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008 150903s2012 xxu| o |||| 0|eng d
020 _a9780817682927
_99780817682927
024 7 _a10.1007/9780817682927
_2doi
035 _avtls000333729
039 9 _a201509030217
_bVLOAD
_c201404130522
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040 _aMX-SnUAN
_bspa
_cMX-SnUAN
_erda
050 4 _aQA299.6-433
100 1 _aPonnusamy, S.
_eautor
_9305495
245 1 0 _aFoundations of Mathematical Analysis /
_cby S. Ponnusamy.
250 _a1.
264 1 _aBoston, MA :
_bBirkhäuser Boston :
_bImprint: Birkhäuser,
_c2012.
300 _axv, 570 páginas 205 ilustraciones
_brecurso en línea.
336 _atexto
_btxt
_2rdacontent
337 _acomputadora
_bc
_2rdamedia
338 _arecurso en línea
_bcr
_2rdacarrier
347 _aarchivo de texto
_bPDF
_2rda
500 _aSpringer eBooks
505 0 _aReal Number System -- Sequences: Convergence and Divergence -- Limits, Continuity, and Differentiability -- Applications of Differentiability -- Series: Convergence and Divergence -- Definite and Indefinite Integrals -- Improper Integrals and Applications of Riemann Integrals -- Power Series -- Uniform Convergence of Sequences of Functions -- Fourier Series and Applications -- Functions of Bounded Variation and Riemann-Stieltjes Integrals -- References -- Index of Special Notations -- Hints for Selected Questions and Exercises -- Index.
520 _aMathematical analysis is fundamental to the undergraduate curriculum not only because it is the stepping stone for the study of advanced analysis, but also because of its applications to other branches of mathematics, physics, and engineering at both the undergraduate and graduate levels. This self-contained textbook consists of eleven chapters, which are further divided into sections and subsections. Each section includes a careful selection of special topics covered that will serve to illustrate the scope and power of various methods in real analysis. The exposition is developed with thorough explanations, motivating examples, and illustrations conveying geometric intuition in a pleasant and informal style to help readers grasp difficult concepts. Key features include: * “Questions and Exercises” are provided at the end of each section, covering a broad spectrum of content with various levels of difficulty; * Some of the exercises are routine in nature while others are interesting, instructive, and challenging with hints provided for selected exercises; * Covers a broad spectrum of content with a range of difficulty that will enable students to learn techniques and standard analysis tools; * Introduces convergence, continuity, differentiability, the Riemann integral, power series, uniform convergence of sequences and series of functions, among other topics; * Examines various important applications throughout the book; * Figures throughout the book to demonstrate ideas and concepts are drawn using Mathematica. Foundations of Mathematical Analysis is intended for undergraduate students and beginning graduate students interested in a fundamental introduction to the subject. It may be used in the classroom or as a self-study guide without any required prerequisites.
590 _aPara consulta fuera de la UANL se requiere clave de acceso remoto.
710 2 _aSpringerLink (Servicio en línea)
_9299170
776 0 8 _iEdición impresa:
_z9780817682910
856 4 0 _uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-0-8176-8292-7
_zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
942 _c14
999 _c281850
_d281850