Motor Trend - July 2008

Motor Trend - July 2008
Pages: 162 | Motor Trend (07/2008) | PDF | 31.01MB

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Algorithms for VLSI Physical Design Automation

Algorithms for VLSI Physical Design Automation
Springer | 1995-06-30 | ISBN: 0792395921 | 568 pages | PDF | 25,5 MB

Algorithms for VLSI Physical Design Automation, Second Edition is a core reference text for graduate students and CAD professionals. Based on the very successful First Edition, it provides a comprehensive treatment of the principles and algorithms of VLSI physical design, presenting the concepts and algorithms in an intuitive manner. Each chapter contains 3-4 algorithms that are discussed in detail. Additional algorithms are presented in a somewhat shorter format. References to advanced algorithms are presented at the end of each chapter.
Algorithms for VLSI Physical Design Automation covers all aspects of physical design. In 1992, when the First Edition was published, the largest available microprocessor had one million transistors and was fabricated using three metal layers. Now we process with six metal layers, fabricating 15 million transistors on a chip. Designs are moving to the 500-700 MHz frequency goal. These stunning developments have significantly altered the VLSI field: over-the-cell routing and early floorplanning have come to occupy a central place in the physical design flow.
This Second Edition introduces a realistic picture to the reader, exposing the concerns facing the VLSI industry, while maintaining the theoretical flavor of the First Edition. New material has been added to all chapters, new sections have been added to most chapters, and a few chapters have been completely rewritten. The textual material is supplemented and clarified by many helpful figures.
Audience: An invaluable reference for professionals in layout, design automation and physical design.

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On The Study And Difficulties Of Mathematics

Augustus De Morgan “On The Study And Difficulties Of Mathematics"
Kessinger Publishing | 2004-04-30 | ISBN: 1417912014 | 300 pages | PDF | 16,3 MB

1910. Augustus De Morgan was an important innovator in the field of logic. In addition, he made many contributions to the field of mathematics and the chronicling of the history of mathematics. He writes in the Preface that his object has been to notice particularly several points in the principles of algebra and geometry, which have not obtained their due importance in our elementary works on these sciences. Contents: On Arithmetical Notation; Elementary Rules of Arithmetic; Arithmetical Fractions; Decimal Fractions; Algebraical Notation and Principles; Elementary Rules of Algebra; Equations of the First Degree; On the Negative Sign, etc.; Equations of the Second Degree; On Roots in General, and Logarithms; On the Study of Algebra; On the Definitions of Geometry; On Geometrical Reasoning; On Axioms; On Proportion; and Application of Algebra to the Measurement of Lines, Angles, Proportion of Figures and Surfaces. See other titles by this author available from Kessinger Publishing.

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Mathematical Asset Management

Thomas Höglund “Mathematical Asset Management"
Wiley-Interscience | 2008-04-18 | ISBN: 0470232870 | 222 pages | PDF | 7 MB

A practical approach to the mathematical tools needed to increase portfolio growth, learn successful trading strategies, and manage the risks associated with market fluctuation
Mathematical Asset Management presents an accessible and practical introduction to financial derivatives and portfolio selection while also acting as a basis for further study in mathematical finance.
Assuming a fundamental background in calculus, real analysis, and linear algebra, the book uses mathematical tools only as needed and provides comprehensive, yet concise, coverage of various topics, such as:

Interest rates and the connection between present value and arbitrage
Financial instruments beyond bonds that serve as building blocks for portfolios
Trading strategies and risk performance measures
Stochastic properties of stock prices
The difference between expected return and expected growth and the geometric Brownian motion
Diversification through the creation of optimal portfolios under various constraints
The use of the Capital Asset Pricing Model to accurately estimate the difference between the return of the market and the short rate
To further demonstrate the reality of the discussed concepts, the author analyzes five active stocks over a four-year period and highlights the different methods and portfolios that exist in today's economic world. Exercises are also provided throughout the text, along with the solutions, allowing readers to measure their understanding of presented techniques as well as see how the methods work in real life.

Mathematical Asset Management is an excellent book for courses in mathematical finance, actuarial mathematics, financial derivatives, and financial engineering at the upper-undergraduate and graduate levels. It is also a valuable reference for practitioners in banking, insurance, and asset management industries.

