Applied mathematics Books

Book SynopsisIn About Time: Einstein''s Unfinished Revolution Paul Davies confronts the puzzles and paradoxes of time that have bemused the world''s greatest thinkers throughout the ages.When Albert Einstein formulated his theory of relativity it brought about a revolution in our understanding of time, yet also presented a new set of mysteries. Einstein''s time can be warped, leading to bizarre possibilities such as black holes and time travel, while making a nonsense of our perception of a ''now'' or a division of time into past, present and future.In About Time Paul Davies tackles the tough questions about time, including the strange relationship between physical time and our psychological perception of it. He gives straightforward descriptions of topics such as the theory of relativity, the relation between time dilation and the speed of light and Hawking''s ''imaginary time''. He concludes that, despite decades of progress in unravelling the mysteries of Table of ContentsA very brief history of time; time for a change; timewarps; black holes - gateways to the end of time; the beginning of time - when exactly was it?; Einstein's greatest triumph?; quantum time; imaginary time; the arrow of time; backwards in time; time travel - fact or fantasy?; but what time is it now?; experimenting with time; the unfinished revolution.

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Book SynopsisMultilayer networks has become a central topic in Network Science. The book presents a comprehensive account of this emerging field. Multilayer networks are formed by several networks and include social networks, financial markets, multi-modal transportation systems, infrastructures, molecular networks, and the brain.Table of ContentsPart I: Single and multilayer networks 1: Complex systems as multilayer networks Part II: Single networks 2: The structure of single networks 3: The dynamics on single networks Part III: Multilayer networks 4: Multilayer networks in nature, society and infrastructures 5: The mathematical definition 6: Basic structural properties 7: Structural correlations of multiplex networks 8: Communities 9: Centrality measures 10: Multilayer network models 11: Interdependent multilayer networks 12: Classical percolation, generalized percolation and cascades 13: Epidemic spreading 14: Diffusion 15: Synchronization, non-linear dynamics and control 16: Opinion dynamics and game theory Appendix A: The Barabasi Albert model: the master equation Appendix B: Entropy and null models of single networks Appendix C: Growing multiplex networks: the master equation Appendix D: Percolation of interdependent networks Appendix E: Directed percolation of interdependent networks Appendix F: Immunization strategies on multiplex networks Appendix G: Spectrum of the Supra-Laplacian Part I: Single and multilayer networks 1: Complex systems as multilayer networks Part II: Single networks 2: The structure of single networks 3: The dynamics on single networks Part III: Multilayer networks 4: Multilayer networks in nature, society and infrastuctures 5: The mathematical definition 6: Basic structural properties 7: Structural correlations of multiplex networks 8: Communities 9: Centrality measures 10: Multilayer network models 11: Interdependent multilayer networks 12: Classical percolation, generalized percolation and cascades 13: Epidemic spreading 14: Diffusion 15: Synchronization, non-linear dynamics and control 16: Opinion dynamics and game theory Appendix A: The Barabasi Albert model: the master equation Appendix B: Entropy and null models of single networks Appendix C: Growing multiplex networks: the master equation Appendix D: Percolation of interdependent networks Appendix E: Directed percolation of interdependent networks Appendix F: Immunization strategies on multiplex networks Appendix G: Spectrum of the Supra-Laplacian

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Book SynopsisThis textbook on rotating fluid dynamics combines a pedagogical development of theoretical ideas with a description and analysis of many of the fascinating examples of rotating flows found in nature. The book is self-contained, starting in Part I with introductory chapters on fluid dynamics and waves. The largest section of the book is Part II, where a broad theoretical framework is developed for rotating flows, including Ekman layers, inertial waves, Taylor columns, Rossby waves, precession, instabilities, rotating convection, vortex breakdown, and rotating turbulence. The book ends, in Part III, with an analysis of some naturally occurring rotating flows, including tornadoes and dust devils, tidal vortices, tropical cyclones, convection in planetary cores, zonal winds in planetary atmospheres, and astrophysical accretion discs. Davidson presents a unique combination of a deep but broad theoretical framework with a detailed discussion of many naturally occurring flows. Moreover, the b

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Book SynopsisThis textbook offers an introduction to deep learning for solving inverse problems. It introduces deep neural networks and deep neural network based signal and image reconstruction techniques. It discusses robustness aspects, how to evaluate and test different methods, and data-centric aspects.

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Book SynopsisCore Maths for the Biosciences introduces the range of mathematical concepts that bioscience students need to master during thier studies. Starting from fundamental concepts, it blends clear explanations and biological examples throughout as it equips the reader with the full range of mathematical tools required by biologists today.Trade ReviewExactly the sort of thing that will be helpful in showing those with biological problems how mathematics can be very useful - and that what is really important is maintaining an intuitive understanding between the mathematics - which is essentially no more, but no less, than a way of thinking very precisely - and the actual phenomena they are dealing with...Very fine indeed. * Professor Lord May of Oxford, Department of Zoology, University of Oxford *Fantastic. Easy to understand, interactive, biologically relevant and dictated in a way that seemed as though you are almost having a conversation with the author. * James Sleigh, Student, University of Oxford *Coherent and clear. The best I have seen this kind of material treated. * Stephen Hubbard, University of Dundee *This book is by far the best of its kind, a spectacular diamond in the rough. * Helen Smith, student, University of Salford *The interactive spreadsheets are a work of genius. * Stuart Fisk, student, University of Essex *Table of ContentsPART 1: ARITHMETIC, ALGEBRA & FUNCTIONS; PART 2: CALCULUS AND DIFFERENTIAL EQUATIONS

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Book SynopsisMathematical Techniques provides a complete course in mathematics, covering all the essential topics with which a physical sciences or engineering student should be familiar. It introduces and builds on concepts in a progressive, carefully-layered way, and features over 2000 end of chapter problems, plus additional self-check questions.Trade ReviewReview from previous edition This textbook offers an accessible and comprehensive grounding in many of the mathematical techniques required in the early stages of an engineering or science degree and also for the routine methods needed by first and second year mathematics students. * Engineering Designer March/April 2003 *There are also significant changes in content in the opening chapter, where the foundation material has been expanded usefully. The authors do not attempt to dodge theoretical hurdles. They are careful to explain many of the less intuitive properties of functions and to highlight generalisations without becoming over abstract. * Times Higher Education Supplement, November 2002 *Thoroughly recommended. * Zentralblatt MATH, 993:2002 *Table of ContentsPART 1. ELEMENTARY METHODS, DIFFERENTIATION, COMPLEX NUMBERS; PART 2. MATRIX AND VECTOR ALGEBRA; PART 3. INTEGRATION AND DIFFERENTIAL EQUATIONS; PART 4. TRANSFORMS AND FOURIER SERIES; PART 5. MULTIVARIABLE CALCULUS; PART 6. DISCRETE MATHEMATICS; PART 7. PROBABILITY AND STATISTICS; PART 8. PROJECTS; SELF-TESTS: SELECTED ANSWERS; ANSWERS TO SELECTED PROBLEMS; APPENDICES; FURTHER READING; INDEX

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Book SynopsisA comprehensive and self-contained introduction to Gaussian processes, which provide a principled, practical, probabilistic approach to learning in kernel machines.Gaussian processes (GPs) provide a principled, practical, probabilistic approach to learning in kernel machines. GPs have received increased attention in the machine-learning community over the past decade, and this book provides a long-needed systematic and unified treatment of theoretical and practical aspects of GPs in machine learning. The treatment is comprehensive and self-contained, targeted at researchers and students in machine learning and applied statistics. The book deals with the supervised-learning problem for both regression and classification, and includes detailed algorithms. A wide variety of covariance (kernel) functions are presented and their properties discussed. Model selection is discussed both from a Bayesian and a classical perspective. Many connections to other well-known techniques from

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Book SynopsisBased on the syllabus of the actuarial profession courses on general insurance pricing â with additional material inspired by the authorâs own experience as a practitioner and lecturer â Pricing in General Insurance, Second Edition presents pricing as a formalised process that starts with collecting information about a particular policyholder or risk and ends with a commercially informed rate. The first edition of the book proved very popular among students and practitioners with its pragmatic approach, informal style, and wide-ranging selection of topics, including: Background and context for pricing Process of experience rating, ranging from traditional approaches (burning cost analysis) to more modern approaches (stochastic modelling) Exposure rating for both property and casualty products Specialised techniques for personal lines (e.g., GLMs), reinsurance, and specific products such as credit risk and weatheTable of Contents1.The Pricing Process: A Gentle Start. 2. Insurance and Reinsurance Products. 3.The Cover Structure.4. The Insurance Markets. 5. Pricing in Context. 6. The Scientific Basis for Pricing: Risk Theory. 7. Familiarise Yourself with the Risk. 8. Data Requirements for Pricing. 9. Setting the Loss Inflation Assumptions. 10. Data Preparation. 11. The Burning Cost Approach. 12. What Is This Thing Called Modelling? A Gentle Introduction to Machine Learning. 13. Frequency Modelling: Adjusting for Claim Count IBNR. 14. Frequency Modelling: Selecting and Calibrating a Frequency Model. 15. Severity Modelling: Adjusting for IBNER and Other Factors. 16. Severity Modelling: Selecting and Calibrating a Severity Model. 17. Aggregate Loss Modelling. 18. Identifying, Measuring, and Communicating Uncertanity. 19. Setting the Premium. 20. The Pricing Cycle and Rate Change Calculations. 21. Experience Rating for Non-Proportional Reinsurance. 22. Exposure Rating for Property Insurance. 23. Liability Rating Using Increased Limit Factor Curves. 24. Pricing Considerations for Specific Lines of Business. 25. Catastrophe Modelling in Pricing. 26. Credibilty Theory. 27. Rating Factor Selection and Calibration: GLMs, GAMs, and Regularisation. 28. Multilevel Factors and Smoothing. 29. Pricing Multiple Lines of Business and Risks. 30. Insurance Structure Optimisation. 31. An Introduction to Pricing Models.

