Maths for engineers Books
Cambridge University Press A Students Guide to Fourier Transforms With Applications in Physics and Engineering Students Guides
Book SynopsisFourier transform theory is of central importance in a vast range of applications in physical science, engineering and applied mathematics. Providing a concise introduction to the theory and practice of Fourier transforms, this book is invaluable to students of physics, electrical and electronic engineering, and computer science. After a brief description of the basic ideas and theorems, the power of the technique is illustrated through applications in optics, spectroscopy, electronics and telecommunications. The rarely discussed but important field of multi-dimensional Fourier theory is covered, including a description of Computer Axial Tomography (CAT scanning). The book concludes by discussing digital methods, with particular attention to the Fast Fourier Transform and its implementation. This new edition has been revised to include new and interesting material, such as convolution with a sinusoid, coherence, the Michelson stellar interferometer and the van CittertâZernike theorem, Trade ReviewFrom previous editions: 'It is the wide range of topics that makes this book so appealing … I highly recommend this book for the advanced student … Even the expert who wants a deeper appreciation of the Fourier transform will find the book useful.' Computers in Physics'… this is an excellent book to initiate students who possess a reasonable mathematical background to the use of Fourier transforms …' Microscopy and AnalysisTable of Contents1. Physics and Fourier transforms; 2. Useful properties and theorems; 3. Applications 1: Fraunhofer diffraction; 4. Applications 2: signal analysis and communication theory; 5. Applications 3: spectroscopy and spectral line shapes; 6. Two-dimensional Fourier transforms; 7. Multi-dimensional Fourier transforms; 8. The formal complex Fourier transform; 9. Discrete and digital Fourier transforms; 10. Appendix; 11. Bibliography; 12. Index.
£25.99
Cambridge University Press Exercises in Workshop Mathematics for Young
Book SynopsisOriginally published in 1954, the purpose of this book was to provide a set of practical exercises for young engineers wishing to apply mathematical principles to problems confronting them in the workshop. The text was designed primarily for use in the Technical Secondary School, the County College, and the Works Training School. It will be of value to anyone with an interest in the development of engineering and educational practice.Table of ContentsPreface; Foreword; 1. Locomotives: lengths and weights; 2. Fractions: addition and subtraction; 3. Fractions: multiplication and division; 4. Fractions: miscellaneous problems; 5. Decimals: addition and subtraction; 6. Decimals: multiplication and division; 7. Decimals: conversion to engineering fraction; 8. Spacing of rivets and holes; 9. Algebra: generalized addition; 10. Algebra: generalized subtraction; 11. Algebra: generalized multiplication; 12. Algebra: generalized division; 13. Algebra: symbols, addition; 14. Algebra: symbols, subtraction; 15. Algebra: symbols, multiplication; 16. Algebra: polynomials and problems; 17. Algebra: symbols, division; 18. Algebra: simple equations; 19. Algebra: equations, fraction; 20. Algebra: equations, fractions brackets; 21. Algebra: harder equations; 22. Algebra: simple literal equations; 23. Algebra: problems on equations; 24. Algebra: substitution (positive numbers); 25. Algebra: substitution (negative numbers); 26. Formula manipulation and substitution; 27. Harder formula manipulation; 28. Square root: arithmetical; 29. Square root and squares from tables; 30. The theorem of Pythagoras: simple problems; 31. The theorem of Pythagoras: practical applications; 32. Logarithms: characteristics, use of tables; 33. Logarithms: multiplication and division (numbers greater than 1); 34. Logarithms: manipulation of negative characteristics; 35. Logarithms: multiplication and division (numbers less than 1); 36. Logarithms: powers and roots; 37. Logarithms: miscellaneous problems; 38. Proportion: speed, time and revolutions; 39. Mensuration: rectangle and square; 40. Mensuration: area of sections, weights per foot run; 41. Mensuration: rectangular solid; 42. Mensuration: triangle and triangular prism; 43. Mensuration: trapezium; 44. Mensuration: circle and annulus; 45. Mensuration: heating surface of tubes, volume and weight of bars and tubes; 46. Mensuration: capacity and rate of flow of water in pipes; 47. Mensuration: miscellaneous problems; 48. Mensuration: cone, frustum, sphere; 49. Mensuration: arcs, sectors, segments; 50. Trigonometry: sine, cosine and tangent; 51. Trigonometry: use of tables; 52. Trigonometry: simple problems; 53. Trigonometry: workshop problems; 54. Trigonometry: miscellaneous problems; Answers; Index.
£35.14
Cambridge University Press The Design of Experiments Statistical Principles For Practical Applications
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£85.49
Cambridge University Press Mathematical Methods in Electrical Engineering
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£109.25
Cambridge University Press Differential Forms and Connections
Book SynopsisThis 1994 book introduces the tools of modern differential geometry, exterior calculus, manifolds, vector bundles and connections, to advanced undergraduate and beginning graduate students in mathematics, physics and engineering. There are nearly 200 exercises, making the book ideal for both classroom use and self-study.Trade Review"...Darling's exegesis is clear and easy to understand, and his frequent use of examples is beneficial to the reader. There are many exercises that serve to reinforce the concepts." D.P. Turner, Choice"...easy on the eyes; some nice exercises..." American Mathematical Monthly"The exposition is clear and, in the American textbook style, has many exercises, both theoretical and computational. In summary, this text provides a worthwhile elementary introduction to anyone who wants to understand the basic mathematical ingredients of Differential Geometry and its interactions with Physics." F.E. Burstall, Contemporary Physics"...a good introduction to differential geometry and its applications to physics by using the calculus of differential forms...Nearly 200 exercises and many examples will help the reader's understanding...this book can be recommended as a good textbook for advanced undergraduate and beginning graduate students in mathematics, physics, and engineering." Akira Asada, Mathematical ReviewsTable of ContentsPreface; 1. Exterior algebra; 2. Exterior calculus on Euclidean space; 3. Submanifolds of Euclidean spaces; 4. Surface theory using moving frames; 5. Differential manifolds; 6. Vector bundles; 7. Frame fields, forms and metrics; 8. Integration on oriented manifolds; 9. Connections on vector bundles; 10. Applications to gauge field theory; Bibliography; Index.
