Chen, B.M., National University of Singapore, Singapore
Robust and H* Control
2000. XII, 446 pp. 67 figs.
1-85233-255-7
H? control theory deals with the minimization of the H?-norm of the transfer matrix from an exogenous
disturbance to a pertinent controlled output of a given plant. Robust and H? Control examines both the
theoretical and practical aspects of H? control from the angle of the structural properties of linear systems.
Constructive algorithms are provided for finding solutions to: General singular H? control problems;
General H? almost disturbance decoupling problems; Robust and perfect tracking problems.
Theories are also applied to real-life problems with actual implementations. This book can be used for graduate
courses in departments of aeronautics and astronautics, applied mathematics, chemical engineering, electrical
engineering and mechanical engineering. It should also be of great value to engineers practising in industry.
Contents: Introduction.- Linear System Tools.- Structural Mappings of Bilinear Transformations.- Existence
Conditions of H? Suboptimal Controllers.- Solutions of Discrete-time Riccati Equations.- Infima in
Continuous-time H? Optimization.- Solutions to Continuous-time H? Problem.- Continuous-time H? Almost
Disturbance Decoupling.- Robust and Perfect Tracking of Continuous-time Systems.- Infima in Discrete-time H? Optimization.- Solutions to Discrete-time H? Problem.- Discrete-time H? Almost Disturbance Decoupling.-
Robust and Perfect Tracking of Discrete-time Systems.- Design of a Hard Disk Drive Servo Mechanism.- Design of a Piezoelectric Actuator System.- Design of a Gyro-stabilized Mirror Targeting System.- Bibliography.- Index.
Series: Communications and Control Engineering.
Fields: Industrial Process Measurement and Control; Math. Appl. in Engineering
Written for: Libraries, institutes, industry
Book category: Monograph
Publication language: English
Narkiewicz, W., University of Wroclaw, Poland
The Development of Prime Number Theory
From Euclid to Hardy and Littlewood
2000. XII, 448 pp.
3-540-66289-8
This book presents the development of Prime Number Theory from its beginnings until the end of the first decade of the XXth century. Special emphasis is given to the work of Cebysev, Dirichlet, Riemann, Vall?e-Poussin, Hadamard and Landau. The book presents the principal results with proofs and also gives, mostly in short comments, an overview of the development in the last 80 years. It is, however, not a historical book since it does not give biographical details of the people who have played a role in the development of Prime Number Theory.
The book contains a large list of references with more than 1800 items. It can be read by any person with a
knowledge of fundamental notions of number theory and complex analysis.
Keywords: Prime numbers, distribution of primes, primes in progression
Contents: Early Times.- Dirichlet's Theorem on Primes in Arithmetic Progressions.- Cebysev's Theorem.-
Riemann's Zeta-Function and Dirichlet series.- The Prime Number Theorem.- The Turn of the Century.
Series: Springer Monographs in Mathematics.
Fields: Number Theory; Complex Analysis
Written for: Mathematicians and students of mathematics with the knowledge of the fundamental notions of number theory and complex analysis
Book category: Monograph
Publication language: English
Pedroni, P., Universita di Pavia, Italia
Rotondi, A., Universita di Pavia, Italia
(Curatori)
Probabilita. Statistica e Simulazione
Una introduzione con applicazione alle Scienze e all'Ingegneria
2000. ca. 480 pagg.
88-470-0081-5
Il testo, scritto da due fisici nucleari, si rivolge agli studenti universitari dei corsi ad indirizzo scientifico ed a tutti quei ricercatori che devono risolvere problemi concreti che coinvolgono aspetti statistici e di simulazione. Gli argomenti vengono sviluppati partendo dai fondamenti, evidenziandone gli aspetti applicativi, fino alla descrizione dettagliata di molti casi di particolare rilevanza in ambito scientifico e tecnico. Numerosi esempi di esercizi risolti valorizzano il volume ed aiutano il lettore nella comprensione dei punti pi? difficili ed importanti. Alcuni problemi tipici sono affrontati con l'uso del computer e risolti in linguaggio C inclusi nel testo.
Keywords: Probability, Statistics, Simulation, ' Monte Carlo ' s Method '
Contents: 1. La probabilit?. 2. La rappresentazione degli eventi. 3. Calcolo elementare delle probabilit?. 4.
Calcolo delle probabilit? per pi? variabili. 5. Funzioni di variabili aleatorie. 6. Statistica di base. 7. Il metodo
Monte Carlo. 8. Massima verosimiglianza. 9. Verifica delle ipotesi. 10. Minimi quadrati. 11. Analisi dei dati
sperimentali. Appendice A: Tabella dei simboli. Appendice B: Funzioni generatrici. Appendice C: Istogrammi al
calcolatore. Appendice D: Generazione di numeri casuali. Appendice E: Soluzioni dei problemi. Appendice F:
Tabelle.
Series: Springer-Collana di Statistica.
Fields: Statistics for Engineering, Physical Sciences, Computer Science
Written for: Scienziati
tipologia della pubblicazione: Libro di testo per universitari
Publication language: Italienisch
Richter-Gebert, J., ETH Zurich, Switzerland
Kortenkamp, U.H., ETH Zurich, Switzerland
User Manual for the Interactive Geometry Software Cinderella
Tutorial and Reference
2000. Approx. 150 pp.
3-540-67139-0
Cinderella is a unique, technically very sophisticated teachware for geometry. It will be used as a tool by students learning Euclidean, projective, spherical and hyperbolic geometry, as well as in geometric research by scientists.
Moreover, it can also serve as an authors' tool to design web pages with interactive constructions or even
complete geometry exercises.
Fields: Geometry; Mathematical Logic and Set Theory; Mathematics of Computing
Written for: Students in mathematics, computer science and mathematical logic
Book category: Monograph
Publication language: English
Gray, J., The Open University, Milton Keynes, UK
Wilson, R., The Open University, Oxford, UK
Classics from the Mathematical Intelligencer
2000. Approx. 490 pp. 21 figs., 1 in color.
0-387-98686-3
Approximately fifty articles that were published in The Mathematical Intelligencer during its first eighteen years. The selection demonstrates the wide variety of attractive articles that have appeared over the years, ranging from general interest articles of a historical nature to lucid expositions of important current discoveries. Each article is introduced by the editors.
Contents: 1. Addresses, Interviews, Reminiscences; 2. Algebra, Combinatorics, and Number Theory; 3. Analysis
and Applied Mathematics; 4. Arrangements and Patterns; 5. Geometry and Topology; 6. History of Mathematics.
Fields: Mathematics, general
Written for: Math professionals
Book category: Nonfiction
Publication language: English