;تب رياضيات مجانية 10\05\2008

Brian J. Cantwell “Introduction to Symmetry Analysis (With CD-ROM)"
Cambridge University Press | 2002-07-15 | ISBN:0521771838 | Djvu | 664 pages | 4,9 Mb

This text offers a broad, self-contained, introduction to the basic concepts of symmetry analysis and is intended primarily for first and second year graduate students in science, engineering and applied mathematics. Mathematica-based software for finding the Lie point symmetries and Lie-Bäcklund symmetries of differential equations is included on a CD along with more than forty sample notebooks illustrating applications ranging from simple, low order, ordinary differential equations to complex systems of partial differential equations. The software requires Mathematica 2.2 or higher. MathReader 4.0 is included to permit the user without access to Mathematica to read the sample notebooks and follow the procedure used to find symmetries.

Karim M. Abadir, Jan R. Magnus “Matrix Algebra (Econometric Exercises)"
Cambridge University Press | 2005-08-22 | ISBN:0521822890 | PDF | 464 pages | 2,1 Mb

The first volume of the Econometric Exercises Series, Matrix Algebra contains exercises relating to course material in matrix algebra that students are expected to know while enrolled in an (advanced) undegraduate or a postgraduate course in econometrics or statistics. The book features a comprehensive collection of exercises with complete answers. More than just a collection of exercises, the volume is a textbook organized in a completely different manner than the usual textbook. It can be used as a self-contained course in matrix algebra or as a supplementary text.

Michael Spivak “Joy of Tex: A Gourmet Guide to Typesetting With the Ams-Tex Macro Package "
American Mathematical Society | 1990-04-01 | ISBN:0821829971 | Djvu | 309 pages | 1,9 Mb


The Joy of TeX is the user-friendly guide to AMSTeX, a software package based on the computer typesetting language TeX. AMSTeX was designed to simplify typesetting of mathematical quantities, equations, and displays, and to format the output according to any of various preset style specifications. This second edition of Joy reflects the changes introduced on Version 2.0 of the AMSTeX macro package. The first two parts of the manual, "Starters" and "Main Courses", teach the reader how to typeset the kind of text and mathematics one ordinarily encounters. "Sauces and Pickles", the third section, treats more exotic problems and includes a 60-page dictionary of special TeXniques. The manual also includes descriptions of conventions of mathematical typography to help the novice technical typist. Appendices list handy summaries of frequently used and more esoteric symbols. This manual is useful for technical typists as well as scientists who prepare their own manuscripts. For the novice, exercises sprinkled generously throughout each chapter encourage the reader to sit down at a terminal and learn through experimentation.

V. I. Arnold “Dynamical Systems IV: Symplectic Geometry and Its Applications (Encyclopaedia of Mathematical Sciences) "
Springer | 1990-05 | ISBN:0387170030 | Djvu | 283 pages | 2 Mb


From the reviews of the first edition:
"... In general the articles ... are well written in a style that enables one to grasp the ideas. The actual style is a readable mix of the important results, outlines of proofs and complete proofs when it does not take too long together with readable explanations of what is going on. Also very useful are the large lists of references which are important not only for their mathematical content but also because the references given also contain articles in the Soviet literature which may not be familiar or possibly accessible to readers."
New Zealand Math. Soc. Newsletter 1991
"... Here ... a wealth of material is displayed for us, too much to even indicate in a review. ... Your reviewer was very impressed by the contents of both volumes (EMS 2 and 4), recommending them without any restriction. As far as he could judge, most presentations seem fairly complete..."
Mededelingen van het Wiskundig genootshap 1992

D. V. Anosov, Samuel Kh Aranson, V. I. Arnold, I. U. Bronshtejn, V. Z. Grines
“Dynamical Systems I (Encyclopaedia of Mathematical Sciences) "
Springer | 1987-06 | ISBN:0387170006 | Djvu | 233 pages | 1,6 Mb

"The reading is very easy and pleasant for the non-mathematician, which is really noteworthy. The two chapters enunciate the basic principles of the field, ...indicate connections with other fields of mathematics and sketch the motivation behind the various concepts which are introduced.... What is particularly pleasant is the fact that the authors are quite successful in giving to the reader the feeling behind the demonstrations which are sketched. Another point to notice is the existence of an annotated extended bibliography and a very complete index. This really enhances the value of this book and puts it at the level of a particularly interesting reference tool. I thus strongly recommend to buy this very interesting and stimulating book." (Journal de Physique)

D. V. Anosov, Samuel Kh Aranson, V. I. Arnold, I. U. Bronshtejn, V. Z. Grines
“Dynamical Systems I (Encyclopaedia of Mathematical Sciences) "
Springer | 1987-06 | ISBN:0387170006 | Djvu | 233 pages | 1,6 Mb

