Applied mathematics Books

Book SynopsisCRC Handbook of Percentiles of Non-Central t-Distributions is the first book to provide critical values of non-central t-distributions in an easy-to-use format. The book presents a brief introductory section that outlines properties and applications of non-central t-distributions and then explains the tables. The rest of the book consists of tables. The values listed were produced using cumulative probabilities. CRC Handbook of Percentiles of Non-Central t-Distributions is an essential reference of numerical tables of statistical functions for researchers, practitioners, scientists, and students involved with statistics in the areas of tolerance limits, variable sampling plans, confidence limits on quantiles, confidence limits on proportions, sample coefficient of variation and in computing the power of t-test.Table of ContentsIntroduction: The Critical Values of Non-Central t Distributions. a=0.01, a=0.025, a=0.05, a=0.10, a=0.20, a=0.30, a=0.70, a=0.80, a=0.90, a=0.95, a=0.975, a=0.99. References.

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Book SynopsisStochastic Communities presents a theory of biodiversity by analyzing the distribution of abundances among species in the context of a community. The basis of this theory is a distribution called the J distribution. This distribution is a pure hyperbola and mathematically implied by the stochastic species hypothesis assigning equal probabilities of birth and death within the population of each species over varying periods of time. The J distribution in natural communities has strong empirical support resulting from a meta-study and strong theoretical support from a theorem that is mathematically implied by the stochastic species hypothesis.Trade Review"The science of ecology suffers from a disconnect between theory and direct observation. Mathematicians have thought that simple equations could explain ecology. Field ecologists have assumed the mathematicians are right. Thus, empirical ecological understanding and prediction have suffered. Dewdney is an exceptions; he does field work and he is a mathematician. In his wonderful book, he takes advantage of both parts of ecology. And if Dewdney has done his math right, this book opens a whole new door to understanding biodiversity and its myriad causes."- Daniel Botkin, Professor Emeritus in the Department of Ecology, Evolution, and Marine Biology at the University of California, Santa Barbara, and President of the Center for the Study of the Environment"… development of a theory and guide to sampling, … it will be of great interest to both empirical and theoretical ecologists." - Trends in Ecology and EvolutionTable of ContentsThe J-curve and the J distribution. The J-distribution and its variations. Sampling in practice and in theory. Compiling and analysing field data. Predictions from data. Extending the sample. Stochastic systems and the stochastic community. The metastudy: A review. Fossil J-curves. Summary of theory and open problems. Appendix A: Mathematical Notes and Computer Tools. Appendix B: Results of the metastudy for the J distribution. Appendix C: Results of the test for the J distribution in taxonomic data.

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Book SynopsisIntended for researchers, numerical analysts, and graduate students in various fields of applied mathematics, physics, mechanics, and engineering sciences, Applications of Lie Groups to Difference Equations is the first book to provide a systematic construction of invariant difference schemes for nonlinear differential equations. A guide to methods and results in a new area of application of Lie groups to difference equations, difference meshes (lattices), and difference functionals, this book focuses on the preservation of complete symmetry of original differential equations in numerical schemes. This symmetry preservation results in symmetry reduction of the difference model along with that of the original partial differential equations and in order reduction for ordinary difference equations.A substantial part of the book is concerned with conservation laws and first integrals for difference models. The variational approach and Noether type theorems for diTrade ReviewThe book provides a systematic application of Lie groups to difference equations, difference meshes, and difference functionals. Besides the well-explained theoretical background and motivations, there is also a large number of concrete examples discussed in reasonable details. Due to the fairly broad introductory part, the book is indeed self-contained. The main ideas and concepts appear understandable not only to experts.—Vojtech Zadnik, Zentralblatt MATH 1236In recent years "difference geometry" and its applications to integrable systems and mathematical physics have attracted significant attention and this monograph will contribute to the ongoing developments in this general area. It is clearly written and largely self-contained … —Peter J. Vassiliou, Mathematical Reviews, 2012eTable of ContentsIntroduction. Finite differences and transformation groups in space of discrete variables. Invariance of finite difference equations and meshes. Invariant difference models of ordinary differential equations. Invariant difference models of partial differential equations. Combined models, admitting a transformation group. The discrete representation of a differential equation. Invariant variational problem and conservation laws for difference equations.

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Book SynopsisThe rigorous treatment of combustion can be so complex that the kinetic variables, fluid turbulence factors, luminosity, and other factors cannot be defined well enough to find realistic solutions. Simplifying the processes, The Coen & Hamworthy Combustion Handbook provides practical guidance to help you make informed choices about fuels, burners, and associated combustion equipmentand to clearly understand the impacts of the many variables. Editors Stephen B. Londerville and Charles E. Baukal, Jr, top combustion experts from John Zink Hamworthy Combustion and the Coen Company, supply a thorough, state-of-the-art overview of boiler burners that covers Coen, Hamworthy, and Todd brand boiler burners.A Refresher in Fundamentals and State-of-the-Art Solutions for Combustion System ProblemsRoughly divided into two parts, the book first reviews combustion engineering fundamentals. It then uses a building-block approach to present spTrade Review"I consider that the main strength of this book is the elaboration of both ... the theoretical and practical, to make it of great interest and relevance to practicing engineers. The language is simple and the arrangement of chapters is good, moving from theory to practice progressively. Besides various types of burners, all the associated equipment like fans, furnaces, controls, and safeties are all covered, making the topic complete. ... Designers, operators, consulting engineers and also students of heat power should find this book extremely useful."—Kumar Rayaprolu, author of Boilers: A Practical Reference and Boilers for Power and Process"I consider that the main strength of this book is the elaboration of both ... the theoretical and practical, to make it of great interest and relevance to practicing engineers. The language is simple and the arrangement of chapters is good, moving from theory to practice progressively. Besides various types of burners, all the associated equipment like fans, furnaces, controls, and safeties are all covered, making the topic complete. ... Designers, operators, consulting engineers and also students of heat power should find this book extremely useful."—Kumar Rayaprolu, author of Boilers: A Practical Reference and Boilers for Power and ProcessTable of ContentsIntroduction. Engineering Fundamentals. Combustion Fundamentals. Fuels. Oil Atomization. Solid Fuel Combustion in Suspension. Heat Transfer. Fundamentals of Fluid Dynamics. CFD-Based Combustion Modeling. Pollutant Emissions. Noise. Combustion Controls, Burner Management, and Safety Systems. Blowers for Combustion Systems. Burners and Combustion for Industrial and Utility Boilers. Duct Burners. Air Heaters. Marine and Offshore Applications. Appendices. Index.

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Book SynopsisFluid Dynamics via Examples and Solutions provides a substantial set of example problems and detailed model solutions covering various phenomena and effects in fluids. The book is ideal as a supplement or exam review for undergraduate and graduate courses in fluid dynamics, continuum mechanics, turbulence, ocean and atmospheric sciences, and related areas. It is also suitable as a main text for fluid dynamics courses with an emphasis on learning by example and as a self-study resource for practicing scientists who need to learn the basics of fluid dynamics.The author covers several sub-areas of fluid dynamics, types of flows, and applications. He also includes supplementary theoretical material when necessary. Each chapter presents the background, an extended list of references for further reading, numerous problems, and a complete set of model solutions.Trade Review"There is no better way to fall in love with a particular subject then to learn it through problem solving. Sergey Nazarenko has created an important resource for mathematics and physics students and young researchers by introducing basics and techniques of fluid dynamics. Anyone involved in teaching fluid dynamics will treasure this book because it provides a clear path to help convey the beauty, elegance, and sophistication of this enticing area of science."—Professor Natalia Berloff, Department of Applied Mathematics and Theoretical Physics, University of Cambridge and Skolkovo Institute of Science and Technology"This is an excellent book for fluid dynamics students. It gives a good overview of the theory through a large set of worthy example problems. After many classical textbooks on the subject, there is finally one with solved exercises. I fully appreciate the selection of topics."—Professor Miguel Onorato, Physics Department, University of TorinoTable of ContentsFluid Equations and Different Regimes of Fluid Flows. Conservation Laws in Incompressible Fluid Flows. Fluid with Free Surface. Waves and Instabilities. Boundary Layers. Two-Dimensional Flows. Point Vortices and Point Sources. Turbulence. Compressible Flow. Bibliography. Index.

