"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.
Betala smidigt med kort, Klarna, Apple Pay eller Google Pay. Är du inte nöjd har du alltid 14 dagars ångerrätt. Läs mer i våra villkor. Har du några frågor, mejla oss på hello@memmo.org.
Memmo gör det enklare att plugga – var du än är i världen. Hos oss samlar du kursböcker och smarta studieverktyg på ett och samma ställe: sammanfattningar, quiz, poddar och flashcards. Och så Ted, din studiekompis som svarar på allt du undrar. Över 50 000 studenter pluggar redan här – byggt för att du ska lära dig snabbare och stressa mindre.
Du kanske också gillar
Köp boken0