The Resource Multivariable Calculus and Mathematica® : With Applications to Geometry and Physics, by Kevin R. Coombes, Ronald L. Lipsman, Jonathan M. Rosenberg, (electronic resource)

Multivariable Calculus and Mathematica® : With Applications to Geometry and Physics, by Kevin R. Coombes, Ronald L. Lipsman, Jonathan M. Rosenberg, (electronic resource)

Label
Multivariable Calculus and Mathematica® : With Applications to Geometry and Physics
Title
Multivariable Calculus and Mathematica®
Title remainder
With Applications to Geometry and Physics
Statement of responsibility
by Kevin R. Coombes, Ronald L. Lipsman, Jonathan M. Rosenberg
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • eng
Summary
One of the authors' stated goals for this publication is to "modernize" the course through the integration of Mathematica. Besides introducing students to the multivariable uses of Mathematica, and instructing them on how to use it as a tool in simplifying calculations, they also present intoductions to geometry, mathematical physics, and kinematics, topics of particular interest to engineering and physical science students. In using Mathematica as a tool, the authors take pains not to use it simply to define things as a whole bunch of new "gadgets" streamlined to the taste of the authors, but rather they exploit the tremendous resources built into the program. They also make it clear that Mathematica is not algorithms. At the same time, they clearly see the ways in which Mathematica can make things cleaner, clearer and simpler. The problem sets give students an opportunity to practice their newly learned skills, covering simple calculations with Mathematica, simple plots, a review of one-variable calculus using Mathematica for symbolic differentiation, integration and numberical integration. They also cover the practice of incorporating text and headings into a Mathematica notebook. A DOS-formatted diskette accompanies the printed work, containing both Mathematica 2.2 and 3.0 version notebooks, as well as sample examination problems for students. This supplementary work can be used with any standard multivariable calculus textbook. It is assumed that in most cases students will also have access to an introductory primer for Mathematica
http://library.link/vocab/creatorName
Coombes, Kevin R
Dewey number
515/.84/078553042
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • yw_W2L83_wo
  • JOtSmzn9s78
  • uvkAPDEhsbE
Image bit depth
0
Language note
English
LC call number
QA299.6-433
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
  • Lipsman, Ronald L.
  • Rosenberg, Jonathan M.
http://library.link/vocab/subjectName
  • Global analysis (Mathematics)
  • Mathematics
  • Global differential geometry
  • Algorithms
  • Engineering mathematics
  • Analysis
  • Real Functions
  • Differential Geometry
  • Algorithms
  • Theoretical, Mathematical and Computational Physics
  • Mathematical and Computational Engineering
Label
Multivariable Calculus and Mathematica® : With Applications to Geometry and Physics, by Kevin R. Coombes, Ronald L. Lipsman, Jonathan M. Rosenberg, (electronic resource)
Instantiates
Publication
Note
Includes index
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Color
not applicable
Content category
text
Content type code
  • txt
Contents
Benefits of Mathematical Software -- What’s in This Book -- What’s Not in This Book -- How to Use This Book -- A Word About Versions of Mathematica -- Problem Set A: Review of One-Variable Calculus -- Vectors and Graphics -- Vectors -- Parametric Curves -- Graphing Surfaces -- Parametric Surfaces -- Problem Set B: Vectors and Graphics -- Geometry of Curves -- Parametric Curves -- Geometric Invariants -- Differential Geometry of Curves -- Two More Examples -- Problem Set C: Curves -- Kinematics -- Newton’s Laws of Motion -- Kepler’s Laws of Planetary Motion -- Studying Equations of Motion with Mathematica -- Problem Set D: Kinematics -- Directional Derivatives -- Visualizing Functions of Two Variables -- The Gradient of a Function of Two Variables -- Functions of Three or More Variables -- Problem Set E: Directional Derivatives and the Gradient -- Geometry of Surfaces -- The Concept of a Surface -- The Implicit Function Theorem -- Geometric Invariants -- Curvature Calculations with Mathematica -- Problem Set F: Surfaces -- Optimization in Several Variables -- The One-Variable Case -- Functions of Two Variables -- Three or More Variables -- Problem Set G: Optimization -- Multiple Integrals -- Automation and Integration -- Regions in the Plane -- Viewing Simple Regions -- Polar Regions -- Viewing Solid Regions -- A More Complicated Example -- Cylindrical Coordinates -- More General Changes of Coordinates -- Problem Set H: Multiple Integrals -- Physical Applications of Vector Calculus -- Motion in a Central Force Field -- Newtonian Gravitation -- Electricity and Magnetism -- Fluid Flow -- Problem Set I: Physical Applications -- Appendix: Energy Minimization and Laplace’s Equation -- Mathematica Tips -- Sample Notebook Solutions
Dimensions
unknown
Edition
1st ed. 1998.
Extent
1 online resource (XIII, 283 p. 50 illus.)
File format
multiple file formats
Form of item
online
Isbn
9781461216988
Level of compression
uncompressed
Media category
computer
Media type code
  • c
Other control number
10.1007/978-1-4612-1698-8
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3400000000089661
  • (SSID)ssj0000807471
  • (PQKBManifestationID)11487666
  • (PQKBTitleCode)TC0000807471
  • (PQKBWorkID)10774123
  • (PQKB)11655342
  • (DE-He213)978-1-4612-1698-8
  • (MiAaPQ)EBC3076647
  • (EXLCZ)993400000000089661
Label
Multivariable Calculus and Mathematica® : With Applications to Geometry and Physics, by Kevin R. Coombes, Ronald L. Lipsman, Jonathan M. Rosenberg, (electronic resource)
Publication
Note
Includes index
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Color
not applicable
Content category
text
Content type code
  • txt
Contents
Benefits of Mathematical Software -- What’s in This Book -- What’s Not in This Book -- How to Use This Book -- A Word About Versions of Mathematica -- Problem Set A: Review of One-Variable Calculus -- Vectors and Graphics -- Vectors -- Parametric Curves -- Graphing Surfaces -- Parametric Surfaces -- Problem Set B: Vectors and Graphics -- Geometry of Curves -- Parametric Curves -- Geometric Invariants -- Differential Geometry of Curves -- Two More Examples -- Problem Set C: Curves -- Kinematics -- Newton’s Laws of Motion -- Kepler’s Laws of Planetary Motion -- Studying Equations of Motion with Mathematica -- Problem Set D: Kinematics -- Directional Derivatives -- Visualizing Functions of Two Variables -- The Gradient of a Function of Two Variables -- Functions of Three or More Variables -- Problem Set E: Directional Derivatives and the Gradient -- Geometry of Surfaces -- The Concept of a Surface -- The Implicit Function Theorem -- Geometric Invariants -- Curvature Calculations with Mathematica -- Problem Set F: Surfaces -- Optimization in Several Variables -- The One-Variable Case -- Functions of Two Variables -- Three or More Variables -- Problem Set G: Optimization -- Multiple Integrals -- Automation and Integration -- Regions in the Plane -- Viewing Simple Regions -- Polar Regions -- Viewing Solid Regions -- A More Complicated Example -- Cylindrical Coordinates -- More General Changes of Coordinates -- Problem Set H: Multiple Integrals -- Physical Applications of Vector Calculus -- Motion in a Central Force Field -- Newtonian Gravitation -- Electricity and Magnetism -- Fluid Flow -- Problem Set I: Physical Applications -- Appendix: Energy Minimization and Laplace’s Equation -- Mathematica Tips -- Sample Notebook Solutions
Dimensions
unknown
Edition
1st ed. 1998.
Extent
1 online resource (XIII, 283 p. 50 illus.)
File format
multiple file formats
Form of item
online
Isbn
9781461216988
Level of compression
uncompressed
Media category
computer
Media type code
  • c
Other control number
10.1007/978-1-4612-1698-8
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3400000000089661
  • (SSID)ssj0000807471
  • (PQKBManifestationID)11487666
  • (PQKBTitleCode)TC0000807471
  • (PQKBWorkID)10774123
  • (PQKB)11655342
  • (DE-He213)978-1-4612-1698-8
  • (MiAaPQ)EBC3076647
  • (EXLCZ)993400000000089661

