LEADER 02246nam a22003014i 4500 001 991001626219707536 008 991112s2000 ne a b 001 0 eng 020 $a079236094X 035 $ab12174117-39ule_inst 040 $aDip.to Fisica$beng 082 0 $a530.109034 084 $aLC QC7 084 $a1:5 100 1 $aD'Agostino, Salvo$044475 245 12$aA history of the ideas of theoretical physics :$bessays on the nineteenth and twentieth century physics /$cby Salvo D'Agostino 260 $aDordrecht ;$aBoston :$bKluwer,$cc2000 300 $axviii, 381 p. :$bill. ;$c25 cm 440 0$aBoston studies in the philosophy of science ;$vv. 213 504 $aIncludes bibliographical references (p. 351-377) and index 505 0 $aA consideration on the changing role of mathematics in Ampère's and Weber's electrodynamics -- A survey of the theories of units and dimensions in nineteenth-century physics -- A historical role for dimensional analysis in Maxwell's electromagnetic theory of light -- Problems of theoretical physics in the second half of the nineteenth century -- German electrodynamics in the 1870's -- Hertz's experiments on electromagnetic waves -- Hertz's 1884 theoretical discovery of electromagnetic waves -- A foundation for theoretical physics in Hertz's introduction to Die prinzipien der mechanik -- On Boltzmann's mechanics and his bild-conception of physical theory -- Einstein's correspondence criterium and the construction of general relativity -- Einstein's life-long doubts on the physical foundations of the general relativity and unified field theories -- Correspondence and complementarity in Niels Bohr's papers 1925-1927 -- From the 1926 wave mechanics to a second-quantisation theory: Schr·odinger's new interpretation of wave mechanics and microphysics in the 1950s 650 0$aPhysics$xHistory$y19th century 650 0$aPhysics$xHistory$y20th century 907 $a.b12174117$b08-07-15$c21-05-03 912 $a991001626219707536 945 $aLE006 1:5 DAG$g1$i2006000089838$lle006$o-$pE150.00$q-$rl$s- $t0$u1$v0$w1$x0$y.i12520986$z21-05-03 996 $aHistory of the ideas of theoretical physics$9144893 997 $aUNISALENTO 998 $ale006$b21-05-03$cm$da $e-$feng$gne $h2$i1 LEADER 04631nam 22005293u 450 001 9910784593503321 005 20210114050116.0 010 $a1-281-00390-5 010 $a9786611003906 010 $a0-08-047538-8 035 $a(CKB)1000000000357664 035 $a(EBL)291694 035 $a(OCoLC)476050801 035 $a(MiAaPQ)EBC291694 035 $a(PPN)170257843 035 $a(EXLCZ)991000000000357664 100 $a20140113d2007|||| u|| | 101 0 $aeng 135 $aur|n|---||||| 200 10$aComputational Methods for Modeling of Nonlinear Systems$b[electronic resource] 210 $aBurlington $cElsevier Science$d2007 215 $a1 online resource (413 p.) 225 1 $aMathematics in science and engineering 300 $aDescription based upon print version of record. 311 $a0-444-53044-4 327 $aFront Cover; Computational Methods for Modelling of Nonlinear Systems; Copyright Page; Preface; Table of Contents; Chapter 1 Overview; Part I Methods of Operator Approximation in System Modelling; Chapter 2 Nonlinear Operator Approximation with Preassigned Accuracy; 2.1 Introduction; 2.2 Generic Formulation of the Problem; 2.3 Operator Approximation in Space C([0, 1]); 2.4 Operator Approximation in Banach Spaces by Operator Polynomials; 2.5 Approximation on Compact Sets in Topological Vector Spaces; 2.6 Approximation on Noncompact Sets in Hilbert Spaces 327 $a2.7 Special Results for Maps into Banach Spaces2.8 Concluding Remarks; Chapter 3 Interpolation of Nonlinear Operators; 3.1 Introduction; 3.2 Lagrange Interpolation in Banach Spaces; 3.3 Weak Interpolation of Nonlinear Operators; 3.4 Strong interpolation; 3.5 Interpolation and approximation; 3.6 Some Related Results; 3.7 Concluding Remarks; Chapter 4 Realistic Operators and their Approximation; 4.1 Introduction; 4.2 Formalization of Concepts Related to Description of Real-World Objects; 4.3 Approximation of R-continuous Operators; 4.4 Concluding Remarks 327 $aChapter 5 Methods of Best Approximation for Nonlinear Operators5.1 Introduction; 5.2 Best Approximation of Nonlinear Operators in Banach Spaces: "Deterministic" Case; 5.3 Estimation of Mean and Covariance Matrix for Random Vectors; 5.4 Best Hadamard-quadratic Approximation; 5.5 Best r-Degree Polynomial Approximation; 5.6 Best Causal Approximation; 5.7 Best Hybrid Approximations; 5.8 Concluding Remarks; Part II Optimal Estimation of Random Vectors; Chapter 6 Computational Methods for Optimal Filtering of Stochastic Signals; 6.1 Introduction 327 $a6.2 Optimal Linear Filtering in Finite Dimensional Vector Spaces6.3 Optimal Linear Filtering in Hilbert Spaces; 6.4 Optimal Causal Linear Filtering with Piecewise Constant Memory; 6.5 Optimal Causal Polynomial Filtering with Arbitrarily Variable Memory; 6.6 Optimal Nonlinear Filtering with no Memory Constraint; 6.7 Concluding Remarks; Chapter 7 Computational Methods for Optimal Compression and Reconstruction of Random Data; 7.1 Introduction; 7.2 Standard Principal Component Analysis and Karhunen-Loe?ve Transform (PCA-KLT); 7.3 Rank-constrained Matrix Approximations 327 $a7.4 A Generic Principal Component Analysis and Karhunen-Loe?ve Transform7.5 Optimal Hybrid Transform Based on Hadamard-quadratic Approximation; 7.6 Optimal Transform Formed by a Combination of Nonlinear Operators; 7.7 Optimal Generalized Hybrid Transform; 7.8 Concluding Remarks; Bibliography; Index; Series Page 330 $aIn this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank 410 0$aMathematics in science and engineering 606 $aMathematical models 606 $aNonlinear systems 615 4$aMathematical models. 615 4$aNonlinear systems. 676 $a515.72480113 686 $a31.80$2bcl 700 $aTorokhti$b Anatoli$0307697 701 $aHowlett$b Phil$0429754 801 0$bAU-PeEL 801 1$bAU-PeEL 801 2$bAU-PeEL 906 $aBOOK 912 $a9910784593503321 996 $aComputational Methods for Modeling of Nonlinear Systems$93755170 997 $aUNINA