The Bellman Continuum: A Collection of the Works of Richard E. BellmanThis volume is a collection of some of the most significant mathematical works of Prof Richard E Bellman. Ten areas of Prof Bellman's mathematical research were selected by his co-workers for this volume. Each chapter starts with an introductory comment on the significance of Bellman's contribution. Some important mathematical theories are put forward and their applications in physics and biology such as the mathematical aspect of chemotherapy and the analysis of biological systems are included in this book. |
Contents
RICHARD ERNEST BELLMAN | 3 |
DYNAMIC PROGRAMMING | 15 |
130 On a Class of Variational Problems Quarterly of Applied | 47 |
153 Dynamic Programming and the Numerical Solution | 59 |
186 Asymptotic Series for the Solutions of Linear Differential | 71 |
DIFFERENTIALDIFFERENCE EQUATIONS | 73 |
ASYMPTOTIC BEHAVIOR OF SOLUTIONS | 101 |
4 | 114 |
417 with H Kagiwada R Kalaba and S Ueno Numerical | 386 |
MATHEMATICAL BIOLOGY | 411 |
231 with J Jacquez and R Kalaba Some Mathematical Aspects | 433 |
342 with J Jacquez R Kalaba and B Kotkin A Mathematical | 447 |
356 with R Collier H Kagiwada R Kalaba and R Selvester | 461 |
439 with J Jacquez R Kalaba and S Schwimmer Quasilinear | 469 |
Identification of TimeLag | 475 |
499 with R Vasudevan and S Ueno Invariant Imbedding | 481 |
5 | 121 |
6 | 128 |
7 | 135 |
8 | 145 |
9 | 154 |
10 | 161 |
12 | 172 |
13 | 187 |
415 with J Buell and R Kalaba Mathematical Experimentation | 221 |
228 with R Kalaba and G M Wing Invariant Imbedding | 225 |
252 On the Computational Solution of DifferentialDifference | 252 |
244 with R Kalaba and G M Wing Invariant Imbedding | 298 |
280 Invariant Imbedding and Random Walk Proceedings of | 327 |
RADIATIVE TRANSFER | 341 |
407 with H Kagiwada and R Kalaba Invariant Imbedding and | 357 |
QUASILINEARIZATION | 503 |
125 On Explicit Solutions of Some Trinomial Equations in Terms | 510 |
295 with H Kagiwada and R Kalaba Orbit Determination as | 532 |
370 with H Kagiwada and R Kalaba Quasilinearization | 546 |
139 with R Kalaba On the Role of Dynamic Programming | 551 |
51 with T E Harris On AgeDependent Binary Branching Pro | 556 |
275 On the Foundations of a Theory of Stochastic Variational Pro | 601 |
474 with L Zadeh DecisionMaking in a Fuzzy Environment | 629 |
506 with T T Soong and R Vasudevan On Moment Behavior | 653 |
THE IDENTIFICATION OF SYSTEMS | 667 |
459 A New Method for the Identification of Systems Mathemati | 755 |
158 On Monotone Convergence to Solutions of u gu t Pro | |
Other editions - View all
The Bellman Continuum: A Collection of the Works of Richard E. Bellman Richard Ernest Bellman,Robert S. Roth No preview available - 1986 |
Common terms and phrases
albedo analytic angle applications approach approximation assume ASYMPTOTIC BEHAVIOR boundary conditions câ calculus of variations capillary bed Chandrasekhar collision computational consider constant continuous control processes convergence defined derived determined DIFFERENTIAL-DIFFERENCE EQUATIONS diffusion discuss drug dynamic programming expected number extracellular space finite fission formulation functional equation fuzzy set G. M. Wing given incident initial conditions initial value integral equation internal invariant imbedding iteration Jacquez Lemma linear Math mathematical model matrix method neutron transport nonlinear number of neutrons observed obtain ordinary differential equations paper parameters partial differential equation particles physical probability Proc quasilinearization R. E. BELLMAN R. E. KALABA radiation Radiative Transfer RAND Corporation random recurrence relation RICHARD BELLMAN root s(tâ satisfies scattering sequence slab solution source function stochastic tâ techniques THEOREM theory of dynamic thickness tion transformation transport theory UENO value problems variables variational vector yields zero
Popular passages
Page xvii - invariant Imbedding and the Reduction of Two -point Boundary -value Problems to Initial -value Problems,â