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 مكتبة كتب الرياضيات رقم 2

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NORO*ELGANG
عضو خارق
عضو خارق


ذكر عدد الرسائل : 432
العمر : 26
تاريخ التسجيل : 03/12/2008

مُساهمةموضوع: مكتبة كتب الرياضيات رقم 2   الثلاثاء ديسمبر 23, 2008 11:35 pm





Introductory Algebraic Number Theory
By Saban
Alaca,&nbspKenneth S. Williams,
* Publisher: Cambridge University
Press
* Number Of Pages: 446
* Publication Date: 2003-11-17
* ISBN /
ASIN: 0521540119
Book De******ion:

Suitable for senior undergraduates and
beginning graduate students in mathematics, this book is an introduction to
algebraic number theory at an elementary level. Prerequisites are kept to a
minimum, and numerous examples illustrating the material occur throughout the
****. References to suggested readings and to the biographies of mathematicians
who have contributed to the development of algebraic number theory are provided
at the end of each chapter. Other features include over 320 exercises, an
extensive index, and helpful ******** guides to theorems in the
****


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Algebraic Number Theory (Graduate ****s in Mathematics)
By Serge
Lang
* Publisher: Springer
* Number Of Pages: 357
* Publication Date:
2000-07-19
* ISBN / ASIN: 0387942254
Book De******ion:

This is a corrected printing of the
second edition of Lang's well-known ****book. It covers all of the basic
material of classical algebraic number theory, giving the student the background
necessary for the study of further topics in algebraic number theory, such as
cyclotomic fields, or modular forms. Part I introduces some of the basic ideas
of the theory: number fields, ideal classes, ideles and adeles, and zeta
functions. It also contains a version of a Riemann-Roch theorem in number
fields, proved by Lang in the very first version of the book in the sixties.
This version can now be seen as a precursor of Arakelov theory. Part II covers
class field theory, and Part III is devoted to analytic methods, including an
exposition of Tate's thesis, the Brauer-Siegel theorem, and Weil's explicit
formulas. The second edition contains corrections, as well as several additions
to the previous edition, and the last chapter on explicit formulas has been
rewritten


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Algebraic Number Theory (Grundlehren der mathematischen
Wissenschaften)
By Jürgen Neukirch
* Publisher: Springer
* Number Of
Pages: 571
* Publication Date: 1999-06-22
* ISBN / ASIN: 3540653996
Book De******ion:
From the review: "The present book has as
its aim to resolve a discrepancy in the ****book literature and ... to provide a
comprehensive introduction to algebraic number theory which is largely based on
the modern, unifying conception of (one-dimensional) arithmetic algebraic
geometry. ... Despite this exacting program, the book remains an introduction to
algebraic number theory for the beginner... The author discusses the classical
concepts from the viewpoint of Arakelov theory.... The treatment of class field
theory is ... particularly rich in illustrating complements, hints for further
study, and concrete examples.... The concluding chapter VII on zeta-functions
and L-series is another outstanding advantage of the present ****book.... The
book is, without any doubt, the most up-to-date, systematic, and theoretically
comprehensive ****book on algebraic number field theory available." W. Kleinert
in: Zentralblatt für Mathematik, 1992

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Mathematical Morphology and Its Applications to Image and Signal
Processing (Computational Imaging and Vision)
By: John Goutsias(Editor) Dan
S. Bloomberg(Editor) Luc M. Vincent(Editor)
ISBN: 0792378628
Publisher:
Springer - 2000-05-30
Hardcover | 1 Edition | 456 Pages | List Price: $209.00
(USD)
Mathematical morphology is a powerful methodology for the
processing and analysis of geometric structure in signals and images. This book
contains the proceedings of the fifth International Symposium on Mathematical
Morphology and its Applications to Image and Signal Processing, held June 26-28,
2000, at Xerox PARC, Palo Alto, California. It provides a broad sampling of the
most recent theoretical and practical developments of mathematical morphology
and its applications to image and signal processing. Areas covered include:
decomposition of structuring functions and morphological operators,
morphological discretization, filtering, connectivity and connected operators,
morphological shape analysis and interpolation, ****ure analysis, morphological
segmentation, morphological multiresolution techniques and scale-spaces, and
morphological algorithms and applications. Audience: The subject matter of this
volume will be of interest to electrical engineers, computer scientists, and
mathematicians whose research work is focused on the theoretical and practical
aspects of nonlinear signal and image processing. It will also be of interest to
those working in computer vision, applied mathematics, and computer
graphics


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Topics in
Finite and Discrete Mathematics
By ****don M. Ross
* Publisher: Cambridge
University Press
* Number Of Pages: 278
* Publication Date:
2000-07-31
* ISBN / ASIN: 052177571X
Book De******ion:
Written for students in mathematics,
computer science, operations research, statistics, and engineering, this ****
presents a concise lively survey of several fascinating non-calculus topics in
modern applied mathematics. ****don Ross, noted ****book author and scientist,
covers probability, mathematical finance, graphs, linear programming,
statistics, computer science algorithms, and groups. He offers an abundance of
interesting examples not normally found in standard finite mathematics courses:
options pricing and arbitrage, tournaments, and counting formulas. The chapters
assume a level of mathematical sophistication at the beginning calculus level,
that is, a course in pre-calculus

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Handbook of
Discrete and Combinatorial Mathematics
By
* Publisher: CRC
* Number Of
Pages: 1232
* Publication Date: 1999-09-28
* ISBN / ASIN: 0849301491
Book De******ion:
The importance of discrete mathematics has
increased dramatically within the last few years but until now, it has been
difficult-if not impossible-to find a single reference book that effectively
covers the subject. To fill that void, The Handbook of Discrete and
Combinatorial Mathematics presents a comprehensive collection of ready reference
material for all of the important areas of discrete mathematics, including those
essential to its applications in computer science and engineering. Its topics
includeLogic and
foundationsoCountingoNumber theoryoAbstract and linear algebraoProbabilityoGraph
theoryoNetworks and optimizationoCryptography and codingoCombinatorial
designsThe author presents the material in a simple, uniform way, and emphasizes
what is useful and practical. For easy reference, he incorporates into the
****Many
glossaries of important termsoLists of important theorems and formulasoNumerous
examples that illustrate terms and conceptsoHelpful de******ions of
algorithmsoSummary tablesoCitations of Web pages that supplement the ****If you
have ever had to find information from discrete mathematics in your work-or just
out of curiosity-you probably had to search through a variety of books to find
it. Never again. The Handbook of Discrete Mathematics is now available and has
virtually everything you need-everything important to both theory and
practice

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