Calculus : multivariable / Brian E. Blank and Steven G. Krantz.
By: Blank, Brian E
.
Contributor(s): Krantz, Steven G. (Steven George).
Material type: 
BookPublisher: Chichester : Wiley-Blackwell, 2010Edition: 2nd rev. ed.Description: various pagings : ill. ; 25 cm. + hbk.ISBN: 9780470453599.Subject(s): Calculus | Variables (Mathematics)DDC classification: 515 | Item type | Current library | Call number | Copy number | Status | Barcode | |
|---|---|---|---|---|---|---|
| General lending | MTU Bishopstown Library Lending | 515 (Browse shelf(Opens below)) | 1 | Available | 00188186 |
Enhanced descriptions from Syndetics:
Blank and Krantz's Calculus 2e brings together time-tested methods and innovative thinking to address the needs of today's students, who come from a wide range of backgrounds and look ahead to a variety of futures. Using meaningful examples, credible applications, and incisive technology, Blank and Krantz's Calculus 2e strives to empower students, enhance their critical thinking skills, and equip them with the knowledge and skills to succeed in the major or discipline they ultimately choose to study. Blank and Krantz's engaging style and clear writing make the language of mathematics accessible, understandable and enjoyable, while maintaining high standards for mathematical rigor.
Blank and Krantz's Calculus 2e is available with WileyPLUS, an online teaching and learning environment initially developed for Calculus and Differential Equations courses. WileyPLUS integrates the complete digital textbook with powerful student and instructor resources as well as online auto-graded homework.
Includes index.
Vectors -- Vector-valued functions -- Functions of several variables -- Multiple integrals -- Vector calculus.
A classic calculus text which fits well with most universities course sequence. Features: Clear writing and extensive examples make this book accessible to all students. Blank and Krantz's engaging style makes the language of mathematics understandable and enjoyable. ... Publisher description.
Table of contents provided by Syndetics
- Chapter 9 Vectors
- Preview
- 1 Vectors in the Plane
- 2 Vectors in Three-Dimensional Space
- 3 The Dot Product and Applications
- 4 The Cross Product and Triple Product
- 5 Lines and Planes in Space
- Summary of Key Topics in Chapter 9
- Review Exercises for Chapter 9
- Genesis and Development
- Chapter 10 Curves in Space
- Preview
- 1 Vector-Valued Functions-Limits, Derivatives, and Continuity
- 2 Velocity and Acceleration
- 3 Tangent Vectors and Arc Length
- 4 Curvature
- 5 Applications of Vector-Valued Functions to Motion
- Summary of Key Topics in Chapter 10
- Review Exercises for Chapter 10
- Genesis and Development
- Chapter 11 Functions of Several Variables
- Preview
- 1 Functions of Several Variables
- 2 Cylinders and Quadric Surfaces
- 3 Limits and Continuity
- 4 Partial Derivatives
- 5 Differentiability and The Chain Rule
- 6 Gradients and Directional Derivatives
- 7 Tangent Planes
- 8 Maximum-Minimum Problems
- 9 Lagrange Multipliers
- Summary of Key Topics in Chapter 11
- Review Exercises for Chapter 11
- Genesis and Development
- Chapter 12 Multiple Integrals
- Preview
- 1 Double Integrals over Rectangular Regions
- 2 Integration over More General Regions
- 3 Calculation of Volumes of Solids
- 4 Polar Coordinates
- 5 Integrating in Polar Coordinates
- 6 Triple Integrals
- 7 Physical Applications
- 8 Other Coordinate Systems
- Summary of Key Topics in Chapter 12
- Review Exercises for Chapter 12
- Genesis and Development
- Chapter 13 Vector Calculus
- Preview
- 1 Vector Fields
- 2 Line Integrals
- 3 Conservative Vector Fields and Path Independence
- 4 Divergence, Gradient, and Curl
- 5 Green's Theorem
- 6 Surface Integrals
- 7 Stokes's Theorem
- 8 The Divergence Theorem
- Summary of Key Topics in Chapter 13
- Review Exercises for Chapter 13
- Genesis and Development
Author notes provided by Syndetics
Brian E Blank is an associate professor of mathematics at Washington University in St. Louis. He received his Ph.D. in 1980 at Cornell University, with Anthony Knapp as advisor. His 20th century work involved harmonic analysis.
Steven G Krantz is an American scholar, mathematician, and writer. He has authored more than 235 research papers and more than 125 books. Additionally, Krantz has edited journals such as the Notices of the American Mathematical Society and The Journal of Geometric Analysis .