"This book is a radical departure from all previous concepts of advanced calculus," declared the Bulletin of the American Mathematics Society, "and the nature of this departure merits serious study of the book by everyone interested in undergraduate education in mathematics." Classroom-tested in a Princeton University honors course, it offers students a unified introduction to advanced calculus.
Starting with an abstract treatment of vector spaces and linear transforms, the authors introduce a single basic derivative in an invariant form. All other derivatives — gradient, divergent, curl, and exterior — are obtained from it by specialization. The corresponding theory of integration is likewise unified, and the various multiple integral theorems of advanced calculus appear as special cases of a general Stokes formula. The text concludes by applying these concepts to analytic functions of complex variables.
Starting with an abstract treatment of vector spaces and linear transforms, the authors introduce a single basic derivative in an invariant form. All other derivatives — gradient, divergent, curl, and exterior — are obtained from it by specialization. The corresponding theory of integration is likewise unified, and the various multiple integral theorems of advanced calculus appear as special cases of a general Stokes formula. The text concludes by applying these concepts to analytic functions of complex variables.
Zahle einfach mit Karte, Klarna, Apple Pay oder Google Pay. Nicht zufrieden? Du hast immer ein 14-tägiges Widerrufsrecht. Lies mehr in unseren AGB. Hast du Fragen, schreib uns eine E-Mail an hello@memmo.org.
Memmo macht das Lernen einfacher – wo auch immer du bist. Bei uns findest du deine Kursbücher und smarte Lerntools an einem Ort: Zusammenfassungen, Quizzes, Podcasts und Lernkarten. Und Ted, dein Lernbuddy, beantwortet alles, was du wissen möchtest. Über 50.000 Studierende lernen bereits hier – gemacht, damit du schneller lernst und weniger Stress hast.
Das könnte dir auch gefallen
Buch kaufen0