Francis' Elementary Differential Equations with Applications Part 1: Low Price Edition - Softcover

Inhaltsangabe

A very standard textbook on elementary differential equations, complete in every detail with the applications necessary for the modern world catalyzed by crisis in global trends of climate change, greenhouse effect, engineering design, classical differential equation problems, chemistry, ecology and agriculture, mechanics, circuits, astronomy, and more. Part 1 encompasses the following topics: introduction to elementary differential equations, free fall, nomenclature, ODEs and PDEs, derivative notations, order and degree, linearity, solution families, explicitness and implicitness of solutions, variable separable DEs, brachistochrone problem, determination of duration of total rainfall time, agricultural yield, epidemics, logistic function, Torricelli's law, chemical decomposition, belt tension, machine pistons, ideal and real gases, reaction equilibrium constant, Clausius-Clapeyron equation, barometric equation, Gibbs-Helmholtz Equation, food supply, verhulstic population growth, beam deformation, brachistochrone, Francis' Astronomical Equations, Debye formula for heat capacity, Planck distribution, Maxwell-Boltzmann distribution of molecular speeds, homogeneous DEs, pitfall architectural design, safest slide model, optimal solar panel design (solar collector array problem), exact differential equations, condition of exactness, Maxwell relations, forcefields, thermodynamic optimization, radiactive decay, half-life, radioisotope lifetime, radiocarbon dating, unlimited growth model, growing time for bacteria, limited growth, Mitscherlich model, logistic model, the world census and determining the maximum allowable global population and its year of occurence, demography, Gompertz model, surface tissue growth (cloning), pest growth, wildlife conservation, Newton's law of cooling, boiling time determination, cooling water to ice time durations and calculations, psychrometry, melting ice, time of death, compound interest, orthogonal trajectory, terrain of safest civilization, optimal fish catch, typhoon path dynamics, defensive fortress architecture, pursuit curves (military), LDE, dynamics of a falling body with air resistance directly proportional to velocity, skydiver motion dynamics, determination of the coefficient of kinetic friction, concentration changes in a constantly stirred tank (chemical engineering design), chemical reactions, hormone level monitoring (medicine), elementary circuits and basic design (emf-R, RL, RC, LC, RLC), higher order LDE, springs and pendulums, determination of spring constant, gas-piston spring, design of a modern analytical balance, underdamped spring motion, peaks, frequency, and period, restoring force to make any vibration a simple harmonic motion, estimation of damping coefficient, hypothetical rebounding of earthquake waves, underdamped sea tunnels to facilitate fish migration for fishermen, criticallu-damped motion, SHM, pendulums, LC and RLC with constant emf, Grandfather clock problem, Charpy-Izod pendulum, determination of the value of acceleration of gravity in any planetary body/moon, damped angular frequency and period, almost circular waveform for LC circuits, parabolic waveform for LC, general forms for LDE1, LHDE-3,4; Bernoulli DE, Method of Undetermined Coefficients, Advanced Design of an Earthquake Resistant Building, RLC with sine voltage source, LC with periodic emf, sine-wave restoring force for any vibration, beats and resonance, Variation of Parameters, Wronskians, beam deflections

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.