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נשלח ב-27/9/2007 12:11 לינק ישיר 
Motivic Homotopy Theory

 Motivic Homotopy Theory
 Lectures at a Summer School in Nordfjordeid, Norway, August 2002 (Universitext)
 
By B.I. Dundas, M. Levine, P.A. Østvær, O. Röndigs, V. Voevodsky,

  • Publisher:   Springer
  • Number Of Pages:   226
  • Publication Date:   2006-12-28
  • Sales Rank:   1474507
  • ISBN / ASIN:   3540458956
  • EAN:   9783540458951
  • Binding:   Paperback
  • Manufacturer:   Springer
  • Studio:   Springer




    About this textbook

    This book is based on lectures given at a summer school on motivic homotopy theory at the Sophus Lie Centre in Nordfjordeid, Norway, in August 2002. Aimed at graduate students in algebraic topology and algebraic geometry, it contains background material from both of these fields, as well as the foundations of motivic homotopy theory. It will serve as a good introduction as well as a convenient reference for a broad group of mathematicians to this important and fascinating new subject. Vladimir Voevodsky is one of the founders of the theory and received the Fields medal for his work, and the other authors have all done important work in the subject.



תוקן על ידי math007 ב- 27/09/2007 12:12:21



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נשלח ב-29/9/2007 11:10 לינק ישיר 
Elementary Differential Geometry

Elementary Differential Geometry



Andrew Pressley, "Elementary Differential Geometry"
Springer | ISBN 1852331526 | Year 2001 | 332 pages | DjVu | 1.2MB



Book Description
Curves and surfaces are objects that everyone can see, and many of the questions that can be asked about them are natural and easily understood. Differential geometry is concerned with the precise mathematical formulation of some of these questions, and with trying to answer them using calculus techniques. It is a subject that contains some of the most beautiful and profound results in mathematics, yet many of them are accessible to higher level undergraduates.
Elementary Differential Geometry presents the main results in the differential geometry of curves and surfaces while keeping the prerequisites to an absolute minimum. Nothing more than first courses in linear algebra and multivariate calculus are required, and the most direct and straightforward approach is used at all times. Numerous diagrams illustrate both the ideas in the text and the examples of curves and surfaces discussed there.

Reviews
"By the inclusion of 200 exercises with full solutions, this book has become a helpful tool for everyone teaching in its field. Summing up, it is a very good first book on the topic." (Internationale Mathematische Nachrichten, 187, August 2001)

"…Pressley takes the simplest route with respect to all the technical setup: avoid it all. Instead of covariant derivatives, use derivatives with respect to local coordinates. Use moving frames without mentioning connections. Mention the Christoffel symbols very quickly, but don't do very much with them. For the most part, it works…the book does include several versions of the Gauss-Bonnett theorem, allowing the professor to end the course with a bang. All in all, I was quite happy with the book." (MAA Online)


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נשלח ב-29/9/2007 11:26 לינק ישיר 

מיקבץ העשיריה השישית באשכול
1."מתמטיקה שאלון 005"(מהדורה שניה)-אלי מיטב.
2."אקפלה"-לימוד גיאומטריה באמצעות קיפולי נייר -גיא פז.(הומלץ ע"י eitanys  ).
3."האיש שאהב מספרים"-פול הופמן.
4."המספרים של הטבע"-איאן סטיוארט .
5."מסע בעולמות מופשטים"-ד"ר צילה שפיצר -שמיר.
(שלושת הספרים האחרונים הומלצו ע"י lntr ).
6. Algebra and Trigonometry"-Third ed by   some writers .
7.  Parent's guide to 3rd grad :how to ensure your child's success
Riki winegardner 
 8.Basic skills for home schooling -some writers 
9.The same subject like number 7 but for 2rd grad.                                                  
10.Catholic high school entrance exams-Learning express.
(כל חמשת הספרים האחרונים הומלצו ע"י math007
                                        בהנאה ובהצלחה!
                  

  
                                                    



תוקן על ידי basicsi7 ב- 29/09/2007 11:32:07



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נשלח ב-29/9/2007 11:35 לינק ישיר 
Encyclopedia of Measurement and Statistics 3-Volume Set

Encyclopedia of Measurement and Statistics 3-Volume Set



Encyclopedia of Measurement and Statistics 3-Volume Set
Sage Publications, Inc | ISBN 1412916119 | 2006-10-13 | PDF | 1416 pages | 8.6 MB


The study of measurement and statistics can be less than inviting. However, in fields as varying as education, politics, and health care, assessment and the use of measurement and statistics have become integral parts of almost every activity undertaken. These activities require the organization of ideas, the generation of hypotheses, the collection of data, and the interpretation, illustration, and analysis of data. No matter where educated people look, this critical analysis is more important than ever in an age where information—and lots of it—is readily available.

