Title
Vector Calculus (3Rd Edition)-used
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This Text Uses The Language And Notation Of Vectors And Matrices To Clarify Issues In Multivariable Calculus. Accessible To Anyone With A Good Background In Singlevariable Calculus, It Presents More Linear Algebra Than Usually Found In A Multivariable Calculus Book. Colley Balances This With Very Clear And Expansive Exposition, Many Figures, And Numerous, Wideranging Exercises. Instructors Will Appreciate Colleys Writing Style, Mathematical Precision, Level Of Rigor, And Full Selection Of Topics Treated.Vectors: Vectors In Two And Three Dimensions. More About Vectors. The Dot Product. The Cross Product. Equations For Planes; Distance Problems. Some Ndimensional Geometry. New Coordinate Systems. Differentiation In Several Variables: Functions Of Several Variables; Graphing Surfaces. Limits. The Derivative. Properties; Higherorder Partial Derivatives; Newtons Method. The Chain Rule. Directional Derivatives And The Gradient. Vectorvalued Functions: Parametrized Curves And Kepler'S Laws. Arclength And Differential Geometry. Vector Fields: An Introduction. Gradient, Divergence, Curl, And The Del Operator. Maxima And Minima In Several Variables: Differentials And Taylor'S Theorem. Extrema Of Functions. Lagrange Multipliers. Some Applications Of Extrema. Multiple Integration: Introduction: Areas And Volumes. Double Integrals. Changing The Order Of Integration. Triple Integrals. Change Of Variables. Applications Of Integration. Line Integrals: Scalar And Vector Line Integrals. Green'S Theorem. Conservative Vector Fields. Surface Integrals And Vector Analysis: Parametrized Surfaces. Surface Integrals. Stokes'S And Gauss'S Theorems. Further Vector Analysis; Maxwell'S Equations. Vector Analysis In Higher Dimensions: An Introduction To Differential Forms. Manifolds And Integrals Of Kforms. The Generalized Stokes'S Theorem.For All Readers Interested In Multivariable Calculus.
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- Q: What topics are covered in 'Vector Calculus (3rd Edition)'? A: This book covers a range of topics including vectors in two and three dimensions, differentiation in several variables, vector-valued functions, multiple integration, line integrals, and vector analysis, among others.
- Q: Who is the author of 'Vector Calculus (3rd Edition)'? A: The author of 'Vector Calculus (3rd Edition)' is Susan J. Colley.
- Q: What is the publication date of this book? A: The book was published on March 26, 2005.
- Q: Is 'Vector Calculus (3rd Edition)' suitable for beginners? A: Yes, the book is accessible to readers with a good background in single-variable calculus, making it suitable for beginners.
- Q: What is the binding type of this book? A: The book is available in hardcover binding.
- Q: How many pages does 'Vector Calculus (3rd Edition)' have? A: The book contains 576 pages.
- Q: Can 'Vector Calculus (3rd Edition)' be used for self-study? A: Yes, the clear exposition and numerous exercises make it suitable for self-study.
- Q: What edition is 'Vector Calculus (3rd Edition)'? A: This is the third edition of 'Vector Calculus'.
- Q: Does this book include exercises and solutions? A: Yes, it includes numerous wide-ranging exercises to help reinforce understanding.
- Q: Is there a specific audience for this book? A: The book is intended for all readers interested in multivariable calculus, including students and instructors.