Real Analysis: Foundations and Functions of One Variable
Miklos Laczkovich, Vera T. Sos

Informasi Umum

Kode

20.21.347

Klasifikasi

515.3 - Analysis, calculus, theory of functions-Differential calculus and equations

Jenis

Buku - Elektronik (E-Book)

Subjek

Mathematical Analysis

No. Rak

Tel-U Gedung Manterawu Lantai 5 : Rak 10b
Tel-U Purwokerto : Rak 5

Dilihat

115 kali

Informasi Lainnya

Abstraksi

Analysis forms an essential basis of mathematics as a whole, as well as of the natural sciences, and more and more of the social sciences too. The theory of analysis (differentiation and integration) was created—after Galileo’s insight—for the purposes of describing the universe in the language of mathematics. Working out the precise theory took almost 300 years, with a large portion of this time devoted to de?nitions that encapsulate the essence of limits and continuity. Mastering these concepts can be a dif?cult process; this is one of the reasons why analysis is only barely present in most high-school curricula. At the same time, in postsecondary education where mathematics is part of the program—including various branches of science and mathematics—analysis appears as a basic requirement. Our book is intended to be an introductory analysis textbook; we believe it would be useful in any areas where analysis is a part of the curriculum, in addition to the above, also in teacher education, engineering, or even some high schools. In writing this book, we used the experience we gained from our many decades of lectures at the Eotvos Lorand University, Budapest, Hungary. We have placed strong emphasis on discussing the foundations of analysis: before we begin the actual topic of analysis, we summarize all that the theory builds upon (basics of logic, sets, real numbers), even though some of these concepts might be familiar from previous studies. We believe that a strong basis is needed not only for those who wish to master higher levels of analysis, but for everyone who wants to apply it, and especially for those who wish to teach analysis at any level. The central concepts of analysis are limits, continuity, the derivative, and the integral. Our primary goal was to develop the precise concepts gradually, building on intuition and using many examples. We introduce and discuss applications of our topics as much as possible, while ensuring that understanding and mastering of this dif?cult material is advanced. This, among other reasons, is why we avoided a more abstract or general (topological or multiple variable) discussion. We would like to emphasize that the—classical, mostly more than 100 year old— results discussed here still inspire active research in different areas. Due to the nature of this book, we cannot delve into this; we only mention a small handful of unsolved problems.

Koleksi & Sirkulasi

Tersedia 1 dari total 1 Koleksi

Pengarang

Nama	Miklos Laczkovich, Vera T. Sos
Jenis	Perorangan
Penyunting
Penerjemah

Penerbit

Nama	Springer
Kota	New York
Tahun	2015

Sirkulasi

Harga sewa	IDR 0,00
Denda harian	IDR 0,00
Jenis	Non-Sirkulasi

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