The ideas and tools contained in the Encyclopedia of Measurement and Statistics are approachable and can be invaluable for understanding a very technical world and the increasing flow of information. Although there are references that cover statistics and assessment in depth, none provides as comprehensive a resource in as focused and accessible a manner as the three volumes of this Encyclopedia. Through approximately 500 contributions, experts provide an overview and an explanation of the major topics in these two areas.

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נשלח ב-29/9/2007 11:39 לינק ישיר 
Tools for Statistical Inference

Tools for Statistical Inference:
 Methods for the Exploration of Posterior Distributions and Likelihood Functions
Springer | ISBN 0387946888 | 1998-09-18 | DJVU | 220 pages | 4.6 MB



This book provides a unified introduction to a variety of computational algorithms for likelihood and Bayesian inference. The third edition expands the discussion of many of the techniques discussed, includes additional examples, and adds exercise sets at the end of each chapter.

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נשלח ב-29/9/2007 11:56 לינק ישיר 
Advances in Data Analysis

Advances in Data Analysis
Springer; 1 edition | ISBN: 3540709800 | 687 pages | April 4, 2007 | PDF | 9 Mb



The book focuses on exploratory data analysis, learning of latent structures in datasets, and unscrambling of knowledge. It covers a broad range of methods from multivariate statistics, clustering and classification, visualization and scaling as well as from data and time series analysis. It provides new approaches for information retrieval and data mining. Furthermore, the book reports challenging applications in marketing and management science, banking and finance, bio- and health sciences, linguistics and text analysis, statistical musicology and sound classification, as well as archaeology. Special emphasis is put on interdisciplinary research and the interaction between theory and practice.


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נשלח ב-29/9/2007 12:06 לינק ישיר 
Bayesian Theory

Bayesian Theory
Wiley| ISBN 0471924164 | 1994-01-15 | PDF | 586 pages | 4.6 MB



Recent books in the Wiley Series in Probability and Mathematical Statistics Editors Vic Barnett J. Stuart Hunter Adrian F.M. Smith Geoffrey S. Watson Ralph A. Bradley Joseph B. Kadane Stephen M. Stigler Nicholas I. Fisher David G. Kendall Jozef L. Teugels Optimal Design of Experiments Friedrich Pukelsheim, Universität Augsburg, Augsburg, Germany Optimal Design of Experiments presents the first complete theoretical development of optimal design for the linear model, a unified exposition that embraces a wide variety of design problems. It describes the statistical theory involved in designing experiments, and applies it to typical special cases. The design problems originating from statistics are solved using tools from linear algebra and convex analysis. The material is presented in a very clear, careful and organized way. Rather than assaulting traditional ways of thinking about optimal design, this book pulls together formerly separate entities to create a common framework for diverse design problems that share a common goal. Statisticians, mathematicians, engineers, and operations research specialists will find this book stimulating, challenging, and an asset to their work. 1993 Statistics for Spatial Data, Revised Edition Noel Cressie, Iowa State University, USA Designed for the scientific and engineering professional eager to exploit its enormous potential, Statistics for Spatial Data is a primer to the theory as well as the nuts-and-bolts of this influential technique. Focusing on the three areas of geostatistical data, lattice data, and point patterns, the book sheds light on the link between data and model, and reveals how spatial statistical models can be used to solve a host of problems in science and engineering. The previous edition was hailed by Mathematical Reviews as "an excellent book which…will become a basic reference". Revised to reflect state-of-the-art developments, this edition also features many detailed examples, numerous illustrations, and over 1000 references. The first fully comprehensive introduction, Statistics for Spatial Data is an essential guide for professionals in biology, earth sciences, civil, electrical and agricultural engineering, geography, epidemiology, and ecology.

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נשלח ב-29/9/2007 12:28 לינק ישיר 
Stochastic Simulation

Stochastic Simulation: Algorithms and Analysis (Stochastic Modelling and Applied Probability)
Springer | ISBN 038730679X | 2007-07-27 | PDF | 482 pages | 6.6 MB



Sampling-based computational methods have become a fundamental part of the numerical toolset of practitioners and researchers across an enormous number of different applied domains and academic disciplines. This book provides a broad treatment of such sampling-based methods , as well as accompanying mathematical analysis of the convergence properties of the methods discussed . The reach of the ideas is illustrated by discussing a wide range of applications and the models that have found wide usage. The first half of the book focusses on general methods, whereas the second half discusses model-specific algorithms.

