كتب رياضيات mathmatic

Steffen Jørgensen , Marc Quincampoix , Thomas L. Vincent, "Advances in Dynamic Game Theory:
Numerical Methods, Algorithms, and Applications to Ecology and Economics"
Birkhäuser Boston | 2007-02 | ISBN:0817643990 | 736 pages | PDF | 13,5 Mb

Francois Treves, "Topological Vector Spaces, Distributions and Kernels"
Dover Publications (December 15, 2006) | ISBN: 0486453529 | 592 pages | Djvu | 7,5 Mb

Introduction to Plane Algebraic Curves
Publisher:Birkhäuser Boston | 2005-08-15 | ISBN:0817643818 | Pages:293 | PDF | 2.5 MB


Book Description:

This work treats an introduction to commutative ring theory and algebraic plane curves, requiring of the student only a basic knowledge of algebra, with all of the algebraic facts collected into several appendices that can be easily referred to, as needed.

Kunz's proven conception of teaching topics in commutative algebra together with their applications to algebraic geometry makes this book significantly different from others on plane algebraic curves. The exposition focuses on the purely algebraic aspects of plane curve theory, leaving the topological and analytical viewpoints in the background, with only casual references to these subjects and suggestions for further reading.

Joel Spencer, "The Strange Logic of Random Graphs"
Springer; 1 edition (August 9, 2001) | ISBN:3540416544 | 178 pages | Djvu | 3,3 Mb


The study of random graphs was begun by Paul Erdos and Alfred Renyi in the 1960s and now has a comprehensive literature. A compelling element has been the threshold function, a short range in which events rapidly move from almost certainly false to almost certainly true. This book now joins the study of random graphs (and other random discrete objects) with mathematical logic. The possible threshold phenomena are studied for all statements expressible in a given language. Often there is a zero-one law, that every statement holds with probability near zero or near one. The methodologies involve probability, discrete structures and logic, with an emphasis on discrete structures.
The book will be of interest to graduate students and researchers in discrete mathematics.

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J. Madore, "An Introduction to Noncommutative Differential Geometry and its Physical Applications"
Cambridge University Press; 2 edition (February 1, 1999) | ISBN:0521659914 | 378 pages | Djvu | 3,7 Mb


Review
"...the author has done a good job of opening the way to understanding a difficult theory...worth a look." MAA Online

"...this book provides an excellent pedagogical introduction to noncommutative geometry for mathematicians as well as physicists. The great number of examples together with the comprehensive references at the end of each chapter lead the reader directly to a large variety of results of recent research." Mathematical Reviews

Book Description
This is an introduction to noncommutative geometry, with special emphasis on those cases where the structure algebra, which defines the geometry, is an algebra of matrices over the complex numbers. Applications to elementary particle physics are also discussed. This second edition is thoroughly revised and includes new material on reality conditions and linear connections plus examples from Jordanian deformations and quantum Euclidean spaces. Only some familiarity with ordinary differential geometry and the theory of fiber bundles is assumed, making this book accessible to graduate students and newcomers to this field.

Mathematical and Computational Models for Congestion Charging
Publisher: Springer | 2006-01-27 | ISBN 0387296441 | Pages: 240 | DJVU | 1 MB

Although transportation economists have advocated the tolling of urban streets as a mechanism for controlling congestion and managing travel demands for over 50 years, it is only recently that this idea has become practical. When compared to the alternative of building more roads, congestion pricing - in particular via electronic tolling - is attractive and has been adopted in countries around the world. Recent implementations in London, Singapore, and various cities in Norway, as well as a number of projects in the United States, have been judged successful.

This book presents rigorous treatments of issues related to congestion pricing. The chapters describe recent advances in areas such as mathematical and computational models for predicting traffic congestion, determining when, where, and how much to levy tolls, and analyzing the impact of tolls on transporation systems. The analyses and methodologies developed in this book provide:

- Mechanisms that aid in determining and comparing congestion pricing schemes

- Methodologies for evaluating the efficiency of existing and proposed congestion pricing schemes

- A means to predict the impact of pricing on urban transporation systems

- Information essential to the financial and political success of congestion pricing programs.

