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Thursday, January 10, 2008

Modern Algebra with Applications 2nd Edition

Blending the theoretical with the practical in the instruction of modern algebra, Modern Algebra with Applications, Second Edition provides interesting and important applications of this subject—effectively holding your interest and creating a more seamless method of instruction. Filled with in-depth insights and over six hundred exercises of varying difficulty, this invaluable text can help anyone appreciate and understand this subject.
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A Course in Homological Algebra (Graduate Texts in Mathematics)

A Course in Homological Algebra (Graduate Texts in Mathematics)
Springer 2nd Edition | 1997 | 384 pages | ISBN-10: 0387948236 | DJVU | 4.84 MB

This classic book provides a broad introduction to homological algebra, including a comprehensive set of exercises. Since publication of the first edition homological algebra has found a large number of applications in many different fields. Today, it is a truly indispensable tool in fields ranging from finite and infinite group theory to representation theory, number theory, algebraic topology and sheaf theory. In this new edition, the authors have selected a number of different topics and describe some of the main applications and results to illustrate the range and depths of these developments. The background assumes little more than knowledge of the algebraic theories groups and of vector spaces over a field.

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Abel's Theorem in Problems and Solutions: Based on the lectures of Professor V.I. Arnold - Reup.

Do formulas exist for the solution to algebraical equations in one variable of any degree like the formulas for quadratic equations? The main aim of this book is to give new geometrical proof of Abel's theorem, as proposed by Professor V.I. Arnold. The theorem states that for general algebraical equations of a degree higher than 4, there are no formulas representing roots of these equations in terms of coefficients with only arithmetic operations and radicals. A secondary, and more important aim of this book, is to acquaint the reader with two very important branches of modern mathematics: group theory and theory of functions of a complex variable. This book also has the added bonus of an extensive appendix devoted to the differential Galois theory, written by Professor A.G. Khovanskii. As this text has been written assuming no specialist prior knowledge and is composed of definitions, examples, problems and solutions, it is suitable for self-study or teaching students of mathematics, from high school to graduate.

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Introduction to Topological Manifolds

Introduction to Topological Manifolds (Graduate Texts in Mathematics) by John M. Lee (Author)
Publisher: Springer; 1 edition (June 1, 2000) | ISBN-10: 0387950265 | linked PNG-files | 23 Mb | 400 pages

This book is an introduction to manifolds at the beginning graduate level. It contains the essential topological ideas that are needed for the further study of manifolds, particularly in the context of differential geometry, algebraic topology, and related fields. Its guiding philosophy is to develop these ideas rigorously but economically, with minimal prerequisites and plenty of geometric intuition. A course on manifolds differs from most other introductory mathematics graduate courses in that the subject matter is often completely unfamiliar. Unlike algebra and analysis, which all math majors see as undergraduates, manifolds enter the curriculum much later. It is even possible to get through an entire undergraduate mathematics education without ever hearing the word "manifold." Yet manifolds are part of the basic vocabulary of modern mathematics, and students need to know them as intimately as they know the integers, the real numbers, Euclidean spaces, groups, rings, and fields. In his beautifully conceived introduction, the author motivates the technical developments to follow by explaining some of the roles manifolds play in diverse branches of mathematics and physics. Then he goes on to introduce the basics of general topology and continues with the fundamental group, covering spaces, and elementary homology theory. Manifolds are introduced early and used as the main examples throughout. John M. Lee is currently Professor of Mathematics at the University of Washington.

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Essential MATLAB for Engineers and Scientists, Third Edition

The essential guide to MATLAB as a problem solving tool

This text presents MATLAB both as a mathematical tool and a programming language, giving a concise and easy to master introduction to its potential and power. Stressing the importance of a structured approach to problem solving, the text gives a step-by-step method for program design and algorithm development. The fundamentals of MATLAB are illustrated throughout with many examples from a wide range of familiar scientific and engineering areas, as well as from everyday life.

