Maths for engineers Books
Nova Science Publishers Inc Uncertainty Quantification: Advances in Research
Book SynopsisIn recent times, polynomial chaos expansion has emerged as a dominant technique to determine the response uncertainties of a system by propagating the uncertainties of the inputs. In this regard, the opening chapter of Uncertainty Quantification: Advances in Research and Applications, an intrusive approach called Galerkin Projection as well as non-intrusive approaches (such as pseudo-spectral projection and linear regression) are discussed.Next, the authors introduce a new methodology to determine the uncertainties of input parameters using CIRCÉ software to overcome the reliance on expert judgment. The goal is to determinate and evaluate the uncertainty bounds for physical models related to reflood model of MARS-KS code Vessel module (coupled with COBRA-TF) using both CIRCÉ and the experimental data of FEBA.Lastly, uncertainties related to rheological model parameters of skeletal muscles are modeled and analyzed, and available data are acquired and fused for hyperelastic constitutive model parameters with Neo-Hookean and Mooney-Rivlin formulations.
£58.39
Nova Science Publishers Inc Advanced Engineering Mathematics and Analysis:
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.
£163.19
Nova Science Publishers Inc Qspr/Qsar Studies By Molecular Descriptors
Book SynopsisThe central problem in QSPR (Quantitative Structure-Property Relationship) I QSAR (Quantitative Structure-Activity Relationship) is to convert chemical structures into molecular descriptors that are relevant to a certain physico-chemical property or biological activity. Although various physico-chemical properties may be subjected to QSPR/QSAR studies, the major application field of these models is drug discovery. Classically, drug discovery mainly relied on chance and massive screening of large libraries of synthesised or natural compounds. By contrast, computer-aided drug design, GADD, is an approach to rational drug design made possible by the recent advances in computational chemistry (in its various fields, such as molecular graphics, quantum chemistry, molecular mechanics, molecular dynamics, library searching, prediction of physicochemical and biological properties) and, of course, in computer science. Many physico-chemical properties can be satisfactorily correlated with the topostructural or topochemical features. Topological indices are among the simplest and efficient descriptors for QSPR/QSAR. In principle, these are mathematical objects, without a precise physical meaning. However, they may express the topological shape or may correlate with the molecular volume or surface area, as is shown in the pages of this book.
£113.04
Nova Science Publishers Inc Generalized Functions in Mathematical Physics:
Book SynopsisThis important book gives an interconnected presentation of some basic ideas, concepts, results of the theory of generalised functions (first of all, in the framework of the theory of distributions) and equations of mathematical physics. A part of the material is given according to the scheme: definition -- theorem -- proof. This scheme is convenient for presenting results in clear and concentrated form. However, it seems reasonable to give a student the possibility not only to study a priori given definitions and proofs of theorems, but also to discover them while considering the problems involved. A series of sections serve this purpose. Moreover, a part of the material is given as exercises and problems.
£113.59
Nova Science Publishers Inc Fractals & Local Order in Polymeric Materials
Book SynopsisFractals & Local Order in Polymeric Materials
£113.59
Nova Science Publishers Inc Numerical Methods of Solving Ill-Posed Problems
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£92.79
Nova Science Publishers Inc Mathematical Physics Research on the Leading Edge
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£80.24
Nova Science Publishers Inc Trends in Mathematical Physics Research
Book SynopsisPhysics and mathematics have always been closely intertwined, with developments in one field frequently inspiring the other. Currently, there are many unsolved problems in physics which will likely require new innovations in mathematical physics. Mathematical physics is concerned with problems in statistical mechanics, atomic and molecular physics, quantum field theory, and, in general, with the mathematical foundations of theoretical physics. This includes such subjects as scattering theory for n bodies, quantum mechanics (both non-relativistic and relativistic), atomic and molecular physics, the existence and properties of the phases of model ferromagnets, the stability of matter, the theory of symmetry and symmetry breaking in quantum field theory (both in general and in concrete models), and mathematical developments in functional analysis and algebra to which such subjects lead. This book presents leading-edge research in this fast-moving field.
£65.24
Nova Science Publishers Inc Nonlinear Operator Theory in Abstract Space &
Book SynopsisThis book primarily deals with non-linear operator theory in topological vector spaces and applications. Recently, non-linear functional analysis has become a main field of mathematics, which has played an important role in physics, mechanics and engineering, operations research and economics and many others for the past few decades. The book presents a survey of some main ideas, concepts, methods and applications in non-linear functional analysis.
£127.99
Nova Science Publishers Inc Advances in Grid Generation
Book SynopsisGrid generation deals with the use of grids (meshes) in the numerical solution of partial differential equations by finite elements, finite volume, finite differences and boundary elements. Grid generation is applied in the aerospace, mechanical engineering and scientific computing fields. This book presents new research in the field.
£999.99
Nova Science Publishers Inc Trends in Soliton Research
Book SynopsisSince their discovery a mere thirty years ago, solitons have been invoked to explain such diverse phenomena as: The long lived ''giant red spot'' in the highly turbulent Jovian atmosphere. The famous Fermi-Pasta-Ulam paradox wherein a nonlinearly coupled lattice of particles does not display the "expected'''' equipartition of energy among available modes. Ion-acoustic waves in a plasma. Energy storage and transfer in proteins via the Davydov soliton. The propagation of short laser pulses in optical fibres over long distances with negligible shape change. This volume presents important research from around the globe.