£42.74
Cambridge University Press Quality and Reliability in Engineering
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£71.24
Cambridge University Press Elements of the Theory of Structures
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£112.22
Cambridge University Press Mathematical Analysis in Engineering
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£66.49
Cambridge University Press Statistical Distributions in Engineering
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£147.25
Cambridge University Press Statistical Distributions in Engineering
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£52.24
Cambridge University Press A Guide to FirstPassage Processes
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£105.45
Cambridge University Press Statistical Thermodynamics and Microscale Thermophysics
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£63.64
Cambridge University Press Fundamentals of Engineering Numerical Analysis
Book SynopsisThis text introduces numerical methods and shows how to develop, analyse, and use them. Complete MATLAB programs are now available at www.cambridge.org/Moin, with more than 30 exercises. This thorough and practical book is a first course in numerical analysis for new graduate students in engineering and physical science.Trade Review'… thorough and practical …' Mathematical ReviewsTable of Contents1. Interpolation; 2. Numerical differentiation - finite differences; 3. Numerical integration; 4. Numerical solution of ordinary differential equations; 5. Numerical solution of partial differential equations; 6. Discrete transform methods; Appendix. A review of linear algebra.
£63.64
Cambridge University Press Nonequilibrium Statistical Mechanics and Turbulence 355 London Mathematical Society Lecture Note Series Series Number 355
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£44.64
Cambridge University Press Statistical Thermodynamics and Stochastic Kinetics
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£48.44
Cambridge University Press Detection and Estimation for Communication and Radar Systems
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£71.24
Cambridge University Press AirSea Interaction
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£123.50
Cambridge University Press AirSea Interaction
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£59.84
Cambridge University Press Aperiodic Order
Book SynopsisThis first volume in a series provides a graduate-level introduction to the many facets of aperiodic order. Special attention is given to methods from algebra, discrete geometry and harmonic analysis, while the main focus is on topics motivated by physics and crystallography. Numerous illustrations and examples are included.Trade Review'Mathematicians add hypotheses to theorems either to bar known monsters or provisionally to enable proof, pending better ideas that lead to more general results … Monsters no more, aperiodic filings have joined mainstream mathematics, and undergraduates drawn here by beautiful graphics will find themselves initiated into algebraic number theory, Lie theory, ergodic theory, dynamical systems, finite-state automata, Fourier analysis, and more.' D. V. Feldman, University of New Hampshire'Aperiodic Order is a comprehensive introduction to this relatively new and multidisciplinary field. Sparked by Dan Shechtman's discovery of quasicrystals in 1982, which earned him the 2011 Nobel Prize in Chemistry, the field incorporates crystallography, discrete geometry, dynamical systems, harmonic analysis, mathematical diffraction theory, and more. Because the field spans such disparate fields, advances by one group often go unnoticed by the other. An important goal of this book is to remedy this by unifying and contextualizing results and providing a common language for researchers. … Readers who want to follow up on any details can certainly find a reference in the nearly 30 pages of bibliographic entries. Full of examples, construction techniques, and an array of analytic tools, this book is an outstanding resource for those hoping to enter the field, yet also contains plenty of useful information for seasoned experts.' Natalie Priebe Frank, Mathematical Association of AmericaTable of ContentsForeword Roger Penrose; Preface; 1. Introduction; 2. Preliminaries; 3. Lattices and crystals; 4. Symbolic substitutions and inflations; 5. Patterns and tilings; 6. Inflation tilings; 7. Projection method and model sets; 8. Fourier analysis and measures; 9. Diffraction; 10. Beyond model sets; 11. Random structures; A. The icosahedral group; Appendix B. The dynamical spectrum; References; Index.
£88.34
Cambridge University Press Numerical and Statistical Methods for Bioengineering
Book SynopsisThe first MATLAB-based numerical methods textbook specifically for bioengineers, including topics on hypothesis testing, plus numerous examples drawn exclusively from biomedical engineering applications. This is an ideal core text for one-semester undergraduate courses, and is also a valuable reference for anyone interested in the quantitative aspects of biology research.Trade Review'I think this book is a winner … [it] is really easy to read and places frameworks for numerical analysis into realistic bioengineering concepts that students will find familiar and relevant. This is most evident in the excellent boxed examples, but also in many of the homework problems. I also really liked the 'key points to consider' at the end of the chapters - these are useful reminders for the students. Finally, the book presents bioinformatics in a manageable fashion that should help demystify this subject for interested students.' K. Jane Grande-Allen, Rice UniversityTable of Contents1. Types and sources of numerical error; 2. Systems of linear equations; 3. Statistics and probability; 4. Hypothesis testing; 5. Root finding techniques for nonlinear equations; 6. Numerical quadrature; 7. Numerical integration of ordinary differential equations; 8. Nonlinear data regression and optimization; 9. Basic algorithms of bioinformatics; Appendix A. Introduction to MATLAB; Appendix B. Location of nodes for Gauss-Legendre quadrature.
£85.49
Cambridge University Press Filtering and System Identification
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£128.25
Cambridge University Press Fundamentals of Engineering Numerical Analysis
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£94.99
Cambridge University Press A Students Guide to Numerical Methods
Book SynopsisWritten for senior undergraduates in all disciplines of physical science and engineering, the plain language style of this concise guide to numerical methods concentrates on developing computational skills and avoids potentially intimidating formal mathematical proofs. Including numerous worked examples and exercises, this textbook explains the practical realities of numerical techniques.Table of ContentsPreface; 1. Fitting functions to data; 2. Ordinary differential equations; 3. Two-point boundary conditions; 4. Partial differential equations; 5. Diffusion: parabolic PDEs; 6. Elliptic problems and iterative matrix solution; 7. Fluid dynamics and hyperbolic equations; 8. Boltzmann's equation and its solution; 9. Energy-resolved diffusive transport; 10. Atomistic and particle-in-cell simulation; 11. Monte Carlo techniques; 12. Monte Carlo radiation transport; 13. Next steps; Appendix A. Summary of matrix algebra; Index.
£46.55
Cambridge University Press Linear Algebra
Book SynopsisLinear Algebra offers a unified treatment of both matrix-oriented and theoretical approaches to the course, which will be useful for classes with a mix of mathematics, physics, engineering, and computer science students. Major topics include singular value decomposition, the spectral theorem, linear systems of equations, vector spaces, linear maps, matrices, eigenvalues and eigenvectors, linear independence, bases, coordinates, dimension, matrix factorizations, inner products, norms, and determinants.Trade Review'This is a book for anyone who wants to really understand linear algebra. Instead of mere cookbook recipes or dry proofs, it provides explanations, examples, pictures - and, yes, algorithms and proofs too, but only after the reader is able to understand them. And while it is aimed at beginners, even experts will have something to learn from this book.' John Baez, University of California, Riverside'This is an exciting and entertaining book. It keeps an informal tone, but without sacrificing accuracy or clarity. It takes care to address common difficulties (and the classroom testing shows), but without talking down to the reader. It uses the modern understanding of how to do linear algebra right, but remains accessible to first-time readers.' Tom Leinster, University of Edinburgh'Linear algebra is one of the most important topics in mathematics, as linearity is exploited throughout applied mathematics and engineering. Therefore, the tools from linear algebra are used in many fields. However, they are often not presented that way, which is a missed opportunity. The authors have written a linear algebra book that is useful for students from many fields (including mathematics). A great feature of this book is that it presents a formal linear algebra course that clearly makes (coordinate) matrices and vectors the fundamental tools for problem solving and computations.' Eric de Sturler, Virginia Polytechnic Institute and State University'It is a book well worth considering both for learning and teaching this important area of mathematics.' John Baylis, The Mathematical GazetteTable of Contents1. Linear systems and vector spaces; 2. Linear maps and matrices; 3. Linear independence, bases, and coordinates; 4. Inner products; 5. Singular value decomposition and the spectral theorem; 6. Determinants.
