LaplaceAndzTransform swMATH ID: 20571 Software Authors: Graf, Urs Description: Applied Laplace transforms and z-transforms for scientists and engineers. A computational approach using a Mathematica package. With CD-ROM. The book presents theory and applications of Laplace and z-transforms together with a Mathematica package developed by the author. The package substantially enhances the built-in Laplace and z-transforms facilities of Mathematica. The emphasis lies on the computational and applied side, particularly in the fields of control engineering, electrical engineering, mechanics (heat conduction, diffusion, vibrations). Many worked out examples from engineering and sciences illustrate the applicability of the theory and the usage of the package. Homepage: http://www.springer.com/gp/book/9783764324278 Dependencies: Mathematica Keywords: textbook; Mathematica package LaplaceAndzTransfrom; inverse Laplace transforms; Laplace transform; \(z\)-transformation; differential equations; difference equations; complex inversion formula; residue calculations; asymptotic analysis; transmission lines; electrical networks; control engineering; heat conduction; vibration problems Related Software: Matlab; Maple; Algorithm 682; CUDA; OEIS; Mathematica Cited in: 12 Publications all top 5 Cited by 27 Authors 1 Brio, Moysey 1 Cain, Jon 1 Castellani, Gastone C. 1 Dostert, Paul 1 Eltayeb, Hassan 1 Gao, Feng 1 Gao, Yanan 1 Górska, Katarzyna 1 Graf, Urs 1 Jin, Xianghua 1 Kano, Patrick O. 1 Kiliçman, Adem 1 Liang, Xin 1 Ludkovsky, Sergey Victor 1 Mainardi, Francesco 1 Mancini, Stefano 1 Merdan, Mehmet 1 Nourmandipour, Alireza 1 Penson, Karol A. 1 Pita Ruiz Velasco, Claudio de Jesús 1 Pita-Ruiz, Claudio 1 Rafiee, Morteza 1 Shen, Dong 1 Şişman, Şeyma 1 Vitali, Silvia 1 Wang, Jinrong 1 Yang, Xiao-Jun all top 5 Cited in 11 Serials 1 Computers & Mathematics with Applications 1 Physics Letters. A 1 Chaos, Solitons and Fractals 1 Mathematical and Computer Modelling 1 Journal of Integer Sequences 1 Qualitative Theory of Dynamical Systems 1 Integers 1 Advances in Difference Equations 1 Journal of Physics A: Mathematical and Theoretical 1 Journal of Nonlinear Science and Applications 1 Advances in Pure Mathematics all top 5 Cited in 16 Fields 5 Partial differential equations (35-XX) 5 Integral transforms, operational calculus (44-XX) 3 Difference and functional equations (39-XX) 2 Number theory (11-XX) 2 Ordinary differential equations (34-XX) 2 Numerical analysis (65-XX) 1 Nonassociative rings and algebras (17-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Citations by Year