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Book SynopsisTrade ReviewHayduk is equally at ease explaining the simplest and most advanced applications of the program... Hayduk has written more than just a solid text for use in advanced graduate courses on statistical modeling. Those with a firm mathematical background who wish to learn about the approach, or those who know a little about the program and want to know more, will find this an excellent reference. American Journal of Sociology This is a fine book for providing persons who have a basic knowledge of regression and matrix algebra with a detailed understanding of LISREL. It is strong on explanation, on clarity, and on breadth of coverage. Contemporary PsychologyTable of ContentsPrefaceAcknowledgmentsChapter 1. Getting Started1.1 Means, variances, and covariance1.2 Thinking about covariances, variances, and means1.3 Expectations and equations1.4 Structural equation modelsChapter 2. Traditional Basics2.1 Fitting a line into a scatterplot2.2 Regression in the context of Chapter 12.3 Multiple regression2.4 Colinearity2.5 Interaction2.6 Nonlinearity Chapter 3. The New Basics3.1 A touch of matrix algebra3.2 Derivatives in a few easy pagesChapter 4. In the Beginning4.1 A new way of thinking. latent versus measured variables in causal modes4.2 LISREL is Greek to me!4.3 A real model. smoking behavior and antismoking acts4.4 A model implies a sigma ()4.5 Scaling and reliability4.6 Restrictions on model specificationChapter 5. Estimating Structural Coefficients with Maximum Likelihood Estimation5.1 Maximum likelihood estimation5.2 Making approximate S5.3 Identification and colinearity5.4 On simplifying models5.5 In closingChapter 6. Hitting Paydirt6.1 Chi-square6.2 Residuals6.3 Fitting better than the competition6.4 Significance of structural coefficients6.5 Partial derivatives and their uses6.6 Standardized solutionsChapter 7. Becoming a LISRELITE. Some Tricks of the Trade and Learning to Play7.1 Four simple replacements7.2 Moving into and rethinking the distinction between exogenous/endogenous7.3 Multiple indicators7.4 Nonlinearity among the concepts7.5 Interaction among the conceptsChapter 8. Interpreting It All8.1 The Basics8.2 General matrix formulas8.3 Two extensions of effect decompositions8.4 On developing equivalent models (effect recomposition)8.5 Interpreting the smoking model with an inserted loop8.6 SummaryChapter 9. More and Better9.1 Stacked models for multiple groups9.2 Modeling meansChapter 10. Odds and Endings10.1 Old Beta10.2 LISREL in SPSSX and pairwise matrices10.3Some data-related issues 10.4 Locating what is wrong in a program10.5 Alternative estimation strategies10.6 A guide to the literature10.7 The end AppendicesAppendix A. Summation NotationAppendix B. LISREL Output for the Smoking ModelAppendix C. LISREL Output with Multiple IndicatorsAppendix D. The Moment Matrix Fit FunctionBibliographyIndex

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Book SynopsisStudents will find this book a useful aid to learning the unfamiliar mathematical aspects of stochastic processes while applying them to physical processes that he or she has already encountered.Trade ReviewStudents will love this book. It tells them without fuss how to do simple and useful numerical calculations, with just enough background to understand what they are doing... a refreshingly brief and unconvoluted work. -- Vinay Ambegaokar American Journal of Physics The book is very clearly set out and very easy to read. Undergraduate students and those wishing to learn about stochastic processes for the first time would enjoy the clear pedagogic presentation. -- B.I. Henry The Physicist [ An Introduction to Stochastic Processes in Physics] presents fundamental ideas with admirable clarity and concision. The author presents in about 100 pages enough material for the student to appreciate the very different natures of stochastic and sure processes and to solve simple but important problems involving noise. Any physicist wondering what noise is about would be well advised to pack Lemons' books for their next train journey. -- Professor S.M. Barnett Contemporary Physics Self-contained and provides adequate insight into stochastic processes in physics. It is quite readable and will be useful to students interested in learning about stochastic processes and their relevance in understanding the physical phenomena. It also provides teachers a good approach to communicate the essence of the subject to students. -- Suresh V. Lawande Mathematical ReviewsTable of ContentsContents: Preface and Acknowledgments Chapter 1: Random Variables Chapter 2: Expected Values Chapter 3: Random Steps Chapter 4: Continuous Random Variables Chapter 5: Normal Variable Theorems Chapter 6: Einstein's Brownian Motion Chapter 7: Ornstein-Uhlenbeck Processes Chapter 8: Langevin's Brownian Motion Chapter 9: Other Physical Processes Chapter 10: Fluctuations without Dissipation Appendix A: "On the Theory of Brownian Motion," by Paul Langevin, translated by Anthony Gythiel Appendix B: Kinetic Equations Answers to Problems References Index