£54.14
Cambridge University Press Introduction to Finite Element Vibration Analysis
Book SynopsisAn introduction to the mathematical basis of finite element analysis as applied to vibrating systems. Finite element analysis is a technique that is very important in modeling the response of structures to dynamic loads and is widely used in aeronautical, civil, and mechanical engineering as well as naval architecture.Trade Review"The contents of this work are very well organized, and Petyt (Univ. of Southhamption, UK) gradually introduces important concepts, making it a very useful theoretical reference." X. Le, Wentworth Institute of Technology"The contents of this work are very well organized ... a very useful theoretical reference. ...Recommended." CHOICETable of Contents1. Formulation of the equations of motion; 2. Element energy functions; 3. Introduction to the finite element displacement method; 4. In-plane vibration of plates; 5. Vibration of solids; 6. Flexural vibration of plates; 7. Vibration of stiffened plates and folded plate structures; 8. Vibration of shells; 9. Vibration of laminated plates and shells; 10. Hierarchical finite element method; 11. Analysis of free vibration; 12. Forced response; 13. Forced response II; 14. Computer analysis technique.
£45.59
John Wiley & Sons Inc Student Solutions Manual to accompany Technical
Book SynopsisThis textbook has been in constant use since 1980, and this edition represents the first major revision of this text since the second edition. It was time to select, make hard choices of material, polish, refine, and fill in where needed. Much has been rewritten to be even cleaner and clearer, new features have been introduced, and some peripheral topics have been removed. The authors continue to provide real-world, technical applications that promote intuitivereader learning. Numerous fully worked examples and boxed and numbered formulas give students the essential practice they need to learn mathematics. Computer projects are given when appropriate, including BASIC, spreadsheets, computer algebra systems, and computer-assisted drafting. The graphing calculator has been fully integrated and calculator screens are given to introduce computations. Everything the technical student may need is included, with the emphasis always on clarity and practical applications.
£73.10
John Wiley & Sons Inc Solutions Manual to Accompany Statistics and
Book SynopsisA solutions manual to accompany Statistics and Probability with Applications for Engineers and Scientists Unique among books of this kind, Statistics and Probability with Applications for Engineers and Scientists covers descriptive statistics first, then goes on to discuss the fundamentals of probability theory.Table of ContentsChapter 2 1 Practice Problems for Sections 2.1 and 2.2, 1 Practice Problems for Section 2.3, 1 Practice Problems for Section 2.4, 2 Practice Problems for Section 2.5, 8 Practice Problems for Section 2.6, 8 Practice Problems for Sections 2.7 and 2.8, 11 Practice Problems for Section 2.9, 12 Review Practice Problems, 13 Chapter 3 23 Practice Problems for Sections 3.2 and 3.3, 23 Practice Problems for Section 3.4, 25 Practice Problems for Sections 3.5 and 3.6, 26 Review Practice Problems, 28 Chapter 4 36 Practice Problems for Sections 4.1 and 4.2, 36 Practice Problems for Sections 4.3 and 4.4, 37 Practice Problems for Sections 4.5 and 4.6, 38 Practice Problems for Section 4.7, 39 Practice Problems for Section 4.8, 40 Practice Problems for Section 4.9, 41 Review Practice Problems, 42 Chapter 5 51 Practice Problems for Sections 5.1 and 5.2, 51 Practice Problems for Section 5.3, 53 Practice Problems for Section 5.4, 53 Practice Problems for Section 5.5, 54 Practice Problems for Section 5.6, 55 Practice Problems for Sections 5.7 and 5.8, 57 Practice Problems for Section 5.9.1, 58 Practice Problems for Section 5.9.2, 59 Practice Problems for Sections 5.9.3 and 5.9.4, 60 Review Practice Problems, 61 Chapter 6 70 Practice Problems for Section 6.2, 70 Practice Problems for Sections 6.3 and 6.4, 73 Review Practice Problems, 74 Chapter 7 80 Practice Problems for Section 7.1, 80 Practice Problems for Section 7.2, 80 Practice Problems for Section 7.3, 81 Practice Problems for Section 7.4, 81 Review Practice Problems, 83 Chapter 8 87 Practice Problems for Section 8.2, 87 Practice Problems for Section 8.3, 89 Practice Problems for Section 8.4, 90 Practice Problems for Sections 8.5 and 8.6, 92 Practice Problems for Section 8.7, 94 Practice Problems for Section 8.8, 95 Review Practice Problems, 96 Chapter 9 104 Practice Problems for Section 9.2, 104 Practice Problems for Section 9.3, 105 Practice Problems for Section 9.4, 106 Practice Problems for Section 9.5, 107 Practice Problems for Section 9.6, 108 Practice Problems for Section 9.7, 109 Practice Problems for Section 9.8, 110 Practice Problems for Section 9.9, 112 Practice Problems for Section 9.10, 113 Practice Problems for Sections 9.11 and 9.12, 114 Review Practice Problems, 116 Chapter 10 131 Practice Problems for Section 10.1, 131 Practice Problems for Section 10.2, 132 Practice Problems for Sections 10.3 and 10.4, 133 Review Practice Problems, 138 Chapter 11 145 Practice Problems for Sections 11.3 and 11.4, 145 Practice Problems for Section 11.5, 147 Practice Problems for Section 11.6, 151 Practice Problems for Section 11.7, 155 Review Practice Problems, 156 Chapter 12 165 Practice Problems for Section 12.2, 165 Practice Problems for Section 12.3, 165 Practice Problems for Section 12.4, 170 Practice Problems for Section 12.5, 174 Review Practice Problems, 178 Chapter 13 190 Practice Problems for Section 13.2, 190 Practice Problems for Section 13.3, 194 Practice Problems for Section 13.4, 197 Review Practice Problems, 199 Chapter 14 207 Practice Problems for Section 14.2, 207 Practice Problems for Section 14.3, 209 Practice Problems for Section 14.4, 211 Practice Problems for Section 14.5, 212 Review Practice Problems, 215 Chapter 15 219 Practice Problems for Section 15.2, 219 Practice Problems for Sections 