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Book SynopsisIntroduces students to the basic mathematical and scientific principles underpinning sport and exercise science. This book explains the basic scientific principles that help us to understand sport, exercise and human movement, using a range of illustrated practical examples.Table of Contents1.Introduction Part1 Physical states 2.Gases 3.Liquids 4.Solids Part 2 Force, pressure, energy and electricity 5.Force and pressure 6.Energy 7.ElectricityPart 3 Scientific transferable skills 8.Data analysis 9.Numerical Calculations 10.Report writing Appendix 1: Health questionnaire Appendix 2: Examples of consent forms Appendix 3: Thermal equivalents of oxygen Appendix 4: Scientific journals in sport and exercise Appendix 5:Measurement concepts

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Book SynopsisMathematics for Biological Scientists is a new undergraduate textbook which covers the mathematics necessary for biology students to understand, interpret and discuss biological questions.The book's twelve chapters are organized into four themes. The first theme covers the basic concepts of mathematics in biology, discussing the mathematics used in biological quantities, processes and structures. The second theme, calculus, extends the language of mathematics to describe change. The third theme is probability and statistics, where the uncertainty and variation encountered in real biological data is described. The fourth theme is explored briefly in the final chapter of the book, which is to show how the 'tools' developed in the first few chapters are used within biology to develop models of biological processes.Mathematics for Biological Scientists fully integrates mathematics and biology with the use of colour illustrations and photographs to provide an engaging and informative approach to the subject of mathematics and statistics within biological science.Trade Review"This book should help remind students that there can be concrete applications for mathematics." - The Quarterly Review of Biology, Volume 85, December 2010 "...pitched at a good level ... enough detail to interest the more able/interested student, while the basic mathematics was introduced in an intuitive and engaging manner that would enable understanding for students with less mathematical background. The use of the text boxes and highlight boxes was extremely useful, presenting critical information in a manner that was easy to follow. Moreover, these gave the book the 'feel' of a biological textbook, rather than a more traditional mathematical textbook." - Kevin Painter, Heriot-Watt UniversityThis book should help remind students that there can be concrete applications for mathematics.—The Quarterly Review of Biology, Volume 85, December 2010...pitched at a good level ... enough detail to interest the more able/interested student, while the basic mathematics was introduced in an intuitive and engaging manner that would enable understanding for students with less mathematical background. The use of the text boxes and highlight boxes was extremely useful, presenting critical information in a manner that was easy to follow. Moreover, these gave the book the 'feel' of a biological textbook, rather than a more traditional mathematical textbook.—Kevin Painter, Heriot-Watt UniversityTable of Contents1. Quantities and Units 2. Numbers and Equations 3. Tables, Graphs and Functions 4. Shapes, Waves and Trigonometry 5. Differentiation 6. Integration 7. Calculus: Expanding the Toolkit 8. The Calculus of Growth and Decay Processes 9. Descriptive Statistics and Data Display 10. Probability 11. Statistical Inference 12. Biological Modeling Presenting Your WorkEnd of Chapter QuestionsAnswers to End of Chapter Questions

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Book SynopsisBlackwell Publishing is delighted to announce that this book has been Highly Commended in the 2004 BMA Medical Book Competition. Here is the judges' summary of this book: "This is a technical book on a technical subject but presented in a delightful way.Trade Review"This book is the statistics book of choice for anyone wanting a proper appreciation of the use and application of statistics in health care. I highly recommend this book." (Journal of Renal Nursing, 6 November 2011) the breadth of coverage of the book is excellent ... a rather different approach to teaching medical statistics." Statistics in Medicine "The most readable book that I have yet discovered in the topic" Community Health Studies "This book is statistically correct. That is enough to distinguish it from most of its competitors." British Medical Journal Published Reviews of the 2th Edition "One word which definitely describes this book is "comprehensive". Anything you ever wanted to know about medical statistics is covered in immense detail." 4th Year Medical Student Liverpool Medical School Sphincter, December 2003 "This is a comprehensive book that includes an impressive range of topics often omitted from books aimed at non-statisticians. ...a resource that makes it easy for a beginner to comprehend a wide range of statistical concepts and tools. Essential Medical Statistics fills an important niche by providing practical information on a comprehensive scope of modern statistical methods and, at the same time, communicating on the same wavelengths as physicians and other nonstatisticians." Teaching of Statistics in the Health Sciences, Section of the American Statistical Association, Spring 2004 "The book is laid out in a logical fashion and includes all of the tables you need to find p-values once you have performed a test. It covers simple statistical methods, such as how to calculate the mean and standard deviation, progressing to linear and multiple regression, Poisson regression and measures of impact and association. ...I would recommend using it to anyone who is still struggling with statistics." North Wing, Sheffield Medics Magazine, Winter 2004 "The book is generally well laid out, the indexing is well structured and a comprehensive bibliography is provided. The topics are easy to locate and include practical examples. These attributes make it a useful text for both consulting and teaching purposes." Statistics in Medicine, Vol 24, Number 5, March 2005Table of ContentsPart A. Basics. 1. Using this book. 2. Defining the data. 3. Displaying the data. Part B. Analysis of numerical outcomes. 4. Means, Standard Deviations and Standard Errors. 5. The Normal Distribution. 6. Confidence Interval for a Mean. 7. Comparison of two means: confidence intervals, hypothesis tests and P-values. 8. Using P-values and confidence intervals to interpret the results of statistical analyses. 9. Comparison of means from several groups: analysis of variance. 10. Linear Regression and Correlation. 11. Multiple Regression. 12. Goodness of fit and regression diagnostics. 13. Transformations. Part C. Analysis of binary outcomes. 14. Probability, risks and odds (of disease). 15. Proportions and the binomial distribution. 16. Comparing two proportions. 17. Chi-squared tests for 2 × 2 and larger contingency tables. 18. Controlling for confounding: stratification. 19. Logistic regression: comparing two or more exposure groups. 20. Logisitic regression: controlling for confounding and other extensions. 21. Matched studies. Part D. Longitudinal studies: Analysis of rates and survival times. 22. Longitudinal studies, rates and the Poisson distribution. 23. Comparing rates. 24. Poisson regression. 25. Standardisation. 26. Survival analysis: displaying and comparing survival patterns. 27. Regression analysis of survival data. Part E. Statistical modelling. 28. Likelihood. 29. Regression modelling. 30. Relaxing model assumptions. 31. Analysis of clustered data. 32. Systematic reviews and meta-analysis. 33. Bayesian statistics. Part F. Study design, analysis and interpretation. 34. Linking analysis to study design: summary of methods. 35. Calculation of Required Sample Size. 36. Measurement error: assessment and implications. 37. Measures of association and impact. 38. Strategies for analysis. APPENDIX: Statistical Tables. Bibliography

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Book SynopsisFourier analysis is a subject that was born in physics but grew up in mathematics. Now it is part of the standard repertoire for mathematicians, physicists and engineers. This diversity of interest is often overlooked, but in this much-loved book, Tom Körner provides a shop window for some of the ideas, techniques and elegant results of Fourier analysis, and for their applications. These range from number theory, numerical analysis, control theory and statistics, to earth science, astronomy and electrical engineering. The prerequisites are few (a reader with knowledge of second- or third-year undergraduate mathematics should have no difficulty following the text), and the style is lively and entertaining. This edition of Körner''s 1989 text includes a foreword written by Professor Terence Tao introducing it to a new generation of fans.Trade Review'This is an extraordinary and very attractive book … I would like to see the book on the desk of every pure mathematician with an interest in classical analysis, and of every teacher of applied mathematics whose work involves analysis … This is how mathematics ideally should be presented, but too seldom is.' R. P. Boas, SIAM Review'This is a wonderful book … More than anything, this is just fun to read, to browse, to study. … Fourier Analysis is literate, lively and a true classic. I highly recommend it.' William J. Satzer, MAA ReviewsTable of ContentsForeword Terence Tao; Preface; 1. Fourier series; 2. Some differential equations; 3. Orthogonal series; 4. Fourier transforms; 5. Further developments; 6. Other directions; Appendices; Index.

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Book SynopsisWritten for any motivated reader with a high-school knowledge of mathematics, and the discipline to follow logical arguments, this book presents the proofs for revolutionary impossibility theorems in an accessible way, with less jargon and notation, and more background, intuition, examples, explanations, and exercises.Trade Review'This unique and lovely book takes us on a grand tour of the limitations of science, mathematics, and of reason itself. To appreciate what is possible we must know the impossible, and such limitations define the boundary between the two. Gusfield offers well-explained gems illustrating various limitations, showing why they arise, giving their historical context, and in contrast to other similar books for a broad audience, presenting rigorous proofs requiring limited background.' Michael Sipser, MIT'There are impossible problems in many different fields (e.g., Physics, Mathematics). This book is an excellent exposition of these difference ways a problem can be impossible. Along the way, the reader will pick up the needed background which is interesting in itself.' William Gasarch, University of MarylandTable of ContentsPreface; 1. Yes you can prove a negative!; 2. Bell's impossibility theorem(s); 3. Enjoying Bell magic; 4. Arrow's (and friends') impossibility theorems; 5. Clustering and impossibility; 6. Gödel-ish impossibility; 7. Turing undecidability and incompleteness; 8. Chaitin's theorem: More devastating; 9. Gödel (for real, this time).

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Book SynopsisWritten for any motivated reader with a high-school knowledge of mathematics, and the discipline to follow logical arguments, this book presents the proofs for revolutionary impossibility theorems in an accessible way, with less jargon and notation, and more background, intuition, examples, explanations, and exercises.Trade Review'This unique and lovely book takes us on a grand tour of the limitations of science, mathematics, and of reason itself. To appreciate what is possible we must know the impossible, and such limitations define the boundary between the two. Gusfield offers well-explained gems illustrating various limitations, showing why they arise, giving their historical context, and in contrast to other similar books for a broad audience, presenting rigorous proofs requiring limited background.' Michael Sipser, MIT'There are impossible problems in many different fields (e.g., Physics, Mathematics). This book is an excellent exposition of these difference ways a problem can be impossible. Along the way, the reader will pick up the needed background which is interesting in itself.' William Gasarch, University of MarylandTable of ContentsPreface; 1. Yes you can prove a negative!; 2. Bell's impossibility theorem(s); 3. Enjoying Bell magic; 4. Arrow's (and friends') impossibility theorems; 5. Clustering and impossibility; 6. Gödel-ish impossibility; 7. Turing undecidability and incompleteness; 8. Chaitin's theorem: More devastating; 9. Gödel (for real, this time).

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Book SynopsisQuantum Continuous Variables introduces the theory of continuous variable quantum systems, from its foundations based on the framework of Gaussian states to modern developments, including its applications to quantum information and forthcoming quantum technologies. This book addresses the theory of Gaussian states, operations, and dynamics in great depth and breadth, through a novel approach that embraces both the Hilbert space and phase descriptions.The second edition of this book has been revised throughout, and updated to include new topics, such as boson sampling, coherent feedback, nonlinear control, as well as several new solved problems.The volume includes coverage of entanglement theory and quantum information protocols, and their connection with relevant experimental set-ups. General techniques for non-Gaussian manipulations also emerge as the treatment unfolds and are demonstrated with specific case studies.This book willTable of ContentsChapter 1: Introduction. Chapter 2: Quantum Mechanics: Instructions for Use. Chapter 3: Gaussian States of Continuous Variable Systems. Chapter 4: Phase Space Methods. Chapter 5: Gaussian Operations. Chapter 6: Diffusive Dynamics and Continuous Monitoring. Chapter 7: Entanglement of Continuous Variable Systems. Chapter 8: Quantum Information Protocols with Continuous Variables. Chapter 9: A Grand Tour of Continuous Variable Platforms. Appendix A: A Note on Fermions. Appendix B: Some Notable Facts About the Symplectic Group. Appendix C: The Wiener Process. Appendix D: Selected Mathematical Lore on Quantum Channels. Appendix E: Classical and Quantum Estimation Bounds. References. Index.

