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Author Marsden, Jerrold E.
Title Vector calculus / Jerrold E. Marsden, Anthony Tromba.
Publication Info New York : W.H. Freeman, c2012.
Edition 6th ed., International ed.


LOCATION SHELVED AT LOAN TYPE STATUS
 BJL Reading Room 1st floor HDC  QA 303 M3  4 WEEK LOAN  AVAILABLE
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Descript xxv, 545 p. : ill. (some col.), ports. ; 27 cm.
Edition 6th ed., International ed.
Note Previous ed.: 2003.
Text on lining papers.
Includes index.
Contents PART I: THE GEOMETRY OF EUCLIDEAN SPACE Vectors in Two- and Three-Dimensional Space The Inner Product, Length, and Distance Matrices, Determinants, and the Cross Product Cylindrical and Spherical Coordinates n-Dimensional Euclidean Space PART II: DIFFERENTIATION The Geometry of Real-Valued Functions Limits and Continuity Differentiation Introduction to Paths and Curves Properties of the Derivative Gradients and Directional Derivatives PART III: HIGHER-ORDER DERIVATIVES: MAXIMA AND MINIMA Iterated Partial Derivatives Taylor's Theorem Extrema of Real-Valued Functions Constrained Extrema and Lagrange Multipliers The Implicit Function Theorem PART IV: VECTOR-VALUED FUNCTIONS Acceleration and Newton's Second Law Arc Length Vector Fields Divergence and Curl PART V: DOUBLE AND TRIPLE INTEGRALS Introduction The Double Integral Over a Rectangle The Double Integral Over More General Regions Changing the Order of Integration The Triple Integral PART VI: THE CHANGE OF VARIABLES FORMULA AND APPLICATION OF INTEGRATION The Geometry of Maps from R2 to R2 The Change of Variables Theorem Applications Improper Integrals PART VII: INTEGRALS OVER PATHS AND SURFACES The Path Integral Line Integrals Parametrized Surfaces Area of a Surface Integrals of Scalar Functions Over Surfaces Surface Integrals of Vector Fields Applications to Differential Geometry, Physics and Forms of Life PART VIII: THE INTEGRAL THEOREMS OFVECTOR ANALYSIS Green's Theorem Stokes' Theorem Conservative Fields Gauss' Theorem Differential Forms
ISBN 9781429224048 (hbk.) :
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Author Marsden, Jerrold E.
Subject Calculus.
Vector analysis.
Alt author Tromba, Anthony.
Descript xxv, 545 p. : ill. (some col.), ports. ; 27 cm.
Edition 6th ed., International ed.
Note Previous ed.: 2003.
Text on lining papers.
Includes index.
Contents PART I: THE GEOMETRY OF EUCLIDEAN SPACE Vectors in Two- and Three-Dimensional Space The Inner Product, Length, and Distance Matrices, Determinants, and the Cross Product Cylindrical and Spherical Coordinates n-Dimensional Euclidean Space PART II: DIFFERENTIATION The Geometry of Real-Valued Functions Limits and Continuity Differentiation Introduction to Paths and Curves Properties of the Derivative Gradients and Directional Derivatives PART III: HIGHER-ORDER DERIVATIVES: MAXIMA AND MINIMA Iterated Partial Derivatives Taylor's Theorem Extrema of Real-Valued Functions Constrained Extrema and Lagrange Multipliers The Implicit Function Theorem PART IV: VECTOR-VALUED FUNCTIONS Acceleration and Newton's Second Law Arc Length Vector Fields Divergence and Curl PART V: DOUBLE AND TRIPLE INTEGRALS Introduction The Double Integral Over a Rectangle The Double Integral Over More General Regions Changing the Order of Integration The Triple Integral PART VI: THE CHANGE OF VARIABLES FORMULA AND APPLICATION OF INTEGRATION The Geometry of Maps from R2 to R2 The Change of Variables Theorem Applications Improper Integrals PART VII: INTEGRALS OVER PATHS AND SURFACES The Path Integral Line Integrals Parametrized Surfaces Area of a Surface Integrals of Scalar Functions Over Surfaces Surface Integrals of Vector Fields Applications to Differential Geometry, Physics and Forms of Life PART VIII: THE INTEGRAL THEOREMS OFVECTOR ANALYSIS Green's Theorem Stokes' Theorem Conservative Fields Gauss' Theorem Differential Forms
ISBN 9781429224048 (hbk.) :
Author Marsden, Jerrold E.
Subject Calculus.
Vector analysis.
Alt author Tromba, Anthony.
LOCATION SHELVED AT LOAN TYPE STATUS
 BJL Reading Room 1st floor HDC  QA 303 M3  4 WEEK LOAN  AVAILABLE

Subject Calculus.
Vector analysis.
Descript xxv, 545 p. : ill. (some col.), ports. ; 27 cm.
Note Previous ed.: 2003.
Text on lining papers.
Includes index.
Contents PART I: THE GEOMETRY OF EUCLIDEAN SPACE Vectors in Two- and Three-Dimensional Space The Inner Product, Length, and Distance Matrices, Determinants, and the Cross Product Cylindrical and Spherical Coordinates n-Dimensional Euclidean Space PART II: DIFFERENTIATION The Geometry of Real-Valued Functions Limits and Continuity Differentiation Introduction to Paths and Curves Properties of the Derivative Gradients and Directional Derivatives PART III: HIGHER-ORDER DERIVATIVES: MAXIMA AND MINIMA Iterated Partial Derivatives Taylor's Theorem Extrema of Real-Valued Functions Constrained Extrema and Lagrange Multipliers The Implicit Function Theorem PART IV: VECTOR-VALUED FUNCTIONS Acceleration and Newton's Second Law Arc Length Vector Fields Divergence and Curl PART V: DOUBLE AND TRIPLE INTEGRALS Introduction The Double Integral Over a Rectangle The Double Integral Over More General Regions Changing the Order of Integration The Triple Integral PART VI: THE CHANGE OF VARIABLES FORMULA AND APPLICATION OF INTEGRATION The Geometry of Maps from R2 to R2 The Change of Variables Theorem Applications Improper Integrals PART VII: INTEGRALS OVER PATHS AND SURFACES The Path Integral Line Integrals Parametrized Surfaces Area of a Surface Integrals of Scalar Functions Over Surfaces Surface Integrals of Vector Fields Applications to Differential Geometry, Physics and Forms of Life PART VIII: THE INTEGRAL THEOREMS OFVECTOR ANALYSIS Green's Theorem Stokes' Theorem Conservative Fields Gauss' Theorem Differential Forms
Alt author Tromba, Anthony.
ISBN 9781429224048 (hbk.) :
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