Vector Calculus 6th Edition by Jerrold Marsden, Anthony Tromba – Ebook PDF Instant Download/Delivery: 1429215089 , 978-1429215084
Full download Vector Calculus 6th edition after payment
Product details:
ISBN 10: 1429215089
ISBN 13: 978-1429215084
Author: Jerrold Marsden, Anthony Tromba
With a contemporary balance between theory, application, and historical development, Vector Calculus gives you insight into how mathematics progresses while being influenced by the natural world.
Vector Calculus 6th Table of contents:
1 The Geometry of Euclidean Space
1.1 Vectors in Two- and Three-Dimensional Space
1.2 The Inner Product, Length, and Distance
1.3 Matrices, Determinants, and the Cross Product
1.4 Cylindrical and Spherical Coordinates
1.5 n-Dimensional Euclidean Space
Review Exercises for Chapter 1
2 Differentiation
2.1 The Geometry of Real-Valued Functions
2.2 Limits and Continuity
2.3 Differentiation
2.4 Introduction to Paths and Curves
2.5 Properties of the Derivative
2.6 Gradients and Directional Derivatives
Review Exercises for Chapter 2
3 Higher-Order Derivatives: Maxima and Minima
3.1 Iterated Partial Derivatives
3.2 Taylor’s Theorem
3.3 Extrema of Real-Valued Functions
3.4 Constrained Extrema and Lagrange Multipliers
3.5 The Implicit Function Theorem [Optional]
Review Exercises for Chapter 3
4 Vector-Valued Functions
4.1 Acceleration and Newton’s Second Law
4.2 Arc Length
4.3 Vector Fields
4.4 Divergence and Curl
Review Exercises for Chapter 4
5 Double and Triple Integrals
5.1 Introduction
5.2 The Double Integral Over a Rectangle
5.3 The Double Integral Over More General Regions
5.4 Changing the Order of Integration
5.5 The Triple Integral
Review Exercises for Chapter 5
6 The Change of Variables Formula and Applications of Integration
6.1 The Geometry of Maps from R2 to R2
6.2 The Change of Variables Theorem
6.3 Applications
6.4 Improper Integrals [Optional]
Review Exercises for Chapter 6
7 Integrals Over Paths and Surfaces
7.1 The Path Integral
7.2 Line Integrals
7.3 Parametrized Surfaces
7.4 Area of a Surface
7.5 Integrals of Scalar Functions Over Surfaces
7.6 Surface Integrals of Vector Fields
7.7 Applications to Differential Geometry, Physics, and Forms of Life
Review Exercises for Chapter 7
8 The Integral Theorems of Vector Analysis
8.1 Green’s Theorem
8.2 Stokes’ Theorem
8.3 Conservative Fields
8.4 Gauss’ Theorem
8.5 Differential Forms
People also search for Vector Calculus 6th:
vector calculus marsden and tromba 6th edition
marsden and tromba vector calculus 6th edition freeman
marsden and tromba vector calculus 6th edition freeman pdf
vector calculus 6th edition solutions pdf
vector calculus 6th edition solutions