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Catalogue Information
Field name	Details
Dewey Class	515.8
Title	Basic Elements of Real Analysis ([EBook] /) / by Murray H. Protter.
Author	Protter, Murray H.
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : : Springer New York, , 1998.
Physical Details	XII, 276 p. : online resource.
Series	Undergraduate texts in mathematics 0172-6056
ISBN	9780387227498
Summary Note	From the author of the highly acclaimed "A First Course in Real Analysis" comes a volume designed specifically for a short one- semester course in real analysis. Many students of mathematics and those students who intend to study any of the physical sciences and computer science need a text that presents the most important material in a brief and elementary fashion. The author has included such elementary topics as the real number system, the theory at the basis of elementary calculus, the topology of metric spaces and infinite series. There are proofs of the basic theorems on limits at a pace that is deliberate and detailed. There are illustrative examples throughout with over 45 figures.:
Contents note	The Real Number System -- Continuity and Limits -- Basic Properties of Functions on ?1 -- Elementary Theory of Differentiation -- Elementary Theory of Integration -- Elementary Theory of Metric Spaces -- Differentiation and Integration in ?N -- Infinite Series -- The Derivative of an Integral -- The Riemann-Stieltjes Integral -- The Implicit Function Theorem. Lagrange Multipliers -- Vector Functions on ?N; The Theorems of Green and stokes.
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/b98884
Links to Related Works	Subject References: Functions of real variables . Mathematics . Real Functions . Authors: Protter, Murray H. . Corporate Authors: SpringerLink (Online service) . Series: Undergraduate texts in mathematics . Classification: 515.8 .

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Basic Elements of Real Analysis

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