Calculus in 3D: Geometry, Vectors, and Multivariate Calculus (MAA Textbooks)

Calculus in 3D: Geometry, Vectors, and Multivariate Calculus (MAA Textbooks)

English | ISBN: 1470443600 | 2018 | 405 Pages | PDF | 9 MB

Calculus in 3D is an accessible, well-written textbook for an honors course in multivariable calculus for mathematically strong first- or second-year university students. The treatment given here carefully balances theoretical rigor, the development of student facility in the procedures and algorithms, and inculcating intuition into underlying geometric principles. The focus throughout is on two or three dimensions. All of the standard multivariable material is thoroughly covered, including vector calculus treated through both vector fields and differential forms. There are rich collections of problems ranging from the routine through the theoretical to deep, challenging problems suitable for in-depth projects. Linear algebra is developed as needed. Unusual features include a rigorous formulation of cross products and determinants as oriented area, an in-depth treatment of conics harking back to the classical Greek ideas, and a more extensive than usual exploration and use of parametrized curves and surfaces. Zbigniew Nitecki is Professor of Mathematics at Tufts University and a leading authority on smooth dynamical systems. He is the author of Differentiable Dynamics, MIT Press; Differential Equations, A First Course (with M. Guterman), Saunders; Differential Equations with Linear Algebra (with M. Guterman), Saunders; and Calculus Deconstructed, AMS.

Download:

http://longfiles.com/erjkcv665le2/Calculus_in_3D_Geometry,_Vectors,_and_Multivariate_Calculus_(MAA_Textbooks).pdf.html

[Fast Download] Calculus in 3D: Geometry, Vectors, and Multivariate Calculus (MAA Textbooks)


Related eBooks:
Differential Geometry From a Singularity Theory Viewpoint
Introduction to the Qualitative Theory of Differential Systems: Planar, Symmetric and Continuous Pie
Introduction to Stochastic Integration Ed 2
The Localization Problem in Index Theory of Elliptic Operators
Looking at Numbers
Fourier Analysis: Pseudo-differential Operators, Time-Frequency Analysis and Partial Differential Eq
Stochastic Approximation and NonLinear Regression
Reading Frege's Grundgesetze
Introduction to Applied Nonlinear Dynamical Systems and Chao
Quadratic Programming and Affine Variational Inequalities
Thomas' Calculus: Early Transcendentals, 13th Edition
Proper Generalized Decompositions: An Introduction to Computer Implementation with Matlab
Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.