Features:

Includes MATLAB Version 7.2, Release 2006a
Numerous simple exercises provide hands-on learning of MATLABs functions
A new chapter on dynamical systems shows how a structured approach is used to solve more complex problems.
Common errors and pitfalls highlighted
Concise introduction to useful topics for solving problems in later engineering and science courses: vectors as arrays, arrays of characters, GUIs, advanced graphics, simulation and numerical methods
Text and graphics in four colour
Extensive instructor support

Essential MATLAB for Engineers and Scientists is an ideal textbook for a first course on MATLAB or an engineering problem solving course using MATLAB, as well as a self-learning tutorial for students and professionals expected to learn and apply MATLAB for themselves.

Additional material is available for lecturers only at http://textbooks.elsevier.com. This website provides lecturers with:
# A series of Powerpoint presentations to assist lecture preparation
# Extra quiz questions and problems
# Additional topic material
# M-files for the exercises and examples in the text (also available to students at the books companion site)
# Solutions to exercises
# An interview with the revising author, Daniel Valentine

Numerous simple exercises give hands-on learning
A chapter on algorithm development and program design
Common errors and pitfalls highlighted
Concise introduction to useful topics for solving problems in later engineering and science courses: vectors as arrays, arrays of characters, GUIs, advanced graphics, simulation and numerical methods
A new chapter on dynamical systems shows how a structured approach is used to solve more complex problems.
Text and graphics in four colour
Extensive teacher support on http://textbooks.elsevier.com: solutions manual, extra problems, multiple choice questions, PowerPoint slides
Companion website for students providing M-files used within the book

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Modeling Biological Systems: Principles and Applications

Book Description:

This is the second edition of a textbook currently published by Springer for a course in mathematical modeling and computer simulation for biologists at the advanced undergraduate and introductory graduate level. The audience for this edition is similar to that of the previous one: advanced level courses in computational biology, as well as researchers retooling themselves. This new edition includes a CD-ROM with real examples of models as teaching tools.

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Statistical Mechanics of Learning

A. Engel / C. Van den Broeck, «Statistical Mechanics of Learning»
Cambridge University Press | ISBN 0521773075 | 2001-04-02 | PDF | 2 Mb | 342 pages

The effort to build machines that are able to learn and undertake tasks such as datamining, image processing and pattern recognition has led to the development of artificial neural networks in which learning from examples may be described and understood. The contribution to this subject made over the past decade by researchers applying the techniques of statistical mechanics is the subject of this book. The authors provide a coherent account of various important concepts and techniques that are currently only found scattered in papers, supplement this with background material in mathematics and physics, and include many examples and exercises.

Learning is one of the things that humans do naturally, and it has always been a challenge for us to understand the process. Nowadays this challenge has another dimension as we try to build machines that are able to learn and to undertake tasks such as datamining, image processing and pattern recognition. We can formulate a simple framework, artificial neural networks, in which learning from examples may be described and understood. The contribution to this subject made over the last decade by researchers applying the techniques of statistical mechanics is the subject of this book. The authors provide a coherent account of various important concepts and techniques that are currently only found scattered in papers, supplement this with background material in mathematics and physics and include many examples and exercises to make a book that can be used with courses, or for self-teaching, or as a handy reference.

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The A to Z of Mathematics: A Basic Guide

The A to Z of Mathematics: A Basic Guide
496 pages | Wiley-Interscience; 1st edition (July 2002) | English | 0471150452 | 3.5 MB

Thomas Sidebotham's book is a valuable contribution to successful mathematical understanding and will appeal to a wide audience. It is perfect for any student requiring a firm grounding in mathematics; parents struggling to support a son or daughter; teachers who want to give their students clear definitions and simple, well structured examples or for those of us who are faced with mathematical tasks when our knowledge has become rather rusty.