£999.99
Nova Science Publishers Inc New Trends in Cryptographic Systems
Book SynopsisCryptography is the study of methods to transform information from its original comprehensible form into a scrambled incomprehensible form, such that its content can only be disclosed to some qualified persons. In the past, cryptography helped ensure secrecy in important communications, such as those of spies, military leaders, and diplomats. In recent decades, it has expanded in two main ways: firstly, it provides mechanisms for more than just keeping secrets through schemes like digital signatures, digital cash, etc; secondly, cryptography is used by almost all computer users as it is embedded into the infrastructure for computing and telecommunications. Cryptography ensures secure communications through confidentiality, integrity, authenticity and non-repudiation. Cryptography has evolved over the years from Julius Cesar''s cipher, which simply shifts the letters of the words a fixed number of times, to the sophisticated RSA algorithm, which was invented by Ronald L. Rivest, Adi Shamir and Leonard M. Adleman, and the elegant AES cipher (Advanced Encryption Standard), which was invented by Joan Daemen and Vincent Rijmen. The need for fast but secure cryptographic systems is growing bigger. Therefore, dedicated hardware for cryptography is becoming a key issue for designers. With the spread of reconfigurable hardware such as FPGAs, embedded cryptographic hardware became cost-effective. Nevertheless, it is worthy to note that nowadays, even hardwired cryptographic algorithms are not safe. Attacks based on power consumption and electromagnetic Analysis, such as SPA, DPA and EMA have been successfully used to retrieve secret information stored in cryptographic devices. Besides performance in terms of area and throughput, designer of embedded cryptographic hardware must worry about the leakage of their implementations. The content of this book is divided into three main parts, which are focused on new trends in cryptographic hardware, arithmetic and factoring.
£999.99
Nova Science Publishers Inc Techniques of Scientific Computing for the Energy
Book SynopsisResearch and development in scientific computing and computational science has considerably increased the power of numerical simulation. Engineers and researchers are now able to solve large and complex problems which were impossible to solve in the past. This new book presents some techniques, methods and algorithms for solving engineering problems arising in energy and environment applications.
£83.29
Nova Science Publishers Inc Advanced Mathematics for Engineers with
Book Synopsis
£63.74
New Age International (UK) Ltd Fundamentals of Optimum Design in Engineering
Book Synopsis
£38.00
Imperial College Press Mathematics Of Natural Catastrophes, The
Book SynopsisThis is a unique book about natural catastrophes, focusing on the mathematical aspects of these phenomena. Although academic in style and didactic in purpose, it is practical in the treatment of the diverse issues covered, which range from hazard warning and forecasting to engineering design criteria and insurance loss estimation. Addressing as it does many mathematical topics not found together in a single volume, the book should be of value to all those with a quantitative educational interest in or professional concern for natural catastrophes.Table of ContentsA taxonomy of natural hazards; a sense of scale; a measure of uncertainty; a matter of time; forecasting; deciding to warn; a question of design; damage estimation; catastrophe cover; financial issues; the third millennium.
£90.25
New Age International (UK) Ltd Analysis and Design of Control Systems Using
Book Synopsis
£38.00
De Gruyter Scientific Computing: For Scientists and
Book Synopsis Scientific Computing for Scientists and Engineers is designed to teach undergraduate students relevant numerical methods and required fundamentals in scientific computing. Most problems in science and engineering require the solution of mathematical problems, most of which can only be done on a computer. Accurately approximating those problems requires solving differential equations and linear systems with millions of unknowns, and smart algorithms can be used on computers to reduce calculation times from years to minutes or even seconds. This book explains: How can we approximate these important mathematical processes? How accurate are our approximations? How efficient are our approximations? Scientific Computing for Scientists and Engineers covers: An introduction to a wide range of numerical methods for linear systems, eigenvalue problems, differential equations, numerical integration, and nonlinear problems; Scientific computing fundamentals like floating point representation of numbers and convergence; Analysis of accuracy and efficiency; Simple programming examples in MATLAB to illustrate the algorithms and to solve real life problems; Exercises to reinforce all topics.
£20.00
PHI Learning Engineering Mathematics: v. 1
Book Synopsis
£999.99
Prentice-Hall of India Pvt.Ltd Engineering Mathematics: Volume 2
Book Synopsis
£999.99
Laxmi Publications A Textbook of Engineering Mathematics: For 1st
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£11.99
Discovery Publishing House Engineering Mathematics: Semester 2
Book Synopsis
£999.99
World Scientific Publishing Co Pte Ltd Nonsymmetric Fields Theory And Its Applications
Book SynopsisThe book is devoted to a unification of two major principles of invariance in physics (local gauge and local coordinate invariance) and reducing both principles to the second one in a more than 4-dimensional world. The additional dimensions cannot be directly observed. Thus it is akin to a Kaluza-Klein or Jordan-Thiry point of view. The author develops these ideas using nonriemannian geometry from Einstein's Unified Field Theory. The theory uses nonsymmetric right-invariant metric defined on a principal fibre bundle (a gauge bundle). The book proceeds in three stages:“Interference effects” between gravity (described by NGT) and gauge field (including electromagnetic field) which appeared due to nonriemannian geometry in the theory and its physical consequences were discovered. Some applications have been pointed out.
£51.30
World Scientific Publishing Co Pte Ltd Differential Operations Of Infinite Order With
Book SynopsisThis book is devoted to the theory of infinite-order linear and nonlinear differential operators with several real arguments and their applications to problems of partial differential equations and numerical analysis.Part I develops the theory of pseudodifferential operators with real analytic symbols, the local representatives of which are linear differential operators of infinite order acting in the spaces of basic and generalized functions based on the duality of the spaces of real analytic functions and functionals. Applications to a variety of problems of PDEs and numerical analysis are given. Part II is devoted to the theory of Sobolev-Orlicz spaces of infinite order and the solvability of nonlinear partial differential equations with arbitrary nonlinearities.Table of ContentsPart 1 Preliminaries: Convolution of Distributions; Fourier Transforms of Distributions; Entire Functions of Exponential Type that are Bounded on Rn; The Dirichlet Kernels; Markov Type Theorems; The Second Interpolation Method of Bernstein; Orlicz Classes and Orlicz Spaces. Part 2 Pseudodifferential Operators with Real Analytic Symbols: The Space of Test Functions in a Neighbourhood of Zero; The Differential Operators of Infinite Order. Part 3 Applications to Pseudodifferential Equations: Boundary-Value Problems; Multi-Dimensional Integral Equations of the First Kind with Entire Kernel. Part 4 Approximation Methods: Approximating the Symbols by Algebraic Polynomials; Approximating the Symbols by Trigonometric Polynomials; Approximate the Data by Sinc Functions. Part 5 Mollification Methods: The Heat Equation Backwards in Time; The Cauchy Problem for the Laplace Equation; The Noncharacteristic Cauchy Problem for Parabolic Equations. Part 6 Sobolev-Orlicz Spaces of Infinite Order: Limits of the Monotone Sequence of Banach Spaces; The Nontriviality of Sobolov-Orlicz Spaces of Infinite Order; Embeddings of Sobolev-Orlicz Spaces of Infinite Order. Part 7 Nonlinear Differential Equations of Infinite Order: Elliptic Boundary Value Problems of Infinite Order. (Part contents).