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Book SynopsisThis book explores both non parametric and general statistical ideas by developing non parametric procedures in simple situations.Table of Contents1 Concepts of Statistical Inference and the Binomial Distribution.- 1 Introduction.- 2 Probability Distributions.- 3 Estimators and their Properties.- 3.1 Unbiasedness and Variance.- 3.2 Consistency.- 3.3 Sufficiency.- 3.4 Minimum Variance.- 4 Hypothesis Testing.- 4.1 Tests and their Interpretation.- 4.2 Errors.- 4.3 One-Tailed Binomial Tests.- P-values.- 4.5 Two-Tailed Test Procedures and P-values.- 4.6 Other Conclusions in Two-Tailed Tests.- 5 Randomized Test Procedures.- 5.1 Introduction: Motivation and Examples.- 5.2 Randomized Tests: Definitions.- 5.3 Nonrandomized Tests Equivalent to Randomized Tests.- 5.4 Usefulness of Randomized Tests in Theory and Practice.- 5.5 ?Randomized P-values.- 6 Confidence Regions.- 6.1 Definition and Construction in the Binomial Case.- 6.2 Definition of Confidence Regions and Relationship to Tests in the General Case.- 6.3 Interpretation of Confidence Regions.- 6.4 True Confidence Level.- 6.5 Including False Values and the Size of Confidence Regions.- 6.6 ?Randomized Confidence Regions.- 7 Properties of One-Tailed Procedures.- 7.1 Uniformly Most Powerful One-Tailed Tests.- 7.2 ?Admissibility and Completeness of One-Tailed Tests.- 7.3 Confidence Procedures.- 7.4 ?Proofs.- 8 Choice of Two-Tailed Procedures and their Properties.- 8.1 Test Procedures.- 8.2 Confidence Procedures.- 8.3 ?Completeness and Admissibility of Two-Conclusion Two-Tailed Tests.- 8.4 ?Completeness and Admissibility of Three-Conclusion Two-Tailed Tests.- 9 Appendices to Chapter 1.- A Limits of the Binomial Distribution.- A.1 Ordinary Poisson Approximation and Limit.- A.2 Ordinary Normal Approximation and Limit.- ? Convergence in Distribution and Asymptotic Distributions.- B.1 Convergence of Frequency Functions and Densities.- B.2 Convergence in Distribution.- B.3 Two Central Limit Theorems.- Problems.- 2 One-Sample and Paired-Sample Inferences Based on the Binomial Distribution.- 1 Introduction.- 2 Quantile Values.- 3 The One-Sample Sign Test for Quantile Values.- 3.1 Test Procedures.- 3.2 “Optimum” Properties.- 3.3 ?Proofs.- 4 Confidence Procedures Based on the Sign Test.- 5 Interpolation between Attainable Levels.- 6 The Sign Test with Zero Differences.- 6.1 Discussion of Procedures.- 6.2 Conditional Properties of Conditional Sign Tests.- 6.3 Unconditional Properties of Conditional Sign Tests.- 6.4 ?Proof for One-Sided Alternatives.- 6.5 ?Prooffor Two-Sided Alternatives.- 7 Paired Observations.- 8 Comparing Proportions using Paired Observations.- 8.1 Test Procedure.- 8.2 Alternative Presentations.- 8.3 Example.- 8.4 Interpretation of the Test Results.- 8.5 Properties of the Test.- 8.6 Other Inferences.- 8.7 Cox Model.- 9 Tolerance Regions.- 9.1 Definition.- 9.2 Practical Uses.- 9.3 Construction of Tolerance Regions: Wilks’ Method.- 9.4 Tolerance Regions for Description.- 9.5 Tolerance Regions for Prediction.- 9.6 More General Construction Procedures.- Problems.- 3 One-Sample and Paired-Sample Inferences Based on Signed Ranks.- 1 Introduction.- 2 The Symmetry Assumption or Hypothesis.- 3 The Wilcoxon Signed-Rank Test.- 3.1 Test Procedure and Exact Null Distribution Theory.- 3.2 Asymptotic Null Distribution Theory.- 3.3 Large Sample Power.- 3.4 Consistency.- 3.5 Weakening the Assumptions.- 4 Confidence Procedures Based on the Wilcoxon Signed-Rank Test.- 5 A Modified Wilcoxon Procedure.- 6 Zeros and Ties.- 6.1 Introduction.- 6.2 Obtaining the Signed Ranks.- 6.3 Test Procedures.- 6.4 Warnings and Anomalies: Examples.- 6.5 Comparison of Procedures.- 7 Other Signed-Rank Procedures.- 7.1 Sums of Signed Constants.- 7.2 Signed Ranks and Walsh Averages.- 7.3 Confidence Bounds Corresponding to Signed-Rank Tests.- 7.4 Procedures Involving a Small Number of Walsh Averages.- 8 Invariance and Signed-Rank Procedures.- 8.1 Permutation Invariance.- 8.2 Invariance under Increasing, Odd Transformations.- 9 Locally Most Powerful Signed-Rank Tests 181 Problems.- 4 One-Sample and Paired-Sample Inferences Based on the Method of Randomization.- 1 Introduction.- 2 Randomization Procedures Based on the Sample Mean and Equivalent Criteria.- 2.1 Tests.- 2.2 Weakening the Assumptions.- 2.3 Related Confidence Procedures.- 2.4 Properties of the Exact Randomization Distribution.- 2.5 Modifications and Approximations to the Exact Randomization Procedure.- 3 The General Class of One-Sample Randomization Tests.- 3.1 Definition.- 3.2 Properties.- 4 Most Powerful Randomization Tests.- 4.1 General Case.- 4.2 One-Sided Normal Alternatives.- 4.3 Two-Sided Normal Alternatives.- 5 Obervation-Randomization versus Rank-Randomization Tests.- Problems.- 5 Two-Sample Rank Procedures for Location.- 1 Introduction.- 2 The Shift Assumption.- 3 The Median Test, Other Two-Sample Sign Tests, and Related Confidence Procedures.- 3.1 Reduction of Data to a 2 × 2 Table.- 3.2 Fisher’s Exact Test for 2 × 2 Tables.- 3.3 Ties.- 3.4 Corresponding Confidence Procedures.- 3.5 Power.- 3.6 Consistency.- 3.7 “Optimum” Properties.- 3.8 Weakening the Assumptions.- 4 Procedures Based on Sums of Ranks.- 4.1 The Rank Sum Test Procedure.- 4.2 Null Distribution of the Rank Sum Statistics.- 4.3 Corresponding Confidence Procedures.- 4.4 Approximate Power.- 4.5 Consistency.- 4.6 Weakening the Assumptions.- 4.7 Ties.- 4.8 Point and Confidence Interval Estimation of P(X > Y).- 5 Procedures Based on Sums of Scores.- 6 Two-Sample Rank Tests and the Y — X Differences.- 7 Invariance and Two-Sample Rank Procedures.- 8 Locally Most Powerful Rank Tests.- 8.1 Most Powerful and Locally Most Powerful Rank Tests Against Given Alternatives.- 8.2 The Class of Locally Most Powerful Rank Tests.- Problems.- 6 Two-Sample Inferences Based on the Method of Randomization.- 1 Introduction.- 2 Randomization Procedures Based on the Difference Between Sample Means and Equivalent Criteria.- 2.1 Tests.- 2.2 Weakening the Assumptions.- 2.3 Related Confidence Procedures.- 2.4 Properties of the Exact Randomization Distribution.- 2.5 Approximations to the Exact Randomization Distribution.- 3 The Class of Two-Sample Randomization Tests.- 3.1 Definition.- 3.2 Properties.- 4 Most Powerful Randomization Tests.- 4.1 General Case.- 4.2 One-Sided Normal Alternatives.- 4.3 Two-Sided Normal Alternatives.- Problems.- 7 Kolmogorov-Smirnov Two-Sample Tests.- 1 Introduction.- 2 Empirical Distribution Function.- 3 Two-Sample Kolmogorov-Smirnov Statistics.- 4 Null Distribution Theory.- 4.1 An Algorithm for the Exact Null Distribution.- 4.2 Relation Between One-Tailed and Two-Tailed Procedures.- 4.3 Exact Formulas for Equal Sample Sizes.- 4.4 Asymptotic Null Distributions.- 5 Ties.- 6 Performance.- 7 One-Sample Kolmogorov-Smirnov Statistics.- Problems.- 8 Asymptotic Relative Efficiency.- 1 Introduction.- 2 Asymptotic Behavior of Tests: Heuristic Discussion.- 2.1 Asymptotic Power of a Test.- 2.2 Nuisance Parameters.- 2.3 Asymptotic Relative Efficiency of Two Tests.- 3 Asymptotic Behavior of Point Estimators: Heuristic Discussion.- 3.1 Estimators of the Same Quantity.- 3.2 Relation of Estimators and Tests.- 3.3 Estimators of Different Quantities.- 4 Asymptotic Behavior of Confidence Bounds.- 5 Example.- 6 Definitions of Asymptotic Relative Efficiency.- 6.1 Introduction.- 6.2 Tests.- 6.3 Estimators.- 6.4 Confidence Bounds.- 6.5 Confidence Intervals.- 6.6 Summary.- 7 Pitman’s Formula.- 8 Asymptotic Relative Efficiencies of One-Sample Procedures for Shift Families.- 8.1 The Shift Model.- 8.2 Asymptotic Relative Efficiencies for Specific Shift Families.- 8.3 Bounds on Asymptotic Relative Efficiencies for Shift Families.- 8.4 ?Asymptotically Efficient Signed-Rank Procedures.- 9 Asymptotic Relative Efficiency of Procedures for Matched Pairs.- 9.1 Assumptions.- 9.2 Bounds for Asymptotic Efficiencies for Matched Pairs.- 10 Asymptotic Relative Efficiency of Two-Sample Procedures for Shift Families.- 11 Asymptotic Efficiency of Kolmogorov-Smirnov Procedures.- 11.1 One-Sided Tests.- 11.2 Two-Sided Tests.- Problems.- Tables.- Table A Cumulative Standard Normal Distribution.- Table B Cumulative Binomial Distribution.- Table C Binomial Confidence Limits.- Table D Cumulative Probabilities for Wilcoxon Signed-Rank Statistic.- Table E Cumulative Probabilities for Hypergeometric Distribution.- Table F Cumulative Probabilities for Wilcoxon Rank Sum Statistic.- Table G Kolmogorov-Smirnov Two-Sample Statistic.

