03512nam a22004455i 4500 978-0-387-98098-0 DE-He213 20260521092023.0 cr nn 008mamaa 100301s2010 xxu| s |||| 0|eng d 9780387980980 99780387980980 10.1007/978-0-387-98098-0 doi 515 23 Davidson, Kenneth R. author. Real Analysis and Applications [electronic resource] : Theory in Practice / by Kenneth R. Davidson, Allan P. Donsig. New York, NY : Springer New York, 2010. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Undergraduate Texts in Mathematics, 0172-6056 Analysis -- Review -- The Real Numbers -- Series -- Topology of -- Functions -- Differentiation and Integration -- Norms and Inner Products -- Limits of Functions -- Metric Spaces -- Applications -- Approximation by Polynomials -- Discrete Dynamical Systems -- Differential Equations -- Fourier Series and Physics -- Fourier Series and Approximation -- Wavelets -- Convexity and Optimization. This new approach to real analysis stresses the use of the subject in applications, showing how the principles and theory of real analysis can be applied in various settings. Applications cover approximation by polynomials, discrete dynamical systems, differential equations, Fourier series and physics, Fourier series and approximation, wavelets, and convexity and optimization. Each chapter has many useful exercises. The treatment of the basic theory covers the real numbers, functions, and calculus, while emphasizing the role of normed vector spaces, and particularly of Rn. The applied chapters are mostly independent, giving the reader a choice of topics. This book is appropriate for students with a prior knowledge of both calculus and linear algebra who want a careful development of both analysis and its use in applications. Review of the previous version of this book, Real Analysis with Real Applications: "A well balanced book! The first solid analysis course, with proofs, is central in the offerings of any math.-dept.; ---and yet, the new books that hit the market don't always hit the mark: the balance between theory and applications, ---between technical proofs and intuitive ideas, ---between classical and modern subjects, and between real life exercises vs. the ones that drill a new concept. The Davidson-Donsig book is outstanding, and it does hit the mark." Palle E. T. Jorgenson, Review from Amazon.com Kenneth R. Davidson is University Professor of Mathematics at the University of Waterloo. Allan P. Donsig is Associate Professor of Mathematics at the University of Nebraska-Lincoln. MATHEMATICS. GLOBAL ANALYSIS (MATHEMATICS). MATHEMATICS. ANALYSIS. APPLICATIONS OF MATHEMATICS. Donsig, Allan P. author. SpringerLink (Online service) Springer eBooks Printed edition: 9780387980973 Undergraduate Texts in Mathematics, 0172-6056 http://dx.doi.org/10.1007/978-0-387-98098-0 Ver el texto completo en las instalaciones del CICY ZDB-2-SMA ddc ER 35511 35511 0 0 ddc 0 0 LE CICY CICY EL 2025-10-06 0 515 2025-10-06 08:44:33 2025-10-06 ER