A01=Sean Dineen
Absolute Curvature
advanced mathematics
Anticlockwise
Author_Sean Dineen
calculus for scientists
Category=PB
Cauchy Riemann Equation
Closed Curve
complex variable theory
Continuous Functions
derivatives
Dot Product
Dw
Dx Dy
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
F og
F ◦g
Follow
Holomorphic Function
Implicit Function Theorem
lagrange
Lagrange Multipliers
level
Level Set
Line Integrals
local
Local Maximum
Local Minimum
mathematical optimization
Matrix Multiplication
maxima
multiplier
multivariate analysis
open
Open Set
Open Subset
order
Order Partial Derivatives
partial
Riemann Sum
rigorous multivariate calculus textbook
set
Sin3
Smooth
Unit Speed Parametrizations
vector calculus methods
Product details
- ISBN 9781584881902
- Weight: 294g
- Dimensions: 156 x 234mm
- Publication Date: 22 Jun 2000
- Publisher: Taylor & Francis Inc
- Publication City/Country: US
- Product Form: Paperback
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Multivariate calculus, as traditionally presented, can overwhelm students who approach it directly from a one-variable calculus background. There is another way-a highly engaging way that does not neglect readers' own intuition, experience, and excitement. One that presents the fundamentals of the subject in a two-variable context and was set forth in the popular first edition of Functions of Two Variables.
The second edition goes even further toward a treatment that is at once gentle but rigorous, atypical yet logical, and ultimately an ideal introduction to a subject important to careers both within and outside of mathematics. The author's style remains informal and his approach problem-oriented. He takes care to motivate concepts prior to their introduction and to justify them afterwards, to explain the use and abuse of notation and the scope of the techniques developed.
Functions of Two Variables, Second Edition includes a new section on tangent lines, more emphasis on the chain rule, a rearrangement of several chapters, refined examples, and more exercises. It maintains a balance between intuition, explanation, methodology, and justification, enhanced by diagrams, heuristic comments, examples, exercises, and proofs.
