Applied mathematics Books

Book SynopsisTechnical Analysis of Stock Trends helps investors make smart, profitable trading decisions by providing proven long- and short-term stock trend analysis. It gets right to the heart of effective technical trading concepts, explaining technical theory such as The Dow Theory, reversal patterns, consolidation formations, trends and channels, technical analysis of commodity charts, and advances in investment technology. It also includes a comprehensive guide to trading tactics from long and short goals, stock selection, charting, low and high risk, trend recognition tools, balancing and diversifying the stock portfolio, application of capital, and risk management. This updated new edition includes patterns and modifiable charts that are tighter and more illustrative. Expanded material is also included on Pragmatic Portfolio Theory as a more elegant alternative to Modern Portfolio Theory; and a newer, simpler, and more powerful alternative to Dow Theory is presented.Table of ContentsPart I: Technical theory 1. The technical approach to trading and investing 2. Charts 3. The Dow Theory 4. The Dow Theory’s defects 5. Replacing Dow Theory with John Magee’s Basing points Procedure 6. Important Reversal Patterns 7. Important Reversal Patterns: continued 8. Important Reversal Patterns: the Triangles 9. More important Reversal Patterns 10. Other Reversal phenomena 11. Consolidation Formations 12. Gaps 13. Support and Resistance 14. Trendlines and Channels 15. Major Trendlines 16. Technical analysis of commodity charts 17. A summary and concluding comments Part II: Trading tactics 18. The tactical problem 19. The all-important details 20. The kind of stocks we want: the speculator’s viewpoint 21. Selection of stocks to chart 22. Selection of stocks to chart: continued 23. Choosing and managing high-risk stocks: tulip stocks, Internet sector, and speculative frenzies 24. The probable moves of your stocks 25. Two touchy questions 26. Round lots or odd lots? 27. Stop orders 28. What is a Bottom and what is a Top? 29. Trendlines in action 30. Use of Support and Resistance 31. Not all in one basket 32. Measuring implications in technical chart patterns 33. Tactical review of chart action 34. A quick summation of tactical methods 35. Effect of technical trading on market action 36. Automated trendline: the Moving Average 37. The same old patterns 38. Balanced and diversified 39. Trial and error 40. How much capital to use in trading 41. Application of capital in practice 42. Portfolio risk management 43. Stick to your guns

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Book SynopsisApplied Calculus for Business, Economics, and the Social and Life Sciences, Expanded Edition provides a sound, intuitive understanding of the basic concepts students need as they pursue careers in business, economics, and the life and social sciences. Students achieve success using this text as a result of the author''s applied and real-world orientation to concepts, problem-solving approach, straight forward and concise writing style, and comprehensive exercise sets. More than 100,000 students worldwide have studied from this text!Table of ContentsChapter 1: Functions, Graphs, and Limits1.1 Functions1.2 The Graph of a Function1.3 Linear Functions1.4 Functional Models1.5 Limits1.6 One-Sided Limits and ContinuityChapter 2: Differentiation: Basic Concepts2.1 The Derivative2.2 Techniques of Differentiation2.3 Product and Quotient Rules; Higher-Order Derivatives2.4 The Chain Rule2.5 Marginal Analysis and Approximations Using Increments2.6 Implicit Differentiation and Related RatesChapter 3: Additional Applications of the Derivative3.1 Increasing and Decreasing Functions; Relative Extrema3.2 Concavity and Points of Inflection3.3 Curve Sketching3.4 Optimization; Elasticity of Demand3.5 Additional Applied OptimizationChapter 4: Exponential and Logarithmic Functions4.1 Exponential Functions; Continuous Compounding4.2 Logarithmic Functions4.3 Differentiation of Exponential and Logarithmic Functions4.4 Applications; Exponential ModelsChapter 5: Integration5.1 Indefinite Integration with Applications5.2 Integration by Substitution5.3 The Definite Integral and the Fundamental Theorem of Calculus5.4 Applying Definite Integration: Area Between Curves and Average Value5.5 Additional Applications to Business and Economics5.6 Additional Applications to the Life and Social SciencesChapter 6: Additional Topics in Integration6.1 Integration by Parts; Integral Tables6.2 Numerical Integration6.3 Improper IntegralsChapter 7: Calculus of Several Variables7.1 Functions of Several Variables7.2 Partial Derivatives7.3 Optimizing Functions of Two Variables7.4 The Method of Least-Squares7.5 Constrained Optimization: The Method of Lagrange Multipliers7.6 Double IntegralsChapter 8: Trigonometric Functions8.1 Angle Measurement; Trigonometric Functions8.2 Derivatives of Trigonometric Functions8.3 Integrals of Trigonometric FunctionsChapter 9: Differential Equations9.1 Introduction to Differential Equations9.2 First-Order Linear Differential Equations9.3 Additional Applications of Differential Equations9.4 Approximate Solutions of Differential Equations9.5 Difference Equations; The Cobweb ModelChapter 10: Probability and Calculus10.1 Continuous Probability Distributions10.2 Expected Value and Variance10.3 Normal DistributionsChapter 11: Infinite Series and Taylor Series Approximations11.1 Infinite Series; Geometric Series11.2 Tests for Convergence11.3 Functions as Power Series; Taylor SeriesAppendix A: Algebra ReviewA.1 A Brief Review of AlgebraA.2 Factoring Polynomials and Solving Systems of EquationsA.3 Evaluating Limits with L’Hopital’s RuleA.4 The Summation Notation

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Book SynopsisStudents and instructors alike will benefit from this rigorous, unfussy text, which keeps a clear focus on the basic probabilistic concepts required for an understanding of financial market models, including independence and conditioning. Assuming only some calculus and linear algebra, the text develops key results of measure and integration, which are applied to probability spaces and random variables, culminating in central limit theory. Consequently it provides essential prerequisites to graduate-level study of modern finance and, more generally, to the study of stochastic processes. Results are proved carefully and the key concepts are motivated by concrete examples drawn from financial market models. Students can test their understanding through the large number of exercises and worked examples that are integral to the text.Table of ContentsPreface; 1. Probability space; 2. Probability distributions and random variables; 3. Product measure and independence; 4. Conditional expectation; 5. Sequences of random variables; Index.

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Book SynopsisThis book presents topics in a single source format using unified spectral theory of computing. With developments of DNS and LES, practitioners are rediscovering waves as important in fluid flows, and capturing these numerically is central to high accuracy computing. Analysis of waves and its use in numerical methods in propagating energy at the right velocity (dispersion effects) and with right amplitude (dissipation) are essential. Most industrial codes using Reynolds-averaged NavierStokes equations with turbulence models cannot conceive of capturing waves. The new themes covered in this book are: Correct error propagation analysis Practical compact schemes and global analysis tool Aliasing error and its alleviation Spurious upstream propagating q-waves Explanation of the Gibbs phenomenon New 1D and 2D filters for LES/DNS without SGS modelling Anisotropic skewed wave propagation Development and analysis of dispersion relation preservation (DRP) schemes Flow instabilities andTable of ContentsForeword; Preface; 1. Introduction to scientific computing; 2. Governing equations of fluid mechanics; 3. Classification of quasi-linear partial differential equations; 4. Waves and space-time dependence in computing; 5. Spatial and temporal discretizations of partial differential equations; 6. Solution methods for parabolic partial differential equations; 7. Solution methods for elliptic partial differential equations; 8. Solution of hyperbolic PDEs: signal and error propagation; 9. Curvilinear coordinates and grid generation; 10. Spectral analysis of numerical schemes and aliasing error; 11. Higher accuracy and higher order methods; 12. Introduction to finite volume and finite element methods; 13. Solution of Navier–Stokes equations; 14. Recent developments in discrete computing; Exercises; References.

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Book SynopsisThis authoritative work provides an in-depth treatment of state space methods, with a range of applications in neural and clinical data. Advanced and state-of-the-art research topics are detailed, including topics in state space analyses, maximum likelihood methods, variational Bayes, sequential Monte Carlo, Markov chain Monte Carlo, nonparametric Bayesian, and deep learning methods. Details are provided on practical applications in neural and clinical data, whether this is characterising time series data from neural spike trains recorded from the rat hippocampus, the primate motor cortex, or the human EEG, MEG or fMRI, or physiological measurements of heartbeats or blood pressures. With real-world case studies of neuroscience experiments and clinical data sets, and written by expert authors from across the field, this is an ideal resource for anyone working in neuroscience and physiological data analysis.Table of Contents1. Introduction Z. Chen; 2. Inference and learning in latent Markov models D. Barber and S. Chiappa; Part I. State Space Methods for Neural Data: 3. State space methods for MEG source reconstruction M. Fukushima, O. Yamashita and M. Sato; 4. Autoregressive modeling of fMRI time series: state space approaches and the general linear model A. Galka, M. Siniatchkin, U. Stephani, K. Groening, S. Wolff, J. Bosch-Bayard and T. Ozaki; 5. State space models and their spectral decomposition in dynamic causal modeling R. Moran; 6. Estimating state and parameters in state space models of spike trains J. H. Macke, L. Buesing and M. Sahani; 7. Bayesian inference for latent stepping and ramping models of spike train data K. W. Latimer, A. C. Huk and J. W. Pillow; 8. Probabilistic approaches to uncover rat hippocampal population codes Z. Chen, F. Kloosterman and M. A. Wilson; 9. Neural decoding in motor cortex using state space models with hidden states W. Wu and S. Liu; 10. State-space modeling for analysis of behavior in learning experiments A. C. Smith; Part II. State Space Methods for Clinical Data: 11. Bayesian nonparametric learning of switching dynamics in cohort physiological time series: application in critical care patient monitoring L. H. Lehman, M. J. Johnson, S. Nemati, R. P. Adams and R. G. Mark; 12. Identifying outcome-discriminative dynamics in multivariate physiological cohort time series S. Nemati and R. P. Adams; 13. A dynamic point process framework for assessing heartbeat dynamics and cardiovascular functions Z. Chen and R. Barbieri; 14. Real-time segmentation and tracking of brain metabolic state in ICU EEG recordings of burst suppression M. B. Westover, S. Ching, M. M. Shafi, S. S. Cash and E. N. Brown; 15. Signal quality indices for state-space electrophysiological signal processing and vice versa J. Oster and G. D. Clifford.

