Mathematics Books
Taylor & Francis Inc Hopf Algebras and Quantum Groups
Book SynopsisThis volume is based on the proceedings of the Hopf-Algebras and Quantum Groups conference at the Free University of Brussels, Belgium. It presents state-of-the-art papers - selected from over 65 participants representing nearly 20 countries and more than 45 lectures - on the theory of Hopf algebras, including multiplier Hopf algebras and quantum groups.Table of ContentsLifting of Nichols algebras of type A2 and pointed Hopf algebras of order p4; survey of cross product bialgebras; a Morita-Takeuchi context for graded coalgebras; coalgebra-Galois extensions from the extension theory point of view; separable functors for the category of Doi-Hopf modules II; cyclic cohomology of coalgebras, coderivations and De Rham cohomology; Schur-Weyl categories and non-quasiclassical Weyl type formula; a generalized power map for Hopf algebras; associated varieties for classical lie superalgebras; algebraic versions of a finite-dimensional quantum groupoid; quasi-Hopf algebras and the centre of a tensor category; an easy proof for the uniqueness of integrals; the coquasitriangular Hopf algebra associated to a rigid Yang-Baxter coalgebra; on regularity of the algebra of covariants for actions of pointed Hopf algebras on regular commutative algebras; a survey on multiplier Hopf algebras.
£237.50
Taylor & Francis Inc NonasSociative Algebra and Its Applications
Book SynopsisA collection of lectures presented at the Fourth International Conference on Nonassociative Algebra and its Applications, held in Sao Paulo, Brazil. Topics in algebra theory include alternative, Bernstein, Jordan, lie, and Malcev algebras and superalgebras. The volume presents applications to population genetics theory, physics, and more.Table of ContentsPreface -- Contributors -- New approach to octonions and Cayley algebras /Helena Albuquerque and Shahn Majid -- Identities of graded alternative algebras /Y. Bahturin and M. Zaicev -- Invariant connections on symmetric spaces /Pilar Benito, Cristina Draper, and Alberto Elduque -- £-ideals in Bernstein algebras /A. Catalan -- Octonions and affine connections on spheres /Alberto Elduque and Hyo Chul Myung -- Immediate applications of a new classification of finite dimensional simple Lie algebras /Mohammed El Houari -- An approach to integrable theories in any dimension: the role of non-semi simple Lie algebras /Luiz A. Ferreira -- Versal deformations of Lie algebras /Alice Fialowski -- Derivations in second order Bernstein algebras /M. A. Garcia-Muniz and C. Martinez -- Algebraic structure of the non-abelian Toda models /J. F. Gomes, F. E. Mendonga da Silveira, G. M. Sotkov, and A. H. Zimerman -- Alternative rings of small order and the hunt for Moufang circle loops /Edgar G. Goodaire -- A note on linearization of some identities /H. Guzzo, Jr., and P. Vicente -- The commuting nucleus of right alternative rings /Irvin Roy Hentzel -- A construction of Jordan superalgebras from Jordan-Lie triple systems /Noriaki Kamiya and Susumu Okubo -- Rings with (x,y,z) = (x,z,y) /Erwin Kleinfeld and Margaret Kleinfeld -- On the semi simplicity of special Jordan superalgebras /Carlos Gomez-Ambrosi and Jesus Laliena -- Bernstein superalgebras of dimension four /S. Gonzalez, C. Lopez-Diaz, and C. Martinez -- Banach-Bemstein algebras and their applications /Yu. Lyubich -- Jordan superalgebras /C. Martinez -- Derivations of structurable / /*-algebras /J. Martinez Moreno -- Lie mappings of C* -algebras /Martin Mathieu -- Sur des anneaux commutatifs a puissances associatives de caracteristique premiere p> 0 /Joao Carlos da Motta Ferreira and Artibano Micali -- Principal ^-bundles /Alexander I. Nesterov -- Z x Z-graded Lie algebras containing a Heisenberg algebra /J. Marshall Osborn and Kaiming Zhao -- A„(l) Toda solitons: a relation between dressing transformations and vertex operators /H. Belich and R. Paunov -- Generalized quadratic rings /Luiz Antonio Peresi -- The derivation algebra of a division composition algebra /J. M. Perez-Izquierdo -- On the structure of the simple Moufang loop GLL (F2) /M. L. Merlini Giuliani and Cesar Polcino Milies -- Lie groups, differential geometry, and nonlinear integrable systems /A V. Razumov and M. V. Saveliev -- Smooth quasigroups and loops. Recent achievements and open problems /L. V. Sabinin -- On smooth left square distributive quasigroup /Liudmila Sabinina -- Algebraic structure of trans symmetric spaces /L. V. Sbitneva -- Bernstein algebras whose lattice of ideals is distributive /C. Martinez and J. Setd -- Specialty problem for Malcev algebras and Poisson Malcev algebras /Ivan P. Shestakov -- Applications of Lie ring methods to group theory /Pavel Shumyatsky -- Computable rings, groups and their isomorphisms /Bakhadyr Khoussainov and Arkadii Slinko -- Quantum F-algebras /J. F. Gomes, F. E. Mendonga da Silveira, G. M. Sotkov, and A. H. Zimerman -- Conditions d’existence d’une loi de Hardy-Weinberg periodique dans des populations selectivement neutres /C. Mallol and R. Varro -- Finite semi fields three-dimensional over the left nuclei /G. P. Wene -- Supplementing radicals of nonassociative rings /Richard Wiegandt.
£285.00
Taylor & Francis Inc Partial Differential Equations On Multistructures
Book SynopsisThis text is based on lectures presented at the International Conference on Partial Differential Equations (PDEs) on Multistructures, held in Luminy, France. It contains advances in the field, compiling research on the analyses and applications of multistructures - including treatments of classical theories, specific characterizations and modellings of multistructures, and discussions on uses in physics, electronics, and biology.Table of ContentsTransient vibrations of planar networks of beams - interaction of flexion, transversal and longitudinal waves; can one hear the shape of a network?; sensitivity analysis of 2D interface cracks; on the asymptotic expansion of the solution of a Dirichlet-Ventcel problem with a small parameter; on instantaneous control of singularly perturbed hyperbolic systems on graphs; Hadamard formula in non-smooth domains and applications; singular stress field at the tip of a closed interface crack; on the geometric and algebraic multiplicities for eigenvalue problems on graphs; the asymptotic Laplace transform - new results and relation to Komatsu's Laplace transform of hyperfunctions; some systems of PDE on polygonal networks; about a geometrical approach to multistructures and some qualitative properties of solutions; study of a vibration problem for a perforated plate with Fourier boundary conditions; singular perturbations with non-smooth limit and finite element approximation of layers for model problems of shells; modelling of a thin piezoelectric shell coupled with a distributed electronic circuit by piezoelectric transducers.
£228.00
Taylor & Francis Inc Handbook of Stochastic Analysis and Applications
Book SynopsisAn introduction to general theories of stochastic processes and modern martingale theory. The volume focuses on consistency, stability and contractivity under geometric invariance in numerical analysis, and discusses problems related to implementation, simulation, variable step size algorithms, and random number generation.Table of ContentsMarkov processes and their applications; semimartingale theory and stochastic calculus; white noise theory; stochastic differential equations and its applications; large deviations and applications; a brief introduction to numerical analysis of (ordinary) stochastic differential equations without tears; stochastic differential games and applications; stability and stabilizing control of stochastic systems; stochastic approximation - theory and applications; stochastic manufacturing systems; optimization by stochastic methods; stochastic control methods in asset pricing.
£275.50
Taylor & Francis Inc Compact Handbook of Computational Biology
Book SynopsisThe assimilation of computational methods into the life sciences has played an important role in advancing biological research. From sequencing genomes to discovering motifs in large collections of functionally equivalent sequences of nucleic acids and proteins, the value of powerful computational tools has become abundantly clear. The Compact Handbook of Computational Biology describes the foundational concepts, techniques, and challenges of biomolecular sequence analysis, biopolymer structure analysis and prediction, genomics, and molecular evolution.Comprising contributions from renowned scientists, many of whom pioneered current methodologies, the Compact Handbook of Computational Biology offers interdisciplinary and authoritative coverage of methods for analysis of nucleic acid and protein sequences and structures, definition and detection of motifs in nucleic acid and protein sequences, protein structure prediction, and discrete modeling of biopolymers. Specific computational topics include computer-assisted research on protein folding, computer-assisted studies of DNA-protein interactions, computer-assisted genomics, proteomics, and comparative genomics, and computer-assisted studies of genome evolution at the molecular (DNA) level.Offering a survey of specific algorithms that have proven successful in molecular biology, genomics, structural biology, and bioinformatics, this invaluable handbook is an authoritative source covering terminology, software, and applications of computational biology.Table of ContentsForeword. Contributors. Introduction: Computational Biology in 14 Brief Paragraphs. Biomolecular Sequence Analysis. Introduction to Pragmatic Analysis of Nucleic Acid Sequences. Motifs in Sequences: Localization and Extraction. Protein Sequence Analysis and Prediction of Secondary Structural Features. Biopolymer Structure Calculation and Prediction. Discrete Models of Biopolymers. Protein Structure Folding and Prediction. DNA-Protein Interactions: Target Prediction. Genome Analysis and Evolution. Methods of Computational Genomics: An Overview. Computational Aspects of Comparative Genomics. Computational Methods for Studying the Evolution of the Mitochondrial Genome. Appendix 1: Computational Biology: Annotated Glossary of Terms. Appendix 2: A Dictionary of Programs for Sequence Analysis. Index.