CASL Reference Manual: The Complete Documentation of the Common Algebraic Specification Language
Publisher:Springer | 2004-04-28 | ISBN:3540213015 | Pages:528 | PDF | 3 MB


Book Description:

CASL, the Common Algebraic Specification Language, was designed by the members of CoFI, the Common Framework Initiative for algebraic specification and development, and is a general-purpose language for practical use in software development for specifying both requirements and design. CASL is already regarded as a de facto standard, and various sublanguages and extensions are available for specific tasks.

This reference manual presents a detailed documentation of the CASL specification formalism. It reviews the main underlying concepts, and carefully summarizes the intended meaning of each construct of CASL. The book formally defines both the syntax and semantics of CASL, and presents a logic for reasoning about CASL specifications. Furthermore, extensive libraries of CASL specifications of basic data types are provided as well as a comprehensive annotated bibliography of CoFI publications.

As a separate, complementary book LNCS 2900 presents a tutorial introduction to CASL, the CASL User Manual.

Geometric Design of Linkages (Interdisciplinary Applied Mathematics)
Publisher:Springer | 2000-04-26 | ISBN:0387989838 | Pages:320 | DJVU | 3.3 MB


Book Description:

This book is an introduction to the mathematical theory of design for articulated mechanical systems known as linkages. The focus is on sizing mechanical constraints that guide the movement of a workpiece, or end-effector, of the system. The function of the device is prescribed as a set of positions to be reachable by the end-effector; and the mechanical constraints are formed by joints that limit relative movement. The goal is to find all the devices that can achieve a specific task. Formulated in this way the design problem is purely geometric in character. Robot manipulators, walking machines, and mechanical hands are examples of articulated mechanical systems that rely on simple mechanical constraints to provide a complex workspace for the end- effector. The principles presented in this book form the foundation for a design theory for these devices. The emphasis, however, is on articulated systems with fewer degrees of freedom than that of the typical robotic system, and therefore, less complexity. This book will be useful to mathematics, engineering and computer science departments teaching courses on mathematical modelling of robotics and other articulated mechanical systems.

Modelling, Analysis and Optimization of Biosystems
Publisher: Springer | 2007-09-14 | ISBN 3540714529 | Pages: 203 | PDF | 1 MB

Mathematical models in biology and medicine cannot be based on natural laws as it is the case with physics and chemistry. This is due to the fact that biological and medical processes are concerned with living organisms. Mathematical models, however, can be used as a language by which certain aspects of biological or medical processes can be expressed. In general, several mathematical models can be designed in order to describe a biological or medical process and there is no unique criterion which model gives the best description. This book presents several of these models and shows applications of them to different biological and medical problems. The book shows that operations research expertise is necessary in respect to modeling, analysis and optimization of biosystems.

John Reyn, "Phase Portraits of Planar Quadratic Systems "
Springer; 1 edition (April 2, 2007) | ISBN: 0387304134 | 340 pages | Djvu | 1,4 Mb

Although some examples of phase portraits of quadratic systems can already be found in the work of Poincaré, the first paper dealing exclusively with these systems was published by Büchel in 1904. By the end of the 20th century an increasing flow of publications resulted in nearly a thousand papers on the subject.

This book attempts to give a presentation of the advance of our knowledge of phase portraits of quadratic systems, paying special attention to the historical development of the subject. The book organizes the portraits into classes, using the notions of finite and infinite multiplicity and finite and infinite index. Classifications of phase portraits for various classes are given using the well-known methods of phase plane analysis.

Thomas Schuster, "The Method of Approximate Inverse: Theory and Applications (Lecture Notes in Mathematics)"
Springer; 1 edition (June 12, 2007) | ISBN: 3540712267 | 202 pages | PDF | 2,2 Mb

Inverse problems arise whenever one tries to calculate a required quantity from given measurements of a second quantity that is associated to the first one. Besides medical imaging and non-destructive testing, inverse problems also play an increasing role in other disciplines such as industrial and financial mathematics. Hence, there is a need for stable and efficient solvers. The book is concerned with the method of approximate inverse which is a regularization technique for stably solving inverse problems in various settings such as L2-spaces, Hilbert spaces or spaces of distributions. The performance and functionality of the method is demonstrated on several examples from medical imaging and non-destructive testing such as computerized tomography, Doppler tomography, SONAR, X-ray diffractometry and thermoacoustic computerized tomography. The book addresses graduate students and researchers interested in the numerical analysis of inverse problems and regularization techniques or in efficient solvers for the applications mentioned above

