Авторизация
Поиск по указателям
Lin C., Segel L. — Mathematics Applied to Deterministic Problems in the Natural Sciences
Обсудите книгу на научном форуме Нашли опечатку?
Название: Mathematics Applied to Deterministic Problems in the Natural SciencesАвторы: Lin C., Segel L. Аннотация: Addresses the construction, analysis, and interpretation of mathematical models that shed light on significant problems in the physical sciences.
The authors' case studies approach leads to excitement in teaching realistic problems. The exercises reinforce, test and extend the reader's understanding. This reprint volume may be used as an upper level undergraduate or graduate textbook as well as a reference for researchers working on fluid mechanics, elasticity, perturbation methods, dimensional analysis, numerical analysis, continuum mechanics and differential equations.
Язык: Рубрика: Математика /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 1988Количество страниц: 629Добавлена в каталог: 06.03.2016Операции: Положить на полку |
Скопировать ссылку для форума | Скопировать ID
Предметный указатель
Absorbing barrier 96 Acrivos, A. 305 Action and reaction 361 457—458 Active transport 245 Adam, G. 109 Adiabatic process 494 AMP 23 Analyticity 59 Analyticity 59 Andronov, A. 344 Angular momentum, conservation of 37 Angular momentum, conservation of 37 Anharmonic periodic behavior 178 Anharmonic periodic behavior 178 Anomaly 45 Anomaly 45 Aphelion 45 Aphelion 45 Applied mathematics 4—8 31—33 Applied mathematics 4—8 31—33 Aris, R. 305 Astronomical unit 11 Astronomical unit 11 Asymptotic approximations 81—89 230 232 Asymptotic approximations 81—89 230 232 Asymptotic approximations to eigenfunctions and eigenvalues 163—165 Asymptotic series 230 232 Asymptotic series 230 232 Asymptotic stability 324 Asymptotic stability 324 Attenuated wave 386 Attenuated wave 386 Autocorrelation function 178 Autocorrelation function 178 Autonomous systems 339 Autonomous systems 339 Availability of energy 501 Availability of energy 501 Average value 76 Average value 76 Axial strain 363 Axial strain 363 Balance law 24 see Balance law 24 see Balancing procedure 282 Balancing procedure 282 Barber, M. 74 Barotropic fluid 512 541 Barotropic fluid 512 541 Basic simplification procedure 186—194 Basic simplification procedure 186—194 Batchelor, G.K. 200 Bell, E.T. 5 114 Bernoulli equation 513—514 556 Bernoulli equation 513—514 556 Bessel equation 164—165 Bessel equation 164—165 Bessel function 80 Bessel function 80 Bessel inequality 146 Bessel inequality 146 Binomial coefficient 75 Binomial coefficient 75 Binomial expansion, use in perturbation theory 234 Binomial expansion, use in perturbation theory 234 Birds, salt glands of 273 Birds, salt glands of 273 Bode’s law 37 Bode’s law 37 Body force 358 454 Body force 358 454 Bok, B.J. 20 Boltzmann's constant 78 Boltzmann's constant 78 Bond number 202 Bond number 202 Bonner, J.T. 22 Bossert, W. 245 boundary conditions 119 121 boundary conditions 119 121 Boundary conditions, elastic bar 366—368 372 Boundary conditions, elastic bar 366—368 372 Boundary conditions, homogeneous 124 126 Boundary layer 288 Boundary layer 288 Bowen, J.R. 305 Brockett, R.W. 32 Brownian motion 73—74 78—79 Brownian motion 73—74 78—79 Brownian motion, recurrence property in 108—110 Brownian motion, recurrence property in 108—110 Buckingham Pi theorem 207 Buckingham Pi theorem 207 Buoyancy 556 Buoyancy 556 Carrier, G.F. 35 298 530 Cauchy’s differential equations 461 Center 341 Center 341 Chain rule 433—434 Chandrasekhar, S. 15 531 Chang, C.T. 530 Change of units rule 205 Characteristic curves 17 Characteristic curves 17 Characteristic equations 17 160 Characteristic equations 17 160 Characteristics, Lagrange’s method of 17 Characteristics, Lagrange’s method of 17 Chemical engineering, scale models in 202—203 Chemical engineering, scale models in 202—203 Chemotaxis 26 Chemotaxis 26 Chinnaswamy, A.V. 583 Circular cylinder, flow past 551—558 Circular cylinder, flow past 551—558 Circulation 555 Circulation 555 Clausius — Duhem inequality 479 Clausius — Duhem inequality 479 Coagulation 97 Coagulation 97 Cohen, H. 32 coin tossing 72 74 coin tossing 72 74 col 340 col 340 Collisions 491 Collisions 491 Completeness 163 Completeness, dimensional 207 COMPLEX 304 COMPLEX 304 Complex representation 379—380 Complex representation 379—380 Compression waves 539—549 Compression waves 539—549 Computation 32 Computation 32 Condensation 541 Condensation 541 Conservation laws see "Mass conservation" Conservation laws see "Mass conservation" Consistency 188 189 Consistency 188 189 Constitutive equations, heat flux 117 Contact force 456 Contact