"The reading is very easy and pleasant for the non-mathematician, which is really noteworthy. The two chapters enunciate the basic principles of the field, ...indicate connections with other fields of mathematics and sketch the motivation behind the various concepts which are introduced.... What is particularly pleasant is the fact that the authors are quite successful in giving to the reader the feeling behind the demonstrations which are sketched. Another point to notice is the existence of an annotated extended bibliography and a very complete index. This really enhances the value of this book and puts it at the level of a particularly interesting reference tool. I thus strongly recommend to buy this very interesting and stimulating book." (Journal de Physique)

Bert Mendelson "Introduction to Topology"
Allyn and Bacon | 1963 | ISBN: B0000CLXZP | Djvu | 217 pages | 1,5 Mb

Yu. I. Manin “A Course in Mathematical Logic"
Springer | 1977-12-19 | ISBN: 0387902430 | Djvu | 286 pages | 4,4 Mb

This book is a text of mathematical logic on a sophisticated level, presenting the reader with several of the most significant discoveries of the last 10 to 15 years, including the independence of the continuum hypothesis, the Diophantine nature of enumerable sets and the impossibility of finding an algorithmic solution for certain problems. The book contains the first textbook presentation of Matijasevic's result. The central notions are provability and computability; the emphasis of the presentation is on aspects of the theory which are of interest to the working mathematician. Many of the approaches and topics covered are not standard parts of logic courses; they include a discussion of the logic of quantum mechanics, Goedel's constructible sets as a sub-class of von Neumann's universe, the Kolmogorov theory of complexity. Feferman's theorem on Goedel formulas as axioms and Highman's theorem on groups defined by enumerable sets of generators and relations. A number of informal digressions concerned with psychology, linguistics, and common sense logic should interest students of the philosophy of science or the humanities.

J. C. C. McKinsey “Introduction to the Theory of Games "
Dover Publications | 2003-04-25 | ISBN:0486428117 | PDF | 382 pages | 8,9 Mb


One of the classic early monographs on game theory, this comprehensive overview of the mathematical theory of games illustrates applications to situations involving conflicts of interest, including economic, social, political, and military contexts. Appropriate for advanced undergraduate and graduate courses; advanced calculus a prerequisite. Includes 51 figures and 8 tables.1952 edition.

Handscomb D.C., Ed. “Methods of Numerical Approximation "
Pergamon | 1966 | ISBN: 0080119964 | Djvu | 228 pages | 1,7 Mb


Methods of Numerical Approximation
by Handscomb D.C., Ed.

J Ilya J. Bakelman “Geometric Analysis and Nonlinear Partial Differential Equations"
CRC | 1993-02-17 | ISBN:0824788974 | Djvu | 336 pages | 8 Mb


This reference features papers from the Special Session of the American Mathematical Society Meeting held in 1990 at the University of North Texas, Denton - discussing and developing research on boundary value problems for nonlinear partial differential equations and related problems.;Written by more than 15 authorities in the field, Geometric Analysis and Nonlinear Partial Differential Equations: presents methods and results of the convex bodies and geometric inequalities theory and its applications to differential equations, geometry, and mathematical physics; details recent studies on Monge-Ampere equations, emphasizing geometric inequalities governing a priori estimates of solutions and existence theorems of the Dirichlet problem for convex generalized solutions and showing the proofs of all theorems; examines the generalization of the isoperimetric inequality for two-dimensional general convex surfaces whose integral Gaussian curvature is less than 2 pi; and contains open problems on the theory of surfaces with constant mean curvature.;Geometric Analysis and Nonlinear Partial Differential Equations is for mathematical analysts, geometers, pure and applied mathematicians, physicists, engineers, computer scientists, and upper-level undergraduate and graduate students in these disciplines.

J. Gray “Formal Category Theory: Adjointness for Two Categories"
Springer-Verlag | 1974-09 | ISBN: 0387068309 | Djvu | 282 pages | 1,3 Mb

Formal Category Theory: Adjointness for Two Categories (Lecture notes in mathematics, 391)
By J. Gray

C. C. Mac Duffee “The Theory of Matrices"
Chelsea Publishing Company | 1946 | ISBN: B000OLIH82 | Djvu | 110 pages | 2,9 Mb

The Theory of Matrices
By C. C. Mac Duffee

Rare book. Publication Date: 1946

R. Osserman (Ed.), "Geometry V: Minimal Surfaces (Encyclopaedia of Mathematical Sciences, vol.90)"
Springer-Verlag | ISBN: 3540605231 | 272 pages | PDF | 13,4 MB


The theory of minimal surfaces has expanded in many directions over the past decade or two. This volume gathers in one place an overview of some of the most exciting developments, presented by five of the leading contributors to those developments. H.Fujimoto, who obtained the definitive results on the Gauss map of minimal surfaces, reports on Minimal Surfaces and Nevanlinna Theory. S.Hildebrandt provides an up-to-date account of the Plateau problem and related boundary-value problems. D.Hoffman and H.Karcher describe the wealth of results on embedded minimal surfaces from the past decade, starting with Costa's surface and the subsequent Hoffman-Meeks examples. Finally, L.Simon covers the PDE aspect of minimal surfaces, with a survey of known results both in the classical case of surfaces and the higher dimensional case.