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Book SynopsisState-of-the-art analysis of geological structures has become increasingly quantitative but traditionally, graphical methods are used in teaching. This innovative lab book provides a unified methodology for problem-solving in structural geology using linear algebra and computation. Assuming only limited mathematical training, the book begins with classic orientation problems and progresses to more fundamental topics of stress, strain and error propagation. It introduces linear algebra methods as the foundation for understanding vectors and tensors, and demonstrates the application of geometry and kinematics in geoscience without requiring students to take a supplementary mathematics course. All algorithms are illustrated with a suite of online MATLAB functions, allowing users to modify the code to solve their own structural problems. Containing 20 worked examples and over 60 exercises, this is the ideal lab book for advanced undergraduates or beginning graduate students. It will also pTrade Review'I like this book. The material covered, the level of detail and the inclusion of MATLAB scripts make this a timely, relevant and very useful textbook … [it] will help structural geologists - of all levels - make that critical leap from purely geometrical analyses, through kinematics and into the underlying continuum mechanics of rock deformation. A worthy addition to your bookshelf.' Geological Magazine'I highly recommend this book to all structural geology students and practitioners, as well as to earth scientists from a wide range of fields, who will benefit from this clear introduction of the principles and application of linear algebra in the analysis of commonly encountered vector and tensor quantities.' Roland Bürgmann, University of California, Berkeley'The book is suitable for numerate researchers and advanced undergraduates who are reasonably comfortable with mathematics … it is essential in the twenty-first century that we have numerate geoscientists trained in quantitative techniques of structural geology … The authors take care to describe the basics of tensor algebra as well as its application; this book is a solid foundation for understanding the mathematical analysis of how the Earth deforms.' John Wheeler, American MineralogistTable of ContentsPreface; 1. Problem solving in structural geology; 2. Coordinate systems, scalars and vectors; 3. Transformations of coordinate axes and vectors; 4. Matrix operations and indicial notation; 5. Tensors; 6. Stress; 7. Introduction to deformation; 8. Infinitesimal strain; 9. Finite strain; 10. Progressive strain histories and kinematics; 11. Velocity description of deformation; 12. Error analysis; References; Index.

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Book SynopsisThis volume contains a selection of survey articles and original research papers concerned with the rigorous mathematical theory of fluid mechanics, written by leading researchers. The book serves both as a helpful overview for graduate students new to the area and as a useful resource for more established researchers.Table of ContentsPreface; List of contributors; 1. Towards fluid equations by approximate deconvolution models L. C. Berselli; 2. On flows of fluids described by an implicit constitutive equation characterized by a maximal monotone graph M. Bulíček, P. Gwiazda, J. Málek, K. R. Rajagopal and A. Świerczewska-Gwiazda; 3. A continuous model for turbulent energy cascade A. Cheskidov, R. Shvydkoy and S. Friedlander; 4. Remarks on complex fluid models P. Constantin; 5. A naive parametrization for the vortex-sheet problem A. Castro, D. Córdoba and F. Gancedo; 6. Sharp and almost-sharp fronts for the SQG equation C. L. Fefferman; 7. Feedback stabilization for the Navier–Stokes equations: theory and calculations A. V. Fursikov and A. A. Kornev; 8. Interacting vortex pairs in inviscid and viscous planar flows T. Gallay; 9. Stretching and folding diagnostics in solutions of the three-dimensional Euler and Navier–Stokes equations J. D. Gibbon and D. D. Holm; 10. Exploring symmetry plane conditions in numerical Euler solutions R. M. Kerr and M. D. Bustamante; 11. On the decay of solutions of the Navier–Stokes system with potential forces I. Kukavica; 12. Leray–Hopf solutions to Navier–Stokes equations with weakly converging initial data G. Seregin.

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Book SynopsisComplex environmental and hydrological processes are characterized by more than one correlated random variable. These events are multivariate and their treatment requires multivariate frequency analysis. Traditional analysis methods are, however, too restrictive and do not apply in many cases. Recent years have therefore witnessed numerous applications of copulas to multivariate hydrologic frequency analyses. This book describes the basic concepts of copulas, and outlines current trends and developments in copula methodology and applications. It includes an accessible discussion of the methods alongside simple step-by-step sample calculations. Detailed case studies with real-world data are included, and are organized based on applications, such as flood frequency analysis and water quality analysis. Illustrating how to apply the copula method to multivariate frequency analysis, engineering design, and risk and uncertainty analysis, this book is ideal for researchers, professionals and graduate students in hydrology and water resources engineering.Table of Contents1. Introduction; 2. Preliminaries; 3. Copulas and their properties; 4. Symmetric Archimedean copulas; 5. Asymmetric copulas: high dimension; 6. Plackett copula; 7. Non-Archimedean copulas: meta-elliptical copulas; 8. Entropic copulas; 9. Copulas in time series analysis; 10. Rainfall frequency analysis; 11. Flood frequency analysis; 12. Water quality analysis; 13. Drought analysis; 14. Compound extremes; 15. Network design; 16. Suspended sediment yield analysis; 17. Inter-basin transfer; Index.

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Book SynopsisExperts in data analytics and power engineering present techniques addressing the needs of modern power systems, covering theory and applications related to power system reliability, efficiency, and security. With topics spanning large-scale and distributed optimization, statistical learning, big data analytics, graph theory, and game theory, this is an essential resource for graduate students and researchers in academia and industry with backgrounds in power systems engineering, applied mathematics, and computer science.Trade Review'There are only a few industries that generate an equally large amount of data with a comparable variety, and societal importance. Data analytics is thus rightfully at the heart of modern power systems operations and planning. Focusing on applications in power systems, this book gives an excellent account of recent developments and of the broad range of algorithms and tools in the area of data analytics, as well as of the applications of these tools for solving challenging problems from a novel angle. Covering a wide range of fundamental problems, from state estimation to load scheduling and anomaly detection, the book is not only an excellent source of inspiration, but can also serve as an extensive reference for the gamut of operational problems faced in the power industry.' György Dán, KTH Royal Institute of Technology'The editors have brought together leading researchers at the intersection of data analytics and power systems to provide us with an authoritative reference that is comprehensive, coherent and timely. It treats classical topics such as state estimation, optimal power flow, and anomaly identification, as well as emerging topics such as phase measurement unit data recovery and privacy, probabilistic price forecasting, and distributed load management. It introduces a wide array of modern techniques to power system analysis from sparse representation, graph signal processing, distributed and feedback optimization, statistics and random matrix theory, deep learning, and mean field games. A useful reference for students, researchers, and practitioners.' Steven Low, CaltechTable of ContentsIntroduction; Preface Ali Tajer, Samir M. Perlaza and H. Vincent Poor; 1. Learning power grid topologies Guido Cavraro, Vassilis Kekatos, Liang Zhang and Georgios B. Giannakis; 2. Probabilistic forecasting of power system and market operations Yuting Ji, Lang Tong and Weisi Deng; 3. Deep learning in power systems Yue Zhao and Baosen Zhang; 4. Estimating the system state and network model errors Ali Abur, Murat Gol and Yuzhang Lin; 5. Quickest detection and isolation of tranmission line outages Venugopal V. Veeravalli and Alejandro Dominguez-Garcia; 6. Active sensing for quickest anomaly detection Ali Tajer and Javad Heydari; 7. Random matrix theory for analyzing spatio-temporal data Robert Qiu, Xing He, Lei Chu and Xin Shi; 8. Graph-theoretic analysis of power grid robustness Dorcas Ofori-Boateng, Asim Kumer Dey, Yulia R. Gel and H. Vincent Poor; 9. Bayesian attacks Inaki Esnaola, Samir M Perlaza and Ke Sun; 10. Smart meter data privacy Giulio Giaconia, Deniz Gunduz and H. Vincent Poor; 11. Data quality and privacy enhancement Meng Wang and Joe H Chow; 12. Frequency estimation using voltage phasor angles revisited Danilo P. Mandic, Sithan Kanna, Yili Xia and Anthony G. Constantinides; 13. Graph signal processing for the power grid Anna Scaglione, Raksha Ramakrishna and Mahdi Jamei; 14. A sparse representation approach for anomaly identification Hao Zhu and Chen Chen; 15. Uncertainty-aware power systems operation Daniel Bienstock; 16. Distributed optimization for power and energy systems Emiliano Dall'Anese and Nikolaos Gatsis; 17. Distributed load management Changhong Zhao, Vijay Gupta and Ufuk Topcu; 18. Analytical models for emerging energy storage applications I. Safak Bayram and Michael Devetsikiotis; 19. Distributed power consumption scheduling Samson Lasaulce, Olivier Beaude and Mauricio Gonz´alez; 20. Electric vehicles and mean-field Dario Bauso and Toru Namerikawa; 21. Prosumer behaviour: decision making with bounded horizon Mohsen Rajabpour, Arnold Glass, Robert Mulligan and Narayan B. Mandayam; 22. Storage allocation for price volatility management in electricity markets Amin Masoumzadeh, Ehsan Nekouei and Tansu Alpcan.