C. J. van Rijsbergen, "The Geometry of Information Retrieval"
Cambridge University Press (September 13, 2004) | ISBN: 0521838053 | 162 pages | PDF | 1,5 Mb

Review
"This is a very interesting book, which appears to provide a solid foundation for future research...van Rijsbergen's explanations are well written and logical. In addition, there are many pointers to other sources of relevant information. This book would be of particular interest to those conducting IR, Artificial Intelligence or Cognitive Science research. The novel approach may also be of interest to web search engine developers. As the author points out, this book could also provide a useful introduction to quantum computation, as most of the required mathematics is included...In conclusion, this is a clearly written and thought-provoking book that has been a pleasure to read. It is highly recommended."
IAPR Newsletter

Book Description
Keith Van Rijsbergen demonstrates how different models of information retrieval (IR) can be combined in the same framework used to formulate the general principles of quantum mechanics. All the standard results can be applied to address problems in IR, such as pseudo-relevance feedback, relevance feedback and ostensive retrieval. The relation with quantum computing is examined. Appendices with background material on physics and mathematics are also included.

Saugata Basu, Richard Pollack, Marie-Françoise Roy,
"Algorithms in Real Algebraic Geometry (Algorithms and Computation in Mathematics)"
Springer; 2nd ed. edition (August 21, 2006) | ISBN:3540330984 | 662 pages | PDF | 4,5 Mb


The algorithmic problems of real algebraic geometry such as real root counting, deciding the existence of solutions of systems of polynomial equations and inequalities, finding global maxima or deciding whether two points belong in the same connected component of a semi-algebraic set appear frequently in many areas of science and engineering. In this textbook the main ideas and techniques presented form a coherent and rich body of knowledge.

Mathematicians will find relevant information about the algorithmic aspects. Researchers in computer science and engineering will find the required mathematical background.

Being self-contained the book is accessible to graduate students and even, for invaluable parts of it, to undergraduate students.

This second edition contains several recent results, on discriminants of symmetric matrices, real root isolation, global optimization, quantitative results on semi-algebraic sets and the first single exponential algorithm computing their first Betti number.

Projective Geometry: An Introduction
Publisher:Oxford University Press, USA | 2006-09-07 | ISBN:0199298866 | Pages:216 | PDF | 1 MB


Book Description:

This lucid and accessible text provides an introductory guide to projective geometry, an area of mathematics concerned with the properties and invariants of geometric figures under projection. Including numerous worked examples and exercises throughout, the book covers axiomatic geometry, field planes and PG(r, F), coordinatising a projective plane, non-Desarguesian planes, conics and quadrics in PG(3, F). Assuming familiarity with linear algebra, elementary group theory, partial differentiation and finite fields, as well as some elementary coordinate geometry, this text is ideal for 3rd and 4th year mathematics undergraduates.

Vladimir N. Sachkov, "Combinatorial Methods in Discrete Mathematics (Encyclopedia of Mathematics and its Applications)"
Publisher: Cambridge University Press | Pages: 320 | ISBN:0521455138 | DjVu | 2 MB


Discrete mathematics is an important tool for the investigation of various models of functioning of technical devices, especially in the field of cybernetics. Here the author presents some complex problems of discrete mathematics in a simple and unified form using an original, general combinatorial scheme. Professor Sachkov's aim is to focus attention on results that illustrate the methods described. A distinctive aspect of the book is the large number of asymptotic formulae derived. Professor Sachkov begins with a discussion of block designs and Latin squares before proceeding to treat transversals, devoting much attention to enumerative problems. The main role in these problems is played by generating functions, considered in Chapter 4. The general combinatorial scheme is then introduced and in the last chapter Polya's enumerative theory is discussed. This is an important book for graduate students and professionals that describes many ideas not previously available in English; the author has updated the text and references where appropriate.