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Book SynopsisIt is because mathematics is often misunderstood, it is commonlybelieved it has nothing to say about politics. The high schoolexperience with mathematics, for so many the lasting impressionof the subject, suggests that mathematics is the study of numbers, operations, formulas, and manipulations of symbols. Thosebelieving this is the extent of mathematics might conclude mathematics has no relevance to politics. This book counters this impression. The second edition of this popular book focuses on mathematical reasoningabout politics. In the search for ideal ways to make certain kindsof decisions, a lot of wasted effort can be averted if mathematics can determine thatfinding such an ideal is actually impossible in the first place.In the first three parts of this book, we address the following threepolitical questions:Table of ContentsI VOTING Two Candidates Social Choice Functions Criteria for Social Choice Which Methods Are Good?Arrow’s Theorem Variations on a Theme Notes on Part I II: APPORTIONMENT Hamilton’s MethodDivisor Methods Criteria and Impossibility The Method of Balinski and Young Deciding among Divisor Methods History of Apportionment in the United StatesNotes on Part II III CONFLICTStrategies and OutcomesChance and Expectation Solving Zero-Sum Games Conflict and CooperationNash Equilibria The Prisoner’s DilemmaNotes on Part III IV THE ELECTORAL COLLEGEWeighted Voting Whose Advantage?Notes on Part IV Solutions to Odd-Numbered Exercises and Problems

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Book SynopsisThis popular textbook provides a detailed examination of the central assertions of measure theory in n-dimensional Euclidean space, with emphasis upon the roles of Hausdorff measure and capacity in characterizing the fine properties of sets and functions. Measure Theory and Fine Properties of Functions, Second Edition includes many interesting items working mathematical analysts need to know, but are rarely taught. Topics covered include a review of abstract measure theory, including Besicovitchâs covering theorem, Rademacherâs theorem (on the differentiability a.e. of Lipschitz continuous functions), the area and coarea formulas, the precise structure of Sobolev and BV functions, the precise structure of sets of finite perimeter, and Aleksandrovâs theorem (on the twice differentiability a.e. of convex functions). The topics are carefully selected, and the proofs are succinct, but complete. This book provides ideal reading for mathematicians and gradua

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Book SynopsisHow does homebanking work? How are board games developed? How reliable can wind energy get? How do we discover forged paintings? Do smart girls stay single? How dangerous can a bioterrorist get? In all these questions (and many others), mathematics plays a crucial role in the search for an answer.?This book tells the story behind twenty of these questions. This is explicitly not a mathematics book, but a book about the crucial role that mathematics plays in devising the creative solutions the world needs. The questions are divided into three categories: mathematics in everyday life, mathematics for the workplace, and mathematics for tomorrow''s society. The themes illustrate not only the incredibly broad applicability of mathematics in the world around us, but also the great diversity of useful mathematical techniques.Table of ContentsForeword.- Preface.- Introduction.- 1. Worry-Free Online Shopping - 2. Reach Everyone, Everywhere in Just Six Steps.- 3. Are the Polls Right?.- 4. Cochlear Implants Help the Deaf Hear Again.- 5. Google PageRank, or the Needle in the Haystack.- 6. Fun and Game Theory.- 7. High Winds on High Mills.- 8. Reducing Factory Noise.- 9. Virtual Architecture and Engineering.- 10. The Art of Forgery.- 11. The Right Bike in the Right Place.- 12. 1. Can Computers Detect Fraud? (And Do We Want Them To?).- 13. How to Predict the Future.- 14. Do Smart Girls Stay Single Longer?.- 15. What if There's More Data than Storage?.- 16. Driving Without a Driver.- 17. How Vulnerable Are Our Banking Systems?.- 18. Can We Predict Climate Change?.- 19. War and Peace.- 20. Pandemics: From Ebola and HIV to Bioterrorism and the Coronavirus.- Bibliography.- Glossary.- Translator's Note.

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Book SynopsisMathematics and Statistics for Financial Risk Management is a practical guide to modern financial risk management for both practitioners and academics. Now in its second edition with more topics, more sample problems and more real world examples, this popular guide to financial risk management introduces readers to practical quantitative techniques for analyzing and managing financial risk. In a concise and easy-to-read style, each chapter introduces a different topic in mathematics or statistics.As different techniques are introduced, sample problems and application sections demonstrate how these techniques can be applied to actual risk management problems. Exercises at the end of each chapter and the accompanying solutions at the end of the book allow readers to practice the techniques they are learning and monitor their progress.A companion Web site includes interactive Excel spreadsheet examples and templates. Mathematics and Statistics for FinanciTable of ContentsPreface ix What’s New in the Second Edition xi Acknowledgments xiii Chapter 1 Some Basic Math 1 Logarithms 1 Log Returns 2 Compounding 3 Limited Liability 4 Graphing Log Returns 5 Continuously Compounded Returns 6 Combinatorics 8 Discount Factors 9 Geometric Series 9 Problems 14 Chapter 2 Probabilities 15 Discrete Random Variables 15 Continuous Random Variables 15 Mutually Exclusive Events 21 Independent Events 22 Probability Matrices 22 Conditional Probability 24 Problems 26 Chapter 3 Basic Statistics 29 Averages 29 Expectations 34 Variance and Standard Deviation 39 Standardized Variables 41 Covariance 42 Correlation 43 Application: Portfolio Variance and Hedging 44 Moments 47 Skewness 48 Kurtosis 51 Coskewness and Cokurtosis 53 Best Linear Unbiased Estimator (BLUE) 57 Problems 58 Chapter 4 Distributions 61 Parametric Distributions 61 Uniform Distribution 61 Bernoulli Distribution 63 Binomial Distribution 65 Poisson Distribution 68 Normal Distribution 69 Lognormal Distribution 72 Central Limit Theorem 73 Application: Monte Carlo Simulations Part I: Creating Normal Random Variables 76 Chi-Squared Distribution 77 Student’s t Distribution 78 F-Distribution 79 Triangular Distribution 81 Beta Distribution 82 Mixture Distributions 83 Problems 86 Chapter 5 Multivariate Distributions and Copulas 89 Multivariate Distributions 89 Copulas 97 Problems 111 Chapter 6 Bayesian Analysis 113 Overview 113 Bayes’ Theorem 113 Bayes versus Frequentists 119 Many-State Problems 120 Continuous Distributions 124 Bayesian Networks 128 Bayesian Networks versus Correlation Matrices 130 Problems 132 Chapter 7 Hypothesis Testing and Confidence Intervals 135 Sample Mean Revisited 135 Sample Variance Revisited 137 Confidence Intervals 137 Hypothesis Testing 139 Chebyshev’s Inequality 142 Application: VaR 142 Problems 152 Chapter 8 Matrix Algebra 155 Matrix Notation 155 Matrix Operations 156 Application: Transition Matrices 163 Application: Monte Carlo Simulations Part II: Cholesky Decomposition 165 Problems 168 Chapter 9 Vector Spaces 169 Vectors Revisited 169 Orthogonality 172 Rotation 177 Principal Component Analysis 181 Application: The Dynamic Term Structure of Interest Rates 185 Application: The Structure of Global Equity Markets 191 Problems 193 Chapter 10 Linear Regression Analysis 195 Linear Regression (One Regressor) 195 Linear Regression (Multivariate) 203 Application: Factor Analysis 208 Application: Stress Testing 211 Problems 212 Chapter 11 Time Series Models 215 Random Walks 215 Drift-Diffusion Model 216 Autoregression 217 Variance and Autocorrelation 222 Stationarity 223 Moving Average 227 Continuous Models 228 Application: GARCH 230 Application: Jump-Diffusion Model 232 Application: Interest Rate Models 232 Problems 234 Chapter 12 Decay Factors 237 Mean 237 Variance 243 Weighted Least Squares 244 Other Possibilities 245 Application: Hybrid VaR 245 Problems 247 Appendix A Binary Numbers 249 Appendix B Taylor Expansions 251 Appendix C Vector Spaces 253 Appendix D Greek Alphabet 255 Appendix E Common Abbreviations 257 Appendix F Copulas 259 Answers 263 References 303 About the Author 305 About the Companion Website 307 Index 309

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Book SynopsisTable of ContentsForeword vii Preface ix Contributors xi About the Companion Website xvii 1 Biological Sequence Databases 1Andreas D. Baxevanis 2 Information Retrieval from Biological Databases 19Andreas D. Baxevanis 3 Assessing Pairwise Sequence Similarity: BLAST and FASTA 45Andreas D. Baxevanis 4 Genome Browsers 79Tyra G. Wolfsberg 5 Genome Annotation 117David S. Wishart 6 Predictive Methods Using RNA Sequences 155Michael F. Sloma, Michael Zuker, and David H. Mathews 7 Predictive Methods Using Protein Sequences 185Jonas Reeb, Tatyana Goldberg, Yanay Ofran, and Burkhard Rost 8 Multiple Sequence Alignments 227Fabian Sievers, Geoffrey J. Barton, and Desmond G. Higgins 9 Molecular Evolution and Phylogenetic Analysis 251Emma J. Griffiths and Fiona S.L. Brinkman 10 Expression Analysis 279Marieke L. Kuijjer, Joseph N. Paulson, and John Quackenbush 11 Proteomics and Protein Identification by Mass Spectrometry 315Sadhna Phanse and Andrew Emili 12 Protein Structure Prediction and Analysis 363David S. Wishart 13 Biological Networks and Pathways 399Gary D. Bader 14 Metabolomics 437David S. Wishart 15 Population Genetics 481Lynn B. Jorde and W. Scott Watkins 16 Metagenomics and Microbial Community Analysis 505Robert G. Beiko 17 Translational Bioinformatics 537Sean D. Mooney and Stephen J. Mooney 18 Statistical Methods for Biologists 555Hunter N.B. Moseley Appendices 583 Glossary 591 Index 609