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Book SynopsisCovering such subjects as astronomy, magnetism, optics, sound, heat, mechanics, waves, and electricity, the book provides a rich source of material for teachers and anyone interested in the physics of everyday life.Trade ReviewThis delightfully broad spectrum of 104 familiar situations, each one or two pages long, includes the terminal velocity of falling objects, fatal impacts during car wrecks, timing to find the distance of lightning strikes, investigating the size and power of binoculars, and the height of Earth's atmosphere... For the well-grounded physics enthusiast. Choice 2004 A physics educator's coffee-table book-a delightful and instructive accessory to an introductory physics course. Physics World Physicists young and old should follow Fermi and Swartz and hone a competency for back-of-the-envelope physics. -- Robert K. Adair Physics Today 2004 An entertaining new book Back-of-the-Envelope Physics by Clifford Swartz nicely provides material to assist students (and teachers!) gain experience in handling real-world physics. -- Colin Keay The Physicist 2004Table of ContentsContents:Preface Note to the Reader: Units and ApproximationsCHAPTER 1 Force and Pressure Bed of Nails Simple Thumbtack Horsepower Buoyancy in Air How Dense Is the Ocean? Washbowls and Coriolis Force Points of Contact Atmospheric Force Weighing Your Car Well and Water Tower Pressure of Sunlight Squashed Tennis Ball Recoil Fatal Impulse Relative Gravitational Weakness Strong Fields Airplane LiftCHAPTER 2 Mechanics and Rotation Terminal Velocity The Unlikely Game of Baseball Human Levers Angular Momenta The Twirling Skater Rotating Water Pail Grandfather Clock Arm and Leg Pendulums Precession of a Bicycle Wheel Car Springs Carousels and Rotors Banked Road Conical PendulumCHAPTER 3 Sound and Waves Speed of Sound Tsunamis and Ripples Cold Flat Music Thunder and Lightning Wavelengths of Familiar Sounds Scales and Chords The Sound of Coke The Sensitive Ear of Visible Sight v=c; hv= E Trains and Doppler ShiftCHAPTER 4 Heat Human Heaters Negative Calorie Diet The Moral of the Tail Ice Skating Thermal Expansion Power Plant EfficiencyCHAPTER 5 Optics Microscope Constraints Binocular Size and Power Seeing under Water Candle PowerCHAPTER 6 Electricity Electrostatic Charge on a Balloon Capacitors Capacitance of Spheres Electric Field in a Wire Electron Drift Speed Unfamiliar Currents High Cost of Battery Electricity Magnet Strength Matching Earth's B Field Hanging Wire Energy Storage in L and C Jump-Rope Generator Q of a Crystal Radio E and B from a Lightbulb Toaster Power Magnetic Resonance ImagingCHAPTER 7 Earth Radius of Earth Geography and Weight Height of Atmosphere Depth of Earth's Gravity Field Mountain Height Earth Orbits Escape Energy from Earth Precession of the Equinoxes Hole through the Earth Slowing of the Earth's Rotation Mass of Earth's Gravitational FieldCHAPTER 8 Astronomy Diameter of Sun and Moon Minimum Distance to Nearest Star Pressure of Sunlight How Many Photons to See a Faint Star? Fueling the Sun Age of the Elements The 21 cm Line The Prodigal SunCHAPTER 9 Atoms and Molecules All atoms Are (About) the Same Size Density if Air Molecular Spacing in a Gas Molar Energy Latent Heat of Fusion and Vaporization Surface Tension Binding Force between Atoms Atomic Spring ConstantCHAPTER 10 Particles and Quanta Uncertainties of Photons and Mesons Valence Electrons Can Electrons Reside in the Nucleus? Lucky Millikan Nuclear Repulsion Cyclotron Synchrotron-Loss and Gain Quantized Molecular Levels Molecular Rotation Energy

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Book SynopsisWhether you drive a Pacer or a Porsche, The Isaac Newton School of Driving offers better-and better-informed-driving through physics.Trade ReviewParker grew up a mechanic's son and is as comfortable discussing gear sets and weight transfer as he is explaining the formula for determining the force of drag on a vehicle at any given speed. You don't need to be an engineer to read and enjoy Parker's often entertaining book that covers everything from the basics of engines and electronics to crashes and congestion. And after learning about Wd=Fh/R, you will likely be a better driver. RATING: Three and 1/2 [out of four] helmets. -- Larry Edsall Autoweek 2004 Parker's entertaining book is not a heavy tome replete with complex mathematical formulas-nothing more complex than high school physics. What The Isaac Newton School of Driving answers is the annoying complaint every teacher or parent hears from a teenager: 'I'll never use all this (insert expletive) in real life!'. -- Terry Jackson AMI Auto World Magazine Contains examples of practical technology that would certainly enhance and extend many courses... written in a lighthearted manner that is successful and appealing. -- Hal Harris 21 C: Scanning the Future A comprehensive look at the fundamental elements of the driving experience... The author enlivens many difficult concepts with clear, comfortable explanations... Whether a reader is looking for simple applications or the physics of high performance racing vehicles, this book will make any reader pause and think about the science of their car and driving. -- Charles James National Science Teachers Association Recommends Barry Parker has written an intriguing book... The Isaac Newton School of Driving has a definite flair and keeps the reader interested. -- Henry J. P. Smith Industrial Physicist 2004 The discussions are clear and the physics is correct. Choice 2004Table of ContentsContents:Chapter 1 Introduction Chapter 2 The Open Road: Basic Physics of Driving Chapter 3 All Revved Up: The Internal Combustion Engine Chapter 4 When Sparks Fly: The Electrical System Chapter 5 "Give 'em a Brake": Slowing Down Chapter 6 Springs and Gears: The Suspension System and the Transmission Chapter 7 What a Drag: Aerodynamic Design Chapter 8 A Crash Course: The Physics of Collisions Chapter 9 Checkered Flags: The Physics of Auto Racing Chapter 10 Rush Hour: Traffic and Chaos Chapter 11 The Road Ahead: Cars of the Future Chapter 12 Epilogue: The Final Flag

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Book SynopsisAs we evolve from unquantified ignorance to an imperfect but everpresent state of measured awareness, Henshaw gives us a critical perspective from which we can measure upthe measurements that have come to affect our lives so greatly.Trade ReviewAcademic but accessible to the general reader. Scitech Book News 2006 Well written, entertaining, and informative. -- Luiz Henrique de Figueiredo MAA Reviews 2006 Henshaw has a remarkable ability to explain complex mathematics in a manner accessible to general readers. -- Judy Randle Tulsa World 2006 Clear and well written. -- Terry Ishihara Science Books and Films 2006 The book is fun to read... Recommended. Choice 2007 Best of 2006. Library Journal 2007 It is easy to read, and Henshaw has a pleasant style of throwing himself into the action. PsycCRITIQUES 2007Table of ContentsPrefaceAcknowledgments1. Of Love and Luminescene: What, Why, and How Things Get Measured2. Doing the Math: Scales, Standards, and Some Beautiful Measurements3. The Ratings Game: ''Overall'' Measurements and Rankings4. Measurement in Business: What Gets Measured Gets Done5. Games of Inches: Sports and Measurement6. Measuring the Mind: Intelligence, Biology, and Education7. Man: The Measure of All Things8. It's Not Just the Heat, it's the Humidity: Global Warming and Environmental Measurement9. Garbage In, Garbage Out: The Computer and Measurement10. How Funny Is That? Knowledge Without Measurement?11. Faith, Hope, and Love: The Future of Measuremen—and of KnowledgetReferencesIndex