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Book Synopsis1 Introduction.- 1.1 The Classical Sampling Theorem.- 1.2 Non-Uniform Sampling and Frames.- 1.3 Outline of the Book.- 2 On the Transmission Capacity of the Ether and Wire in Electrocommunications.- I Sampling, Wavelets, and the Uncertainty Principle.- 3 Wavelets and Sampling.- 4 Embeddings and Uncertainty Principles for Generalized Modulation Spaces.- 5 Sampling Theory for Certain Hilbert Spaces of Bandlimited Functions.- 6 Shannon-Type Wavelets and the Convergence of Their Associated Wavelet Series.- II Sampling Topics from Mathematical Analysis.- 7 Non-Uniform Sampling in Higher Dimensions: From Trigonometric Polynomials to Bandlimited Functions.- 8 The Analysis of Oscillatory Behavior in Signals Through Their Samples.- 9 Residue and Sampling Techniques in Deconvolution.- 10 Sampling Theorems from the Iteration of Low Order Differential Operators.- 11 Approximation of Continuous Functions by RogosinskiType Sampling Series.- III Sampling Tools and Applications.- 12 Fast Fourier Transforms for Nonequispaced Data: A Tutorial.- 13 Efficient Minimum Rate Sampling of Signals with Frequency Support over Non-Commensurable Sets.- 14 Finite-and Infinite-Dimensional Models for Oversampled Filter Banks.- 15 Statistical Aspects of Sampling for Noisy and Grouped Data.- 16 Reconstruction of MRI Images from Non-Uniform Sampling and Its Application to Intrascan Motion Correction in Functional MRI.- 17 Efficient Sampling of the Rotation Invariant Radon Transform.- References.Trade Review"The introduction (Chapter 1) gives an excellent overview of the history and development of sampling theory. It shows that the WSK sampling theory has roots in many classical areas of mathematics, such as harmonic analysis, number theory, and interpolation theory. Many famous mathematicians, such as Cauchy, Borel, Hadamard, and de la Vallee-Poussin contributed directly or indirectly to its development. The introduction then proceeds to show how sampling theory is connected to more recent topics in mathematical analysis, such as wavelets, Gabor systems, density theorems, frames, and sampling in locally compact abelian groups." —Mathematical Reviews "Engineers and mathematicians working in wavelets, signal processing, and harmonic analysis, as well as scientists and engineers working on applications as varied as medical imaging and synthetic aperture radar, will find the book to be a modern and authoritative guide to sampling theory." —Publicationes MathematicaeTable of ContentsIntroduction, On the transmission capacity of the 'ether' and wire in electrocommunications, Part I: Sampling, wavelets, and the uncertainty principle, Wavelets and sampling, Embeddings and uncertainty principles for generalized modulation spaces, Sampling theory for certain hilbert spaces of bandlimited functions, Shannon-type wavelets and the convergence of their associated wavelet series, Part II: Sampling topics from mathematical analysis, Non-uniform sampling in higher dimensions: From trigonometric polynomials to bandlimited functions, The analysis of oscillatory behavior in signals through their samples, Residue and sampling techniques in deconvolution, Sampling theorems from the iteration of low order differential operators, Approximation of continuous functions by Rogosinski-Type sampling series, Part III: Sampling tools and applications, Fast fourier transforms for nonequispaced data: A tutorial, Efficient minimum rate sampling of signals with frequency support over non-commensurable sets, Finite and infinite-dimensional models for oversampled filter banks, Statistical aspects of sampling for noisy and grouped data, Reconstruction of MRI images from non-uniform sampling, application to Intrascan motion correction in functional MRI, Efficient sampling of the rotation invariant radon transform

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Book SynopsisSolve the DVA/FVA Overlap Issue and Effectively Manage Portfolio Credit RiskCounterparty Risk and Funding: A Tale of Two Puzzles explains how to study risk embedded in financial transactions between the bank and its counterparty. The authors provide an analytical basis for the quantitative methodology of dynamic valuation, mitigation, and hedging of bilateral counterparty risk on over-the-counter (OTC) derivative contracts under funding constraints. They explore credit, debt, funding, liquidity, and rating valuation adjustment (CVA, DVA, FVA, LVA, and RVA) as well as replacement cost (RC), wrong-way risk, multiple funding curves, and collateral. The first part of the book assesses today's financial landscape, including the current multi-curve reality of financial markets. In mathematical but model-free terms, the second part describes all the basic elements of the pricing and hedging framework. Taking a more practical slant, the third pTrade Review"… a fresh take on mitigation of counterparty risk … [the book] gives a ground-up approach for analysis and managing of risks associated with non-payment of promised cash flows due to the default by a party in an over-the-counter derivative transaction. It should be of value to researchers, graduate students, financial quants, managers in banks, CVA desks, and members of supervisory bodies."—hedgeweek.com, July 2014"The landscape of the rates and credit markets has changed so drastically since the 2008 crisis that older textbooks are barely relevant and, from an analytic perspective, appropriate methods have to be rethought from scratch. The present volume is one of the best contributions in this direction, featuring a clear description of the various ‘value adjustments,’ new models for portfolio credit risk, a unified analytic framework based on BSDEs, and detailed treatment of numerical methods."—Mark Davis, Imperial College London"Understanding the subtle interconnections between credit and funding is key to a modern valuation of derivatives. This timely contribution, written by world-class academics who are also well-recognized experts in the field, offers a rigorous and comprehensive treatment of the main theories underpinning the new valuation principles. Numerical examples are also provided to help the reader grasp key concepts and ideas of the advanced models and techniques here presented. Overall, an excellent textbook. Brigo’s dialogue is the icing on the cake."—Fabio Mercurio, Head of Derivatives Research, Bloomberg LP"A big hooray for this book on CVA, DVA, FVA/LVA, RVA, TVA, and other three letter acronyms (TLA!)."—Peter Carr, PhD, Managing Director, Morgan Stanley, and Executive Director, NYU Courant Master of Science Program in Mathematics in FinanceTable of ContentsFinancial Landscape. Model-Free Developments. Reduced-Form BSDE Modeling. Dynamic Copula Models. Further Developments. Mathematical Appendix. Index.

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Book SynopsisActuarial Models: The Mathematics of Insurance, Second Edition thoroughly covers the basic models of insurance processes. It also presents the mathematical frameworks and methods used in actuarial modeling. This second edition provides an even smoother, more robust account of the main ideas and models, preparing students to take exams of the Society of Actuaries (SOA) and the Casualty Actuarial Society (CAS).New to the Second Edition Revises all chapters, especially material on the surplus process Takes into account new results and current trends in teaching actuarial modeling Presents a new chapter on pension models Includes new problems from the 2011-2013 CAS examinations Like its best-selling, widely adopted predecessor, this edition is designed for students, actuaries, mathematicians, and researchers interested in insurance processes and economic and social models. The authTable of ContentsPreliminary Facts from Probability and Interest. Comparison of Random Variables. Preferences of Individuals. An Individual Risk Model for a Short Period. A Collective Risk Model for a Short Period. Random Processes and Their Applications I. Random Processes and Their Applications II. Global Characteristics of the Surplus Process. Survival Distributions. Life Insurance Models. Annuity Models. Premiums and Reserves. Pensions Plans. Risk Exchange: Reinsurance and Coinsurance. Appendix. References. Answers to Exercises. Index.

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Book SynopsisSince the start of modern computing, the studies of living organisms have inspired the progress in developing computers and intelligent machines. In particular, the methods of search and foraging are the benchmark problems for robotics and multi-agent systems. The highly developed theory of search and screening involves optimal search plans that are obtained by standard optimization techniques while the foraging theory addresses search plans that mimic the behavior of living foragers.Search and Foraging: Individual Motion and Swarm Dynamics examines how to program artificial search agents so that they demonstrate the same behavior as predicted by the foraging theory for living organisms. For cybernetics, this approach yields techniques that enable the best online search planning in varying environments. For biology, it allows reasonable insights regarding the internal activity of living organisms performing foraging tasks.The book discusses foraTrade Review"The book is valuable reading both for teaching inspiration as well as for research insights into optimization, modeling, mathematical biology, and robot programming."—Zentralblatt MATH 1327Table of ContentsIntroduction. Methods of Optimal Search and Screening. Methods of Optimal Foraging. Models of Individual Search and Foraging. Coalitional Search and Swarm Dynamics. Remarks on Swarm Robotic Systems for Search and Foraging. Conclusion. Bibliography. Index.

