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Calculus in 3D: Geometry, Vectors, and Multivariate Calculus

Zbigniew Nitecki



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American Mathematical Society
30 October 2018
Mathematics & Sciences; Calculus
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, MAA Press.
By:   Zbigniew Nitecki
Imprint:   American Mathematical Society
Country of Publication:   United States
Dimensions:   Height: 254mm,  Width: 178mm, 
ISBN:   9781470443603
ISBN 10:   1470443600
Series:   MAA Textbooks
Pages:   405
Publication Date:   30 October 2018
Audience:   Professional and scholarly ,  Undergraduate
Format:   Hardback
Publisher's Status:   Active
Coordinates and vectors Curves and vector-valued functions of one variable Differential calculus for real-valued functions of several variables Integral calculus for real-valued functions of several variables Integral calculus for vector fields and differential forms Appendix Bibliography Index.

Zbigniew Nitecki, Tufts University, Medford, MA.

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