£57.95
World Scientific Publishing Co Pte Ltd Bifurcations And Chaos In Piecewise-smooth
Book SynopsisTechnical problems often lead to differential equations with piecewise-smooth right-hand sides. Problems in mechanical engineering, for instance, violate the requirements of smoothness if they involve collisions, finite clearances, or stick-slip phenomena. Systems of this type can display a large variety of complicated bifurcation scenarios that still lack a detailed description.This book presents some of the fascinating new phenomena that one can observe in piecewise-smooth dynamical systems. The practical significance of these phenomena is demonstrated through a series of well-documented and realistic applications to switching power converters, relay systems, and different types of pulse-width modulated control systems. Other examples are derived from mechanical engineering, digital electronics, and economic business-cycle theory.The topics considered in the book include abrupt transitions associated with modified period-doubling, saddle-node and Hopf bifurcations, the interplay between classical bifurcations and border-collision bifurcations, truncated bifurcation scenarios, period-tripling and -quadrupling bifurcations, multiple-choice bifurcations, new types of direct transitions to chaos, and torus destruction in nonsmooth systems.In spite of its orientation towards engineering problems, the book addresses theoretical and numerical problems in sufficient detail to be of interest to nonlinear scientists in general.Table of ContentsOn the Dynamics of Nonlinear Systems; Basic Concepts and Methods; Relay Control Systems; Bifurcations and Chaotic Oscillations in Relay Systems; Chaotic Oscillations in Pulse-Width Modulated Systems; Border-Collision Bifurcations on a Two-Dimensional Torus; Border-Collision Bifurcations in a Management System.
£133.95
World Scientific Publishing Co Pte Ltd Partial Differential Equations: An Introduction
Book SynopsisThis textbook is a self-contained introduction to partial differential equations.It has been designed for undergraduates and first year graduate students majoring in mathematics, physics, engineering, or science.The text provides an introduction to the basic equations of mathematical physics and the properties of their solutions, based on classical calculus and ordinary differential equations. Advanced concepts such as weak solutions and discontinuous solutions of nonlinear conservation laws are also considered.
£77.90
World Scientific Publishing Co Pte Ltd Mathematics Of Physics And Engineering
Book SynopsisAimed at scientists and engineers, this book is an exciting intellectual journey through the mathematical worlds of Euclid, Newton, Maxwell, Einstein, and Schrodinger-Dirac.While similar books present the required mathematics in a piecemeal manner with tangential references to the relevant physics and engineering, this textbook serves the interdisciplinary needs of engineers, scientists and applied mathematicians by unifying the mathematics and physics into a single systematic body of knowledge but preserving the rigorous logical development of the mathematics.The authors take an unconventional approach by integrating the mathematics with its motivating physical phenomena and, conversely, by showing how the mathematical models predict new physical phenomena.Table of ContentsEuclidean Geometry and Vectors; Vector Analysis and Classical and Relativistic Mechanics; Vector Analysis and Classical Electromagnetic Theory; Elements of Complex Analysis; Elements of Fourier Analysis; Partial Differential Equations of Mathematical Physics; Further Developments and Special Topics.
£95.40
World Scientific Publishing Co Pte Ltd Mathematical Methods In Scattering Theory And
Book SynopsisThis volume comprises the papers presented at the Seventh International Workshop on Scattering Theory and Biomedical Engineering, focusing on the hottest topics in scattering theory and biomedical technology.All the contributions are state-of-the-art and have been fully reviewed. The authors are recognized as being eminent both in their field and in the science community.Table of ContentsA Method to Solve Inverse Scattering Problems for Electromagnetic Fields in Chiral Media (C Athanasiadis & E Kardasi); Nonlinear Integral Equations in Inverse Obstacle Scattering (O Ivanyshyn & R Kres); Homogenization in Chiral Elasticity (G Barbatis & I G Stratis); Shape Control and Damage Identification of Piezoelectric Smart Beams Using Finite Element Modelling and Genetic Optimization (E P Hadjigeorgiou et al.); A Fast Numerical Method for a Simplified Phase Field Model (C A Sfyrakis & V A Dougalis); On the Hidden Electromagnetic Activity of the Brain (G Dassios); A Decision Tree Based Approach for the Identification of Ischaemic Beats in ECG Recordings (T P Exarchos et al.); An Automatic Microcalcification Detection System Utilizing Mammorgraphic Enhancement Techniques (A N Papadopoulos & D I Fotiadis); Multidimensional Cardiac Models (D G Tsalikakis et al.); Mobile and Electronic Medical Support and Education for Dyslexic Students (M Virvou & E Alepis); and other papers.
£999.99
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.
£33.29
Cambridge University Press Nonlinear Solid Mechanics for Finite Element
Book SynopsisDesigning engineering components that make optimal use of materials requires consideration of the nonlinear static and dynamic characteristics associated with both manufacturing and working environments. The modeling of these characteristics can only be done through numerical formulation and simulation, which requires an understanding of both the theoretical background and associated computer solution techniques. By presenting both the nonlinear solid mechanics and the associated finite element techniques together, the authors provide, in the first of two books in this series, a complete, clear, and unified treatment of the static aspects of nonlinear solid mechanics. Alongside a range of worked examples and exercises are user instructions, program descriptions, and examples for the FLagSHyP MATLAB computer implementation, for which the source code is available online. While this book is designed to complement postgraduate courses, it is also relevant to those in industry requiring anTable of Contents1. Introduction; 2. Mathematical preliminaries; 3. Analysis of three-dimensional truss structures; 4. Kinematics; 5. Stress and equilibrium; 6. Hyperelasticity; 7. Large elasto-plastic deformations; 8. Linearized equilibrium equations; 9. Discretization and solution; 10. Computer implementation; Bibliography; Index.
£60.99
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.
