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AMS Member Price:  $115.50 $87.38 
Sale Price:  $100.10 $75.73 
Hardcover ISBN:  9781470443603 
Product Code:  TEXT/40 
List Price:  $79.00 
MAA Member Price:  $59.25 
AMS Member Price:  $59.25 
Sale Price:  $51.35 
eBook ISBN:  9781470448882 
Product Code:  TEXT/40.E 
List Price:  $75.00 
MAA Member Price:  $56.25 
AMS Member Price:  $56.25 
Sale Price:  $48.75 
Hardcover ISBN:  9781470443603 
eBook ISBN:  9781470448882 
Product Code:  TEXT/40.B 
List Price:  $154.00 $116.50 
MAA Member Price:  $115.50 $87.38 
AMS Member Price:  $115.50 $87.38 
Sale Price:  $100.10 $75.73 

Book DetailsAMS/MAA TextbooksVolume: 40; 2018; 405 ppMSC: Primary 26
Calculus in 3D is an accessible, wellwritten textbook for an honors course in multivariable calculus for mathematically strong first or secondyear 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 indepth projects. Linear algebra is developed as needed. Unusual features include a rigorous formulation of cross products and determinants as oriented area, an indepth 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.
Ancillaries:
ReadershipUndergraduate students interested in honors calculus.

Table of Contents

Chapters

Chapter 1. Coordinates and vectors

Chapter 2. Curves and vectorvalued functions of one variable

Chapter 3. Differential calculus for realvalued functions of several variables

Chapter 4. Integral calculus for realvalued functions of several variables

Chapter 5. Integral calculus for vector fields and differential forms

Appendix


Additional Material

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Calculus in 3D is an accessible, wellwritten textbook for an honors course in multivariable calculus for mathematically strong first or secondyear 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 indepth projects. Linear algebra is developed as needed. Unusual features include a rigorous formulation of cross products and determinants as oriented area, an indepth 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.
Ancillaries:
Undergraduate students interested in honors calculus.

Chapters

Chapter 1. Coordinates and vectors

Chapter 2. Curves and vectorvalued functions of one variable

Chapter 3. Differential calculus for realvalued functions of several variables

Chapter 4. Integral calculus for realvalued functions of several variables

Chapter 5. Integral calculus for vector fields and differential forms

Appendix