LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	515.45
Title	From Calculus to Analysis ([EBook]) / by Steen Pedersen.
Author	Pedersen, Steen
Other name(s)	SpringerLink (Online service)
Publication	Cham : : Springer International Publishing : : Imprint: Springer, , 2015.
Physical Details	XIX, 342 p. 48 illus., 14 illus. in color. : online resource.
ISBN	9783319136417
Summary Note	This textbook features applications including a proof of the Fundamental Theorem of Algebra, space filling curves, and the theory of irrational numbers. In addition to the standard results of advanced calculus, the book contains several interesting applications of these results. The text is intended to form a bridge between calculus and analysis. It is based on the authors lecture notes used and revised nearly every year over the last decade. The book contains numerous illustrations and cross references throughout, as well as exercises with solutions at the end of each section.:
Contents note	Part I -- Limits -- Introduction to Continuity -- Sets of Real Numbers -- Counting -- Continuity -- Derivatives and their Applications -- The Riemann Integral -- The Logarithm and the Exponential Function -- Part II -- Convergence of Sequences -- Series -- Trigonometric Functions and Applications -- Fourier Series -- Topology -- Appendices.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-3-319-13641-7
Links to Related Works	Subject References: Algebra . Analysis . Analysis (Mathematics) . Integral Equations . Mathematical analysis . Mathematics . Authors: Pedersen, Steen . Corporate Authors: SpringerLink (Online service) . Classification: 515.45 .

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From Calculus to Analysis

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