Advanced Calculus of a Single Variable
Springer International Publishing (Verlag)
978-3-319-27806-3 (ISBN)
Success in this course is expected to prepare students for more advanced courses in real and complex analysis and this book willhelp to accomplish this. The first semester of advanced calculus can be followed by a rigorous course in multivariable calculus and an introductory real analysis course that treats the Lebesgue integral and metric spaces, with special emphasis on Banach and Hilbert spaces.
Tunc Geveci is Professor Emeritus in the Department of Mathematics & Statistics at San Diego State University. His main publications have been in the fields of partial differential equations, numerical analysis, and the calculus of variations and optimal control.
Preface.- Real Numbers, Sequences and Limits.- Limits and Continuity of Functions.- The Derivative.- The Riemann Integral.- Infinite Series.- Sequences and Series of Functions. Index.
"This is a textbook for a single variable advanced calculus course ... . This is a very traditional text on single variable advanced calculus, very readable. If I were teaching such a course this is a text to which I would give serious consideration." (G. A. Heuer, Mathematical Reviews, October, 2016)
"This volume is devoted to a thorough discussion of some basic concepts and theorems related to a beginning calculus course. ... The presentation is thorough and clear with many comments on the historical context of the problems and concepts. Requiring only basic knowledge of elementary calculus, this book presents the necessary material for students and professionals in various mathematics-related fields, such as engineering, statistics, and computer science, to explore real analysis." (Teodora-Liliana Radulescu, zbMATH 1339.26001, 2016)
Erscheinungsdatum | 11.04.2016 |
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Zusatzinfo | XII, 382 p. 88 illus., 77 illus. in color. |
Verlagsort | Cham |
Sprache | englisch |
Maße | 155 x 235 mm |
Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
Schlagworte | Advanced Calculus • Banach spaces • Cauchy Sequence • Functional Analysis • Hilbert spaces • Integral Transforms, Operational Calculus • mathematics and statistics • Riemann integral • Single Variable |
ISBN-10 | 3-319-27806-1 / 3319278061 |
ISBN-13 | 978-3-319-27806-3 / 9783319278063 |
Zustand | Neuware |
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