Calculus Several Variables Canadian 9th Edition Adams Solutions Manual
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Calculus Several Variables Canadian 9th Edition Adams Solutions Manual.
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Calculus Several Variables Canadian 9th Edition Adams Solutions Manual
Product details:
- ISBN-10 : 013458869X
- ISBN-13 : 978-0134588698
- Author: Robert Adams
Proven in North America and abroad, this classic text has earned a reputation for excellent accuracy and mathematical rigour. Previous editions have been praised for providing complete and precise statements of theorems, using geometric reasoning in applied problems, and for offering a range of applications across the sciences. Written in a clear, coherent, and readable form, Calculus: A Complete Course makes student comprehension a clear priority.
Table contents:
1 Vectors and Sets in Rm
1.1 Vectors in Rm
1.2 Lines and Planes in R3
1.3 Points or Vectors?
1.4 Convergent Sequences in Rm
1.5 Sets in Rm
2 Functions of Several Variables
2.1 Functions, Domains and Codomains
2.2 The Graph of a Function
2.3 Level Sets
2.4 Quadric Surfaces
2.5 Curves
3 Limits and Continuity
3.1 Limit of a Function
3.2 Two-Path Test for the Nonexistence of a Limit
3.3 Functions with Limit at a Point
3.4 Continuous Functions
3.5 Continuous Extensions
4 Differentiable Functions
4.1 Partial Derivatives
4.2 The Tangent Plane to a Surface
4.3 Differentiable Functions
4.4 A Criterion for Differentiability
4.5 Differentiability of Vector Valued Functions
5 Chain Rule
5.1 Chain Rule for Several Variable Functions
5.2 Implicit Differentiation
5.3 Mean Value Theorem in Several Variables
6 Directional Derivative
6.1 Directional Derivative
6.2 A Geometric Insight
6.3 The Gradient and the Level Sets
7 Second Order Derivatives
7.1 Second Order Derivatives
7.2 Chain Rule for Second Order Derivatives
7.3 The Laplace Operator
8 Taylor’s Theorem
8.1 Higher Order Derivatives
8.3 Taylor’s Theorem
8.3 Linear and Quadratic Approximation
9 Implicit Function Theorem
9.1 Preliminaries
9.2 Two Variable Case
9.3 Three Variable Case
9.4 The General Case
10 Local and Global Extrema
10.1 Extreme Values and Critical Points
10.2 Second Order Derivative Test
10.3 The Inconclusive Case
11 Constrained Optimization
11.1 Motivation
11.2 Lagrange Multipliers Method, Part I
11.3 Lagrange Multipliers Method, Part II
11.4 Extrema of Functions on General Compact Sets
11.5 Some Applications to Business and Economics
12 Solutions
Appendix: Useful Facts in Linear Algebra
A.1 Basics
A.2 Determinants
A.3 Inverse Matrices
A.4 The Rank of a Matrix
A.5 Positive and Negative Definite Matrices
Bibliography
Index
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