£999.99
Taylor & Francis Inc Advances on Models Characterizations and
Book SynopsisStatistical distributions are one of the most important applied mathematical tools across a wide spectrum of disciplines, including engineering, biological sciences, and health and social sciences. Since they are used to model observed data and ultimately to develop inferential procedures, understanding the properties of statistical distributions is critical to developing optimal inferential methods and validating the resulting model assumptions. Advances on Models, Characterizations and Applications offers up-to-date information on many recent developments in the field.Comprising fourteen self-contained chapters contributed by internationally renowned experts, this book delineates recent developments on characterizations and other important properties of several distributions, inferential issues related to these models, and several applications of the models to real-world problems. Each chapter is rich with references for further study or more in-depth information on each topiTable of ContentsThe Shapes of the Probability Density, Hazard, and Reverse Hazard Functions. Stochastic Ordering of Risks, Influence of Dependence, and A.S. Constructions. The q-Factorial Moments of Discrete q-Distributions and a Characterization of the Euler Distribution. On the Characterization of Distributions Through the Properties of Conditional Expectations of Order Statistics. Characterization of the Exponential Distribution by Conditional Expectations of Generalized Spacings. Some Characterizations of Exponential Distribution Based on Progressively Censored Order Statistics. A Note on Regressing Order Statistics and Record Values. Generalized Pareto Distributions and Their Characterizations. On Characteristic Properties of the Uniform Distribution. Characterizations of Multivariate Distributions Involving Conditional Specification and/or Hidden Truncation. Bivariate Matsumoto-Yor Property and Related Characterizations. First Principal Component Characterization of a Continuous Random Variable. The Lawless-Wang's Operational Ridge Regression Estimator Under the Linex Loss Function. On the Distributions of the Reference Dose and Its Application in Health Risk Assessment. Subject Index.
£128.25
Taylor & Francis Inc Applied Statistical Designs for the Researcher 12
Book SynopsisShowcasing a discussion of the experimental process and a review of basic statistics, this volume provides methodologies to identify general data distribution, skewness, and outliers. It features a unique classification of the nonparametric analogs of their parametric counterparts according to the strength of the collected data. Applied Statistical Designs for the Researcher discusses three varieties of the Student t test, including a comparison of two different groups with different variances; two groups with the same variance; and a matched, paired group. It introduces the analysis of variance and Latin Square designs and presents screening approaches to comparing two factors and their interactions.Table of ContentsResearch and Statistics Basic Review of Parametric Statistics Exploratory Data Analysis Two Sample Tests Completely Randomized One-Factor Analysis of Variance One and Two Restrictions on Randomization Completely Randomized Two-Factor Factorial Designs Two-Factor Factorial Completely Randomized Blocked Designs Useful Small Scale Pilot Designs Nested Statistical Designs Linear Regression Nonparametric Statistics Introduction to Research Synthesis and "Meta-Analysis" and Conclusory Remarks References Index.
£120.00
Taylor & Francis Inc Thermodynamic Cycles ComputerAided Design and
Book SynopsisThis reference illustrates the efficacy of CyclePad software for enhanced simulation of thermodynamic devices and cycles. It improves thermodynamic studies by reducing calculation time, ensuring design accuracy, and allowing for case-specific analyses. Offering a wide-range of pedagogical aids, chapter summaries, review problems, and worked examples, this reference offers a user-friendly and effective approach to thermodynamic processes and computer-based experimentation and design. Thermodynamic Cycles allows students to change any parameter and understand its effect on device performance, run experiments and investigate results, and run valuable sensitivity and cost-benefit analyses.Table of ContentsThermodynamic concepts: intelligent computer-aided software; review of thermodynamic concepts; thermodynamic cyclic systems; cycles; Carnot cycle; Carnot corollaries. Vapour cycles: Carnot vapour cycle; basic Rankine vapour cycle; improvements toRankine cycle; actual Rankine cycle; reheat Rankine cycle; regenerative Rankine cycle; low-temperature Rankine cycles; solar heat engines; geothermal heat engines; ocean thermal energy conversion; solar point heat engine; waste heat engine; vapour cycleworking fluids; kaline cycle; non-azeotropic mixture; Rankine cycle; super-critical cycle; design examples. Gas closed system cycles: Otto cycle; diesel cycle; Atkinson cycle; dual cycle; Lenoir cycle; Stirling cycle; Miller cycle; Wicks cycle; Ralliscycle; design examples. Gas open system cycles: Brayton or Joule cycle; split-shaft gas turbine cycle; improvement to Brayton cycle; reheat and inter-cool Brayton cycle; regenerative Brayton cycle; bleed air Brayton cycle; Feher cycle; Ericsson cycle;Braysson cycle; steam infection gas turbine cycle; Field cycle; Wicks cycle; ice cycle; design examples. Combines cycle and co-generation; combined cycle; triple cycle in series; triple cycle in parallel; cascaded cycle; Brayton/Rankine combined cycle;Brayton/Brayton combined cycle; Rankine/Rankine combined cycle; field cycleo co-generation; design examples. Refrigeration and heat pump open system cycles: Carnot refrigeration and heat pump cycle; basic vapour refrigeration cycle; actual vapourrefrigeration cycle; basic vapour heat pump cycle; actual vapour heat pump cycle working fluids for vapour refrigeration and heat pump systems; cascade and multi-stage vapour refrigeration cycles; domestic refrigerator-freezer and air conditioning-heatpump systems; absorption air-conditioning; Brayton gas refrigeration cycle; Stirling refrigeration cycle; Ericsson refrigeration cycle; liquefaction of gases; non-azeotropic mixture refrigeration cycle; design examples. Finite time thermodynamics: h
£237.50
Taylor & Francis Inc Applied Sequential Methodologies RealWorld
Book SynopsisA technically precise yet clear presentation of modern sequential methodologies having immediate applications to practical problems in the real world, Applied Sequential Methodologies communicates invaluable techniques for data mining, agricultural science, genetics, computer simulation, finance, clinical trials, sonar signal detection, randomization, multiple comparisons, psychology, tracking, surveillance, and numerous additional areas of application.Includes more than 500 references, 165 figures and tables, and over 25 pages of subject and author indexes.Applied Sequential Methodologies brings the crucial nature of sequential approaches up to speed with recent theoretical gains, demonstrating their utility for solving real-life problems associated with Change-point detection in multichannel and distributed systems Best component selection for multivariate distributions Multistate processes Approximations for moving sums of discrete random variables Interim and terminal analyses of clinical trials Adaptive designs for longitudinal clinical trials Slope estimation in measurement-error models Tests for randomization and target tracking Appropriate count of simulation runs Stock price models Orders of genes Size and power control in multiple comparisonsAuthored by 33 leading scientists, this volume will greatly benefit sequential analysts, data analysts, applied statisticians, biometricians, clinical trialists, and upper-level undergraduate and graduate students in these disciplines. Table of ContentsPassive Acoustic Detection of Marine Mammals Using Page's Test. Two-Stage Procedures for Selecting the Best Component of a Multivariate Distribution. Sequential Randomization Tests. Sequential Methods for Multistate Processes. Sequential Adaptive Designs for Clinical Trials with Longitudinal Responses. Sequential Approaches to Data Mining. Approximations and Bounds for Moving Sums of Discrete Random Variables. Estimation of the Slope in a Measurement-Error Model. Kernel Density Estimation of Wool Fiber Diameter. Financial Applications of Sequential Nonparametric Curve Estimation.
£128.25
Taylor & Francis Inc Subplane Covered Nets 222 Chapman HallCRC Pure
Book SynopsisThis work confronts the question of geometric processes of derivation, specifically the derivation of affine planes - keying in on construction techniques and types of transformations in which lines of a newly-created plane can be understood as subplanes of the original plane. The book provides a theory of subplane covered nets without restriction to the finite case or imposing commutativity conditions.Table of ContentsA brief overview; projective geometries; beginning derivation; spreads; derivable nets; the Hughes planes; Desarguesian planes; Pappian planes; characterizations of geometries; derivable nets and geometries; structure theory for derivable nets; dual spreads and Baer subplanes; derivation as a geometric process; embedding; classification of subplane covered nets; subplane covered affine planes; direct products; parallelisms; partial parallelisms with deficiency; Baer extensions; translation planes admitting Baer groups; spreads covered by pseudo-Reguli; conical and ruled planes over fields; spreads which are dual spreads; partial flocks of deficiency one; Skew-Hall planes.
£999.99
Bloomsbury Publishing PLC Teaching Number Sense
Book SynopsisJulia Anghileri is Senior Lecturer in the Faculty of Education at the University of Cambridge, UK. She is a consultant to the both the National Numeracy Strategy and the QCA.Trade Review"Endorsements for the First Edition "It is an excellent introduction to what a becoming mathematics teacher needs to know. The book is full of ideas for activities that might be used in the classroom..." Educational Review "... an excellent book which provides a concise and acessible account of what it means to develop number sense. It will be an invaluable resource for both undergraduate and postgraduate education students. It will also help practising teachers to explore links between theory and practice in the teaching of mathematics. It's on my essential reading list!" Mathematics in School"Table of Contents1. Making sense of numbers; 2. Counting and coming to know numbers; 3. Towards a system of symbols. 4. Addition and subtraction; 5. The empty number line; 6. Multiplication and Division; 7. Written calculations; 8. Teaching approaches.
