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Vector Calculus by Anthony Tromba and Jerrold E. Marsden (2003, Hardcover)

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Item specifics

Condition
Acceptable: A book with obvious wear. May have some damage to the book cover but the book is still ...
ISBN
9780716749929

About this product

Product Identifiers

Publisher
Freeman & Company, W&H
ISBN-10
0716749920
ISBN-13
9780716749929
eBay Product ID (ePID)
2943442

Product Key Features

Number of Pages
704 Pages
Publication Name
Vector Calculus
Language
English
Subject
Calculus
Publication Year
2003
Type
Textbook
Author
Jerrold E. Marsden, Anthony Tromba
Subject Area
Mathematics
Format
Hardcover

Dimensions

Item Height
1.4 in
Item Weight
45.6 Oz
Item Length
9.2 in
Item Width
7.5 in

Additional Product Features

Edition Number
5
Intended Audience
College Audience
LCCN
2003-049184
Dewey Edition
21
Illustrated
Yes
Dewey Decimal
515/.63
Table Of Content
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 2. Differentiation Space 2.1 The Geometry of Real-Valued Functions 2.2 Limits and Continuity 2.3 Differentiation 2.4 Introduction to Paths 2.5 Properties of the Derivative 2.6 Gradients and Directional Derivatives 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 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 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 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 of Double and Triple 6.4 Improper Integrals 7. Integrals 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 Functions 7.7 Applications to Differential Geometry, Physics and Forms of Life 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 Applications to Physics, Engineering, and Differential Equations 8.6 Differential Forms
Synopsis
Now in its fifth edition, Vector Calculus helps students gain an intuitive and solid understanding of this important subject. The book's careful account is a contemporary balance between theory, application, and historical development, providing it's readers with an insight into how mathematics progresses and is in turn influenced by the natural world.
LC Classification Number
QA433

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