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Book SynopsisGame theory has revolutionised our understanding of industrial organisation and the traditional theory of the firm. Despite these advances, industrial economists have tended to rely on a restricted set of tools from game theory, focusing on static and repeated games to analyse firm structure and behaviour. Luca Lambertini, a leading expert on the application of differential game theory to economics, argues that many dynamic phenomena in industrial organisation (such as monopoly, oligopoly, advertising, R&D races) can be better understood and analysed through the use of differential games. After illustrating the basic elements of the theory, Lambertini guides the reader through the main models, spanning from optimal control problems describing the behaviour of a monopolist through to oligopoly games in which firms'' strategies include prices, quantities and investments. This approach will be of great value to students and researchers in economics and those interested in advanced applicaTable of Contents1. Elements of optimal control, dynamic programming and differential game theory; 2. Monopoly; 3. Oligopoly; 4. Advertising; 5. Product differentiation; 6. Innovation; 7. The environment and natural resources; 8. International trade; 9. Stackelberg games; Index.

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Book SynopsisMaintaining the substance that made Introduction to the Thermodynamic of Materials a perennial best seller for decades, this Sixth Edition is updated to reflect the broadening field of materials science and engineering. The new edition is reorganized into three major sections to align the book for practical coursework, with the first (Thermodynamic Principles) and second (Phase Equilibria) sections aimed at use in a one semester undergraduate course. The third section (Reactions and Transformations) can be used in other courses of the curriculum that deal with oxidation, energy, and phase transformations. The book is updated to include the role of work terms other than PV work (e.g., magnetic work) along with their attendant aspects of entropy, Maxwell equations, and the role of such applied fields on phase diagrams. There is also an increased emphasis on the thermodynamics of phase transformations and the Sixth Edition features an entirely new chapter 15 that links specific Trade Review"I love this book and will strongly recommend it to my students. It is an excellent textbook for undergraduate students who are studying in materials science." —Jongee Park, Atılım University, Ankara, Turkey"A comprehensive book on thermodynamics in metallic systems with the underlying theory ‘crystal’ clear explained."—Sybrand van der Zwaag, Delft University of Technology, Netherlands"The book is logically organized in three sections: thermodynamic principles, phase equilibria, and reactions and transformations. Each chapter contains a summary and nearly every chapter provides detailed examples. The new edition includes additional thermodynamic work terms beyond pdV or Tds or udN such as magnetic work and how the fields within these work terms are experimentally relevant."—Bill Knowlton, Boise State University, Idaho, USA"The text is easy to follow for undergraduate students doing a course in thermodynamics of materials. The thermodynamic consideration of magnetic materials is particularly useful for graduate students working on magnetic materials. I find the effect of magnetism and magnetic work in the analysis very useful. The introduction of Magnetic flavor in this textbook set it apart from other books on thermodynamics of materials"—Oh Joo Tien, Nanyang Technological University, Singapore"This book gives a step-by-step introduction to the thermodynamics of materials. After an exposition of the fundamental concepts, examples of increasing difficulty are treated, which contain many ‘real-world’ applications. Many examples are laid out in details, and numerous diagrams are given to make sure that a solid understanding is reached. Therefore, this book gives solid foundations in thermodynamics for engineering students. Equipped with this knowledge, the students can go on toward more specialized studies or to the reading of research papers."—Mathis Plapp, CNRS/Ecole Polytechnique, Palaiseau, France"This book provides a solid foundation in the thermodynamic theory necessary for any study of Materials Science. It would be ideal for undergraduate students who are learning this topic for the first time, but is also useful as a refresher of the fundamentals for graduate students and researchers working in this field. The inclusion of worked examples and problems is particularly valuable in helping to practice the application of thermodynamic theory to real examples in Materials Science."—Joseph Robson, University of Manchester, United Kingdom"This book, Introduction to the Thermodynamics of Materials, Sixth Edition, is very suitable to be a text book for undergraduate students. This book can easily bring them to enter the world of Thermodynamics of Materials and make them well know concept about Thermodynamics. I always tell my friends and colleagues that this book is the Bible of the ‘Thermodynamics of Materials.’ In Taiwan, this book is also a text book for graduated school entrance examinations." —Yee-Wen Yen, National Taiwan University of Science and Technology"This text is by far the best text I have yet found for teaching thermodynamics to undergrads. I believe the emphasis on graphical representations of thermodynamic data is a very real strength for interpreting this material to the beginner. I also see significant improvements in the organization that provides greater clarity. The addition of qualitative example problems at the end of each chapter is welcome. The new Chapter 15 is a valuable contribution. This chapter is probably unlikely to be used in undergraduate teaching, but it will be extremely useful for a new generation of graduate students."—Garry Warren, University of Alabama, USA"…this new edition of classic book on thermodynamics of materials written by two stalwarts in the subject, Professors David R. Gaskell and David E. Laughlin, is the need of the hour. Although Professor Gaskell is not among us physically to inspire us, his legacy will be seen whenever we open this book on thermodynamics of materials. A great effort from Professor Laughlin in bringing out this revised edition."—Koteswararao V. Rajulapati, University of Hyderabad, India"This textbook has a very rigorous and deep approach to chemical thermodynamics. It is very clear in explaining the complex meaning of the thermodynamics rules and equations, starting from the potentials and their use to solve thermodynamics problems. Without being too advanced, it reaches all the necessary points for a thorough discussion of the matter, even entering in some detail which is not often taught in the undergraduate courses, I really appreciate the clarity and the accuracy of the language.""This Sixth Edition is updated to reflect the broadening field of materials science and engineering. The new edition is reorganized into three major sections to align the book for practical coursework, with the first (Thermodynamic Principles) and second (Phase Equilibria) sections aimed at use in a one semester undergraduate course. The third section (Reactions and Transformations) can be used in other courses of the curriculum that deal with oxidation, energy, and phase transformations. The book is updated to include the role of work terms other than PV work (e. g., magnetic work) along with their attendant aspects of entropy, Maxwell equations, and the role of such applied fields on phase diagrams. There is also an increased emphasis on the thermodynamics of phase transformations and the Sixth Edition features an entirely new chapter 15 that links specific thermodynamic applications to the study of phase transformations. The book also features more than 50 new end of chapter problems and more than 50 new figures."—HTM J. Heat Treatm. Mat. 72 (2017)—Marco Marengo, University of Brighton, United Kingdom"In my opinion, this book represents an excellent resource material on the topic of thermodynamics for students (both in the undergraduate and graduate levels) and instructors. I strongly recommend the utilization of this book as a reference and companion in undergraduate courses involving thermodynamics for materials science. This book is comprehensive, articulate, well-organized, and the reading is enjoy-able."—J. of Mater Sci (2018)"I love this book and will strongly recommend it to my students. It is an excellent textbook for undergraduate students who are studying in materials science." —Jongee Park, Atılım University, Ankara, Turkey"A comprehensive book on thermodynamics in metallic systems with the underlying theory ‘crystal’ clear explained."—Sybrand van der Zwaag, Delft University of Technology, Netherlands"The book is logically organized in three sections: thermodynamic principles, phase equilibria, and reactions and transformations. Each chapter contains a summary and nearly every chapter provides detailed examples. The new edition includes additional thermodynamic work terms beyond pdV or Tds or udN such as magnetic work and how the fields within these work terms are experimentally relevant."—Bill Knowlton, Boise State University, Idaho, USA"The text is easy to follow for undergraduate students doing a course in thermodynamics of materials. The thermodynamic consideration of magnetic materials is particularly useful for graduate students working on magnetic materials. I find the effect of magnetism and magnetic work in the analysis very useful. The introduction of Magnetic flavor in this textbook set it apart from other books on thermodynamics of materials"—Oh Joo Tien, Nanyang Technological University, Singapore"This book gives a step-by-step introduction to the thermodynamics of materials. After an exposition of the fundamental concepts, examples of increasing difficulty are treated, which contain many ‘real-world’ applications. Many examples are laid out in details, and numerous diagrams are given to make sure that a solid understanding is reached. Therefore, this book gives solid foundations in thermodynamics for engineering students. Equipped with this knowledge, the students can go on toward more specialized studies or to the reading of research papers."—Mathis Plapp, CNRS/Ecole Polytechnique, Palaiseau, France"This book provides a solid foundation in the thermodynamic theory necessary for any study of Materials Science. It would be ideal for undergraduate students who are learning this topic for the first time, but is also useful as a refresher of the fundamentals for graduate students and researchers working in this field. The inclusion of worked examples and problems is particularly valuable in helping to practice the application of thermodynamic theory to real examples in Materials Science."—Joseph Robson, University of Manchester, United Kingdom"This book, Introduction to the Thermodynamics of Materials, Sixth Edition, is very suitable to be a text book for undergraduate students. This book can easily bring them to enter the world of Thermodynamics of Materials and make them well know concept about Thermodynamics. I always tell my friends and colleagues that this book is the Bible of the ‘Thermodynamics of Materials.’ In Taiwan, this book is also a text book for graduated school entrance examinations." —Yee-Wen Yen, National Taiwan University of Science and Technology"This text is by far the best text I have yet found for teaching thermodynamics to undergrads. I believe the emphasis on graphical representations of thermodynamic data is a very real strength for interpreting this material to the beginner. I also see significant improvements in the organization that provides greater clarity. The addition of qualitative example problems at the end of each chapter is welcome. The new Chapter 15 is a valuable contribution. This chapter is probably unlikely to be used in undergraduate teaching, but it will be extremely useful for a new generation of graduate students."—Garry Warren, University of Alabama, USA"…this new edition of classic book on thermodynamics of materials written by two stalwarts in the subject, Professors David R. Gaskell and David E. Laughlin, is the need of the hour. Although Professor Gaskell is not among us physically to inspire us, his legacy will be seen whenever we open this book on thermodynamics of materials. A great effort from Professor Laughlin in bringing out this revised edition."—Koteswararao V. Rajulapati, University of Hyderabad, India"This textbook has a very rigorous and deep approach to chemical thermodynamics. It is very clear in explaining the complex meaning of the thermodynamics rules and equations, starting from the potentials and their use to solve thermodynamics problems. Without being too advanced, it reaches all the necessary points for a thorough discussion of the matter, even entering in some detail which is not often taught in the undergraduate courses, I really appreciate the clarity and the accuracy of the language."—Marco Marengo, University of Brighton, United Kingdom"This Sixth Edition is updated to reflect the broadening field of materials science and engineering. The new edition is reorganized into three major sections to align the book for practical coursework, with the first (Thermodynamic Principles) and second (Phase Equilibria) sections aimed at use in a one semester undergraduate course. The third section (Reactions and Transformations) can be used in other courses of the curriculum that deal with oxidation, energy, and phase transformations. The book is updated to include the role of work terms other than PV work (e. g., magnetic work) along with their attendant aspects of entropy, Maxwell equations, and the role of such applied fields on phase diagrams. There is also an increased emphasis on the thermodynamics of phase transformations and the Sixth Edition features an entirely new chapter 15 that links specific thermodynamic applications to the study of phase transformations. The book also features more than 50 new end of chapter problems and more than 50 new figures."—HTM J. Heat Treatm. Mat. 72 (2017) "In my opinion, this book represents an excellent resource material on the topic of thermodynamics for students (both in the undergraduate and graduate levels) and instructors. I strongly recommend the utilization of this book as a reference and companion in undergraduate courses involving thermodynamics for materials science. This book is comprehensive, articulate, well-organized, and the reading is enjoy-able."—J. of Mater Sci (2018)Table of ContentsThermodynamic Principles. Introduction and Definition of Terms. The First Law of Thermodynamics. The Second Law of Thermodynamics. The Statistical Interpretation of Entropy. The Fundamental Equations and Their Relationships. Heat Capacity, Enthalpy, Entropy, and the Third Law of Thermodynamics. Phase Equilibria. Phase Equilibrium in a One-Component System. The Behavior of Gases. The Behavior of Solutions. Gibbs Free Energy Composition and Phase Diagrams of Binary Systems. Reactions and Transformations of Phases. Reactions Involving Gases. Reactions Involving Pure Condensed Phases and a Gaseous Phase. Reaction Equilibria in Systems Containing Components in Condensed Solution. Electrochemistry. Thermodynamics and Phase Transformations. Appendices. A. Selected Thermodynamic and Thermochemical Data. B. Exact Differential Equations. C. The Generation of Additional Thermodynamic Potentials as Legendre Transformations.

