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Multivariable calculus, linear algebra, and differential equations /

Multivariable Calculus, Linear Algebra, and Differential Equations.

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 Multivariable calculus, linear algebra, and differential equations /  |c Stanley I. Grossman. 
250 |a Second edition. 
264 1 |a Orlando :  |b Academic Press,  |c �1986. 
300 |a 1 online resource (ix, 876, 92, 10 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
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505 0 |a Front Cover; Multivariable Calculus, Linear Algebra, and Differential Equations; Copyright Page; Table of Contents; Preface; Chapter 1. Vectors in the Plane; 1.1 VECTORS AND VECTOR OPERATIONS; 1.2 THE DOT PRODUCT; 1.3 SOME APPLICATIONS OF VECTORS (OPTIONAL); REVIEW EXERCISES FOR CHAPTER ONE; Chapter 2. Vector Functions, Vector Differentiation, and Parametric Equations inR; 2.1 VECTOR FUNCTIONS AND PARAMETRIC EQUATIONS; 2.2 THE EQUATION OF THE TANGENT LINETO A PARAMETRIC CURVE; 2.3 THE DIFFERENTIATION AND INTEGRATIONOF A VECTOR FUNCTION; 2.4 SOME DIFFERENTIATION FORMULAS. 
505 8 |a 2.5 ARC LENGTH REVISITED2.6 ARC LENGTH AS A PARAMETER; 2.7 VELOCITY, ACCELERATION, FORCE, AND MOMENTUM; 2.8 CURVATURE AND THE ACCELERATION VECTOR(OPTIONAL); REVIEW EXERCISES FOR CHAPTER TWO; Chapter 3. Vectors in Space; 3.1 THE RECTANGULAR COORDINATE SYSTEM IN SPACE; 3.2 VECTORS IN R3; 3.3 LINES IN U3; 3.4 THE CROSS PRODUCT OF TWO VECTORS; 3.5 PLANES; 3.6 QUADRIC SURFACES; 3.7 THE SPACE U"" AND THE SCALAR PRODUCT; 3.8 VECTOR FUNCTIONSAND PARAMETRIC EQUATIONS IN U3; 3.9 CYLINDRICAL AND SPHERICAL COORDINATES; REVIEW EXERCISES FOR CHAPTER THREE. 
505 8 |a Chapter 4. Differentiation of Functionsof Two or More Variables4.1 FUNCTIONS OF TWO OR MORE VARIABLES; 4.2 LIMITS AND CONTINUITY; 4.3 PARTIAL DERIVATIVES; 4.4 HIGHER-ORDER PARTIAL DERIVATIVES; 4.5 DIFFERENTIABILITY AND THE GRADIENT; 4.6 THE CHAIN RULES; 4.7 TANGENT PLANES, NORMAL LINES, AND GRADIENTS; 4.8 DIRECTIONAL DERIVATIVES AND THE GRADIENT; 4.9 CONSERVATIVE VECTOR FIELDS AND THE GRADIENT(OPTIONAL); 4.10 THE TOTAL DIFFERENTIAL AND APPROXIMATION; 4.11 EXACT VECTOR FIELDSOR HOW TO OBTAIN A FUNCTION FROM ITS GRADIENT; 4.12 MAXIMA AND MINIMA FOR A FUNCTIONOF TWO VARIABLES. 
505 8 |a 4.13 CONSTRAINED MAXIMA AND MINIMA-LAGRANGE MULTIPLIERSREVIEW EXERCISES FOR CHAPTER FOUR; Chapter 5. Multiple Integration; 5.1 VOLUME UNDER A SURFACE ANDTHE DOUBLE INTEGRAL; 5.2 THE CALCULATION OF DOUBLE INTEGRALS; 5.3 DENSITY, MASS, AND CENTER OF MASS (OPTIONAL); 5.4 DOUBLE INTEGRALS IN POLAR COORDINATES; 5.5 SURFACE AREA; 5.6 THE TRIPLE INTEGRAL; 5.7 THE TRIPLE INTEGRAL IN CYLINDRICALAND SPHERICAL COORDINATES; REVIEW EXERCISES FOR CHAPTER FIVE; Chapter 6. Introduction to Vector Analysis; 6.1 VECTOR FIELDS; 6.2 WORK, LINE INTEGRALS IN THE PLANE, AND INDEPENDENCE OF PATH. 
505 8 |a 6.3 GREEN'S THEOREM IN THE PLANE6.4 LINE INTEGRALS IN SPACE; 6.5 SURFACE INTEGRALS; 6.6 DIVERGENCE AND CURL OF A VECTOR FIELD IN; 6.7 STOKES'S THEOREM; 6.8 THE DIVERGENCE THEOREM; 6.9 CHANGING VARIABLES IN MULTIPLE INTEGRALSAND THE JACOBIAN; REVIEW EXERCISES FOR CHAPTER SIX; Chapter 7. Matrices and Linear Systems of Equations; 7.1 MATRICES; 7.2 MATRIX PRODUCTS; 7.3 LINEAR SYSTEMS OF EQUATIONS; 7.4 MATRICES AND LINEAR SYSTEMS OF EQUATIONS; 7.5 THE INVERSE OF A SQUARE MATRIX; 7.6 THE TRANSPOSE OF A MATRIX; REVIEW EXERCISES FOR CHAPTER SEVEN; Chapter 8. Determinants; 8.1 DEFINITIONS. 
520 |a Multivariable Calculus, Linear Algebra, and Differential Equations. 
546 |a English. 
650 0 |a Calculus. 
650 0 |a Algebras, Linear. 
650 0 |a Differential equations. 
650 6 |a Calcul infinit�esimal.  |0 (CaQQLa)201-0003658 
650 6 |a Alg�ebre lin�eaire.  |0 (CaQQLa)201-0001189 
650 6 |a �Equations diff�erentielles.  |0 (CaQQLa)201-0003667 
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776 0 8 |i Print version:  |a Grossman, Stanley I.  |t Multivariable calculus, linear algebra, and differential equations.  |b Second edition  |z 0123043808  |w (DLC) 85070253  |w (OCoLC)13872258 
856 4 0 |u https://sciencedirect.uam.elogim.com/science/book/9780123043801  |z Texto completo