£32.99
Taylor & Francis Ltd Generalized Functions Operator Theory and
Book SynopsisNobel prize winner Ilya Prigogine writes in his preface: Irreversibility is a challenge to mathematics...[which] leads to generalized functions and to an extension of spectral analysis beyond the conventional Hilbert space theory. Meeting this challenge required new mathematical formulations-obstacles met and largely overcome thanks primarily to the contributors to this volume. This compilation of works grew out of material presented at the Hyperfunctions, Operator Theory and Dynamical Systems symposium at the International Solvay Institutes for Physics and Chemistry in 1997. The result is a coherently organized collective work that moves from general, widely applicable mathematical methods to ever more specialized physical applications. Presented in two sections, part one describes Generalized Functions and Operator Theory, part two addresses Operator Theory and Dynamical Systems. The interplay between mathematics and physics is now more necessary than ever-and more difficuTable of ContentsPart I: Generalized Functions and Operator TheoryAn Introduction to Hyperfunctions and ?-expansions, G. LumerPartial Inner Product Spaces of Analytic Functions, J.-P. AntoineRigged Spectral States: A Proclivity for Eigenvalues, K. GustafsonDensities of Singular Measures and Generalized Spectral Decompositions, I. Antoniou and Z. SuchaneckiConvolution Kernels and Generalized Functions, B. Bäumer, G. Lumer, and F. NeubranderSpectral Theory of Closed Linear Operators on Banach Spaces from a Locally Convex Point of View, V. WrobelUltradistributions and the Levinson Condition, I. Cioranescu and L. ZsidoRepresentation of the Derivatives and Products of the Delta Function in Hilbert Space, Yu. MelnikovSeries Representations of the Complex Delta Function, I. Antoniou, Z. Suchanecki, and S. TasakiAntieigenvalues: An Extended Spectral Theory, K. GustafsonPart II: Operator Theory and Dynamical SystemsLaws of Nature, Probability, and Time Symmetry Breaking, I. Prigogine and T. PetroskyExtended Spectral Decompositions of Evolution Operators, I. Antoniou and S. ShkarinSome Little Things About Rigged Hilbert Spaces and Quantum Mechanics and All That, A. Bohm, M. Gadella, and S. WickramasekaraAxiomatics of Thermodynamics and Quantum Chaos, V. MaslovStochastic Evolution on Product Manifolds. S. Albeverio, A. Daletskii, and Yu. KondratievInteraction Problems with Distributions and Hyperfunctions Data, G. LumerAbsolute Continuity of Convolutions of Singular Measures and New Branches of Spectrum of Liouvillians and Few-Body Hamiltonians, L Bos and B PavlovOn Scattering Theories Involving Moving Boundaries, G. F. RoachThe Eigenvalue Problem for Networks of Beams, B Dekoninck and S NicaiseGeneralized Perturbations and Operator Relations, P Kurasov and B PavlovOn Spectral Analysis of a Class of Integral-Difference Collision Operators, Yu. MelnikivDynamical Aspects of Processes with Long-Range Memor
£166.25
Taylor & Francis Ltd Direct and Indirect Boundary Integral Equation
Book SynopsisThe computational power currently available means that practitioners can find extremely accurate approximations to the solutions of more and more sophisticated mathematical models-providing they know the right analytical techniques. In relatively simple terms, this book describes a class of techniques that fulfill this need by providing closed-form solutions to many boundary value problems that arise in science and engineering. Boundary integral equation methods (BIEM''s) have certain advantages over other procedures for solving such problems: BIEM''s are powerful, applicable to a wide variety of situations, elegant, and ideal for numerical treatment. Certain fundamental constructs in BIEM''s are also essential ingredients in boundary element methods, often used by scientists and engineers.However, BIEM''s are also sometimes more difficult to use in plane cases than in their three-dimensional counterparts. Consequently, the full, detailed BIEM treatment of two-dimensional problTrade Review"The text is written clearly and the proofs are given in detail." M. Aron, Proceedings of the Edinburgh Mathematical Society, Vol. 44, 445-448, 2001 "…the book offers a comprehensive treatment of the subject matter and constitutes a very useful source of information for mathematicians and other scientists interested in boundary integral equation methods. M. Aron, Proceedings of the Edinburgh Mathematical Society, Vol. 44, 445-448, 2001Table of ContentsIntroduction. The Laplace Equation. Plane Strain. Bending of Elastic Plates. Which Method?NTI/Sales Copy
£104.50
Taylor & Francis Inc Strain Solitons in Solids and How to Construct
Book SynopsisAlthough the theory behind solitary waves of strain shows that they hold significant promise in nondestructive testing and a variety of other applications, an enigma has long persisted-the absence of observable elastic solitary waves in practice. Inspired by this apparent contradiction, Strain Solitons in Solids and How to Construct Them refines the existing theory, explores how to construct a powerful deformation pulse in a waveguide without plastic flow or fracture, and proposes a direct method of strain soliton generation, detection, and observation.The author focuses on the theory, simulation, generation, and propagation of strain solitary waves in a nonlinearly elastic, straight cylindrical rod under finite deformations. He introduces the general theory of wave propagation in nonlinearly elastic solids and shows, from first principles, how its main ideas can lead to successful experiments. In doing so, he develops a new approach to solving the corresponding doubly dispersive equation (DDE) with dissipative terms, leading to new explicit and exact solutions. He also shows that the method is applicable to a variety of nonlinear problems.First discovered in virtual reality, nonlinear waves and solitons in solids are finally moving into the genuine reality of physics, mechanics, and engineering. Strain Solitons in Solids and How to Construct Them shows how to balance the mathematics of the problem with the application of the results to experiments and ultimately to generating and observing solitons in solids.Table of ContentsNonlinear Waves in Elastic Solids. Mathematical Description of General Deformation Wave Problem. Direct Methods and Formal Solutions. Nonlinear Strain Waves in Elastic Wave Guides. Waves in Non-Homogeneous Wave Guide. Numerical Simulation and Experiments. References. Index.
£166.25
Taylor & Francis Inc Fluid Dynamics and Dynamos in Astrophysics and
Book SynopsisThe increasing power of computer resources along with great improvements in observational data in recent years have led to some remarkable and rapid advances in astrophysical fluid dynamics. The subject spans three distinct but overlapping communities whose interests focus on (1) accretion discs and high-energy astrophysics; (2) solar, stellar, and galactic magnetic fields; and (3) the geodynamo, planetary magnetic fields, and associated experiments. This book grew out of a special conference sponsored by the London Mathematical Society with the support of EPSRC that brought together leading researchers in all of these areas to exchange ideas and review the status of the field.The many interesting problems addressed in this volume concern:Table of ContentsAccretion Discs. Discs with Mhd Turbulence and Their Response to Orbiting Planets. Mixing at the Surface of White Dwarf Stars. Pulsar Magnetospheres. Magnetic Fields in Galaxies. Self-Consistent Mean Field Electrodynamics in Two and Three Dimensions. The Solar Tachocline: Formation, Stability and Its Role in the Solar Dynamo. Magnetoconvection. Alfvén Waves Within the Earth's Core. Turbulence Models and Plane Layer Dynamos. Planetary and Stellar Dynamos: Challenges for Next Generation Models. Convection in Rotating Spherical Fluid Shells and Its Dynamo States. Laboratory Experiments on Liquid Metal Dynamos and Liquid Metal Mhd Turbulence. Index.
£166.25
Taylor & Francis Inc Analytical and Approximate Methods in Transport
Book SynopsisOn the job or in the field, when facing a problem with differential equations and boundary conditions, most likely you don't have time to read through several publications in search of a method that may or may not solve your problem. Organized for quick and easy access to practical solutions, Analytical and Approximate Methods in Transport Phenomena is a reference for the day-to-day problems encountered when working with variables in heat, mass, or momentum transfer. This text is organized differently from usual resources on applied mathematics for engineers. First, it introduces a new classification system of the problem based on just three numbers, so locating the appropriate solution method is quick and easy. Second, the author presents mathematical methods with applications in mind, introducing examples, as well as common or possible solutions, before presenting any mathematical theory or method. This allows you to identify the issue you need to resolve, then apply theTable of ContentsProblems 111; One Variable, 1st Order, 1st Kind Boundary Condition. Problems 112; One Variable, 1st Order, 2nd Kind Boundary Condition. Problems 113; One Variable, 1st Order, 3rd Kind Boundary Condition. Problems 121; One Variable, 2nd Order, 1st Kind Boundary Condition. Problems 122; One Variable, 2nd Order, 2nd Kind Boundary Condition. Problems 123; One Variable, 2nd Order, 3rd Kind Boundary Condition. Problems 211; Two Variables, 1st Order, 1st Kind Boundary Condition. Problems 212; Two Variables, 1st Order, 2nd Kind Boundary Condition, Problems 213; Two Variables, 1st Order, 3rd Kind Boundary Condition, Problems 221; Two Variables, 2nd Order, 1st Kind Boundary Condition, Problems 222; Two variables, 2nd Order, 2nd Kind Boundary Condition. Problems 223; Two Variables, 2nd Order, 3rd Kind Boundary Condition. Problems 311; Three Variables, 1st Order, 1st Kind Boundary Condition. Problems 312; Three Variables, 1st Order, 2nd Kind Boundary Condition. Problems 313; Three Variables, 1st Order, 3rd Kind Boundary Condition. Problems 321; Three Variables, 2nd Order, 1st Kind Boundary Condition. Appendices.
£175.75
Taylor & Francis Inc The HilbertHuang Transform in Engineering
Book SynopsisData used to develop and confirm models suffer from several shortcomings: the total data is too limited, the data are non-stationary, and the data represent nonlinear processes. The Hilbert-Huang transform (HHT) is a relatively new method that has grown into a robust tool for data analysis and is ready for a wide variety of applications.This text presents the first thorough presentation of the formulation and application of the Hilbert-Huang Transform (HHT) in engineering. After an introduction and overview of recent advances, thirty leading international experts explore the use of the HHT in areas such as oceanography, nonlinear soil amplification, and non-stationary random processes. One chapter offers a comparative analysis between HHT wavelet and Fourier transforms, and another looks at the HHT applied to molecular dynamic simulations. The final chapter provides perspectives on the theory and practice of HHT and reviews applications in disciplines ranging from biomedicalTrade Review"This is a book that exclusively deals with the HHT. Its main purpose is to provide the reader with an overview of the HHT without pursuing thorough mathematical details. Further, it attempts to demonstrate the versatility of the method by including numerous applications of the HHT in various engineering fields including ocean, environmental, seismic, and structural engineering. The book is organized into 13 chapters, each one written by different authors in a strict technical paper format … Overall, the book provides a balanced presentation of the HHT from various points of view depending on the application of interest and demonstrates the versatility and applicability of this numerical technique in various technical fields. It can be a valuable reference text for researchers and practitioners in the plethora of engineering fields that deal with the processing of nonstationary data sets and focus on extracting physically meaningful information while capturing the evolution of the corresponding processes in time or space."-Pol Spanos (Rice University), Journal of Waterway, Port, Coastal, and Ocean Engineering, vol. 132, no. 5, Sept./Oct. 2006Table of ContentsChapter 1 Introduction to Hilbert-Huang Transform and Some Recent Developments, Chapter 2 Carrier and Riding Wave Structure of Rogue Waves, Chapter 3 Applications of Hilbert-Huang Transform to Ocean-Atmosphere Remote Sensing Research, Chapter 4 A Comparison of the Energy Flux Computation of Shoaling Waves Using Hilbert and Wavelet Spectral Analysis Techniques, Chapter 5 An Application of HHT Method to Nearshore Sea Waves, Chapter 6 Transient Signal Detection Using the Empirical Mode Decomposition, Chapter 7 Coherent Structures Analysis in Turbulent Open Channel Flow Using Hilbert-Huang and Wavelets Transforms, Chapter 8 An HHT-Based Approach to Quantify Nonlinear Soil Amplification and Damping, Chapter 9 Simulation of Nonstationary Random Processes Using Instantaneous Frequency and Amplitude from Hilbert-Huang Transform, Chapter 10 Comparison of Hilbert-Huang, Wavelet, and Fourier Transforms for Selected Applications, Chapter 11 The Analysis of Molecular Dynamics Simulations by the Hilbert Huang Transform, Chapter 12 Decomposition of Wave Groups with EMD Method, Chapter 13 Perspectives on the Theory and Practices of the Hilbert-Huang Transform, Index
£218.50
Taylor & Francis Inc Fluid Mechanics for Civil and Environmental
Book SynopsisAn ideal textbook for civil and environmental, mechanical, and chemical engineers taking the required Introduction to Fluid Mechanics course, Fluid Mechanics for Civil and Environmental Engineers offers clear guidance and builds a firm real-world foundation using practical examples and problem sets. Each chapter begins with a statement of objectives, and includes practical examples to relate the theory to real-world engineering design challenges. The author places special emphasis on topics that are included in the Fundamentals of Engineering exam, and make the book more accessible by highlighting keywords and important concepts, including Mathcad algorithms, and providing chapter summaries of important concepts and equations.Table of ContentsIntroduction. Fluid Statics. Continuity Equation. Energy Equation. Momentum Equation. Flow Resistance Equations. Dimensional Analysis. Pipe Flow. Open Channel Flow. External Flow. Dynamic Similitude and Modeling. Appendix A: Physical Properties of Common Fluids. Appendix B: Geometric Properties of Common Shapes. References. Bibliography. Index..