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Book SynopsisThis book provides research summaries from a number of different focuses in Mathematics, and compiles biographical sketches of top professionals in this important field.

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Book SynopsisThe book has two volumes and consists of forty-four chapters, which are divided into five sections: (i) Mathematical treatment of non-linear problems, including the differential equations, numerical methods, algorithms and solutions; (ii) theoretical and computational studies dedicated to the physics and chemistry of advanced materials, nanostructured systems and fractal systems; (iii) articles dedicated to non-linear processes in complex biological processes, systems and objects; (iv) theoretical and modeling studies of kinetics, dynamics and thermochemistry of micro-, meso- and macro-scale systems; and (v) multidisciplinary research focused on forecasting, control and management problems.

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Book SynopsisThe main parts of this book consist of three long articles that have previously been published by the Galilean Electrodynamics journal during three succeeding years as special summer issues. The subject is a new theory of ether that has been developed. This version of ether is compatible with special relativity theory (SRT), and thus it cannot be considered as an absolute frame of reference. One of the virtues of this book is that many of the novel predictions can be tested in high-tech laboratories; moreover, the book includes some new and extraordinary physical concepts that make the proposed claims rational and plausible. The words on the front page, from the effect of pressure on time dilation to the unified mass-charge equation, are not intended as a gossipy slogan, the likes of which sometimes appear in pseudoscientific media or science-fiction books; it is a true motto with a deep and physical basis. It is up to the reader, however, to judge whether or not the book really does what it sets out to do. The first chapter introduces a substantial number of Einstein s general relativity predictions, which are recalculated according to density theory (DT) to validate the theory for the reader. The second chapter uses interesting concepts, some of which present empirically bizarre results and are undisclosed as of yet; e.g., it is shown that static pressure can dilate time and increase mass; the light beam is affected in specific magnetic and electrical fields, and thus we can deduce that photons are not always electrically neutral; ether negative mass causes universal expansion, and; water can behave as a biological ether especially for deep sea creatures, as its hydrostatic pressure can affect biological longevity. In chapter three, the author tries to unify mass and electrical charge one of the oldest and most disputatious physical problems in the single equation of mass + rotation = charge for the very first time in the history of science. Additionally, an alternative to the dynamo theory is brought forth. After explaining each novel concept, the author uses some numerical examples with no complicated mathematical methods beyond common calculus. These concepts and examples make the book read as an argumentative dissident textbook that is suitable for bachelor students in science and engineering who want to nourish their desires to research beyond the realm of orthodoxy in frontier physics.

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Book SynopsisAdvances in Mathematics Research presents original studies on the leading edge of mathematics. Each article has been carefully selected in an attempt to present substantial research results across a broad spectrum. Chapter One summarizes the phase/current generalized measures of the entropy/information content in complex quantum states of molecular systems. Chapter Two reviews the current knowledge regarding Mavridis'' area (MA), with emphasis on the role of applied mathematics in its discovery, and aims to explore its mathematical expression. In Chapter Three a model of fractional difference has been defined by the author as a fractional Newton binomial with respect to the finite difference operator as parameter, therefore they obtained an alternative to fractional derivative, and further, as a by-product, they came across the so-called modified Riemann-Liouville derivative which ascribes a special role to the initial value of the considered function. Chapter Four presents some popular uses of exponential distribution in the context of ordered random variables. Chapter Five gives a comprehensive introduction to the Ricci flow on manifolds of dimension two which can be done in a reasonable fashion when the Euler characteristic is negative or zero. Chapter Six investigates some geometric properties by using the concepts of the geometric function theory and studies the convexity and star-like for the new operator.

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Book SynopsisIn the opening chapter by Victor Martinez-Lukacs, two kinds of matrices related to chemical problems are examined and an outline of their main properties about their eigenvalues is exhibited in order to demonstrate that all the ODE solutions are either stable or asymptotically stable. In chapter two by Ivan Kyrchei, the Cramer rules for the weighted Moore-Penrose solutions of left and right systems of quaternion linear equations are obtained. Next, in chapter three, Tadeusz Antczak showcases numerous sets of saddle point criteria for a new class of nonconvex non-smooth discrete minimax fractional programming problems. Marcia de F. B. Binelo, Airam T. Z. R. Sausen, Paulo S. Sausen, and Manuel O. Binelo provide a summary of electric mathematical models used for the prediction of batteries charge and discharge behaviour in chapter four. In chapter five, general methodology for the precise modelling and performance assessment of launch vehicles dedicated to microsatellites is proposed by M. Pontani, M. Palloney, and P. Teofilattoz. In chapter six, Nodari Vakhania exemplifies ties and relationships among some optimisation problems such as scheduling and transportation issues. In chapter seven, a geometry without using points in established by N. L. Bushwick, bringing the book to a close.

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Book SynopsisThis book presents and discusses new developments in the study of evolutionary processes. Topics discussed include evolution of magneto-acoustic waves in isothermal atmosphere, quantum dynamical semigroups, traveling waves in discrete models of biological population, motion of electrorheological fluids, Stacklberg control of a backward linear heat equation, Leray weak solutions of Navier-Stokes equation involving one directional derivative, and initial value boundary problem of an evolutionary p(x)-Laplacian equation.