15.3 and 15.4, 225 Practice Problems for Section 15.5, 230 Practice Problems for Section 15.6, 231 Practice Problems for Section 15.7, 233 Practice Problems for Section 15.8, 236 Practice Problems for Section 15.9, 239 Review Practice Problems, 240 Chapter 16 257 Practice Problems for Section 16.3, 257 Practice Problems for Section 16.4, 261 Practice Problems for Sections 16.6 and 16.7, 265 Practice Problems for Section 16.8, 269 Review Practice Problems, 270 Chapter 17 285 Practice Problems for Section 17.2, 285 Practice Problems for Section 17.3, 286 Practice Problems for Section 17.4, 289 Practice Problems for Section 17.5, 291 Practice Problems for Section 17.6, 294 Practice Problems for Section 17.7, 295 Review Practice Problems, 297 Chapter 18 308 Practice Problems for Section 18.2, 308 Practice Problems for Section 18.3, 309 Practice Problems for Section 18.4, 311 Practice Problems for Section 18.5, 314 Practice Problems for Section 18.6, 320 Review Practice Problems, 325 Chapter 19 345 Practice Problems for Section 19.2, 345 Practice Problems for Section 19.3, 348 Practice Problems for Section 19.4, 351 Review Practice Problems, 355
£32.95
John Wiley & Sons Inc Fractional Order Motion Controls
Book SynopsisCovering fractional order theory, simulation and experiments, this book explains how fractional order modelling and fractional order controller design compares favourably with traditional velocity and position control systems. The authors systematically compare the two approaches using applied fractional calculus.Table of ContentsAcronyms xix Foreword xxiii Preface xxv Acknowledgments xxix PART I FUNDAMENTALS OF FRACTIONAL CONTROLS 1 Introduction 3 1.1 Fractional Calculus 3 1.2 Fractional Order Controls 9 1.3 Fractional Order Motion Controls 20 1.4 Contributions 22 1.5 Organization 22 PART II FRACTIONAL ORDER VELOCITY SERVO 2 Fractional Order PI Controller Designs for Velocity Servo Systems 25 2.1 Introduction 25 2.2 FOPTD Systems and Three Controllers Considered 27 2.3 Design Specifications 27 2.4 Fractional Order PI and [PI] Controller Designs 28 2.5 Simulation 38 2.6 Chapter Summary 39 3 Tuning Fractional Order PI Controllers for Fractional Order Velocity Systems with Experimental Validation 41 3.1 Introduction 41 3.2 Three Controllers to Be Designed and Tuning Specifications 42 3.3 Tuning Three Controllers for FOVS 42 3.4 Illustrative Examples and Design Procedure Summaries 43 3.5 Simulation Illustration 45 3.6 Experimental Validation 49 3.7 Chapter Summary 54 4 Relay Feedback Tuning of Robust PID Controllers 59 4.1 Introduction 59 4.2 Slope Adjustment of the Phase Bode Plot 62 4.3 The New PID Controller Design Formulae 65 4.4 Phase and Magnitude Measurement Via Relay Feedback Tests 66 4.5 Illustrative Examples 67 4.6 Chapter Summary 72 5 Auto-Tuning of Fractional Order Controllers with Iso-Damping 73 5.1 Introduction 73 5.2 FOPI and FO[PI] Controllers Design Formulae 75 5.3 Measurements for Auto-Tuning 80 5.4 Simulation Illustration 80 5.5 Chapter Summary 87 PART III FRACTIONAL ORDER POSITION SERVO 6 Fractional Order PD Controller Tuning for Position Systems 91 6.1 Introduction 91 6.2 Fractional Order PD Controller Design for Position Servos 92 6.3 Design Procedures 94 6.4 Simulation Example 95 6.5 Experiments 99 6.6 Chapter Summary 101 7 Fractional Order [PD] Controller Synthesis for Position Servo Systems 105 7.1 Introduction 105 7.2 Position Control Plants and Design Specifications 106 7.3 Fractional Order [PD] Controller Design 106 7.4 Parameter Design Examples and Bode Plot Validations 108 7.5 Implementation of Two Fractional Order Operators 110 7.6 Simulation 111 7.7 Experiment 120 7.8 Chapter Summary 122 8 Time-Constant Robust Analysis and Design of Fractional Order [PD] Controller 123 8.1 Introduction 123 8.2 Problem Statement 124 8.3 FO[PD] Tuning Specifications and Rules 125 8.4 The Solution Existence Range and An Online Computation Method 127 8.5 Experiment 135 8.6 Chapter Summary 136 9 Experimental Study of Fractional OrderPDController Synthesis for Fractional Order Position Servo Systems 139 9.1 Introduction 139 9.2 Fractional Order Systems and Fractional Order Controller Considered 140 9.3 FOPD Controller Design Procedure for the Fractional Order Position Servo Systems 141 9.4 Simulation Illustration 144 9.5 Experimental Study 148 9.6 Chapter Summary 153 10 Fractional Order [PD] Controller Design and Comparison for Fractional Order Position Servo Systems 155 10.1 Introduction 155 10.2 Fractional Order Position Servo Systems and Fractional Order Controllers 156 10.3 Fractional Order [PD] Controller Design 156 10.4 Integer Order PID Controller and Fractional Order PD Controller Designs 159 10.5 Simulation Comparisons 160 10.6 Chapter Summary 162 PART IV STABILITY AND FEASIBILITY FOR FOPID DESIGN 11 Stability and Design Feasibility of Robust PID Controllers for FOPTD Systems 165 11.1 Introduction 165 11.2 Stability Region and Flat Phase Tuning Rule for the Robust PID Controller Design 168 11.3 PID Controller Design with Pre-Specifications on Ám and !c 171 11.4 Simulation Illustration 180 11.5 Chapter Summary 185 12 Stability and Design Feasibility of Robust FOPI Controllers for FOPTD Systems 187 12.1 Introduction 187 12.2 Stabilizing and Robust FOPI Controller Design for FOPTD Systems 188 12.3 Design Procedures Summary with An Illustrative Example 194 12.4 Complete Information Collection for Achievable Region of wc and Φm 197 12.5 Simulation Illustration 201 12.6 Chapter Summary 207 PART V FRACTIONAL ORDER DISTURBANCE COMPENSATORS 13 Fractional Order Disturbance Observer 211 13.1 Introduction 211 13.2 Disturbance Observer (DOB) 212 13.3 Actual Design Parameters In DOB and Their Effects 213 13.4 Loss of The Phase Margin With DOB 215 13.5 Solution One: Rule-Based Switched Low Pass Filtering With Varying Relative Degree 216 13.6 The Proposed Solution: Guaranteed Phase Margin Method Using Fractional Order Low Pass Filtering 216 13.7 Implementation Issues: Stable Minimum-Phase Frequency Domain Fitting 218 13.8 Chapter Summary 222 14 