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Book SynopsisThis book deals with certain aspects of material science, particularly with the release of thermal energy associated with bond breaking. It clearly establishes the connection between heat transfer rates and product quality. The editors then sharply draw the thermal distinctions between the various categories of welding processes, and demonstrate how these distinctions are translated into simulation model uniqueness. The book discusses the incorporation of radiative heat transfer processes into the simulation model.Table of ContentsPrefaceEditorsContributorsChapter 1 Heat Exchangers and Their Fan/Blower Partners Modeled as a Single Interacting System by Numerical SimulationE. M. Sparrow, J. M. Gorman, J. P. Abraham, and W. J. MinkowyczChapter 2 On Computational Heat Transfer Procedures for Heat Exchangers in Single-Phase Flow OperationBengt SundénChapter 3 Utilization of Numerical Methods and Experiments for the Design and Tests of Gasketed Plate Heat ExchangersSelin Aradag, Sadik Kakac, and Ece ÖzkayaChapter 4 Numerical Methods for Micro Heat ExchangersBengt Sundén, Zan Wu, and Mohammad FaghriChapter 5 Review of Advances in Heat Pipe Analysis and Numerical SimulationAmir Faghri and Theodore L. BergmanIndex

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Book SynopsisThe Multiphase Flow Handbook, Second Edition is a thoroughly updated and reorganized revision of the late Clayton Crowe's work, and provides a detailed look at the basic concepts and the wide range of applications in this important area of thermal/fluids engineering. Revised by the new editors, Efstathios E. (Stathis) Michaelides and John D. Schwarzkopf, the new Second Edition begins with two chapters covering fundamental concepts and methods that pertain to all the types and applications of multiphase flow. The remaining chapters cover the applications and engineering systems that are relevant to all the types of multiphase flow and heat transfer. The twenty-one chapters and several sections of the book include the basic science as well as the contemporary engineering and technological applications of multiphase flow in a comprehensive way that is easy to follow and be understood. The editors created a common set of nomenclature that is used throughout the book, allowing reaTrade Review"The second edition of the Multiphase Flow Handbook represents a comprehensive and thorough treatment of the field of multiphase fluid mechanics – from fundamentals to applications – written by top experts in the field. It is an indispensable resource for student and researcher alike."— Michael L. Calvisi, University of Colorado Colorado Springs, USATable of ContentsFundamentals of Multiphase Flow. Computational Methods. Gas-Liquid Flow in Ducts. Fluid-Solid Flow in Ducts. Compressible Multiphase Flow. Combustion with Particles and Drops. Microgravity Two-Phase Flow. Boiling. Condensation. Powder and Granular Flow. Multiphase Flow in Porous Media. Turbulence Interactions. Bubble Dynamics and Cavitation. Aggregation, Collisions and Break-up. Particle Separation Methods and Systems. Biological Systems and Bio-mimetics. Fluidized Bed Reactors. Nanofluids. Sprays. Aerosols. Dispersed Flow in Non-Newtonian Fluids.

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Book SynopsisDifferential Equations: Theory, Technique, and Practice with Boundary Value Problems presents classical ideas and cutting-edge techniques for a contemporary, undergraduate-level, one- or two-semester course on ordinary differential equations. Authored by a widely respected researcher and teacher, the text covers standard topics such as partial differential equations (PDEs), boundary value problems, numerical methods, and dynamical systems. Lively historical notes and mathematical nuggets of information enrich the reading experience by offering perspective on the lives of significant contributors to the discipline. Anatomy of an Application sections highlight applications from engineering, physics, and applied science. Problems for review and discovery provide students with open-ended material for further exploration and learning. Streamlined for the interests of engineers, this version:Includes new coverage of Sturm-Liouville theory and problemsTrade ReviewPraise for Differential Equations: Theory, Technique, and Practice, Second Edition "Krantz is a very prolific writer. He … creates excellent examples and problem sets."—Albert Boggess, Professor and Director of the School of Mathematics and Statistical Sciences, Arizona State University, Tempe, USA A first course in differential equations lends itself to the introduction of many interesting applications of mathematics. In this well-written text, Krantz (mathematics, Washington Univ. in St. Louis) emphasizes the differential equations needed to succeed as an engineer. This work is similar to Krantz and Simmons’s Differential Equations: Theory, Technique, and Practice (2007), yet the current work adds the necessary exposure to Sturm-Liouville problems and boundary value problems for the intended engineering audience. This enables the reader access to the all-important introduction to the partial differential equations; namely, the heat and wave equations, as well as the Dirichlet problem. This text has two features that differentiate it from all others on the market at this level: the sections entitled, “Anatomy of an Application” and “Problems for Review and Discovery.” The former analyzes a particular application, while the latter introduces open-ended material for further student exploration. These features will serve students well in their pursuit of garnishing the applied fruits of the subject. This text sets a new standard for the modern undergraduate course in differential equations.--J. T. Zerger, Catawba College Table of ContentsWhat Is a Differential Equation? Second-Order Linear Equations. Power Series Solutions and Special Functions. Numerical Methods. Fourier Series: Basic Concepts. Sturm–Liouville Problems and Boundary Value Problems. Partial Differential Equations and Boundary Value Problems. Laplace Transforms. Systems of First-Order Equations. The Nonlinear Theory. Appendix: Review of Linear Algebra.

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Book SynopsisThis book focuses on the role of modeling in the design of alloys and intermetallic compounds. It includes an introduction to the most important and most used modeling techniques, such as CALPHAD and ab-initio methods, as well as a section devoted to the latest developments in applications of alloys. The book emphasizes the correlation between modeling and technological developments while discussing topics such as wettability of Ultra High Temperature Ceramics by metals, active brazing of diamonds to metals in cutting tools, surface issues in medicine, novel Fe-based superconductors, metallic glasses, high entropy alloys, and thermoelectric materials.Table of ContentsModeling Techniques and Prediction of Properties. Computational Thermodynamics: From Experiments to Applications. Thermophysical Properties of Metallic Alloys from Ab Initio Methods and Applications to Thermodynamic Modeling. The Formation Volume in Rare Earth Intermetallic Systems: A Representation by Means of Atomic Physical Quantities. Role of Modeling on the Design of Alloys and Intermetallic Compounds. Metal-Ceramic Interactions in Brazing Ultra High Temperature Diboride Ceramics. Metal Surfaces in Medicine: Current Knowledge of Properties, Modeling and Biological Response. Fe-based Superconductors: Crystallochemistry, Band Structure and Phase Diagrams. Electronic and Magnetic Properties of Highly Disordered Fe-based Frank Kasper-Phases in View of First Principles Calculation and Experimental Study. Atomistic Modeling to Design Favored Compositions for the Metallic Glass Formation. Shape Memory Alloys: Constitutive Modeling and Engineering Simulations. Prediction of the Thermoelectric Properties of Half-Heusler Phases from the Density Functional Theory. Skutterudites for Thermoelectric Applications: Properties, Synthesis and Modeling.

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Book SynopsisFilling a gap in the literature, Delay Differential Evolutions Subjected to Nonlocal Initial Conditions reveals important results on ordinary differential equations (ODEs) and partial differential equations (PDEs). It presents very recent results relating to the existence, boundedness, regularity, and asymptotic behavior of global solutions for differential equations and inclusions, with or without delay, subjected to nonlocal implicit initial conditions.After preliminaries on nonlinear evolution equations governed by dissipative operators, the book gives a thorough study of the existence, uniqueness, and asymptotic behavior of global bounded solutions for differential equations with delay and local initial conditions. It then focuses on two important nonlocal cases: autonomous and quasi-autonomous. The authors next discuss sufficient conditions for the existence of almost periodic solutions, describe evolution systems with delay and nonlocal initial cTrade Review"This book will be useful to researchers and graduate students interested in delay evolution equations and inclusions subjected to nonlocal initial conditions." - Sotiris K. Ntouyas (Ioannina)Table of ContentsPreliminaries. Local Initial Conditions. Nonlocal Initial Conditions: The Autonomous Case. Nonlocal Initial Conditions: The Quasi-Autonomous Case. Almost Periodic Solutions. Evolution Systems with Nonlocal Initial Conditions. Delay Evolution Inclusions. Multivalued Reaction-Diffusion Systems. Viability for Nonlocal Evolution Inclusions. Bibliography. Index.

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Book SynopsisHeat transfer enhancement has seen rapid development and widespread use in both conventional and emerging technologies.  Improvement of heat transfer fluids requires a balance between experimental and numerical work in nanofluids and new refrigerants. Recognizing the uncertainties in development of new heat transfer fluids, Advances in New Heat Transfer Fluids:  From Numerical to Experimental Techniques contains both theoretical and practical coverage. Table of ContentsList of Contributors Preface 1. Experimental studies on the influence of metal and metal oxide nanofluid properties on forced convection heat transfer and fluid flow Viswanatha Sharma Korada, Seshu Kumar Vandrangi, Subhash Kamal, and Alina Adriana Minea 2. Comparative methods in convective heat transfer enhancement by nanofluids: entropy generation Vincenzo BIANCO, Oronzio MANCA, Alina Adriana MINEA, and Sergio NARDINI 3. Static and flow heat transfer status of ethylene glycol-based nanofluids S M Sohel MURSHED and Carlos A. NIETO DE CASTRO 4. Carbon based nanofluids characteristics: basics and applications on heat pipes Gabriela HUMINIC, Angel HUMINIC, Florian DUMITRACHE, and Claudiu FLEACĂ 5. Numerical studies on metallic nanofluids flow and heat transfer in tangential microtube heat sink with multiple inlets Dorin LELEA 6. Heat transfer augmentation with nanocomposite based hybrid nanofluids flowing in a tube with inserts L. Syam SUNDAR, Manoj K. SINGH, and Antonio C.M. SOUSA 7. Magnetohydrodynamic with nanofluids for heat transfer applications Fatih SELIMEFENDIGIL and Hakan F. OZTOP 8. Enhancing the Thermal Properties of Water and Ethylene Glycol with Nanoadditives and Surface Functionalization Ronald J. WARZOHA 9. Rheological characteristics of nanofluids for advance heat transfer S M Sohel MURSHED and Patrice ESTELLÉ 10. Heat transfer enhancement in cavities filled with nanofluids Teodor GROSAN, Mikhail A. SHEREMET, and Ioan POP 11. New high temperature heat transfer and thermal storage molten salt-based nanofluids: preparation, stabilization and characterization Rosa MONDRAGON, Nuria NAVARRETE, Alexandra GIMENO-FURIO, Leonor HERNANDEZ, Luis CABEDO, and J. Enrique JULIA 12. Liquid metals as heat transfer fluids for science and technology Alexandru ONEA, Sara PEREZ-MARTIN, Wadim JÄGER, Wolfgang HERING, and Robert STIEGLITZ 13. Comparison of environmentally friendly working fluids for Organic Rankine cycles Kostantinos BRAIMAKIS, Tryfonas ROUMPEDAKIS, Aris-Dimitrios LEONTARITIS, and Sotirios KARELLAS 14. Thermodynamic properties of refrigerants with low GWP Sergio BOBBO and Laura FEDELE 15. Refrigerants for vapour compression refrigeration systems: a review on natural and artificial heat transfer fluids Rodrigo LLOPIS, Daniel SÁNCHEZ, and Ramón CABELLO

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Book SynopsisThis book covers both theoretical and practical results for graph polynomials. Graph polynomials have been developed for measuring combinatorial graph invariants and for characterizing graphs. Various problems in pure and applied graph theory or discrete mathematics can be treated and solved efficiently by using graph polynomials. Graph polynomials have been proven useful areas such as discrete mathematics, engineering, information sciences, mathematical chemistry and related disciplines.Table of ContentsThe Alliance Polynomial of a Graph. Aspects of the Interlace Polynomial of a Graph. The clique-transversal set problem in clawfree graphs with degree at most 4. Permanental Polynomials of Graphs. Tutte polynomial and its generalizations. Graphs characterized by various polynomials. Recurrence relations of graph polynomials. Independence polynomials of k-tree related graphs. Generatingfunctionology for Graph Polynomials. Symmetric representations and the connection with linear recurrences. From the Ising and Potts model to the general graph homomorphism polynomial.