£30.44
Society for Industrial & Applied Mathematics,U.S. Mastering Frequency Domain Techniques for the
Book SynopsisIn many dynamical systems, time delays arise because of the time it takes to measure system states, perceive and evaluate events, formulate decisions, and act on those decisions. The presence of delays may lead to undesirable outcomes; without an engineered design, the dynamics may underperform, oscillate, and even become unstable. How to study the stability of dynamical systems influenced by time delays is a fundamental question. Related issues include how much time delay the system can withstand without becoming unstable and how to change system parameters to render improved dynamic characteristics, utilize or tune the delay itself to improve dynamical behavior, and assess the stability and speed of response of the dynamics. Mastering Frequency Domain Techniques for the Stability Analysis of LTI Time Delay Systems addresses these questions for linear time-invariant (LTI) systems with an eigenvalue-based approach built upon frequency domain techniques. Readers will find key results from the literature, including all subtopics for those interested in deeper exploration. The book presents step-by-step demonstrations of all implementations—including those that require special care in mathematics and numerical implementation—from the simpler, more intuitive ones in the introductory chapters to the more complex ones found in the later chapters. Maple and MATLAB code is available from the author’s website.This multipurpose book is intended for graduate students, instructors, and researchers working in control engineering, robotics, mechatronics, network control systems, human-in-the-loop systems, human-machine systems, remote control and tele-operation, transportation systems, energy systems, and process control, as well as for those working in applied mathematics, systems biology, and physics. It can be used as a primary text in courses on stability and control of time delay systems and as a supplementary text in courses in the above listed domains.
£64.60
New Academic Science Ltd Numerical Methods For Engineers
Book Synopsis
£33.25
PHI Learning Computer Orientated Numerical Methods
Book SynopsisThsi book is a concise presentation of the basic concepts used in evolving numerical methods with special emphasis on developing computional algorithms for solving problems in algebra and calculus on a computer.
£999.99
World Scientific Publishing Co Pte Ltd Smooth Invariant Manifolds And Normal Forms
Book SynopsisThis book deals with the qualitative theory of dynamical systems and is devoted to the study of flows and cascades in the vicinity of a smooth invariant manifold. Its main purpose is to present, as completely as possible, the basic results concerning the existence of stable and unstable local manifolds and the recent advancements in the theory of finitely smooth normal forms of vector fields and diffeomorphisms in the vicinity of a rest point and a periodic trajectory. A summary of the results obtained so far in the investigation of dynamical systems near an arbitrary invariant submanifold is also given.Table of ContentsTopological properties of flows and cascades in the vicinity of a rest point and a periodic trajectory; finitely smooth normal forms of vector fields and diffeo-morphisms; linear extensions of dynamical systems; invariant subbundles of weakly non-linear extensions; invariant manifolds; normal forms in the vicinity of an invariant manifold.
£999.99
World Scientific Publishing Co Pte Ltd Undergraduate Introduction To Financial
Book SynopsisThis textbook provides an introduction to financial mathematics and financial engineering for undergraduate students who have completed a three- or four-semester sequence of calculus courses.It introduces the Theory of Interest, discrete and continuous random variables and probability, stochastic processes, linear programming, the Fundamental Theorem of Finance, option pricing, hedging, and portfolio optimization. The reader progresses from a solid grounding in multi-variable calculus through a derivation of the Black-Scholes equation, its solution, properties, and applications.Table of ContentsThe Theory of Interest; Discrete Probability; Normal Random Variables and Probability; The Arbitrage Theorem; Random Walks and Brownian Motion; Forwards and Futures; Derivatives of Black-Scholes Option Prices; Hedging; Optimizing Portfolios; American Options.
£57.95
Oxford University Press Applying Maths in the Chemical and Biomolecular
Book SynopsisApplying Maths in the Chemical and Biomolecular Sciences uses an extensive array of examples to demonstrate how mathematics is applied to probe and understand chemical and biological systems. It also embeds the use of software, showing how the application of maths and use of software now go hand-in-hand.Trade ReviewIt is particularly useful for Scientists applying mathematical techniques to their analyses. However, professionals in other fields (e.g. Economics and Finance) will also find the mathematical techniques highly useful and relevant. I myself am an Economist, and found the mathematical content very good, and the scientific applications very illuminating. * reviewer on Amazon.com *Very well written and the perfect resource for self study. * The Higher Education Academy Physical Sciences Centre *Table of ContentsAPPENDIX 1: A MAPLE LANGUAGE CRIB
£47.49
S Chand & Co Ltd Advanced Engineering Mathematics
Book SynopsisAdvanced Engineering Mathematics by H. K. Dass covers topics like Partial Differentiation, Differential Equations, Vectors, Matrices, Complex Numbers, Statistics, Probability, Fourier Series, Laplace Transforms, Z-Transforms, Fuzzy Sets, Infinite Series, Tensor Analysis, Calculus of Variations, and Linear Programming for engineering students.