£156.75
Taylor & Francis Ltd Topics on Continua Chapman HallCRC Pure and
Book SynopsisSpecialized as it might be, continuum theory is one of the most intriguing areas in mathematics. However, despite being popular journal fare, few books have thoroughly explored this interesting aspect of topology. In Topics on Continua, Sergio Macías, one of the field's leading scholars, presents four of his favorite continuum topics: inverse limits, Jones's set function T, homogenous continua, and n-fold hyperspaces, and in doing so, presents the most complete set of theorems and proofs ever contained in a single topology volume. Many of the results presented have previously appeared only in research papers, and some appear here for the first time. After building the requisite background and exploring the inverse limits of continua, the discussions focus on Professor Jones''s set function T and continua for which T is continuous. An introduction to topological groups and group actions lead to a proof of Effros''s Theorem, followed by a presentTable of ContentsPreliminaries, including an introduction to Product Topology. Inverse Limits and Related Topics. Jones Set Function T. A Theorem of E.G. Effros. Decomposition Theorems. n-Fold Hyperspaces. Questions.
£166.25
Taylor & Francis Inc Mathematical Models and Methods for Real World
Book SynopsisMathematics does not exist in isolation but is linked inextricably to the physical world. At the 2003 International Congress of Industrial and Applied Mathematics, leading mathematicians from around the globe gathered for a symposium on the Mathematics of Real World Problems, which focused on furthering the establishment and dissemination of those links.Presented in four parts, Mathematical Models and Methods for Real World Systems comprises chapters by those invited to this symposium. The first part examines mathematics for technology, exploring future challenges of mathematical technology, offering a wide-ranging definition of industrial mathematics, and explaining the mathematics of type-II superconductors. After lucid discussions on theoretical and applied aspects of wavelets, the book presents classical and fractal methods for physical problems, including a fractal approach to porous media textures and using MATLAB to model chaos in the motion of a satellite. The final section surveys recent trends in variational methods, focusing on areas such as elliptic inverse problems, sweeping processes, and the BBKY hierarchy of quantum kinetic equations.By virtue of its abstraction, mathematics allows the transfer of ideas between fields of applications. Mathematical Models and Methods for Real World Systems clearly demonstrates this and promotes the kind of cross-thinking that nurtures creativity and leads to further innovation.Table of ContentsMATHEMATICS FOR TECHNOLOGY: Mathematics as a Technology-Challenges for the Next Ten Years. Industrial Mathematics-What Is It? Mathematical Models and Algorithms for Type-II Superconductors. WAVELET METHODS FOR REAL-WORLD PROBLEMS: Wavelet Frames and Multiresolution Analysis. Comparison of a Wavelet-Galerkin Procedure with a Crank-Nicolson-Galerkin Procedure for the Diffusion Equation Subject to the Specification of Mass. Trends in Wavelet Applications. Wavelet Methods for Indian Rainfall Data. Wavelet Analysis of Tropospheric and Lower Stratospheric Gravity Waves. Advanced Data Processes of Some Meteorological Parameters. Wavelet Methods for Seismic Data Analysis and Processing. CLASSICAL AND FRACTAL METHODS FOR PHYSICAL PROBLEMS: Gradient Catastrophe in Heat Propagation with Second Sound. Acoustic Waves in a Perturbed Layered Ocean. Non-Linear Planar Oscillation of a Satellite Leading to Chaos under the Influence of Third-Body Torque. Chaos Using MATLAB in the Motion of a Satellite under the Influence of Magnetic Torque. A New Analysis Approach to Porous Media Texture- Mathematical Tools for Signal Analysis in a Context of Increasing Complexity. TRENDS IN VARIATIONAL METHODS: A Convex Objective Functional for Elliptic Inverse Problems. The Solutions of BBGKY Hierarchy of Quantum Kinetic Equations for Dense Systems. Convergence and the Optimal Choice of the Relation Parameter for a Class of Iterative Methods. On a Special Class of Sweeping Process.
£237.50
Taylor & Francis Inc Fuzzy Surfaces in GIS and Geographical Analysis
Book SynopsisSurfaces are a central to geographical analysis. Their generation and manipulation are a key component of geographical information systems (GISs). However, geographical surface data is often not precise. When surfaces are used to model geographical entities, the data inherently contains uncertainty in terms of both position and attribute. Fuzzy Surface in GIS and Geographical Analysis sets out a process to identify the uncertainty in geographic entities. It describes how to successfully obtain, model, analyze, and display data, as well as interpret results within the context of GIS. Focusing on uncertainty that arises from transitional boundaries, the book limits its study to three types of uncertainties: intervals, fuzzy sets, and possibility distributions. The book explains that uncertainty in geographical data typically stems from these three and it is only natural to incorporate them into the analysis and display of surface data. The book defines the mathematics associatTable of ContentsIntroduction. Interpolation with Data Containing Interval, Fuzzy, and Possibilistic Uncertainty. Introduction to Geographical Information Systems. Geographical Entities as Surfaces.Surface Modeling. Visualization and Analysis on Surfaces. Applications. Algorithms - Pseudo Code. Appendices –Fuzzy Arithmetic and Fuzzy Query C++ Source.
£166.25
Taylor & Francis Inc Elliptic Marching Methods and Domain
Book SynopsisOne of the first things a student of partial differential equations learns is that it is impossible to solve elliptic equations by spatial marching. This new book describes how to do exactly that, providing a powerful tool for solving problems in fluid dynamics, heat transfer, electrostatics, and other fields characterized by discretized partial differential equations. Elliptic Marching Methods and Domain Decomposition demonstrates how to handle numerical instabilities (i.e., limitations on the size of the problem) that appear when one tries to solve these discretized equations with marching methods. The book also shows how marching methods can be superior to multigrid and pre-conditioned conjugate gradient (PCG) methods, particularly when used in the context of multiprocessor parallel computers. Techniques for using domain decomposition together with marching methods are detailed, clearly illustrating the benefits of these techniques for applications in engineering, applied mathemTrade Review"Together with an important historical perspective, this book uses the domain decomposition connection to develop and explore the nature of marching methods. Interesting analytical and anecdotal comparisons are made with direct methods and multigrid techniques, told by a scientist who has obviously has much experience with real practical problems."-Mathematical Reviews, 99aTable of ContentsBasic Marching Methods for 2D Elliptic ProblemsHigh-Order EquationsExtending the Mesh Size: Domain DecompositionBanded Approximations to Influence MatricesMarching Methods in 3DPerformance of the 2D GEM CodeVectorization and ParallelizationSemidirect Methods for Nonlinear Equations of Fluid DynamicsComparison to Multigrid MethodsAppendix A - Marching Schemes and Error Propagation for Various Discrete LaplaciansAppendix B - Tridiagonal Algorithm for Periodic Boundary ConditionsAppendix C - Gauss Elimination as a Direct SolverSubject IndexTOC for NTI/Flyer
£194.75
Taylor & Francis Inc An Introduction to Operator Algebras
Book SynopsisAn Introduction to Operator Algebras is a concise text/reference that focuses on the fundamental results in operator algebras. Results discussed include Gelfand''s representation of commutative C*-algebras, the GNS construction, the spectral theorem, polar decomposition, von Neumann''s double commutant theorem, Kaplansky''s density theorem, the (continuous, Borel, and L8) functional calculus for normal operators, and type decomposition for von Neumann algebras. Exercises are provided after each chapter.
£182.75
Taylor & Francis Inc Statistical Methods for NonPrecise Data
Book SynopsisThe formal description of non-precise data before their statistical analysis is, except for error models and interval arithmetic, a relatively young topic. Fuzziness is described in the theory of fuzzy sets but only a few papers on statistical inference for non-precise data exist. In many cases, for example when very small concentrations are being measured, it is necessary to describe the imprecision of data. Otherwise, the results of statistical analysis can be unrealistic and misleading. Fortunately, there is a straightforward technique for dealing with non-precise data. The technique - the generalized inference method - is explained in Statistical Methods for Non-Precise Data. Anyone who understands elementary statistical methods and simple stochastic models will be able to use this book to understand and work with non-precise data.The book includes explanations of how to cope with non-precise data in different practical situations, and makes an excellent graduate level text booTable of ContentsNon-Precise Data and Their Formal DescriptionNon-Precise DataNon-Precise Numbers and Characterizing FunctionsConstruction of Characterizing FunctionsNon-Precise VectorsFunctions of Non-Precise Quantities and Non-Precise FunctionsDescriptive Statistics with Non-Precise DataNon-Precise SamplesHistograms for Non-Precise DataCumulative Sums for Non-Precise DataEmpirical Distribution Function for Non-Precise DataEmpirical Fractiles for Non-Precise DataFoundations for Statistical Inference with Non-Precise DataCombination of Non-Precise ObservationsSample Moment for Non-Precise ObservationsSequences of Non-Precise ObservationsClassical Statistical Inference for Non-Precise DataPoint Estimators for ParametersConfidence Regions for ParametersNonparametric EstimationStatistical Tests and Non-Precise DataBayesian Inference for Non-Precise DataBayes' Theorem for Non-Precise DataBayesian Confidence Regions Based on Non-Precise DataNon-Precise Predictive DistributionsNon-Precise a priori DistributionsBayes Theorem for Non-Precise a priori Distribution and Non-Precise DataBayesian Decisions Based on Non-Precise InformationOutlookReferencesList of SymbolsIndex
£142.50
Taylor & Francis Inc CRC Handbook of Percentiles of NonCentral
Book SynopsisCRC Handbook of Percentiles of Non-Central t-Distributions is the first book to provide critical values of non-central t-distributions in an easy-to-use format. The book presents a brief introductory section that outlines properties and applications of non-central t-distributions and then explains the tables. The rest of the book consists of tables. The values listed were produced using cumulative probabilities. CRC Handbook of Percentiles of Non-Central t-Distributions is an essential reference of numerical tables of statistical functions for researchers, practitioners, scientists, and students involved with statistics in the areas of tolerance limits, variable sampling plans, confidence limits on quantiles, confidence limits on proportions, sample coefficient of variation and in computing the power of t-test.Table of ContentsIntroduction: The Critical Values of Non-Central t Distributions. a=0.01, a=0.025, a=0.05, a=0.10, a=0.20, a=0.30, a=0.70, a=0.80, a=0.90, a=0.95, a=0.975, a=0.99. References.
£332.50
Taylor & Francis Inc Mathematical Models for Structural Reliability
Book SynopsisMathematical Models for Structural Reliability Analysis offers mathematical models for describing load and material properties in solving structural engineering problems. Examples are provided, demonstrating how the models are implemented, and the limitations of the models are clearly stated. Analytical solutions are also discussed, and methods are clearly distinguished from models. The authors explain both theoretical models and practical applications in a clear, concise, and readable fashion.Table of ContentsStochastic Process Models (F. Casciati and M. Di Paola)IntroductionThe Orthogonal-Increment ModelThe Correlation-Stationary Model Time-Invariant Linear Systems Models of Common UseThe Evolutionary Model Time-Invariant Linear SystemsMarkov Processes A Model of Common Use Itô Stochastic Differential Equation Some Examples Approximation of Mechanical Processes: Physical versus Itô EquationsThe Random Pulse Train Model The Delta-Correlated Model Fokker Planck and Moment Equations for Parametric Delta Correlated Input Quasi-Linear Systems Simulation of Delta Correlated Processes and Response Simulation of Normal White Noise Input and Response Orthogonal-Increment Model for Delta Correlated ProcessesMultidegree-of-Freedom Systems Under Parametric Delta Correlated Input Moment Equation Approach for MDOF Systems Simulation of Multivariate Delta Correlated Processes and ResponseConclusions and ReferencesAppendix Characterization of Random Variables Joint Characterization of Random Variables Operation on Stochastic Processes Kronecker Algebra: Some FundamentalsDimension Reduction and Discretization in Stochastic Problems by Regression Method (O. Ditlevsen)IntroductionLinear RegressionNormal DistributionNon-Gaussian Distributions and Linear RegressionMarginally Transformed Gaussian Processes and FieldsDiscretized Fields Defined by Linear Regression on a Finite Set of Field ValuesDiscretization Defined by Linear Regression on a Finite Set of Linear FunctionalsPoisson Load Field ExampleStochastic Finite Element Methods and Reliability CalculationsClassical versus Statistical-Stochastic Interpolation Formulated on the Basis of the Principle of Maximum LikelihoodComputational Practicability of the Statistical-Stochastic Interpolation MethodField Modeling on the Basis of Measured Noisy DataDiscretization Defined by L
£194.75
Springer London Ltd Ergodic Theory With a View Towards Number Theory
Book SynopsisMotivation.- Ergodicity, Recurrence and Mixing.- Continued Fractions.- Invariant Measures for Continuous Maps.- Conditional Measures and Algebras.- Factors and Joinings.- Furstenberg's Proof of Szemeredi's Theorem.- Actions of Locally Compact Groups.- Geodesic Flow on Quotients of the Hyperbolic Plane.- Nilrotation.- More Dynamics on Quotients of the Hyperbolic Plane.- Appendix A: Measure Theory.- Appendix B: Functional Analysis.- Appendix C: Topological GroupsTrade ReviewFrom the reviews:“The book is an introduction to ergodic theory and dynamical systems. … The book is intended for graduate students and researchers with some background in measure theory and functional analysis. Definitely, it is a book of great interest for researchers in ergodic theory, homogeneous dynamics or number theory.” (Antonio Díaz-Cano Ocaña, The European Mathematical Society, January, 2014)“A book with a wider perspective on ergodic theory, and yet with a focus on the interaction with number theory, remained a glaring need in the overall context of the development of the subject. … The book under review goes a long way in fulfilling this need. … it covers a good deal of conventional ground in ergodic theory … . a very welcome addition and would no doubt inspire interest in the area among researchers as well as students, and cater to it successfully.” (S. G. Dani, Ergodic Theory and Dynamical Systems, Vol. 32 (3), June, 2012)“The book under review is an introductory textbook on ergodic theory, written with applications to number theory in mind. … it aims both to provide the reader with a solid comprehensive background in the main results of ergodic theory, and of reaching nontrivial applications to number theory. … The book should also be very appealing to more advanced readers already conducting research in representation theory or number theory, who are interested in understanding the basis of the recent interaction with ergodic theory.” (Barak Weiss, Jahresbericht der Deutschen Mathematiker-Vereinigung, Vol. 114, 2012)“This introductory book, which goes beyond the standard texts and allows the reader to get a glimpse of modern developments, is a timely and welcome addition to the existing and ever-growing ergodic literature. … This book is highly recommended to graduate students and indeed to anyone who is interested in acquiring a better understanding of contemporary developments in mathematics.” (Vitaly Bergelson, Mathematical Reviews, Issue 2012 d)“The book contains a presentation of the ergodic theory field, focusing mainly on results applicable to number theory. … of interest for researchers, specialists, professors and students that work within some other areas than precisely the ergodic theory. … ‘Ergodic Theory. With a view toward number theory’ is now an indispensable reference in the domain and offers important instruments of research for other theoretical fields.” (Adrian Atanasiu, Zentralblatt MATH, Vol. 1206, 2011)Table of ContentsMotivation.- Ergodicity, Recurrence and Mixing.- Continued Fractions.- Invariant Measures for Continuous Maps.- Conditional Measures and Algebras.- Factors and Joinings.- Furstenberg’s Proof of Szemeredi’s Theorem.- Actions of Locally Compact Groups.- Geodesic Flow on Quotients of the Hyperbolic Plane.- Nilrotation.- More Dynamics on Quotients of the Hyperbolic Plane.- Appendix A: Measure Theory.- Appendix B: Functional Analysis.- Appendix C: Topological Groups
£43.19
Rowman & Littlefield Introduction to Algebra
Book SynopsisTo find more information about Rowman and Littlefield titles, please visit www.rowmanlittlefield.com.
£81.00
Taylor & Francis Ltd Applied Statistics for the Social and Health
Book SynopsisCovering basic univariate and bivariate statistics and regression models for nominal, ordinal, and interval outcomes, Applied Statistics for the Social and Health Sciences provides graduate students in the social and health sciences with fundamental skills to estimate, interpret, and publish quantitative research using contemporary standards.Reflecting the growing importance of Big Data in the social and health sciences, this thoroughly revised and streamlined new edition covers best practice in the use of statistics in social and health sciences, draws upon new literatures and empirical examples, and highlights the importance of statistical programming, including coding, reproducibility, transparency, and open science.Key features of the book include: interweaving the teaching of statistical concepts with examples from publicly available social and health science data and literature excerpts; thoroughly integrating the teaching of statistiTrade Review"This book is a teacher’s dream. Not only does it provide a comprehensive discussion of statistics as it is actually practiced by working researchers in the social and health sciences, it also provides detailed guidance on how to carry out such analyses using Stata, one of the best available and widely used statistical packages. Finally it provides numerous examples drawn directly from the research literature. I know of no other book like it."Richard Campbell, Emeritus Professor of Public Health, University of Illinois at Chicago, USA "I taught a year-long graduate level statistics course to first year sociology, education, policy analysis and demography Ph.D. students for more than 40 years. I always pieced together material from several different textbooks, software manuals, and published articles, since no one volume met the need to provide entering graduate students with appropriate content coverage at the right difficulty level. The 2nd edition of Rachel Gordon’s book, with its excellent update, meets these needs better than any other volume I have seen."George Farkas, Distinguished Emeritus Professor of Education, University of California, Irvine, USA "I have used the first edition of Rachel Gordon’s Applied Statistics for the Social and Health Sciences in my multidisciplinary graduate-level statistics course since I began teaching it around 5 years ago. Gordon’s ability to translate complex information into practical, real-world examples that are applicable and engaging for students across the social sciences and health disciplines has helped her textbook stand out from others. The second edition enhances this even further, bringing the material fully up-to-date with recent advances, and displaying a much-needed focus on developing students’ coding skills as well as their statistical knowledge. I anticipate Gordon’s second edition becoming a standard textbook in the field for years to come."Jeffrey E. Stokes, Assistant Professor of Gerontology & Undergraduate Director of Aging Studies Program, University of Massachusetts Boston, USA "I have used—and loved—the first edition of this book for nearly a decade. However, I was thrilled to see that the new edition promises to retain the rigor and clarity of purpose of the first edition, but in a more focused and streamlined package. I look forward to adopting this book for my introductory and advanced regression courses for the next decade and beyond."Jeffrey M. Timberlake, Professor of Sociology, University of Cincinnati, USA Table of ContentsPart I: Getting ready; 1 Considering Examples of Scholarly Publications Modeling Social and Health Variables; 2 Planning and Starting a Quantitative Research Project with Existing Data;; Part II: Describing the data; 3 Graphing and Summarizing Individual Variables; 4 Introducing Population Estimation and Hypothesis Testing; 5 Estimating and Testing the Association between Two Variables; ; Part III: Estimating and presenting linear regression models; 6 Introducing the Linear Regression Model with Two Continuous Variables; 7 Considering Nonlinearity and Nonconstant Variance; 8 Including Categorical Predictor Variables; 9 Including More Than One Predictor Variable in the Model; 10 Considering Interactions among Predictor Variables; ; Part IV: Estimating and presenting generalized linear models; 11 Introducing the Generalized Linear Regression Model; 12 Analyzing Dichotomous Outcomes; 13 Analyzing Multi-Category Outcomes and Offering a Roadmap to Additional Models
£39.99
Cambridge University Press Concentration of Measure for the Analysis of Randomized Algorithms
Book SynopsisRandomized algorithms have become a central part of the algorithms curriculum, based on their increasingly widespread use in modern applications. This book presents a coherent and unified treatment of probabilistic techniques for obtaining high probability estimates on the performance of randomized algorithms. It covers the basic toolkit from the ChernoffâHoeffding bounds to more sophisticated techniques like martingales and isoperimetric inequalities, as well as some recent developments like Talagrand's inequality, transportation cost inequalities and log-Sobolev inequalities. Along the way, variations on the basic theme are examined, such as ChernoffâHoeffding bounds in dependent settings. The authors emphasise comparative study of the different methods, highlighting respective strengths and weaknesses in concrete example applications. The exposition is tailored to discrete settings sufficient for the analysis of algorithms, avoiding unnecessary measure-theoretic details, thus makingTrade ReviewReview of the hardback: 'It is beautifully written, contains all the major concentration results, and is a must to have on your desk.' Richard LiptonReview of the hardback: 'Concentration bounds are at the core of probabilistic analysis of algorithms. This excellent text provides a comprehensive treatment of this important subject, ranging from the very basic to the more advanced tools, including some recent developments in this area. The presentation is clear and includes numerous examples, demonstrating applications of the bounds in analysis of algorithms. This book is a valuable resource for both researchers and students in the field.' Eli Upfal, Brown UniversityReview of the hardback: 'Concentration inequalities are an essential tool for the analysis of algorithms in any probabilistic setting. There have been many recent developments on this subject, and this excellent text brings them together in a highly accessible form.' Alan Frieze, Carnegie Mellon UniversityReview of the hardback: 'The book does a superb job of describing a collection of powerful methodologies in a unified manner; what is even more striking is that basic combinatorial and probabilistic language is used in bringing out the power of such approaches. To summarize, the book has done a great job of synthesizing diverse and important material in a very accessible manner. Any student, researcher, or practitioner of computer science, electrical engineering, mathematics, operations research, and related fields, could benefit from this wonderful book. The book would also make for fruitful classes at the undergraduate and graduate levels. I highly recommend it.' Aravind Srinivasan, SIGACT NewsReview of the hardback: '… the strength of this book is that it is appropriate for both the beginner as well as the experienced researcher in the field of randomized algorithms … The exposition style […] combines informal discussion with formal definitions and proofs, giving first the intuition and motivation for the probabalistic technique at hand. … I highly recommend this book both as an advanced as well as an introductory textbook, which can also serve the needs of an experienced researcher in algorithmics.' Yannis C. Stamatiou, Mathematical ReviewsReviews of the hardback: 'This timely book brings together in a comprehensive and accessible form a sophisticated toolkit of powerful techniques for the analysis of randomized algorithms, illustrating their use with a wide array of insightful examples. This book is an invaluable resource for people venturing into this exciting field of contemporary computer science research.' Prabhakar Ragahavan, Yahoo ResearchTable of Contents1. Chernoff–Hoeffding bounds; 2. Applying the CH-bounds; 3. CH-bounds with dependencies; 4. Interlude: probabilistic recurrences; 5. Martingales and the MOBD; 6. The MOBD in action; 7. Averaged bounded difference; 8. The method of bounded variances; 9. Interlude: the infamous upper tail; 10. Isoperimetric inequalities and concentration; 11. Talagrand inequality; 12. Transportation cost and concentration; 13. Transportation cost and Talagrand's inequality; 14. Log–Sobolev inequalities; Appendix A. Summary of the most useful bounds.
£38.94
Cambridge University Press The Collected Mathematical Papers Volume 7
Book SynopsisArthur Cayley (1821â1895) was a key figure in the creation of modern algebra. He studied mathematics at Cambridge and published three papers while still an undergraduate. He then qualified as a lawyer and published about 250 mathematical papers during his fourteen years at the Bar. In 1863 he took a significant salary cut to become the first Sadleirian Professor of Pure Mathematics at Cambridge, where he continued to publish at a phenomenal rate on nearly every aspect of the subject, his most important work being in matrices, geometry and abstract groups. In 1883 he became president of the British Association for the Advancement of Science. Publication of his Collected Papers - 967 papers in 13 volumes plus an index volume - began in 1889 and was completed after his death under the editorship of his successor in the Sadleirian Chair. This volume contains 69 papers published mostly between 1866 and 1872.Table of ContentsPreface; Papers 417-485 (1866–1872); Notes and References.
£71.24
John Wiley & Sons Inc Robust Nonlinear Regression
Book SynopsisThe first book to discuss robust aspects of nonlinear regressionwith applications using R software Robust Nonlinear Regression: with Applications using R covers a variety of theories and applications of nonlinear robust regression. It discusses both parts of the classic and robust aspects of nonlinear regression and focuses on outlier effects. It develops new methods in robust nonlinear regression and implements a set of objects and functions in S-language under SPLUS and R software. The software covers a wide range of robust nonlinear fitting and inferences, and is designed to provide facilities for computer users to define their own nonlinear models as an object, and fit models using classic and robust methods as well as detect outliers. The implemented objects and functions can be applied by practitioners as well as researchers. The book offers comprehensive coverage of the subject in 9 chapters: Theories of Nonlinear Regression and Inference; Introduction to R; Optimization; Theories of Robust Nonlinear Methods; Robust and Classical Nonlinear Regression with Autocorrelated and Heteroscedastic errors; Outlier Detection; R Packages in Nonlinear Regression; A New R Package in Robust Nonlinear Regression; and Object Sets. The first comprehensive coverage of this field covers a variety of both theoretical and applied topics surrounding robust nonlinear regressionAddresses some commonly mishandled aspects of modelingR packages for both classical and robust nonlinear regression are presented in detail in the book and on an accompanying website Robust Nonlinear Regression: with Applications using R is an ideal text for statisticians, biostatisticians, and statistical consultants, as well as advanced level students of statistics.Table of ContentsPreface xiAcknowledgements xiiiAbout the Companion Website xvPart One Theories 11 Robust Statistics and its Application in Linear Regression 31.1 Robust Aspects of Data 31.2 Robust Statistics and the Mechanism for Producing Outliers 41.3 Location and Scale Parameters 51.3.1 Location Parameter 51.3.2 Scale Parameters 91.3.3 Location and Dispersion Models 101.3.4 Numerical Computation of M-estimates 111.4 Redescending M-estimates 131.5 Breakdown Point 131.6 Linear Regression 161.7 The Robust Approach in Linear Regression 191.8 S-estimator 231.9 Least Absolute and Quantile Esimates 251.10 Outlier Detection in Linear Regression 271.10.1 Studentized and Deletion Studentized Residuals 271.10.2 Hadi Potential 281.10.3 Elliptic Norm (Cook Distance) 281.10.4 Difference in Fits 291.10.5 Atkinson’s Distance 291.10.6 DFBETAS 292 NonlinearModels: Concepts and Parameter Estimation 312.1 Introduction 312.2 Basic Concepts 322.3 Parameter Estimations 342.3.1 Maximum Likelihood Estimators 342.3.2 The Ordinary Least Squares Method 362.3.3 Generalized Least Squares Estimate 382.4 A NonlinearModel Example 393 Robust Estimators in Nonlinear Regression 413.1 Outliers in Nonlinear Regression 413.2 Breakdown Point in Nonlinear Regression 433.3 Parameter Estimation 443.4 Least Absolute and Quantile Estimates 443.5 Quantile Regression 453.6 Least Median of Squares 453.7 Least Trimmed Squares 473.8 Least Trimmed Differences 483.9 S-estimator 493.10 ��-estimator 50 3.11 MM-estimate 50 3.12 Environmental Data Examples 53 3.13 NonlinearModels 55 3.14 Carbon Dioxide Data 61 3.15 Conclusion 64 4 Heteroscedastic Variance 67 4.1 Definitions and Notations 69 4.2 Weighted Regression for the Nonparametric Variance Model 69 4.3 Maximum Likelihood Estimates 71 4.4 VarianceModeling and Estimation 72 4.5 Robust Multistage Estimate 74 4.6 Least Squares Estimate of Variance Parameters 75 4.7 Robust Least Squares Estimate of the Structural Variance Parameter 78 4.8 Weighted M-estimate 79 4.9 Chicken-growth Data Example 80 4.10 Toxicology Data Example 85 4.11 Evaluation and Comparison of Methods 87 5 Autocorrelated Errors 89 5.1 Introduction 89 5.2 Nonlinear Autocorrelated Model 90 5.3 The Classic Two-stage Estimator 91 5.4 Robust Two-stage Estimator 92 5.5 Economic Data 93 5.6 ARIMA(1,0,1)(0,0,1)7 Autocorrelation Function 103 6 Outlier Detection in Nonlinear Regression 107 6.1 Introduction 107 6.2 Estimation Methods 108 6.3 Point Influences 109 6.3.1 Tangential Plan Leverage 110 6.3.2 Jacobian Leverage 111 6.3.3 Generalized and Jacobian Leverages for M-estimator 112 6.4 Outlier DetectionMeasures 115 6.4.1 Studentized and Deletion Studentized Residuals 116 6.4.2 Hadi’s Potential 117 6.4.3 Elliptic Norm (Cook Distance) 117 6.4.4 Difference in Fits 118 6.4.5 Atkinson’s Distance 118 6.4.6 DFBETAS 118 6.4.7 Measures Based on Jacobian and MM-estimators 119 6.4.8 Robust Jacobian Leverage and Local Influences 119 6.4.9 Overview 121 6.5 Simulation Study 122 6.6 Numerical Example 128 6.7 Variance Heteroscedasticity 134 6.7.1 Heteroscedastic Variance Studentized Residual 136 6.7.2 Simulation Study, Heteroscedastic Variance 140 6.8 Conclusion 141 Part Two Computations 143 7 Optimization 145 7.1 Optimization Overview 145 7.2 Iterative Methods 146 7.3 Wolfe Condition 148 7.4 Convergence Criteria 149 7.5 Mixed Algorithm 150 7.6 Robust M-estimator 150 7.7 The Generalized M-estimator 151 7.8 Some Mathematical Notation 151 7.9 Genetic Algorithm 152 8 nlr Package 153 8.1 Overview 153 8.2 nl.form Object 154 8.2.1 selfStart Initial Values 159 8.3 Model Fit by nlr 161 8.3.1 Output Objects, nl.fitt 164 8.3.2 Output Objects, nl.fitt.gn 167 8.3.3 Output Objects, nl.fitt.rob 169 8.3.4 Output Objects, nl.fitt.rgn 169 8.4 nlr.control 170 8.5 Fault Object 172 8.6 Ordinary Least Squares 172 8.7 Robust Estimators 175 8.8 Heteroscedastic Variance Case 179 8.8.1 Chicken-growth Data Example 179 8.8.2 National Toxicology Study Program Data 183 8.9 Autocorrelated Errors 184 8.10 Outlier Detection 193 8.11 Initial Values and Self-start 201 9 Robust Nonlinear Regression in R 207 9.1 Lakes Data Examples 207 9.2 Simulated Data Examples 211 A nlr Database 215 A.1 Data Set used in the Book 215 A.1.1 Chicken-growth Data 216 A.1.2 Environmental Data 216 A.1.3 Lakes Data 218 A.1.4 Economic Data 221 A.1.5 National Texicology Program(NTP) Data 223 A.1.6 CowMilk Data 223 A.1.7 Simulated Outliers 225 A.1.8 Artificially Contaminated Data 227 A.2 Nonlinear Regression Models 227 A.3 Robust Loss FunctionsData Bases 229 A.4 Heterogeneous Variance Models 229 References 233 Index 239
£89.82
Taylor & Francis Ltd Control of FluidContaining Rotating Rigid Bodies
Book SynopsisThis book is devoted to the study of the dynamics of rotating bodies with cavities containing liquid. Two basic classes of motions are analyzed: rotation and libration. Cases of complete and partial filling of cavities with ideal liquid and complete filling with viscous liquid are treated. The volume presents a method for obtaining relations between angular velocities perpendicular to main rotation and external force momentums, which are treated as control. The developed models and methods of solving dynamical problems as well as numerical methods for solving problems of optimal control can be used for studying the dynamics of aircraft in the atmosphere and spacecraft with stores of liquid fuel, which are rotating around some axis for stabilization. The results are also applicable in the development of fast revolving rotors, centrifuges and gyroscopes, which have cavities filled with liquid. This work will be of interest to researchers at universities and laboratorieTable of ContentsIntroduction 1. Control of a rotating rigid body with a cavity completely filled with an ideal fluid 2. Control of a rotating rigid body containing a fluid with free surface 3. Oscillations of a plate in a viscous fluid 4. Control of a rotating rigid body containing a viscous fluid Conclusion
£999.99
Taylor & Francis Ltd Reflexion and Control Mathematical Models 5
Book SynopsisThis book is dedicated to modern approaches to mathematical modeling of reflexive processes in control. The authors consider reflexive games that describe the gametheoretical interaction of agents making decisions based on a hierarchy of beliefs regarding (1) essential parameters (informational reflexion), (2) decision principles used by opponents (strategic reflexion), (3) beliefs about beliefs, and so on. Informational and reflexive equilibria in reflexive games generalize a series of well-known equilibrium concepts in noncooperative games and models of collective behavior. These models allow posing and solving the problems of informational and reflexive control in organizational, economic, social and other systems, in military applications, etc. (the interested reader will find in the book over 30 examples of possible applications in these fields) and describing uniformly many psychological/sociological phenomena connected with reflexion, viz., implicit control, informational control via the mass media, reflexion in chess, art works, etc. The present book is intended for experts in decision making and control of systems of an interdisciplinary nature, as well as for undergraduates and postgraduates.Table of ContentsIntroduction. 1. Reflexion in decision-making 2. Informational reflexion and control 3. Strategic reflexion and control 4. Applied models of informational and reflexive control. Conclusion.
£104.50
Taylor & Francis Ltd Algebras Rings and Modules Volume 2
Book SynopsisThe theory of algebras, rings, and modules is one of the fundamental domains of modern mathematics. General algebra, more specifically non-commutative algebra, is poised for major advances in the twenty-first century (together with and in interaction with combinatorics), just as topology, analysis, and probability experienced in the twentieth century. This is the second volume of Algebras, Rings and Modules: Non-commutative Algebras and Rings by M. Hazewinkel and N. Gubarenis, a continuation stressing the more important recent results on advanced topics of the structural theory of associative algebras, rings and modules. Table of ContentsRings related to finite posets. Distributive and semidistributive rings. The group of extensions. Modules over semiperfect rings. Representations of primitive posets. Representations of quivers, species and finite dimensional algebras. Artinian rings of finite representation type. O-species and SPSD-rings of bounded representation type.
£166.25
Taylor & Francis Ltd Probability and Statistics for Computer
Book SynopsisPraise for the Second Edition:The author has done his homework on the statistical tools needed for the particular challenges computer scientists encounter... [He] has taken great care to select examples that are interesting and practical for computer scientists. ... The content is illustrated with numerous figures, and concludes with appendices and an index. The book is erudite and could work well as a required text for an advanced undergraduate or graduate course. ---Computing ReviewsProbability and Statistics for Computer Scientists, Third Edition helps students understand fundamental concepts of Probability and Statistics, general methods of stochastic modeling, simulation, queuing, and statistical data analysis; make optimal decisions under uncertainty; model and evaluate computer systems; and prepare for advanced probability-based courses. Written in a lively style with simple language and now including R as well as MATLAB, this classroom-tesTable of Contents 1. Introduction and Overview 2. Probability 3. Discrete Random Variables and Their Distributions 4. Continuous Distributions 5. Computer Simulations and Monte Carlo Methods 6. Stochastic Processes 7. Queuing Systems 8. Introduction to Statistics 9. Statistical Inference I 10. Statistical Inference II 11. Regression 12. Appendix
£94.50
Taylor & Francis Ltd Statistics for Engineering and the Sciences Sixth
Book SynopsisThis text is designed for a two-semester introductory course in statistics for students majoring in engineering or any of the physical sciences. Inevitably, once these students graduate and are employed, they will be involved in the collection and analysis of data and will be required to think critically about the results. Consequently, they need to acquire knowledge of the basic concepts of data description and statistical inference and familiarity with statistical methods they are required to use on the job.
£135.00
Taylor & Francis Ltd Discrete Mathematics with Ducks
Book SynopsisDiscrete Mathematics with Ducks, Second Edition is a gentle introduction for students who find the proofs and abstractions of mathematics challenging. At the same time, it provides stimulating material that instructors can use for more advanced students. The first edition was widely well received, with its whimsical writing style and numerous exercises and materials that engaged students at all levels. The new, expanded edition continues to facilitate effective and active learning. It is designed to help students learn about discrete mathematics through problem-based activities. These are created to inspire students to understand mathematics by actively practicing and doing, which helps students better retain what theyâve learned. As such, each chapter contains a mixture of discovery-based activities, projects, expository text, in-class exercises, and homework problems. The authorâs lively and friendly writing style is appealing to both instruTable of ContentsPreface for Instructors and Other TeachersPreface for Students and Other LearnersTheme: The Basics1 Counting and Proofs2 Sets and Logic3 Graphics and Functions4 Induction5 Algorithms with CiphersTheme I Supplement6 Binomial Coefficients and Pascal’s Triangle7 Balls and Boxes and PIE: Counting Techniques8 Recurrences9 Cutting Up Food: Counting and GeometryIII Theme: Graph Theory10 Trees11 Euler’s Formula and Applications12 Graph Traversals13 Graph ColoringTheme III Supplement: Problems on the Theme of Graph TheoryIV Other Material14 Probability and Expectation15 Fun with Cardinality16 Number Theory17 Computational ComplexityA Solutions to Check Yourself ProblemsB Solutions to Bonus Check-Yourself ProblemsC The Greek Alphabet and Some Uses for Some LettersD List of SymbolsBibliographyIndex
£104.50
Taylor & Francis Ltd A Practical Guide to Managing Clinical Trials
Book SynopsisA Practical Guide to Managing Clinical Trials is a basic, comprehensive guide to conducting clinical trials. Designed for individuals working in research site operations, this user-friendly reference guides the reader through each step of the clinical trial process from site selection, to site set-up, subject recruitment, study visits, and to study close-out. Topics include staff roles/responsibilities/training, budget and contract review and management, subject study visits, data and document management, event reporting, research ethics, audits and inspections, consent processes, IRB, FDA regulations, and good clinical practices. Each chapter concludes with a review of key points and knowledge application.Unique to this book is A View from India, a chapter-by-chapter comparison of clinical trial practices in India versus the U.S. Throughout the book and in Chapter 10, readers will glimpse some of the challenges and opportunities in the emerging and Trade Review'"A Practical Guide to Managing Clinical Trials" provides a good introduction to the basics of clinical research for investigators, study coordinators, and other site personnel. The clear writing makes the book a quick read.' – Norman M. Goldfarb for Journal of Clinical Research Best Practices, Vol. 13, No. 12, December 2017.'"A Practical Guide to Managing Clinical Trials" provides a good introduction to the basics of clinical research for investigators, study coordinators, and other site personnel. The clear writing makes the book a quick read.' – Norman M. Goldfarb for Journal of Clinical Research Best Practices, Vol. 13, No. 12, December 2017.Table of ContentsChapter 1: Rules, Roles and ResponsibilitiesChapter 2: Products, Protocols, and Pre-trial PreparationChapter 3: Sponsor, Site and Study Start-upChapter 4: Enticement, Enrollment, and Engagement: The Informed Consent ProcessChapter 5: From Enrollment to Final VisitChapter 6: Collaborating for Compliance and Quality Data – Monitoring and AuditsChapter 7: Building BudgetsChapter 8: Contracts, Clauses and Closing the DealChapter 9: US Clinical Trials – Additional TopicsChapter 10: Clinical Research and India
£87.39
Taylor & Francis Ltd Stochastic Communities
Book SynopsisStochastic Communities presents a theory of biodiversity by analyzing the distribution of abundances among species in the context of a community. The basis of this theory is a distribution called the J distribution. This distribution is a pure hyperbola and mathematically implied by the stochastic species hypothesis assigning equal probabilities of birth and death within the population of each species over varying periods of time. The J distribution in natural communities has strong empirical support resulting from a meta-study and strong theoretical support from a theorem that is mathematically implied by the stochastic species hypothesis.Trade Review"The science of ecology suffers from a disconnect between theory and direct observation. Mathematicians have thought that simple equations could explain ecology. Field ecologists have assumed the mathematicians are right. Thus, empirical ecological understanding and prediction have suffered. Dewdney is an exceptions; he does field work and he is a mathematician. In his wonderful book, he takes advantage of both parts of ecology. And if Dewdney has done his math right, this book opens a whole new door to understanding biodiversity and its myriad causes."- Daniel Botkin, Professor Emeritus in the Department of Ecology, Evolution, and Marine Biology at the University of California, Santa Barbara, and President of the Center for the Study of the Environment"… development of a theory and guide to sampling, … it will be of great interest to both empirical and theoretical ecologists." - Trends in Ecology and EvolutionTable of ContentsThe J-curve and the J distribution. The J-distribution and its variations. Sampling in practice and in theory. Compiling and analysing field data. Predictions from data. Extending the sample. Stochastic systems and the stochastic community. The metastudy: A review. Fossil J-curves. Summary of theory and open problems. Appendix A: Mathematical Notes and Computer Tools. Appendix B: Results of the metastudy for the J distribution. Appendix C: Results of the test for the J distribution in taxonomic data.
£166.25
Taylor & Francis Ltd Approximation Techniques for Engineers
Book SynopsisThis second edition includes eleven new sections based on the approximation of matrix functions, deflating the solution space and improving the accuracy of approximate solutions, iterative solution of initial value problems of systems of ordinary differential equations, and the method of trial functions for boundary value problems. The topics of the two new chapters are integral equations and mathematical optimization. The book provides alternative solutions to software tools amenable to hand computations to validate the results obtained by black box solvers. It also offers an insight into the mathematics behind many CAD, CAE tools of the industry. The book aims to provide a working knowledge of the various approximation techniques for engineering practice.Trade Review"Dr. Komzsik's book is a rare combination of the basic knowledge in the areas of approximation and computational mechanics which is essential for an engineer. Exhaustive coverage of all the topics along with lucid presentation of the concepts and a wide variety of illustrative problems make this book a valuable source for advanced users. Logical sequence of the topics and nomenclature even allows beginners to cope with the complex field of approximation methods in science and technology. This book contains a large amount of information not found in standard textbooks. Written for the engineer involved in complex issues, it combines the modern mathematical standards of numerical analysis with an understanding on how to effectively use these abstract methods. The new edition features integral equations and mathematical optimization methods toward their practical usage in the focus of finite and boundary element methods in solitary and coupled formulation as well." —Thomas Flöck, R&D Engineer, Siemens Digital Factory/Motion Control, Erlangen, Germany"The first edition of Louis Komzsik' s book was an extremely valuable source of numerical routines for the last decade pushing the envelope in automotive applications. We awaited this second edition book for years and looking forward utilizing it in our work.The BMW i8 model in the picture on the front depicts the various stages of approximations during the development of a car, ranging from sketches through finite element models to the final geometry. In this process engineers use many of the methods described in this book."—Daniel Heiserer, BMW, Munich, Germany"This book features an approachable blend of theoretical motivation with illustrative examples. Many of the methods described lend themselves to a matrix formulation, making them suitable for implementation using MATLAB®. The second edition is further improved by the inclusion of solutionTable of ContentsPreface. Part I Data approximations. Classical interpolation methods. Approximation with splines. Least squares approximation. Approximation of functions. Numerical differentiation. Numerical integration. Part II Approximate solutions. Nonlinear equations in one variable. Systems of nonlinear equations. Iterative solution of linear systems. Approximate solution of eigenvalue problems. Initial value problems. Boundary value problems. Integral equations. Mathematical optimization.
£104.50
McGraw-Hill Education McGrawHill Education SAT Subject Test Math Level
Book Synopsis We Will Help You Get Your Best Score! With more than 125 years of experience in education, McGraw-Hill Education is the name you trust to deliver results. This MHE guide is the most comprehensive and relevant SAT Subject Test prep tool on the market. This edition provides: â9 full-length practice tests with thorough answer explanations âA comprehensive review of all Math Level 2 concepts essential to success on the SAT Subject Test âAn extensive overview of the format of the test based on the most recent SAT Math Level 2 exams âUnique test-taking strategies and tips recommended by teachers to help you raise your score âA customizable study plan to help you m
£16.98
Pearson Education Limited Essentials of College Algebra Global Edition
Book SynopsisTable of ContentsR. Review of Basic Concepts. R.1 Sets R.2 Real Numbers and Their Properties R.3 Polynomials R.4 Factoring Polynomials R.5 Rational Expressions R.6 Rational Exponents R.7 Radical Expressions 1. Equations and Inequalities 1.1 Linear Equations 1.2 Applications and Modeling with Linear Equations 1.3 Complex Numbers 1.4 Quadratic Equations 1.5 Applications and Modeling with Quadratic Equations 1.6 Other Types of Equations and Applications 1.7 Inequalities 1.8 Absolute Value Equations and Inequalities 2. Graphs and Functions 2.1 Rectangular Coordinates and Graphs 2.2 Circles 2.3 Functions 2.4 Linear Functions 2.5 Equations of Lines and Linear Models 2.6 Graphs of Basic Functions 2.7 Graphing Techniques 2.8 Function Operations and Composition 3. Polynomial and Rational Functions. 3.1 Quadratic Functions and Models 3.2 Synthetic Division 3.3 Zeros of Polynomial Functions 3.4 Polynomial Functions: Graphs, Applications, and Models 3.5 Rational Functions: Graphs, Applications, and Models 3.6 Variation 4. Inverse, Exponential, and Logarithmic Functions. 4.1 Inverse Functions 4.2 Exponential Functions 4.3 Logarithmic Functions 4.4 Evaluating Logarithms and the Change-of-Base Theorem 4.5 Exponential and Logarithmic Equations 4.6 Applications and Models of Exponential Growth and Decay 5. Systems and Matrices 5.1 Systems of Linear Equations 5.2 Matrix Solution of Linear Systems 5.3 Determinant Solution of Linear Systems 5.4 Partial Fractions 5.5 Nonlinear Systems of Equations 5.6 Systems of Inequalities and Linear Programming 5.7 Properties of Matrices 5.8 Matrix Inverses Glossary Solutions to Selected Exercises Answers to Selected Exercises Index of Applications Index
£61.74
Pearson Education Limited Calculus with Applications Global Edition
Book SynopsisTable of Contents R. Algebra Reference R-1 Polynomials R-2 Factoring R-3 Rational Expressions R-4 Equations R-5 Inequalities R-6 Exponents R-7 Radicals 1. Linear Functions 2. Nonlinear Functions 3. The Derivative 4. Calculating the Derivative 5. Graphs and the Derivative 6. Applications of the Derivative 7. Integration 8. Further Techniques and Applications of Integration 9. Multivariable Calculus 10. Differential Equations 11. Probability and Calculus 12. Sequences and Series 13. The Trigonometric Functions Tables Answers to Selected Exercises Photo Acknowledgements Index
£76.94
Pearson Education Limited Calculus with Applications Global Edition MyLab
Book SynopsisThis package includes MyMathLab. For freshman/sophomore, 2-semester (2-3 quarter) courses covering applied calculus for students in business, economics, social sciences, or life sciences. Calculus with Applications, Eleventh Edition by Lial, Greenwell, and Ritchey, is our most applied text to date, making the math relevant and accessible for students of business, life science, and social sciences. Current applications, many using real data, are incorporated in numerous forms throughout the book, preparing students for success in their professional careers. With this edition, students will find new ways to help them learn the material, such as Warm-Up Exercises and added help text within examples. This package includes MyMathLab, an online homework, tutorial, and assessment program designed to work with this text to personalize learning and improve results. With a wide range of inte
£86.85
Pearson Education Statistics MyLab Statistics with Pearson eText
Book Synopsis
£87.73
Pearson Education Limited Gold C1 Advanced New Edition Students eText
Book Synopsis
£42.40
Pearson Education Calculus Its Applications Global Edition MyLab
Book Synopsis Larry Goldstein has received several distinguished teaching awards, given more than fifty Conference and Colloquium talks & addresses, and written more than fifty books in math and computer programming. He received his PhD at Princeton and his BA and MA at the University of Pennsylvania. He also teaches part time at Drexel University. David Lay holds a BA from Aurora University (Illinois), and an MA and PhD from the University of California at Los Angeles. David Lay has been an educator and research mathematician since 1966, mostly at the University of Maryland, College Park. He has published more than 30 research articles on functional analysis and linear algebra, and he has written several popular textbooks. Lay has received four university awards for teaching excellence, including, in 1996, the
£85.80
