LEADER 05589nam 22007453u 450 001 9911006700103321 005 20230803040242.0 010 $a1-5231-2510-1 010 $a0-486-31611-4 035 $a(CKB)3710000000322258 035 $a(EBL)1897509 035 $a(SSID)ssj0001482404 035 $a(PQKBManifestationID)12568265 035 $a(PQKBTitleCode)TC0001482404 035 $a(PQKBWorkID)11412005 035 $a(PQKB)11193313 035 $a(MiAaPQ)EBC1897509 035 $a(Au-PeEL)EBL1897509 035 $a(CaONFJC)MIL563893 035 $a(OCoLC)898770473 035 $a(EXLCZ)993710000000322258 100 $a20141229d2013|||| u|| | 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aModern Mathematics for the Engineer 205 $a1st ed. 210 $aNewburyport $cDover Publications$d2013 215 $a1 online resource (1003 p.) 225 1 $aDover Books on Engineering 300 $aDescription based upon print version of record. 311 08$a0-486-49746-1 327 $aCover; Halftitle; Title Page; Copyright Page; The Authors; Foreword to the 1956 Edition; Preface to the 1956 Edition; Contents; Introduction; PART 1. MATHEMATICAL MODELS; 1 Linear and Nonlinear Oscillations BY SOLOMON LEFSCHETZ; 1.1 Introduction; 1.2 Harmonic Oscillators; 1.3 Damped Oscillations; 1.4 Forced Oscillations; 1.5 Linear and Nonlinear Systems; 1.6 Certain Nonlinear Systems; 1.7 Nonlinear Oscillations in Conservative Systems; 1.8 Nonlinear Forced Oscillations; 1.9 Multivibrator Circuits; 1.10 Mathematical Treatment of Nonlinear Problems; 1.11 Methods of Approximation 327 $a1.12 Duffing's Method1.13 Poincare?'s Perturbation Method; 2 Equilibrium Analysis: The Stability Theory and Liapunov BY RICHARD BELLMAN; 2.1 Introduction; 2.2 The Stability Theory of Poincare? and Liapunov; 2.3 Stability Theory of Linear Equations; 2.4 Differential-difference Equations; 2.5 The Heat Equation; 3 Exterior Ballistics BY JOHN W. GREEN; 3.1 Introduction; 3.2 Selection of Coordinate Systems; 3.3 Aerodynamic Forces on a Projectile; 3.4 The Equations of Motion; 3.5 Ballistic and Firing Tables; 3.6 Corrections for Small Effects; 3.7 Bombing from Airplanes 327 $a3.8 Effects of Aerodynamic Forces Other than Drag3.9 Conclusion and References; 4 Elements of the Calculus of Variations BY MAGNUS R. HESTENES; 4.1 Introduction; 4.2 Some Elementary Variational Problems; 4.3 General Statements of Problems; Necessary Conditions for a Minimum; 4.4 Derivation of the Euler Equations; 4.5 Special Cases; 4.6 Integrands of the Form f(x, y); 4.7 Hamilton's Principle; 4.8 Hamiltonians; 4.9 Isoperimetric Problems; 4.10 Variable End-point Problems; 4.11 Minima of Functions of Integrals; 4.12 Problem of Bolza; 4.13 Multiple-integral Problems 327 $a5 Hyperbolic Partial Differential Equations and Applications BY RICHARD COURANT5.1 Introduction; 5.2 Relation between Partial Differential Equations and Reality; 5.3 Statistical Processes and Partial Differential Equations; 5.4 Classification of Linear Partial Differential Equations; Plane Waves; 5.5 Initial-value Problem for the Wave Equation; 5.6 Nonlinear Hyperbolic Equations; 5.7 Finite-difference Methods; 6 Boundary-value Problems in Elliptic Partial Differential Equations BY MENAHEM M. SCHIFFER; 6.1 What Is a Properly Posed Problem in Partial Differential Equations? 327 $a6.2 Theory of Heat Conduction the Three Main Boundary-value Problems; 6.3 Fundamental Singularities and Green's Functions; 6.4 Maximum Principle, Kernel Function, and Dirichlet Integral; 6.5 Illustrations from Fluid Dynamics and Electrostatics; 6.6 Variation of the Green's Functions with the Domain; 6.7 Variation of the Green's Functions with the Coefficients of the Differential Equation; 7 The Elastostatic Boundary-value Problems BY IVAN S. SOKOLNIKOFF; Formulation of Problems; 7.1 Introduction; 7.2 Two Basic Types of Problems; 7.3 Characterization of Displacements; Strain 327 $a7.4 Characterization of the State of Stress 330 $a This volume and its successor were conceived to advance the level of mathematical sophistication in the engineering community. The books particularly focus on material relevant to solving the kinds of mathematical problems regularly confronted by engineers. Suitable as a text for advanced undergraduate and graduate courses as well as a reference for professionals, Volume One's three-part treatment covers mathematical models, probabilistic problems, and computational considerations. Contributions include chapters on linear and nonlinear oscillations by Solomon Lefschetz, on hyperbolic partial 410 0$aDover Books on Engineering 606 $aMathematics 606 $aMathematical physics 606 $aEngineering mathematics 606 $aCivil & Environmental Engineering$2HILCC 606 $aEngineering & Applied Sciences$2HILCC 606 $aOperations Research$2HILCC 615 0$aMathematics. 615 0$aMathematical physics. 615 0$aEngineering mathematics. 615 7$aCivil & Environmental Engineering 615 7$aEngineering & Applied Sciences 615 7$aOperations Research 676 $a510 700 $aBeckenbach$b Edwin F$01423 702 $aBeckenbach$b Edwin F 702 $aBeckenbach$b Edwin F 801 0$bAU-PeEL 801 1$bAU-PeEL 801 2$bAU-PeEL 906 $aBOOK 912 $a9911006700103321 996 $aModern Mathematics for the Engineer$9358370 997 $aUNINA