عنوان

A course in mathematical analysis

شابک

9781107032033 (hardback)

کد کشور

IR

شماره

41237

زبان متن نوشتاري يا گفتاري و مانند آن

انگلیسی

کشور محل نشر

IR

عنوان اصلي

A course in mathematical analysis

نام عام مواد

[Book]

نام نخستين پديدآور

/ D. J. H. Garling

محل نشرو پخش و غیره

Cambridge

نام ناشر، پخش کننده و غيره

: Cambridge university press

تاریخ نشرو بخش و غیره

, 2013.

نام خاص و کميت اثر

volumes ; 26 cm

متن يادداشت

Language: انگلیسی

متن يادداشت

Print

متن يادداشت

Includes bibliographical references and index.

متن يادداشت

"The three volumes of A Course in Mathematical Analysis provide a full and detailed account of all those elements of real and complex analysis that an undergraduate mathematics student can expect to encounter in their first two or three years of study. Containing hundreds of exercises, examples and applications, these books will become an invaluable resource for both students and teachers. Volume I focuses on the analysis of real-valued functions of a real variable. This second volume goes on to consider metric and topological spaces. Topics such as completeness, compactness and connectedness are developed, with emphasis on their applications to analysis. This leads to the theory of functions of several variables: differentiation is developed in a co-ordinate free way, while integration (the Riemann integral) is established for functions defined on subsets of Euclidean space. Differential manifolds in Euclidean space are introduced in a final chapter, which includes an account of Lagrange multipliers and a detailed proof of the divergence theorem. Volume III covers complex analysis and the theory of measure and integration. "--Provided by publisher. v. 2. Metric and topological spaces, functions of a vector variable Machine generated contents note: Introduction; Part I. Metric and Topological Spaces: 1. Metric spaces and normed spaces; 2. Convergence, continuity and topology; 3. Topological spaces; 4. Completeness; 5. Compactness; 6. Connectedness; Part II. Functions of a Vector Variable: 7. Differentiating functions of a vector variable; 8. Integrating functions of several variables; 9. Differential manifolds in Euclidean space; Appendix A. Linear algebra; Appendix B. Quaternions; Appendix C. Tychonoff's theorem; Index.

عنصر شناسه ای

Metric spaces

عنصر شناسه ای

Topological spaces

عنصر شناسه ای

Vector valued functions

عنصر شناسه ای

MATHEMATICS / Mathematical Analysis.--bisacsh

شماره

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Garling, D. J. H

کشور

ایران

شماره بازیابی

QA611.28 .G37 2013

وضعیت فهرست نویسی

old catalog

فرمت انتشار

p

نوع ماده

BL

پیشوند ISBD اعمال شده است

1

سطح دسترسي

a

تكميل شده

Y