Frederick H. Soon

Student's Guide to Calculus by J. Marsden and A. Weinstein (eBook, PDF)

Volume III

• Format: PDF

Produktbeschreibung

This book is intended to help students using Marsden and Weinstein's Calculus III. It reinforces the concepts introduced there with exercises, study hints, and quizzes; and it provides detailed solutions of the odd-numbered exercises of the text.

---

Dieser Download kann aus rechtlichen Gründen nur mit Rechnungsadresse in A, B, BG, CY, CZ, D, DK, EW, E, FIN, F, GR, HR, H, IRL, I, LT, L, LR, M, NL, PL, P, R, S, SLO, SK ausgeliefert werden.

Produktdetails

• Verlag: Springer US
• Seitenzahl: 294
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9781461249702
• Artikelnr.: 43993296

Inhaltsangabe

13 -- Vectors.- 13.1 Vectors in the Plane.- 13.2 Vectors in Space.- 13.3 Lines and Distance.- 13.4 The Dot Product.- 13.5 The Cross Product.- 13.6 Matrices and Determinants.- 13.R Review Exercises for Chapter 13.- 14 -- Curves and Surfaces.- 14.1 The Conic Sections.- 14.2 Translation and Rotstion of Axes.- 14.3 Functions, Graphs, and Level Surfaces.- 14.4 Quadric Surfaces.- 14.5 Cylindrical and Spherical Coordinates.- 14.6 Curves in Space.- 14.7 The Geometry and Physics of Space Curves.- 14.S Supplement to Chapter 14: Rotations and the Sunshine Formula.- 14.R Review Exercises for Chapter 14.- 15 -- Partial Differentiation.- 15.1 Introduction to Partial Derivatives.- 15.2 Linear Approximation and Tangent Planes.- 15.3 The Chain Rule.- 15.4 Matrix Multiplication and the Chain Rule.- 15.R Review Exercises for Chapter 15.- Comprehensive Test For Chapters 13 - 15.- 16 -- Gradients, Maxima, and Minima.- 16.1 Gradients and Directional Derivatives.- 16.2 Gradients, Level Surfaces, and Implicit Differentiation.- 16.3 Maxima and Minima.- 16.4 Constrained Extrema and Lagrange Multipliers.- l6.R Review Exercises for Chapter 16.- 17 -- Multiple Integration.- 17.1 The Double Integral and Iterated Integral.- 17.2 The Double Integral Over General Regions.- 17.3 Applications of the Double Integral.- 17.4 Triple Integrals.- 17.5 Integrals in Polar, Cylindrical, and Spherical Coordinates.- 17.6 Applications of Triple Integrals.- l7.R Review Exercises for Chapter 17.- 18 -- Vector Analysis.- 18.1 Line Integrals 839.- 18.2 Path Independence.- 18.3 Exact Differentials.- 18.4 Green's Theorem.- 18.5 Circulation and Stokes' Theorem.- 18.6 Flux and the Divergence Theorem.- l8.R Review Exercises for Chapter 18.- Comprehensive Test for Chapters 13 - 18.