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[Hillsdale, N.J.] : L. Erlbaum Associates ; Reston, Va. : National Council of Teachers of Mathematics, [1989]
0873532562 (set)
The Research Agenda Conference on Algebra : background and issues / Algebra : what should we teach and how should we teach it? / Critical considerations for the future of algebra instruction / The early learning of algebra : a structural perspective / A question of structure / Cognitive obstacles encountered in the learning of algebra / Different cognitive obstacles in a technological paradigm / Cognitive studies of algebra problem solving and learning / Three ways of improving cognitive studies in algebra / Robust performance in algebra : the role of the problem representation / Artificial intelligence, advanced technology, and learning and teaching algebra / Intelligent tutoring systems : first steps and future directions / Linking representations in the symbol systems of algebra / Critical issues in current representation system theory / School algebra for the year 2000 / Toward school algebra in the year 2000 / An agenda for research on the learning and teaching of algebra / The research agenda in algebra : a mathematics education perspective / The research agenda in algebra : a cognitive science perspective / The research agenda in algebra : a curriculum development perspective / Research studies in how humans think about algebra / Eight reasons for explicit theories in mathematics education / Contexts for research on the teaching and learning of algebra /
Linear algebra: powerful transformations -- Vectors: describing space and motion -- Linear geometry: dots and crosses -- Matrix operations -- Linear transformations -- Systems of linear equations -- Reduced row echelon form -- Span and linear dependence -- Subspaces: special subsets to look for -- Bases: basic building blocks -- Invertible matrices: undoing what you did -- The invertible matrix theorem -- Determinants: numbers that say a lot -- Eigenstuff: revealing hidden structure -- Eigenvectors and eigenvalues: geometry -- Diagonalizability -- Population dynamics: foxes and rabbits -- Differential equations: new applications -- Orthogonality: squaring things up -- Markov chains: hopping around -- Multivariable calculus: derivative matrix -- Multilinear regression: least squares -- Singular value decomposition: so cool -- General vector spaces: more to explore
Overview -- In Situ Data Collection -- Remote-Sensing Data Collection -- Observations About Remote-Sensing -- Remote-Sensing: Art and/or Science? -- Information About an Object or Area -- The Instrument (Sensor) -- Distance: How Far Is Remote? -- Remote-Sensing Advantages and Limitations -- Advantages -- Limitations -- The Remote-Sensing Process -- Statement of the Problem -- Identification of In situ and Remote-Sensing Data Requirements -- Collateral Data Requirements -- Remote-Sensing Data Requirements -- Remote-Sensing Data Collection -- Spectral Information and Resolution -- Spatial Information and Resolution -- Temporal Information and Resolution -- Radiometric Information and Resolution -- Polarization Information -- Angular Information -- Sub-orbital (Airborne) Remote-Sensing Systems -- Satellite Remote-Sensing Systems -- Remote-Sensing Data Analysis -- Analogue (Visual) Image Processing -- Digital Image Processing -- Information Presentation -- Earth Observation Economics -- Remote-Sensing/Digital Image-Processing Careers in the Public and Private Sectors -- Earth Resource Analysis Perspective -- Book Organization -- References -- Overview -- Analogue (Hard-Copy) Image Digitization -- Digital Image Terminology -- Microdensitometer Digitization -- Video Digitization -- Linear and Area Array Charge-Coupled-Device Digitization -- Digitized National Aerial Photography Program (NAPP) Data -- Digitization Considerations -- Digital Remote Sensor Data Collection -- Multispectral Imaging Using Discrete Detectors and Scanning Mirrors -- Multispectral Imaging Using Linear Arrays -- Imaging Spectrometry Using Linear and Area Arrays -- Airborne Digital Cameras -- Satellite Analogue and Digital Photographic Systems -- Multispectral Imaging Using