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Cognition and Multi-Agent Interaction: From Cognitive Modeling to Social Simulation by Ron Sun

Cognition and Multi-Agent Interaction: From Cognitive Modeling to Social Simulation by Ron Sun (Editor)
Cambridge University Press (December 5, 2005) | ISBN-10: 0521839645 | PDF | 3,2 Mb | 448 pages

This book explores the intersection between cognitive sciences and social sciences. In particular, it explores the intersection between individual cognitive modeling and modeling of multi-agent interaction (social stimulation). The two contributing fields--individual cognitive modeling (especially cognitive architectures) and modeling of multi-agent interaction (including social simulation and, to some extent, multi-agent systems)--have seen phenomenal growth in recent years. However, the interaction of these two fields has not been sufficiently developed. We believe that the interaction of the two may be more significant than either alone.

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Logic For Dummies

Logic For Dummies
For Dummies | 2006 | 384 pages | ISBN-10: 0471799416 | PDF | 3.32 MB

Logic concepts are more mainstream than you may realize. There’s logic every place you look and in almost everything you do, from deciding which shirt to buy to asking your boss for a raise, and even to watching television, where themes of such shows as CSI and Numbers incorporate a variety of logistical studies. Logic For Dummies explains a vast array of logical concepts and processes in easy-to-understand language that make everything clear to you, whether you’re a college student of a student of life.

You’ll find out about:

* Formal Logic
* Syllogisms
* Constructing proofs and refutations
* Propositional and predicate logic
* Modal and fuzzy logic
* Symbolic logic
* Deductive and inductive reasoning

Logic For Dummies tracks an introductory logic course at the college level. Concrete, real-world examples help you understand each concept you encounter, while fully worked out proofs and fun logic problems encourage you students to apply what you’ve learned.

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Advanced Modern Algebra - Reup.

Advanced Modern Algebra
Prentice Hall | 2002 | 1040 pages | ISBN-10: 0130878685 | PDF | 4.73 MB

This book's organizing principle is the interplay between groups and rings, where “rings” includes the ideas of modules. It contains basic definitions, complete and clear theorems (the first with brief sketches of proofs), and gives attention to the topics of algebraic geometry, computers, homology, and representations. More than merely a succession of definition-theorem-proofs, this text put results and ideas in context so that students can appreciate why a certain topic is being studied, and where definitions originate. Chapter topics include groups; commutative rings; modules; principal ideal domains; algebras; cohomology and representations; and homological algebra. For individuals interested in a self-study guide to learning advanced algebra and its related topics.

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Mark H. Holmes, «Introduction to Numerical Methods in Differential Equations» (Texts in Applied Mathematics)

This is a textbook for upper division undergraduates and beginning graduate students. Its objective is that students learn to derive, test and analyze numerical methods for solving differential equations, and this includes both ordinary and partial differential equations. In this sense the book is constructive rather than theoretical, with the intention that the students learn to solve differential equations numerically and understand the mathematical and computational issues that arise when this is done. An essential component of this is the exercises, which develop both the analytical and computational aspects of the material. The importance of the subject of the book is that most laws of physics involve differential equations, as do the modern theories on financial assets. Moreover many computer animation methods are now based on physics based rules and are heavily invested in differential equations. Consequently numerical methods for differential equations are important for multiple areas.

The author currently teaches at Rensselaer Polytechnic Institute and is an expert in his field. He has previously published a book with Springer, Introduction to Perturbation Methods.

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Hans-Walter Bandemer, H. Bandemer, «Mathematics of Uncertainty: Ideas, Methods, Application Problems»

"Mathematics of Uncertainty" provides the basic ideas and foundations of uncertainty, covering the fields of mathematics in which uncertainty, variability, imprecision and fuzziness of data are of importance. This introductory book describes the basic ideas of the mathematical fields of uncertainty from simple interpolation to wavelets, from error propagation to fuzzy sets and neural networks. The book presents the treatment of problems of interpolation and approximation, as well as observation fuzziness which can essentially influence the preciseness and reliability of statements on functional relationships. The notions of randomness and probability are examined as a model for the variability of observation and measurement results. Besides these basic ideas the book also presents methods of qualitative data analysis such as cluster analysis and classification, and of evaluation of functional relationships such as regression analysis and quantitative fuzzy data analysis.