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Mathematical Statistics and Data Analysis

John A. Rice “Mathematical Statistics and Data Analysis"
Duxbury Press | 1994-06-01 | ISBN: 0534209343 | 672 pages | Djvu | 15,2 MB

This is the first text in a generation to re-examine the purpose of the mathematical statistics course. The book's approach interweaves traditional topics with data analysis and reflects the use of the computer with close ties to the practice of statistics. The author stresses analysis of data, examines real problems with real data, and motivates the theory. The book's descriptive statistics, graphical displays, and realistic applications stand in strong contrast to traditional texts which are set in abstract settings.

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Problems and Snapshots from the World of Probability

Gunnar Blom, Lars Holst, Dennis Sandell“Problems and Snapshots from the World of Probability"
Springer | 1993-12-02 | ISBN: 0387941614 | 256 pages | Djvu | 1,6 MB

This book comprises a collection of 125 problems and snapshots from discrete probability. The problems are selected on the basis of their historical interest whereas the snapshots provide quick overviews of topics in probability such as Markov chains, Poisson processes, random walks, patterns in random sequences, cover times, and embedding procedures. This book will appeal to all those who enjoy problems with probabilistic flavor. The authors presuppose a basic exposure to discrete mathematics and elementary probability. Students will find this a stimulating companion to their courses in probability. More advanced researchers will appreciate the original style of the problems, some of which may even inspire new areas for research.

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A First Course in Discrete Mathematics

A First Course in Discrete Mathematics
200 pages | Springer; 1 edition (December 12, 2000) | 1852332360 | PDF | 1 Mb

Discrete mathematics has now established its place in most undergraduate mathematics courses. This textbook provides a concise, readable and accessible introduction to a number of topics in this area, such as enumeration, graph theory, Latin squares and designs. It is aimed at second-year undergraduate mathematics students, and provides them with many of the basic techniques, ideas and results. It contains many worked examples, and each chapter ends with a large number of exercises, with hints or solutions provided for most of them. As well as including standard topics such as binomial coefficients, recurrence, the inclusion-exclusion principle, trees, Hamiltonian and Eulerian graphs, Latin squares and finite projective planes, the text also includes material on the ménage problem, magic squares, Catalan and Stirling numbers, and tournament schedules.

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Interactive Theorem Proving and Program Development

Yves Bertot, Pierre Castéran, Pierre CastTran “Interactive Theorem Proving and Program Development"
Springer | 2004-06-24 | ISBN: 3540208542 | 500 pages | Djvu | 1,8 MB

Coq is an interactive proof assistant for the development of mathematical theories and formally certified software. It is based on a theory called the calculus of inductive constructions, a variant of type theory.
This book provides a pragmatic introduction to the development of proofs and certified programs using Coq. With its large collection of examples and exercises it is an invaluable tool for researchers, students, and engineers interested in formal methods and the development of zero-fault software.

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A Mathematical Gift, 1: The Interplay Between Topology, Functions, Geometry, and Algebra (Mathematical World)

This book will bring the beauty and fun of mathematics to the classroom. It offers serious mathematics in a lively, reader-friendly style. Included are exercises and many figures illustrating the main concepts.

The first chapter presents the geometry and topology of surfaces. Among other topics, the authors discuss the Poincaré-Hopf theorem on critical points of vector fields on surfaces and the Gauss-Bonnet theorem on the relation between curvature and topology (the Euler characteristic). The second chapter addresses various aspects of the concept of dimension, including the Peano curve and the Poincaré approach. Also addressed is the structure of three-dimensional manifolds. In particular, it is proved that the three-dimensional sphere is the union of two doughnuts.

This is the first of three volumes originating from a series of lectures given by the authors at Kyoto University (Japan).