Discrete Detectors and Scanning Mirrors -- Earth Resource Technology Satellites and Landsat 1-7 Sensor Systems -- Landsat Multispectral Scanner -- Landsat Thematic Mapper (TM) -- Landsat 7 Enhanced Thematic Mapper Plus -- NOAA Multispectral Scanner Sensors -- Geostationary Operational Environmental Satellite (GOES) -- Advanced Very-High Resolution Radiometer -- NOAA Suomi NPOESS Preparatory Project (NPP) -- SeaStar Satellite and Sea-viewing Wide Field-of-view Sensor (SeaWiFS) -- SeaWiFS -- Multispectral Imaging Using Linear Arrays -- NASA Earth Observing-1 (EO-1) Advanced Land Imager (ALI) -- Advanced Land Imager (ALI) -- NASA Landsat 8 (LDCM -- Landsat Data Continuity Mission) -- Orbital Land Imager -- SPOT Sensor Systems -- SPOT 1, 2, and 3 -- SPOT 4 and 5 -- SPOT 6 and 7 -- Pleiades -- Pleiades 1A and 1B -- Indian Remote-Sensing Systems -- IRS-1A, -1B, -1C, and -1D -- CartoSat -- ResourceSat -- Korean Aerospace Research Institute (KARI) KOMPSATs -- Astrium, Inc. Sentinel-2 -- Advanced Spaceborne Thermal Emission and Reflection Radiometer (ASTER) -- Multiangle Imaging Spectroradiometer (MISR) -- GeoEye, Inc. (formerly Space Imaging, Inc.), IKONOS-2, GeoEye-1, GeoEye-2 -- IKONOS-1 and -2 -- GeoEye-1 and -2 -- EarthWatch/DigitalGlobe, Inc., QuickBird, WorldView-1, WorldView-2, WorldView-3 -- QuickBird -- World-View-1, -2, and -3 -- ImageSat International, Inc., EROS A and EROS B -- EROS A and EROS B -- RapidEye, Inc. -- RapidEye -- DMC International Imaging, Ltd., SLIM-6 and NigeriaSat-2 -- SLIM-6 -- DMC-NigeriaSat-2 -- Imaging Spectrometry Using Linear and Area Arrays -- NASA EO-1 Hyperion Hyperspectral Imager -- Hyperion -- NASA Airborne Visible/Infrared Imaging Spectrometer (AVIRIS) -- AVIRIS -- Moderate Resolution-Imaging Spectrometer (MODIS) -- NASA Hyperspectral Infrared Imager (HyspiRl) -- Itres, Inc. Compact Airborne Spectrographic Imager-1500 -- CASI-1500 -- SASI-600 -- MASI-600 -- TASI-600 -- HyVista, Inc., HyMap -- Airborne Digital Cameras -- Small-Format Digital Cameras -- Medium-Format Digital Cameras -- Leica Geosystems, Ag., RCD30 -- Large-Format Digital Cameras -- Leica Geosystems, Ag., ADS80, Z/I Imaging DMC Aerial Photography -- Microsoft, Inc., UltraCam Eagle -- Digital Oblique Aerial Photography -- Pictometry International, Inc., Oblique and Vertical Aerial Photography -- Satellite Digital Frame Camera Systems -- U.S. Space Shuttle Photography -- Space Shuttle Analog Cameras -- Space Shuttle and Space Station Digital Photography -- Digital Image Data Formats -- Band Interleaved by Pixel Format -- Band Interleaved by Line Format -- Band Sequential Format -- Summary -- References -- Overview -- Digital Image-Processing Hardware Considerations -- Central Processing Unit Considerations -- History of Central Processing Units and Efficiency Measurement -- Type of Computer -- Personal Computers -- Computer Workstations -- Mainframe Computers -- Read-Only Memory and Random Access Memory -- Serial and Parallel Image Processing -- Mode of Operation and User Interface -- Mode of Operation -- Interactive Graphical User Interface -- Batch Processing -- Computer Operating System and Compiler(s) -- Input Devices -- Output Devices -- Data Storage and Archiving Considerations -- Rapid-Access Mass Storage -- Archiving Considerations-Longevity -- Computer Display Spatial and Colour Resolution -- Computer Screen Display Resolution -- Computer Screen Colour Resolution -- Digital Image Processing Software Considerations -- Image Processing Functions -- Digital Image Processing Software -- Multispectral Digital Image Processing Software -- Geographic Object-based Image Analysis (GEOBIA) -- Hyperspectral Digital Image Processing Software -- LiDAR Digital Image Processing Software -- RADAR Digital Image Processing Software -- Photogrammetric Mapping Software -- Change Detection -- Integration of Digital Image Processing and GIS Functions -- Cost -- Open-Source Digital Image Processing Software -- Open-Source Statistical Analysis Software that can be used for Digital Image Processing -- Digital Image Processing and the National Spatial Data Infrastructure -- References -- Overview -- Image Processing Mathematical Notation -- Sampling