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Book SynopsisThis book presents a unified algebraic approach to stabilization problems of linear boundary control systems with no assumption on finite-dimensional approximations to the original systems, such as the existence of the associated Riesz basis. A new proof of the stabilization result for linear systems of finite dimension is also presented, leading to an explicit design of the feedback scheme. The problem of output stabilization is discussed, and some interesting results are developed when the observability or the controllability conditions are not satisfied.Table of ContentsPreliminary results - Stabilization of linear systems of finite dimension. Preliminary results: Basic theory of elliptic operators. Stabilization of linear systems of infinite dimension: Static feedback. Stabilization of linear systems of infinite dimension: Dynamic feedback. Stabilization of linear systems with Riesz Bases: Dynamic feedback. Output stabilization: lack of the observability and/or the controllability conditions. Stabilization of a class of linear control systems generating C0- semigroups. A Computational Algorhism for an Infinite-Dimensional Sylvester’s Equation.

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Book SynopsisConvective Flow and Heat Transfer from Wavy Surfaces: Viscous Fluids, Porous Media, and Nanofluids addresses the wavy irregular surfaces in heat transfer devices. Fluid flow and heat transfer studies from wavy surfaces have received attention, since they add complexity and require special mathematical techniques. This book considers the flow and heat transfer characteristics from wavy surfaces, providing an understanding of convective behavioral changes.Table of ContentsIntroduction. Governing Equations. Natural and Mixed Convection Flow in Viscous Fluids. Natural and Mixed Convection Flow in Fluid-Saturated Porous Media. Natural and Mixed Convection Flow in Nanofluids. Wavy Vertical Channels. Natural and Mixed Convection Flow in Viscous Fluids. Natural and Mixed Convection Flow in Fluid-Saturated Porous Media. Natural and Mixed Convection Flow in Nanofluids. Wavy Cavities. Natural and Mixed Convection Flow in Viscous Fluids. Natural and Mixed Convection.. Natural and Mixed Convection Flow in Fluid-Saturated Porous Media. Natural and Mixed Convection Flow in Nanofluids. Concluding Remarks. Nomenclature. References. Index.

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Book SynopsisQuantum Effects in Tribology is devoted to the study of quantum foundations of materials friction interaction and evolutionary formation of tribosystem's operating parameters. At the start of the book, large consideration is given to the analysis of the existing diversity of friction, wear, and lubrication models and their relationship with each other, as well as to the quantum nature of the measurement process and the wave function reduction caused by the act of measurement. Consideration of measurement as a process of defining the output parameters of tribosystem is carried out with the apparatus of second quantization and conceptions associated with non-local quantum effects. Such an approach makes it possible not only to take another look to the evolution of tribosystems but discover previously unknown regularities of friction. The book is intended for professionals working in the field of tribology, but will be also useful for graduate students spTable of ContentsPreface. Problems of Creation of the Generalized Physical Model of Friction and Wear. Quantum Algorithm for Solving the "Fundamental Paradox of Tribology". Quantum Spaces of Tribosystems. Quantum Dynamics of Tribosystems. Quantum States of Manifested Tribosystem. Afterword. Bibliography.

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Book SynopsisInvitation to Linear Algebra is an informative, clearly written, flexible textbook for instructors and students. Based on over 30 years of experience as a mathematics professor, the author invites students to develop a more informed understanding of complex algebraic concepts using innovative, easy-to-follow methods. The book is organized into lessons rather than chapters. This limits the size of the mathematical morsels that students must digest, making it easier for instructors to budget class time. Each definition is carefully explained with detailed proofs of key theorems, including motivation for each step. This makes the book more flexible, allowing instructors to choose material that reflects their and their students' interests. A larger than normal amount of exercises illustrate how linear and nonlinear algebra apply in the students' areas of study. Features The book's unique lesson format enabTable of ContentsMatrices and Linear Systems. Introduction to Matrices. Matrix Multiplication. Additional Topics in Matrix Algebra. Introduction to Linear Systems. The Inverse of a Matrix. Determinants. Introduction to Determinants. Properties of Determinants. Applications of Determinants. A First Look at Vector Spaces. Introduction to Vector Spaces. Subspaces of Vector Spaces. Linear Dependence and Independence. Basis and Dimension. The Rank of a Matrix. Linear Systems Revisited. More About Vector Spaces. Sums and Direct Sums of Subspaces. Quotient Spaces. Change of Basis. Euclidean Spaces. Orthonormal Bases. Linear Transformations. Introduction to Linear Transformations. Isomorphisms of Vector Spaces. The Kernel and Range of a Linear Transformation. Matrices of Linear Transformations. Similar Matrices. Matrix Diagonalization. Eigenvalues and Eigenvectors. Diagonalization of Square Matrices. Diagonalization of Symmetric Matrices. Complex Vector Spaces. Complex Vector Spaces. Unitary and Hermitian Matrices. Advanced Topics. Powers of Matrices. Functions of a Square Matrix. Matrix Power Series. Minimal Polynomials. Direct Sum Decompositions. Jordan Canonical Form. Applications. Systems of First Order Differential Equations. Stability Analysis of First Order Systems. Coupled Oscillations. Appendix. Solutions and Hints to Selected Exercises.

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Book SynopsisThis volume records the proceedings of an international conference that explored recent developments and the interaction between mathematical theory and physical phenomena.Table of ContentsNON-COMMUTATIVE SPHERES and NUMERICAL QUANTUM MECHANICS; Matricial and Ultramatricial Topology; Remarks on the Three-Manifold Invariants ? p; The Crossed Product of the Irrational Rotation Algebra by the Flip; Quadratic and Exchange Algebras, and Modified Yang-Baxter Relations for the Selfdual Yang-Mills System and the WZNW Model; Regular Actions of Hopf Algebras on the C*-Algebra Generated by a Hilbert Space; Operator Algebras, Group Actions and Abstract Duals; A Classification of Certain Simple C*-Algebras; On Two Quantized Tensor Products 1; Geometry of Differential Equations and Projective Representations of the witt Algebra; Spin Model on Knot Projections; Towards Extracting Physical Predictions from Alain Connes' Version of the Standard Model (The New Grand Unification?); A Commutator Inequality; Duals of Compact Groups Realized by Semigroups of Non-Unital Endomorphisms of C *-Algebras; A New Index for Continuous Semigroups of *-Endomorphisms of B(H); Topological Orbit Equivalence; Toeplitz C *-Alegras on Pseudoconvex Domains with Transverse Symmetries; Normal Subgroups of the Automorphism Group of a Factor; Subfactors and Invariants of 3-Manifolds

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Book SynopsisThis volume comprises selected papers from the 21st Conference on System Modeling and Optimization in Sophia Antipolis, France. It covers over three decades of studies involving partial differential systems and equations. Topics include: the modeling of continuous mechanics involving fixed boundary, control theory, shape optimization and moving boundaries, and topological shape optimization. This edition discusses all developments that lead to current moving boundary analysis and the stochastic approach.Table of ContentsOperator-Splitting Methods and Application to the Direct Numerical Simulation of Particulate Flow and to the Solution of the Elliptic Monge-Ampère Equation. Dynamical Shape Sensitivity. Optimal Control of a Structural Acoustic Model with Flexible Curved Walls. Nonlinear Wave Equations with Degenerate Damping and Source Terms. Numerical Modeling of Phase Change Problems. Shape Optimization of Free Air-Porous Media Transmission Coefficient. The Uniform Fat Segment and Uniform Cusp Properties. Topology Optimization for Unilateral Problems. Second Order Lagrange Multiplier Approximation for Constrained Shape Optimization Problems. Mathematical Models of 'Active' Obstacles in Acoustic Scattering. Local Null controllability in a State Constrained Thermoelastic Contact Problem. On Sensitivity of Optimal Solutions to Control Problems for Hyperbolic Hemivariational Inequalities. Evolution Hemivariational Inequality with Hysteresis and Optimal Control Problem. On the Modeling and Control of Delamination Processes. On a Spectral Variational Problem Arising in the Study of Earthquakes. Nodal Control of Conservation Laws on Networks. Invariance of Clossed Sets under Stochastic Control Systems. Uniform Stabilization of an Anisotropic System of Thermoelasticity. Well-Posedness of Multilayer Mead-Markus Plate with Shear Damping. Solution of Algebraic Riccati Equations Arising in control of Partial Differential Equations. Stabilization in Computing Saddle Points. Second Order sufficient Conditions for Optimal Control Subject to First Order State Constraints.

