An Introduction To Mathematics with Applications to Science and Agriculture

321 Pages·2007·9.05 MB·English

by  Isaiah Leslie Miller

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AN INTRODUCTION TO
MATHEMATICS

AN INTRODUCTION TO
MATHEMATICS
With Applications to Science
and
Agriculture
BY
ISATAII LESLIE MILLER
Professor ofMathematics, South Dakota State College
ofAgriculture and Mechanic Arts
F. S. CROFTS & CO.
NEW YORK MCMXXX
-:- -:-
COPYRIGHT, 1930,BYF.S. CROITS&Co.,INC.
MANUFACTURED IN THE UNITED STATES OF AMERICA
BY BRAUNWORTH & CO.,INC., BROOKLYN, NEW YORK
PREFACE
AFTER some fourteen years of teaching in American colleges
and universities the author finds that the average high school
graduate has not developed in himself a mathematical type of
reasoning. lie therefore hopes that this treatment may in
some measure accomplish this purpose.
The first few chapters are devoted to a thorough review of
high school algebra, for the author is convinced that most
college freshmen need considerable drill on the fundamental
processes of algebra before attempting a very extensive study
of mathematics.
In preparing this book theauthor haskept in mind two types
of students: first, those who will never take additional work in
mathematics, and second, those* who will continue the work in
science or agriculture for advanced degrees and will doubtless
desire to pursue additional courses in mathematics. He has
therefore attempted to write a book basic in the fundamental
principles of mathematics and at the same time has endeavored
to make practical applications to the fields of science and agri-
culture, whereverpossible. Hefeels that athorough knowledge
of the material covered in this work will enable the second type
of student to successfully pursue a course in analytical geometry
followed by a course in the calculus.
The author gratefully acknowledges his indebtedness to his
colleagues, Professor Win. Asker for preparing the chapter on
statistics, and Mr. H. B. MacDougal for checking much of the
material, to Professor I. W. Smith of the North Dakota Agri-
cultural College for using the material in mimeographed form
and offering many valuable suggestions, to Dean D. A. Roth-
VI PREFACE
rock of Indiana University for reading most of the manuscript
and to Professor Wm. Marshall of Purdue University for
encouraging him in the work.
The author also desires to thank Professor E. S. Crawley of
the University of Pennsylvania for his generous permission to
use the greater part of his Tables of Logarithms as a portion
of this book.
I. L. MILLER
SOUTH DAKOTA STATE COLLEGE