Given the wide range of examples, exercises and applications students, practitioners and researchers in probability, statistics, operations research, economics, finance, engineering as well as biology and chemistry and physics will find the book of value.

Soren Asmussen is Professor of Applied Probability at Aarhus University, Denmark and Peter Glynn is Thomas Ford Professor of Engineering at Stanford University.


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נשלח ב-29/9/2007 12:58 לינק ישיר 
Frontiers in Number Theory, Physics, and Geometry I

Frontiers in Number Theory, Physics, and Geometry I: On Random Matrices, Zeta Functions and Dynamical Systems
Springer | 2007-01 | ISBN: 3540231897 | 490 Pages | 5.23 MB | PDF



The relation between mathematics and physics has a long history, in which the role of number theory and of other more abstract parts of mathematics has recently become more prominent. More than ten years after a first meeting in 1989 between number theorists and physicists at the Centre de Physique des Houches, a second 2-week event focused on the broader interface of number theory, geometry, and physics. This book is the result of that exciting meeting, and collects, in 2 volumes, extended versions of the lecture courses, followed by shorter texts on special topics, of eminent mathematicians and physicists. The present volume has three parts: Random matrices, Zeta functions, Dynamical systems. The companion volume is subtitled: On Conformal Field Theories, Discrete Groups and Renormalization and will be published in 2006 (Springer, 3-540-30307-3).


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נשלח ב-29/9/2007 13:09 לינק ישיר 
Geometry, Mechanics, and Dynamics

Geometry, Mechanics, and Dynamics
Springer | 2002-07-31 | ISBN:0387955186 | 592 Pages | 1.23 MB | PDF




This volume aims to acknowledge J. E. Marsden's influence as a teacher, propagator of new ideas, and mentor of young talent. It presents both survey articles and research articles in the fields that represent the main themes of his work, including elesticity and analysis, fluid mechanics, dynamical systems theory, geometric mechanics, geometric control theory, and relativity and quantum mechanics. The common thread throughout is the use of geometric methods that serve to unify diverse disciplines and bring a wide variety of scientists and mathematicians together in a way that enhances dialogue and encourages cooperation. This book may serve as a guide to rapidly evolving areas as well as a resource both for students who want to work in one of these fields and practitioners who seek a broader view.


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נשלח ב-29/9/2007 13:40 לינק ישיר 
Complex Variables with Applications

Complex Variables with Applications




By

  • Publisher:   Addison Wesley
  • Number Of Pages:   696
  • Publication Date:   2004-08-05
  • Sales Rank:   823230
  • ISBN / ASIN:   0201756099
  • EAN:   9780201756098
  • Binding:   Paperback
  • Manufacturer:   Addison Wesley
  • Studio:   Addison Wesley
  • Average Rating:   4.5
  • Total Reviews:   5

 


 



Date: 2002-01-06   Rating: 5
Review:

One of the best books on the subject

...
The writer introduces the subject from elementary to difficult subects. Partiuclarly good is the section on the integration of complex variables. The writer first introduce the concept of line integrals so the readers have a concept on that before going furhter.



Date: 1999-04-27   Rating: 5
Review:

Awesome book!

I learned complex variable theory on my own from this book and it was a very fun process. The treatment proceeds similar to a normal calculus textbook. Clear examples, and interesting problems are also included. In fact, this book has more info here than most others. At 600+ pp. it's a solid reference.

Also, this is the only such book I've seen with exercise answers included in the back. No other complex variable book out there (that i've seen) does this for some reason.

I highly recommend this title.



Date: 1998-12-29   Rating: 4
Review:

A well written textbook

Free of fancy pedagogical "features," such as color-coded regions of text and useless chapter summaries. You actually have to read (or at least skim) the book to find a few of the important points. Once you find them, you are treated to very well written (and also very clear and exact) definitions, explanations, and examples.



Date: 1998-12-08   Rating: 5
Review:

Great book!

I borrowed this book from a friend and taught myself complex varible theory. The book is so well-written that I had few problems doing so. Since the book's primary audience is engineering students, there probably are, understandably, more rigorous treatments of the subject elsewhere. Overall, though, an outstanding text. I'm trying to convince my friend otherwise so I can purchase his!



Date: 1998-09-24   Rating: 4
Review:

A very good book for complex variables with many examples.

I used this textbook in my junior year of Electrical Engineering. This book carefully explains the important theorems and concepts of Engineering mathematics. It is also filled with worked out example problems that make learning all the more easier. I highly regard this book.



