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You searched IISERK - Author: Heil, Christopher.
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Call Number
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515.8 HEQ9
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Author
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Heil, Christopher, 1960- author.
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Title
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Introduction to real analysis / Christopher Heil.
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Material Info.
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xvii, 400 pages : illustrations ; 24 cm.
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Series
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Graduate texts in mathematics ; 280
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Series
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Graduate texts in mathematics ; 280.
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Summary Note
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"Developed over years of classroom use, this textbook provides a clear and accessible approach to real analysis. This modern interpretation is based on the author's lecture notes and has been meticulously tailored to motivate students and inspire readers to explore the material, and to continue exploring even after they have finished the book. The definitions, theorems, and proofs contained within are presented with mathematical rigor, but conveyed in an accessible manner and with language and motivation meant for students who have not taken a previous course on this subject. The text covers all of the topics essential for an introductory course, including Lebesgue measure, measurable functions, Lebesgue integrals, differentiation, absolute continuity, Banach and Hilbert spaces, and more. Throughout each chapter, challenging exercises are presented, and the end of each section includes additional problems. Such an inclusive approach creates an abundance of opportunities for readers to develop their understanding, and aids instructors as they plan their coursework. Additional resources are available online, including expanded chapters, enrichment exercises, a detailed course outline, and much more. Introduction to Real Analysis is intended for first-year graduate students taking a first course in real analysis, as well as for instructors seeking detailed lecture material with structure and accessibility in mind. Additionally, its content is appropriate for Ph.D. students in any scientific or engineering discipline who have taken a standard upper-level undergraduate real analysis course."--Provided by publisher.
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Notes
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Includes bibliographical references (pages 393-394) and indexes.
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Notes
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Metric and Normed Spaces -- Lebesgue Measure -- Measurable Functions -- The Lebesgue Integral -- Differentiation -- Absolute Continuity and the Fundamental Theorem of Calculus -- The Lp Spaces -- Hilbert Spaces and Lp2s(E) -- Convolution and the Fourier Transform.
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ISBN
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9783030269012
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ISBN
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3030269019
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Subject
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Mathematical analysis.
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Subject
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Mathematical analysis.
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Date
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Year, Month, Day:02212061
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| Purchase Order Status |
| PO ID |
Line Number |
Destination |
Order Quantity |
Received Quantity |
Latest Order Modification Date |
Last Received Date |
| 289 |
110 |
The Librarian |
1 |
1 |
4-12-2017 15:27 |
11-15-2022 10:56 |
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