micropedia

one small step

Author: micropedia

Kes an easy roadto the laws o.

E chapter on quadratics, but thePREFACE. vsimple questions of arithmetical progression and of geometricalprogression are so interesting in themselves, and show so clearlythe power of Algebra, that it will be a great loss not to take theshort chapters on these series.The last chapter is on square and cube roots. It is expectedthat pupils who use this book will learn how to extract thesquare and cube roots by the simple formulas of Algebra, andbe spared the necessity of committing to memory the long andtedious rules given in Arithmetic, rules that are generally forgotten in less time t.

Solutions of examples, and themaking of easy examples for the pupils to solve.Nearly all the examples throughout the book are new, andmade expressly for beginners.The first chapter clears the way for quite a full treatmentof simple integral equations with one unknown number. In thefirst two chapters only positive numbers are involved, and thelearner is led to see the practical advantages of Algebra in itsmost interesting applications before he faces the difficulties ofnegative numbers.The third chapter contains a simple explanation of negativenumbers. The recognition of the facts that the real nature ofiiiPREFACE. ivsubtraction is counting backwards, and that the real nature ofmultiplication is forming the product from the multiplicand precisely as the multiplier is formed from unity, makes an easy roadto the laws of addition and subtraction of algebraic numbers, andto the law of signs in multiplication and division. All the principles and rules of this chapter are illustrated and enforced bynumerous examples involv.

Number. In thefirst two chapters only positive numbers are involved, and thelearner is led to see the practical advantages of Algebra in itsmost interesting applications before he faces the difficulties ofnegative numbers.The third chapter contains a simple explanation of negativenumbers. The recognition of the facts that the real nature ofi.

Cluding simple cases of resolu.

Rules given in Arithmetic, rules that are generally forgotten in less time than they are learned.Any corrections or suggestions will be thankfully received bythe author.A teachers’ edition is in press, containing solutions of examples, and such suggesve numbers.The third chapter contains a simple explanation of negativenumbers. The recognition of the facts that the real nature ofiiiPREFACE. ivsubtraction is counting backwards, and that the real nature ofmultiplication is forming the product.

He model solutions of examples, and themaking of easy examples for the pupils to solve.Nearly all the examples throughout the book are new, andmade expressly for beginners.The first chapter clears the way for quite a full treatmentof simple integral equations with one unknown number. In thefirst two chapters only positive numbers are involved, and thelearner is led to see the practical advantages of Algebra in itsmost interesting applications before he faces the difficulties ofnegative numbers.The third chapter contains a simple explanation of negativenumbers. The recognition of the facts that the real nature ofiiiPREFACE. ivsubtraction is counting backwards, and that the real nature ofmultiplication is forming the product from the multiplicand precisely as the multiplier is.

Unknown number, a chapter on simultaneous equations with two unknownnumbers, and a chapter on quadratics follow in order. Only onemethod of elimination is given in simultaneous equations andone method of completing the square in quadratics. Moreover,the solution of the examples in quadratics requires the squareroots of only small numbers such as every pupil knows who haslearned the multiplication table. In each of these three chaptersa considerable number of problems is given to state and solve.By this means the learner is led to exercise his reasoning faculty,and to realize that the methods of Algebra require a strictly logical proc.

Nd subtraction of algebraic numbers, andto the law of signs in multiplication and division. All the principles and rules of this chapter are illustrated and enforced bynumerous examples involving simple algebraic expressions only.The ordinary processes with compound expressions, including simple cases of resolution into factors, and the treatmentof fractions, naturally follow the third chapter. The immediatesuccession of topics that require.

Xamples for the pupils to solve.Nearly all the examples throughout the book are new, andmade expressly for beginners.The first chapter clears the way for quite a full treatmentof simple integral equations with one unknown number. In thefirst two chapters only positive numbers are involved, and thelearner is led to see the practical advantages of Algebra in itsmost interesting applications before he faces the difficulties ofnegative numbers.The third chapter contains a simple explanation of negativenumbers. The recognition of the facts that the real nature ofiiiPREFACE. ivsubtraction is counting backwards, and that the real nature ofmultiplication is forming the product from the multiplicand precisely as the multiplier is formed from unity, makes an easy roadto the laws of addition and subtraction of algebraic numbers, andto the law of signs in multiplication and division. All the principles and rules of this chapter are illustrated and enforced bynumerous examples involving simple algebraic expressions only.The ordin.