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נשלח ב-29/9/2007 13:49 לינק ישיר 
Higher Engineering Mathematics

Higher Engineering Mathematics, Fifth Edition




By

  • Publisher:   Newnes
  • Number Of Pages:   744
  • Publication Date:   2006-12-28
  • Sales Rank:   726929
  • ISBN / ASIN:   0750681527
  • EAN:   9780750681520
  • Binding:   Paperback
  • Manufacturer:   Newnes
  • Studio:   Newnes

 



Book Description:

John Birds approach, based on numerous worked examples and interactive problems, is ideal for students from a wide range of academic backgrounds, and can be worked through at the students own pace. Basic mathematical theories are explained in the simplest of terms, supported by practical engineering examples and applications from a wide variety of engineering disciplines, to ensure the reader can relate the theory to actual engineering practice. This extensive and thorough topic coverage makes this an ideal text for a range of university degree modules, Foundation Degrees, and HNC/D units.

An established text which has helped many thousands of students to gain exam success, now in its fifth edition Higher Engineering Mathematics has been further extended with new topics to maximise the books applicability for first year engineering degree students, and those following Foundation Degrees. New material includes: inequalities; differentiation of parametric equations; differentiation of hyperbolic functions; and homogeneous first order differential equations.

This book also caters specifically for the engineering mathematics units of the Higher National Engineering schemes from Edexcel, including the core unit Analytical Methods for Engineers, and the two specialist units Further Analytical Methods for Engineers and Engineering Mathematics in their entirety, common to both the electrical/electronic engineering and mechanical engineering pathways. A mapping grid is included showing precisely which topics are required for the learning outcomes of each unit, for ease of reference.

The book is supported by a suite of free web downloads:
* Introductory-level algebra: To enable students to revise basic algebra needed for engineering courses - available at http://books.elsevier.com/companions/9780750681520
* Instructor's Manual: Featuring full worked solutions and mark scheme for all 19 assignments in the book and the remedial algebra assignment - available on http://www.textbooks.elsevier.com for lecturers only
* Extensive Solutions Manual: 640 pages featuring worked solutions for 1,000 of the further problems and exercises in the book - available on http://www.textbooks.elsevier.com for lecturers only

* New edition includes new and extended coverage of additional topics for undergraduate study and Foundation Degree courses
* Includes over 1,000 worked examples and over 1,750 problems, to enable the student to apply mathematics in real-world engineering contexts
* An extensive Solutions Manual provides solutions to over 1,000 of the 1,750 further problems and is available as a free download for lecturers

 

Contents

Preface
Number and algebra
Geometry and trigonometry
Graphs
Vector geometry
Complex numbers
Matrices and determinants
Differential calculus
Integral calculus
Differential equations
Statistics and probability
Laplace transforms
Fourier series
Index


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נשלח ב-29/9/2007 13:57 לינק ישיר 
Computational Noncommutative Algebra and Applications



Computational Noncommutative Algebra and Applications
Springer | 2004-11-03 | ISBN:1402019823 |427 Pages | 3.23 MB | PDF


The fusion of algebra, analysis and geometry, and their application to real world problems, have been dominant themes underlying mathematics for over a century. Geometric algebras, introduced and classified by Clifford in the late 19th century, have played a prominent role in this effort, as seen in the mathematical work of Cartan, Brauer, Weyl, Chevelley, Atiyah, and Bott, and in applications to physics in the work of Pauli, Dirac and others. One of the most important applications of geometric algebras to geometry is to the representation of groups of Euclidean and Minkowski rotations. This aspect and its direct relation to robotics and vision will be discussed in several chapters of this multi-authored textbook, which resulted from the ASI meeting.
Moreover, group theory, beginning with the work of Burnside, Frobenius and Schur, has been influenced by even more general problems. As a result, general group actions have provided the setting for powerful methods within group theory and for the use of groups in applications to physics, chemistry, molecular biology, and signal processing. These aspects, too, will be covered in detail.

With the rapidly growing importance of, and ever expanding conceptual and computational demands on signal and image processing in remote sensing, computer vision, medical image processing, and biological signal processing, and on neural and quantum computing, geometric algebras, and computational group harmonic analysis, the topics of the book have emerged as key tools. The list of authors includes many of the world's leading experts in the development of new algebraic modeling and signal representation methodologies, novel Fourier-based and geometric transforms, and computational algorithms required for realizing the potential of these new application fields.