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Book SynopsisBoundary element methods relate to a wide range of engineering applications, including fluid flow, fracture analysis, geomechanics, elasticity, and heat transfer. Thus, new results in the field hold great importance not only to researchers in mathematics, but to applied mathematicians, physicists, and engineers.A two-day minisymposium Mathematical Aspects of Boundary Element Methods at the IABEM conference in May 1998 brought together top rate researchers from around the world, including Vladimir Maz’ya, to whom the conference was dedicated. Focusing on the mathematical and numerical analysis of boundary integral operators, this volume presents 25 papers contributed to the symposium. Mathematical Aspects of Boundary Element Methods provides up-to-date research results from the point of view of both mathematics and engineering. The authors detail new results, such as on nonsmooth boundaries, and new methods, including domain decomposition and parallelization, preconditioned iterative techniques, multipole expansions, higher order boundary elements, and approximate approximations. Together they illustrate the connections between the modeling of applied problems, the derivation and analysis of corresponding boundary integral equations, and their efficient numerical solutions.Table of ContentsPreface Coupling Integral Equation Method and Finite Volume Elements for the Resolution of the Leontovich Boundary Value Problem for the Time-Harmonic Maxwell Equations in Three Dimensional Herterogeneous Media Smoothness Properties of Solutions to Variational Inequalities Describing Propagation of Mode-1 Cracks Edge Singularities and Kutta Condition for 3D Unsteady Flows in Aerodynamics Approximation Using Diagonal-Plus-Skeleton Matrices Variational Integral Formulation in the Problem of Elastic Scattering by a Buried Obstacle Sensitivity Analysis for Elastic Fields in Non Smooth Domains A Formulation for Crack Shape Sensitivity Analysis Based on Galeerking BIE, Domain Differentiation, and Adjoint Variable Periodic and Stochastic BEM for Large Structures Embedded in an Elastic Half-Space Self-Regularized Hypersingular BEM for Laplace’s Equation An Adaptive Boundary Element Method for Contact Problems Fast Summation Methods and Integral Equations Hybrid Galerkin Boundary Elements on Degenerate Meshes The Poincaré-Steklov Operator within Countably Normed Spaces Boundary Layer Approximate Approximations for the Cubature of Potentials A Simplified Approach to the Semi-Discrete Galerking Method for the Single-Layer Equation for a Plate Construction of Basis Functions for High Order Approximate Approximations Lp-Theory of Direct Boundary Integral Equations on a Contour with Peak Essential Norms of the Integral Operator Correspondng to the Neumann Problem for the Laplace Equations Polynomial Collocation Methods for 1D Intergral Equations with Nonsmooth Solutions Singularities in Discretized BIE’s for Laplace’s Equation; Trailin-Edge Conditions in Aerodynamics Fluid-Structure Interaction Problems Extraction, Higher Order Boundary Element Methods, and Adaptivity Asymptotic Solution of Boundary Integral Equations Sobolev Multipliers in the Theory of Integral Convolution Operators Stable Boundary Element Approximations of Steklov-Poincaré Operators NTI/Sales Copy

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Book SynopsisAlthough the analysis of scattering for closed bodies of simple geometric shape is well developed, structures with edges, cavities, or inclusions have seemed, until now, intractable to analytical methods. This two-volume set describes a breakthrough in analytical techniques for accurately determining diffraction from classes of canonical scatterers with comprising edges and other complex cavity features. It is an authoritative account of mathematical developments over the last two decades that provides benchmarks against which solutions obtained by numerical methods can be verified.The first volume, Canonical Structures in Potential Theory, develops the mathematics, solving mixed boundary potential problems for structures with cavities and edges. The second volume, Acoustic and Electromagnetic Diffraction by Canonical Structures, examines the diffraction of acoustic and electromagnetic waves from several classes of open structures with edges or cavities. Together these volumes present an authoritative and unified treatment of potential theory and diffraction-the first complete description quantifying the scattering mechanisms in complex structures.Table of ContentsMathematical Aspects of Potential Theory. Dual or Triple Series and Integral Equations. Electrostatic Potential Theory for Open Spherical Shells and Cavities. Open Spheroidal Conducting Shells and Cavities. Charged Toroidal Shells and Cavities. Potential Theory for Conical Structures with Edges. Two-Dimensional Potential Theory. Rigorous Solution Methods for more Complicated Structures.

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Book SynopsisIn the view of many probabilists, author Anatolii Puhalskii's research results stand among the most significant achievements in the modern theory of large deviations. In fact, his work marked a turning point in the depth of our understanding of the connections between the large deviation principle (LDP) and well-known methods for establishing weak convergence results.Large Deviations and Idempotent Probability expounds upon the recent methodology of building large deviation theory along the lines of weak convergence theory. The author develops an idempotent (or maxitive) probability theory, introduces idempotent analogues of martingales (maxingales), Wiener and Poisson processes, and Ito differential equations, and studies their properties. The large deviation principle for stochastic processes is formulated as a certain type of convergence of stochastic processes to idempotent processes. The author calls this large deviation convergence.The approach to establishing large deviation convergence uses novel compactness arguments. Coupled with the power of stochastic calculus, this leads to very general results on large deviation asymptotics of semimartingales. Large and moderate deviation asymptotics are treated in a unified manner. Starting with the foundations of idempotent measure theory and culminating in applications to large deviation asymptotics of queueing systems, Large Deviations and Idempotent Probability offers an outstanding opportunity to examine both the development of a remarkable approach and recently discovered results as presented by one of the foremost leaders in the field.Table of ContentsIDEMPOTENT PROBABILITY THEORY: Idempotent Probability Measures. Maxingales. LARGE DEVIATION CONVERGENCE: Large Deviation Convergence in Tihonov Spaces. The Method of Finite-Dimensional Distributions. The Method of the Maxingale Problem. APPLICATIONS.

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Book SynopsisThe theory of holomorphic functions of several complex variables emerged from the attempt to generalize the theory in one variable to the multidimensional situation. Research in this area has led to the discovery of many sophisticated facts, structures, ideas, relations, and applications. This deepening of knowledge, however, has also revealed more and more paradoxical differences between the structures of the two theories. The authors of this Research Note were driven by the quest to construct a theory in several complex variables that has the same structure as the one-variable theory. That is, they sought a reproducing kernel for the whole class that is universal and from same class. Integral Theorems for Functions and Differential Forms in Cm documents their success. Their highly original approach allowed them to obtain new results and refine some well-known results from the classical theory of several complex variables. The 'hyperholomorphic" theory they developed proved to be a kind of direct sum of function theories for two Dirac-type operators of Clifford analysis considered in the same domain.In addition to new results and methods, this work presents a first-look at a brand new setting, based upon the natural language of differential forms, for complex analysis. Integral Theorems for Functions and Differential Forms in Cm reveals a deep link between the fields of several complex variables theory and Clifford analysis. It will have a strong influence on researchers in both areas, and undoubtedly will change the general viewpoint on the methods and ideas of several complex variables theory.Trade Review"…the book will be interesting to specialists in complex analysis and its applications".- Mathematical Reviews, 2003a"This well-written book is a valuable contribution to the broad field of interactions between complex analysis and partial differential equations...Moreover, the book can be used for individual studies, because fundamental concepts and important theorems are explained in detail."-Mathematical Reviews, Issue 94aTable of ContentsIntroduction. Differential Forms. Differential Forms with Co-Efficients in 2x2 Matrices. Hyperholomorphic Functions and Differential Forms in Cm. Cauchy's Theorem. Morera's Theorem. Cauchy's Integral Representation. Hyperholomorphic D-problem. Complex Hodge-Dolbeault System. Relations with Clifford Analysis.

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Book SynopsisThis book introduces the class of dynamical systems called semiflows, which includes systems defined or modeled by certain types of differential evolution equations (DEEs). It focuses on the basic results of the theory of dynamical systems that can be extended naturally and applied to study the asymptotic behavior of the solutions of DEEs. The authors concentrate on three types of absorbing sets: attractors, exponential attractors, and inertial manifolds. They present the fundamental properties of these sets, and then proceed to show the existence of some of these sets for a number of dynamical systems generated by well-known physical models. In particular, they consider in full detail two particular PDEEs: a semilinear version of the heat equation and a corresponding version of the dissipative wave equation. These examples illustrate the most important features of the theory of semiflows and provide a sort of template that can be applied to the analysis of other models.The material builds in a careful, gradual progression, developing the background needed by newcomers to the field, and culminating in a more detailed presentation of the main topics than found in most sources. The authors' approach to and treatment of the subject builds the foundation for more advanced references and research on global attractors, exponential attractors, and inertial manifolds.Table of ContentsDynamical Processes. Attractors of Semiflows. Attractors for Semilinear Evolution Equations. Exponential Attractors. Inertial Manifolds. Examples. A Non-Existence Result for Inertial Manifolds. Appendix: Selected Results from Analysis. Bibliography. Index. Nomenclature