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Book SynopsisThis book focuses on the study of several properties of Banach spaces applied to diverse problems in functional and numerical analysis. Many problems in science, engineering and other disciplines can be expressed in the form of equations, inequalities or systems of equations using mathematical modelling. In particular, a large number of these problems can be solved using these spaces. A great multitude of examples showing the theoretical application developed appears throughout the work. Researchers and practitioners will find this book very useful as a source book, utilize its methods and also use it as a classroom text for a senior undergraduate or graduate course. It is certainly an excellent must read book.Table of ContentsPrefaceRight Complex Caputo Fractional InequalitiesMixed Complex Fractional InequalitiesAdvanced Complex Fractional Ostrowski InequalitiesImproved Qualitative Analysis for Newtonlike Methods with ROrder of Convergence at Least Three in Banach SpacesDevelopments on the Convergence Region of Newtonlike Methods with Generalized Inverses in Banach SpacesModified NewtonType Compositions for Solving Equations in Banach SpacesBall Convergence for Optimal Derivative Free MethodsBall Convergence for a Derivative Free Method with MemoryWeaker Convergence Conditions of an Iterative Method for Nonlinear IllPosed EquationsBall Convergence Theorem for a Fifth Order Method in Banach SpacesExtended Convergence of KingWernerlike Methods without DerivativesOn an Eighth Order SteffensenType Solver Free of DerivativesLocal Convergence of Osadas Method for Finding Zeros with MultiplicityExpanding the Applicability of an EighthOrder Method in Banach Space under Weak ConditionsLocal Convergence for Three Step Eighth Order Method under Weak ConditionsBall Convergence for a ThreeStep One Parameter Efficient Method in Banach Space under Generalized ConditionsOn the Convergence of NewtonMoser Method from Data at One PointApproximating Inverse Operators by a FourthOrder Iterative MethodInitial Value Problems in Clifford Analysis Using Associated SpacesComputational Approach of Initial Value Problems in Clifford Analysis Using Associated SpacesAsymmetric Convexity and Smoothness: Quantitative Lyapunov Theorems, Lozanovskii Factorisation, Walsh Chaos and Convex DualityCopies of Sequence Spaces and Basic Properties of Anisotropic Function SpacesInterpolation and Bounded Extension of HӧlderLipschitz Mappings between Function, NonCommutative and Other Banach SpacesDifferential Equations with a Small Parameter in a Banach SpaceRole of HansonAntczakType V Invex Functions in Sufficient Efficiency Conditions for Semiinfinite Multiobjective Fractional ProgrammingIndex.

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Book SynopsisThe exponential growth of technology forces all disciplines to adjust accordingly, so they can meet the demands of a very dynamic world that heavily depends upon it. Therefore, mathematics cannot be an exception. In fact, mathematics should be the first to adjust and in fact it is. In this volume, which is a continuation of the previous three under the same title, we present state-of-the-art iterative methods for solving equations related to concrete problems from diverse areas such as applied mathematics, mathematical: biology, chemistry, economics, physics and also engineering to mention a few. Most of these methods are new and a few are old but still very popular. One major problem with iterative methods is that the convergence domain is small in general. We have introduced a technique that finds a smaller set than before containing the iterates leading to tighter Lipschitz functions than before. This way and under the same computational effort, we derive: weaker sufficient convergence criteria (leading to a wider choice of initial points); tighter error bounds on the distances involved (i.e., fewer iterates are needed to obtain a desired predetermined accuracy), and a more precise information on the location of the solution. These advantages are considered major achievements in computational disciplines. The volume requires knowledge of linear algebra, numerical functional analysis and familiarity with contemporary computing programing. It can be used by researchers, practitioners, senior undergraduate and graduate students as a source material or as a required textbook in the classroom.Table of ContentsPreface; Acknowledgements; A Family of Cubically Convergent Methods; Characterization of Some Newton-Like Methods; Newtons Method Defined on Not Necessarily Bounded Domains; Local Convergence of a Class of Multi-Point SuperHalley Methods; ULMs-Like Method under Weak Convergence Conditions; Newton like Method Free of Bilinear Operators; On the Local Convergence of a Secant like Method; Extending the Applicability of Newtons Method; A Derivative Free Solver in Banach Space; Convergence for Two Optimal Eighth-Order Methods; Local Convergence of an Eighth-Order Method; An Efficient Class of Fourth-Order Jarratt-Type Methods; Unified Local Convergence for a Certain Family of Methods; Ball Convergence for EI15th-Order Variants of Hansenpatricks Family; Extended Local Convergence of Newton-Type Methods; Local Analysis of an Ostrowski-Like Method; Local Convergence for Multipoint Methods; Choosing Good Starting Points for the Convergence of Newtons Method; Local Convergence of a Tri-Parametric Eighth 18DER Method; Ball Convergence for Ostrowski-Like Method with Accelerated Eighth Order Convergence; A Traub-Steffensen-Like Composition for Banach Space Valued Operators; A Novel Traub-Steffensen Three Step Iterative Method Free Of Derivatives; Extended Semilocal Convergence of the NHSS Method under Generalized Lipschitz Condition; A Novel Traub-Steffensen Three Step Iterative Method Free Of Derivatives; Extended Local Convergence of an Efficient Sixth Order Method; Traub-Steffensen-Type Solvers for Nonlinear Equations; Unified Local Convergence for Third Order Methods; Improved Error Bounds for Newton-Type Solvers-I; Improved Error Bounds for Newton-Type Solvers-II; Comparing the Extended Yamamotos Error Bounds for Newtons Solver; Extended Newtons Method for Nonsmooth Operators; Extended and Unified Convergence Theory for Iterative Processes; Comparison of Two Sixth Order Solvers Using the First Derivative; Efficient Third Convergence Order Method for Solving Nonlinear Systems; On the Local Convergence of an Efficient Third Convergence Order Method; Extended Convergence for Newton-Like Solvers; Ball Convergence of Schröder-Like Methods for Multiple Roots; Ball Convergence of Eight Order Methods for Multiple Roots; Fourth Order Newton-Type Methods for Roots of Multiplicity; Gauss-Newton Solvers with Projections for Solving Least Squares Problems; Extended Ball Convergence Results for Newtons Solver under Hölder-Like Conditions; Ball Convergence for Traub-Steffensen-Chebyshev Solver; Extended Ball Convergence of the Gauss-Newton Solver for Injective-Overdetermined Systems of Equations; Extended Ball Convergence for Newton Conditional Gradient Solver; Extended Ball Convergence of the Gauss- Newton-Like Solver for Injective-Verdetermined Systems of Equations; Extended Ball Convergence for Inexact Newton-Like Conditional Gradient Solver; Extended Ball Convergence of the Gauss-Newton Solver; Extended Semi-Local Convergence of the Gauss-Newton Solver for Convex Composite Optimization; Extended Local Convergence Analysis of a Proximal Gauss-Newton Procedure; Extended Local Convergence of the Gauss-Newton Method; Solvers for Problems with Small Divisors; A Two Step Iterative Scheme with a Free Parameter; A Family of Unified High Convergence Order Methods; Three Step Seventh Order Method for Solving Equations; A Unified Family of Jarratt-Like Iterative Methods in Banach Space; Extended Local Convergence for Newton Simpsons 3/8th Solver; On the Harmonic Mean and Midpoint Newtons Solver; Comparing the Local Convergence of Three Newtonmean-Type Solvers; Comparing Two High Convergent Order Methods; Generalized Solvers for Equations; On the Harmonic Mean and Midpoint Newtons Solver-II; Extended Jarratt-Type Solver; Extended Chebyshev-Type Solver without Second Derivatives; Newton-Type Solvers Using Fifth Order Quadrature Formulas; Extending the Local Convergence of an Efficient Sixth Order Method; Increased and Extended Local Convergence for Some Iterative Methods; Extended Newton-Traub-Type Methods; Extended Newton-Traub Methods; Solvers of Convergence Three and Four with a Free Parameter; Extended Fourth Order Weighted Newton Solver; Extended Sixth Order Schemes with Parameters; Extended Newton-Jarratt Scheme; Chebyshev-Halley-Type Methods with Parameters; Ostrowski-Chun Like Schemes with Parametrs; Extended Seventh Order Method with Divided Differences; Derivative-Free Methods 1: Order Six; Derivative-Free Methods II: Order Seven; High-Order and Efficient Solvers in Banach Spaces; Derivative Free Method III: Order Seven; Derivative Free Methods IV: Order Six; Extended Semilocal Convergence of a Sixth Order Jarratt-Type Method in Banach Space; Extended Inexact Gauss-Newton-Like Schemes for Injective Overdetermined Equations; Index.

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Book SynopsisADVANCED ENGINEERING MATHEMATICS AND ANALYSIS: VOLUME 1 offers a straightforward approach to understanding the theory of several engineering tools that are used to compute, evaluate, and analyse practical problems. It is a mathematics textbook that can be used by students, instructors, and technical carriers. Throughout the five chapters of the book, besides the pure mathematical examples, several practical issues from different fields are modelled and solved to illustrate the relation between the theory and its applications. The book elucidates the subjects in a self-contained style. This volume contains the basics and advanced topics of linear algebra and matrix theory, two-chapter ordinary differential equations to elaborate many classes, Laplace transforms with fundamental applications, and a complete engineering course of numerical methods. Each chapter ends with exercises that are arranged according to the chapter sections. The readers will find the answers at the end of the book.Table of ContentsPreface; Acknowledgements; Linear Algebra and Matrices; Differential Equations: Part I; Differential Equations: Part II; Laplace Transforms; Numerical Methods; Answers to Selected Exercises; References; Index.

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Book SynopsisVolume 2 offers a straightforward approach to understanding the theory of several engineering tools used to compute, evaluate, and analyse practical problems. It is a mathematic textbook that can be used by students, instructors, and technical carriers; partially, the book also covers signal processing in the related course syllabus. Throughout the four chapters of the book, besides the pure mathematical examples, several practical issues from different fields are modelled and solved to illustrate the relation between the theory and its applications. The book elucidates the subjects in a self-contained style. The reader can select what he wants to read without following a particular sequence of reading. Volume 2 contains four chapters that consist of two units. The first two chapters deal with the continuous and discrete function (signal) analysis that is based on Fourier''s series and transforms, and on the z-transform for the discrete functions. The considered functions are periodic as well as aperiodic. The second unit consists of special multivariable functions, specifically, the space vector and the complex functions. Each chapter is ended with exercises that are arranged according to the chapter sections. The readers will find the answers at the end of the book.