Fractional Order Adaptive Feed-forward Cancellation 223 14.1 Introduction 223 14.2 Fractional Order Adaptive Feed-forward Cancellation 225 14.3 Equivalence Between Fractional Order Internal Model Principle and Fractional Order Adaptive Feed-Forward Cancellation 229 14.4 Frequency-domain analysis of the FOAFC performance for the periodic disturbance 231 14.5 Simulation Illustration 233 14.6 Experiment Validation 237 14.7 Chapter Summary 241 15 Fractional Order Robust Control for Cogging Effect 243 15.1 Introduction 243 15.2 Fractional Order Robust Control of Cogging Effect Compensation 244 15.3 Simulation Illustration 252 15.4 Experiments on A Lab Testbed - Dynamometer 258 15.5 Chapter Summary 264 16 Fractional Order Periodic Adaptive Learning Compensation 275 16.1 Introduction 275 16.2 Fractional Order Periodic Adaptive learning Compensation for the State-dependent Periodic Disturbance 276 16.3 Simulation Illustrations 282 16.4 Experimental Validation 284 16.5 Chapter Summary 288 PART VI EFFECTS OF FRACTIONAL ORDER CONTROLS ON NONLINEARITIES 17 Fractional Order PID Control of A DC-Motor with Elastic Shaft 293 17.1 Introduction 293 17.2 The Benchmark Position Servo System 294 17.3 A Modified Approximate Realization Method 295 17.4 Comparative Simulations 297 17.5 Chapter Summary 305 18 Fractional Order Ultra Low-Speed Position Servo 313 18.1 Introduction 313 18.2 Ultra Low-Speed Position Tracking using Designed FOPD and Optimized IOPI 314 18.3 Static and Dynamic Models of Friction and DescribingFunctions for Friction Models 316 18.4 Simulation Analysis with IOPI and FOPD Controllers Using Describing Function 321 18.5 Extended Experimental Demonstration 324 18.6 Chapter Summary 325 19 Optimized Fractional Order Conditional Integrator 329 19.1 Introduction 329 19.2 Clegg Conditional Integrator 330 19.3 Intelligent Conditional Integrator 331 19.4 The Optimized Fractional Order Conditional Integrator 332 19.5 Simulation Validation 340 19.6 Chapter Summary 342 PART VII FRACTIONAL ORDER CONTROL APPLICATIONS 20 Lateral Directional Fractional Order Control of A Small Fixed-Wing UAV 345 20.1 Introduction 345 20.2 Flight Control System of Small Fixed-Wing UAV 346 20.3 Integer/Fractional Order Controller Designs 351 20.4 Modified Ziegler-Nichols PI Controller Design 352 20.5 Fractional Order (PI)¸ Controller Design 353 20.6 Fractional Order PI Controller Design 355 20.7 Integer Order PID Controller Design 356 20.8 Simulation Illustration 357 20.9 Flight Experiments 363 20.10 Chapter Summary 367 21 Fractional Order PD Controller Synthesis and Implementation for HDD Servo System 369 21.1 Introduction 369 21.2 Fractional Order Controller Design with “Flat Phase” 370 21.3 Implementation of the Fractional Order Controller 372 21.4 Readjustment for the Designed FOPD Controller 377 21.5 Experiment 380 21.6 Chapter Summary 383 References 385 Index 403
£106.35
Cengage Learning, Inc Mathematics for Machine Technology
Book SynopsisStrengthen mathematical skills and gain practice using those skills in preparation for success in machine trades or manufacturing with Peterson/Smith's MATHEMATICS FOR MACHINE TECHNOLOGY, 8E. This comprehensive book connects math concepts to relevant machine applications, using industry-specific examples, realistic illustrations and actual machine functions. Step-by-step problems and examples progress from general math to more complex trigonometry and solid geometry while demonstrating how math applies to machine trades and manufacturing fields. The authors highlight calculator operations when appropriate. New coverage in this edition emphasizes spreadsheets and introductory G- and M- codes for CNC programming. Master the practical, vocational and technical applications of math concepts necessary to excel in today's machine, tool-and-die and tool design industries with this proven book.Table of ContentsSECTION 1: COMMON FRACTIONS AND DECIMAL FRACTIONS. Unit 1. Introduction to Common Fractions and Mixed Numbers. Unit 2. Addition of Common Fractions and Mixed Numbers. Unit 3. Subtraction of Common Fractions and Mixed Numbers. Unit 4. Multiplication of Common Fractions and Mixed Numbers. Unit 5. Division of Common Fractions and Mixed Numbers. Unit 6. Combined Operations of Common Fractions and Mixed Numbers. Unit 7. Computing with a Calculator: Fractions and Mixed Numbers. UNIT 8. Computing with a Spreadsheet: Fractions and Mixed Numbers. Unit 9. Introduction to Decimal Fractions. Unit 10. Rounding Decimal Fractions and Equivalent Decimal and Common Fractions. Unit 11. Addition and Subtraction of Decimal Fractions. Unit 12. Multiplication of Decimal Fractions. Unit 13. Division of Decimal Fractions. Unit 14. Powers. Unit 15. Roots. Unit 16. Table of Decimal Equivalents and Combined Operations of Decimal Fractions. Unit 17. Computing with a Calculator: Decimals. Unit 18. Computing with a Spreadsheet: Decimals. Unit 19. Achievement Review Section One. SECTION 2: RATIO, PROPORTION, AND PERCENTAGE. Unit 20. Ratio and Proportion. Unit 21. Direct and Inverse Proportions. Unit 22. Introduction to Percents. Unit 23. Basic Calculations of Percentages, Percents, and Rates. Unit 24. Percent Practical Applications. Unit 25. Achievement Review Section Two SECTION 3: LINEAR MEASUREMENT: CUSTOMARY (ENGLISH) AND METRIC. Unit 26. Customary (English) Units of Measure. Unit 27. Metric Units of Linear Measure. Unit 28. Degree of Precision and Greatest Possible Error, Absolute Error, and Relative Error. Unit 29. Tolerance, Clearance, and Interference. Unit 30. Customary and Metric Steel Rules. Unit 31. Customary Vernier Calipers and Height Gages. Unit 32. Metric Vernier Calipers and Height Gages. Unit 33. Digital Calipers and Height Gages. Unit 34. Customary Micrometers. Unit 35. Metric Vernier Micrometers. Unit 36. Digital Micrometers. Unit 37. Customary and Metric Gage Blocks. Unit 38. Achievement Review Section Three. SECTION 4: FUNDAMENTALS OF ALGEBRA. Unit 39. Symbolism and Algebraic Expressions. Unit 40. Signed Numbers. Unit 41. Algebraic Operations of Addition, Subtraction, and