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Author: Luis Manuel Braga de Costa Campos
Publisher: CRC Press
ISBN: 1482281570
Category : Mathematics
Languages : en
Pages : 885
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Book Description
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
Author: Luis Manuel Braga de Costa Campos
Publisher: CRC Press
ISBN: 1482281570
Category : Mathematics
Languages : en
Pages : 885
Get Book Here
Book Description
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
Author: Luis Manuel Braga da Costa Campos
Publisher: CRC Press
ISBN: 0429639627
Category : Mathematics
Languages : en
Pages : 228
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Book Description
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
Author: Arthur Erdélyi
Publisher:
ISBN:
Category :
Languages : en
Pages : 137
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Author: James Challis
Publisher:
ISBN:
Category : Mathematical physics
Languages : en
Pages : 808
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Author: Ewart Scott Grogan
Publisher:
ISBN:
Category : Economics
Languages : en
Pages : 204
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Author: Alfred North Whitehead
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 628
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Author: University of Illinois (Urbana-Champaign campus). Chicago Undergraduate Division
Publisher:
ISBN:
Category :
Languages : en
Pages : 132
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Author: University of Colorado (Boulder campus)
Publisher:
ISBN:
Category : Universities and colleges
Languages : en
Pages : 432
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Author: Santanu Saha Ray
Publisher: Chapman & Hall/CRC
ISBN: 9780429771774
Category : Mathematics
Languages : en
Pages : 0
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Book Description
This book analyzes the various semi-analytical and analytical methods for finding approximate and exact solutions of fractional order partial differential equations. It explores approximate and exact solutions obtained by various analytical methods for fractional order partial differential equations arising in physical models.
Author: Morton I. Kamien
Publisher: Courier Corporation
ISBN: 0486310280
Category : Mathematics
Languages : en
Pages : 402
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Book Description
Since its initial publication, this text has defined courses in dynamic optimization taught to economics and management science students. The two-part treatment covers the calculus of variations and optimal control. 1998 edition.