Anne Penfold Street , Deborah J. Street, "Combinatorics of Experimental Design"
Oxford University Press, USA (July 23, 1987) | ISBN: 0198532555 | 414 pages | Djvu | 8 Mb

This book describes direct and recursive methods for the construction of combinatorial designs. It is ideally suited to the statistician through its discussion of how the designs currently used in experimental work have been obtained and through its coverage of other known and potentially useful designs. It is equally suited to the needs of the combinatorialist, with its stress on the statistical motivation for studying particular finite structures and its suggestions of open problems in the construction of new designs with useful properties for the experimentalist. Designs are discussed within a unified framework, showing the interplay between elegant structure and practical use.

Yakov Alber, Irina Ryazantseva, "Nonlinear Ill-posed Problems of Monotone Type"
Springer; 1 edition (March 21, 2006) | ISBN: 1402043953 | 410 pages | PDF | 1,9 Mb

From the reviews of the first edition:

"This monograph offers a systematic and thorough exposition of the theory and applications of non-linear equations and variational inequalities with monotone and accretive operators. The authors have collected, classified, and properly arranged a great deal of results . The present book will certainly help the reader to obtain an introduction to basic ideas and results of the contemporary theory of solution methods for nonlinear monotone problems . The volume can be used as a reference for both experts and novices ." (Mikhail Yu. Kokurin, Zentralblatt MATH, Vol. 1086, 2006)

Book Description

Interest in regularization methods for ill-posed nonlinear operator equations and variational inequalities of monotone type in Hilbert and Banach spaces has grown rapidly over recent years. Results in the field over the last three decades, previously only available in journal articles, are comprehensively explored with particular attention given to applications of regularization methods as well as to practical methods used in computational analysis.

Gert K. Pedersen, " Analysis Now (Graduate Texts in Mathematics)"
Springer; 1 edition (November 14, 2001) | ISBN:0387967885 | 277 pages | Djvu | 1,9 Mb


Graduate students in mathematics, who want to travel light, will find this book invaluable; impatient young researchers in other fields will enjoy it as an instant reference to the highlights of modern analysis. Starting with general topology, it moves on to normed and seminormed linear spaces. From there it gives an introduction to the general theory of operators on Hilbert space, followed by a detailed exposition of the various forms the spectral theorem may take; from Gelfand theory, via spectral measures, to maximal commutative von Neumann algebras. The book concludes with two supplementary chapters: a concise account of unbounded operators and their spectral theory, and a complete course in measure and integration theory from an advanced point of view.

Elena Anne Marchisotto, James T. Smith, " The Legacy of Mario Pieri in Geometry and Arithmetic"
Birkhäuser Boston; 1 edition (May 8, 2007) | ISBN: 0817632107 | 494 pages | PDF | 7,4 Mb

The Italian mathematician Mario Pieri (1860-1913) played an integral part in the research groups of Corrado Segre and Giuseppe Peano, and thus had a significant, yet somewhat underappreciated impact on several branches of mathematics, particularly on the development of algebraic geometry and the foundations of mathematics in the years around the turn of the 20th century. This book is the first in a series of three volumes that are dedicated to countering that neglect and comprehensively examining Pieris life, mathematical work and influence in such diverse fields as mathematical logic, algebraic geometry, number theory, inversive geometry, vector analysis, and differential geometry.

The Legacy of Mario Pieri in Geometry and Arithmetic introduces readers to Pieris career and his studies in foundations, from both historical and modern viewpoints, placing his life and research in context and tracing his influence on his contemporaries as well as more recent mathematicians. The text also provides a glimpse of the Italian academic world of Pieri's time, and its relationship with the developing international mathematics community. Included in this volume are the first English translations, along with analyses, of two of his most important axiomatizationshis postulates for arithmetic, which Peano judged superior to his own; and his foundation of elementary geometry on the basis of point and sphere, which Alfred Tarski used as a basis for his own system.

Combining an engaging exposition, little-known historical information, exhaustive references and an excellent index, this text will be of interest to graduate students, researchers and historians with a general knowledge of logic and advanced mathematics, and it requires no specialized experience in mathematical logic or the foundations of geometry

MATLAB Recipes for Earth Sciences

Springer | 3540727485 | 2nd ed. | 288 pages | English | PDF | 6.0 MB

Anthony W. Knapp, "Basic Algebra (Cornerstones)"
Birkhäuser Boston; 1 edition (September 28, 2006) | ISBN:0817632484 | 717 pages | PDF | 5,1 Mb


Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Together, the two books give the reader a global view of algebra and its role in mathematics as a whole
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