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Calculus of one variable /

Calculus of One Variable.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Grossman, Stanley I.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Orlando : Academic Press, �1986.
Edición:Second edition.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Grossman, Stanley I. 
245 1 0 |a Calculus of one variable /  |c Stanley I. Grossman. 
250 |a Second edition. 
264 1 |a Orlando :  |b Academic Press,  |c �1986. 
300 |a 1 online resource (xx, 756, 121, 7 pages) :  |b illustrations (some color) 
336 |a text  |b txt  |2 rdacontent 
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500 |a Includes index. 
588 0 |a Print version record. 
520 |a Calculus of One Variable. 
505 0 |a Front Cover; Calculus of One Variable; Copyright Page; Table of Contents; Preface; To the Instructor; Chapter 1. Preliminaries; 1.1 SETS OF REAL NUMBERS; 1.2 ABSOLUTE VALUE AND INEQUALITIES; 1.3 THE CARTESIAN PLANE; 1.4 LINES; 1.5 EQUATIONS OF A STRAIGHT LINE; 1.6 FUNCTIONS; 1.7 OPERATIONS WITH FUNCTIONS; 1.8 SHIFTING THE GRAPHS OF FUNCTIONS (OPTIONAL); REVIEW QUESTIONS FOR CHAPTER 1; Chapter 2. Limiits and Derivatives; 2.1 INTRODUCTION TO THE DERIVATIVE; 2.2 THE CALCULATION OF LIMITS; 2.3 THE LIMIT THEOREMS; 2.4 INFINITE LIMITS AND LIMITS AT INFINITY; 2.5 TANGENT LINES AND DERIVATIVES 
505 8 |a 2.6 THE DERIVATIVE AS A RATE OF CHANGE2.7 CONTINUITY; 2.8 THE THEORY OF LIMITS (OPTIONAL); REVIEW EXERCISES FOR CHAPTER 2; Chapter 3. More atout Derivatives; 3.1 SOME DIFFERENTIATION FORMULAS; 3.2 THE PRODUCT AND QUOTIENT RULES; 3.3 THE DERIVATIVE OF COMPOSITE FUNCTIONS: THE CHAIN RULE; 3.4 THE DERIVATIVE OF A POWER FUNCTION; 3.5 THE DERIVATIVES OF THE TRIGONOMETRIC FUNCTIONS; 3.6 IMPLICIT DIFFERENTIATION; 3.7 HIGHER-ORDER DERIVATIVES; 3.8 APPROXIMATION AND DIFFERENTIALS; REVIEW EXERCISES FOR CHAPTER THREE; Chapter 4. Applications of the Derivative; 4.1 RELATED RATES OF CHANGE 
505 8 |a 5.7 INTEGRATION BY SUBSTITUTION5.8 THE AREA BETWEEN TWO CURVES; 5.9 WORK, POWER, AND ENERGY (OPTIONAL); 5.10 ADDITIONAL INTEGRATION THEORY (OPTIONAL); REVIEW EXERCISES FOR CHAPTER FIVE; Chapter 6. Exponentials an�e Logarithms; 6.1 INVERSE FUNCTIONS; 6.2 THE EXPONENTIAL AND LOGARITHMIC FUNCTIONS I; 6.3 THE DERIVATIVES AND INTEGRALS OF loga x and ax; 6.4 THE EXPONENTIAL AND LOGARITHMIC FUNCTIONS II; 6.5 DIFFERENTIATION AND INTEGRATION OF MORE GENERAL EXPONENTIAL AND LOGARITHMIC FUNCTIONS; 6.6 DIFFERENTIAL EQUATIONS OF EXPONENTIAL GROWTH AND DECAY; 6.7 APPLICATIONS IN ECONOMICS (OPTIONAL) 
505 8 |a 6.8 A MODEL FOR EPIDEMICS (OPTIONAL)PROBLEMS 6.8; REVIEW EXERCISES FOR CHAPTER SIX; Chapter 7. More on Trionometric Function and the Hyperbolic functions; 7.1 INTEGRATION OF TRIGONOMETRIC FUNCTIONS; 7.2 THE INVERSE TRIGONOMETRIC FUNCTIONS; 7.3 PERIODIC MOTION (OPTIONAL); 7.4 THE HYPERBOLIC FUNCTIONS; 7.5 THE INVERSE HYPERBOLIC FUNCTIONS (OPTIONAL); REVIEW EXERCISES FOR CHAPTER SEVEN; Chapter 8. Techniques of Integration; 8.1 REVIEW OF THE BASIC FORMULAS OF INTEGRATION; 8.2 INTEGRATION BY PARTS; 8.3 INTEGRALS OF CERTAIN TRIGONOMETRIC FUNCTIONS; 8.4 THE IDEA BEHIND INTEGRATION BY SUBSTITUTION 
546 |a English. 
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776 0 8 |i Print version:  |a Grossman, Stanley I.  |t Calculus of one variable.  |b Second edition  |z 0123043905  |w (DLC) 85071541  |w (OCoLC)13582942 
856 4 0 |u https://sciencedirect.uam.elogim.com/science/book/9780123043900  |z Texto completo