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Book SynopsisBasic Transport Phenomena in Biomedical Engineering, Fourth Edition, brings together fundamental engineering and life science principles, with specific attention paid to the momentum and mass transport concepts applicable to the design of medical devices. Such an analysis highlights the chemical and physical transport processes used in the development of artificial organs, bioartificial organs, controlled drug delivery systems, and tissue engineering. Basic Transport Phenomena in Biomedical Engineering, Fourth Edition, furthermore provides a basic review of units and dimensions with some tips for solving engineering problems; an investigation of thermodynamic concepts with an emphasis on the properties of solutions; and an in-depth exploration of body fluids, osmosis and membrane filtration, the physical and flow properties of blood, solute transport, oxygen transport, and pharmacokinetic analysis. This text is written with curious and inquisitive students in mind who wish toTrade Review"This is an excellent undergraduate biotransport text that presents material in a logical, easily understandable fashion. The book does a great job of incorporating problem solving and dimensional analysis using topics that are relevant and timely. It is a pleasure to teach from this textbook."— Christopher Brigham, University of Massachusetts Dartmouth, USA"The text provides a comprehensive introduction to a complex topic which brings together a number of different scientific disciplines. In addition, the text provides the student with some worked examples to enhance understanding."— Nicholas Hoenich, Newcastle University, UK"My course at Rutgers consistently has garnered very positive feedback from the students, and I am delighted that the book is being continually updated and aligned to suit the newer demands of our academic discipline."— Prabhas Moghe, Rutgers University, New Jersey, USATable of Contents1 Introduction2 A review of thermodynamic concepts3 Physical properties of the body fluids and the cell membrane4 The physical and flow properties of blood and other fluids5 Mass transfer fundamentals6 Mass transfer in heterogeneous materials7 Oxygen transport in biological systems8 Pharmacokinetic analysis9 Extracorporeal devices10 Tissue engineering and regenerative medicine11 Bioartificial organs

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Book SynopsisAs the open-source and free alternative to expensive software, Sage offers anyone with a web browser the ability to use cutting-edge mathematical software and share the results with others, often with stunning graphics. This book is a gentle introduction to Sage for undergraduate students.Trade ReviewFrom the previous edition:"Professor Bard has provided a valuable service by carefully explaining everything an undergraduate student of mathematics, or a teacher of these topics, needs to get started with Sage quickly and easily. It will also be useful for any student or teacher of another STEM discipline. There is an excellent mix of the most frequently used commands, along with warnings about common pitfalls or caveats. I highly recommend it for anyone new to Sage, or who desires an overview of the system's impressive capabilities."—Robert A. Beezer, University of Puget Sound"This book is a sort of ""Missing Manual"" that explains how Sage can be used in a range of standard mathematics courses, instead of targeting specialists like much existing Sage documentation. The depth of content is very impressive, and describes--in a single coherent narrative--how to successfully use Sage for a wide swath of undergraduate applied topics."—William Stein, University of Washington, SeattleTable of Contents Welcome to Sage! Fun projects using Sage Advanced plotting techniques Advanced features of Sage Programming in Sage and Python Building interactive webpages with Sage What to do when frustrated! Transitioning to SageMathCloud Translating Python2 to Python3 Acknowledgments for the second edition Acknowledgments for the first edition Bibliography Index

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Book SynopsisThis exciting new edition covers the core subject areas of arithmetic, algebra, mensuration in 2D and 3D, trigonometry and geometry, graphs, calculus and statistics and probability for Marine Engineering students for the Merchant Navy OOW qualification.Initial examples have been designed purely to practise mathematical technique and, once these skills have been mastered, further examples focus on engineering situations where the appropriate skills may be utilised. The practical questions are primarily from a marine engineering background but questions from other disciplines, such as electrical engineering, will also be covered, and reference made to the use of advanced calculators where relevant.Table of Contents1. Indices and Logarithms \ 2. Algebra \ 3. Simple Equations and Transposition \ 4. Simultaneous Linear Equations \ 5. Quadratic and Cubic equations \ 6. Graphs \ 7. trigonometry and Geometry \ 8. Solution of Triangles \ 9. Mensuration of areas \ 10. Mensuration of Volumes and Masses \ 11. Differential Calculus \ 12. Integral Calculus and Advanced Applications \ 13. Statistics \ 14. Specimen Exam Questions and Worked Solutions \ Appendix I: the Basics \ Appendix II: Complex Numbers \ Appendix III: Laplace Transforms \ Appendix IV: Fourier Analysis \ Appendix V; Exam Standard Questions and Solutions \ Appendix VI: Formulae

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Book SynopsisA concise guide to the wonderful world of mathematics, that makes connections with the world around usTrade ReviewAn illuminating history of mathematics that also touches on fascinating philosophical questions surrounding maths. * Publishers Weekly *

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Book SynopsisCovered from the vantage point of a user of a commercial flow package, Essentials of Computational Fluid Dynamics provides the information needed to competently operate a commercial flow solver. This book provides a physical description of fluid flow, outlines the strengths and weaknesses of computational fluid dynamics (CFD), presents the basics of the discretization of the equations, focuses on the understanding of how the flow physics interact with a typical finite-volume discretization, and highlights the approximate nature of CFD. It emphasizes how the physical concepts (mass conservation or momentum balance) are reflected in the CFD solutions while minimizing the required mathematical/numerical background. In addition, it uses cases studies in mechanical/aero and biomedical engineering, includes MATLAB and spreadsheet examples, codes and exercise questions. The book also provides practical demonstrations on core principles and key behaviors and incorporates a wide rangeTrade Review"The book strikes a good balance between practical advice and mathematically oriented explanations. It covers some of the most important real-life CFD topics in depth, such as the issue of turbulence modeling, meshing, or the choice of the boundary conditions."Marek Behr, RWTH Aachen University, Germany"Well written and easy to understand. It describes the basic concepts of accuracy, artificial viscosity and stability in a systematic and logical way. Moreover, the introduction of [artificial] viscosity and flux limiters are rarely found or discussed in the other CFD textbooks. This is an excellent textbook to have for students, lecturers and practicing professionals alike. I would like to have this book on my shelf."Dr. K. Djidjeli, University of Southampton, UK"This relatively short book is intended for the user of commercial computational fluid dynamics (CFD) packages, as opposed to the developer of such programs. Müeller (Queen Mary Univ. of London, UK) taught CFD to undergraduate students for many years, and he developed the book to accompany a first course on the topic for aerospace or mechanical engineering students. The first eight chapters emphasize the basic physics and the microscopic description of the mathematical equations of fluid mechanics (both laminar and turbulent) and the description and application of finite element mesh modeling of these equations in the vicinity of various geometrical bodies, with appropriate boundary conditions. The sources of errors and the pros and cons of the various turbulent models are also described. Chapter 9 presents several case studies, and chapter 10, the appendix, is a program for a 2-D finite volume application. A short list of exercises follows each chapter. Students will need a solid grounding in basic fluid mechanics and numerical analysis to follow this text."CHOICE, July 2016 Issue"The book strikes a good balance between practical advice and mathematically oriented explanations. It covers some of the most important real-life CFD topics in depth, such as the issue of turbulence modeling, meshing, or the choice of the boundary conditions."Marek Behr, RWTH Aachen University, Germany"Well written and easy to understand. It describes the basic concepts of accuracy, artificial viscosity and stability in a systematic and logical way. Moreover, the introduction of [artificial] viscosity and flux limiters are rarely found or discussed in the other CFD textbooks. This is an excellent textbook to have for students, lecturers and practicing professionals alike. I would like to have this book on my shelf."Dr. K. Djidjeli, University of Southampton, UK"This relatively short book is intended for the user of commercial computational fluid dynamics (CFD) packages, as opposed to the developer of such programs. Müeller (Queen Mary Univ. of London, UK) taught CFD to undergraduate students for many years, and he developed the book to accompany a first course on the topic for aerospace or mechanical engineering students. The first eight chapters emphasize the basic physics and the microscopic description of the mathematical equations of fluid mechanics (both laminar and turbulent) and the description and application of finite element mesh modeling of these equations in the vicinity of various geometrical bodies, with appropriate boundary conditions. The sources of errors and the pros and cons of the various turbulent models are also described. Chapter 9 presents several case studies, and chapter 10, the appendix, is a program for a 2-D finite volume application. A short list of exercises follows each chapter. Students will need a solid grounding in basic fluid mechanics and numerical analysis to follow this text."CHOICE, July 2016 IssueTable of ContentsForeword -- 1 Introduction -- 1.1 CFD, the virtual wind tunnel -- 1.2 Examples of CFD applications -- 1.3 Prerequisites -- 1.4 Literature -- 1.5 Ingredients -- 1.6 Organisation of the chapters -- 1.7 Exercises -- 2 Physical and mathematical principles of modern CFD -- 2.1 The physical model -- 2.1.1 Continuum assumption -- 2.1.2 Lagrangian vs. Eulerian description -- 2.1.3 Conservation principles -- 2.2 The mathematical model: the equations of fluid flow -- 2.2.1 Mass conservation in 1-D -- 2.2.2 Mass conservation in 3-D -- 2.2.3 Divergence and gradient operators, total derivative -- 2.2.4 The total or material derivative -- 2.2.5 The divergence form of the total derivative -- 2.2.6 Reynolds’ transport theorem -- 2.2.7 Transport of a passive scalar -- 2.3 The momentum equations -- 2.3.1 Examples of momentum balance -- 2.3.2 The inviscid momentum equation — the Euler equation -- 2.3.3 The viscous momentum equations — Navier-Stokes -- 2.3.4 The incompressible Navier-Stokes equations -- 2.3.5 Energy balance -- 2.3.6 Summary of properties for the Navier-Stokes equations -- 2.4 Simplified model equations -- 2.4.1 Linear advection equation -- 2.4.2 Inviscid Burgers’ equation -- 2.4.3 Heat equation -- 2.5 Excercises -- 3 Discretisation of the equations -- 3.1 Discretisation of the linear advection equation -- 3.1.1 Finite difference discretisation of linear advection . -- 3.1.2 Solving the finite difference approximation -- 3.1.3 Mesh refinement -- 3.1.4 Finite volume discretisation of the 1-D advection . -- 3.1.5 Solving the finite volume approximation -- 3.1.6 Finite difference vs. finite volume formulations . . -- 3.2 Burgers’ equation: non-linear advection and conservation -- 3.3 Heat equation in 1-D -- 3.3.1 Discretising second derivatives -- 3.3.2 1-D Heat equation, differential form -- 3.3.3 Solving the 1-D heat equation -- 3.4 Advection equation in 2-D -- 3.4.1 Discretisation on a structured grid -- 3.5 Solving the Navier-Stokes equations -- 3.6 The main steps in the finite volume method -- 3.6.1 Discretisation on arbitrary grids -- 3.6.2 Transport through an arbitrary face -- 3.6.3 The concept of pseudotime-stepping -- 3.6.4 Time-stepping for compressible flows -- 3.6.5 Iterative methods for incompressible flows -- 3.6.6 The SIMPLE scheme -- 3.7 Exercises -- 4 Analysis of discretisations -- 4.1 Forward, backward and central differences -- 4.2 Taylor analysis: consistency, first- and second-order accuracy -- 4.2.1 Round-off errors -- 4.2.2 Order of accuracy and mesh refinement -- 4.3 Stability, artificial viscosity and second-order accuracy . . -- 4.3.1 Artificial viscosity -- 4.3.2 Artificial viscosity and finite volume methods -- 4.3.3 Stable second-order accurate discretisations for CFD -- 4.3.4 Monotonicity and second-order accuracy: limiters . -- 4.4 Summary of spatial discretisation approaches -- 4.5 Convergence of the time-stepping iterations -- 4.5.1 Explicit methods -- 4.5.2 Implicit methods -- 4.5.3 Increasing mesh resolution -- 4.5.4 Multigrid -- 4.6 Excercises -- 5 Boundary conditions and flow physics -- 5.1 Selection of boundary conditions -- 5.1.1 Some simple examples -- 5.1.2 Selecting boundary conditions to satisfy the equations -- 5.2 Characterisation of partial differential equations -- 5.2.1 Wave-like solutions: hyperbolic equations -- 5.2.2 Smoothing-type solutions: elliptic equations -- 5.2.3 The borderline case — parabolic equations -- 5.2.4 The domain of dependence, the domain of influence -- 5.2.5 Example of characterisation: surface waves -- 5.2.6 Compressible and incompressible flows -- 5.2.7 Characterisation of the Navier-Stokes equations . . -- 5.3 Choice of boundary conditions -- 5.3.1 Boundary conditions for incompressible flow -- 5.3.2 Boundary conditions for hyperbolic equations -- 5.4 Exercises -- 6 Turbulence modelling -- 6.1 The challenges of turbulent flow for CFD -- 6.2 Description of turbulent flow -- 6.3 Self-similar profiles through scaling -- 6.3.1 Laminar velocity profiles -- 6.3.2 Turbulent velocity profile -- 6.4 Velocity profiles of turbulent boundary layers -- 6.4.1 Outer scaling: friction velocity -- 6.4.2 Inner scaling: non-dimensional wall distance y+ -- 6.5 Levels of turbulence modelling -- 6.5.1 Direct Numerical Simulation (DNS) -- 6.5.2 Reynolds-Averaged Navier-Stokes (RANS) -- 6.5.3 Large Eddy (LES) & Detached Eddy Simulation (DES) -- 6.5.4 Summary of approaches to turbulence modelling . -- 6.6 Eddy viscosity models -- 6.6.1 Mixing length model -- 6.6.2 The Spalart-Allmaras model -- 6.6.3 The k—e model -- 6.7 Near-wall mesh requirements -- 6.7.1 Estimating the wall distance of the first point -- 6.8 Exercises -- 7 Mesh quality and grid generation -- 7.1 Influence of mesh quality on the accuracy -- 7.1.1 Maximum angle condition -- 7.1.2 Regularity -- 7.1.3 Size variation -- 7.2 Requirements for the ideal mesh generator -- 7.3 Structured grids -- 7.3.1 Algebraic grids using transfinite interpolation -- 7.4 Unstructured grids -- 7.4.1 The Advancing Front Method -- 7.4.2 Delaunay triangulation -- 7.4.3 Hierarchical grid Methods -- 7.4.4 Hexahedral unstructured mesh generation -- 7.4.5 Hybrid mesh generation for viscous flow -- 7.5 Mesh adaptation -- 7.5.1 Mesh movement: r-refinement -- 7.5.2 Mesh refinement: h-refinement -- 7.6 Exercises -- 8 Analysis of the results -- 8.1 Types of errors -- 8.1.1 Incorrect choice of boundary conditions -- 8.1.2 Insufficient convergence -- 8.1.3 Artificial viscosity -- 8.1.4 Modelling errors -- 8.2 Mesh convergence -- 8.2.1 Cost of error reduction -- 8.3 Validation -- 8.4 Summary -- 8.5 Exercises -- 9 Case studies -- 9.1 Aerofoil in 2-D, inviscid flow -- 9.1.1 Case description -- 9.1.2 Flow physics -- 9.1.3 Meshes -- 9.1.4 Simulation results for the C-mesh -- 9.1.5 Comparison of C- vs O-mesh -- 9.1.6 Analysis of lift and drag values -- 9.2 Blood vessel bifurcation in 2-D -- 9.2.1 Geometry and flow parameters -- 9.2.2 Flow physics and boundary conditions -- 9.2.3 Velocity and pressure fields -- 9.2.4 Velocity profile in the neck -- 9.2.5 Effect of outlet boundary condition -- 9.3 Aerofoil in 2-D, viscous flow -- 9.3.1 Flow physics -- 9.3.2 Turbulence modelling -- 9.3.3 Flow results -- 9.3.4 Lift and drag -- 10 Appendix -- 10.1 Finite-volume implementation of 2-D advection -- Bibliography -- Index.

