Multivariate calculus and geometry / Sean Dineen.
By: Dineen, Seán.
Material type: BookSeries: Springer undergraduate mathematics series.Publisher: London ; New York : Springer, c1998Description: xii, 262 p. : ill ; 24 cm. + pbk.ISBN: 3540761764 .Subject(s): CalculusDDC classification: 515Item type | Current library | Call number | Copy number | Status | Date due | Barcode | Item holds |
---|---|---|---|---|---|---|---|
General Lending | MTU Bishopstown Library Lending | 515 (Browse shelf(Opens below)) | 1 | Available | 00076247 |
Enhanced descriptions from Syndetics:
This book provides the higher-level reader with a comprehensive review of all important aspects of Differential Calculus, Integral Calculus and Geometric Calculus of several variables The revised edition, which includes additional exercises and expanded solutions, and gives a solid description of the basic concepts via simple familiar examples which are then tested in technically demanding situations. Readers will gain a deep understanding of the uses and limitations of multivariate calculus.
Includes index.
Introduction to differentiable functions -- Level sets and tangent spaces -- Lagrange multipliers -- Maxima and minima on open sets -- Curves in Rn -- Line integrals -- The Frenet-Serret equations -- Geometry of curves in R3 -- Double integration -- Parametrised surfaces in R3 -- Surface area -- Surface integrals -- Stokes' theorem -- Triple integrals -- The divergence theorem -- Geometry of surfaces in R3 -- Gaussian curvature -- Geodesic curvature.
Table of contents provided by Syndetics
- 1 Introduction to Differentiable Functions
- 2 Level Sets and Tangent Spaces
- 3 Lagrange Multipliers
- 4 Maxima and Minima on Open Sets
- 5 Curves in Rn
- 6 Line Integrals
- 7 The Frenet-Serret Equations
- 8 Geometry of Curves in R3
- 9 Double Integration
- 10 Parametrised Surfaces in R3
- 11 Surface Area
- 12 Surface Integrals
- 13 Stokes'Theorem
- 14 Triple Integrals
- 15 The Divergence Theorem
- 16 Geometry of Surfaces in R3
- 17 Gaussian Curvature
- 18 Geodesic Curvature
- Solutions
- Index