LEADER 05287nam 2200697Ia 450 001 9910777035003321 005 20230828231229.0 010 $a1-281-37918-2 010 $a9786611379186 010 $a1-61583-037-5 010 $a981-277-482-3 035 $a(CKB)1000000000411802 035 $a(EBL)1679305 035 $a(OCoLC)815571432 035 $a(SSID)ssj0000269449 035 $a(PQKBManifestationID)11226587 035 $a(PQKBTitleCode)TC0000269449 035 $a(PQKBWorkID)10243847 035 $a(PQKB)11304456 035 $a(MiAaPQ)EBC1679305 035 $a(WSP)00005397 035 $a(Au-PeEL)EBL1679305 035 $a(CaPaEBR)ebr10201297 035 $a(CaONFJC)MIL137918 035 $a(EXLCZ)991000000000411802 100 $a20060523d2006 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aWaves and wave forces on coastal and ocean structures$b[electronic resource] /$fRobert T. Hudspeth 210 $aHackensack, N.J. ;$aSingapore $cWorld Scientific$dc2006 215 $a1 online resource (954 p.) 225 1 $aAdvanced series on ocean engineering ;$vv. 21 300 $aDescription based upon print version of record. 311 $a981-238-612-2 320 $aIncludes bibliographical references and index. 327 $aContents ; Preface ; 1 Introduction ; 2 Mathematical Preliminaries ; 2.1 Introduction ; 2.2 Symbols Functions and Linear Operators ; 2.2.1 Landau Order Symbols 0(E) and o(E) (Nayfeh 1973 Chapter 1.3 and Olver 1990 Chapter 12.1.1) ; 2.2.2 Heaviside Step Function U(x-E) 327 $a2.2.3 Kronecker Delta 8mn Function and Dirac Delta 8(x-E) Distribution 2.2.4 Levi-Civita Symbol Eijk(Arfken 1985) ; 2.2.5 Gamma Functions T(o) (Andrews 1985) ; 2.2.6 Error Functions Erf(o) and Erfc(o) (Barcilon 1990 p. 351) ; 2.2.7 Gradient Vector Operator V(o) 327 $a2.2.8 Curl Vector Operator w = V x (o) 2.2.9 Laplacian Operator V2(o) = A(o) ; 2.2.10 Stokes Material Derivative Operator D(o)/Dt ; 2.2.11 Leibnitz's Rule for Differentiation of Integrals with Parameters (Hildebrand 1976 Chapter 7.9) ; 2.2.12 Signum (sign + ) Function 327 $a2.3 Properties of Series 2.3.1 Power Series (Hildebrand 1976 Chapter 4.1) ; 2.3.2 Function Series ; 2.3.3 Maclauren and Taylor Series (Hildebrand 1976 Chapters 4.1 and 7.5) ; 2.3.4 Binomial Expansion (Wylie and Barrett 1982 p.938) 327 $a2.4 Elementary and Special Functions (Hildebrand 1976 Chapter 10.2) 2.4.1 Trigonometric and Hyperbolic Identities ; 2.4.2 Euler's Constant yE (Barcilon 1990 p. 346) ; 2.4.3 Bessel Functions (Hildebrand 1976 Chapters 4.8 to 4.10) ; 2.4.4 Orthogonal Polynomials 327 $a2.5 Linear Ordinary Differential Equations (Hildebrand 1976 Chapters 1.1 to 1.11) and Operational Calculus (Friedman 1956) 330 $a This book focuses on: (1) the physics of the fundamental dynamics of fluids and of semi-immersed Lagrangian solid bodies that are responding to wave-induced loads; (2) the scaling of dimensional equations and boundary value problems in order to determine a small dimensionless parameter ? that may be applied to linearize the equations and the boundary value problems so as to obtain a linear system; (3) the replacement of differential and integral calculus with algebraic equations that require only algebraic substitutions instead of differentiations and integrations; and (4) the importance of c 410 0$aAdvanced series on ocean engineering ;$vv. 21. 606 $aFluid dynamics$xMathematical models 606 $aOcean waves$xMathematical models 606 $aWater waves$xMathematical models 615 0$aFluid dynamics$xMathematical models. 615 0$aOcean waves$xMathematical models. 615 0$aWater waves$xMathematical models. 676 $a624.1/72 700 $aHudspeth$b Robert T$01554704 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910777035003321 996 $aWaves and wave forces on coastal and ocean structures$93816108 997 $aUNINA