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Book SynopsisThis book provides different avenues to study algorithms. It also brings new techniques and methodologies to problem solving in computational sciences, engineering, scientific computing and medicine (imaging, radiation therapy) to mention a few. A plethora of algorithms which are universally applicable are presented in a sound, analytical way. The chapters are written independently of each other, so they can be understood without reading earlier chapters. But some knowledge of analysis, linear algebra, and some computing experience is required. The organization and content of this book cater to senior undergraduate, graduate students, researchers, practitioners, professionals, and academicians in the aforementioned disciplines. It can also be used as a reference book and includes numerous references and open problems.

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Book SynopsisThe essential, intermediate and advanced topics of Simulink are covered in the book. The concept of multi-domain physical modeling concept and tools in Simulink are illustrated with examples for engineering systems and multimedia information. The combination of Simulink and numerical optimization methods provides new approaches for solving problems, where solutions are not known otherwise.

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Book SynopsisThis text provides an introduction to the methods of parallel optimization by introducing parallel computing ideas and techniques into both optimization theory and numerical algorithms for large-scale optimization problems.Trade Review"This book presents a domain that arises where two different branches of science, namely parallel computations and the theory of constrained optimization, intersect with real life problems. This domain, called parallel optimization, has been developing rapidly under the stimulus of progress in computer technology. The book focuses on parallel optimization methods for large-scale constrained optimization problems and structured linear problems. . . . [It] covers a vast portion of parallel optimization, though full coverage of this domain, as the authors admit, goes far beyond the capacity of a single monograph. This book, however, in over 500 pages brings an excellent and in-depth presentation of all the major aspects of a process which matches theory and methods of optimization with modern computers. The volume can be recommended for graduate students, faculty, and researchers in any of those fields."--Mathematical Reviews "This book presents a domain that arises where two different branches of science, namely parallel computations and the theory of constrained optimization, intersect with real life problems. This domain, called parallel optimization, has been developing rapidly under the stimulus of progress in computer technology. The book focuses on parallel optimization methods for large-scale constrained optimization problems and structured linear problems. . . . [It] covers a vast portion of parallel optimization, though full coverage of this domain, as the authors admit, goes far beyond the capacity of a single monograph. This book, however, in over 500 pages brings an excellent and in-depth presentation of all the major aspects of a process which matches theory and methods of optimization with modern computers. The volume can be recommended for graduate students, faculty, and researchers in any of those fields."--Mathematical ReviewsTable of ContentsForeword ; Preface ; Glossary of Symbols ; 1. Introduction ; Part I Theory ; 2. Generalized Distances and Generalized Projections ; 3. Proximal Minimization with D-Functions ; Part II Algorithms ; 4. Penalty Methods, Barrier Methods and Augmented Lagrangians ; 5. Iterative Methods for Convex Feasibility Problems ; 6. Iterative Algorithms for Linearly Constrained Optimization Problems ; 7. Model Decomposition Algorithms ; 8. Decompositions in Interior Point Algorithms ; Part III Applications ; 9. Matrix Estimation Problems ; 10. Image Reconsturction from Projections ; 11. The Inverse Problem in Radiation Therapy Treatment Planning ; 12. Multicommodity Network Flow Problems ; 13. Planning Under Uncertainty ; 14. Decompositions for Parallel Computing ; 15. Numerical Investigations

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Book SynopsisProviding an overview of computational mathematics and a series of key economics problems using "higher mathematics", this book presents a mix of classical and contemporary economic theory. It also covers the problems of uncertainty, continuous-time dynamics, comparative statistics, and the applications of optimization methods to economics.Table of Contents0. Review of Mathematics ; 1. Economic Applications of One-Variable Calculus ; 2. Economic Applications of Multivariate Calculus ; COMPARATIVE STATICS 1: ONE AND TWO VARIABLES WITH AND WITHOUT OPTIMIZATION ; 4. Integration, Time and Uncertainty in Economics ; 5. Introduction to Continuous-Time Dynamics in One and Two Dimensions ; 6. Matrices and Economic Theory ; 7. Comparative Statics 2: n Variables with and without Optimization ; 8. Comparative Statics 3: Optimization under Constraint ; 9. Inequality Constraints in Optimization Theory

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Book SynopsisThis book brings together an impressive group of leading scholars in the sciences of complexity, and a few workers on the interface of science and religion, to explore the wider implications of complexity studies. It includes an introduction to complexity studies and explores the concept of information in physics and biology and various philosophical and religious perspectives. Chapter authors include Paul Davies, Greg Chaitin, Charles Bennett, Werner Loewenstein, Paul Dembski, Ian Stewart, Stuart Kauffman, Harold Morowitz, Arthur Peacocke, and Niels H. Gregersen.Trade ReviewMelanie Mitchell's book is most enjoyable, truly inspiring, skillfully written, and, above all, beautifully clear. The author's enthusiasm and passion for the field make the book fascinating to read. Her rigor, clarity, and healthy skepticism make the book sound and the field scientifically stronger. It is an excellent and rigorous account of the scientific field of complexity. She proves by example that it is possible to explain complex systems science with rigor, breadth, depth, and - above all - exquisite clarity * Artificial Life *Table of ContentsPart 1: Introduction ; 1. Towards an Emergentist Worldview ; Part 2: Defining Complexity ; 2. Randomness and Mathematical Proof ; 3. "How to define Complexity in Physics, and Why?" ; Part 3: The Concept of Information in Physics and Biology ; 4. The Emergence of Autonomous Agents ; 5. Complexity and The Arrow of Time ; 6. Can Evolutionary Algorithms Generate Specified Complexity? ; 7. The Second Law of Thermodynamics and the Fourth Law of Thermodynamics ; 8. Two Arrows from a Mighty Bow ; Part 4: Philosophical and Religious Perspectives ; 9. Emergence of Transcendence ; 10. Complexity, Emergence and Divine Creativity ; 11. From Anthropic Design to Self-Organized Complexity

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Book SynopsisSpin glasses are magnetic materials. Statistical mechanics, a subfield of physics, has been a powerful tool to theoretically analyse various unique properties of spin glasses. A number of new analytical techniques have been developed to establish a theory of spin glasses. Surprisingly, these techniques have turned out to offer new tools and viewpoints for the understanding of information processing problems, including neural networks, error-correcting codes, image restoration, and optimization problems. This book is one of the first publications of the past ten years that provide a broad overview of this interdisciplinary field. Most of the book is written in a self-contained manner, assuming only a general knowledge of statistical mechanics and basic probability theory. It provides the reader with a sound introduction to the field and to the analytical techniques necessary to follow its most recent developments.Trade Review... very enjoyable to read and often opening the reader's eye to new possibilities. This is a perfect introduction to the field for students and researchers who want to study problems in information science, including the use of physics in information processing * Butsuri *Table of Contents1. Mean-field theory of phase transitions ; 2. Mean-field theory of spin glasses ; 3. Replica symmetry breaking ; 4. Gauge theory of spin glasses ; 5. Error-correcting codes ; 6. Image restoration ; 7. Associative memory ; 8. Learning in perceptron ; 9. Optimization problems ; A. Eigenvalues of the Hessian ; B. Parisi equation ; C. Channel coding theorem ; D. Distribution and free energy of K-Sat ; References ; Index

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Book Synopsis''Phylogenetics'' is the reconstruction and analysis of phylogenetic (evolutionary) trees and networks based on inherited characteristics. It is a flourishing area of intereaction between mathematics, statistics, computer science and biology.The main role of phylogenetic techniques lies in evolutionary biology, where it is used to infer historical relationships between species. However, the methods are also relevant to a diverse range of fields including epidemiology, ecology, medicine, as well as linguistics and cognitive psychologyThis graduate-level book, based on the authors lectures at The University of Canterbury, New Zealand, focuses on the mathematical aspects of phylogenetics. It brings together the central results of the field (providing proofs of the main theorem), outlines their biological significance,and indicates how algorithms may be derived. The presentation is self-contained and relies on discrete mathematics with some probability theory. A set of exercises and at least one specialist topic ends each chapter.This book is intended for biologists interested in the mathematical theory behind phylogenetic methods, and for mathematicians, statisticians, and computer scientists eager to learn about this emerging area of discrete mathematics.''Phylogenetics'' in the 24th volume in the Oxford Lecture Series in Mathematics and its Applications. This series contains short books suitable for graduate students and researchers who want a well-written account of mathematics that is fundamental to current to research. The series emphasises future directions of research and focuses on genuine applications of mathematics to finance, engineering and the physical and biological sciences.Trade ReviewThe authors' versatility in words, as well as in mathematics, makes reading this book altogether an enjoyable experience for the mathematically-inclined. * Systematic Biology *The authors state in the preface that their intention is to provide "a reasonably self-contained overview of an expanding field". In our opinion, they certainly succeed in meeting that goal. * Systematic Biology *All in all, this book should serve as an excellent mathematical introduction to phylogenetics for beginners and as a good reference for experts in the field. * Systematic Biology *Concisely and clearly written, Phylogenetics is a must-read for mathematicians or computer scientists who wish to do research in molecular phylogenetics, computational biology and bioinformatics. I hope the book will attract powerful mathematicians into this exciting area of research. * TRENDS in Ecology and Evolution *... this book provides a concise and lucid summary of the mathematics literature related to phylogenetics. * TRENDS in Ecology and Evolution *Table of ContentsPreliminaries ; 1. Graphs and their role in biology ; 2. X-trees and phylogenetic trees ; 3. Trees and splits ; 4. Compatibility of characters ; 5. Maximum Parsimony ; 6. Subtrees and supertrees ; 7. Tree-based metrics ; 8. Markov models on trees ; References ; Commonly-used symbols ; Index