£31.44
Elsevier - Health Sciences Division Advanced Mathematics for Engineering Students
Book SynopsisTrade Review"Overall, the reviewer considers this text to offer a good and useful coverage of advanced mathematics for engineers. It gives useful and succinct coverage of the topics included." --IEEE PulseTable of Contents1. Prologue 2. Ordinary Differential Equations 3. Laplace and Fourier Transform Methods 4. Matrices and Linear Systems of Equations 5. Analytical Methods for Solving Partial Differential Equations 6.Difference Numerical Methods for Differential Equations 7. Finite Element Technique 8. Treatment of Experimental Results 9. Numerical Analysis 10. Introduction to Complex Analysis 11. Nondimensionalisation 12. Nonlinear Differential Equations 13. Integral Equations 14. Calculus of Variations
£999.99
Engineering Analysis
Book Synopsis
£999.99
Bloomsbury Publishing (UK) Guide to Scientific Computing Mathematical Guides
Book SynopsisPETER TURNER is a Professor in the Department of Mathematics at the US Naval Academy in Annapolis
£999.99
Springer-Verlag New York Inc. Theory and Practice of Finite Elements
Book SynopsisThis text presenting the mathematical theory of finite elements is organized into three main sections. The first part develops the theoretical basis for the finite element methods, emphasizing inf-sup conditions over the more conventional Lax-Milgrim paradigm.Trade ReviewFrom the reviews: "This book represents an excellent compendium of information about the mathematics and numerical analysis of the finite … . Its user-ability, for the writing … is guaranteed through the inclusion of a discussion … . will be a useful text for advanced mathematics/engineering graduates who wish to learn about … good background information for the engineer who will eventually apply the finite element method to practical real-world problems. In addition, it will be an excellent text for the mathematics graduate … . (R.S.Anderssen, Mathematical Reviews, 2005) "This book is an expanded version of Lecture Notes published by the authors in French … . It has been used as a textbook for graduate finite element courses … . The book can be used in several courses in Mathematics, Computer Science, and Engineering programs. The authors offer suggestions for course titles and syllabi. … The book is organized into three parts. … Many bibliographic entries to the extensive literature on finite elements are given throughout the book." (I.N. Katz, Zentralblatt Math, Vol. 1059 (10), 2005) "A relative complete coverage of issues concerning finite element methodology based soundly on theory. … this is a self-contained presentation which goes relatively far regarding the questions of stability, approximation and error estimation and demonstrates the use of the rather abstract concepts in concrete situations. The presentation is suited for the mathematician and also for applied scientists should they be ready to digest the more abstract concepts which, however, prove very useful understanding how to obtain a working code for the problem at hand." (H. Muthsam, Monatshefte für Mathematik, Vol. 148 (2), 2006) "Overall, the authors have largery succeeded in giving a rather comprehensive exposition of the finite element method and its challenges, up to some current research topics, in less than 500 pages, yet without taking any unreasonable shortcut, by no means an easy task." (SIAM Review)Table of ContentsI Theoretical Foundations.- 1 Finite Element Interpolation.- 2 Approximation in Banach Spaces by Galerkin Methods.- II Approximation of PDEs.- 3 Coercive Problems.- 4 Mixed Problems.- 5 First-Order PDEs.- 6 Time-Dependent Problems.- III Implementation.- 7 Data Structuring and Mesh Generation.- 8 Quadratures, Assembling, and Storage.- 9 Linear Algebra.- 10 A Posteriori Error Estimates and Adaptive Meshes.- IV Appendices.- A Banach and Hilbert Spaces.- A.1 Basic Definitions and Results.- A.2 Bijective Banach Operators.- B Functional Analysis.- B.1 Lebesgue and Lipschitz Spaces.- B.2 Distributions.- B.3 Sobolev Spaces.- Nomenclature.- References.- Author Index.
£82.49
Springer-Verlag New York Inc. Mathematical Problems in Image Processing
Book SynopsisForeword.- Preface to the Second Edition.- Preface.- Guide to the Main Mathematical Concepts and their Application.- Notation and Symbols.- Introduction.- Mathematical Preliminaries.- Image Restoration.- The Segmentation Problem.- Other Challenging Applications.- A Introduction to Finite Difference Methods.- B Experiment Yourself!- References.- Index.Trade ReviewFrom the reviews: (Selected by the author): "Mathematical Problems in Image Processing is a major, elegant, and unique contribution to the applied mathematics literature, oriented toward applications in image processing and computer vision.... Researchers and practitioners working in the field will benefit by adding this book to their personal collection. Students and instructors will benefit by using this book as a graduate course textbook." Luminita VeseUniversity of California at Los Angeles (Selected by the author): "The Mathematician -- and he doesn't need to be a 'die-hard' applied mathematician -- will love it because there are all these spectacular applications of nontrivial mathematical techniques and he can even find some open theoretical questions. The numerical analyst will discover many challenging problems and implementations. The image processor will be an eager reader because the book provides all the mathematical elements, including most of the proofs.... Both content and typography are a delight. I can recommend the book warmly for theoretical and applied researchers." Adhemar Bultheel MATHEMATICAL REVIEWS "The authors have substantially contributed to many aspects of the subject…The level of the book is advanced, and the exposition very clear, developed in depth, and to some extent self-contained. The proofs of the main theorems are usually given in detail; when necessary there is also a precise reference to the ample literature on the specific topic. This book will certainly interest both mathematicians (some interesting, still open theoretical questions there are highlighted) and researchers in computer vision…The books substantial and up-to-date body for reference is a detailed guide to the literature on the many aspects of image processing." G. Aubert and P. Kornprobst Mathematical Problems in Image Processing Partial Differential Equations and the Calculus of Variations "This book is devoted to a detailed presentation of several aspects of mathematical problems in image processing . . . The authors have substantially contributed to many aspects of their subject . . . The level of the book is advanced, and the to some extent self-contained . . . This book will certainly interest both mathematicians (some interesting, still open theoretical questions here are highlighted) and researchers in computer vision."—MATHEMATICAL REVIEWS From the reviews of the second edition: "The book is devoted to the mathematical treatment of several problems in image processing, with particular attention to the methods involving partial differential equations and variational analysis … . This second edition has the same goals, and the spirit in which the volume is written will again let it be a reference for both the mathematical and the computer vision communities. Besides the natural updating of the existing chapters, this second edition presents some new material … ." (Giuseppe Buttazzo, Zentralblatt MATH, Vol. 1110 (12), 2007)Table of ContentsMathematical Preliminaries.- Image Restoration.- The Segmentation Problem.- Other Challenging Applications.
