Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
Share this page via the icons above, or by copying the link below:
Copy To Clipboard
Successfully Copied!
Calculus in 3D: Geometry, Vectors, and Multivariate Calculus
 
Zbigniew Nitecki Tufts University, Medford, MA
Calculus in 3D
MAA Press: An Imprint of the American Mathematical Society
Hardcover ISBN:  978-1-4704-4360-3
Product Code:  TEXT/40
List Price: $79.00
MAA Member Price: $59.25
AMS Member Price: $59.25
eBook ISBN:  978-1-4704-4888-2
Product Code:  TEXT/40.E
List Price: $75.00
MAA Member Price: $56.25
AMS Member Price: $56.25
Hardcover ISBN:  978-1-4704-4360-3
eBook: ISBN:  978-1-4704-4888-2
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
Calculus in 3D
Click above image for expanded view
Calculus in 3D: Geometry, Vectors, and Multivariate Calculus
Zbigniew Nitecki Tufts University, Medford, MA
MAA Press: An Imprint of the American Mathematical Society
Hardcover ISBN:  978-1-4704-4360-3
Product Code:  TEXT/40
List Price: $79.00
MAA Member Price: $59.25
AMS Member Price: $59.25
eBook ISBN:  978-1-4704-4888-2
Product Code:  TEXT/40.E
List Price: $75.00
MAA Member Price: $56.25
AMS Member Price: $56.25
Hardcover ISBN:  978-1-4704-4360-3
eBook ISBN:  978-1-4704-4888-2
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
  • Book Details
     
     
    AMS/MAA Textbooks
    Volume: 402018; 405 pp
    MSC: Primary 26

    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.

    Ancillaries:

    Readership

    Undergraduate students interested in honors calculus.

  • Table of Contents
     
     
    • Chapters
    • Chapter 1. Coordinates and vectors
    • Chapter 2. Curves and vector-valued functions of one variable
    • Chapter 3. Differential calculus for real-valued functions of several variables
    • Chapter 4. Integral calculus for real-valued functions of several variables
    • Chapter 5. Integral calculus for vector fields and differential forms
    • Appendix
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Desk Copy – for instructors who have adopted an AMS textbook for a course
    Instructor's Manual – for instructors who have adopted an AMS textbook for a course and need the instructor's manual
    Examination Copy – for faculty considering an AMS textbook for a course
    Accessibility – to request an alternate format of an AMS title
Volume: 402018; 405 pp
MSC: Primary 26

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.

Ancillaries:

Readership

Undergraduate students interested in honors calculus.

  • Chapters
  • Chapter 1. Coordinates and vectors
  • Chapter 2. Curves and vector-valued functions of one variable
  • Chapter 3. Differential calculus for real-valued functions of several variables
  • Chapter 4. Integral calculus for real-valued functions of several variables
  • Chapter 5. Integral calculus for vector fields and differential forms
  • Appendix
Review Copy – for publishers of book reviews
Desk Copy – for instructors who have adopted an AMS textbook for a course
Instructor's Manual – for instructors who have adopted an AMS textbook for a course and need the instructor's manual
Examination Copy – for faculty considering an AMS textbook for a course
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.