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Discrete & Computational Geometry

Discrete & Computational Geometry is an international journal of mathematics and computer science, covering a broad range of topics in which geometry plays a fundamental role. It accepts research articles of high quality in discrete geometry and on the design and analysis of geometric algorithms; more specifically, DCG publishes papers on such topics as configurations and arrangements, spatial subdivision, packing, covering, and tiling, geometric complexity, polytopes, point location, geometric probability, geometric range searching, combinatorial and computational topology, probabilistic techniques in computational geometry, geometric graphs, geometry of numbers, and motion planning, as well as papers with a distinct geometric flavor in such areas as graph theory, mathematical programming, real algebraic geometry, matroids, solid modeling, computer graphics, combinatorial optimization, image processing, pattern recognition, crystallography, VLSI design, and robotics.

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Hugh Gordon, «Discrete Probability»

DISCRETE PROBABILITY is a textbook, at a post-calculus level, for a first course in probability. Since continuous probability is not treated, discrete probability can be covered in greater depth. The result is a book of special interest to students majoring in computer science as well as those majoring in mathematics. Since calculus is used only occasionally, students who have forgotten calculus can nevertheless easily understand the book. The slow, gentle style and clear exposition will appeal to students. Basic concepts such as counting, independence, conditional probability, randon variables, approximation of probabilities, generating functions, random walks and Markov chains are presented with good explanation and many worked exercises. An important feature of the book is the abundance of problems, which students may use to master the material. The 1,196 numerical answers to the 405 exercises, many with multiple parts, are included at the end of the book. Throughout the book, various comments on the history of the study of probability are inserted. Biographical information about some of the famous contributors to probability such as Fermat, Pascal, the Bernoullis, DeMoivre, Bayes, Laplace, Poisson, Markov, and many others, is presented. This volume will appeal to a wide range of readers and should be useful in the undergraduate programs at many colleges and universities.

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Survey Sampling: Theory and Methods, Second Edition

A.Chaudhuri, H.Stenger, \"Survey Sampling: Theory and Methods\"
CRC | ISBN / ASIN:0824757548 | 2005 | 416 pages | PDF | 2.7MB

Since publication of the first edition in 1992, the field of survey sampling has grown considerably. This new edition of Survey Sampling: Theory and Methods has been updated to include the latest research and the newest methods. The authors have undertaken the daunting task of surveying the sampling literature of the past few decades to provide an outstanding research reference. Starting with the unified theory, the authors explain in the clearest of terms the subsequent developments. In fact, even the most modern innovations of survey sampling, both methodological and theoretical, have found a place in this concise volume. The book includes many techniques not covered adequately in most textbooks.

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Think Like A Grandmaster: Algebraic Edition

A. Kotov, \"Think Like A Grandmaster: Algebraic Edition\"
Batsford | ISBN / ASIN:0713478853 | 2003 | 192 pages | Pdf | 8.8 MB

A classic, now available in modern algebraic notation for the first time! Few books have had as much impact on chess literature as this: the first edition sold out within months, and it was immediately recognized as a masterpiece of chess instruction. Twenty years later, it remains a bestseller in the field and one of the best practical training manuals available.

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Practical Guide to Chemometrics, Second Edition

Book Description

Practical Guide to Chemometrics, Second Edition offers an accessible introduction to application-oriented multivariate methods of data analysis and procedures for solving a variety of problems using analytical chemistry and statistics. This second edition has been completely revised to feature new chapters on principal component analysis, self-modeling curve resolution, and multi-way analysis methods. It includes expanded material on normal distributions, sampling theory, signal processing, and digital filtering. It also discusses trends in chemometrics and identifies areas for future development. With summaries, solutions to problems, recommended reading, and references for each chapter, this text remains an essential resource for students, professionals, and researchers in the field.
Product Details

* Hardcover: 552 pages
* Publisher: CRC; 2 edition (April 16, 2006)
* Language: English
* ISBN-10: 1574447831
* ISBN-13: 978-1574447835