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Book SynopsisPacked with insights, Lorenzo Bergomi's Stochastic Volatility Modeling explains how stochastic volatility is used to address issues arising in the modeling of derivatives, including: Which trading issues do we tackle with stochastic volatility? How do we design models and assess their relevance? How do we tell which models are usable and when does calibration make sense? This manual covers the practicalities of modeling local volatility, stochastic volatility, local-stochastic volatility, and multi-asset stochastic volatility. In the course of this exploration, the author, Risk's 2009 Quant of the Year and a leading contributor to volatility modeling, draws on his experience as head quant in Société Générale's equity derivatives division. Clear and straightforward, the book takes readers through various modeling challenges, all originating in actual trading/hedging issTrade Review"With this book, Bergomi has actually offered a precious gift to the whole quant community: his very rich and concrete experience on volatility modelling organized in 500 pages and 12 chapters full of insights; and to the academic community as well: new ideas, points of view, and questions that could well feed their research for years."- Julien Guyon, Quantitative Finance"[Stochastic Volatility Modeling] should be read by practitioners, as it is the only one providing a strong quantitative framework to the (Delta and Vega) hedging of Equity derivatives. It should also be read by academics who will benefit from practical insights. It should finally be read by (motivated) students, who will definitely find areas to dig deeper in, both theoretically and numerically […] This book should be seen as a strong case for the need of a deeper understanding of derivatives' modelling (and their risks). Lorenzo Bergomi provides us here with new tools (variance curve models, metrics such as the At-The-Money Forward Skew and the Skew Stickiness Ratio) as well as new results on hedging and P&L computations of actual trading strategies, which have been so far too much overlooked in mathematical finance research. Welcome to the new era of Derivatives Modelling!"- Antoine Jacquier, Newsletter of the Bachelier Finance Society, November 2017Table of ContentsIntroduction. Local volatility. Forward-start options. Stochastic volatility: introduction. Variance swaps. An example of one-factor dynamics: the Heston model. Forward variance models. The smile of stochastic volatility models. Linking static and dynamic properties of stochastic volatility models. What causes equity smiles? Multi-asset stochastic volatility. Local-stochastic volatility models.

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Book SynopsisThis book is a self-contained treatment of all the mathematics needed by undergraduate and masters-level students of economics, econometrics and finance. Building up gently from a very low level, the authors provide a clear, systematic coverage of calculus and matrix algebra. The second half of the book gives a thorough account of probability, dynamics and static and dynamic optimisation. The last four chapters are an accessible introduction to the rigorous mathematical analysis used in graduate-level economics. The emphasis throughout is on intuitive argument and problem-solving. All methods are illustrated by examples, exercises and problems selected from central areas of modern economic analysis. The book's careful arrangement in short chapters enables it to be used in a variety of course formats for students with or without prior knowledge of calculus, for reference and for self-study.The preface to the new edition and full table of contents are available from https://www.manchesterhive.com/page/mathematics-for-economists-supplementary-materialsTrade Review'This is the best mathematics for economists textbook that I have come across. It is very clearly written, starts at a basic level, and gradually advances all the way up to dynamic optimization in continuous time. I find that students understand dynamic economic models much better after having studied Pemberton and Rau's textbook.' Paul S. Segerstrom, Professor of International Economics, Stockholm School of Economics -- .Table of Contents1 Linear equations2 Linear inequalities3 Sets and functions4 Quadratics, indices and logarithms5 Sequences, series and limits6 Introduction to differentiation7 Methods of differentiation8 Maxima and minima9 Exponential and logarithmic functions10 Approximations11 Matrix algebra12 Systems of linear equations 13 Determinants and quadratic forms 14 Functions of several variables 15 Implicit relations16 Optimisation with several variables17 Principles of constrained optimisation18 Further topics in constrained optimisation 19 Integration 20 Aspects of integral calculus21 Probability22 Expectation 23 Introduction to dynamics 24 The circular functions25 Complex numbers 26 Further dynamics 27 Eigenvalues and eigenvectors 28 Dynamic systems 29 Dynamic optimisation in discrete time 30 Dynamic optimisation in continuous time31 Introduction to analysis32 Metric spaces and existence theorems33 Further linear algebra34 Convex analysis Notes on further readingIndex