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Book SynopsisThe book, which has grown out of a course given over the past ten years, provides an introduction to group theory and its application in subnuclear physics, particularly in multi-quark systems and hadron spectroscopy. A number of exercises, with solutions, are included.Trade ReviewThe book may be treated as a modern "practical introduction to concepts of group theory and some of their applications, especially in subnuclear physics"......In the text, the general statements and investigations are illustrated by many concrete examples given, as a rule, in explicit expanded mathematical form. A large number of tables (about 50) most of which are original forms an essential part of the book. * Zeitschrift fur Mathematik *Table of Contents1. Symmetries in quantum mechanics ; 2. Elements of group theory ; 3. Linear representations of a group ; 4. Permutation group Sn ; 5. Lie groups ; 6. The orthogonal group ; 7. The Poincare group and the Lorenz group ; 8. Unitary groups ; 9. Gauge groups ; 10. Multiquark systems ; Appendix A: Conservation Laws ; Appendix B: The rearrangement theorem, Schur's lemmas and the orthogonality theorem ; Appendix C: Invariant Integration ; Appendix D: Dimension of an SU(n) irrep

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Book SynopsisThis book treats the central physical concepts and mathematical techniques used to investigate the dynamics of open quantum systems. To provide a self-contained presentation the text begins with a survey of classical probability theory and with an introduction into the foundations of quantum mechanics with particular emphasis on its statistical interpretation. The fundamentals of density matrix theory, quantum Markov processes and dynamical semigroups are developed. The most important master equations used in quantum optics and in the theory of quantum Brownian motion are applied to the study of many examples. Special attention is paid to the theory of environment induced decoherence, its role in the dynamical description of the measurement process and to the experimental observation of decohering Schrodinger cat states.The book includes the modern formulation of open quantum systems in terms of stochastic processes in Hilbert space. Stochastic wave function methods and Monte Carlo algTrade ReviewThis book covers a large set of topics, normally not covered in standard physics curricula ... I recommend this book to physicists interested in widening their horizons in the directions covered by the book ... I do not know of any other source providing such a systematic and well written introduction into this area of research. * Mathematical Reviews *Table of ContentsPREFACE ; ACKNOWLEDGEMENTS ; PART 1: PROBABILITY IN CLASSICAL AND QUANTUM MECHANICS ; 1. Classical probability theory and stochastic processes ; 2. Quantum Probability ; PART 2: DENSITY MATRIX THEORY ; 3. Quantum Master Equations ; 4. Decoherence ; PART 3: STOCHASTIC PROCESSES IN HILBERT SPACE ; 5. Probability distributions on Hilbert space ; 6. Stochastic dynamics in Hilbert space ; 7. The stochastic simulation method ; 8. Applications to quantum optical systems ; PART 4: NON-MARKOVIAN QUANTUM PROCESSES ; 9. Projection operator techniques ; 10. Non-Markovian dynamics in physical systems ; PART 5: RELATIVISTIC QUANTUM PROCESSES ; 11. Measurements in relativistic quantum mechanics ; 12. Open quantum electrodynamics

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Book SynopsisSpectral methods have long been popular in direct and large eddy simulation of turbulent flows, but their use in areas with complex-geometry computational domains has historically been much more limited. More recently the need to find accurate solutions to the viscous flow equations around complex configurations has led to the development of high-order discretisation procedures on unstructured meshes, which are also recognised as more efficient for solution of time-dependent oscillatory solutions over long time periods. Here Karniadakis and Sherwin present a much-updated and expanded version of their successful first edition covering the recent and significant progress in multi-domain spectral methods at both the fundamental and application level. Containing over 50% new material, including discontinuous Galerkin methods, non-tensorial nodal spectral element methods in simplex domains, and stabilisation and filtering techniques, this text aims to introduce a wider audience to the use oTrade ReviewThe book contains a large amount of material, including a number of exercises, examples and figures. The book will be helpful to specialists coming into contact with CFD, applied and numerical mathematicians, engineers, physicists and specialists in climate and ocean modeling. It can also be recommended for advanced students of these disciplines. * EMS Newsletter *This book will probably help popularize the spectral/hp element method. Not only should it be recommended to researchers working on spectral/hp methods but it should also be on the wish list of all those who are interested in computational fluid dynamics. * Jean-Luc Guermond, Mathematical Reviews *Table of ContentsIntroduction ; Fundamental concepts in one dimension ; Multi-dimensional expansion bases ; Multi-dimensional formulations ; Diffusion equation ; Advection and advection-diffusion ; Non-conforming elements ; Algorithms for incompressible flows ; Incompressible flow simulations:verification and validation ; Hyperbolic conservation laws ; Appendices ; Jacobi polynomials ; Gauss-Type integration ; Collocation differentiation ; Co discontinuous expansion bases ; Characteristic flux decomposition ; References ; Index

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Book SynopsisAlgebraic coding theory is a new and rapidly developing subject, motivated by immediate practical applications, but also rich in mathematical structure. This book provides an elementary yet rigorous introduction to the theory of error-correcting codes.

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Book SynopsisBL First book to apply type theory to natural language Per Martin Lof first presented constructive type theory in 1970 and it has become intrinsic to the foundations of mathematics and computer science. This book is the first to take an in-depth look at the theory from the point of view of linguistics and the philosophy of language.Trade Review'The formalism introduced by the author allows better understanding of the role of semantics in grammars of natural languages and supplies mechnisms for various levels of linguistic description.' T.Balanescu, Zenrrallblatt fur Mathematik und ihre Grenzgebiete No. 855, 1997Table of Contents1. Preliminary remarks ; 2. Gradual introduction to type theory ; 3. Logical operators in English ; 4. Anaphoric expressions ; 5. Temporal reference ; 6. Text and discourse ; 7. Context and possible worlds ; 8. Higher-level type theory ; 9. Sugaring and parsing ; Appendix ; Sugaring in ALF ; Bibliography ; Index

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Book SynopsisGives a physical treatment of the kinetic theory of gases and magnetoplasmas, using mean-free-path arguments when possible and identifying problem areas where received theory has either failed or fallen short of expectations. L.C. Woods has also written "The Thermodynamics of Fluid Systems".Trade Reviewthe book presents a treatment of the kinetic theory of gases and magnetoplasmas in such a way that it covers the standard material in a way as simple as possible .,.. The book seems to radiate a deep conviction - which is appreciated by the reviewer - that the development of the kinetic theory needs not only calculational skills and computational magic in evaluating the content of the theory in model arrangements, but equally, if not in excess, deep insight into the physical processes. * I. Abonyi, Besprechungsbelege, February 1994 *Table of Contents1. Basic concepts ; 2. The Maxwellian velocity distribution ; 3. Elementary kinetic theory ; 4. Particle diffusion ; 5. Intermediate kinetic theory ; 6. Advanced kinetic theory ; 7. Boltzmann's kinetic equation ; 8. Second-order kinetic theory ; 9. Dynamics of charged particles ; 10. Kinetic theory for magnetoplasmas ; 11. Transport across strong magnetic fields ; Appendix ; References ; Index

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Book SynopsisThis concise, accessible text provides a thorough introduction to quantum computing - an exciting emergent field at the interface of the computer, engineering, mathematical and physical sciences. Aimed at advanced undergraduate and beginning graduate students in these disciplines, the text is technically detailed and is clearly illustrated throughout with diagrams and exercises. Some prior knowledge of linear algebra is assumed, including vector spaces and inner products. However, prior familiarity with topics such as quantum mechanics and computational complexity is not required.Trade ReviewThe book is spiced with Try Its, brief exercises that engage the readers in problem solving (both with and without mathematics) and help them digest the many counter-intuitive quantum information science and quantum computing concepts. * MathSciNet *Table of ContentsPreface ; 1. Introduction and background ; 2. Linear algebra and the Dirac notation ; 3. Qubits and the framework of quantum mechanics ; 4. A quantum model of computation ; 5. Superdense coding and quantum teleportation ; 6. Introductory quantum algorithms ; 7. Algorithms with super-polynomial speed-up ; 8. Algorithms based on amplitude amplification ; 9. Quantum computational complexity theory and lower bounds ; 10. Quantum error correction ; Appendices ; Bibliography ; Index

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Book SynopsisThis text is concerned with the quantitative aspects of the theory of nonlinear diffusion equations; equations which can be seen as nonlinear variations of the classical heat equation. They appear as mathematical models in different branches of Physics, Chemistry, Biology, and Engineering, and are also relevant in differential geometry and relativistic physics. Much of the modern theory of such equations is based on estimates and functional analysis.Concentrating on a class of equations with nonlinearities of power type that lead to degenerate or singular parabolicity (equations of porous medium type), the aim of this text is to obtain sharp a priori estimates and decay rates for general classes of solutions in terms of estimates of particular problems. These estimates are the building blocks in understanding the qualitative theory, and the decay rates pave the way to the fine study of asymptotics. Many technically relevant questions are presented and analyzed in detail. A systematic pTrade ReviewThis book is intended to introduce graduate students to the methods and results of nonlinear diffusion equations of porous medium type, as practised today. The present text, remarkable for generality and depth, is also notable for its author's concern, throughout, to keep the important issues about varieties clearly in the foreground ... [the book] succeeds admirably, in the reviewer's opinion, in introducing its difficult subject at a level appropriate for preparing future workers in the field. * Vicentiu Radulescu, Mathematical Reviews Issue 2007k *Table of ContentsPART I; PART II; PART III

