Introduction to Real Analysis (Graduate Texts in Mathematics Book 280) by Christopher Heil (PDF)

Description

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.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This book is amazing. In terms of the level it lies somewhere in between Rudin’s principles and Rudin’s real and complex analysis. However, despite being a graduate level real analysis text, assuming that you did well in your undergraduate analysis classes, it’s actually easier to read and understand than many undergraduate level analysis texts. So if you want to learn Lebesgue integration (with an abstract flavor) and differentiation and the basics of L^p spaces and Hilbert spaces with a LOT less suffering than other books but without any sacrifice of rigor, this is the book for you. The problems are still fairly difficult but that’s simply part of learning graduate level math.

Keywords

Free Download Introduction to Real Analysis (Graduate Texts in Mathematics Book 280) in PDF format
Introduction to Real Analysis (Graduate Texts in Mathematics Book 280) PDF Free Download
Download Introduction to Real Analysis (Graduate Texts in Mathematics Book 280) 2019 PDF Free
Introduction to Real Analysis (Graduate Texts in Mathematics Book 280) 2019 PDF Free Download
Download Introduction to Real Analysis (Graduate Texts in Mathematics Book 280) PDF
Free Download Ebook Introduction to Real Analysis (Graduate Texts in Mathematics Book 280)