATICAL ANALYSIS

By JOHN WESLEY YOUNG and FRANK MILLETT MORGAN. COLLEGE ALGEBRA

By ERNEST BROWN SKINNER.

MATHEMATICS FOR COLLEGIATE STUDENTS

AGRICULTURE AND GENERAL SCIENCE

OF

By ALFRED MONROE KENYON and WILLIAM VERNON Lovitt.

PLANE TRIGONOMETRY

By ALFRED MONROE KENYON and LOUIS INGOLD.

THE MACMILLAN TABLES

Prepared under the direction of EARLE RAYMOND HEDRICK. PLANE GEOMETRY

By WALTER BURTON FORD and CHARLES AMMERMAN. PLANE AND SOLID GEOMETRY

By WALTER BURTON FORD and CHARLES AMMERMAN.

SOLID GEOMETRY

By WALTER BURTON FORD and CHARLES AMMERMAN. CONSTRUCTIVE GEOMETRY

Prepared under the direction of EARLE RAYMOND HEDRICK.

JUNIOR HIGH SCHOOL MATHEMATICS

By WILLIAM LEDLEY VOSBURGH and FREDERICK WILLIAM
GENTLEMAN.

FOR COLLEGIATE STUDENTS OF

AGRICULTURE AND GENERAL SCIENCE

BY

ALFRED MONROE KENYON

PROFESSOR OF MATHEMATICS IN PURDUE UNIVERSITY

AND

WILLIAM VERNON LOVITT

ASSISTANT PROFESSOR OF MATHEMATICS IN PURDUE UNIVERSITY

NEW YORK
THE MACMILLAN COMPANY
LONDON: MACMILLAN & Co., LTD.

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PREFACE

This book is designed as a text in freshman mathematics for students specializing in agriculture, biology, chemistry, and physics, in colleges and in technical schools.

The selection of topics has been determined by the definite needs of these students. An attempt has been made to treat these topics and to select material for illustration so as to put in evidence their close and practical relations with everyday life, both in and out of college. It is certain that the interest of the student can be aroused and sustained in this way. We believe also that he can be trained to understand and to solve those mathematical problems which will confront him in the subsequent years of his college work and in after-life, without losing anything in orderly arrangement or in clear and accurate logical thinking.

Reference to the table of contents will indicate the scope and proportions of the material presented and something of the means employed in relating the material to the vital interests of the student and of correlating it to his experience and his intellectual attainments. Many of the chapter subjects and paragraph headings are traditional. Nothing has been introduced merely for novelty. Since this course is to constitute the entire mathematical equipment of some students, some chapters have been inserted which have seldom been available to freshmen; for example, the chapters on annuities, averages, and correlation, and the exposition of Mendel's law in the chapter on the binomial expansion.

Particular attention has been given to the illustrative examples and figures, and to the grading of the problems in the lists. The exercises constitute about one fifth of the text and contain

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