عنوان
پدید آورنده
موضوع
رده
QA300 .H45 2019
QA300
.
H45
2019
کتابخانه
محل استقرار
شابک
شابک
3030269035
شابک
9783030269036
شابک اشتباه
3030269019
شابک اشتباه
9783030269012
عنوان و نام پديدآور
عنوان اصلي
Introduction to real analysis /
نام عام مواد
[Book]
نام نخستين پديدآور
Christopher Heil.
وضعیت نشر و پخش و غیره
محل نشرو پخش و غیره
Cham, Switzerland :
نام ناشر، پخش کننده و غيره
Springer,
تاریخ نشرو بخش و غیره
[2019]
مشخصات ظاهری
نام خاص و کميت اثر
1 online resource
فروست
عنوان فروست
Graduate texts in mathematics ;
مشخصه جلد
280
یادداشتهای مربوط به کتابنامه ، واژه نامه و نمایه های داخل اثر
متن يادداشت
Includes bibliographical references and index.
یادداشتهای مربوط به مندرجات
متن يادداشت
Preliminaries -- 1. Metric and Normed Spaces -- 2. Lebesgue Measure -- 3. Measurable Functions -- 4. The Lebesgue Integral -- 5. Differentiation -- 6. Absolute Continuity and the Fundamental Theorem of Calculus -- 7. The Lp Spaces -- 8. Hilbert Spaces and L^2(E) -- 9. Convolution and the Fourier Transform.
بدون عنوان
0
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
Developed over years of classroom use, this textbook provides a clear and accessible approach to real analysis. This modern interpretation is based on the authors 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.
ویراست دیگر از اثر در قالب دیگر رسانه
عنوان
Introduction to real analysis.
شماره استاندارد بين المللي کتاب و موسيقي
9783030269012
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Mathematical analysis.
موضوع مستند نشده
Mathematical analysis.
رده بندی ديویی
شماره
515
ويراست
23
رده بندی کنگره
شماره رده
QA300
نشانه اثر
.
H45
2019
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )
مستند نام اشخاص تاييد نشده
Heil, Christopher,1960-
مبدا اصلی
تاريخ عمليات
20200823093642.0
قواعد فهرست نويسي ( بخش توصيفي )
pn
دسترسی و محل الکترونیکی
نام الکترونيکي
مطالعه متن کتاب اطلاعات رکورد کتابشناسی
نوع ماده
[Book]
اطلاعات دسترسی رکورد
تكميل شده
Y
