Easy Mathematics: Arithmetic and Algebra for General Readers by Oliver Lodge

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About this book :-
Arithmetic and algebra for general readers, being an elementary treatise addressed to teachers, parents, self-taught students and adults. This instructional book offers a thorough introduction to the basics of mathematics, including arithmetic and algebra. Lodge's clear and concise explanations make it easy for readers of all levels to grasp the fundamental concepts of these essential subjects. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.

Book Detail :-
This book has following details information.
Title: Easy Mathematics: Arithmetic and Algebra for General Readers by Oliver Lodge by NA
Publisher: The Macmillan Company
Series: eBooksDirectory
Year: 1910
Pages: 466
Type: PDF
Language: English
ISBN-10 #: 1019841869
ISBN-13 #: 978-1019841860
Country: Pakistan
License: N\A
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About Author :-
The author NA NA

Book Contents :-
conver the following topics.
1. The very beginnings. Counting. Extension or application of the idea of number to measuring continuous quantity. Introduction of the idea of fractions. Practical hints for teaching the simple rules. Addition. Subtraction. Multiplication. Multiplication of money. Division. Division of money. Origin of the symbols 2. Further considerations concerning the Arabic system of notation, and extension of it to express fractions decimally and duodecimally. 3. Further consideration of division and introduction of vulgar fractions. Extension of the term multiplication to fractions. Practical remarks on the treatment of fractions. 4. Further consideration and extension of the idea of subtraction. Addition and subtraction of negative quantities 5. Ceneral tuition and extension of the ideas of multiplication and division to concrete quantity. First idea of involution 6. Factors of simple numbers 7. Dealings with money and with weights and measures. Modern treatment of the rule called "practice." The practical advantages of decimalisation. Decimalisation of money. Typical exercises. Binary scale. Decimal system of weights and measures. Decimal measures. Angles and time. Further exercises 8. Simple proportion. Breakdown of simple proportion or *' rule of three " 9. Simplification of fractions 10. Greatest common measure and least common multiple. Rule for finding G.C.M. Algebrical statement of the process for finding G.C.M. 11. Easy mode of treating problems which require a little thought 12. Involution and evolution and beginning of indices 13. Equations treated by the method of very elementary experiment. Further consideration of what can be done to equations 14. Another treatment of equations. Introduction to quadratics 15. Extraction of simple roots. Surds 16. Further consideration of indices. Fractional indices. Negative indices 17. Introduction to logarithms 18. Logarithms. Common practical base. Examples. Examples for practice. Fundamental relations 19. Further details about logarithms 20. On incommersurables and on discontinuity 21. Concrete arithmetic. The meaning of significant figures and practical accuracy 22. Practical manipulation of fractions when decimally expressed. "Order" of numbers 23. Dealings with very large or very small numbers 24. Dealings with vulgar fractions. Numerical varifications 25. Simplification of fractional expressions 26. Cancelling among units 27. Cancelling in equations. Caution 28. Further cautions. Cautious of a slightly more advanced character 29. Illustrations of the Practical Use of Logarithms. (i). How to look out a logarithm, (ii). How to look out the number which has a given logarithm. Examples. Logarithms of fractions, (iii). How to do multiplication and division with logs. 30. How to find powers and roots by logarithms. Exercises. Roots of negative numbers 31. Geometrical illustration of powers and roots. Further geometrical methods of finding square roots 32. Arithmetical method of finding square roots 33. Simple algebraic aids to arithmetic, etc. Illustrations. Problems. Proof of square root rule. Cubes and cube root. Approximations 34. To find any power of a binomial. Exercise. Examples 35. Progressions. Examples. Algebraic digression. General expression for any odd number. Arithmetical progression. Other series. Geometrical illustrations 36. Means. Examples. Mean or average of a number of terms. Weighted mean. General average. Geometric mean. Example 37. Examples of the practical occurrence of progressions in nature or art. PART II. MISCELLANEOUS APPLICATIONS AND INTRODUCTIONS. 38. Illustrations of important principles by means of expansion by heat. Examples. Cubical expansion 39. Further illustrations of proportionality or variation. Inverse variation. Summary 40. Pumps and leaks. Leaks. Cooling. Electric leakage. Continuously decreasing G. P. Summary 41. Differentiation. Examples. 42. A peculiar series. Natural base of logarithms APPENDIX. A. Note on the Pythagorean numbers B. Note on Implicit dimensions C. Note on factorization D. Note on the growth of population

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