Ghergu M. Differential Calculus in Several Variables. A Learning-by-Doing 2024

Download this torrent!

Ghergu M. Differential Calculus in Several Variables. A Learning-by-Doing 2024

Category: Other
Total size: 0.01 kB
Added: 2025-03-10 23:38:53

Share ratio: 2 seeders, 4 leechers
Info Hash: 6A7B2F2777F605E0D19BB6910A7EC4AC358875B2
Last updated: 10.6 hours ago

Textbook in PDF format Preface Foreword to the Student Vectors and Sets in Rm Vectors in Rm Lines and Planes in R3 Points or Vectors? Convergent Sequences in Rm Sets in Rm Functions of Several Variables Functions, Domains and Codomains The Graph of a Function Level Sets Quadric Surfaces Curves Limits and Continuity Limit of a Function Two-Path Test for the Nonexistence of a Limit Functions with Limit at a Point Continuous Functions Continuous Extensions Differentiable Functions Partial Derivatives The Tangent Plane to a Surface Differentiable Functions A Criterion for Differentiability Differentiability of Vector-Valued Functions Chain Rule Chain Rule for Several Variable Functions Implicit Differentiation Mean Value Theorem in Several Variables Directional Derivative Directional Derivative A Geometric Insight The Gradient and the Level Sets Second-Order Derivatives Second-Order Derivatives Chain Rule for Second-Order Derivatives The Laplace Operator Taylor’s Theorem Higher Order Derivatives Taylor’s Theorem Linear and Quadratic Approximation Implicit Function Theorem Preliminaries Two-Variable Case Three-Variable Case The General Case Local and Global Extrema Extreme Values and Critical Points Second-Order Derivative Test The Inconclusive Case Constrained Optimization Motivation Lagrange Multipliers Method, Part I Lagrange Multipliers Method, Part II Extrema of Functions on General Compact Sets Some Applications to Business and Economics Solutions Useful Facts in Linear Algebra Bibliography Index