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Book SynopsisModels for Dynamic Macroeconomics provides the advanced student with key methodological tools for the dynamic analysis of a core selection of macroeconomic phenomena, including consumption and investment choices, employment and unemployment outcomes, and economic growth. The technical treatment of these tools will enable the student to handle current journal literature, while not assuming any particular familiarity with advanced analytical tools or mathematical notions. As these tools are introduced, they are related to particular applications to illustrate their use. Each chapter includes exercises which propose extensions to the model discussed in the text as well as end of chapter review exercises designed to consolidate learning. All exercise solutions are provided at the end of the book and further reading is discussed at the end of each chapter.By bridging the gap between undergraduate economics and modern microfounded macroeconomic research, this book will be of interest to gradTrade Review'This excellent book, written by two leaders of their field, provides a rigorous introduction to modern dynamic macroeconomics. It provides the modern perspective on consumption, investment and labor markets before putting it all together in models of general equilibrium as well as models of coordination failures. The book provides a much needed stepping stone so that students can cross the gap between undergraduate textbooks and the modern literature. I recommend it highly for serious advanced undergraduate courses, as a basic text for graduate courses, and as a reference text.' * Harald Uhlig, Humboldt-Universität zu Berlin *Table of ContentsPreface ; 1. Dynamic Consumption Theory ; 1.1 Permanent Income and Optimal Consumption ; 1.2 Empirical Issues ; 1.3 The Role of Precautionary Saving ; 1.4 Consumption and Financial Returns ; Appendix A1: Dynamic Programming ; Review Exercises ; Further Reading ; References ; 2. Dynamic Models of Investment ; 2.1 Convex Adjustment Costs ; 2.2 Continuous-Time Optimization ; 2.3 Steady-State and Adjustment Paths ; 2.4 The Value of Capital and Future Cash Flows ; 2.5 Average Value Capital ; 2.6 A Dynamic IS-LM Model ; 2.7 Linear Adjustment Costs ; 2.8 Irreversible Investment Under Certainty ; Appendix A2: Hamiltonian Optimization Methods ; Review Exercises ; Further Readings ; References ; 3. Adjustment Costs in the Labor Market ; 3.1 Hiring and Firing Costs ; 3.2 The Dynamics of Employment ; 3.3 Average Long-Run Effects ; 3.4 Adjustment Costs and Labor Allocation ; Appendix A3: (Two-State) Markov Processes ; Review Exercises ; Further Reading ; References ; 4. Growth in Dynamic General Equilibrium ; 4.1 Production, Savings, and Growth ; 4.2 Dynamic Optimization ; 4.3 Decentralized Production and Investment Decisions ; 4.4 Measurement of "Progress": the Solow Residual ; 4.5 Endogenous Growth and Market Imperfections ; Review Exercises ; Further Exercises ; References ; 5. Coordination and Externalities in Macroeconomics ; 5.1 Trading Externalities and Multiple Equilibria ; 5.2 A Search Model of Money ; 5.3 Search Externalities in the Labor Market ; 5.4 Dynamics ; 5.5 Externalities and Efficiency ; Review Exercises ; Further Reading ; References ; Answers to Exercises

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Book SynopsisProviding a practical introduction to state space methods as applied to unobserved components time series models, also known as structural time series models, this book introduces time series analysis using state space methodology to readers who are neither familiar with time series analysis, nor with state space methods. The only background required in order to understand the material presented in the book is a basic knowledge of classical linear regression models, of which a brief review is provided to refresh the reader''s knowledge. Also, a few sections assume familiarity with matrix algebra, however, these sections may be skipped without losing the flow of the exposition. The book offers a step by step approach to the analysis of the salient features in time series such as the trend, seasonal, and irregular components. Practical problems such as forecasting and missing values are treated in some detail. This useful book will appeal to practitioners and researchers who use time serTrade Reviewa fascinating read...excellent * CFA Society of the UK *I really recommend this book. It is a very good read and it is very reasonably priced. * Paul Eilers, The Newsletter of the Dutch Classification Society *Table of Contents1. Introduction ; 2. The Local Level Model ; 3. The Local Linear Trend Model ; 4. The Local Level Model with Seasonal ; 5. The Local Level Model with Explanatory Variable ; 6. The Local Level Model with Intervention Variable ; 7. The UK Seat Belt and Inflation Models ; 8. General Treatment of Univariate State Space Models ; 9. Multivariate Time Series Analysis ; 10. State Space and Box-Jenkins Methods for Time Series Analysis ; 11. State Space Modelling in Practice ; 12. Conclusions ; Appendix A UK Drivers KSI and Petrol Price ; Appendix B Road Traffic Fatalities in Norway and Finland ; Appendix C UK Front and Rear Seat Passengers KSI ; Appendix D UK Price Changes

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Book SynopsisQuantum mechanics - central not only to physics, but also to chemistry, materials science, and other fields - is notoriously abstract and difficult. Essential Quantum Mechanics is a uniquely concise and explanatory book that fills the gap between introductory and advanced courses, between popularizations and technical treatises.By focusing on the fundamental structure, concepts, and methods of quantum mechanics, this introductory yet sophisticated work emphasizes both physical and mathematical understanding. A modern perspective is adopted throughout - the goal, in part, being to gain entry into the world of ''real'' quantum mechanics, as used by practicing scientists.With over 60 original problems, Essential Quantum Mechanics is suitable as either a text or a reference. It will be invaluable to physics students as well as chemists, electrical engineers, philosophers, and others whose work is impacted by quantum mechanics, or who simply wish to better understand this fascinating subjecTrade ReviewVery well written, clear and to the point, and just at the right level to fill the regrettable gap between the maths-free popular books on quantum mechanics and the full courses in most textbooks. * Jeremy Butterfield, University of Cambridge *This book should be useful for undergraduate and graduate students in quantum mechanics, mathematics, materials science and Chemistry. * CERN Courier, June 2008. *If you teach quantum mechanics, you should read this book. If you are studying quantum mechanics, you should read this book. If you are vaguely interested in quantum mechanics, you should read this book. Everyone should read this book. Why? Because in this book you will find the fundamentals and the structure of quantum mechanics explained directly and clearly, with you in mind, without the naive tone of those common popularizations centered on the weirdness of the quantum [...] I wish I had had this little book (200 pages!) when I started studying quantum mechanics. [...] I find this book suitable as an uncluttered textbook for an Introduction to quantum mechanics undergraduate course in physics and engineering. * David J. Santos, Mathematical Reviews *Table of Contents1. Introduction: Three Worlds ; 2. The Quantum Postulates ; 3. What is a Quantum State? ; 4. The Structure of Quantum States ; 5. Operators ; 6. Matrix Mechanics ; 7. Commutators and Uncertainty Relations ; 8. Angular Momentum ; 9. The Time-independent Schrodinger Equation ; 10. Why is the State Complex? ; 11. Time Evolution ; 12. Wavefunctions ; Appendices

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Book SynopsisThe pendulum: a case study in physics is a unique book in several ways. Firstly, it is a comprehensive quantitative study of one physical system, the pendulum, from the viewpoint of elementary and more advanced classical physics, modern chaotic dynamics, and quantum mechanics. In addition, coupled pendulums and pendulum analogs of superconducting devices are also discussed. Secondly, this book treats the physics of the pendulum within a historical and cultural context, showing, for example, that the pendulum has been intimately connected with studies of the earth''s density, the earth''s motion, and timekeeping. While primarily a physics book, the work provides significant added interest through the use of relevant cultural and historical vignettes. This approach offers an alternative to the usual modern physics courses. The text is amply illustrated and augmented by exercises at the end of each chapter.Trade ReviewIn this well-illustrated treatment of the study of pendulum, Baker (Bryn Athyn College of the New Church) and Blackburn (Wilfrid Laurier U.) provide fascinating information about the history of the pendulum and what scientists thought it did, the revolution wrought by Foucault, the special cases of the torsion pendulum, the chaotic pendulum, the quantum pendulum, and coupled pendulums, the effects of superconductivity, and the most familiar to most of us, the pendulum clock. They include information on special interests in the appendices, such as the inverted pendulum and the longnow clock. * SciTech Book News *One of the delightful aspects of this book is its attention to historical detail. Not only does this add greatly to the enjoyment of reading it, it also gives a vivid impression of progress in our knowledge of the physical world, all too often absent in more focused and specialized works. * Contemporary Physics *The Pendulum presents insights and unusual approaches that will broaden the experience of undergraduate physics students. * Kenneth S. Krane, Physics Today *Table of Contents1. Introduction ; 2. Pendulums somewhat simple ; 3. Pendulums less simple ; 4. The Foucault pendulum ; 5. The torsion pendulum ; 6. The chaotic pendulum ; 7. Coupled pendulums ; 8. The quantum pendulum ; 9. Superconductivity and the pendulum ; 10. The pendulum clock ; A. Pendulum Q ; B. The inverted pendulum ; C. The double pendulum ; D. The cradle pendulum ; E. The long now clock ; F. The Blackburn pendulum

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