Multiplication. Unit 42. Algebraic Operations of Division, Powers, and Roots. Unit 43. Introduction to Equations. Unit 44. Solution of Equations by the Subtraction, Addition, and Division Principles of Equality. Unit 45. Solution of Equations by the Multiplication, Root, and Power Principles of Equality. Unit 46. Solution of Equations Consisting of Combined Operations and Rearrangement of Formulas. Unit 47. Applications of Formulas to Cutting Speed, Revolutions Per Minute, and Cutting Time. Unit 48. Applications of Formulas to Spur Gears. Unit 49. Achievement Review Section FOUR. SECTION 5: FUNDAMENTALS OF PLANE GEOMETRY. Unit 50. Lines and Angular Measure. Unit 51. Protractors- Simple Semicircular and Vernier. Unit 52. Types of Angles and Angular Geometric Principles. Unit 53. Introduction to Triangles. Unit 54. Geometric Principles for Triangles and Other Common Polygons. Unit 55. Introduction to Circles. Unit 56. Arcs and Angles of Circles, Tangent Circles. Unit 57. Fundamental Geometric Constructions. Unit 58. Achievement Review Section Five. SECTION 6: GEOMETRIC FIGURES: AREAS AND VOLUMES. Unit 59. Areas of Rectangles, Parallelograms, and Trapezoids. Unit 60. Areas of Triangles. Unit 61. Areas of Circles, Sectors, and Segments. Unit 62. Volumes of Prisms and Cylinders. Unit 63. Volumes of Pyramids and Cones. Unit 64. Volumes of Spheres and Composite Solid Figures. Unit 65. Achievement Review Section Six. SECTION 7: TRIGONOMETRY. Unit 66. Introduction to Trigonometric Functions. Unit 67. Analysis of Trigonometric Functions. Unit 68. Basic Calculations of Angles and Sides of Right Triangles. Unit 69. Simple Practical Machine Applications. Unit 70. Complex Practical Machine Applications. Unit 71. The Cartesian Coordinate System. Unit 72. Oblique Triangles: Law of Sines and Law of Cosines. Unit 73. Achievement Review Section Seven. SECTION 8I: COMPOUND ANGLES. Unit 74. Introduction to Compound Angles. Unit 75. Drilling and Boring Compound-Angular Holes: Computing Angles of Rotation and Tilt Using Given Lengths. Unit 76. Drilling and Boring Compound-Angular Holes: Computing Angles of Rotation and Tilt Using Given Angles. Unit 77. Machining Compound-Angular Surfaces: Computing Angles of Rotation and Tilt. Unit 78. Computing Angles Made by the Intersection of Two Angular Surfaces. Unit 79. Computing Compound Angles on Cutting and Forming Tools. Unit 80. Achievement Review Section Eight. SECTION 9: COMPUTER NUMERICAL CONTROL: (CNC). Unit 81. Introduction to Computer Numerical Control (CNC). Unit 82. Control Systems, Absolute Positioning, Incremental Positioning. Unit 83. Location of Points: Polar Coordinate System. Unit 84. Binary Numeration System. Unit 85. Hexadecimal Numeration System. Unit 86. BCD (Binary Coded Decimal) Numeration Systems. Unit 87. An Introduction to G- and M-Codes for CNC Programming Unit 88. Achievement Review Section 9. Appendix A. United States Customary and Metric Units of Measure. Appendix B. Principles of Plane Geometry. Appendix C. Formulas for Areas (A) of Plane Figures. Appendix D. Formulas for Volumes of Solid Figures. Appendix E. Trigonometry. Appendix F. Common G- and M-Codes. Answers to Odd-Numbered Applications. Index.
£174.20
ISTE Ltd and John Wiley & Sons Inc Formal Methods Applied to Industrial Complex
Book SynopsisA presentation of real examples of industrial uses for formal methods such as SCADE, the B-Method, ControlBuild, Matelo, etc. in various fields, such as railways, aeronautics, and the automotive industry, the purpose of this book is to present a summary of experience on the use of these “formal methods” (such as proof and model-checking) in industrial examples of complex systems. It is based on the experience of people who are currently involved in the creation and evaluation of safety critical system software. The involvement of people from within the industry allows us to avoid the usual problems of confidentiality which could arise and thus enables us to supply new useful information (photos, architecture plans, real examples, etc.).Table of ContentsINTRODUCTION xiii CHAPTER 1. FORMAL DESCRIPTION AND MODELING OF RISKS 1 Jean-Louis BOULANGER 1.1. Introduction1 1.2. Standard process 2 1.2.1. Risks, undesirable events and accidents 2 1.2.2. Usual process 7 1.2.3. Formal software processes for safety-critical systems 8 1.2.4. Formal methods for safety-critical systems 9 1.2.5. Safety kernel 9 1.3. Methodology 10 1.3.1. Presentation 10 1.3.2. Risk mastery process 10 1.4. Case study 13 1.4.1. Rail transport system. 13 1.4.2. Presentation 13 1.4.3. Description of the environment 14 1.4.4. Definition of side-on collision 16 1.4.5. Risk analysis17 1.5. Implementation 18 1.5.1. The B method 18 1.5.2. Implementation 19 1.5.3. Specification of the rail transport system and side-on collision 19 1.6. Conclusion 22 1.7. Glossary 23 1.8. Bibliography 23 CHAPTER 2. AN INNOVATIVE APPROACH AND AN ADVENTURE IN RAIL SAFETY 27 Sylvain FIORONI 2.1. Introduction 27 2.2. Open Control of Train Interchangeable and Integrated System 30 2.3. Computerized interlocking systems 32 2.4. Conclusion 34 2.5. Glossary 35 2.6. Bibliography 36 CHAPTER 3. USE OF FORMAL PROOF FOR CBTC (OCTYS) 37 Christophe TREMBLIN, Pierre LESOILLE and Omar REZZOUG 3.1. Introduction . 