Calculus Volume 3 Gilbert Strang, Edwin Herman [PDF]
Calculus (Vol 3) by Gilbert Strang, Edwin “Jed” Herman
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About this book :-
Calculus (Vol 3) written by
Gilbert Strang, Edwin “Jed” Herman .
This textbook Calculus is designed for the typical two or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 1 covers functions, limits, derivatives, and integration.
Book Detail :-
Title: Calculus 3
Author(s): Gilbert Strang, Edwin “Jed” Herman
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About Author :-
The author William Gilbert Strang was born in 1934, usually known as simply Gilbert Strang or Gil Strang, is an American mathematician, with contributions to finite element theory, the calculus of variations, wavelet analysis and linear algebra. He has made many contributions to mathematics education, including publishing seven mathematics textbooks and one monograph. Strang is the MathWorks Professor of Mathematics at the Massachusetts Institute of Technology. He teaches Introduction to Linear Algebra and Computational Science and Engineering and his lectures are freely available through MIT OpenCourseWare.
All Famous Books of this Author :-
Here is list all books, text books, editions, versions or solution manuals avaliable of this author, We recomended you to download all.
• Download PDF Calculus (Vol 1) by Gilbert Strang, Edwin Herman
• Download PDF Calculus (Vol 2) by Gilbert Strang, Edwin Herman
• Download PDF Calculus (Vol 3) by Gilbert Strang, Edwin Herman
• Download PDF Calculus-2E--Gilbert-Strang
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Book Contents :-
Calculus (Vol 3) written by
Gilbert Strang, Edwin “Jed” Herman
cover the following topics.
1. Parametric Equations and Polar Coordinates
1.1 Parametric Equations
1.2 Calculus of Parametric Curves
1.3 Polar Coordinates
1.4 Area and Arc Length in Polar Coordinates
1.5 Conic Sections
2. Vectors in Space
2.1 Vectors in the Plane
2.2 Vectors in Three Dimensions
2.3 The Dot Product
2.4 The Cross Product
2.5 Equations of Lines and Planes in Space
2.6 Quadric Surfaces
2.7 Cylindrical and Spherical Coordinates
3. Vector-Valued Functions
3.1 Vector-Valued Functions and Space Curves
3.2 Calculus of Vector-Valued Functions
3.3 Arc Length and Curvature
3.4 Motion in Space
4. Differentiation of Functions of Several Variables
4.1 Functions of Several Variables
4.2 Limits and Continuity
4.3 Partial Derivatives
4.4 Tangent Planes and Linear Approximations
4.5 The Chain Rule
4.6 Directional Derivatives and the Gradient
4.7 Maxima/Minima Problems
4.8 Lagrange Multipliers
5. Multiple Integration
5.1 Double Integrals over Rectangular Regions
5.2 Double Integrals over General Regions
5.3 Double Integrals in Polar Coordinates
5.4 Triple Integrals
5.5 Triple Integrals in Cylindrical and Spherical Coordinates
5.6 Calculating Centers of Mass and Moments of Inertia
5.7 Change of Variables in Multiple Integrals
6. Vector Calculus
6.1 Vector Fields
6.2 Line Integrals
6.3 Conservative Vector Fields
6.4 Green’s Theorem
6.5 Divergence and Curl
6.6 Surface Integrals
6.7 Stokes’ Theorem
6.8 The Divergence Theorem
7. Second-Order Differential Equations
7.1 Second-Order Linear Equations
7.2 Nonhomogeneous Linear Equations
7.4 Series Solutions of Differential Equations
A: Table of Integrals
B: Table of Derivatives
C: Review of Pre-Calculus
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