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Book SynopsisThe book features end-of-chapter practice problems, an appendix of worked problems, a glossary of terms, and an annotated bibliography.Trade ReviewMere Thermodynamics is a good learning tool for students, and it's an interesting and thought-provoking book for educators and professionals. American Journal of Physics This book is a little gem. Lemons has a lightness of touch that belies the weight of thought he has given to this subject and how to present it in a non trivial way to a beginner. No awkward corner is avoided or ignored, and the whole piece is touched by enthusiasm, clarity, a central awareness of its relevance to the real world. -- Peter Sammut Physics Education Lucidly written and enjoyable to read... An interesting and informative supplement to other textbooks. Times Higher Education SupplementTable of ContentsPreface1. Definitions1.1. Thermodynamics1.2. System1.3. Boundary, Environment, and Interactions1.4. States and State Variables1.5. Equations of State1.6. Work1.7. HeatProblems2. Equilibrium2.1. Equilibrium2.2. Zeroth Law of Thermodynamics2.3. Empirical Temperature2.4. Traditional Temperature Scales2.5. Equilibrium ProcessesProblems3. Heat3.1. Quantifying Heat3.2. Calorimetry3.3. What is Heat?Problems4. The First Law4.1. Count Rumford4.2. Joule's Experiments4.3. The First Law of Thermodynamics4.4. Thermodynamic Cycles4.5. Cycle AdjustmentProblems5. The Second Law5.1. Sadi Carnot5.2. Statements of the Second Law5.3. Equivalence and Inequivalence5.4. Reversible Heat Engines5.5. Refrigerators and Heat PumpsProblems6. The First and Second Laws6.1. Rudolph Clausius6.2. Thermodynamic Temperature6.3. Clausius's TheoremProblems7. Entropy7.1. The Meaning of Reversibility7.2. Entropy7.3. Entropy Generation in Irreversible Processes7.4. The Entropy Generator7.5. Entropy Corollaries7.6. Thermodynamic Arrow of TimeProblems8. Fluid Variables8.1. What Is a Fluid?8.2. Reversible Work8.3. Fundamental Constraint8.4. Enthalpy8.5. Helmholtz and Gibbs Free Energies8.6. Partial Derivative Rules8.4. Thermodynamic Coeffi cients8.8. Heat CapacitiesProblems9. Simple Fluid Systems9.1. The Ideal Gas9.2. Room-Temperature Elastic Solid9.3. Cavity RadiationProblems10. Nonfluid Systems10.1. Nonfluid Variables10.2. The Theoretician's Rubber Band10.3. Paramagnetism10.4. Surfaces10.5. Chemical Potential10.6. Multivariate SystemsProblems11. Equilibrium and Stability11.1. Mechanical and Thermal Systems11.2. Principle of Maximum Entropy11.3. Other Stability Criteria11.4. Intrinsic Stability of a FluidProblems12. Two-Phase Systems12.1. Phase Diagrams12.2. Van der Waals Equation of State12.3. Two-Phase Transition12.4. Maxwell Construction12.5. Clausius-Clapeyron Equation12.6. Critical PointProblems13. The Third Law13.1. The Principle of Thomsen and Berthelot13.2. Entropy Change13.3. Unattainability13.4. Absolute EntropyProblemsAppendixesA. Physical Constants and Standard DefinitionsB. Catalog of 21 Simple CyclesC. Glossary of TermsD. Selected Worked ProblemsE. Answers to ProblemsAnnotated BibliographyIndex

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Book SynopsisAll historians of mathematics and students of the field will want a copy of this remarkable resource on their bookshelves.Trade ReviewHere, Grattan-Guinness, one of the world's leading mathematics historians, has written the seminal how-to-book for the history of mathematics... This reviewer found the book hard to put down. Choice 2010 In spite of the great variation in themes, the book is quite coherent and gives anyone dealing with the history of mathematics food for thought. -- Teun Koetsier History and Philosophy of Logic 2010Table of ContentsPreface1. Searching for Reasons: My Way In and OnwardPart I: Highways in the History of Mathematics2. The Mathematics of the Past: Distinguishing Its History from Our Heritage3. Decline, Then Recovery: An Overview of Activity in the History of Mathematics during the Twentieth Century4. On Certain Somewhat Neglected Features of the History of Mathematics5. General Histories of Mathematics? Of Use? To Whom?6. Too Mathematical for Historians, Too Historicalfor Mathematicians7. History of Science Journals: "To Be Useful, and to the Living"?8. Scientific Revolutions as Convolutions? A Skeptical InquiryPart 2: Pathways in Mathematics Education9. On the Relevance of the History of Mathematics to Mathematical Education10. Achilles Is Still Running11. Numbers, Magnitudes, Ratios, and Proportions in Euclid's Elements: How Did He Handle Them?12. Some Neglected Niches in the Understanding and Teaching of Numbers and Number Systems13. What Was and What Should Be the Calculus?Part 3: Byways in Mathematics and its Culture14. Manifestations of Mathematics in and around the Christianities: Some Examples and Issues15. Christianity and Mathematics: Kinds of Links, and the Rare Occurrences after 175016. Mozart 18, Beethoven 32: Hidden Shadows of Integers in Classical Music17. Lagrange and Mozart as Critics of DescartesPart 4: Lollipops18. Four Pretty but Little-Known Theorems Involving the TriangleIndex