L. Hopf “Introduction to the Differential Equations of Physics"
Dover| 1948 | ISBN: B000OLSBRY | Djvu | 154 pages | 1,2 Mb

Introduction to the Differential Equations of Physics
By L. Hopf (Walter Nef, translator)

F.B. Hildebrand “Methods of Applied Mathematics"
Prentice-Hall, Inc | 1963 | ISBN: B000KQ4LSG | Djvu | 362 pages | 5,3 Mb

This book offers engineers and physicists working knowledge of a number of mathematical facts and techniques not commonly treated in courses in advanced calculus, but nevertheless extremely useful when applied to typical problems. Explores linear algebraic equations, quadratic and Hermitian forms, operations with vectors and matrices, the calculus of variations, more. Includes annotated problems and exercises.

Richard A. Mollin “Codes: The Guide to Secrecy From Ancient to Modern Times"
Chapman & Hall/CRC | 2005-05-24 | ISBN: 1584884703 | 704 pages | PDF | 4,7 Mb

From the Rosetta Stone to public-key cryptography, the art and science of cryptology has been used to unlock the vivid history of ancient cultures, to turn the tide of warfare, and to thwart potential hackers from attacking computer systems. Codes: The Guide to Secrecy from Ancient to Modern Times explores the depth and breadth of the field, remaining accessible to the uninitiated while retaining enough rigor for the seasoned cryptologist. The book begins by tracing the development of cryptology from that of an arcane practice used, for example, to conceal alchemic recipes, to the modern scientific method that is studied and employed today. The remainder of the book explores the modern aspects and applications of cryptography, covering symmetric- and public-key cryptography, cryptographic protocols, key management, message authentication, e-mail and Internet security, and advanced applications such as wireless security, smart cards, biometrics, and quantum cryptography. The author also includes non-cryptographic security issues and a chapter devoted to information theory and coding. Nearly 200 diagrams, examples, figures, and tables along with abundant references and exercises complement the discussion. Written by leading authority and best-selling author on the subject Richard A. Mollin, Codes: The Guide to Secrecy from Ancient to Modern Times is the essential reference for anyone interested in this exciting and fascinating field, from novice to veteran practitioner.

Jacques Mohcine Bahi, Sylvain Contassot-Vivier, Raphael Couturier “Parallel Iterative Algorithms: From Sequential to Grid Computing"
Chapman & Hall/CRC | 2007-11-28 | ISBN: 1584888083 | 240 pages | PDF | 1,8 Mb

Focusing on grid computing and asynchronism, Parallel Iterative Algorithms explores the theoretical and practical aspects of parallel numerical algorithms. Each chapter contains a theoretical discussion of the topic, an algorithmic section that fully details implementation examples and specific algorithms, and an evaluation of the advantages and drawbacks of the algorithms. Several exercises also appear at the end of most chapters. The first two chapters introduce the general features of sequential iterative algorithms and their applications to numerical problems. The book then describes different kinds of parallel systems and parallel iterative algorithms. It goes on to address both linear and nonlinear parallel synchronous and asynchronous iterative algorithms for numerical computation, with an emphasis on the multisplitting approach. The final chapter discusses the features required for efficient implementation of asynchronous iterative algorithms. Providing the theoretical and practical knowledge needed to design and implement efficient parallel iterative algorithms, this book illustrates how to apply these algorithms to solve linear and nonlinear numerical problems in parallel environments, including local, distant, homogeneous, and heterogeneous clusters.

Bernard Friedman “Principles and Techniques of Applied Mathematics"
Dover Publications | 1990-12 | ISBN: 0486664449 | 315 pages | Djvu | 3,4 Mb

Readers reviews:
*You can learn every topic listed in this book using this book all by itself. It has the clearest introduction to these topics that I have seen. I read this book from start to finish, and it was a revelation every step of the way.

