Books with author Clarence E. Comstock

THE PREFACE This book is the first of a two-book series. It has been the intention of the authors to include in Beginners* Algebra no more work than can be completed easily in one year. It is believed that after this course has been finished the pupil will have a clear understanding of the principles pre- sented and the ability to apply them to algebraic expression of less complicated forms. The order in which some of the topics occur may be a little unusual ; yet it is felt that the pupil will find his progress is easy and invigorating. The subject is presented in a manner to stimulate the power of the pupil to think in mathe- matical terms. It is hoped that the language is so simple and direct that the pupil will find little or no difficulty in reading the book with understanding and pleasure. Tech- nical language has been reduced to a minimum. In view of the fact that many high-school pupils have diflBictilty in using fractions and decimals with speed and accuracy, an introductory chapter is devoted to such matters. In this chapter attention is also called to the proper nvunber of figures to be retained when calculating with approximate numbers. The close connection between algebra and arithmetic is stressed throughout the book. The idea that letters stand for numbers is brought to the surface of the pupil's mind by frequent exercises in the evaluation of algebraic expressions. The equation as the means of solving problems has been taken for central consideration. The methods of solving equations are developed very gradually in connection with problems giving rise to them. These, as well as other prin- ciples and methods, receive a gradual development at first from a more or less common-sense point of view, followed by a more formal presentation. Several features of the book should receive special men- tion. A large number of simple exercises are given. More com- plicated and difficult expressions are left to the later coiu*se. This is notably true in the case of fractions, factoring, and radicals. Certain types often given in a first-year course are omitted, including the sum and difference of cubes and forms factored after grouping terms. These have been placed in the Appendix for the convenience of teachers who wish to include them in the one-year course. It is in the stating of problems that most pupils find their greatest difficulty. The problems in this book have been chosen from topics with which the average pupil has con- siderable familiarity. The approach to problems of the various types is made easy. General rules of procedure are given which it is hoped will be found to be very helpful. The graph is considered of so much importance that it is made an essential part of the course. Many ways in which graphs, both statistical and algebraic, may be used are indicated. Place is given to the solution of problems by graphic methods. Although the word "function" does not appear in the book, the idea is frequently present, notably in connection with the graph which is called for when various algebraic forms are considered. The important distinction between equations of the first and second degrees and fractional equations is taken into account, and a separate treatment is given to the solution of fractional equations. It is believed that the book is in close accord with the country-wide movement for the improvement of the teach- ing of algebra to those beginning the study of the subject.

This book is the first of a two-book series. It has been the intention of the authors to include in Beginners Algebra no more work than can be completed easily in one year. It is believed that after this course has been finished the pupil will have a clear understanding of the principles presented and the ability to apply them to algebraic expression of less complicated forms. The order in which some of the topics occur may be a little tmusual; yet it is felt that the pupil will find his progress is easy and invigorating. The subject is presented in a manner to stimulate the power of the pupil to think in mathematical terms. It is hoped that the language is so simple and direct that the pupil will find little or no difficulty in reading the book with tmderstanding and pleasure. Technical language has been reduced to a minimum. In view of the fact that many high-school pupils have diflS culty in using fractions and decimals with speed and accuracy, an introductory chapter is devoted to such matters. In this chapter attention is also called to the proper number of figures to be retained when calculating with approximate numbers. The close connection between algebra and arithmetic is stressed throughout the book. The idea that letters stand for numbers is brought to the surface of the pupils mind by frequent exercises in the evaluation of algebraic expressions. The equation as the means of solving problems has been taken for central consideration. The methods of solving equations are developed very gradually in connection with problems giving rise to them. These, as.well as other principles and methods, receive a gradual development at first from a more or less common-sense point of view, followed by a more formal presentation.(Typographical errors above are due to OCR software and don't occur in the book.)About the Publisher Forgotten Books is a publisher of historical writings, such as: Philosophy,

About the Book Mathematics is the study of such problems as quantity, structure, space, and change. Mathematicians seek out and implement patterns to formulate new theories; they resolve the veracity of theories by applying mathematical proofs. When mathematical frameworks provide good replications of actual events, then mathematics can improve our predictions about natural phenomena. Using theoretical abstraction and logic, over thousands of years mathematics has developed from simple calculation and measurement, to the systematic study of the shapes and dynamics of physical objects. About us Leopold Classic Library has the goal of making available to readers the classic books that have been out of print for decades. While these books may have occasional imperfections, we consider that only hand checking of every page ensures readable content without poor picture quality, blurred or missing text etc. That's why we: republish only hand checked books; that are high quality; enabling readers to see classic books in original formats; that are unlikely to have missing or blurred pages. You can search "Leopold Classic Library" in categories of your interest to find other books in our extensive collection. Happy reading!

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