Vector and geometric calculus

Vector and geometric calculus

by Macdonald, Alan

Type Book
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This textbook for the undergraduate vector calculus course presents a unified treatment of vector and geometric calculus. It is a sequel to the text Linear and Geometric Algebra by the same author. That text is a prerequisite for this one. Linear algebra and vector calculus have provided the basic vocabulary of mathematics in dimensions greater than one for the past one hundred years. Just as geometric algebra generalizes linear algebra in powerful ways, geometric calculus generalizes vector ca…

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Title Statements

  • Full title :Vector and geometric calculus / Alan Macdonald.

Summary

This textbook for the undergraduate vector calculus course presents a unified treatment of vector and geometric calculus. It is a sequel to the text Linear and Geometric Algebra by the same author. That text is a prerequisite for this one. Linear algebra and vector calculus have provided the basic vocabulary of mathematics in dimensions greater than one for the past one hundred years. Just as geometric algebra generalizes linear algebra in powerful ways, geometric calculus generalizes vector calculus in powerful ways. Traditional vector calculus topics are covered, as they must be, since readers will encounter them in other texts and out in the world. Differential geometry is used today in many disciplines. A final chapter is devoted to it. The book can be used for self study by those comfortable with the theorem/proof style of a mathematics text.

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Edition Statements

  • Publication Date:2016,
  • Edition:4th printing, corrected and slightly revised

Publication Statements

  • Publisher(s):Alan Macdonald
  • Place of Publication:Charleston, SC
  • Language:eng
  • Publication Date:2016,

Notes

Includes index.

The Physical Object

  • Description:xii, 194 pages : : illustrations ; : 25 cm

Edition Identifiers

  • ISBN:9781480132450, 1480132454
  • oclc:ocn968334339
  • LC Classification:QA303.5.V43

Subjects

Calcul différentiel -- Problèmes et exe… Calcul infinitésimal -- Problèmes et ex… Calcul intégral -- Problèmes et exercic… Calculus Calculus -- Problems, exercises, etc Calculus, Integral Calculus, Integral -- Problems, exercis… Derivatives (Mathematics) Derivatives (Mathematics) -- Problems, … Dérivées (Mathématiques) -- Problèmes e… Differential calculus Differential calculus -- Problems, exer… exercise books Géométrie différentielle -- Problèmes e… Geometry, Differential Geometry, Differential -- Problems, exe… Problèmes et exercices Problems and exercises

Writers

Macdonald, Alan

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