37 3.2. Presentation of the Open Control of Train Interchangeable and Integrated System CBTC 38 3.2.1. Open Control of Train Interchangeable and Integrated System 38 3.2.2. Purpose of CBTC 39 3.2.3. CBTC architectures 40 3.3. Zone control equipment 42 3.3.1. Presentation 42 3.3.2. SCADE model 43 3.4. Implementation of the solution 46 3.5. Technical solution and implementation 49 3.5.1. Property definition 49 3.5.2. Two basic principles of property definition 50 3.5.3. Test topologies 52 3.5.4. Initial analyses 53 3.5.5. The property treatment process 57 3.5.6. Non-regression 63 3.6. Results 65 3.7. Possible improvements 66 3.8. Conclusion 67 3.9. Glossary 68 3.10. Bibliography 69 CHAPTER 4. SAFETY DEMONSTRATION FOR A RAIL SIGNALING APPLICATION IN NOMINAL AND DEGRADED MODES USING FORMAL PROOF 71 Jean-Marc MOTA, Evguenia DMITRIEVA, Amel MAMMAR, Paul CASPI, Salimeh BEHNIA, Nicolas BRETON and Pascal RAYMOND 4.1. Introduction 71 4.1.1. Context 73 4.2. Case description 74 4.2.1. Operational architecture of the PMI system 75 4.2.2. CIM subsystem 76 4.2.3. CIM program verification with and without proof 78 4.2.4. Scope of verification 80 4.3. Modeling the whole system 82 4.3.1. Application model 82 4.3.2. Safety properties 83 4.3.3. Environment model 86 4.4. Formal proof suite 97 4.4.1. Modeling the system 97 4.4.2. Non-certified analysis chain 98 4.4.3. The certified analysis chain 99 4.4.4. Assessment of the proof suite 100 4.5. Application 101 4.6. Results of our experience 105 4.6.1. Environment modeling 105 4.6.2. Proof vs. testing 107 4.6.3. Limitations 108 4.7. Conclusion and prospects 108 4.8. Glossary 110 4.9. Bibliography 111 CHAPTER 5. FORMAL VERIFICATION OF DATA FOR PARAMETERIZED SYSTEMS 115 Mathieu CLABAUT 5.1. Introduction 115 5.1.1. Systerel 115 5.1.2. Data verification 116 5.1.3. Parameterized systems 117 5.2. Data in the development cycle 118 5.2.1. Data and property identification 119 5.2.2. Modeling 119 5.2.3. Property validation 120 5.2.4. Data production 120 5.2.5. Property verification using data 120 5.2.6. Data integration 120 5.3. Data verification 122 5.3.1. Manual verification 122 5.3.2. Algorithmic verification 122 5.3.3. Formal verification 123 5.4. Example of implementation 130 5.4.1. Presentation 130 5.4.2. Property modeling 131 5.4.3. Data extraction 132 5.4.4. Tools 133 5.5. SSIL4 process 133 5.6. Conclusion 134 5.7. Glossary 134 5.8. Bibliography 134 CHAPTER 6. ERTMS MODELING USING EFS 137 Laurent FERIER, Svitlana LUKICHEVA and Stanislas PINTE 6.1. The context 137 6.2. EFS description 139 6.2.1. Characteristics 139 6.2.2. Modeling process 147 6.2.3. Interpretation or code generation 148 6.3. Braking curves modeling 149 6.3.1. Computing braking curves 149 6.3.2. Permitted speed and speed limitation curves 151 6.3.3. Deceleration factors 155 6.3.4. Deceleration curves 156 6.3.5. Target supervision limits 159 6.3.6. Symbolic computation 159 6.3.7. Braking curves verification 160 6.4. Conclusion 161 6.5. Further works 162 6.6. Bibliography 163 CHAPTER 7. THE USE OF A “MODEL-BASED DESIGN” APPROACH ON AN ERTMS LEVEL 2 GROUND SYSTEM 165 Stéphane CALLET, Saïd EL FASSI, Hervé FEDELER, Damien LEDOUX and Thierry NAVARRO 7.1. Introduction 166 7.2. Modeling an ERTMS Level 2 RBC 168 7.2.1. Overall architecture of the model 170 7.2.2. Functional separation 171 7.3. Generation of the configuration 175 7.3.1. Development of a track plan 175 7.3.2. Writing the configuration 176 7.3.3. Translation of the configurations to the MATLAB/Simulink format 177 7.4. Validating the model 177 7.4.1. Development of a language in which to write the scenarios 178 7.4.2. Writing the scenarios 178 7.4.3. Verification of the scenarios 179 7.4.4. Animation of the model 180 7.4.5. Addition of coherence properties for the scenarios 183 7.4.6. Coverage of the model 183 7.5. Proof of the model 184 7.5.1. Expressing the properties 184 7.5.2. Proof of the properties 186 7.6. Report generation 186 7.6.1. Documentation of the model 187 7.6.2. Automatic generation of the report 188 7.7. Principal modeling choices 189 7.8. Conclusion 190 CHAPTER 8. APPLYING ABSTRACT INTERPRETATION TO DEMONSTRATE FUNCTIONAL SAFETY 191 Daniel KÄSTNER 8.1. Introduction 191 8.2. Abstract interpretation 193 8.3. Non-functional correctness 194 8.3.1. Stack usage 194 8.3.2. Worst-case execution time 195 8.3.3. Run-time errors 196 8.4. Why testing is not enough 197 8.5. Verifying non-functional program properties by abstract Interpretation 199 8.5.1. WCET and stack usage analysis 200 8.5.2. Run-time error analysis 206 8.6. The safety standards perspective 210 8.6.1. DO-178B 210 8.6.2. DO-178C / DO-333 211 8.6.3. ISO-26262 214 8.6.4. IEC-61508 216 8.6.5. CENELEC EN-50128 217 8.6.6. Regulations for medical software 218 8.7. Providing confidence – tool qualification and more 219 8.7.1. Tool qualification 220 8.8. Integration in the development process 222 8.9. Practical experience 223 8.10. Summary 224 8.11. Appendix A: Non-functional verification objectives of DO-178C 225 8.12. Appendix B: Non-functional requirements of ISO-26262 225 8.13. Bibliography 229 CHAPTER 9. BCARE: AUTOMATIC RULE CHECKING FOR USE WITH SIEMENS 235 Karim BERKANI, Melanie JACQUEL and Eric LE LAY 9.1. Overview 235 9.2. Introduction 235 9.3. Description of the validation process for added rules 238 9.3.1. The proof activity 238 9.3.2. Rules 238 9.3.3. Rule validation 241 9.4. The BCARe validation tool 243 9.4.1. BCARe: an environment for rule validation 243 9.4.2. Check_blvar 244 9.4.3. Chaine_verif 253 9.5. Proof of the BCARe validation lemmas 260 9.5.1. Automatic proof using Ltac 261 9.5.2. Evaluation and tests 269 9.6. Conclusion 271 9.7. Acknowledgments 272 9.8. Bibliography 272 CHAPTER 10. VALIDATION OF RAILWAY SECURITY AUTOMATISMS BASED ON PETRI NETWORKS 275 Marc ANTONI 10.1. Introduction 275 10.1.1. Note to the reader 275 10.1.2. Summary 275 10.2. Issues involved 277 10.2.1. Introduction 277 10.2.2. An industry context: railways 278 10.2.3. Determinism versus probabilism for the safe management of critical computerized systems 279 10.2.4. A key element: formal validation 300 10.3. Railway safety: basic concepts 301 10.3.1. Control of safety properties and postulates 302 10.3.2. Aspects that should be considered for carrying out a formal validation 308 10.4. Formal validation method for critical computerized systems 313 10.4.1. The interlocking module for modern signal boxes 313 10.4.2. AEFD specification language 316 10.4.3. Method for proof by assertions 325 10.5. Application to a real signal box 337 10.5.1. Introduction 337 10.5.2. Presentation of the track plan and the signal box program 337 10.5.3. Safety properties and postulates 338 10.5.4. Exploration and formal validation of the application functional software of the signal box 339 10.6. Conclusion 340 10.6.1. From a general point of view 340 