£119.99
John Wiley & Sons Inc Handbook of Applied Algorithms
Book SynopsisDiscover the benefits of applying algorithms to solve scientific, engineering, and practical problems Providing a combination of theory, algorithms, and simulations, Handbook of Applied Algorithms presents an all-encompassing treatment of applying algorithms and discrete mathematics to practical problems in hot application areas, such as computational biology, computational chemistry, wireless networks, and computer vision. In eighteen self-contained chapters, this timely book explores: * Localized algorithms that can be used in topology control for wireless ad-hoc or sensor networks * Bioinformatics algorithms for analyzing data * Clustering algorithms and identification of association rules in data mining * Applications of combinatorial algorithms and graph theory in chemistry and molecular biology * Optimizing the frequency planning of a GSM network using evolutioTable of ContentsPreface. Abstracts. Contributors. 1. Generating All and Random Instances of A combinatorial Object (Ivan Stojmenovic) 2. Backtracking and Isomorph-Free Generation of Polyhexes (Lucia Moura and Ivan Stojmenovic) 3. Graph Theoretic Models in Chemistry and Molecular Biology (Debra Knisley and Jeff Knisley) 4. Algorithmic Methods for the Analysis of Gene Expression Data (Hongbo Xie, Uros Midic, Slobodan Vucetic, and Zoran Obradovic) 5. Algorithms of Reaction-Diffusion Computing (Andrew Adamatzky) 6. Data Mining Algorithms I: Clustering (Dan A. Simovici) 7. Data Mining Algorithms II: Frequent Item Sets (Dan A. Simovici) 8. Algorithms for Data Streams (Camil Demetrescu and Irene Finocchi) 9. Applying Evolutionary Algorithms to Solve the Automatic Frequency Planning Problem (Francisco Luna, Enrique Alba, Antonio J. Nero, Patrick Nauru, and Salvador Pedraza) 10. Algorithmic Game Theory and Application s(Marios Mavronicolas, Vicky Papdopoulou, and Paul Spirakis) 11. Algorithms for Real-Time Object Detection in Images (Milos Stojmenovic) 12. 2D Shape Measures for Computer Vision (Paul L. Rosin and Jovisa Zunic) 13. Cryptographic Algorithms (Binal Roy and Amiya Nayak) 14. Secure Communication in Distributed Sensor Networks (DSN) (Subhamoy Maitra and Bimal Roy) 15. Localized Topology Control Algorithms for Ad Hoc and Sensor Networks (Hannes Frey and David Simplot-Ryl) 16. A Novel Admission Control for Multimedia LEO Satellite Networks (Syed R. Rizvi, Stephan Olariu, and Mona E. Rizvi) 17. Resilient Recursive Routing in Communication Networks (Costas C. Constantinou, Alexander S. Stepanenko, Theodoros N. Arvanitis, Kevin J. Baughan, and Bin Liu) 18. Routing Algorithms on WDM Optical Networks (Qian-Ping Gu) Index.
£110.66
John Wiley & Sons Inc Risk Assessment in Geotechnical Engineering
Book SynopsisThe increasing sophistication of buildings and bridges demands new analytical techniques. Reliability-based design is a well established technique in the structural and mechanical engineering communities that is now gaining momentum among geotechnical engineers.Trade Review"The publication presents an examination of the theories and methodologies available for risk assessment in geotechnical engineering, spanning the full range from established single-variable and “first order” methods to the most recent, advanced numerical developments. In response to the growing application of LRFD methodologies in geotechnical design, coupled with increased demand for risk assessments by clients ranging from regulatory agencies to insurance companies, the authors have introduced an innovative reliability-based risk assessment method, the Random Finite Element Method (RFEM). The authors have spent more than fifteen years developing this statistically based method for modeling the real spatial variability of soils and rocks." (MCEER, Information Service, January 5, 2009)Table of ContentsPreface. Acknowledgements. PART 1: THEORY. Chapter 1: Review of Probability Theory. 1.1 Introduction. 1.2 Basic Set Theory. 1.3 Probability. 1.4 Conditional Probability. 1.5 Random Variables and Probability Distributions. 1.6 Measures of Central Tendency, Variability, and Association. 1.7 Linear Combinations of Random Variables. 1.8 Functions of Random Variables. 1.9 Common Discrete Probability Distributions. 1.10 Common Continuous Probability Distributions. 1.11 Extreme-Value Distributions. Chapter2: Discrete random Processes. 2.1 Introduction. 2.2 Discrete-Time, Discrete-State Markov Chains. 2.3 Continuous-Time Markov Chains. 2.4 Queueing Models. Chapter 3: Random Fields. 3.1 Introduction. 3.2 Covariance Function. 3.3 Spectral Density Function. 3.4 Variance Function. 3.5 Correlation Length. 3.6 Some Common Models. 3.7 Random Fields in Higher Dimensions. Chapter 4: Best Estimates, Excursions, and Averages. 4.1 Best Linear Unbiased Estimation. 4.2 Threshold Excursions in One Dimension. 4.3 Threshold Excursions in Two Dimensions. 4.4 Averages. Chapter 5: Estimation. 5.1 Introduction. 5.2 Choosing a Distribution. 5.3 Estimation in Presence of Correlation. 5.4 Advanced Estimation Techniques. Chapter 6: Simulation. 6.1 Introduction. 6.2 Random-Number Generators. 6.3 Generating Nonuniform Random Variables. 6.4 Generating Random Fields. 6.5 Conditional Simulation of Random Fields. 6.6 Monte carlo Simulation. Chapter 7: Reliability-Based Design. 7.1 Acceptable Risk. 7.2 Assessing Risk. 7.3 Background to Design Methodologies. 7.4 Load and Resistance Factor Design. 7.5 Going Beyond Calibration. 7.6 Risk-Based Decision making. PART 2: PRACTICE. Chapter 8: Groundwater Modeling. 8.1 Introduction. 8.2 Finite-Element Model. 8.3 One-Dimensional Flow. 8.4 Simple Two-Dimensional Flow. 8.5 Two-Dimensional Flow Beneath Water-Retaining Structures. 8.6 Three-Dimensional Flow. 8.7 Three Dimensional Exit Gradient Analysis. Chapter 9: Flow Through Earth Dams. 9.1 Statistics of Flow Through Earth Dams. 9.2 Extreme Hydraulic Gradient Statistics. Chapter 10: Settlement of Shallow Foundations. 10.1 Introduction. 10.2 Two-Dimensional Probabilistic Foundation Settlement. 10.3 Three-Dimensional Probabilistic Foundation Settlement. 10.4 Strip Footing Risk Assessment. 10.5 Resistance Factors for Shallow-Foundation Settlement Design. Chapter 11: Bearing Capacity. 11.1 Strip Footings on c-ø Soils. 11.2 Load and Resistance Factor Design of Shallow Foundations. 11.3 Summary. Chapter 12: Deep Foundations. 12.1 Introduction. 12.2 Random Finite-Element Method. 12.3 Monte Carlo Estimation of Pile Capacity. 12.4 Summary. Chapter 13: Slope Stability. 13.1 Introduction. 13.2 Probabilistic Slope Stability Analysis. 13.3 Slope Stability Reliability Model. Chapter 14: Earth Pressure. 14.1 Introduction. 14.2 Passive Earth Pressures. 14.3 Active Earth Pressures: Retaining Wall Reliability. Chapter 15: Mine Pillar Capacity. 15.1 Introduction. 15.2 Literature. 15.3 Parametric Studies. 15.4 Probabilistic Interpretation. 15.5 Summary. Chapter 16: Liquefaction. 16.1 Introduction. 16.2 Model Size: Soil Liquefaction. 16.3 Monte Carlo Analysis and Results. 16.4 Summary PART 3: APPENDIXES. APPENDIX A: PROBABILITY TABLES. A.1 Normal Distribution. A.2 Inverse Student t-Distribution. A.3 Inverse Chi-Square Distribution APPENDIX B: NUMERICAL INTEGRATION. B.1 Gaussian Quadrature. APPENDIX C. COMPUTING VARIANCES AND CONVARIANCES OF LOCAL AVERAGES. C.1 One-Dimensional Case. C.2 Two-Dimensional Case C.3 Three-Dimensional Case. Index.
