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Functions of Two Variables
ISBN-13:
9781351990226
Veröffentl:
2017
Seiten:
208
Autor:
Sean Dineen
eBook Typ:
EPUB
eBook Format:
EPUB
Kopierschutz:
2 - DRM Adobe
Sprache:
Englisch
Beschreibung:
The second edition of this bestselling text 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. 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.
Functions from R2 to R. Partial Derivatives. Critical Points. Maxima and Minima. Saddle Points. Sufficiently Regular Functions. Linear Approximation. Tangent Lines. Method and Examples of Lagrange Multipliers. Theory and Examples of Lagrange Multipliers. Tangent Planes. The Chain Rule. Directed Curves. Curvature. Quadratic Approximation. Vector Valued Differentiation. Complex Analysis. Line Integrals. The Fundamental Theorem of Calculus. Double Integrals. Coordinate Systems. Green's Theorem. Solutions. Index.
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