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Handbook of Parametric and Nonparametric Statistical Procedures, Third Edition

Editorial Reviews
Review
Sheshkin's handbook has been considered a standard in the field of applied statistics, and the new material in this edition makes it a very worthwhile book. … very organized and easy to follow. … This handbook is carefully edited, and is written in a clear, jargon-free style. … It is a useful reference book for practicing researcher as well as students who are just learning how to analyze statistics in a variety of fields. It is recommended for academic and special libraries, even libraries that already own the first or second edition of this title.
- E-Streams, Vol. 7, No. 10, October 2004

… useful to those wanting a single-volume reference on classical hypothesis tests…
- Journal of the Royal Statistical Society, Issue 167 (4)

The volume is potentially quite useful as a resource for finding something about a lot of different methods.
-Journal of the American Statistical Association

Book Description

The third edition of this best-selling handbook is a remarkable compendium of all the most commonly used classical statistical procedures encountered in practice and the literature. This edition comprises over 1200 pages presenting more than 130 tests--10 of which are completely new to this edition. Fifteen new examples, 23 new illustrations, and significant additions to the background material in Chapter 1 further enhance the book's coverage, accessibility, and value. Designed for beginners and seasoned researchers alike, this book helps users select the appropriate statistical analysis to use in the evaluation of data and clearly illustrates many of the computational procedures used for statistical tests.

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Product Details

* Hardcover: 1193 pages
* Publisher: Chapman & Hall/CRC; 3 edition (August 27, 2003)
* Language: English
* ISBN-10: 1584884401
* ISBN-13: 978-1584884408

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Kenneth Jenkins, «Teach Yourself Algebra for Electronic Circuits»

Kenneth Jenkins, «Teach Yourself Algebra for Electronic Circuits»
Publisher: McGraw-Hill/TAB Electronics | Aug 2001 | ISBN:0071381821 | Pages: 576 | PDF | 11.5 MB

Practical math to help you plan, design, and problem-solve electric circuits

The ideal tool for upgrading career-enhancing math skills, Teach Yourself Algebra for Electronic Circuits helps you learn the methods that support today’s technological growth and innovation. Author Ken Jenkins has put together a genuinely user-friendly tutorial. Every chapter is a self-contained unit, making it easier to find the answers you want and learn at your own pace – without flipping through pages, looking for connections or background. Learn or upgrade your skills with:

* Self-teaching text, complete with worked-out questions/solutions and final exams
*Math that goes beyond elementary algebra, without the burden of heavy-duty calculus you don’t need
* Circuit-focused applications, illustrations, and examples
* Special help with the algebra of logic and matrices
*Hundreds of practical problems with detailed solutions throughout the book
* Over 300 illustrations to help you learn quickly and easily

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Thursday, January 10, 2008

Modern Algebra with Applications 2nd Edition

A Course in Homological Algebra (Graduate Texts in Mathematics)

Abel's Theorem in Problems and Solutions: Based on the lectures of Professor V.I. Arnold - Reup.

Introduction to Topological Manifolds

Essential MATLAB for Engineers and Scientists, Third Edition

Modeling Biological Systems: Principles and Applications

Statistical Mechanics of Learning

The A to Z of Mathematics: A Basic Guide

Cognition and Multi-Agent Interaction: From Cognitive Modeling to Social Simulation by Ron Sun

Logic For Dummies

Advanced Modern Algebra - Reup.

Mark H. Holmes, «Introduction to Numerical Methods in Differential Equations» (Texts in Applied Mathematics)

Hans-Walter Bandemer, H. Bandemer, «Mathematics of Uncertainty: Ideas, Methods, Application Problems»

Discrete & Computational Geometry

Hugh Gordon, «Discrete Probability»

Survey Sampling: Theory and Methods, Second Edition

Think Like A Grandmaster: Algebraic Edition

Practical Guide to Chemometrics, Second Edition

Handbook of Parametric and Nonparametric Statistical Procedures, Third Edition

Kenneth Jenkins, «Teach Yourself Algebra for Electronic Circuits»

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