£128.66
John Wiley & Sons Inc Technical Mathematics
Book Synopsis* This textbook has been in constant use since 1980, and this edition has been rewritten to be even cleaner and clearer and new features have been introduced. * The authors continue to provide real-world, technical applications that promote intuitive reader learning.Table of Contents1 Review of Numerical Computation 1 1–1 The Real Numbers 2 1–2 Addition and Subtraction 9 1–3 Multiplication 15 1–4 Division 19 1–5 Powers and Roots 23 1–6 Combined Operations 29 1–7 Scientific Notation and Engineering Notation 32 1–8 Units of Measurement 41 1–9 Percentage 51 Chapter 1 Review Problems 59 2 Introduction to Algebra 62 2–1 Algebraic Expressions 63 2–2 Adding and Subtracting Polynomials 67 2–3 Laws of Exponents 72 2–4 Multiplying a Monomial by a Monomial 80 2–5 Multiplying a Monomial and a Multinomial 83 2–6 Multiplying a Binomial by a Binomial 86 2–7 Multiplying a Multinomial by a Multinomial 88 2–8 Raising a Multinomial to a Power 90 2–9 Dividing a Monomial by a Monomial 92 2–10 Dividing a Polynomial by a Monomial 95 2–11 Dividing a Polynomial by a Polynomial 98 Chapter 2 Review Problems 101 3 Simple Equations and Word Problems 103 3–1 Solving a Simple Equation 104 3–2 Solving Word Problems 113 3–3 Uniform Motion Applications 118 3–4 Money Problems 121 3–5 Applications Involving Mixtures 123 3–6 Statics Applications 127 3–7 Applications to Work, Fluid Flow, and Energy Flow 129 Chapter 3 Review Problems 133 4 Functions 136 4–1 Functions and Relations 137 4–2 More on Functions 144 Chapter 4 Review Problems 154 5 Graphs 156 5–1 Rectangular Coordinates 157 5–2 Graphing an Equation 161 5–3 Graphing a Function by Calculator 164 5–4 The Straight Line 167 5–5 Solving an Equation Graphically 172 Chapter 5 Review Problems 173 6 Geometry 175 6–1 Straight Lines and Angles 176 6–2 Triangles 180 6–3 Quadrilaterals 187 6–4 The Circle 190 6–5 Polyhedra 196 6–6 Cylinder, Cone, and Sphere 201 Chapter 6 Review Problems 205 7 Right Triangles and Vectors 207 7–1 The Trigonometric Functions 208 7–2 Solution of Right Triangles 212 7–3 Applications of the Right Triangle 216 7–4 Angles in Standard Position 221 7–5 Introduction to Vectors 222 7–6 Applications of Vectors 226 Chapter 7 Review Problems 229 8 Oblique Triangles and Vectors 231 8–1 Trigonometric Functions of Any Angle 232 8–2 Finding the Angle When the Trigonometric Function Is Known 236 8–3 Law of Sines 240 8–4 Law of Cosines 246 8–5 Applications 251 8–6 Non-Perpendicular Vectors 255 Chapter 8 Review Problems 260 9 Systems of Linear Equations 263 9–1 Systems of Two Linear Equations 264 9–2 Applications 270 9–3 Other Systems of Equations 279 9–4 Systems of Three Equations 284 Chapter 9 Review Problems 290 10 Matrices and Determinants 292 10–1 Introduction to Matrices 293 10–2 Solving Systems of Equations by the Unit Matrix Method 297 10–3 Second-Order Determinants 302 10–4 Higher-Order Determinants 308 Chapter 10 Review Problems 316 11 Factoring and Fractions 319 11–1 Common Factors 320 11–2 Difference of Two Squares 323 11–3 Factoring Trinomials 326 11–4 Other Factorable Expressions 333 11–5 Simplifying Fractions 335 11–6 Multiplying and Dividing Fractions 340 11–7 Adding and Subtracting Fractions 344 11–8 Complex Fractions 349 11–9 Fractional Equations 352 11–10 Literal Equations and Formulas 355 Chapter 11 Review Problems 360 12 Quadratic Equations 363 12–1 Solving a Quadratic Equation Graphically and by Calculator 364 12–2 Solving a Quadratic by Formula 368 12–3 Applications 372 Chapter 12 Review Problems 377 13 Exponents and Radicals 379 13–1 Integral Exponents 380 13–2 Simplification of Radicals 385 13–3 Operations with Radicals 392 13–4 Radical Equations 398 Chapter 13 Review Problems 403 14 Radian Measure, Arc Length, and Rotation 405 14–1 Radian Measure 406 14–2 Arc Length 413 14–3 Uniform Circular Motion 416 Chapter 14 Review Problems 420 15 Trigonometric, Parametric, and Polar Graphs 422 15–1 Graphing the Sine Wave by Calculator 423 15–2 Manual Graphing of the Sine Wave 430 15–3 The Sine Wave as a Function of Time 435 15–4 Graphs of the Other Trigonometric Functions 441 15–5 Graphing a Parametric Equation 448 15–6 Graphing in Polar Coordinates 452 Chapter 15 Review Problems 459 16 Trigonometric Identities and Equations 461 16–1 Fundamental Identities 462 16–2 Sum or Difference of Two Angles 469 16–3 Functions of Double Angles and Half-Angles 474 16–4 Evaluating a Trigonometric Expression 481 16–5 Solving a Trigonometric Equation 484 Chapter 16 Review Problems 489 17 Ratio, Proportion, and Variation 491 17–1 Ratio and Proportion 492 17–2 Similar Figures 497 17–3 Direct Variation 501 17–4 The Power Function 505 17–5 Inverse Variation 509 17–6 Functions of More Than One Variable 513 Chapter 17 Review Problems 518 18 Exponential and Logarithmic Functions 521 18–1 The Exponential Function 522 18–2 Logarithms 532 18–3 Properties of Logarithms 539 18–4 Solving an Exponential Equation 547 18–5 Solving a Logarithmic Equation 554 Chapter 18 Review Problems 560 19 Complex Numbers 562 19–1 Complex Numbers in