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Book SynopsisContains Nearly 100 Pages of New MaterialThe recent financial crisis has shown that credit risk in particular and finance in general remain important fields for the application of mathematical concepts to real-life situations. While continuing to focus on common mathematical approaches to model credit portfolios, Introduction to Credit Risk Modeling, Second Edition presents updates on model developments that have occurred since the publication of the best-selling first edition.New to the Second Edition An expanded section on techniques for the generation of loss distributions Introductory sections on new topics, such as spectral risk measures, an axiomatic approach to capital allocation, and nonhomogeneous Markov chains Updated sections on the probability of default, exposure-at-default, loss-given-default, and regulatory capital A new section on multi-period models Recent developments in structured credit The financial crisis illustrated the importance of effectively communicating model outcomes and ensuring that the variation in results is clearly understood by decision makers. The crisis also showed that more modeling and more analysis are superior to only one model. This accessible, self-contained book recommends using a variety of models to shed light on different aspects of the true nature of a credit risk problem, thereby allowing the problem to be viewed from different angles. Trade Review… this is a concise book for exploring the limitations of credit risk models and, to a lesser degree, asset valuation models. Read this book for a companionable journey through some of the limiting assumptions that make the models tractable. … it may be the first one [book] that wastes no time in getting to the point, and moving on.—Annals of Actuarial Science, Vol. 5, June 2011Bluhm, Overbeck, and Wagner offer help to mathematicians and physicists leaving the academy to work as risk or portfolio managers. For this introduction, they focus on main themes rather than details, and on portfolio rather than single obligor risk. … this second [edition] takes account of problems in the banking industry [from] 2007-09.—SciTech Book News, February 2011Having a valid and up-to-date credit risk model (or models) is one of the most important aspects in today’s risk management. The models require quite a bit of technical as well as practical know-how. Introduction to Credit Risk Modeling serves this purpose well. … it would best fit the practitioner’s needs. For students it can also be of great use, as an introductory course for credit risk models. A great first step into credit risk modeling. … The book provides a nice coherent overview of the methods used in capital allocation. … The book is written in a mixture of theorem-proof and applied styles. … I find this rather pleasing, as it gives the reader the edge of theoretical exposition, which is extremely important. … One really useful side of the book is that it provides step-by-step guide to methods presented. This should be really appreciated in industry and among students. …—MAA Reviews, January 2011Praise for the First EditionThis is an outstanding book on the default models that are used internally by financial institutions. This practical book delves into the mathematics, the assumptions and the approximations that practitioners apply to make these models work.—Glyn A. Holton, Contingency AnalysisThere are so many financial tools available today and numbers are likely to grow in the future. If you work in this field of credit risk modeling, it is worth looking at the theoretical background, and this book is a well-rounded introduction.—Journal of the Operational Research SocietyAs an introductory survey, it does an admirable job. … this book is an important guide into the field of credit risk models. Mainly for the practitioner … It is well written, fairly easy to follow.—Horst Behncke, Zentralblatt MATH… this is a concise book for exploring the limitations of credit risk models and, to a lesser degree, asset valuation models. Read this book for a companionable journey through some of the limiting assumptions that make the models tractable. … it may be the first one [book] that wastes no time in getting to the point, and moving on.—Annals of Actuarial Science, Vol. 5, June 2011Bluhm, Overbeck, and Wagner offer help to mathematicians and physicists leaving the academy to work as risk or portfolio managers. For this introduction, they focus on main themes rather than details, and on portfolio rather than single obligor risk. … this second [edition] takes account of problems in the banking industry [from] 2007-09.—SciTech Book News, February 2011Having a valid and up-to-date credit risk model (or models) is one of the most important aspects in today’s risk management. The models require quite a bit of technical as well as practical know-how. Introduction to Credit Risk Modeling serves this purpose well. … it would best fit the practitioner’s needs. For students it can also be of great use, as an introductory course for credit risk models. A great first step into credit risk modeling. … The book provides a nice coherent overview of the methods used in capital allocation. … The book is written in a mixture of theorem-proof and applied styles. … I find this rather pleasing, as it gives the reader the edge of theoretical exposition, which is extremely important. … One really useful side of the book is that it provides step-by-step guide to methods presented. This should be really appreciated in industry and among students. …—MAA Reviews, January 2011Praise for the First EditionThis is an outstanding book on the default models that are used internally by financial institutions. This practical book delves into the mathematics, the assumptions and the approximations that practitioners apply to make these models work.—Glyn A. Holton, Contingency AnalysisThere are so many financial tools available today and numbers are likely to grow in the future. If you work in this field of credit risk modelling it is worth looking at the theoretical background, and this book is a well-rounded introduction.—Journal of the Operational Research SocietyAs an introductory survey it does an admirable job. … this book is an important guide into the field of credit risk models. Mainly for the practitioner … It is well written, fairly easy to follow.—Horst Behncke, Zentralblatt MATHTable of ContentsThe Basics of Credit Risk Management. Modeling Correlated Defaults. Asset Value Models. The CreditRisk+ Model. Risk Measures and Capital Allocation. Term Structure of Default Probability. Credit Derivatives. Collateralized Debt Obligations. References. Index.

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Book SynopsisMathematical Methods and Models in Composites (Second Edition) provides an in-depth treatment of modern and rigorous mathematical methods and models applied to composites modeling on the micro-, meso-, and macro scale. There has been a steady growth in the diversity of such methods and models that are used in the analysis and characterization of composites, their behavior, and their associated phenomena and processes. This second edition expands upon the success of the first edition, and has been substantially revised and updated.Written by well-known experts in different areas of applied mathematics, physics, and composite engineering, this book is mainly focused on continuous fiber reinforced composites and their ever increasing range of applications (for example, in the aerospace industry), though it also covers other kind of composites. The chapters cover a range of topics including, but not limited to: scaling and homogenization procedures in composites, thin plate and wave solutions in anisotropic materials, laminated structures, fiber-reinforced nonlinearly elastic solids, buckling and postbuckling, fracture and damage analysis of composites, and highly efficient methods for simulation of composites manufacturing such as resin transfer molding. The results presented are useful for the design, fabrication, testing and industrial applications of composite components and structures.This book is an essential reference for graduate and doctoral students, as well as researchers in mathematics, physics and composite engineering. Explanations and references in the book are sufficiently detailed so as to provide the necessary background to further investigate the fascinating subject of composites modeling and explore relevant research literature. It is also suitable for non-experts who wish to have an overview of the mathematical methods and models used for composites, and of the open problems in this area that require further research.

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Book SynopsisEste livro é uma introdução ao Cálculo Científico. O seu objectivo consiste em apresentar vários métodos numéricos para resolver no computador certos problemas matemáticos que não podem ser tratados de maneira mais simples. São abordadas questões clássicas como o cálculo de zeros ou de integrais de funções contínuas, a resolução de sistemas lineares, a aproximação de funções por polinómios e a construção de aproximações precisas de soluções de equações diferenciais. Todos os algoritmos são apresentados nas linguagens de programação MATLAB e Octave, cujos comandos e instruções principais se introduzem de forma gradual, visando em particular a sua compatibilidade nas duas linguagens. O leitor pode assim verificar experimentalmente propriedades teóricas como a estabilidade, a precisão e a complexidade. O livro inclui ainda a resolução de problemas através de numerosos exercícios e exemplos, frequentemente ligados a aplicações concretas. No fim de cada capítulo encontra-se uma secção específica que apresenta assuntos não abordados e as referências bibliográficas que permitem ao leitor aprofundar os conhecimentos adquiridos.Table of ContentsO que não se pode ignorar.- Equações não lineares.- Aproximação de funções e de dados.- Derivação e integração numéricas.- Sistemas lineares.- Valores próprios e vectores próprios.- Equações diferenciais ordinárias.- Métodos numéricos para problemas de valores iniciais e na fronteira.- Soluções dos exercícios.

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Book SynopsisWritten in a straightforward and easily accessible style, this volume is suitable as a textbook for advanced undergraduate or first-year graduate students in mathematics, physical sciences, and engineering. The aim is to provide students with a strong background in the theories of Ordinary Differential Equations, Dynamical Systems and Boundary Value Problems, including regular and singular perturbations. It is also a valuable resource for researchers.This volume presents an abundance of examples in physical and biological sciences, and engineering to illustrate the applications of the theorems in the text. Readers are introduced to some important theorems in Nonlinear Analysis, for example, Brouwer fixed point theorem and fundamental theorem of algebras. A chapter on Monotone Dynamical Systems takes care of the new developments in Ordinary Differential Equations and Dynamical Systems.In this third edition, an introduction to Hamiltonian Systems is included to enhance and complete its coverage on Ordinary Differential Equations with applications in Mathematical Biology and Classical Mechanics.

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Book SynopsisThis open access book covers the most cutting-edge and hot research topics and fields of post-quantum cryptography. The main purpose of this book is to focus on the computational complexity theory of lattice ciphers, especially the reduction principle of Ajtai, in order to fill the gap that post-quantum ciphers focus on the implementation of encryption and decryption algorithms, but the theoretical proof is insufficient. In Chapter 3, Chapter 4 and Chapter 6, author introduces the theory and technology of LWE distribution, LWE cipher and homomorphic encryption in detail. When using random analysis tools, there is a problem of "ambiguity" in both definition and algorithm. The greatest feature of this book is to use probability distribution to carry out rigorous mathematical definition and mathematical demonstration for various unclear or imprecise expressions, so as to make it a rigorous theoretical system for classroom teaching and dissemination. Chapters 5 and 7 further expand and improve the theory of cyclic lattice, ideal lattice and generalized NTRU cryptography.This book is used as a professional book for graduate students majoring in mathematics and cryptography, as well as a reference book for scientific and technological personnel engaged in cryptography research.Table of ContentsChapter 1. Gauss lattice theory.- Chapter 2. Reduction principle of Ajtai.- Chapter 3. Learning with errors.- Chapter 4. LWE cryptosystem.- Chapter 5. Cyclic lattice and Ideal lattice.- Chapter 6. Fully Homomorphic Encryption.- Chapter 7. General NTRU cryptosystem.

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Book SynopsisTrade Review"[A] treat . . . I think that students studying this material would not only find Paul’s treatments easy to follow, but would benefit greatly by learning something of the history that surrounds the development of the analysis and applications of the heat equation."---Jim Stein, New Books in Mathematics"Nahin knows how to write a book mixing physics and (a lot of) mathematics and (still) make it readable."---Adhemar Bultheel, European Mathematical Society"Hot Molecules, Cold Electrons has provided me with a new perspective on what I thought to be a rather tedious topic. . . . I would recommend it to anyone who wants to work out their maths muscles and learn something along the way."---Louis Ammon, Chemistry World

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Book SynopsisHolland, this persuasively argued and firmly scientific book exposes some of history's most persistent bamboozling. Be forewarned, you may never be taken in again!Trade ReviewWhat stands out in this book is that Broch allows the facts of his arguments to impress on their own, and they are impressive. Moreover, readers will be wowed by what he has dug up. -- Norm Goldman BookPleasures.com 2009 Backed up by easily understood charts and diagrams, Exposed! is witty but substantial science for the layman. -- Ken Lauderdale AUTHOR Magazine 2009 Offers some great material for conversation! Bluesci 2010Table of ContentsForeword: Charlatanism or Science: Which Will Prevail?Introduction1. DowsingSticks That Move on Their OwnBrilliant WavesUnconscious Movements?Dowsing and Waterwheels2. Become ClairvoyantExtrasensory PerceptionPsychokinesisPerception at a DistanceHypnosis and TelepathyClairvoyanceMusculokinesis3. How to Recognize Deceptive Techniques in ArgumentThe Circularity TechniqueThe Snowball TechniqueThe Escalation TechniqueThe "Little Streams" EffectAccounting and Errors4. Cast Your HoroscopeQuiet Please, Turning in Progress!SerpentariusLaplanders without Horoscopes?Whom to Believe?The Effects of Mars, Jupiter, Saturn, and All the RestDouble or Nothing5. Miracle or Fraud?Holy Hemoglobin!A Do-It-Yourself Shroud of TurinA 3-D ImageWhat If Jesus Wasn't Naked?The Holy Shroud of Turin Is Not a ForgeryThe Body of ChristMade in France and Stolen from the Religious6. Develop Your PowersGlowing Embers Held in Bare HandsThe Uses of Short ArmsThe Life Force Energy, QiMeasuring the Vital ForceThe Ouija GlassTurn the TablesMarvelous MechanismsMiraculous VasesBetter than The Da Vinci Code7. More MysteriesPlace Your BetsThe Haunted HouseThe Dog Who Could Measure DistancesInitiated by a Tibetan MasterConclusionIndex