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Book SynopsisWith more than 150 exercises, Regression Estimators is a valuable resource for graduate students and professional statisticians.Trade Review"A comprehensive treatment... valuable to statisticians who would like to know more about the analytical properties of ridge-type estimators." - Journal of the American Statistical Association "Highly recommended to anyone working on advanced applications or research in estimation in linear models." - Technometrics"Table of ContentsPrefacePart I: Introduction and Mathematical Preliminaries1. Introduction1.1. The Purpose of This Book1.2. Least Square Estimators and the Need for Alternatives1.3. Historical Survey1.4. The Structure of the Book2. Mathematical and Statistical Preliminaries2.0. Introduction2.1. Matrix Theory Results2.2. The Bayes Estimator (BE)2.3. Admissible Estimators2.4. The Minimax Estimator2.5. Criterion for Comparing Estimators: Theobald's 1974 Result2.6. Some Useful Inequalities: Some Miscellaneous Useful Matrix Results2.7. SummaryPart II: The Estimators, Their Derivations, and Their Relationships3. The Estimators3.0. The Least Square Estimator and Its Properties3.1. The Generalized Ridge Regression Estimator3.2. The Mixed Estimators3.3. The Linear Minimax Estimator3.4. The Bayes Estimator3.6. Summary4. How the Different Estimators Are Related4.0. Introduction4.1. Alternative Forms of the Bayes Estimator Full-Rank Case4.2. Alternative Forms of the Bayes Estimator Non-Full-Rank Case Estimable Parametric Functions4.3. Equivalence of the Generalized Ridge Estimator and the BayesEstimator4.4. Equivalence of the Mixed Estimator and the Bayes Estimator4.5. Ridge Estimators in the Literature as Special Cases of the BE, Minimax Estimators, or Mixed Estimators4.6. An Extension of the Gauss-Markov Theorem4.7. Generalities4.8. SummaryPart III: Comparing the Efficiency of the Estimators5. Measures of Efficiency of the Estimators5.0. Introduction5.1. The Different Kinds of Mean Square Error5.2. Zellner's Balanced Loss Function5.3. The LINEX Loss Function5.4. Linear Admissibility5.5. Summary6. The Average Mean Square Error6.0. Introduction6.1. The Forms of the MSE for the Minimax, Bayes, and Mixed Estimators6.2. The Relationship between the Average Variance and the MSE6.3. The Average MSE of the Bayes Estimator6.4. Alternative Forms of the MSE of the Mixed Estimator6.5. Comparison of the MSE of Different BEs6.6. Comparison of the MSE of the Ridge and Contraction Estimators6.7. Comparison of the Average MSE of the Two-Parameter Liu Estimator and the Ordinary Ridge Regression Estimator6.8. Summary7. The MSE Neglecting the Prior Assumptions7.0. Introduction7.1. The MSE of the BE7.2. The MSE of the Mixed Estimators Neglecting PriorAssumptions7.3. Comparison of the Conditional MSE of the Bayes and Least Square Estimators and Comparison of the Conditional and Average MSE7.4. Comparison of the MSE of a Mixed Estimator with That of the LS Estimators7.5. Comparison of the MSE of Two Bayes Estimators7.6. Summary8. The MSE for Incorrect Prior Assumptions8.0. Introduction8.1. The Bayes Estimator and Its MSE8.2. The Minimax Estimator8.3. The Mixed Estimator8.4. Contaminated Priors8.5. Contaminated (Mixed) Bayes Estimators8.6. SummaryPart IV: Applications9. The Kalman Filter9.0. Introduction9.1. The Kalman Filter as a Bayes Estimator9.2. The Kalman Filter as a Recursive Least Square Estimator,and the Connection with the Mixed Estimator9.3. The Minimax Estimator9.4. The Generalized Ridge Estimator9.5. The Average Mean Square Error9.6. The MSE for Incorrect Initial Prior Assumptions9.7. Applications9.8. Recursive Ridge Regression9.9. Summary10. Experimental Design Models10.0. Introduction10.1. The One-Way ANOVA Model10.2. The Bayes and Empirical Bayes Estimators10.3. The Two- Way Classification10.4. The Bayes and Empirical Bayes Estimators10.5. SummaryAppendix to Section 10.2. Calculation of the MSE of Section 10.211. How Penalized Splines and Ridge- Type EstimatorsAre Related11.0. Introduction11.1. Splines as a Special Kind of Regression Model11.2. Penalized Splines11.3. The Best Linear Unbiased Predictor (BLUP)11.4. Two Examples11.5. SummaryPart V: Alternative Measures of Efficiency12. Estimation Using Zellner's Balanced Loss Function12.0. Introduction12.1. Zellner's Balanced Loss Function12.2. The Estimators from Different Points of View12.3. The Average Mean Square Error12.4. The Risk without Averaging over a Prior Distribution12.5. Some Optimal Ridge Estimators12.6. Summary13. The LINEX and Other Asymmetric Loss Functions13.0. Introduction13.1. The LINEX Loss Function13.2. The Bayes Risk for a Regression Estimator13.3. The Frequentist Risk13.4. Summary14. Distances between Ridge-Type Estimators, andInformation Geometry14.0. Introduction14.1. The Relevant Differential Geometry14.2. The Distance between Two Linear Bayes Estimators, Based on the Prior Distributions14.3. The Distance between Distributions of Ridge-Type Estimators from a Non-Bayesian Point of View14.4. Distances between the Mixed Estimators14.5. An Example Using the Kalman Filter14.6. SummaryReferencesAuthor IndexSubject Index

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Book SynopsisThose new to bioscience research as well as experienced practitioners will find that Mouton's explanations are the perfect companion for stereology courses and workshops.Trade Review"An excellent textbook for practical applications of the theoretically rigorous methods of state-of-art unbiased stereology." (Arun M. Gokhale, Georgia Institute of Technology)"Table of ContentsPreface1. Elias Coins A Word2. Solid 3D Objects3. Regional Volume Estimation4. Area Estimation by Point Counting5. Probe Object Intersections6. Volume by Cavalieri Point Counting7. Accuracy and Precision8. From 2D to 3D9. Surface Area and Length10. Total Object Number11. Rare Events12. Local Size Estimators13. Do More, Less Well14. Uncertainty15. Computerized Stereology Systems16. A Survey of Tissue17. Peer Review ConsiderationsAppendix: Conceptual Framework for Organic StereologyGlossaryBibliographyIndex

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Book SynopsisThis is a new account of mathematics-as-language that challenges the coherence of the accepted idea of infinity and suggests a startlingly new conception of counting.Trade Review"Rotman uses semiotics to focus on the infinite and the meaning of the mathematician's ellipsis. . . . He argues persuasively that a constructive model of the infinite is inherent in the literary acts of mathematicians."—ChoiceTable of ContentsCONTENTS ABSTRACT ...1 ...2 ...3 ...4 ...5 ...6 APPENDIX

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Book SynopsisThis title argues that a new way of speaking of mathematics and describing it emerged at the end of the 16th century. Leading mathematicians like Hariot, Stevin, Galileo and Cavalieri began referring to their field in terms drawn from the exploration accounts of Columbus and Magellan.Trade Review“This is one of the most important books to appear in the history of early modern science. Moving into an uncharted field, namely mathematics and the turn toward infinitesimals, Alexander develops a controversial argument—and that is a tribute to its originality. This is a work of singular importance that will be discussed for years to come.”—Margaret C. Jacob, University of California, Los Angeles“A short review cannot do justice to this exceptional, seminal work. Through meticulous interpretation of the writings of mainly English authors from the age of discovery, Alexander develops a new and illuminating perspective on the maritime, mathematical, and scientific explorations of that age...An invaluable work.”—CHOICE

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Book SynopsisThis book demonstrates how, in the Europe of the seventeenth and eighteenth centuries, literary writers, philosophers, and mathematicians together developed and shaped the idea of modern probability, both scientifically and aesthetically.Trade Review"Wiggin's translation of this demanding critical text is clear and accessible."—Richard Langer, The Year's Work in English Studies"Campe's book is a recommendable and laudable cross-disciplinary enquiry into the aesthetic, theological, philosophical, literary and mathematical developments that circumscribe the notion of modern probability as a highly complex phenomenon."—Laura Søvsø Thomasen and Henrik Kragh Sørensen, British Journal for the History of Science"Readers who have studied other histories containing views of the probability of this period will find considerable, and refreshing, additional material here. For instance, Campe considers, as contributors to the probabilistic revolution, mathematicians, moral theologians, jurists, natural scientists, rhetoricians and logicians, the insurance industry, economists, and civil servants . . . [The Game of Probability] is a work that repays serious study with many illuminating moments, adding as it does not only to readers' probabilistic knowledge but also to their appreciation of the early novel. Campe sheds light on the emergence of probability as we now see it: not only its development from gaming, but also its necessary development through literature and jurisprudence. The book, exhibiting great scholarship, is not a history of probability and statistics, but nevertheless forms an important addition to works on that topic."—A. I. Dale, Mathematical Reviews"Rüdiger Campe's The Game of Probability lays out—for the first time and in all its complexity—a semantic field crucial to our modernity: to our social and juridical modernity, to our scientific and mathematical modernity, to our literary modernity. The breadth and depth of learning upon which this book rests will make it an invaluable resource for scholars across the historical-humanistic disciplines and the bright light generated by its readings will illuminate countless research projects. This marvelous book belongs among the most distinguished publications to have emerged out of cultural studies in Germany during the past thirty years."—David E. Wellbery University of Chicago

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Book SynopsisThere exist literary histories of probability and scientific histories of probability, but it has generally been thought that the two did not meet. Campe begs to differ. Mathematical probability, he argues, took over the role of the old probability of poets, orators, and logicians, albeit in scientific terms. Indeed, mathematical probability would not even have been possible without the other probability, whose roots lay in classical antiquity. The Game of Probability revisits the seventeenth and eighteenth-century probabilistic revolution, providing a history of the relations between mathematical and rhetorical techniques, between the scientific and the aesthetic. This was a revolution that overthrew the order of things, notably the way that science and art positioned themselves with respect to reality, and its participants included a wide variety of people from as many walks of life. Campe devotes chapters to them in turn. Focusing on the interpretation of games of cTrade Review"Wiggin's translation of this demanding critical text is clear and accessible."—Richard Langer, The Year's Work in English Studies"Campe's book is a recommendable and laudable cross-disciplinary enquiry into the aesthetic, theological, philosophical, literary and mathematical developments that circumscribe the notion of modern probability as a highly complex phenomenon."—Laura Søvsø Thomasen and Henrik Kragh Sørensen, British Journal for the History of Science"Readers who have studied other histories containing views of the probability of this period will find considerable, and refreshing, additional material here. For instance, Campe considers, as contributors to the probabilistic revolution, mathematicians, moral theologians, jurists, natural scientists, rhetoricians and logicians, the insurance industry, economists, and civil servants . . . [The Game of Probability] is a work that repays serious study with many illuminating moments, adding as it does not only to readers' probabilistic knowledge but also to their appreciation of the early novel. Campe sheds light on the emergence of probability as we now see it: not only its development from gaming, but also its necessary development through literature and jurisprudence. The book, exhibiting great scholarship, is not a history of probability and statistics, but nevertheless forms an important addition to works on that topic."—A. I. Dale, Mathematical Reviews"Rüdiger Campe's The Game of Probability lays out—for the first time and in all its complexity—a semantic field crucial to our modernity: to our social and juridical modernity, to our scientific and mathematical modernity, to our literary modernity. The breadth and depth of learning upon which this book rests will make it an invaluable resource for scholars across the historical-humanistic disciplines and the bright light generated by its readings will illuminate countless research projects. This marvelous book belongs among the most distinguished publications to have emerged out of cultural studies in Germany during the past thirty years."—David E. Wellbery University of Chicago

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Book SynopsisOffers a comprehensive update of this classic statistics textbook, with careful adherence to the intent, approach, and style of the original authors.Table of ContentsPreface to the Eighth Edition. Preface to the First Edition. Symbols Frequently Used. Introduction. Frequency Distributions. The Mean and Standard Deviation. The Normal Distribution. Tests of Hypotheses. The Comparison of Two Samples. The Binomial Distribution. Shortcut and Nonparametric Methods. Regression. Correlation. Analysis of Frequencies in One-way and Two-way Classifications. One-way Classifications: Analysis of Variance. Analysis of Variance: The Random Effects Model. Two-way Classifications. Failure in the Assumptions. Factorial Experiments. Multiple Linear Regression. Analysis of Covariance. Nonlinear Relations. Two-way Tables with Unequal Numbers and Proportions. Sample Surveys. Appendix. Index.

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Book SynopsisCovering concepts, theorems and notable mathematicians, this comprehensive calculus primer covers such topics as absolute value; binomial theorem; implicit differentiation; polynomial functions; and the second derivative.

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Book SynopsisA one-volume encyclopedia designed for high school through early college students. With more than 1,000 entries, more than 125 photographs and illustrations, it unites disparate ideas and provides the meaning, history, context, and relevance behind each one..

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Book SynopsisExplores the history of probability, describing the modern concept of randomness and examining ""pre-probabilistic"" ideas of what most people today would characterize as randomness. It documents some historically important early uses of probability, and goes on to explore statistics and the generations of mathematicians and non-mathematicians who began to address problems in statistical analysis.

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a huge range and FREE tracked UK delivery on ALL orders.

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a huge range and FREE tracked UK delivery on ALL orders.

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a huge range and FREE tracked UK delivery on ALL orders.

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a huge range and FREE tracked UK delivery on ALL orders.

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Book SynopsisIntroduces the basic concepts and characteristics of string pattern matching strategies and provides numerous references for further reading. The text describes and evaluates the BF, KMP, BM, and KR algorithms, discusses improvements for string pattern matching machines, and details a technique for detecting and removing the redundant operation of the AC machine. Also explored are typical problems in approximate string matching. In addition, the reader will find a description for applying string pattern matching algorithms to multidimensional matching problems, an investigation of numerous hardware-based solutions for pattern matching, and an examination of hardware approaches for full text search.

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Book SynopsisUses the theory of stable marriage to introduce and illustrate a variety of important concepts and techniques of computer science and mathematics: data structures, control structures, combinatorics, probability, analysis, algebra, and especially the analysis of algorithms.Trade ReviewThis short book will provide extremely enjoyable reading to anyone with an interest in discrete mathematics and algorithm design. Mathematical Reviews Anyone would enjoy reading this book. If one had to learn French first, it would be worth the effort. Computing ReviewsTable of ContentsIntroduction, definitions, and examples Existence of a stable matching: the fundamental algorithm Principle of deferred decisions: coupon collecting Theoretical developments: application to the shortest path Searching a table by hashing; mean behavior of thefundamental algorithm Implementing the fundamental algorithm Research problems Annotated bibliography Appendix A. Later developments Appendix B. Solutions to exercises Index.

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Book SynopsisPresents an introduction to functional analysis and the initial fundamentals of $C^*$- and von Neumann algebra theory in a form suitable for both intermediate graduate courses and self-study. The authors provide an account of the introductory portions of this important and technically difficult subject.Table of ContentsLinear spaces Basics of Hilbert space and linear operators Banach algebras Elementary $C^*$-algebra theory Elementary von Neumann algebra theory Bibliography Index of notation Index.

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Book SynopsisPresents a systematic and unified study of geometric nonlinear functional analysis. This book presents a study of uniformly continuous and Lipschitz functions between Banach spaces, which leads naturally also to the classification of Banach spaces and of their important subsets (mainly spheres) in the uniform and Lipschitz categories.Table of ContentsIntroduction Retractions, extensions and selections Retractions, extensions and selections (special topics) Fixed points Differentiation of convex functions The Radon-Nikodym property Negligible sets and Gateaux differentiability Lipschitz classification of Banach spaces Uniform embeddings into Hilbert space Uniform classification of spheres Uniform classification of Banach spaces Nonlinear quotient maps Oscillation of uniformly continuous functions on unit spheres of finite-dimensional subspaces Oscillation of uniformly continuous functions on unit spheres of infinite-dimensional subspaces Perturbations of local isometries Perturbations of global isometries Twisted sums Group structure on Banach spaces Appendices Bibliography Index.

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Book SynopsisA guide to the qualitative theory of foliations. It features topics including: analysis on foliated spaces, characteristic classes of foliations and foliated manifolds. It is suitable as a supplementary text for a topics course at the advanced graduate level.Table of ContentsPart 1: Analysis and geometry on foliated spaces: Foreword to part 1 The $C^*$-algebra of a foliated space Harmonic measures for foliated spaces Generic leaves Part 2: Characteristic classes and foliations: Foreword to part 2 The Euler class of circle bundles The Chern-Weil construction Characteristic classes and integrability The Godbillon-Vey classes Part 3: Foliated 3-manifolds: Foreword to part 3 Constructing foliations Reebless foliations Foliations and the Thurston norm Disk decomposition and foliations of link complements $C^*$-Algebras Riemannian geometry and heat diffusion Brownian motion Planar foliations Bibliography Index.

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Book SynopsisPresents the Russian tradition of expository mathematical writing. Suitable for students and teachers who want to study its various aspects, this book includes topics in number theory. It treats diverse aspects of analysis and algebra.Table of ContentsThe arithmetic of binomial coefficients by D. B. Fuchs and M. B. Fuchs Do you like messing around with integers? by M. I. Bashmakov On Bertrand's conjecture by M. I. Bashmakov On best approximations. I by D. B. Fuchs and M. B. Fuchs On best approximations. II by D. B. Fuchs and M. B. Fuchs On a certain property of binomial coefficients by A. I. Shirshov On $n!$ and the number $e$ (Several approaches to a certain problem) by L. G. Limanov Rational approximations and transcendence by D. B. Fuchs and M. B. Fuchs Close fractions by V. N. Vaguten On the equation $\binom{n}{m} = \binom{n+1}{m-1}$ by A. I. Shirshov On regular polygons, Euler's function, and Fermat numbers by A. Kirillov 2-adic numbers by B. Bekker, S. Vostokov, and Yu. Ionin On the number $e$ by E. Kuzmin and A. Shirshov Markov's Diophantine equation by M. G. Krein The arithmetic of Gaussian integers by A. B. Goncharov Three formulas of Ramanujan by V. S. Shevelev Amazing adventures in the land of repeating decimals by V. G. Stolyar, E. A. Kuraev, Z. K. Silogadze, G. A. Galperin, and A. V. Korlyukov.

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Book SynopsisA collection of some of the work of Frederick J Almgren, Jr, the man most noted for defining the shape of geometric variational problems and for his role in founding The Geometry Center. It includes a summary by Sheldon Chang of the famous 1,700 page paper on singular sets of area-minimizing $m$-dimensional surfaces in $R^n$.Table of ContentsThe mathematics of F. J. Almgren, Jr. by B. White On Almgren's regularity result by S. X. Chang The homotopy groups of the integral cycle groups by F. J. Almgren, Jr. An isoperimetric inequality by F. J. Almgren, Jr. Three theorems on manifolds with bounded mean curvature by F. J. Almgren, Jr. Existence and regularity almost everywhere of solutions to elliptic variational problems among surfaces of varying topological type and singularity structure by F. J. Almgren, Jr. Measure theoretic geometry and elliptic variational problems by F. J. Almgren, Jr. The structure of limit varifolds associated with minimizing sequences of mappings by F. J. Almgren, Jr. Existence and regularity almost everywhere of solutions to elliptic variational problems with constraints by F. J. Almgren, Jr. The structure of stationary one dimensional varifolds with positive density by W. K. Allard and F. J. Almgren, Jr. The geometry of soap films and soap bubbles by F. J. Almgren, Jr. and J. E. Taylor Examples of unknotted curves which bound only surfaces of high genus within their convex hulls by F. J. Almgren, Jr. and W. P. Thurston Regularity and singularity estimates on hypersurfaces minimizing parametric elliptic variational integrals by R. Schoen, L. Simon, and F. J. Almgren, Jr. Dirichlet's problem for multiple valued functions and the regularity of mass minimizing integral currents by F. J. Almgren, Jr. Liquid crystals and geodesics by R. N. Thurston and F. J. Almgren $\mathbf{Q}$ valued functions minimizing Dirichlet's integral and the regularity of area minimizing rectifiable currents up to codimension two by F. J. Almgren, Jr. Optimal isoperimetric inequalities by F. Almgren Co-area, liquid crystals, and minimal surfaces by F. Almgren, W. Browder, and E. Lieb Singularities of energy minimizing maps from the ball to the sphere: Examples, counterexamples, and bounds by F. J. Almgren, Jr. and E. H. Lieb Symmetric decreasing rearrangement is sometimes continuous by F. J. Almgren, Jr. and E. H. Lieb Questions and answers about area-minimizing surfaces and geometric measure theory by F. Almgren Curvature-driven flows: A variational approach by F. Almgren, J. E. Taylor, and L. Wang Questions and answers about geometric evolution processes and crystal growth by F. Almgren.

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Book SynopsisIn addition to the standard topics, this volume includes topics not often found in an algebra book, such as inequalities, and the elements of substitution theory. Especially extensive is Chrystal's treatment of the infinite series, infinite products, and (finite and infinite) continued fractions.

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Book SynopsisContains lectures from the CBMS Regional Conference held at Harvey Mudd College, June 1977. This monograph consists of applications to nonlinear differential equations of the author's coincidental degree. It includes an bibliography covering many aspects of the modern theory of nonlinear differential equations and the theory of nonlinear analysis.Table of ContentsIntroduction Suggestions for the readerSuggestions for the reader Fredholm mappings of index zero and linear boundary value problems Degree theory for some classes of mappings Duality theorems for several fixed point operators associated to periodic problems for ordinary differential equations Existence theorems for equations in normed spaces Boundary value problems for second order nonlinear vector differential equations Periodic solutions of ordinary differential equations with one-sided growth restrictions Bound sets for functional differential equations The index of isolated zeros of some mappings Bifurcation theory Periodic solutions of autonomous ordinary differential equations around an equilibrium References.

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Book SynopsisGives an exposition of the relations among the following three topics: monoidal tensor categories (such as a category of representations of a quantum group), 3-dimensional topological quantum field theory, and 2-dimensional modular functors (which naturally arise in 2-dimensional conformal field theory).Table of ContentsIntroduction Braided tensor categories Ribbon categories Modular tensor categories 3-dimensional topological quantum field theory Modular functor Moduli spaces and complex modular functor Wess-Zumino-Witten model Bibliography Index Index of notation.

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Book SynopsisOffers lectures given at the Courant Institute on the theory of Sobolev spaces on Riemannian manifolds. This volume includes a brief introduction to differential and Riemannian geometry. It deals with the general theory of Sobolev spaces for compact manifolds, and also presents special types of Sobolev inequalities under constraints.Table of ContentsElements of Riemannian geometry Sobolev spaces: The compact setting Sobolev spaces: The noncompact setting Best constants in the compact setting I Best constants in the compact setting II Optimal inequalities with constraints Best constants in the noncompact setting Euclidean-type Sobolev inequalities The influence of symmetries Manifolds with boundary Bibliography.

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Book SynopsisThere have been many wonderful developments in the theory of minimal surfaces and geometric measure theory. This book covers variational geometry. It focuses on Plateau's Problem, which is concerned with surfaces that model the behavior of soap films.Table of ContentsThe phenomena of least area problems Integration of differential forms over rectifiable sets Varifolds Variational problems involving varifolds References Additional references Index.

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Book SynopsisIntroduces the notion of topological degree and develops its basic properties. This book uses these properties in the discussion of bifurcation theory (the possible branching of solutions as parameters vary), including the proof of Rabinowitz's global bifurcation theorem. It is suitable as a graduate level textbook and a supplementary course text.Trade Reviewextremely stimulating Zentralblatt fur MathematikTable of ContentsTopological approach: Finite dimensions Topological degree in Banach space Bifurcation theory Further topological methods Monotone operators and the min-max theorem Generalized implicit function theorems Bibliography.

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Book SynopsisEmphasizes the conceptual and historical continuity of analytic function theory. This work covers topics including elliptic functions, entire and meromorphic functions, as well as conformal mapping. It features chapters on majorization and on functions holomorphic in a half-plane.Table of ContentsVolume II:; 10. Analytic continuation:; 10.1 Introduction; 10.2 Rearrangements of power series; 10.3 Analytic functions; 10.4 Singularities; 10.5 Borel monogenic functions; 10.6 Multivalued functions and Riemann surfaces; 10.7 Law of permanence of functional equations; 11. Singularities and representation of analytic functions:; 11.1 Holomorphy-preserving transformations: I. Integral operators; 11.2 Holomorphy-preserving transformations: II. Differential operators; 11.3 Power series with analytic coefficients; 11.4 Analytic continuation in a star; 11.5 Polynomial series; 11.6 Composition theorems; 11.7 Gap theorems and noncontinuable power series; 12. Algebraic functions:; 12.1 Local properties; 12.2 Critical points; 12.3 Newton's diagram; 12.4 Riemann surfaces; some concepts of algebraic geometry; 12.5 Rational functions on the surface and Abelian integrals; 13. Elliptic functions:; 13.1 Doubly-periodic functions; 13.2 The functions of Weierstrass; 13.3 Some further properties of elliptic functions; 13.4 On the functions of Jacobi; 13.5 The theta functions; 13.6 Modular functions; 14. Entire and meromorphic functions:; 14.1 Order relations for entire functions; 14.2 Entire functions of finite order; 14.3 Functions with real zeros; 14.4 Characteristic functions; 14.5 Picard's and Landau's theorems; 14.6 The second fundamental theorem; 14.7 Defect relations; 15. Normal families:; 15.1 Schwarz's lemma and hyperbolic measure; 15.2 Normal families; 15.3 Induced convergence; 15.4 Applications; 16. Lemniscates:; 16.1 Chebichev polynomials; 16.2 The transfinite diameter; 16.3 Additive set functions; Radon-Stieltjes integrals; 16.4 Logarithmic capacity; 16.5 Green's function; Hilbert's theorem; 16.6 Runge's theorem; 16.7 Overconvergence; 17. Conformal mapping:; 17.1 Riemann's mapping theorem; 17.2 The kernel function; 17.3 Fekete polynomials and the exterior mapping problem; 17.4 Univalent functions; 17.5 The boundary problem; 17.6 Special mappings; 17.7 The theorem of Bloch; 18. Majorization:; 18.1 The Phragmen-Lindelof principle; 18.2 Dirichlet's problem; Lindelof's principle; 18.3 Harmonic measure; 18.4 The Nevanlinna-Ahlfors-Heins theorems; 18.5 Subordination; 19. Functions holomorphic in a half-plane:; 19.1 The Hardy-Lebesgue classes; 19.2 Bounded functions; 19.3 Growth-measuring functions; 19.4 Remarks on Laplace-Stieltjes integrals Bibliography Index.

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Book SynopsisPresents an introduction to differential geometry through differential forms, emphasizing their applications in various areas of mathematics and physics. This work focuses on Stokes' theorem, the classical integral formulas and their applications to harmonic functions and topology.Table of ContentsElements of multilinear algebra Differential forms in ${\mathbb{R}}^n$ Vector analysis on manifolds Pfaffian systems Curves and surfaces in Euclidean 3-space Lie groups and homogeneous spaces Symplectic geometry and mechanics Elements of statistical mechanics and thermodynamics Elements of electrodynamics Bibliography Symbols Index.

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Book SynopsisGroup-theoretic methods have taken an increasingly prominent role in analysis. Some of this change has been due to the writings of Sigurdur Helgason. This book is an introduction to such methods on spaces with symmetry given by the action of a Lie group.Trade ReviewFrom reviews of the original edition:""The book is excellent both as a text and as a reference work; it will clearly become another instant classic."" —American Scientist""This volume makes an excellent companion to the author's Differential Geometry, Lie Groups, and Symmetric Spaces, putting to work many of the abstract concepts developed in the earlier volume. The introductory material and large number of exercises (with answers!) will make the book quite appropriate for students. Researchers will find numerous useful references on geometric analysis, along with proofs, connections with other parts of mathematics, and valuable historical remarks. This book, like the author's previous work on differential geometry, will no doubt inspire considerable further research and become the standard text on the subjects it covers."" —Mathematical Reviews""Few treatises today can lay claim to being ""aere perennius"", but all of Helgason's books certainly do with a vengeance ... [He] sets a model of style and clarity that has not been matched since Enriques's Geometria proiettiva. This is the kind of mathematics that will live forever."" —The Bulletin of Mathematics Books""A most valuable contribution to Lie theory and to the interplay between geometry and analysis. It is remarkable that the beautiful theory in Chapter IV can be presented in a textbook form with complete proofs."" —Bulletin of the London Mathematical Society""The diversity of subjects treated is great. Nevertheless the author has managed to achieve coherence of presentation by clearly putting forward a few main themes and basic problems. The first third of the book is suitable as a text for beginning graduate students; the book is also an excellent source of reference for experts. No doubt it will become a new standard in the field."" —CWI QuarterlyTable of Contents Geometric Fourier analysis on spaces of constant curvature Integral geometry and Radon transforms Invariant differential operators Invariants and harmonic polynomials Spherical functions and spherical transforms Analysis on compact symmetric spaces Appendix Some details Bibliography Symbols frequently used Index Errata

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Book SynopsisDescribes in monograph form important applications in numerical methods of linear algebra. This book studies the behavior of the resolvent of a matrix under the perturbation by low rank matrices. It also introduces the basics of value distribution theory of meromorphic scalar functions.Table of ContentsPrologue Chapter 1 Chapter 2 Chapter 3 Chapter 4 Chapter 5 Chapter 6 Chapter 7 Chapter 8 Chapter 9 Chapter 10 Epilogue Bibliography.

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Book SynopsisFocuses on probabilistic foundations of the Feynman-Kac formula. Starting with main examples of Gaussian processes (the Brownian motion, the oscillatory process, and the Brownian bridge), this book presents four different proofs of the Feynman-Kac formula.Table of ContentsIntroduction The basic processes Bound state problems Inequalities Magnetic fields and stochastic integrals Asymptotics Other topics References Index Bibliographic supplement Bibliography.

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Book SynopsisPresents Brownian motion and deals with stochastic integrals and differentials, including Ito lemma. This book is devoted to topics of stochastic integral equations and stochastic integral equations on smooth manifolds. It is suitable for graduate students and researchers interested in probability, stochastic processes, and their applications.Table of ContentsBrownian motion Stochastic integrals and differentials Stochastic integral equations $(d=1)$ Stochastic integral equations $(d\geq2)$ References Subject index Errata.

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Book SynopsisA survey of asymptotic methods set in the applied research context of wave propagation. It stresses rigorous analysis in addition to formal manipulations. It is suitable for a beginning graduate course on asymptotic analysis in applied mathematics and is aimed at students of pure and applied mathematics as well as science and engineering.Table of ContentsFundamentals: Themes of asymptotic analysis The nature of asymptotic approximations Asymptotic analysis of exponential integrals: Fundamental techniques for integrals Laplace's method for asymptotic expansions of integrals The method of steepest descents for asymptotic expansions of integrals The method of stationary phase for asymptotic analysis of oscillatory integrals Asymptotic analysis of differential equations: Asymptotic behavior of solutions of linear second-order differential equations in the complex plane Introduction to asymptotics of solutions of ordinary differential equations with respect to parameters Asymptotics of linear boundary-value problems Asymptotics of oscillatory phenomena Weakly nonlinear waves Appendix: Fundamental inequalities Bibliography Index of names Subject index.

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Book SynopsisQuantum mechanics is arguably the most successful physical theory. It provides the structure underlying all of our electronic technology, and much of our mastery over materials. Suitable for undergraduates with minimal mathematical preparation, this title presents a logical path to understanding what quantum mechanics is about.Table of ContentsThe failure of classical theory Consequences of a mistrust of theory Properties of electrons, photons; The De Broglie relations An analysis of electron diffraction Heisenberg's principle of indeterminancy Interpretations of the Heisenberg principle Dynamical properties of microsystems Determinism and state; Statistical determinism Probability amplitudes; The superposition principle Summary and comment Index.

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