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Book SynopsisThe Eighth International Conference on Difference Equations and Applications was held at Masaryk University in Brno, Czech Republic. This volume comprises refereed papers presented at this conference. These papers cover all important themes, conjectures, and open problems in the fields of discrete dynamical systems and ordinary and partial difference equations, classical and contemporary, theoretical and applied.Table of ContentsOn Some Simple Floquet Theory on Time Scales. On a Condition for Transitivity of Lorenz Maps. Iterated Multifunction Systems. Invariant Manifolds as Pullback Attractors of Nonautonomous Difference Equations. Determination of Initial Data Generating Solutions of Bernoulli's Type Difference Equations with Prescribed Asymptotic Behaviour. Solutions bounded on the Whole Line for Perturbed Difference Systems. On Rational Third Order Difference Equations. Decaying Solutions for Difference Equations with Deviating Argument. On a Differential and Difference Equation with a Constant Delay. Some Discrete Nonlinear Inequalities and Applications To Boundary Value Problems. The Asymptotic Stability of x(n + k) + ax(n) + bx(n _ l ) = 0. On Nonoscillatory Solutions of Third Order Difference Equations. Global Stability of Periodic Orbits of Nonautonomous Difference Equations in Population Biology and the Cushing-Henson Conjectures. Symplectic Factorizations and the Definition of a Focal Point. Second Smaller Zero of Kneading Determinant for Iterated Maps. Bifurcation of Almost Periodic Solutions in a Difference Equation. The Harmonic Oscillator { An Extension Via Measure Chains. Solution of Dirichlet Problems with Discrete Double-Layer Potentials. Moments of Solutions of Linear Difference Equations. Time Variant Consensus Formation in Higher Dimensions. On Asymptotic Properties of Solutions of the Difference Equation Dx(t) = -ax(t) + bx(g (t)). Oscillation Theorems for a Class of Fourth Order Nonlinear Difference Equations . 193. Iterates of the Tangent Map -- the Bifurcation Scheme. Difference Equations for Photon-Number Distribution in the Stationary Regime of a Random Laser. Delay Equations on Measure Chains: Basics and Linearized Stability. On the System of two Difference Equations xn+1 = p+yn-k / yn, yn+1 = q+xn-k / xn. Asymptotic Behavior of Solutions of Certain Second Order Nonlinear Difference Equations. Asymptotic Behavior of the Solutions of the Fuzzy Difference Equation

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Book SynopsisDue to the increase in computational power and new discoveries in propagation phenomena for linear and nonlinear waves, the area of computational wave propagation has become more significant in recent years. Exploring the latest developments in the field, Effective Computational Methods for Wave Propagation presents several modern, valuable computational methods used to describe wave propagation phenomena in selected areas of physics and technology.Featuring contributions from internationally known experts, the book is divided into four parts. It begins with the simulation of nonlinear dispersive waves from nonlinear optics and the theory and numerical analysis of Boussinesq systems. The next section focuses on computational approaches, including a finite element method and parabolic equation techniques, for mathematical models of underwater sound propagation and scattering. The book then offers a comprehensive introduction to modern numerical methods for time-dependent elastic wave propagation. The final part supplies an overview of high-order, low diffusion numerical methods for complex, compressible flows of aerodynamics. Concentrating on physics and technology, this volume provides the necessary computational methods to effectively tackle the sources of problems that involve some type of wave motion.Table of ContentsPreface. Nonlinear Dispersive Waves: Numerical Simulations of Singular Solutions of Nonlinear Schrödinger Equations. Numerical Solution of the Nonlinear Helmholtz Equation. Theory and Numerical Analysis of Boussinesq Systems: A Review. The Helmholtz Equation and its Paraxial Approximations in Underwater Acoustics: Finite Element Discretization of the Helmholtz Equation in an Underwater Acoustic Waveguide. Parabolic Equation Techniques in Underwater Acoustics. Numerical Solution of the Parabolic Equation in Range-Dependent Waveguides. Exact Boundary Conditions for Acoustic PE Modeling over an N2-Linear Half-Space. Numerical Methods for Elastic Wave Propagation. Introduction and Orientation. The Mathematical Model for Elastic Wave Propagation. Finite Element Methods with Continuous Displacement. Finite Element Methods with Discontinuous Displacement. Fictitious Domains Methods for Wave Diffraction. Space Time Mesh Refinement Methods. Numerical Methods for Treating Unbounded Media. Waves in Compressible Flows. High-Order Accurate Space Discretization Methods for Computational Fluid Dynamics. Governing Equations. High-Order Finite-Difference Schemes. ENO and WENO Schemes. The Discontinuous Galerkin (DG) Method. Index.

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Book SynopsisProviding a unified account of nonrelativistic quantum mechanics, Fundamentals of Quantum Mechanics covers the principles and formalism of quantum mechanics and the development and application of general techniques for the solution of quantum mechanical problems. The author has done everything possible to make the math in this book accessible.The book is divided into three parts. The first part provides the historical basis and mathematical foundations on nonrelativistic quantum theory. The physical systems considered in this part are mainly in one dimension. The second part covers the fundamentals of quantum theory in three dimensions. Many-particle systems, the motion of a particle in three dimensions, angular and spin momenta, interaction of a charged particle with external fields, and matrix mechanical formulation of quantum mechanics are discussed in this part. The third part contains the approximation methods used in quantum mechanics and scattering theory. Carefully designed to cover the entire topic, the book provides sufficient breadth and depth both to familiarize readers with the basic ideas and mathematical expressions of quantum mechanics and to form the basis for deeper understanding.Table of ContentsFundamentals and One-Dimensional Systems. Three-Dimensional Systems. Approximation Methods and Scattering Theory.

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Book SynopsisExtending and generalizing the results of rational equations,Dynamics of Third Order Rational Difference Equations with Open Problems and Conjectures focuses on the boundedness nature of solutions, the global stability of equilibrium points, the periodic character of solutions, and the convergence to periodic solutions, including their periodic trichotomies. The book also provides numerous thought-provoking open problems and conjectures on the boundedness character, global stability, and periodic behavior of solutions of rational difference equations. After introducing several basic definitions and general results, the authors examine 135 special cases of rational difference equations that have only bounded solutions and the equations that have unbounded solutions in some range of their parameters. They then explore the seven known nonlinear periodic trichotomies of third order rational difference equations. The main part of the book presents the known results of each of the 225 special cases of third order rational difference equations. In addition, the appendices supply tables that feature important information on these cases as well as on the boundedness character of all fourth order rational difference equations. A Framework for Future Research The theory and techniques developed in this book to understand the dynamics of rational difference equations will be useful in analyzing the equations in any mathematical model that involves difference equations. Moreover, the stimulating conjectures will promote future investigations in this fascinating, yet surprisingly little known area of research.Table of ContentsPreface. Introduction. Preliminaries. Equations with Bounded Solutions. Existence of Unbounded Solutions. Period Trichotomies. Known Results for Each of the 225 Special Cases. Appendices. Bibliography. Index.

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Book SynopsisThis book focuses mainly on the recent developments of all types of theoretical, mathematical, and computational conceptions, as well as modelling and simulation of specific research themes covering all scientific and technical disciplines from chemistry, physics, and engineering to biology and medicine. The book contains timely reviews and research covering fundamental and applied research aspects in all disciplines of natural sciences, including their historical representations and philosophical perspectives. The book discusses the fact that the largest and smallest values of the fukui function and local softness do not necessarily correspond to the softness and hardness regions of the molecules such as porphyrins. The authors have adopted two popular calculation procedures for this venture. One is the very old Hückel molecular orbital calculation, and the other is one of best semi-empirical AM-1 procedures for such systems. Our finding is that neither the fukui functions nor the local softnesses can predict the preferred donor sites of porphyrins toward metal ions. Table of ContentsPreface. The Time Evolution of the Hard and Soft Acids and Bases (HSAB) Theory. Magneto Hydrodynamic Effects on an Atherosclerotic Artery: A Theoretical Study. A Fast Solver for the Backward Heat Conduction Problem in Unbounded Domains. Steganographic Method for Color Images Using Variance Field Estimation and Scaling Factor for Energy Conservation. Breviary of Quantum Computation. Classical Charged Particles in Arbitrary Motion. Second Order Linear Differential Equation in Its Exact Form. On the Operator Exp( 2 Λ (P + Q)). Quantum Computational Studies on Porphycene. The Evaluation of Protonation Energy of Molecules in Terms of Quantum Theoretical Descriptors. Analysis of Casson Fluid Model for Blood Flow in Externally Applied Magnetic Field. Index.

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Book SynopsisThis volume provides a good understanding of the binary fluid system, highlighting new dimensions of the existing Kalina cycle system, a thermodynamic process for converting thermal energy into usable mechanical power. The book illustrates that providing new flexibility leads to new research outcomes and possible new projects in this field.The information provided in the book simplifies the application of the Kalina cycle system with an easy-to-understand and thorough explanation of properties development, processes solutions, sub-system work, and total system work. There are currently no books available in the area of binary fluid system in the field of KCS with added fallibility in the operation and process design. Currently decentralized power systems are gaining more attention due to shortages in power, and cooling demands are competing with other electrical loads. This book fills a valuable information gap, providing insight into a new dimension for designers, practicing engineers, and academicians in this area.Table of ContentsHistory of Developments. Basic Thermodynamics. Thermodynamic Properties of Ammonia-Water Mixture. Binary Mixture Thermodynamic Processes. Kalina Cycle System with Low Temperature Heat Recovery. Kalina Cycle System with Intermediate Temperature Heat Recovery. Kalina Cycle System with High Temperature Heat Recovery. Cooling Cogeneration.

