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السلام عليكم ورحمة الله وبركاته

بسم الله الرحمن
الرحيم

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ونرحب بأي اضافة جديدة وشكرا
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Inside Calculus (Undergraduate ****s in Mathematics)
By George R.
Exner
* Publisher: Springer
* Number Of Pages: 211
* Publication Date:
1999-12-22
* ISBN / ASIN: 0387989323
Book De******ion:
The approach taken by this book is based on
two beliefs. The first is that almost nobody understands calculus fully the
first time around: multiple exposures are required. The second belief is that
graphing calculators can be used to make the introduction of the theory of
limits much easier for the students. This book presents the theoretical pieces
of introductory calculus, using appropriate technology, in a style suitable to
accompany almost any first calculus ****. It offers a large range of
increasingly sophisticated examples and problems to build understanding of the
notion of limit and other theoretical concepts. It is aimed at students who will
study fields in which the understanding of calculus as a tool is not sufficient.
The **** uses the "spiral approach" of teaching, returning again and again to
difficult topics, anticipating such returns across the calculus courses in
preparation for the first analysis course. The book may be used as the "*******"
**** for a transition to upper level mathematics
course


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Difference Equations and Inequalities: Theory, Methods, and
Applications (Pure and Applied Mathematics)
By Ravi P. Agarwal
*
Publisher: CRC
* Number Of Pages: 1000
* Publication Date: 2000-01-27
*
ISBN / ASIN: 0824790073
Book De******ion:
A study of difference equations and
inequalities. This second edition offers real-world examples and uses of
difference equations in probability theory, queuing and statistical problems,
stochastic time series, combinatorial analysis, number theory, geometry,
electrical networks, quanta in radiation, genetics, economics, psychology,
sociology, and other disciplines. It features 200 new problems, 400 additional
references, and a new chapter on the qualitative properties of solutions of
neutral difference equations

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Polynomials and Polynomial Inequalities
(Graduate ****s in
Mathematics)
By Peter Borwein,&nbspTamas Erdelyi,
* Publisher:
Springer
* Number Of Pages: 496
* Publication Date: 1995-09-27
* ISBN
/ ASIN: 0387945091
Book De******ion:
Polynomials pervade mathematics, virtually
every branch of mathematics from algebraic number theory and algebraic geometry
to applied analysis and computer science, has a corpus of theory arising from
polynomials. The material explored in this book primarily concerns polynomials
as they arise in analysis; it focuses on polynomials and rational functions of a
single variable. The book is self-contained and assumes at most a
senior-undergraduate familiarity with real and complex analysis.
After an
introduction to the geometry of polynomials and a discussion of refinements of
the Fundamental Theorem of Algebra, the book turns to a consideration of various
special polynomials. Chebyshev and Descartes systems are then introduced, and
Müntz systems and rational systems are examined in detail. Subsequent chapters
discuss denseness questions and the inequalities satisfied by polynomials and
rational functions. Appendices on algorithms and computational concerns, on the
interpolation theorem, and on orthogonality and irrationality conclude the
book

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Applied Probability
By Kenneth Lange
* Publisher: Springer
*
Number Of Pages: 320
* Publication Date: 2004-10-20
* ISBN / ASIN:
0387004254
Book De******ion:

This ****book on applied probability is
intended for graduate students in applied mathematics, biostatistics,
computational biology, computer science, physics, and statistics. It presupposes
knowledge of multivariate calculus, linear algebra, ordinary differential
equations, and elementary probability theory. Given these prerequisites, Applied
Probability presents a unique blend of theory and applications, with special
emphasis on mathematical modeling, computational techniques, and examples from
the biological sciences. Chapter 1 reviews elementary probability and provides a
brief survey of relevant results from measure theory. Chapter 2 is an extended
essay on calculating expectations. Chapter 3 deals with probabilistic
applications of convexity, inequalities, and optimization theory. Chapters 4 and
5 touch on combinatorics and combinatorial optimization. Chapters 6 through 11
present core material on stochastic processes. If supplemented with appropriate
sections from Chapters 1 and 2, there is sufficient material here for a
traditional semester-long course in stochastic processes covering the basics of
Poisson processes, Markov chains, branching processes, martingales, and
diffusion processes. Finally, Chapters 12 and 13 develop the Chen-Stein method
of Poisson approximation and connections between probability and number theory.
Kenneth Lange is Professor of Biomathematics and Human Genetics and Chair of the
Department of Human Genetics at the UCLA School of Medicine. He has held
appointments at the University of New Hampshire, MIT, Harvard, and the
University of Michigan. While at the University of Michigan, he was the
Pharmacia & Upjohn Foundation Professor of Biostatistics. His research
interests include human genetics, population modeling, biomedical imaging,
computational statistics, and applied stochastic processes. Springer-Verlag
published his books Numerical Analysis for Statisticians and Mathematical and
Statistical Methods for Genetic Analysis Second Edition, in 1999 and 2002,
respectively

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Problems in Algebraic Number Theory (Graduate ****s in
Mathematics)
By M. Ram Murty,&nbspJody Esmonde,
* Publisher:
Springer
* Number Of Pages: 352
* Publication Date: 2004-10-25
* ISBN /
ASIN: 0387221824

Asking how one does mathematical research is like asking how a
composer creates a masterpiece. No one really knows. However, it is a recognized
fact that problem solving plays an important role in training the mind of a
researcher. It would not be an exaggeration to say that the ability to do
mathematical research lies essentially asking "well-posed" questions. The
approach taken by the authors in Problems in Algebraic Number Theory is based on
the principle that questions focus and orient the mind. The book is a collection
of about 500 problems in algebraic number theory, systematically arranged to
reveal ideas and concepts in the evolution of the subject. While some problems
are easy and straightforward, others are more difficult. For this new edition
the authors added a chapter and revised several sections. The **** is suitable
for a first course in algebraic number theory with minimal supervision by the
instructor. The exposition facilitates independent study, and students having
taken a basic course in calculus, linear algebra, and abstract algebra will find
these problems interesting and challenging. For the same reasons, it is ideal
for non-specialists in acquiring a quick introduction to the
subject


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