عنوان

Analysis

شابک

9781402003141

شابک

9789400989399

شماره

dltt

عنوان اصلي

Analysis

نام عام مواد

[Book]

ساير اطلاعات عنواني

Part II Integration, Distributions, Holomorphic Functions, Tensor and Harmonic Analysis /

نام نخستين پديدآور

by Krzysztof Maurin.

محل نشرو پخش و غیره

Dordrecht :

نام ناشر، پخش کننده و غيره

Springer Netherlands,

تاریخ نشرو بخش و غیره

1980.

عنوان فروست

Analysis, Part II: Integration, Distributions, Holomorphic Functions, Tensor and Harmonic Analysis ;

مشخصه جلد

2

متن يادداشت

XII. Topology. Uniform Structures. Function Spaces -- XIII. Theory of the Integral -- XIV. Tensor Analysis. Harmonic Forms. Cohomology. Applications to Electrodynamics -- XV. Elementary Properties of Holomorphic Functions of Several Variables. Harmonic Functions -- XVI. Complex Analysis in One Dimension (Riemann Surfaces -- XVII. Normal and Paracompact Spaces. Partition of Unity. -- XVIII. Measurable Mappings. The Transport of a Measure. Convolutions of Measures and Functions -- XIX. The Theory of Distributions. Harmonic Analysis -- Index of Symbols -- Name Index.

بدون عنوان

0

متن يادداشت

The extraordinarily rapid advances made in mathematics since World War II have resulted in analysis becoming an enormous organism spread ing in all directions. Gone for good surely are the days of the great French "courses of analysis" which embodied the whole of the "ana lytical" knowledge of the times in three volumes-as the classical work of Camille Jordan. Perhaps that is why present-day textbooks of anal ysis are disproportionately modest relative to the present state of the art. More: they have "retreated" to the state before Jordan and Goursat. In recent years the scene has been changing rapidly: Jean Dieudon ne is offering us his monumentel Elements d'Analyse (10 volumes) written in the spirit of the great French Course d'Analyse. To the best of my knowledge, the present book is the only one of its size: starting from scratch-from rational numbers, to be precise-it goes on to the theory of distributions, direct integrals, analysis on com plex manifolds, Kahler manifolds, the theory of sheaves and vector bun dles, etc. My objective has been to show the young reader the beauty and wealth of the unsual world of modern mathematical analysis and to show that it has its roots in the great mathematics of the 19th century and mathematical physics. I do know that the young mind eagerly drinks in beautiful and difficult things, rejoicing in the fact that the world is great and teeming with adventure.

شماره استاندارد بين المللي کتاب و موسيقي

9781402003141

عنوان

Springer eBooks

موضوع مستند نشده

Global analysis (Mathematics).

موضوع مستند نشده

Mathematics.

مستند نام اشخاص تاييد نشده

Maurin, Krzysztof.

مستند نام تنالگان تاييد نشده

SpringerLink (Online service)

تاريخ عمليات

20190301073900.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y