File : pdf, 1.3 MB, 73 pages
TOC
1. Introduction
2. Solving finite linear systems of equations
2.1. LINEAR MODEL ESTIMATION
2.2. LEAST-SQUARES ESTIMATION
2.3. MINIMUM NORM ESTIMATION
2.4. MIXED DETERMINED PROBLEMS
2.5. THE CONSISTENCY PROBLEM FOR THE LEAST-SQUARES SOLUTION
2.6. THE CONSISTENCY PROBLEM FOR THE MINIMUM-NORM SOLUTION
2.7. THE NEED FOR A MORE GENERAL REGULARIZATION
2.8. THE TRANSFORMATION RULES FOR THE WEIGHT MATRICES
3. Linear inverse [...]
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Inverse Problems in Geophysics
Newtonian Dynamics
File : pdf, 3.9 MB, 293 pages
TOC
1 Introduction
1.1 Prerequisites
1.2 Scope of Book
1.3 Major Sources
2 Vector Algebra and Vector Calculus
2.1 Introduction
2.2 Scalars and Vectors
2.3 Vector Algebra
2.4 Cartesian Components of a Vector
2.5 Coordinate Transformations
2.6 Scalar Product
2.7 Vector Product
2.8 Rotation
2.9 Scalar Triple Product
2.10 Vector Triple Product
2.11 Vector Calculus
2.12 Line Integrals
2.13 Vector Line Integrals
2.14 Volume Integrals
2.15 Gradient
2.16 Grad Operator
2.17 [...]
Classical Electromagnetism
html documents, not downloadable
CONTENTS
# Introduction
* Intended audience
* Major sources
* Preface
* Outline of course
# Vectors
* Introduction
* Vector algebra
* Vector areas
* The scalar product
* The vector product
* Rotation
* The scalar triple product
* The vector triple product
* Vector calculus
* Line integrals
* Vector line integrals
* Surface integrals
* Vector surface integrals
* Volume integrals
* Gradient
* Divergence
* The Laplacian
* Curl
* Summary
# Time-independent [...]
Advanced Calculus
File : pdf, 50 MB, 592 pages
TOC
Chapt 0 Introduction
1. Logic : quantifiers
2. The logical connectives
3. Negations aof quantifiers
4. Sets
5. Restricted variables
6. Ordered pairs and relations
7. Functions and mappings
8. Product sets, index notation
9. Composition
10. Duality
11. The boolean operations
12. Partitions and equivalence relations
Chapt 1 Vector Spaces
1. Fundamental notions
2. Vector spaces and geometry
3. Produc spaces and Hom(V,W)
4. Affine [...]
Lecture : Atmospheric Thermodynamics
pdf presentation, 3.8 MB, 63 pages
Contents :
Ideal Gas Law (Equation of State)
Hydrostatic Balance
Heat and Temperature
Conduction, Convection, Radiation
Latent Heating
Adiabatic Process
Lapse Rate and Stability
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Lectures on Heat and Thermodynamics
File : pdf, 1.1 MB, 89 pages
CONTENTS
HEAT Feeling and seeing temperature changes
Classic Dramatic Uses of Temperature-Dependent Effects
The First Thermometer
Newton’s Anonymous Table of Temperatures
Fahrenheit’s Excellent Thermometer
Amontons’ Air Thermometer: Pressure Increases Linearly with Temperature
Thermal Equilibrium and the Zeroth Law of Thermodynamics
Measuring Heat Flow: a Unit of Heat
Specific Heats and Calorimetry
A Connection With Atomic Theory
Latent Heat
THERMAL EXPANSION AND [...]
Pressure Relief Valve – Engineering Handbook
File : pdf, 95 pages
TOC
1 Introduction to Crosby Engineering Handbook
2 Fundamentals of Pressure Relief Valve Design
3 Terminology
4 Codes and Standards – Summary
5 Valve Sizing and Selection – U.S.C.S.* Units
6 Valve Sizing and Selection – Metric Units
7 Engineering Support Information
Appendix ASME Section VIII, Division 1, 1992 Edition Exerpts
Other
Information Ordering Information
Pressure Relief Valve Specification Sheet
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Physics Formulary
File : pdf, 372 KB, 106 pages
TOC
1. Mechanics
Point-kinetics in a fixed coordinate system
Relative motion
Point-dynamics in a fixed coordinate system
Point-dynamics in a moving coordinate system
Dynamics of masspoint collections
Dynamics of rigid bodies
Moment of Inertia
Principal axes
Time dependence
Variational Calculus, Hamilton and Lagrange mechanics
2. Electricity & Magnetism
The Maxwell equations
Force and potential
Gauge transformations
Energy of the electromagnetic field
Electromagnetic waves
Multipoles
Electric currents
Depolarizing field
Mixtures of [...]
Semi-Riemann Geometry and General Relativity
File : pdf, 1 MB, 251 pages
TOC
1 The principal curvatures
1.1 Volume of a thickened hypersurface
1.2 The Gauss map and the Weingarten map
1.3 Proof of the volume formula
1.4 Gauss’s theorema egregium
1.4.1 First proof, using inertial coordinates
1.4.2 Second proof. The Brioschi formula
1.5 Problem set – Surfaces of revolution
2 Rules of calculus
2.1 Superalgebras
2.2 Differential forms
2.3 The d operator
2.4 [...]
Nonlinear Inversion and Tomography – Lecture Notes
File : pdf, 1.7 MB, 164 pages
by James G. Berryman
TOC
1. Introduction to the Traveltime Inversion Problem
1.1 Wave Slowness models
1.2 Fermat’s Principle and Traveltime Functionals
1.3 Snell’s Law
1.4 Seismic Inversion and Tomography
1.5 Backprojection for Bent Rays
1.6 Diffraction Tomography and Full Wave Inversion
1.7 Linear vs Nonlinear Inversion and Tomography
2. Feasibility Analysis for Traveltime Inversion
2.1 Feasibility Constraints Defined
2.2 Quick [...]
