Series: New Mathematical Monographs (No. 6)
Hardback (ISBN-13: 9780521878579)
Detailing the main methods in the theory of involutive systems of complex vector fields this book examines the major results from the last twenty five years in the subject. One of the key tools of the subject - the Baouendi-Treves approximation theorem - is proved for many function spaces. This in turn is applied to questions in partial differential equations and several complex variables. Many basic problems such as regularity, unique continuation and boundary behaviour of the solutions are explored. The local solvability of systems of partial differential equations is studied in some detail. The book provides a solid background for others new to the field and also contains a treatment of many recent results which will be of interest to researchers in the subject.
* Details the main tools and methods in the theory of involutive systems
of complex vector fields * The Baouendi-Treves approximation theorem is
proved for many function spaces * Provides a solid background for beginners
in the field and also contains a treatment of many recent results of interest
to researchers in the subject
Contents
Preface; 1. Locally integrable structures; 2. The Baouendi-Treves approximation formula; 3. Sussmann’s orbits and unique continuation; 4. Local solvability of vector fields; 5. The FBI transform and some applications; 6. Some boundary properties of solutions; 7. The differential complex associated to a formally integrable structure; 8. Local solvability in locally integrable structures; Epilogue; Bibliography; A. Hardy space lemmas.
Paperback (ISBN-13: 9780898716375)
An introduction to computer-aided system design with SimulinkR: a robust, accurate, and easily used simulation tool. The author takes readers on a tour of the Simulink environment that shows how to develop a system model and execute the design steps needed to make the model into a functioning design laboratory. Included along the way are the mathematics of systems: difference equations and z transforms, ordinary differential equations (both linear and nonlinear) and Laplace transforms, and numerical methods for solving differential equations. Because specific applications require specific tools, this book introduces additional software packages that work within the Simulink environment. The author covers over 70 applications taken from several disciplines, and describes numerous tested, annotated, and reusable models and blocks to help readers apply the book’s material to their own applications. Ideal for practising engineers, and students in model-based design and numerical methods. Additional material is also available online.
* Introduces additional software packages including The Signal Processing
BlocksetR, StateflowR, SimPowerSystemsR and SimMechanicsR * A Web page
offers links to supplementary material about Simulink and its associated
tools from The MathWorks and the author * Intended for practising engineers
who want to learn how to use SimulinkR and related tools, it would also
be valuable to graduate students in model-based design and numerical methods
Contents
List of figures; List of tables; Preface; 1, Introduction to Simulink;
2. Linear differential equations, matrix algebra and control systems; 3.
Nonlinear differential equations; 4. Digital signal processing in Simulink;
5. Random numbers, white noise and stochastic processes; 6. Modeling a
partial differential equation in Simulink; 7. Stateflow * a tool for creating
and coding state diagrams, complex logic, event driven actions and finite
state machines; 8. Physical modeling * SimPowerSystems and SimMechanics;
9. Putting everything together: using Simulink in a system design process;
10. Conclusion * thoughts about broad based
Hardback (ISBN-13: 9780521899222)
Paperback (ISBN-13: 9780521676373)
This is an introductory applied statistics text that can be used for a one- or two-semester course at either the undergraduate or graduate level. Central features are its hands-on approach; the use of real data; the wealth of exercises and illustrated examples using these data; the complete set of detailed answers to exercises in an appendix; the presentation of statistical methods with a clear, conceptual emphasis that includes an historical account of each method; and the integration of SPSS in a way that reflects statistical practice. Step-by-step instructions for using SPSS are provided as each new analytic procedure is introduced. A data CD is included with the text so that students may conduct their own statistical analyses and learn firsthand how statistics is used in practice.
* Conceptual understanding is emphasized through an exploration of underlying
mathematical principles and real world applications * Uses the same real
data sets repeatedly throughout the text to create a more cohesive presentation
that links the different methods of analysis * Includes a data CD so that
students may conduct their own statistical analyses
Contents
1. Introduction; 2. Examining univariate distributions; 3. Measures of location, spread, and skewness; 4. Re-expressing variables; 5. Exploring relationships between two variables; 6. Simple linear regression; 7. Probability fundamentals; 8. Theoretical probability models; 9. The role of sampling in inferential statistics; 10. Inferences involving the mean of a single population when o is known; 11. Inferences involving the mean when o is not known: one and two sample designs; 12. One-way analysis of variance; 13. Two-way analysis of variance; 14. Correlation and simple regression as inferential techniques; 15. An introduction to multiple regression; 16. Nonparametric methods; Appendix A. Data set descriptions; Appendix B. SPSS macro to generate a sampling distribution of means; Appendix C. Statistical tables; Appendix D. References; Appendix E. Solutions to exercises.