Rectangular Form 563 19–2 Complex Numbers in Polar Form 568 19–3 Complex Numbers on the Calculator 572 19–4 Vector Operations Using Complex Numbers 575 19–5 Alternating Current Applications 578 Chapter 19 Review Problems 584 20 Sequences, Series, and the Binomial Theorem 586 20–1 Sequences and Series 587 20–2 Arithmetic and Harmonic Progressions 593 20–3 Geometric Progressions 600 20–4 Infinite Geometric Progressions 604 20–5 The Binomial Theorem 607 Chapter 20 Review Problems 614 21 Introduction to Statistics and Probability 617 21–1 Definitions and Terminology 618 21–2 Frequency Distributions 622 21–3 Numerical Description of Data 628 21–4 Introduction to Probability 638 21–5 The Normal Curve 648 21–6 Standard Errors 654 21–7 Process Control 661 21–8 Regression 669 Chapter 21 Review Problems 674 22 Analytic Geometry 679 22–1 The Straight Line 680 22–2 Equation of a Straight Line 687 22–3 The Circle 694 22–4 The Parabola 702 22–5 The Ellipse 713 22–6 The Hyperbola 725 Chapter 22 Review Problems 733 Appendices A Summary of Facts and Formulas A-0 B Conversion Factors A-0 C Table of Integrals A-0 Indexes Applications Index I-0 Index to Writing Questions I-0 Index to Projects I-0 General Index I-0
£206.06
John Wiley & Sons Inc Practical Statistics for Geographers and Earth
Book SynopsisPractical Statistics for Geographers and Earth Scientists provides an introductory guide to the principles and application of statistical analysis in context. This book helps students to gain the level of competence in statistical procedures necessary for independent investigations, field-work and other projects.Trade Review“Overall, this is potentially a very useful, reader-friendly book for its target audience.” (Soil Use and Management, 1 December 2013)Table of ContentsPreface xi Acknowledgements xiii Glossary xv Section 1 First principles 1 1 What's in a number? 3 Learning outcomes 1.1 Introduction to quantitative analysis 4 1.2 Nature of numerical data 9 1.3 Simplifying mathematical notation 14 1.4 Introduction to case studies and structure of the book 19 2 Geographical data: quantity and content 21 Learning outcomes 2.1 Geographical data 21 2.2 Populations and samples 22 2.3 Specifying attributes and variables 43 3 Geographical data: collection and acquisition 57 Learning outcomes 3.1 Originating data 58 3.2 Collection methods 59 3.3 Locating phenomena in geographical space 87 4 Statistical measures (or quantities) 93 Learning outcomes 4.1 Descriptive statistics 93 4.2 Spatial descriptive statistics 96 4.3 Central tendency 100 4.4 Dispersion 118 4.5 Measures of skewness and kurtosis for nonspatial data 124 4.6 Closing comments 129 5 Frequency distributions, probability and hypotheses 131 Learning outcomes 5.1 Frequency distributions 132 5.2 Bivariate and multivariate frequency distributions 137 5.3 Estimation of statistics from frequency distributions 145 5.4 Probability 149 5.5 Inference and hypotheses 165 5.6 Connecting summary measures, frequency distributions and probability 169 Section 2 Testing times 173 6 Parametric tests 175 Learning outcomes 6.1 Introduction to parametric tests 176 6.2 One variable and one sample 177 6.3 Two samples and one variable 201 6.4 Three or more samples and one variable 210 6.5 Confi dence intervals 216 6.6 Closing comments 219 7 Nonparametric tests 221 Learning outcomes 7.1 Introduction to nonparametric tests 222 7.2 One variable and one sample 223 7.3 Two samples and one (or more) variable(s) 245 7.4 Multiple samples and/or multiple variables 256 7.5 Closing comments 264 Section 3 Forming relationships 265 8 Correlation 267 Learning outcomes 8.1 Nature of relationships between variables 268 8.2 Correlation techniques 275 8.3 Concluding remarks 298 9 Regression 299 Learning outcomes 9.1 Specification of linear relationships 300 9.2 Bivariate regression 302 9.3 Concluding remarks 336 10 Correlation and regression of spatial data 341 Learning outcomes 10.1 Issues with correlation and regression of spatial data 342 10.2 Spatial and temporal autocorrelation 345 10.3 Trend surface analysis 378 10.4 Concluding remarks 394 References 397 Further Reading 399 Index 403 Plate section: Statistical Analysis Planner and Checklist falls between pages 172 and 173
£139.73
John Wiley & Sons Inc Clinical Experiments WCL Paper 73 Wiley Classics
Book SynopsisFirst published in 1986, this unique reference to clinical experimentation remains just as relevant today. Focusing on the principles of design and analysis of studies on human subjects, this book utilizes and integrates both modern and classical designs.Table of ContentsReliability of Measurement. Simple Linear Regression Analysis. The Parallel Groups Design. Special Cases of the Parallel Groups Study. Blocking to Control for Prognostic Variables. Stratification to Control for Prognostic Variables. Analysis of Covariance and the Study of Change. Repeated Measurements Studies. Latin and Greco-Latin Squares. The Crossover Study. Balanced Incomplete Block Designs. Factorial Experiments. Split-Plot Designs and Confounding. Appendix. Indexes.
£130.45
