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# 📙 An Introduction To Mathematics with Applications to Science and Agriculture by Isaiah Leslie Miller — free epub

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AN INTRODUCTION TO MATHEMATICS With Applications to Science and Agriculture BY ISATAII LESLIE MILLER Professor of Mathematics, South Dakota State College of Agriculture and Mechanic Arts F. S. CROFTS CO. NEW YORK ----MCMXXX COPYRIGHT, 1930, BY F. 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 the author has kept 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, wherever possible. He feels that a thorough 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 CONTENTS CHAPTER I ALGEBRAIC OPERATIONS ARTICLE PAGE 1. FOUR FUNDAMENTAL OPERATIONS 1 2. ADDITION AND SUBTRACTION 1 3. USE OF PARENTHESES, SIGNS OF AGGREGATION 1 4. MULTIPLICATION 3 5. DIVISION 4 6. DIVISION OF A POLYNOMIAL BY A POLYNOMIAL 4 7. ZERO IN DIVISION 4 CHAPTER II FACTORING 8. IMPORTANT TYPE PRODUCTS i 9. OTHER IMPORTANT PRODUCTS 8 10. HIGHEST COMMON FACTOR 9 11. LOWEST COMMON MULTIPLE 10 CHAPTER III LINEAR EQUATIONS IN ONE UNKNOWN 12. EQUALITIES 12 13. SOLUTION OR ROOT OF AN EQUATION 12 14. EQUIVALENT EQUATIONS 13 15. OPERATIONS ON EQUATIONS 13 16. TYPE FORM OF THE LINEAR EQUATION IN ONE UNKNOWN. . . 13 17. VERIFICATION BY SUBSTITUTION 13 CHAPTER IV FRACTIONS 18. ALGEBRAIC FRACTION 16 19. OPERATIONS 16 vii Vlll CONTENTS ARTICLE PAGE 20. REDUCTION OP A FRACTION TO ITS LOWEST TERMS 17 21. ADDITION AND SUBTRACTION 18 22. MULTIPLICATION AND DIVISION 19 23. COMPLEX FRACTIONS 20 24. FRACTIONAL EQUATIONS 21 CHAPTER V FUNCTIONS 25. CONSTANTS AND VARIABLES 24 26. DEFINITION OF A FUNCTION 24 27. FUNCTIONAL NOTATION 24 28. FUNCTIONAL RELATIONS 25 29. FORMULAS TAKEN FROM GEOMETRY . . . 26 30. GRAPHICAL REPRESENTATION OF FUNCTIONAL RELATIONS. ... 29 31. STATISTICAL DATA 34 CHAPTER VI SYSTEMS OF LINEAR EQUATIONS 32. GRAPHS OP LINEAR EQUATIONS . 39 33. GRAPHICAL SOLUTION 41 34. ALGEBRAIC SOLUTION 43 35. SOLUTION OF THREE LINEAR EQUATIONS IN THREE UNKNOWNS. 44 36. SLOPE OF A STRAIGHT LINE 48 37. DISTANCE BETWEEN Two POINTS 50 38. EQUATION OF A STRAIGHT LINE 50 39. PROBLEM Two POINT FORM OF THE EQUATION OF A LINE . 51 40. PROBLEM SLOPE AND ONE POINT FORM OF THE EQUATION OF A LINE 53 41...

## About book:

## About file:

Security code:

- Author:
**Isaiah Leslie Miller** - Year:
**2007** - Publisher:
**Mellon Press** - Language:
**English** - ISBN:
**9781406718195,140671819X**

- File size:
**9 485 849** - Format:
**pdf**

Security code:

Susanna Epp's DISCRETE MATHEMATICS WITH APPLICATIONS, FOURTH EDITION provides a clear introduction to discrete mathematics. Renowned for her lucid, accessible prose, Epp explains complex, abstract concepts with clarity and precision. This book presents no...

This book is intended to be an introduction to Delay Differential Equations for upper level undergraduates or beginning graduate mathematics students who have a good background in ordinary differential equations and would like to learn about the applicati...

This book has been designed to serve as a text book for post graduate-students and research workers in earth sciences who require a background of and a feel for statistics and the theory of regionalised variables. The book is titled 'Geostatistics with Ap...

This book provides a treatment of analytical methods of applied mathematics. It starts with a review of the basics of vector spaces and brings the reader to an advanced discussion of applied mathematics, including the latest applications to systems and co...

A computational perspective on partial order and lattice theory, focusing on algorithms and their applications This book provides a uniform treatment of the theory and applications of lattice theory. The applications covered include tracking dependency in...

Queueing Theory with Applications to Packet Telecommunication is an efficient introduction to fundamental concepts and principles underlying the behavior of queueing systems and its application to the design of packet-oriented electrical communication sys...

Книга A Course in Linear Algebra With Applications A Course in Linear Algebra With Applications Книги Математика Автор: Derek J. S. Robinson Год издания: 2006 Формат: pdf Издат.:World Scientific Publishing Company Страниц: 452 Размер: 13 ISBN: 9812700234 ...

Susanna Epp's DISCRETE MATHEMATICS, THIRD EDITION provides a clear introduction to discrete mathematics. Renowned for her lucid, accessible prose, Epp explains complex, abstract concepts with clarity and precision. This book presents not only the major th...

Methods of global analysis and stochastic analysis are most often applied in mathematical physics as separate entities, thus forming important directions in the field. However, while combination of the two subject areas is rare, it is fundamental for the ...

Offers a concise overview of the mechanical properties of engineering materials and structures. Highlights the latest in basic materials concepts, including the mechanics and physical basis of elasticity, plasticity, fracture, fatigue, creep, and time de...

It is very well presented, organised and all subjects are treated in depth....

Describing the theoretical aspects of chemistry and microstructure that affect mechanical properties, this work offers coverage of ceramic mechanical property measurement techniques for use in component design as well as lifetime and reliability predictio...

The Mechanical Engineering Handbook provides extensive coverage on the fundamental topics and emerging issues involved in mechanical engineering, from the structure of solids to virtual reality. Each chapter has a detailed table of contents, most contain ...

What started off as a clear, concise text that fully explained basic concepts quickly degraded into a confusing and unhelpful text that seemed to assume you already knew the topics and treated it as a review. Example problems are completely worthless as R...

The first edition of this book was co-published by Ane Books India, and CRC Press in 2008. This second edition is an enlarged version of the web course developed by the author at IIT Madras, and also a modified and augmented version of the earlier book. M...