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cr cnu---unuuu |
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141003s1986 flua o 000 0 eng d |
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|a OPELS
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|a 898771983
|a 1162450240
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|a 9781483218038
|q (electronic bk.)
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|a 1483218031
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|z 0123043808
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|z 9780123043801
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|a (OCoLC)892067249
|z (OCoLC)898771983
|z (OCoLC)1162450240
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|a QA303
|b .G895 1986eb
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|a 515
|2 22
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|a Grossman, Stanley I.
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|a Multivariable calculus, linear algebra, and differential equations /
|c Stanley I. Grossman.
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250 |
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|a Second edition.
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264 |
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|a Orlando :
|b Academic Press,
|c �1986.
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300 |
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|a 1 online resource (ix, 876, 92, 10 pages) :
|b illustrations
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336 |
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a Print version record.
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|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.
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|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.
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|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.
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|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.
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|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.
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|a Multivariable Calculus, Linear Algebra, and Differential Equations.
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546 |
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|a English.
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650 |
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0 |
|a Calculus.
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650 |
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0 |
|a Algebras, Linear.
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650 |
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0 |
|a Differential equations.
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650 |
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6 |
|a Calcul infinit�esimal.
|0 (CaQQLa)201-0003658
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650 |
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6 |
|a Alg�ebre lin�eaire.
|0 (CaQQLa)201-0001189
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650 |
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6 |
|a �Equations diff�erentielles.
|0 (CaQQLa)201-0003667
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650 |
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|a calculus.
|2 aat
|0 (CStmoGRI)aat300054528
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650 |
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|a MATHEMATICS
|x Calculus.
|2 bisacsh
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650 |
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7 |
|a MATHEMATICS
|x Mathematical Analysis.
|2 bisacsh
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650 |
|
7 |
|a Algebras, Linear
|2 fast
|0 (OCoLC)fst00804946
|
650 |
|
7 |
|a Calculus
|2 fast
|0 (OCoLC)fst00844119
|
650 |
|
7 |
|a Differential equations
|2 fast
|0 (OCoLC)fst00893446
|
650 |
|
7 |
|a Analysis
|2 gnd
|0 (DE-588)4001865-9
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|a Mehrere Variable
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|0 (DE-588)4277015-4
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|a Aufgabensammlung.
|2 swd
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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
|