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Mathematics : a second start /
Provides less mathematically minded students with a gentle introduction to basic mathematics and some more advanced topics. Covering algebra, trigonometry, calculus and statistics, it manages to combine clarity of presentation with liveliness of style and sympathy for students' needs. It is str...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Chichester, England. :
Horwood Pub.,
2002.
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| Edición: | Second edition. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; Mathematics: A Second Start, 2nd edition; Mathematics: A Second Start; Copyright Page; Table of Contents; Preface to Second Edition; Introduction to the First Edition; Chapter 0. Using a Scientific Calculator; INTRODUCTION; GETTING TO KNOW YOUR CALCULATOR; CALCULATING WITH YOUR CALCULATOR; Chapter 1. The Set of Real Numbers; NUMBERS AND SYMBOLS; SETS AND SUBSETS; THE NATURAL NUMBERS; THE BASIC LAWS OF NATURAL NUMBERS; IRRATIONAL NUMBERS; SUMMARY; Chapter 2. Number Skills; WORKING WITH DIRECTED NUMBERS; WORKING WITH FRACTIONS; Chapter 3. Algebra: a Basic Toolkit.
- WHY LEARN ALGEBRA?THE FOUR RULES; SIMPLE SUBSTITUTION; ADDITION AND SUBTRACTION OF ALGEBRAIC TERMS; MULTIPLICATION AND DIVISION OF ALGEBRAIC QUANTITIES; Chapter 4. Algebra: More Tools; THE THREE RULES OF INDICES; SURDS; Chapter 5. Products; THE BINOMIAL SERIES; Chapter 6. Factors; SPECIAL CASES; Chapter 7. Equations and Inequalities; MAINTAINING THE BALANCE; SUMMARY; INTERVALS AND INEQUALITIES; PROPERTIES OF INEQUALITIES; SOLUTION OF INEQUALITIES; MODULUS OR ABSOLUTE VALUE; Chapter 8. Manipulation of Formulae; INTRODUCTION; SUBSTITUTION; TRANSPOSITION; A SYSTEMATIC METHOD FOR TRANSPOSING.
- ELIMINATIONChapter 9. Quadratic Equations; ZERO PRODUCTS; SOLUTION OF QUADRATIC EQUATIONS; Chapter 10. Simultaneous Equations; INTRODUCTION; SOLUTION BY ELIMINATION; SOLUTION BY SUBSTITUTION; SOLUTION IF ONE OF THE EQUATIONS IS NOT LINEAR; PROBLEMS LEADING TO SIMULTANEOUS EQUATIONS; Chapter 11. Indices and Logarithms; FURTHER INDICES; LOGARITHMS; Chapter 12. Functions and Graphs; FUNCTIONS; COMPOSITE FUNCTIONS; GRAPHS OF FUNCTIONS; Chapter 13. Linear Graphs and Their Use in Experimental Work; THE STRAIGHT LINE LAW; TO FIND LINEAR LAWS IN PRACTICAL CASES.
- Chapter 14. Calculus
- the Mathematics of ChangeLIMITS
- THE BACKGROUND TO CALCULUS; THREE IMPORTANT 'FRACTIONS'; THE BEGINNINGS OF RELATIVE GROWTH; Chapter 15. Applications of Differentiation; RATES OF CHANGE WITH RESPECT TO TIME; STATIONARY VALUES; HOW TO DIFFERENTIATE MORE DIFFICULT EXPRESSIONS; Chapter 16. Integration; INTEGRATION AS THE LIMIT OF A SUM; AREAS: DEFINITE INTEGRALS; SOLIDS OF REVOLUTION; Chapter 17. Introduction to Trigonometry; THE SINE, COSINE AND TANGENT OF AN ANGLE; USING A CALCULATOR; ANGLES OF ANY MAGNITUDE; EQUIVALENT ANGLES.
- TRIGONOMETRIC RATIOS FOR ANGLES OF ANY MAGNITUDETRIGONOMETRIC RATIOS WHEN OP LIES ON THE AXES; THE ASSOCIATED ACUTE ANGLE; USE OF CALCULATORS; GRAPHS OF THE TRIGONOMETRIC RATIOS; TO FIND ALL THE ANGLES WITH A GIVEN SIN, COS OR TAN; THE MINOR RATIOS; GRAPHS; USE OF CALCULATOR WITH THE MINOR RATIOS; THE THEOREM OF PYTHAGORAS; Chapter 18. Calculus of Trigonometry; RADIANS: A NEW WAY OF MEASURING ANGLES; THE ADDITION FORMULAE; SMALL ANGLES; DIFFERENTIATION OF TRIGONOMETRIC FUNCTIONS; Chapter 19. The Law of Natural Growth; COMPOUND INTEREST; DIFFERENTIATION AND INTEGRATION OF THE FUNCTION y = ex.