*it's such a small book yet has the best discussion on delta function and spectral presentation i've seen.
it's strange that one reviewer mentions it's not for mathematician but it's a good engineering book for applications. My impression is just the opposite even it does not contain a lot of rigorous proofs.
I think for an average engineer who just wants to applications, this book is a poor choice, cause real-life data are almost always discrete and finite yet this book always use continuous functions as examples. but that is not what it is for. There are other engineering books better for these purposes.
This book is for anyone (physicist, applied mathematician or engineer) who has a passing knowledge of eigenfunction & linear operators, and who wants to know more in-depth underlying math.

Elliott Mendelson “Schaum's Outline of Beginning Calculus"
McGraw-Hill | 2007-08-27 | ISBN: 0071487549 | 400 pages | PDF | 4,6 Mb



Confusing Textbooks?
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Fortunately for you, there's Schaum's Outlines. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills.

This Schaum's Outline gives you
Practice problems with full explanations that reinforce knowledge
Coverage of the most up-to-date developments in your course field
In-depth review of practices and applications

Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores!
Schaum's Outlines-Problem Solved.

Bachir Bekka, Pierre de la Harpe, Alain Valette “Kazhdan's Property (T)"
Cambridge University Press | 2008-06-30 | ISBN: 0521887208 | 486 pages | PDF | 1,8 Mb

Property (T) is a rigidity property for topological groups, first formulated by D. Kazhdan in the mid 1960's with the aim of demonstrating that a large class of lattices are finitely generated. Later developments have shown that Property (T) plays an important role in an amazingly large variety of subjects, including discrete subgroups of Lie groups, ergodic theory, random walks, operator algebras, combinatorics, and theoretical computer science. This monograph offers a comprehensive introduction to the theory. It describes the two most important points of view on Property (T): the first uses a unitary group representation approach, and the second a fixed point property for affine isometric actions. Via these the authors discuss a range of important examples and applications to several domains of mathematics. A detailed appendix provides a systematic exposition of parts of the theory of group representations that are used to formulate and develop Property (T).

M. Hazewinkel “Handbook of Algebra, Volume 5"
North Holland | 2008-04-16 | ISBN: 0444531017 | 576 pages | PDF | 3,4 Mb

Algebra, as we know it today, consists of many different ideas, concepts and results. A reasonable estimate of the number of these different items would be somewhere between 50,000 and 200,000. Many of these have been named and many more could (and perhaps should) have a name or a convenient designation. Even the nonspecialist is likely to encounter most of these, either somewhere in the literature, disguised as a definition or a theorem or to hear about them and feel the need for more information. If this happens, one should be able to find enough information in this Handbook to judge if it is worthwhile to pursue the quest.
In addition to the primary information given in the Handbook, there are references to relevant articles, books or lecture notes to help the reader. An excellent index has been included which is extensive and not limited to definitions, theorems etc.
The Handbook of Algebra will publish articles as they are received and thus the reader will find in this third volume articles from twelve different sections. The advantages of this scheme are two-fold: accepted articles will be published quickly and the outline of the Handbook can be allowed to evolve as the various volumes are published.
A particularly important function of the Handbook is to provide professional mathematicians working in an area other than their own with sufficient information on the topic in question if and when it is needed.

- Thorough and practical source for information
- Provides in-depth coverage of new topics in algebra
- Includes references to relevant articles, books and lecture notes

Peter Hackman “Elementary Number Theory"
Linköpings universitet, Sweden | 2007 | ISBN: N/A | 411 pages | PDF | 1,19 Mb

Interesting and partly non-traditional book in elementary number theory for undergraduates in mathematics and computer science with some background in general algebra. A lot of material is included here, some topics are unusual. Autor “strongly advocate the use of computers as a means of generating and investigating examples” but he points that “this text is not conceived as a book on computational number theory”. Various original (more elegant and concise) proofs of theorems are presented in this book, found by the author himself…

Contents (chapters):

Preface
A Divisibility, Unique Factorization
B Congruences. The CRT (Chinese Remainder Theorem)
C Primitive Roots
D Quadratic Reciprocity
E Some Diophantine Problems
F Multiplicative Functions
G Continued Fractions
H “QCF” and Pell’s Equation
J Special Topics
K Z[i], Other Number Rings
L Primality and Factorization
Bibliography
Tables

Microwave Techniques and Protocols
Humana Press | 2001-08-03 | ISBN: 089603903X | 230 pages | PDF | 33,5 Mb

Richard Giberson and Richard Demaree, Jr, have collected a wide range of time-saving microwave techniques for processing biological samples for evaluation by many different microscopic methods. Described in step-by-step detail by hands-on researchers, these readily reproducible protocols include both optimized classic methods and such state-of-the art techniques as in vivo labeling, formalin fixation of fresh tissue, vacuum processing, and processing for scanning electron microscopy. Each stand-alone microwave method has been handcrafted by a researcher who regularly uses it to ensure processing success and the brightest quality result.