Introduction to Real Analysis

Christopher Heil

jul 2019 · Graduate Texts in Mathematics Boek 280 · Springer

E-boek

386

Pagina's

Beoordelingen en reviews worden niet geverifieerd. Meer informatie

Over dit e-boek

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.

Over de auteur

Christopher Heil is Professor of Mathematics at the Georgia Institute of Technology in Atlanta, Georgia. His research interests include harmonic analysis, time-frequency analysis, image processing, and more.

Dit e-boek beoordelen

Geef ons je mening.

Informatie over lezen

Smartphones en tablets

Installeer de Google Play Boeken-app voor Android en iPad/iPhone. De app wordt automatisch gesynchroniseerd met je account en met de app kun je online of offline lezen, waar je ook bent.

Laptops en computers

Via de webbrowser van je computer kun je luisteren naar audioboeken die je hebt gekocht op Google Play.

eReaders en andere apparaten

Als je wilt lezen op e-ink-apparaten zoals e-readers van Kobo, moet je een bestand downloaden en overzetten naar je apparaat. Volg de gedetailleerde instructies in het Helpcentrum om de bestanden over te zetten op ondersteunde e-readers.

Illegale content melden