10.6.2. The use of the method 342 10.6.3. From a research point of view 344 10.6.4. From the railway industry perspective 344 10.6.5. The model and its implementation 346 10.7. Glossary 347 10.8. Bibliography 348 CHAPTER 11. COMBINATION OF FORMAL METHODS FOR CREATING A CRITICAL APPLICATION 353 Philippe COUPOUX 11.1. Introduction 353 11.1.1. A history of the use of formal method in AREVA TA 354 11.2. Use of SCADE 6 355 11.2.1. Reasons for the choice of SCADE 6 355 11.2.2. SCADE 6 in the context of the lifecycle of a software package 356 11.2.3. Organization and development rules of a SCADE 6 model 361 11.2.4. Usage summary SCADE 6 363 11.3. Implementation of the B method 367 11.3.1. The reasons for choosing the B method for the ZC application 367 11.3.2. Positioning the B method in the V cycle of the ZC software 368 11.3.3. B Method Usage Summary 372 11.4. Conclusion 375 11.5. Appendices 376 11.5.1. Appendix 1: SOFTWARE architecture on DRACK platform 376 11.5.2. Appendix 2: detailed description of the approach chosen for the B method 379 11.5.3. General design of the ZC security application 380 11.5.4. Detailed design ZC security application 383 11.5.5. Proof of the formal model 384 11.5.6. Coding of the ZC security application 386 11.5.7. Integration of the ZC security application 387 11.5.8. Tests of the ZC security application 388 11.6 Glossary 388 11.7. Bibliography 389 CHAPTER 12. MATHEMATICAL PROOFS FOR THE NEW YORK SUBWAY 391 Denis SABATIER 12.1. The CBTC of the New York subway Line 7 and the system proof 391 12.2. Formal proof of the system 392 12.2.1. Presentation 392 12.2.2. Benefits 393 12.2.3. Obtaining the first demonstration: organization and communication 397 12.2.4. A method based on exchange 398 12.3. An early insight into the obtained proof 400 12.3.1. The global proof 400 12.3.2. Proof that localization has been correctly achieved 403 12.3.3. Proof of correct braking 404 12.4. Feedback based on experience 406 CONCLUSION 409 GLOSSARY 449 LIST OF AUTHORS 455 INDEX 457
£157.65
Springer Nature Switzerland AG Modeling, Dynamics, Optimization and Bioeconomics IV: DGS VI JOLATE, Madrid, Spain, May 2018, and ICABR, Berkeley, USA, May–June 2017—Selected Contributions
Book SynopsisThis book, following the three published volumes of the book, provides the main purpose to collect research papers and review papers to provide an overview of the main issues, results, and open questions in the cutting-edge research on the fields of modeling, optimization, and dynamics and their applications to biology, economy, energy, industry, physics, psychology and finance. Assuming the scientific relevance of the presenting innovative applications as well as merging issues in these areas, the purpose of this book is to collect papers of the world experts in mathematics, economics, and other applied sciences that is seminal to the future research developments. The majority of the papers presented in this book is authored by the participants in The Joint Meeting 6th International Conference on Dynamics, Games, and Science – DGSVI – JOLATE and in the 21st ICABR Conference. The scientific scope of the conferences is focused on the fields of modeling, optimization, and dynamics and their applications to biology, economy, energy, industry, physics, psychology, and finance. Assuming the scientific relevance of the presenting innovative applications as well as merging issues in these areas, the purpose of the conference is to bring together some of the world experts in mathematics, economics, and other applied sciences that reinforce ongoing projects and establish future works and collaborations.Table of ContentsA. Afsar, F. Martins, Bruno M. P. M. Oliveira, and A. A. Pinto, Immune response model fitting to CD4+ T cell data in lymphocytic choriomeningitis virus LCMV infection.- U. Agyüz, V. Purutçuoglu, E. Purutçuoglu and Y. Ürün, Construction of a New Model to Investigate Breast Cancer Data.- I. Baltas, M. Szczepanski, L. Dopierala, K. Kolodziejczyk, G.-W. Weber and A. N. Yannacopoulos, Optimal Pension Fund Management Under Risk and Uncertainty: The Case Study of Poland.- M. Bujidos-Casado, J. Navío-Marco and B. Rodrigo-Moya, Collaborative Innovation of Spanish SMEs in the European context: A compared study.- G. G. de Castro, A. O. Lopes and G. Mantovani, Haar systems, KMS states on von Neumann algebras and C*-algebras on dynamically defined groupoids and Noncommutative Integration.- C. Çıtak, T. Aksu, Ö. Harputlu and Gerhard-Wilhelm Weber, Mixed Compression Air-Intake Design for High-Speed Transportation.- D. Czerkawski, J. Małecka, G. Wilhelm Weber and B. Kjamili, Social Entrepreneurship Business Models for Handicapped People - Polish & Turkish case study of sharing public goods by doing business.- H. H. Ferreira, A. O. Lopes and E. R. Oliveira, An iterative process for approximating subactions.- A. D. Garcia and M. A. Szybisz, "Beat the gun": The phenomenon of liquidity.- E. Gómez-Escalonilla and Laura Parte, Board Knowledge and Bank Risk-Taking. An International Analysis.- F. Jiménez-Delgado, M. Dolores Reina-Paz, Israel J ThuissardVasallo and David Sanz-Rosa, The shopping experience in virtual sales: A study of the influence of website atmosphere on purchase intention.- Kyung B. Kim and José M. Labeaga, European Mobile Phone Industry: Demand Estimation Using Discrete Random Coefficients Models.- A. O. Lopes and M. Sebastiani, On Bertelson-Gromov Dynamical Morse Entropy, Rogério Martins, Synchronisation of weakly coupled oscillators.- Z. Kamisli Ozturk, Y. Cetin, Y. Isik and Z. I. Erzurum Cicek, Demand Forecasting with Clustering and Artificial Neural Networks Methods: an Application for Stock Keeping Units.- O. Palanci, S.Z. Alparslan Gok and Gerhard-Wilhelm Weber, On the Grey Obligation Rules.- Juan Diego Paredes-Gázquez, Eva Pardo and José Miguel Rodríguez-Fernández, Robustness checks in composite indicators: A responsible approach.- Elena V. Ravve, Zeev Volkovich, Gerhard-Wilhelm Weber, A Logic-Based Approach to Incremental Reasoning on Multi-Agent Systems.
£104.49