force 456 Continuity equation 357 442 Continuity equation 357 442 Continuous dependence 63 Continuous medium 414 Continuous medium 414 Continuum 3 24 417—418 Continuum 3 24 417—418 Continuum mechanics, validity of 490—491 Convection 353 Convection 353 Convergence 52 Convergence 52 Convergence of perturbation series 232—233 Convergence, absolute 62 Convergence, absolute 62 Convergence, uniform 62 Convergence, uniform 62 Convergent series, compared to asymptotic 84 Cosine series see "Fourier series" Cosine series see "Fourier series" Courant, R. 33 121 Covariance 487 Covariance 487 Critical points 338 Critical points 338 Critical points, behavior of trajectories near 339—341 Critical points, behavior of trajectories near 339—341 Crocodiles, kidney tubules of 273 Crocodiles, kidney tubules of 273 Cross-section paths 350 Cross-section paths 350 Cylindrical coordinates 565 Cylindrical coordinates 565 Dainty, J. 261 Daly, B.J. 530 Darvey, I.G. 344 Deborah number 510 Deborah number 510 Deformation rate 479—480 Degree of freedom 344 Degree of freedom 344 Delbruck, M. 109 Delta function 416 Delta function 416 Den Hartog, J.P. 323 density 355 see density 355 see Deterministic system 42 Deterministic system 42 Diamond, J. 245 Difference equation 91 153 Difference equation 91 153 Differentiability 60 64—65 Differentiability 60 64—65 Differential equations see also "Laplace equation" "Wave Differential equations see also "Laplace equation" "Wave Differential equations, nondimensionalization of 195—198 Differential equations, nondimensionalization of 195—198 Differential equations, residuals for 191—193 Differential equations, system of 42 Differential equations, system of 42 Diffraction integral 584—586 Diffraction integral 584—586 Diffraction of acoustic waves 580—587 Diffraction of acoustic waves 580—587 Diffusion coefficient 78 Diffusion coefficient 78 Diffusion equation 26 93 100 118 120—129 151 156 Diffusion equation 26 93 100 118 120—129 151 156 Diffusion equation, fundamental facts concerning 129 Diffusion equation, fundamental facts concerning 129 Diffusion equation, numerical integration of 153 Diffusion equation, solution by Fourier transform 170—171 Diffusivity 26 255 Diffusivity 26 255 Dilatation 431 Dilatation 431 Dimensional analysis 195—204 Dimensional analysis 195—204 Dimensional analysis of functional relationship 249—252 Dimensional analysis of functional relationship 249—252 Dimensional analysis, comparison of physical and mathematical approaches 259 Dimensional analysis, comparison of physical and mathematical approaches 259 Dimensional analysis, practical examples of 204—205 Dimensional analysis, practical examples of 204—205 Dimensional homogeneity 208 257 Dimensional homogeneity 208 257 Dimensionless groups 197 Dimensionless groups 197 Dimensionless parameters, estimating the size of 264 Dimensionless parameters, estimating the size of 264 Dimensionless parameters, physical interpretation of 272—274 Dimensionless parameters, physical interpretation of 272—274 Dimensionless variables 128 196 517 Dimensionless variables 128 196 517 Dirac delta function 176 Dirac delta function 176 Direct notation 460 Direct notation 460 Dirichlet problem 573 Dirichlet problem 573 Discontinuous solutions 549 Discontinuous solutions 549 Discontinuous solutions for elastic bars 381—384 388—399 Discontinuous solutions for elastic bars 381—384 388—399 Discontinuous solutions for general media 482—485 Discontinuous solutions for general media 482—485 Discrete spectrum 160 Discrete spectrum 160 Displacement 352 Displacement 352 Dissipation function 481 Dissipation function 481 Dissociation 247 Dissociation 247 Distortion, measure of 363 Distortion, measure of 363 Distribution function 15—16 Distribution function 15—16 DNA molecules, collision of 106 DNA molecules, collision of 106 Doherty, R.E. 204 Drag 556 Drag 556 Drew, D. 221 Dubois — Reymond lemma 121 441 Dubois — Reymond lemma 121 441 Dynamics 418 Dynamics 418 D’Alembert’s paradox 557 560—563 D’Alembert’s paradox 557 560—563 Edson, L. 8 Effective radius 260 Effective radius 260 Eiconal equation 396 Eiconal equation 396 Eigenfunctions 157 Eigenfunctions 157 Eigenfunctions, asymptotic approximation 163—165 Eigenfunctions, asymptotic approximation 163—165 Eigenfunctions, completeness 163 Eigenfunctions, completeness 163 Eigenfunctions, linear independence 161 Eigenfunctions, orthogonality 161 Eigenfunctions, properties 405 Eigenfunctions, properties 405 Eigenvalue problem 522 Eigenvalue problem 522 Eigenvalue problem, perturbation theory for 242 Eigenvalues 157 Eigenvalues 157 Eigenvalues, asymptotic approximations to 163—165
Реклама
|
|
О проекте