مكتبة كتب الرياضيات رقم 4

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Geometry
of Differential Forms (Translations of Mathematical Monographs, Vol. 201)
(Translations of Mathematical Monographs)
By Shigeyuki Morita
* Publisher:
American Mathematical Society
* Number Of Pages: 321
* Publication Date:
2001-09
* ISBN / ASIN: 0821810456
Book De******ion:
Since the times of Gauss, Riemann, and
Poincaré, one of the principal goals of the study of manifolds has been to
relate local analytic properties of a manifold with its global topological
properties. Among the high points on this route are the Gauss-Bonnet formula,
the de Rham complex, and the Hodge theorem; these results show, in particular,
that the central tool in reaching the main goal of global analysis is the theory
of differential forms.

The book by Morita is a comprehensive introduction
to differential forms. It begins with a quick introduction to the notion of
differentiable manifolds and then develops basic properties of differential
forms as well as fundamental results concerning them, such as the de Rham and
Frobenius theorems. The second half of the book is devoted to more advanced
material, including Laplacians and harmonic forms on manifolds, the concepts of
vector bundles and fiber bundles, and the theory of characteristic classes.
Among the less traditional topics treated is a detailed de******ion of the
Chern-Weil theory.

The book can serve as a ****book for undergraduate
students and
for graduate students in geometry

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gigapedia.org
Size: 5.55 MB

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Complex
Variables with Applications
By S. Ponnusamy,&nbspHerb Silverman,
*
Publisher: Birkhäuser Boston
* Number Of Pages: 513
* Publication Date:
2006-09-13
* ISBN / ASIN: 0817644571
Book De******ion:
Complex numbers can be viewed in several
ways: as an element in a field, as a point in the plane, and as a
two-dimensional vector. Examined properly, each perspective provides crucial
insight into the interrelations between the complex number system and its
parent, the real number system. The authors explore these relationships by
adopting both generalization and specialization methods to move from real
variables to complex variables, and vice versa, while simultaneously examining
their analytic and geometric characteristics, using geometry to illustrate
analytic concepts and employing analysis to unravel geometric
notions.

The engaging exposition is replete with discussions, remarks,
questions, and exercises, motivating not only understanding on the part of the
reader, but also developing the tools needed to think critically about
mathematical problems. This focus involves a careful examination of the methods
and assumptions underlying various alternative routes that lead to the same
destination.

The material includes numerous examples and applications
relevant to engineering students, along with some techniques to evaluate various
types of integrals. The book may serve as a **** for an undergraduate course in
complex variables designed for scientists and engineers or for mathematics
majors interested in further pursuing the general theory of complex analysis.
The only prerequistite is a basic knowledge of advanced calculus. The
presentation is also ideally suited for self-study

http://mihd.net/i69c3p
http://www.sendspace.com/file/lr1v5w
http://rapidshare.com/files/40449411/CVwA1e.rar.html
513
pages | PDF | 3.94 MB
links by : shwan

مكتبة كتب الرياضيات رقم 4 0072899050.01._SCLZZZZZZZ_

Discrete
Mathematics and its Applications
By Kenneth H.
Rosen,&nbspWcb,&nbspMcGraw-Hill,
* Publisher: McGraw-Hill
Science/Engineering/Math
* Number Of Pages: 824
* Publication Date:
1998-12-11
* ISBN / ASIN: 0072899050

Book De******ion:
This **** is designed for the
sophomore/junior level introduction to discrete mathematics taken by students
preparing for future coursework in areas such as math, computer science and
engineering. Rosen has become a bestseller largely due to how effectively it
addresses the main portion of the discrete market, which is typically
characterized as the mid to upper level in rigor. The strength of Rosen's
approach has been the effective balance of theory with relevant applications, as
well as the overall comprehensive nature of the topic coverage

http://mihd.net/mu6r29
http://rapidshare.com/files/26434273...plications.rar

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Introductory
Functional Analysis With Applications
By Erwin
Kreyszig

مكتبة كتب الرياضيات رقم 4 0471504599.01.LZZZZZZZ

*
Publisher: John Wiley & Sons
* Number Of Pages: 688
* Publication
Date: 1978-06
* ISBN / ASIN: 0471507318
Book De******ion:
Provides avenues for applying functional
analysis to the practical study of natural sciences as well as mathematics.
Contains worked problems on Hilbert space theory and on Banach spaces and
emphasizes concepts, principles, methods and major applications of functional
analysis

http://rapidshare.com/files/40175698...471507318.djvu
or
http://rapidshare.com/files/40135098/kreyszig.part1.rar
http://rapidshare.com/files/40135461/kreyszig.part2.rar

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