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Mathematics for the International Student: Mathematics HL - International Baccalaureate Diploma Programme

Paul Urban, John Owen, Robert Haese “Mathematics for the International Student: Mathematics HL - International Baccalaureate Diploma Programme"
Haese & Harris Publications | 2004-08-31 | ISBN: 1876543094 | 960 pages | PDF | 9,6 Mb

Mathematics for the International Student: Mathematics HL (International Baccalaureate Diploma Programme) is our interpretation of the concepts outlined in the IBO Diploma Programme Mathematics HL Guide (first examinations 2006). It is not our intention to define the course, and teachers are encouraged to use other resources. We have developed the book independently of the International Baccalaureate Organization (IBO) in consultation with many experienced teachers of IB Mathematics, but the text is not endorsed by the IBO.
For the first year, it is suggested that students work progressively from Chapter 1 through to Chapter 21, but not necessarily including chapters 8, 16, 17. Chapter 10 ‘Mathematical Induction’ could also be attempted later, perhaps early in Year 12. Traditionally, the topics of Polynomials, Complex Numbers, 3-D Vector Geometry and Calculus are not covered until the final year of school.
However, it is acknowledged that there is no single best way for all teachers to work through the syllabus and by offering one book for the HL course, teachers have the flexibility to teach the 2-year course in whatever order they choose.
The extensive use of graphics calculators and computer packages throughout our books enables students to appreciate the importance, application and appropriate use of technology. No single aspect of technology has been favoured. It is as important that students work with a pen and paper as it is that they use their calculator or graphics calculator, or use a spreadsheet or graphing package on computer.

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Mathematics: A Concise History and Philosophy

Mathematics: A Concise History and Philosophy
Springer | Pages: 261 | 1996-04-04 | ISBN: 0387942807 | PDF | 3 Mb

This is a concise introductory textbook for a one semester course in the history and philosophy of mathematics. It is written for mathematics majors, philosophy students, history of science students and secondary school mathematics teachers. The only prerequisite is a solid command of pre-calculus mathematics. It is shorter than the standard textbooks in that area and thus more accessible to students who have trouble coping with vast amounts of reading. Furthermore, there are many detailed explanations of the important mathematical procedures actually used by famous mathematicians, giving more mathematically talented students a greater opportunity to learn the history and philosophy by way of problem solving. Several important philosophical topics are pursued throughout the text, giving the student an opportunity to come to a full and consistent knowledge of their development. These topics include infinity, the nature of motion, and Platonism. This book offers, in fewer pages, a deep penetration into the key mathematical and philosophical aspects of the history of mathematics.

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Understanding Mathematics and Science Matters

Understanding Mathematics and Science Matters
Lawrence Erlbaum | Pages: 352 | 2005-02 | ISBN: 0805846956 | PDF | 5 Mb

Presents reliable evidence on and knowledge about forms of mathematics and science instruction that focus on teaching for understanding and the empirical development of conceptual frameworks.

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The Mathematical Century: The 30 Greatest Problems of the Last 100 Year

Piergiorgio Odifreddi, "The Mathematical Century: The 30 Greatest Problems of the Last 100 Year"
Princeton University Press | ISBN 069109294X | Year 2004 | 224 pages | DjVu | 1.6 MB

Ben Longstaff, New Scientist
"The Mathematical Century gives us his selection of the subject's crowning achievements since 1900".

Review
Ben Longstaff New Scientist : Odifreddi's overview is of course a personal one, but it is hard to argue with either his choices or his organization. This is a perfect handle on an otherwise bewildering proliferation of ideas.

Library Journal : Odifreddi clearly and concisely describes important 20th-century developments in pure and applied mathematics. . . . Unlike similar volumes, this book keeps descriptions general and contains a short section on the philosophical foundations of mathematics to help non-mathematicians easily navigate the material.

Paul Campbell Mathematics Magazine : This is an astonishingly readable, succinct, and wonderful account of twentieth-century mathematics! It is a great book for mathematics majors, students in liberal-arts courses in mathematics, and the general public. I am amazed at how easily the author has set out the achievements in a broad array of mathematical fields. The writing appears effortless.

P.N. Ruane MathDL : Piergiogio Odifreddi's book successfully portrays the major developments in 20th century mathematics by an examination of the mathematical problems that have gained prominence during the past 100 years. . . . [T]he literary style is such that the contents are made accessible to a very wide readership, but with no hint of oversimplification.