Theory -- Types of Sampling -- The Histogram and its Significance to Digital Image Processing -- Metadata -- Viewing Individual Pixel Values at Specific Locations or within a Geographic Area -- Cursor Evaluation of Individual Pixel Brightness Values -- Two- and Three-dimensional Evaluation of Pixel Brightness Values within a Geographic Area -- Univariate Descriptive Image Statistics -- Measure of Central Tendency in Remote Sensor Data -- Measures of Dispersion -- Measures of Distribution (Histogram) Asymmetry and Peak Sharpness -- Multivariate Image Statistics -- Covariance in Multiple Bands of Remote Sensor Data -- Correlation between Multiple Bands of Remotely-Sensed Data -- Feature Space Plots -- Geostatistical Analysis, Autocorrelation and Kriging Interpolation -- Calculating Average Semi-variance -- Empirical Semi-variogram -- References -- Overview -- Image Display Considerations -- Black-and-White Hard-Copy Image Display -- Line Printer/Plotter Brightness Maps -- Laser or Ink-Jet Printer Brightness Maps -- Temporary Video Image Display -- Black-and-White and Colour Brightness Maps -- Image Data Format and Compression Scheme -- Bitmapped Graphics -- RGB Colour Coordinate System -- Colour Look-Up Tables: 8-bit -- Colour Look-Up Tables: 24-bit -- Colour Composites -- Optimum Index Factor -- Sheffield Index -- Independent Component Analysis-Based Fusion for Colour Display of Hyperspectral Images -- Merging (Fusing) Remotely-Sensed Data -- Simple Band Substitution -- Colour Space Transformation and Component Substitution -- RGB to IHS Transformation and Back Again -- Chromaticity Colour Coordinate System and the Brovey Transformation -- Principal Component Analysis (PCA), Independent Component Analysis (ICA), or Gram-Schmidt Substitution -- Pixel-by-Pixel Addition of High-Frequency Information -- Fusion based on Regression Kriging -- Smoothing Filter-Based Intensity Modulation Image Fusion -- Length (Distance) Measurement -- Linear Distance Measurement Based on the Pythagorean Theorem -- Manhattan Distance Measurement -- Perimeter, Area, and Shape Measurement -- Perimeter Measurement -- Area Measurement -- Shape Measurement -- References -- Overview -- Electromagnetic Energy Interactions -- Conduction, Convection, and Radiation -- Electromagnetic Radiation Models -- Wave Model of Electromagnetic Energy -- The Particle Model: Radiation from Atomic Structures -- Atmospheric Energy-Matter Interactions -- Refraction -- Scattering -- Absorption -- Reflectance -- Terrain Energy-Matter Interactions -- Hemispherical Reflectance, Absorptance, and Transmittance -- Radiant Flux Density -- Irradiance and Exitance -- Radiance -- Energy-Matter Interactions in the Atmosphere Once Again -- Energy-Matter Interactions at the Sensor System -- Correcting Remote-Sensing Detector Error -- Random Bad Pixels (Shot Noise) -- Line or Column Drop-Outs -- Partial Line or Column Drop-Outs -- Line-Start Problems -- N-Line Striping -- Remote-Sensing Atmospheric Correction -- Unnecessary Atmospheric Correction -- Necessary Atmospheric Correction -- Types of Atmospheric Correction -- Absolute Radiometric Correction of Atmospheric Attenuation -- Target and Path Radiance -- Atmospheric Transmittance -- Diffuse Sky Irradiance -- Atmospheric Correction Based on Radiative Transfer Modelling -- Absolute Atmospheric Correction Using Empirical Line Calibration -- Relative Radiometric Correction of Atmospheric Attenuation
Going beyond beginning algebra -- Toeing the straight line: linear equations -- Conquering quadratic equations -- Rooting out the rational, radical, and negative -- Graphing your way to the good life -- Formulating function facts -- Sketching and interpreting quadratic functions -- Staying ahead of the curves: polynomials -- Reasoning with rational functions -- Exposing exponential and logarithmic functions -- Cutting up conic sections -- Solving systems of linear equations -- Solving systems of nonlinear equations and inequalities -- Simplifying complex numbers in a complex world -- Making moves with matrices -- Making a list: sequences and series -- Everything you wanted to know about sets -- Ten multiplication tricks -- Ten special types of numbers.