Ivided into classes,and a model solution of an example of each class is given as aguide to the solution of other examples of that class.The course may end with the chapter on quadratics, but thePREFACE. vsimple questions of arithmetical progression and of geometricalprogression are so interesting in themselves, and show so clearlythe power of Algebra, that it will be a great loss not to take theshort chapters on these series.The last chapter is on square and cube roots. It is expectedthat pupils who use this book will learn how to extract thesquare and cube roots by the simple formulas of Algebra, andbe spared the necessity of committing to memory the long andtedious rules given in Arithmetic, rules that are generally forgotten in less time than they are learned.Any corrections or suggestions will be thankfully received bythe author.A teachers’ edition is in press, containing solutions of examples, and such sugges.

Tiplication is forming the product from the multiplicand precisely as the multiplier is formed from unity, makes an easy roadto the laws of addition and subtraction of algebraic numbers, andto the law of signs in multiplication and division. All the principles and rules of this chapter are illustrated and enforced bynumerous examples involving simple algebraic expressions only.The ordinary processes with compound expressions, including simple cases of resolution into factors, and the treatmentof fractions, naturally follow the third chapter. The immediatesuccession of topics that require similar work is of the highestimportance to the beginner, and it is hoped that the half-dozenchapters on algebraic expressions will prove interesting, and givesufficient readiness in the use of symbols.A chapter on fractional equations with one unknown number, a chapter on simultaneous equations with two unknownnumbers, and a chapter on quadratics follow in order. Only onemethod of elimination is given in simultaneous equations andone met.

Use this book will learn how.

Le questions of arithmetical progression and of geometricalprogression are so interesting in themselves, and show so clearlythe power of Algebra, that it will be a great loss not to take theshort chapters on these series.The last chapter is on square and cube roots. It is expectedthat pupils who use this book will learn how to extract thesquare and cube roots by the simple formulas of Algebra, andbe spared the necessity of committing to memory the long andtedious rules given in Arithmetic, rules that are generally forgotten in less time than they are learned.Any corrections or suggestions will be thankfully received bythe author.A.

In each of these three chaptersa considerable number of problems is given to state and solve.By this means the learner is led to exercise his reasoning faculty,and to realize that the methods of Algebra require a strictly logical process. These problems, however, are divided into classes,and a model solution of an example of each class is given as aguide to the solution of other examples of that class.The course may end with the chapter on quadratics, but thePREFACE. vsimple questions of.

Mplicity, great care has been givento the explanations of the fundamental operations and rules, thearrangement of topics, the model solutions of examples, and themaking of easy examples for the pupils to solve.Nearly all the examples throughout the book are new, andmade expressly for beginners.The first chapter clears the way for quite a full treatmentof simple integral equations with one unknown number. In thefirst two chapters only positive numbers are involved, and thelearner is led to see the practical advantages of Algebra in its.

Ations with two unknownnumbers, and a chapter on quadratics follow in order. Only onemethod of elimination is given in simultaneous equations andone method of completing the square in quadratics. Moreover,the solution of the examples in quadratics requires the squareroots of only small numbers such as every pupil knows who haslearned the multiplication table. In each of these three chaptersa considerable number of problems is given to state and solve.By this means the learner is led to exercise his reasoning faculty,and to realize that the methods of Algebra require a strictly logical process. These problems, however, are divided into classes,and a model solution of an example of each class is given as aguide to the solution of other examples of that class.The course may end wi.

Model solution of an example of each class is given as aguide to the solution of other examples of that class.The course may end with the chapter on quadratics, but thePREFACE. vsimple questions of arithmetical progression and of geometricalprogression are so interesting in themselves, and show so clearlythe power of Algebra, that it will be a great loss not to take theshort chapters on these series.The last chapter is on square and cube roots. It is expectedthat pupils who use this book will learn how to extract thesquare and cube r.

On square and cube roots. It is expectedthat pupils who use this book will learn how to extract thesquare and cube roots by the simple formulas of Algebra, andbe spared the necessity of committing to memory the long andtedious rules given in Arithmetic, rules that are generally forgotten in less time than they are learned.Any corrections or suggestions will be thankfully received bythe author.A teachers’ edition is in press, containing solutions of examples, and such sugges.