Generalized Calculus with Applications to Matter and Forces
Title | Generalized Calculus with Applications to Matter and Forces PDF eBook |
Author | Luis Manuel Braga de Costa Campos |
Publisher | CRC Press |
Pages | 885 |
Release | 2014-04-18 |
Genre | Mathematics |
ISBN | 1482281570 |
Combining mathematical theory, physical principles, and engineering problems, Generalized Calculus with Applications to Matter and Forces examines generalized functions, including the Heaviside unit jump and the Dirac unit impulse and its derivatives of all orders, in one and several dimensions. The text introduces the two main approaches to genera
Linear Differential Equations and Oscillators
Title | Linear Differential Equations and Oscillators PDF eBook |
Author | Luis Manuel Braga da Costa Campos |
Publisher | CRC Press |
Pages | 228 |
Release | 2019-11-05 |
Genre | Mathematics |
ISBN | 0429639627 |
Linear Differential Equations and Oscillators is the first book within Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-volume Set. As a set, they are the fourth volume in the series Mathematics and Physics Applied to Science and Technology. This first book consists of chapters 1 and 2 of the fourth volume. The first chapter covers linear differential equations of any order whose unforced solution can be obtained from the roots of a characteristic polynomial, namely those: (i) with constant coefficients; (ii) with homogeneous power coefficients with the exponent equal to the order of derivation. The method of characteristic polynomials is also applied to (iii) linear finite difference equations of any order with constant coefficients. The unforced and forced solutions of (i,ii,iii) are examples of some general properties of ordinary differential equations. The second chapter applies the theory of the first chapter to linear second-order oscillators with one degree-of-freedom, such as the mechanical mass-damper-spring-force system and the electrical self-resistor-capacitor-battery circuit. In both cases are treated free undamped, damped, and amplified oscillations; also forced oscillations including beats, resonance, discrete and continuous spectra, and impulsive inputs. Describes general properties of differential and finite difference equations, with focus on linear equations and constant and some power coefficients Presents particular and general solutions for all cases of differential and finite difference equations Provides complete solutions for many cases of forcing including resonant cases Discusses applications to linear second-order mechanical and electrical oscillators with damping Provides solutions with forcing including resonance using the characteristic polynomial, Green' s functions, trigonometrical series, Fourier integrals and Laplace transforms
Notes on the Principles of Pure and Applied Calculation
Title | Notes on the Principles of Pure and Applied Calculation PDF eBook |
Author | James Challis |
Publisher | |
Pages | 808 |
Release | 1869 |
Genre | Mathematical physics |
ISBN |
The Economic Calculus and Its Application to Tariff
Title | The Economic Calculus and Its Application to Tariff PDF eBook |
Author | Ewart Scott Grogan |
Publisher | |
Pages | 204 |
Release | 1909 |
Genre | Economics |
ISBN |
A Treatise on Universal Algebra
Title | A Treatise on Universal Algebra PDF eBook |
Author | Alfred North Whitehead |
Publisher | |
Pages | 628 |
Release | 1898 |
Genre | Algebra |
ISBN |
Catalog
Title | Catalog PDF eBook |
Author | University of Illinois (Urbana-Champaign campus). Chicago Undergraduate Division |
Publisher | |
Pages | 132 |
Release | 1964 |
Genre | |
ISBN |
General Catalog
Title | General Catalog PDF eBook |
Author | University of Colorado (Boulder campus) |
Publisher | |
Pages | 432 |
Release | 1954 |
Genre | Universities and colleges |
ISBN |