یادداشتهای مربوط به کتابنامه ، واژه نامه و نمایه های داخل اثر
متن يادداشت
Bibliography
متن يادداشت
Index
یادداشتهای مربوط به مندرجات
متن يادداشت
1. Sets and proofs -- 2. Numbers -- 3. Convergence -- 4. Point set theory -- 5. Continuity -- 6. Space C(E,E') -- 7. Differentiation -- 8. Bounded variation -- 9. Riemann integration -- 10. Generalizations of Riemann integration -- 11. Transcendental functions -- 12. Fourier series and integrals.
بدون عنوان
0
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
The author's goal is a rigorous presentation of the fundamentals of analysis, starting from elementary level and moving to the advanced coursework. The curriculum of all mathematics (pure or applied) and physics programs include a compulsory course in mathematical analysis. This book will serve as can serve a main textbook of such (one semester) courses. The book can also serve as additional reading for such courses as real analysis, functional analysis, harmonic analysis etc. For non-math major students requiring math beyond calculus, this is a more friendly approach than many math-centric options. Friendly and well-rounded presentation of pre-analysis topics such as sets, proof techniques and systems of numbers. Deeper discussion of the basic concept of convergence for the system of real numbers, pointing out its specific features, and for metric spaces. Presentation of Riemann integration and its place in the whole integration theory for single variable, including the Kurzweil-Henstock integration.Elements of multiplicative calculus aiming to demonstrate the non-absoluteness of Newtonian calculus.--
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Mathematical analysis.
موضوع مستند نشده
Analysis.
موضوع مستند نشده
آنالیز ریاضی
موضوع مستند نشده
آنالیز
رده بندی ديویی
شماره
515
ويراست
23
رده بندی کنگره
شماره رده
QA300
نشانه اثر
.
B29I6
2014
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )