Calculus: Multivariable (update) - Rilegato

Smith, Robert T; Minton, Roland B

Rilegato

ISBN 10: 0072837349 ISBN 13: 9780072837346

Casa editrice: McGraw-Hill Higher Education, 2002

Riassunto

The wide-ranging debate brought about by the calculus reform movement has had a significant impact on calculus textbooks. In response to many of the questions and concerns surrounding this debate, the authors have written a modern calculus textbook, intended for students majoring in mathematics, physics, chemistry, engineering and related fields. The text is written for the average student -- one who does not already know the subject, whose background is somewhat weak in spots, and who requires a significant motivation to study calculus.

The authors follow a relatively standard order of presentation, while integrating technology and thought-provoking exercises throughout the text. Some minor changes have been made in the order of topics to reflect shifts in the importance of certain applications in engineering and science. This text also gives an early introduction to logarithms, exponentials and the trigonometric functions. Wherever practical, concepts are developed from graphical, numerical, and algebraic perspectives (the "Rule of Three") to give students a full understanding of calculus. This text places a significant emphasis on problem solving and presents realistic applications, as well as open-ended problems.

Su questo libro

Contenuti

10 Vectors and the Geometry of Space

10.1 Vectors in the Plane

10.2 Vectors in Space

10.3 The Dot Product

10.4 The Cross Product

10.5 Lines and Planes in Space

10.6 Surfaces in Space

11 Vector-Valued Functions

11.1 Vector-Valued Functions

11.2 The Calculus of Vector-Valued Functions

11.3 Motion in Space

11.4 Curvature

11.5 Tangent and Normal Vectors

12 Functions of Several Variables and Differentiation

12.1 Functions of Several Variables

12.2 Limits and Continuity

12.3 Partial Derivatives

12.4 Tangent Planes and Linear Approximations

12.5 The Chain Rule

12.6 The Gradient and Directional Derivatives

12.7 Extrema of Functions of Several Variables

12.8 Constrained Optimization and Lagrange Multipliers

13 Multiple Integrals

13.1 Double Integrals

13.2 Area, Volume and Center of Mass

13.3 Double Integrals in Polar Coordinates

13.4 Surface Area

13.5 Triple Integrals

13.6 Cylindrical Coordinates

13.7 Spherical Coordinates

13.8 Change of Variables in Multiple Integrals

14 Vector Calculus

14.1 Vector Fields

14.2 Line Integrals

14.3 Independence of Path and Conservative Vector Fields

14.4 Green's Theorem

14.5 Curl and Divergence

14.6 Surface Integrals

14.7 The Divergence Theorem

14.8 Stokes' Theorem

Product Description

Book by Smith Robert T Minton Roland B Minton Roland

Dettagli dell'edizione

• Editore: McGraw-Hill Higher Education
• Data di pubblicazione: 2002
• Lingua: Inglese
• ISBN 10: 0072837349
• ISBN 13: 9780072837346
• Rilegatura: Copertina rigida
• Numero edizione: 2
• Numero di pagine: 464
• Contatto del produttore: non disponibile
• Persona responsabile: Ufficio Anagrafiche Messaggerie; 0039 0245774342; ufficio.anagrafiche@meli.it; ; Via Verdi, 8.; Assago Milano; 20090; Italia