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Book SynopsisFrom the first chapter through the last, readers eager to learn more about the connections between mathematics and music will find a comprehensive textbook designed to satisfy their natural curiosity.Trade ReviewOverall, From Music to Mathematics is a pleasing and well-written book that is accessible for everyone who wants to explore the connections between music and mathematics. Gareth Roberts does a great job of making numerous suggestions on how music can be used to illuminate mathematical concepts... From Music to Mathematics is very enjoyable to read - not only for students, but for anyone who loves music and mathematics. Musicae Scientiae Overall, I strongly recommend this as an excellent basis for teaching. MathSciNetTable of ContentsPrefaceAcknowledgmentsIntroduction1. Rhythm1.1. Musical Notation and a Geometric Property1.1.1. Duration1.1.2. Dots1.2. Time Signatures1.2.1. Musical examples1.2.2. Rhythmic repetition1.3. Polyrhythmic Music1.3.1. The least common multiple1.3.2. Musical examples1.4. A Connection with Sanskrit PoetryReferences for Chapter 12. Introduction to Music Theory2.1. Musical Notation2.1.1. The common clefs2.1.2. The piano keyboard2.2. Scales2.2.1. Chromatic scale2.2.2. Whole-tone scale2.2.3. Major scales2.2.4. Minor scales2.2.5. Why are there 12 major scales?2.3. Intervals and Chords2.3.1. Major and perfect intervals2.3.2. Minor intervals and the tritone2.3.3. Chords2.4. Tonality, Key Signatures, and the Circle of Fifths2.4.1. The critical tonic-dominant relationship2.4.2. Key signatures2.4.3. The circle of fifths2.4.4. Transposition2.4.5. The evolution of polyphonyReferences for Chapter 23. The Science of Sound3.1. How We Hear3.1.1. The magnificent ear-brain system3.2. Attributes of Sound3.2.1. Loudness and decibels3.2.2. Frequency3.3. Sine Waves3.3.1. The sine function3.3.2. Graphing sinusoids3.3.3. The harmonic oscillator3.4. Understanding Pitch3.4.1. Residue pitch3.4.2. A vibrating string3.4.3. The overtone series3.4.4. The starting transient3.4.5. Resonance and beats3.5. The Monochord LabReferences for Chapter 34. Tuning and Temperament4.1. The Pythagorean Scale4.1.1. Consonance and integer ratios4.1.2. The spiral of fifths4.1.3. The overtone series revisited4.2. Just Intonation4.2.1. Problems with just intonation4.2.2. Major versus minor4.3. Equal Temperament4.3.1. A conundrum and a compromise4.3.2. Rational and irrational numbers4.3.3. Cents4.4. Comparing the Three Systems4.5. Strähle's Guitar4.5.1. An ingenious construction4.5.2. Continued fractions4.5.3. On the accuracy of Strähle's method4.6. Alternative Tuning Systems4.6.1. The significance of log2(3/2)4.6.2. Meantone scales4.6.3. Other equally tempered scalesReferences for Chapter 45. Musical Group Theory5.1. Symmetry in Music5.1.1. Symmetric transformations5.1.2. Inversions5.1.3. Other examples5.2. The Bartók Controversy5.2.1. The Fibonacci numbers and nature5.2.2. The golden ratio5.2.3. Music for Strings, Percussion and Celesta5.3. Group Theory5.3.1. Some examples of groups5.3.2. Multiplication tables5.3.3. Symmetries of the square5.3.4. The musical subgroup of D4References for Chapter 56. Change Ringing6.1. Basic Theory, Practice, and Examples6.1.1. Nomenclature6.1.2. Rules of an extent6.1.3. Three bells6.1.4. The number of permissible moves6.1.5. Example6.1.6. Example6.2. Group Theory Revisited6.2.1. The symmetric group Sn6.2.2. The dihedral group revisited6.2.3. Ringing the cosets6.2.4. ExampleReferences for Chapter 67. Twelve-Tone Music7.1. Schoenberg's Twelve-Tone Method of Composition7.1.1. Notation and terminology7.1.2. The tone row matrix7.2. Schoenberg's Suite für Klavier, Op. 257.3. Tone Row Invariance7.3.1. Using numbers instead of pitches7.3.2. Further analysis7.3.3. Tritone symmetry7.3.4. The number of distinct tone rows7.3.5. Twelve-tone music and group theoryReferences for Chapter 78. Mathematical Modern Music8.1. Sir Peter Maxwell Davies8.1.1. Magic squares8.1.2. Some examples8.1.3. The magic constant8.1.4. A Mirror of Whitening Light8.2. Steve Reich8.2.1. Clapping Music8.2.2. Phase shifts8.3. Xenakis8.3.1. A Greek architect8.3.2. Metastasis and the Philips Pavilion8.3.3. Pithoprakta8.4. Final Project8.4. References for Chapter 8CreditsIndex

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Book SynopsisThis eighth volume of Imagine Math is different from all the previous ones. The reason is very clear: in the last two years, the world changed, and we still do not know what the world of tomorrow will look like. Difficult to make predictions. This volume has a subtitle Dreaming Venice. Venice, the dream city of dreams, that miraculous image of a city on water that resisted for hundreds of years, has become in the last two years truly unreachable. Many things tie this book to the previous ones. Once again, this volume also starts like Imagine Math 7, with a homage to the Italian artist Mimmo Paladino who created exclusively for the Imagine Math 8 volume a new series of ten original and unique works of art dedicated to Piero della Francesca. Many artists, art historians, designers and musicians are involved in the new book, including Linda D. Henderson and Marco Pierini, Claudio Ambrosini and Davide Amodio. Space also for comics and mathematics in a Disney key. Many applications, from Origami to mathematical models for world hunger. Particular attention to classical and modern architecture, with Tullia Iori.As usual, the topics are treated in a way that is rigorous but captivating, detailed and full of evocations. This is an all-embracing look at the world of mathematics and culture.Table of ContentsPart I Homage to Mimmo Paladino: 1 Michele Emmer, 8 Works by Mimmo Paladino.- Part II Dreaming in Venice: 2 Michele Emmer, Dreaming Venice.- 3 Sandro G. Franchini, The Napoleonic Fresco in Palazzo Loredan, Thinking of the Bicentennial.- 4 Giovanni Zarotti, MOSE, the Defence System to Safeguard Venice and its Lagoon.- Part III Art and Mathematics: 5 Marco Andreatta, The Rise of Abstractionism: Art and Mathematics.- 6 Clemena Antonova, Aestheticizing an Einsteinian World: The Idea of Space-time in Russian Literary Theory and in Art Criticism.- 7 Michele Emmer, Cagli, Olson, Coxeter.- 8 Emanuela Fiorelli, A Fault in the Order: Thoughts on Frayed Wires.- 9 Linda Dalrymple Henderson, The Multivalent Fourth Dimension and the Impact of Claude Bragdon’s A Primer of Higher Space on Twentieth and Twenty-First Century Art.- 10 Martin Kemp, “Where Natural Law Holds No Sway”. Geometrical Optics and Divine Light in Dante, Michelangelo and Raphael.- 11 Marco Pierini, On The Classification and Recording of Colours According to the Methods of the Painter Adolfo Ferraris: A Brief Note.- 12 Anthony Phillips, Colored Figurative Tilings in Pre-Incan Textiles.- 13 Tony Robbin, The Artistic (and Practical) Utility of Hyperspace.- 14 Carla Scagliosi, From Vision to Perception: Chardin’s Eighteenth Century Cultural and Scientific Approach to Painting (and Soap Bubbles).- Part IV Architecture and Mathematics: 15 Michele Emmer and Fulvio Wirz, Andrea Palladio and Zaha Hadid.- Tullia Iori, 16 Sergio Musmeci and the Calculation of the Form.- 17 Enrico Giusti, Twenty Years of Il Giardino di Archimede.- Part V Design and Mathematics: 18 George W. Hart, The Multifaceted Abraham Sharp.- 19 Giordano Bruno, Massimo Ciafrei, Claudia Iannilli, Giacomo Fabbri, and Marzia Lupi, Learning by Metadesigning.- Part VI Homage to Roger Penrose: 20 Michele Emmer, A Little Homage to Roger Penrose.- Part VII Mathematics and Physics: 21 Amaury Mouchet, Identity and Difference: How Topology Helps to Understand Quantum Indiscernability.- 22 Denis Weaire, Stefan Hutzler, Ali Irannezhad and Kym Cox, Physics in a Small Bedroom.- Part VIII Mathematics and Applications: 23 Maurizio Falcone, The Train of Artificial Intelligence.- 24 Paolo Marcellini and Emanuele Paolini, Origami and Fractal Solutions of Differential Systems.- 25 Gian Marco Todesco, The Tangled Allure of Recursion.- 26 Marcela Villarreal, Desert Locusts: Can Mathematical Models Help to Control Them?.- Part IX Literature and Mathematics: 27 Marco Abate, Soul Searchin’.- 28 Francesca M. Dovetto, Geometric Metaphors and Linguistic Genealogy.- 29 Jean-Marc Lévy-Leblond, A Mathematical Physicist in Hell. Galileo on the Geometry of Dante's Inferno.- 30 Luca Viganò, Don’t Tell Me the Cybersecurity Moon is Shining... Cybersecurity Show and Tell.- Part X Music and Mathematics: 31 Claudio Ambrosini, Sounds, Numbers and Other Fancies.- 32 Davide Amodio, Euler and Music Musing Euler’s Identity.- 33 Francesco Ciccone, The Shapes of Violin.- Part XI Women and Mathematics: 34 Chiara de Fabritiis, Women, Academia, Math: an Ephemeral Golden Braid.- 35 Elisabetta Strickland, Women in Charge of Mathematics.- Part XII Comics and Mathematics: 36 Valerio Held , Without Title.- 37 Roberto Natalini and Andrea Plazzi, A Comics & Science Experience.- 38 Alberto Saracco, Is Math Useful?.

