/ Matthew A. Pons with illustrations by Robert F. Allen
مشخصات ظاهری
نام خاص و کميت اثر
xviii, 409 pages , illustrations , 24 cm
یادداشتهای مربوط به نشر، بخش و غیره
متن يادداشت
Electronic
یادداشتهای مربوط به کتابنامه ، واژه نامه و نمایه های داخل اثر
متن يادداشت
Includes bibliographical references and index.
یادداشتهای مربوط به مندرجات
متن يادداشت
This undergraduate textbook introduces students to the basics of real analysis, provides an introduction to more advanced topics including measure theory and Lebesgue integration, and offers an invitation to functional analysis. While these advanced topics are not typically encountered until graduate study, the text is designed for the beginner. The author's engaging style makes advanced topics approachable without sacrificing rigor. The text also consistently encourages the reader to pick up a pencil and take an active part in the learning process. Key features include: examples to reinforce theory; thorough explanations preceding definitions, theorems and formal proofs; illustrations to support intuition; over 450 exercises designed to develop connections between the concrete and abstract. This text takes students on a journey through the basics of real analysis and provides those who wish to delve deeper the opportunity to experience mathematical ideas that are beyond the standard undergraduate curriculum.
متن يادداشت
1. The real numbers -- 2. Sequences in R -- 3. Numerical series -- 4. Continuity -- 5. The derivative -- 6. Sequences and series of functions -- 7. The Riemann integral -- 8. Lebesgue measure on R -- 9. Lebesgue integration.
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Global analysis (Mathematics)
موضوع مستند نشده
Functional analysis
موضوع مستند نشده
Mathematics
رده بندی کنگره
شماره رده
E-BOOK
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )