Relativity : an introduction to special and general relativity

Allgemeine Relativitätstheorie. English

Allgemeine Relativitätstheorie. English.

Vectors, pure and applied : a general introduction to linear algebra

Familiar vector spaces -- Gaussian elimination -- Two hundred years of algebra -- Computational matters -- Detached coefficients -- Another fifty years -- A little geometry -- Geometric vectors -- Higher dimensions -- Euclidean distance -- Geometry, plane and solid -- The algebra of square matrices -- The summation convention -- Multiplying matrices -- More algebra for square matrices -- Decomposition into elementary matrices -- Calculating the inverse -- The secret life of determinants -- The area of a parallelogram -- Rescaling -- 3 x 3 determinants -- Determinants of n × n matrices -- Calculating determinants -- Abstract vector spaces -- The space Cn -- Abstract vector spaces -- Linear maps -- Dimension -- Image and kernel -- Secret sharing -- Linear maps from Fn to itself -- Linear maps, bases and matrices -- Eigenvectors and eigenvalues -- Diagonalisation and eigenvectors -- Linear maps from C2to itself -- Diagonalising square matrices -- Iteration's artful aid -- LU factorisation -- Distance preserving linear maps -- Orthonormal bases -- Orthogonal maps and matrices -- Rotations and reflections in R2and R3 -- Reflections in Rn -- QR factorisation -- Diagonalisation for orthonormal bases -- Symmetric maps -- Eigenvectors for symmetric linear maps -- Stationary points -- Complex inner product -- Cartesian tensors -- Physical vectors -- General Cartesian tensors -- More examples -- The vector product -- More on tensors -- Some tensorial theorems -- A (very) little mechanics -- Left-hand, right-hand -- General tensors -- General vector spaces -- Spaces of linear maps -- A look at L(U, V) -- A look at L(U, U) -- Duals (almost) without using bases -- Duals using bases -- Polynomials in L(U, U) -- Direct sums -- The Cayley-Hamilton theorem -- Minimal polynomials -- The Jordan normal form -- Applications -- Vector spaces without distances -- A little philosophy -- Vector spaces over fields -- Error correcting codes -- Vector spaces with distances -- Orthogonal polynomials -- Inner products and dual spaces -- Complex inner product spaces -- More distances -- Distance on L(U, U) -- Inner products and triangularisation -- The spectral radius -- Normal maps -- Quadratic forms and their relatives -- Bilinear forms -- Rank and signature -- Positive definiteness -- Antisymmetric bilinear forms -- Further exercises.

Advanced general relativity : gravity waves, spinning particles, and black holes

International series of monographs on physics ;

A course of pure mathematics

Cambridge mathematical library

Cambridge mathematical library.

Real variables -- Functions of real variables -- Complex numbers -- Limits of functions of a positive integral variable -- Limits of functions of a continuous variable. Continuous and discontinuous functions -- Derivatives and integrals -- Additional theorems in the differential and integral calculus -- Convergence of infinite series and infinite integrals -- Logarithmic, exponential, and circular functions of a real variable -- General theory of the logarithmic, exponential, and circular functions -- proof that every equation has a root -- note on double limit problems -- infinite in analysis and geometry -- infinite in analysis and geometry.

Ordinal measurement in the behavioral sciences

The Purpose of Psychological Assessment -- New Myths and Old Rules -- This Book's Motivation -- Some Historical Background of Testing -- Testing in Developing Countries -- The Evolution of Physical and Psychological Measurement Theory -- The Development of Test Theory and Practice -- Mathematical Models in Testing -- Ordinal Concepts as a Basis for Measurement -- Antitest Arguments -- What Makes a Variable a Scale? -- Scales and Variables -- The Nature of Scientific Scales -- Relevance to Scales and Measurement Methods -- General Principles of Scientific Measurement -- A Fundamental Typology of Data -- Mental Tests and Data Relations -- Types of Assessment -- A Classification of Test Items -- Standard Scores -- Free-Answer With Dichotomous Scoring Assessments -- Free Response With Polytomous Items -- Creative Responses -- Multiple-Choice Items Dichotomously Scored -- Multiple-Choice Tests With Polytomous Scoring -- Types of Item Presentation -- Item Scores and Their Addition to Obtain Total Test Scores in the Case of Dichotomous Items -- Ordinal Measurement -- Tied-Ranks Scores -- Evaluating Items, Tests and Scales -- Combining Item Scores for Dichotomous Items -- Item Scores and Their Addition to Obtain Total Test Scores in the Case of Polytomous Items -- Scoring Polytomous Items -- Types of Polytomous Items -- Polytomous Items Scored Across Persons -- Dominance Analysis of Tests -- Dominance Relations -- Pseudo-Orders From Randomness -- How Dichotomous Items Define an Order -- Data Basic to Assessing Consistency.

From foraging to farming in the Andes : new perspectives on food production and social organization

The central Andean coastal plains and foothills -- Environment and boundary of the study area -- Cultural phase chronology -- Setting the stage in the study area -- Some guiding conceptual issues -- Clarifications and the book's organization -- Research history, methods, and site types / Project methods -- Definition of site types -- Spatial and temporal boundaries of sites -- Pleistocene and Holocene environments from the Zaña to the Chicama valleys 25,000 to 6,000 years ago / An overview of climate in Northern South America from the late glacial maximum to the mid-Holocene -- Biogeography of the Northern Andes from the Pleistocene/Holocene transition to the mid-Holocene -- Environmental records in the study region -- Entomological indicators for paleoclimate -- Stable carbon isotope assays -- El Palto phase (13800-9800 BP) / El Palto subphase (~13800-11700 BP) -- Pircas phase (9800-7800 BP) / Environmental setting -- Architecture and features -- Human remains -- House gardens -- Other subsistence -- The Nanchoc lithic tradition -- Ritualization -- Tierra Blanca phase (7800-5000 BP) / Environment and settlement pattern -- Subsistence patterns -- Technology -- Domestic architecture -- Public architecture -- Burial patterns/treatment of the dead -- Preceramic mounds and hillside villages / Cementerio de Nanchoc site: CA-09-04 -- Non-mound excavation and workshop in zone B -- Geo-chemical and micro-residue evidence for calcite (lime or cal) productions -- Geophysical survey -- Comparative implications of the cementerio de Nanchoc mounds -- The terminal preceramic period at the hillside side of Cerro Guitarra (PV-19-54) --

Human remains / El Plato phase -- Pircas phase -- Tierra Blanca phase -- The question of cannibalism -- Preceramic plant gathering, gardening, and farming / Conceptual beginnings -- Environmental setting -- El Plato phase -- Pircas phase -- Pircas phase plant use -- Tierra Blanca phase -- Terminal preceramic phase -- Modeling early plant use -- Faunal remains / Methods -- Habitats of the exploited fauna -- Seasonality data -- Technological considerations -- Diachronic patterns of faunal exploitation -- Faunal assemblages and domestic architecture -- Technologies and material cultures / Architecture -- Canals -- Preserved gardens and agricultural fields -- Exotic curiosities -- Chipped copper ore and smelted copper -- Lithic technology -- Settlement and landscape patterns / Spatial variability and phase adaptations -- Specific site and phase distributions -- General patterns -- Intact buried cultural deposits -- Population dynamics and estimates -- Population abandonment/aggregation -- Foraging to farming and community development / Pathways to farming -- Early water control -- The Nanchoc tradition : community land use, exchange, and interaction systems -- The economic foundations of Andean civilizations -- Northern Peruvian early and middle preceramic agriculture in Central and South American contexts / The plants, their source areas, and time lines of appearance -- The communities that first cultivated and domesticated plants -- Ritual and technology -- Social units and levels -- Supra-household level -- Landscapes and thresholds -- Bridgehead communities and intergroup fronts -- Widening the scope of interaction -- Small thoughts, big changes -- Radiocarbon dates for all preceramic phases and subphases -- Dry forest biomes of the coastal valleys and lower western slopes in northwestern Peru / Stable carbon isotopes / Faunal species present in preceramic assemblages by phase in the Jequetepeque and Zaña valleys.

Numerical methods of statistics

Cambridge series in statistical and probabilistic mathematics ;

Cambridge series on statistical and probabilistic mathematics ;

Algorithms and Computers -- Introduction -- Computers -- Software and Computer Languages -- Data Structures -- Programming Practice -- Some Comments on R -- References -- Computer Arithmetic -- Introduction -- Positional Number Systems -- Fixed Point Arithmetic -- Floating Point Representations -- Living with Floating Point Inaccuracies -- The Pale and Beyond -- Conditioned Problems and Stable Algorithms -- Programs and Demonstrations -- Exercises -- References -- Matrices and Linear Equations -- Introduction -- Matrix Operations -- Solving Triangular Systems -- Gaussian Elimination -- Cholesky Decomposition -- Matrix Norms -- Accuracy and Conditioning -- Matrix Computations in R -- Programs and Demonstrations -- Exercises -- References.

More Methods for Solving Linear Equations -- Introduction -- Full Elimination with Complete Pivoting -- Banded Matrices -- Applications to ARMA Time-Series Models -- Toeplitz Systems -- Sparse Matrices -- Iterative Methods -- Linear Programming -- Programs and Demonstrations -- Exercises -- References -- Regression Computations -- Introduction -- Condition of the Regression Problem -- Solving the Normal Equations -- Gram-Schmidt Orthogonalization -- Householder Transformations -- Householder Transformations for Least Squares -- Givens Transformations -- Givens Transformations for Least Squares -- Regression Diagnostics -- Hypothesis Tests -- Conjugate Gradient Methods -- Doolittle, the Sweep, and All Possible Regressions -- Alternatives to Least Squares -- Comments -- Programs and Demonstrations -- Exercises -- References.

Eigenproblems -- Introduction -- Theory -- Power Methods -- The Symmetric Eigenproblem and Tridiagonalization -- The QR Algorithm -- Singular Value Decomposition -- Applications -- Complex Singular Value Decomposition -- Programs and Demonstrations -- Exercises -- References -- Functions: Interpolation, Smoothing, and Approximation -- Introduction -- Interpolation -- Interpolating Splines -- Curve Fitting with Splines: Smoothing and Regression -- Mathematical Approximation -- Practical Approximation Techniques -- Computing Probability Functions -- Programs and Demonstrations -- Exercises -- References -- Introduction to Optimization and Nonlinear Equations -- Introduction -- Safe Univariate Methods: Lattice Search, Golden Section, and Bisection -- Root Finding -- First Digression: Stopping and Condition.

Multivariate Newton's Methods -- Second Digression: Numerical Differentiation -- Minimization and Nonlinear Equations -- Condition and Scaling -- Implementation -- A Non-Newton Method: Nelder-Mead -- Programs and Demonstrations -- Exercises -- References -- Maximum Likelihood and Nonlinear Regression -- Introduction -- Notation and Asymptotic Theory of Maximum Likelihood -- Information, Scoring, and Variance Estimates -- An Extended Example -- Concentration, Iteration, and the EM Algorithm -- Multiple Regression in the Context of Maximum Likelihood -- Generalized Linear Models -- Nonlinear Regression -- Parameterizations and Constraints -- Programs and Demonstrations -- Exercises -- References -- Numerical Integration and Monte Carlo Methods -- Introduction -- Motivating Problems -- One-Dimensional Quadrature.

Numerical Integration in Two or More Variables -- Uniform Pseudorandom Variables -- Quasi-Monte Carlo Integration -- Strategy and Tactics -- Programs and Demonstrations -- Exercises -- References -- Generating Random Variables from Other Distributions -- Introduction -- General Methods for Continuous Distributions -- Algorithms for Continuous Distributions -- General Methods for Discrete Distributions -- Algorithms for Discrete Distributions -- Other Randomizations -- Accuracy in Random Number Generation -- Programs and Demonstrations -- Exercises -- References -- Statistical Methods for Integration and Monte Carlo -- Introduction -- Distribution and Density Estimation -- Distributional Tests -- Importance Sampling and Weighted Observations -- Testing Importance Sampling Weights -- Laplace Approximations.

Randomized Quadrature -- Spherical-Radial Methods -- Programs and Demonstrations -- Exercises -- References -- Markov Chain Monte Carlo Methods -- Introduction -- Markov Chains -- Gibbs Sampling -- Metropolis-Hastings Algorithm -- Time-Series Analysis -- Adaptive Acceptance/Rejection -- Diagnostics -- Programs and Demonstrations -- Exercises -- References -- Sorting and Fast Algorithms -- Introduction -- Divide and Conquer -- Sorting Algorithms -- Fast Order Statistics and Related Problems -- Fast Fourier Transform -- Convolutions and the Chirp-z Transform -- Statistical Applications of the FFT -- Combinatorial Problems -- Programs and Demonstrations -- Exercises -- References.

Biography/autobiography awards, 1917-1992 : from the lucky discoverer of America to an unfortunate Vietnam veteran

The Pulitzer Prize archive, Part C, Nonfiction literarue ;

Pulitzer Prize archive ;

Capturing the Women's Army Corps : the World War II photographs of Captain Charlotte T. McGraw

World directory of map collections

IFLA publications ;

Sexual assault quick reference : for health care, social service, and law enforcement professionals

The interplay of morphology and phonology

Oxford surveys in syntax and morphology ;