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Book SynopsisThis book reveals glimpses of how the quantum physics of atoms and molecules influences, and even controls, the way our cells function and how we and our fellow animals interact with our environment. Simply put, how birds fly and why grass grows.Certainly, biochemistry and molecular biology are the foundations for the biology of living cells, but there is more—quantum coherence and entanglement influencing the functioning of proteins and enzymes, and strictly speaking, without the quantum phenomena we wouldn’t even be here.In the end, however, this book is based on the solid ground of science, presenting the many fascinating phenomena of how quantum physics makes life possible without any unwarranted mystification.Table of Contents1. Life and Quantum Physics 2. Our World Is Just a Small Part of the Whole 3. The Gecko and Life Upside Down 4. The Quantized World 5. Evolution: About the Origin of Life 6. From the Big Bang to Black Holes 7. As Time Goes By: The Arrow of Time 8. The Art of Finding Your Way Back Home 9. The Vision in New Light 10. Photosynthesis and the Golf Putt 11. The Respiratory Chain Sustains Our Lives 12. A Sense of Smell 13. DNA Repair: A Matter of Survival and Development 14. Quantum Physics in Diagnostics and Therapy 15. Not More Mysterious Than Necessary 16. Consciousness: The Greatest Mystery 17. A Glance at the Future of Quantum and Life

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Book SynopsisPraise for the First Edition An indispensable addition to any serious collection on lifetime data analysis and . . . a valuable contribution to the statistical literature. Highly recommended . . . -Choice This is an important book, which will appeal to statisticians working on survival analysis problems. -Biometrics A thorough, unified treatment of statistical models and methods used in the analysis of lifetime data . . . this is a highly competent and agreeable statistical textbook. -Statistics in Medicine The statistical analysis of lifetime or response time data is a key tool in engineering, medicine, and many other scientific and technological areas. This book provides a unified treatment of the models and statistical methods used to analyze lifetime data. Equally useful as a reference for individuals interested in the analysis of lifetime data and as a text for advanced students, Statistical Models and Methods for Lifetime Data, SecoTrade Review“...a welcome addition to the literature on survival analysis...for a unified and thorough reference of classical theory and models, this book is an excellent choice.” (Journal of the American Statistical Association, March 2004) "This book is a role-model for other who are planning to write books…every statistician and applied researcher ought to have this book in their collection." (Journal of Statistical Computation and Simulation, October 2003) "...expanded and updated with recent research...a valuable reference...this book...merits a place on the bookshelf of anyone concerned with the analysis of lifetime data from any field. (Technometrics, Vol. 45, No. 3, August 2003) "...updated version of the popular text...this excellent book will serve as either a reference or a graduate-level textbook." (Short Book Reviews, Vol. 23, No. 2, August 2003) "...excellent...provides a wealth of information for those familiar with the area." (Pharmaceutical Research, Vol. 20, No. 9, September 2003) "...the author's aim is to cover lifetime data analysis without concentrating exclusively on any field of applications...he succeeds quite well..." (Zentralblatt Math, 2003) “...rewritten to reflect new developments...” (Quarterly of Applied Mathematics, Vol. LXI, No. 2, June 2003) "Compared with the large number of other good textbooks in the this field, this is one of the best. I highly recommend that all applied statisticians add this volume to their libraries." (Applied Clinical Trials, May 2003)Table of ContentsBasic Concepts and Models. Observation Schemes, Censoring and Likelihood. Some Nonparametric and Graphical Procedures. Inference Procedures for Parametric Models. Inference procedures for Log-Location-Scale Distributions. Parametric Regression Models. Semiparametric Multiplicative Hazards Regression Models. Rank-Type and Other Semiparametric Procedures for Log-Location-Scale Models. Multiple Modes of Failure. Goodness of Fit Tests. Beyond Univariate Survival Analysis. Appendix A. Glossary of Notation and Abbreviations. Appendix B. Asymptotic Variance Formulas, Gamma Functions and Order Statistics. Appendix C. Large Sample Theory for Likelihood and Estimating Function Methods. Appendix D. Computational Methods and Simulation. Appendix E. Inference in Location-Scale Parameter Models. Appendix F. Martingales and Counting Processes. Appendix G. Data Sets. References.

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Book SynopsisTrade Review"This is necessarily a very heavily mathematical book, which nevertheless manages to balance the need for such detail with an awareness of the historical context - great effort appears to have been taken, for example, to ensure that Cartan’s mathematics is interpreted on his terms, rather than in a modern way. The referencing throughout is sufficiently detailed to enable the reader to follow up on any points of interest, and a comprehensive index makes the book easy to navigate. This is an extremely valuable contribution to the study of the history of modern mathematics." --Zentralblatt MathTable of Contents1. Lie on the backstage2. Cartan’s doctoral dissertation3. Infinite Continuous Groups 1883-19024. Exterior Differential Systems5. Cartan’s Theory (1902-1909)6. The method of moving frames7. The geometry of continuous groups8. Conclusion

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This textbook provides a clear and concise introduction to both theory and application of fluid dynamics. It has a wide scope, frequent references to experiments, and numerous exercises (with hints and answers).

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Book SynopsisMathematics plays a key part in every quantitative and theoretical subject, and is taught to all science and engineering students. Foundations of Science Mathematics bridges the gap between school and university, and spans a large range of topics, from basic arithmetic and algebra to calculus, Fourier transforms, and elementary data analysis. Problems and worked solutions are presented in an informal and readable tutorial style, making the text accessible to the novice, while its concise nature ensures that it is a useful reference for the experienced professional.The first edition primer and its companion ''Worked Problems'' workbook are combined in this new edition, and a new chapter on data analysis has been added to ensure the book remains as comprehensive and useful to students as possible.Trade ReviewThe answers to the worked examples are superb, very instructive, and include detailed sketches. * Dr Athanasia Dervisi, Cardiff University *There is a selection of worked examples in a chemistry context which help students to apply maths more efficiently in their chemistry modules. * Dr Gita Sedghi, University of Liverpool *Excellent, concise coverage of basic algebra. * Prof Scott Woodley, University College London *Table of Contents1: Basic algebra and arithmetic 2: Curves and graphs 3: Trigonometry 4: Differentiation 5: Integration 6: Taylor series 7: Complex numbers 8: Vectors 9: Matricies 10: Partial differentiation 11: Line integrals 12: Multiple integrals 13: Ordinary differential equations 14: Partial differential equations 15: Fourier series and transforms 16: Data analysis

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Book SynopsisHow is a subway map different from other maps? What makes a knot knotted? What makes the Möbius strip one-sided? These are questions of topology, the mathematical study of properties preserved by twisting or stretching objects. In the 20th century topology became as broad and fundamental as algebra and geometry, with important implications for science, especially physics.In this Very Short Introduction Richard Earl gives a sense of the more visual elements of topology (looking at surfaces) as well as covering the formal definition of continuity. Considering some of the eye-opening examples that led mathematicians to recognize a need for studying topology, he pays homage to the historical people, problems, and surprises that have propelled the growth of this field. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.Trade ReviewThe book is written in an intuitive, informal and motivating style, with emphasis on concepts, ideas, examples and historical comments, and can be recommended as parallel reading for students of a basic course in topology. * Bruno Zimmermann, zbMATH *Table of Contents1: What is Topology? 2: Making Surfaces 3: Thinking Continuously 4: The Plane and Other Spaces 5: Flavours of Topology 6: More on Surfaces 7: Knot to Be Historical Timeline Further Reading Index

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Book SynopsisA new and updated edition of the successful Statistical Mechanics: Entropy, Order Parameters and Complexity from 2006. Statistical mechanics is a core topic in modern physics. Innovative, fresh introduction to the broad range of topics of statistical mechanics today, by brilliant teacher and renowned researcher.Trade ReviewReview from previous edition Since the book treats intersections of mathematics, biology, engineering, computer science and social sciences, it will be of great help to researchers in these fields in making statistical mechanics useful and comprehensible. At the same time, the book will enrich the subject for physicists who'd like to apply their skills in other disciplines. [...] The author's style, although quite concentrated, is simple to understand, and has many lovely visual examples to accompany formal ideas and concepts, which makes the exposition live and intuitvely appealing. * Olga K. Dudko, Journal of Statistical Physics, Vol 126 *Sethna's book provides an important service to students who want to learn modern statistical mechanics. The text teaches students how to work out problems by guiding them through the exercises rather than by presenting them with worked-out examples. * Susan Coppersmith, Physics Today, May 2007 *Table of ContentsPreface Contents List of figures What is statistical mechanics? 1.1: Quantum dice and coins 1.2: Probability distributions 1.3: Waiting time paradox 1.4: Stirling>'s formula 1.5: Stirling and asymptotic series 1.6: Random matrix theory 1.7: Six degrees of separation 1.8: Satisfactory map colorings 1.9: First to fail: Weibull 1.10: Emergence 1.11: Emergent vs. fundamental 1.12: Self-propelled particles 1.13: The birthday problem 1.14: Width of the height distribution 1.15: Fisher information and Cram´erDSRao 1.16: Distances in probability space Random walks and emergent properties 2.1: Random walk examples: universality and scale invariance 2.2: The diffusion equation 2.3: Currents and external forces 2.4: Solving the diffusion equation Temperature and equilibrium 3.1: The microcanonical ensemble 3.2: The microcanonical ideal gas 3.3: What is temperature? 3.4: Pressure and chemical potential 3.5: Entropy, the ideal gas, and phase-space refinements Phase-space dynamics and ergodicity 4.1: Liouville>'s theorem 4.2: Ergodicity Entropy 5.1: Entropy as irreversibility: engines and the heat death of the Universe 5.2: Entropy as disorder 5.3: Entropy as ignorance: information and memory Free energies 6.1: The canonical ensemble 6.2: Uncoupled systems and canonical ensembles 6.3: Grand canonical ensemble 6.4: What is thermodynamics? 6.5: Mechanics: friction and fluctuations 6.6: Chemical equilibrium and reaction rates 6.7: Free energy density for the ideal gas Quantum statistical mechanics 7.1: Mixed states and density matrices 7.2: Quantum harmonic oscillator 7.3: Bose and Fermi statistics 7.4: Non-interacting bosons and fermions 7.5: MaxwellDSBoltzmann 's regression hypothesis and time correlations 10.5: Susceptibility and linear response 10.6: Dissipation and the imaginary part 10.7: Static susceptibility 10.8: The fluctuation-dissipation theorem 10.9: Causality and KramersDSKr¨onig Abrupt phase transitions 11.1: Stable and metastable phases 11.2: Maxwell construction 11.3: Nucleation: critical droplet theory 11.4: Morphology of abrupt transitions Continuous phase transitions 12.1: Universality 12.2: Scale invariance 12.3: Examples of critical points A Appendix: Fourier methods A.1: Fourier conventions A.2: Derivatives, convolutions, and correlations A.3: Fourier methods and function space A.4: Fourier and translational symmetry References Index

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