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Other titles in the Dover Books on Mathematics series:
Advanced Calculus (Dover Books on Mathematics)by H. K. Nickerson
Synopses & ReviewsPublisher Comments:"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." Classroomtested 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. Synopsis:Starting with an abstract treatment of vector spaces and linear transforms, this introduction presents a corresponding theory of integration and concludes with applications to analytic functions of complex variables. 1959 edition. Synopsis:Classroomtested in a Princeton University honors course, this text offers a unified introduction to advanced calculus. Starting with an abstract treatment of vector spaces and linear transforms, the authors present a corresponding theory of integration, concluding with a series of applications to analytic functions of complex variables. 1959 edition. Table of ContentsI The Algebra of Vector Spaces II Linear Transformations of Vector Spaces III The Scalar Product IV Vector Products in R3 V Endomorphisms VI VectorValued Functions of a Scalar VII ScalarValued Functions of a Vector VIII VectorValued Functions of a Vector IX Tensor Products and the standard Algebras X Topology and Analysis XI Differential Calculus of Forms XII Integral Calculus of Forms XIII Complex Structure What Our Readers Are SayingBe the first to add a comment for a chance to win!Product Details
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