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Matrix Preconditioning Techniques and Applications

by Ke Chen "Matrix Preconditioning Techniques and Applications"
Cambridge University Press | Pages: 568 | 2005-07-25 | ISBN:0521838282 | PDF | 4 Mb

Preconditioning techniques have emerged as an essential part of successful and efficient iterative solutions of matrices. Ke Chen's book offers a comprehensive introduction to these methods. A vast range of explicit and implicit sparse preconditioners are covered, including the conjugate gradient, multi-level and fast multi-pole methods, matrix and operator splitting, fast Fourier and wavelet transforms, incomplete LU and domain decomposition, Schur complements and approximate inverses. In addition, aspects of parallel realization using the MPI are discussed. Very much a users-guide, the book provides insight to the use of these techniques in areas such as acoustic wave scattering, image restoration and bifurcation problems in electrical power stations. Supporting MATLAB files are available from the Web to support and develop readers' understanding, and provide stimulus for further study. Pitched at graduate level, the book is intended to serve as a useful guide and reference for students, computational practitioners, engineers and researchers alike.

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The Golden Ratio and Fibonacci Numbers

R. A. Dunlap “The Golden Ratio and Fibonacci Numbers"
World Scientific Publishing Company | 1998-03 | ISBN: 9810232640 | 162 pages | PDF | 6,1 Mb

Informative text provides a general introduction to the golden ratio and Fibonacci numbers for those researchers and graduate students who are working in fields where these numbers have found applications. DLC: Golden section.

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Discrete Mathematics - First edition

By James L. Hein "Discrete Mathematics - First edition"
Jones & Bartlett Publishers | Pages: 656 | 1996-01-05 | ISBN:0867204966 | DJVU | 3 Mb

Book Description:

This text offers a unique treatment of discrete mathematics; it is organized by technique rather than topic focusing students on the construction and computation of objects. The text introduces algebras that directly apply to computer science; in addition to Boolean algebra, abstract data types are introduced as algebras and computational algebras.

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James G. Simmonds, "

James G. Simmonds, "A Brief on Tensor Analysis"
Springer | ISBN: 038794088X | (July 31, 1997) | DJVU | 112 pages | 3.2 MB

“

This new edition is intended for third and fourth year undergraduates in Engineering, Physics, Mathematics, and the Applied Sciences, and can serve as a springboard for further work in Continuum Mechanics or General Relativity. Starting from a basic knowledge of calculus and matrix algebra, together with fundamental ideas from mechanics and geometry, the text gradually develops the tools for formulating and manipulating the field equations of Continuum Mechanics. The mathematics of tensor analysis is introduced in well-separated stages: the concept of a tensor as an operator; the representation of a tensor in terms of its Cartesian components; the components of a tensor relative to a general basis, tensor notation, and finally, tensor calculus. The physical interpretation and application of vectors and tensors are stressed throughout. Though concise, the text is written in an informal, non-intimidating style enhanced by worked-out problems and a meaningful variety of exercises. The new edition includes more exercises, especially at the end of chapter IV. Furthermore, the author has appended a section on Differential Geometry, the essential mathematical tool in the study of the 2-dimensional structural shells and 4-dimensional general relativity.

”

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The Mathematics of Games and Gambling

Edward Packel “The Mathematics of Games and Gambling"
The Mathematical Association of America | 1996-09-05 | ISBN: 088385628X | 151 pages | Djvu | 1,5 Mb

You can't lose with this MAA Book Prize winner if you want to see how mathematics can be used to analyze games of chance and skill. Roulette, craps, blackjack, backgammon, poker, bridge, lotteries and horse races are considered here in a way that reveals their mathematical aspects. The tools used include probability, expectation, and game theory. No prerequisites are needed beyond high school algebra. No book can guarantee good luck, but this book will show you what determines the best bet in a game of chance or the optimal strategy in a strategic game. Besides being an excellent supplement to a course on probability and good bed-side reading, this book's treatment of lotteries should save the reader some money.

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Mathematics of Choice: Or, How to Count Without Counting

Ivan Morton Niven “Mathematics of Choice: Or, How to Count Without Counting"
Mathematical Assn of America | 1975-07 | ISBN: 0883856158 | 202 pages | Djvu | 1,4 Mb

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