Library Locations

  • Architecture LibraryBorrow it
    Gould Hall 830 Van Vleet Oval Rm. 105, Norman, OK, 73019, US
    35.205706 -97.445050
  • Bizzell Memorial LibraryBorrow it
    401 W. Brooks St., Norman, OK, 73019, US
    35.207487 -97.447906
  • Boorstin CollectionBorrow it
    401 W. Brooks St., Norman, OK, 73019, US
    35.207487 -97.447906
  • Chinese Literature Translation ArchiveBorrow it
    401 W. Brooks St., RM 414, Norman, OK, 73019, US
    35.207487 -97.447906
  • Engineering LibraryBorrow it
    Felgar Hall 865 Asp Avenue, Rm. 222, Norman, OK, 73019, US
    35.205706 -97.445050
  • Fine Arts LibraryBorrow it
    Catlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US
    35.210371 -97.448244
  • Harry W. Bass Business History CollectionBorrow it
    401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US
    35.207487 -97.447906
  • History of Science CollectionsBorrow it
    401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US
    35.207487 -97.447906
  • John and Mary Nichols Rare Books and Special CollectionsBorrow it
    401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US
    35.207487 -97.447906
  • Library Service CenterBorrow it
    2601 Technology Place, Norman, OK, 73019, US
    35.185561 -97.398361
  • Price College Digital LibraryBorrow it
    Adams Hall 102 307 West Brooks St., Norman, OK, 73019, US
    35.210371 -97.448244
  • Western History CollectionsBorrow it
    Monnet Hall 630 Parrington Oval, Rm. 300, Norman, OK, 73019, US
    35.209584 -97.445414
Processing Feedback ...