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The evolution of advanced calculus in undergraduate mathematics reveals a significant shift in curriculum focus over the past fifty years. Initially a core subject, it gradually gave way to real analysis as educators prioritized rigorous foundations. This led to a bifurcation in calculus courses, with one path exploring complex topics like calculus on n-manifolds and another simplifying to two- and three-dimensional calculus. However, the traditional depth of advanced calculus is often lost, particularly in addressing the complexities of several functions of several variables within limited course time.
Buchkauf
Advanced Calculus, James J. Callahan
- Sprache
- Erscheinungsdatum
- 2010
- product-detail.submit-box.info.binding
- (Hardcover)
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- Titel
- Advanced Calculus
- Untertitel
- A Geometric View
- Sprache
- Englisch
- Autor*innen
- James J. Callahan
- Erscheinungsdatum
- 2010
- Einband
- Hardcover
- Seitenzahl
- 526
- ISBN13
- 9781441973313
- Kategorie
- Mathematik
- Beschreibung
- The evolution of advanced calculus in undergraduate mathematics reveals a significant shift in curriculum focus over the past fifty years. Initially a core subject, it gradually gave way to real analysis as educators prioritized rigorous foundations. This led to a bifurcation in calculus courses, with one path exploring complex topics like calculus on n-manifolds and another simplifying to two- and three-dimensional calculus. However, the traditional depth of advanced calculus is often lost, particularly in addressing the complexities of several functions of several variables within limited course time.