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נשלח ב-29/9/2007 14:22 לינק ישיר 
Algebra VI: Combinatorial and Asymptotic Methods of Algebra

Algebra VI: Combinatorial and Asymptotic Methods of Algebra. Nonassociative Structures (Encyclopaedia of Mathematical Sciences)



By

  • Publisher:   Springer
  • Number Of Pages:   287
  • Publication Date:   1995-10-27
  • Sales Rank:   4421873
  • ISBN / ASIN:   3540546995
  • EAN:   9783540546993
  • Binding:   Hardcover
  • Manufacturer:   Springer
  • Studio:   Springer
  • Average Rating:   5
  • Total Reviews:   1

 



Book Description:

This book contains two contributions: "Combinatorial and Asymptotic Methods in Algebra" by V.A. Ufnarovskij is a survey of various combinatorial methods in infinite-dimensional algebras, widely interpreted to contain homological algebra and vigorously developing computer algebra, and narrowly interpreted as the study of algebraic objects defined by generators and their relations. The author shows how objects like words, graphs and automata provide valuable information in asymptotic studies. The main methods emply the notions of Gröbner bases, generating functions, growth and those of homological algebra. Treated are also problems of relationships between different series, such as Hilbert, Poincare and Poincare-Betti series. Hyperbolic and quantum groups are also discussed. The reader does not need much of background material for he can find definitions and simple properties of the defined notions introduced along the way. "Non-Associative Structures" by E.N.Kuz'min and I.P.Shestakov surveys the modern state of the theory of non-associative structures that are nearly associative. Jordan, alternative, Malcev, and quasigroup algebras are discussed as well as applications of these structures in various areas of mathematics and primarily their relationship with the associative algebras. Quasigroups and loops are treated too. The survey is self-contained and complete with references to proofs in the literature. The book will be of great interest to graduate students and researchers in mathematics, computer science and theoretical physics.

 



Date: 2000-05-24   Rating: 5
Review:

one of the best books about Combinatorial Methods

I found all what I need in the book. Very interesting discussion of ideas in different areas of algebra.

 


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נשלח ב-29/9/2007 14:28 לינק ישיר 
FAMOUS PROBLEMS OF ELEMENTARY GEOMETRY

FAMOUS PROBLEMS OF ELEMENTARY GEOMETRY:
 The Duplication of the Cube, the Trisection of an Angle, the Quadrature of the Circle.




By

  • Publisher:   Cosimo Classics
  • Number Of Pages:   96
  • Publication Date:   2007-05-01
  • Sales Rank:   699791
  • ISBN / ASIN:   1602064172
  • EAN:   9781602064171
  • Binding:   Paperback
  • Manufacturer:   Cosimo Classics
  • Studio:   Cosimo Classics
  • Average Rating:   5
  • Total Reviews:   1

 



Book Description:

"This short book, first published in 1897, addresses three geometry puzzles that have been passed down from ancient times. Written for high school students, this book aims to show a younger audience why math should matter and to make the problems found in math intriguing. Klein presents for his readers an investigation of the possibility or impossibility of finding solutions for the following problems in light of mathematics available to him: ¿ duplication of the cube ¿ trisection of an angle ¿ quadrature of the circle Mathematicians and students of the history of math will find this an intriguing work. German mathematician FELIX KLEIN (1849¿1925), a great teacher and scientific thinker, significantly advanced the field of mathematical physics and made a number of profound discoveries in the field of geometry. His published works include Elementary Mathematics from an Advanced Standpoint: Arithmetic, Algebra, Analysis and Elementary Mathematics from an Advanced Standpoint: Geometry."

 



Date: 2005-04-19   Rating: 5
Review:

An interesting "unpretending little book"

The back cover claims that this book is "widely regarded as a classic of modern mathematics", but I think one should rather listen to Klein himself: in his preface, Klein calls it an "unpretending little book", apparently based on a few (unpretending?) little lectures, typed up into a book by some (unpretending?) little student.

Circumventing Galois Theory, Klein proves the impossibility of doubling a cube and trisecting an angle in the first ten pages. We then look at the solvable cases of circle division, especially the constructability of the regular 17-gon. Gauss proved algebraically that p-division of the circle is possible for Fermat primes p=2^2^k+1. We work through Gauss's proof in the special case p=17. Giving up on a fully geometric proof, "there remains, then, only the geometric translation of the individual algebraic steps". In the second part of the book, to prove that it is impossible to square the circle we prove the transcendence of pi, and in the process we must also show the transcendence of e (and then go through Euler's formula e^i*pi=-1). These proofs use only elementary mathematics but unfortunately they are still rather technical. Perhaps the history of these proofs--they are the results of successive reworkings of much more advanced analytic proofs--vouches for their artificiality.



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