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Book SynopsisDesigned for the 21st century classroom, this textbook poses, refines, and analyzes questions of sustainability in a quantitative environment. Building mathematical knowledge in the context of issues relevant to every global citizen today, this text takes an approach that empowers students of all disciplines to understand and reason with quantitative information. Whatever conclusions may be reached on a given topic, this book will prepare the reader to think critically about their own and other people’s arguments and to support them with careful, mathematical reasoning. Topics are grouped in themes of measurement, flow, connectivity, change, risk, and decision-making. Mathematical thinking is at the fore throughout, as students learn to model sustainability on local, regional, and global scales. Exercises emphasize concepts, while projects build and challenge communication skills. With no prerequisites beyond high school algebra, instructors will find this book a rich resource for engaging all majors in the mathematics classroom. From the Foreword No longer will you be just a spectator when people give you quantitative information—you will become an active participant who can engage and contribute new insights to any discussion.[…] There are many math books that will feed you knowledge, but it is rare to see a book like this one that will help you cultivate wisdom.[…] As the authors illustrate, mathematics that pays attention to human considerations can help you look at the world with a new lens, help you frame important questions, and help you make wise decisions. Francis Edward Su, Harvey Mudd CollegeTrade Review“This is a most revolutionary book, and I would love to teach a course using it! There is much interest in what is variously termed quantitative literacy (QL), quantitative reasoning (QR), and critical thinking (CT). This book is the first in a series of Texts for Quantitative Critical Thinking … . I do not want to fail to mention that the book’s layout is simply beautiful.” (Paul J. Campbell, Mathematics Magazine, Vol. 92 (1), November, 2018)Table of Contents1. Measuring.- 2. Flowing.- 3. Networking.- 4. Changing.- 5. Risking.- 6. Deciding.- 7. Case Studies.- 8. Resources.- List of Figures.- List of Tables.- Bibliography.- Index.

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Book SynopsisFeaturing contributions from industry and academia, this volume includes chapters covering a diverse range of theoretical and empirical aspects of actuarial science and quantitative finance, including portfolio management, derivative valuation, risk theory and the economics of insurance. Developed from the First International Congress on Actuarial Science and Quantitative Finance, held at the Universidad Nacional de Colombia in Bogotá in June 2014, this volume highlights different approaches to issues arising from industries in the Andean and Carribean regions. Contributions address topics such as Reverse mortgage schemes and urban dynamics, modeling spot price dynamics in the electricity market, and optimizing calibration and pricing with SABR models.Table of ContentsModeling Electricity Spot Price Dynamics by Using Levy-Type Cox Processes: An Application to the Colombian Market.- Using Value-at-Risk (VaR) to Measure Market Risk of the Equity Inventory of a Market Maker.- Reverse mortgage schemes financing urban dynamics using the multiple decrement approach.- Speedup of Calibration and Pricing with SABR models: from equities to interest rates derivatives.- Bergman, Piterbarg and Beyond: Pricing Derivatives under Collateralization and Differential Rates.

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Book SynopsisBasierend auf ihrer 40-jährigen Erfahrung beschreiben Wissenschaftler Konzepte und Einzelaspekte der Gestaltung von Führungsinformationssystemen – eine der zentralen Aufgaben in der Bundeswehr und bei Organisationen mit Sicherheitsaufgaben (z. B. Polizei, Rettungswesen). In ihren Beiträgen reflektieren die Autoren Probleme bei der Vernetzung unterschiedlicher Systeme. Dazu werden Informationsstrukturen und Prozesse untersucht, Systemarchitekturen ausgewertet und kombiniert sowie Laborstudien und Feldversuche beschrieben.Table of ContentsEinführung.- Softwarearchitektur und übergreifende Aspekte.- Grundlagen der Interoperabilität.- Konzeption verteilter Führungsinformationssysteme.- Management verteilter Führungsinformationssysteme.- Integration von heterogenen Quellen.- Anbindung von Geoinformationssystemen an FüInfoSys.- Dynamische Verteilung von Daten in taktischen Netzen.- Intelligente Daten-Filterung in FüInfoSys.- Assistenzsysteme.- Wissens- und Workflowmanagement.- Auftragsmanagement.- Grafische Aktionsplanung.- Multilinguale Textinhaltserschließung auf militärischen Texten.- Sprachverarbeitung militärisch relevanter Audiodaten.- Interoperabilität, Standards und Projekte.- Überblick über Interoperabilitätsstandards.- Architekturrahmenwerke.- Das Joint Consultation Command and Control Information Exchange Data Model.- Battle Management Language.- Interoperabilität in der Lagebearbeitung.- MAJIIC – ISR-Interoperabilität für weiträumige Bodenaufklärung.- Sichere Kommunikation in heterogenen militärischen Netzen.- Testen der semantischen Interoperabilität von Führungsinformationssystemen.

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Book SynopsisFrom the reviews: "All in all, Graham Borradaile has written and interesting and idiosyncratic book on statistics for geoscientists that will be welcome among students, researchers, and practitioners dealing with orientation data. That should include engineering geologists who work with things like rock fracture orientation measurements or clast alignment in paleoseismic trenches. It won’t replace the collection of statistics and geostatistics texts in my library, but it will have a place among them and will likely be one of several references to which I turn when working with orientation data.... The text is easy to follow and illustrations are generally clear and easy to read..."(William C. Haneberg, Haneberg Geoscience)Trade ReviewFrom the reviews: "All in all, Graham Borradaile has written and interesting and idiosyncratic book on statistics for geoscientists that will be welcome among students, researchers, and practitioners dealing with orientation data. That should include engineering geologists who work with things like rock fracture orientation measurements or clast alignment in paleoseismic trenches. It won’t replace the collection of statistics and geostatistics texts in my library, but it will have a place among them and will likely be one of several references to which I turn when working with orientation data.... The text is easy to follow and illustrations are generally clear and easy to read..."(William C. Haneberg, Haneberg Geoscience) "This monograph is an introductory course in statistically processed data types in earth sciences, where large sample contemporary methods of data gathering are required. … The book is intended for higher course students and aspirants in all earth sciences. It will be helpful for professional researchers in data processing in electronic tables. In contrast to usual textbooks on statistics, this book includes material on sample formation, time series and oriented data up to three dimensions, and is illustrated by substantive examples." (Sultan G. Valeev, Zentralblatt MATH, Vol. 1041 (16), 2004) "The statistical analysis of geological data requires, more often than not, techniques that are only covered by advanced courses in statistics. … G. Borradaile recognises this, and uses it as the starting point for his book … . he succeeds in demonstrating how treatment of Earth Science data can be greatly enhanced and quantified without great pain. … Statistics of Earth Science Data is a very convenient and complete introduction in statistics, with an approach that will be appreciated by geologists and other Earth scientists." (Kris Piessens, Geologica Belgica, Issue 7, 2004)Table of ContentsIntroduction.- Sampling Schemes.- Central Tendency and Dispersion.- Theoretical Distributions: Binomial, Poisson and Normal Distributions.- Statistical Interference: Estimation and Hypothesis Tests.- Comparing Frequency.- Distribution Curves.- Regression: Linear, Curvilinear and Multilinear.- Correlation and Comparison of Variables.- Sequences, Cycles and Time-series.- Circular Orientation Data.- Spherical Orientation Data.- Spherical Orientation Data: Tensors.- Errors in Compound Quantities.- Notes on the Manual Use of Stereograms.

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Book SynopsisDas Lehrbuch bietet umfangreiche Anleitungen und Übungsaufgaben zum Band „Mathematik für Physiker“ desselben Autors. Die Studienanleitungen mit Fragen und Kontrollaufgaben erleichtern Lesern das eigenständige Erarbeiten des Stoffs. In zusätzlichen Erläuterungen vertieft der Autor einzelne Themenfelder und geht auf individuelle Lernschwierigkeiten ein. Band 2 des Übungswerks enthält über 700 Aufgaben mit ausführlichen Lösungen und ist der ideale Begleiter für Bachelor-Studierende der Physik während des zweiten Semesters.Table of ContentsFunktionen mehrerer Variablen.- Partielle Ableitung, totales Differential.- Mehrfachintegrale, Parameterdarstellung.- Oberflächenintegrale.- Divergenz und Rotation.- Koordinatentransformation, Matrizen.- Lineare Gleichungssysteme.- Eigenwerte, Eigenvektoren.- Fourierreihen.- Fourier-Integrale, Fourier-Transformation.- Laplace-Transformation.- Wellengleichungen.

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Book SynopsisDer Band bietet eine Schritt-für-Schritt-Einführung in das numerische Rechnen mit den Programmen MATLAB, Scilab und Octave. Anhand zahlreicher Beispiele zeigen die Autoren, wie die mathematischen Tools zur Lösung mathematischer, physikalischer und insbesondere ingenieurwissenschaftlicher Aufgaben eingesetzt werden können. Dazu gehören die Lösung von linearen Gleichungssystemen, nichtlinearen Gleichungen und Differentialgleichungen, die Fourier- und Wavelet-Transformation, Kurvenanpassung und Interpolation sowie die numerische Integration.Trade Review“... Zum Nachschlagen enthält jedes Kapitel eine Zusammenfassung, und ganz am Ende stehen einige Testfragen sowie eine kleine Literaturliste, so dass sich der neugierige Leser weiteres Futter verschaffen kann. ... erkunden die Autoren einige Teilbereiche der numerischen Mathematik, die für Anfänger geeignet sind. ... Die vielen Beispiele und Aufgaben unterstützen den Leser enorm ... Wer sich für das Lösen numerischer Probleme mit zeitgemäßen Werkzeugen interessiert, der kann zunächst bedenkenlos zu diesem Werk greifen.” (Harald Löwe, in: Mathematische Semesterberichte, Jg. 62, 2015, S. 114 f.) Table of Contents

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