The nature of mathematical modeling
 Responsibility
 Neil Gershenfeld.
 Language
 English.
 Imprint
 Cambridge, U.K. ; New York : Cambridge University Press, 1999.
 Physical description
 xii, 344 p. : ill. ; 26 cm.
Access
Available online
Math & Statistics Library
Stacks
Call number  Status 

QA401 .G47 1999  Unknown 
QA401 .G47 1999  Unknown 
More options
Creators/Contributors
 Author/Creator
 Gershenfeld, Neil A.
Contents/Summary
 Bibliography
 Includes bibliographical references (p. 330339) and index.
 Contents

 Preface 1. Introduction Part I. Analytical Models: 2. Ordinary differential and difference equations 3. Partial differential equations 4. Variational principles 5. Random systems Part II. Numerical Models: 6. Finite differences: ordinary difference equations 7. Finite differences: partial differential equations 8. Finite elements 9. Cellular automata and lattice gases Part III. Observational Models: 10. Function fitting 11. Transforms 12. Architectures 13. Optimization and search 14. Clustering and density estimation 15. Filtering and state estimation 16. Linear and nonlinear time series Appendix 1. Graphical and mathematical software Appendix 2. Network programming Appendix 3. Benchmarking Appendix 4. Problem solutions Bibliography.
 (source: Nielsen Book Data)
 Publisher's Summary
 This book, about the nature and techniques of mathematical modeling, is oriented towards simple efficient implementations on computers. The text is in three sections. The first covers exact and approximate analytical techniques; the second, numerical methods; the third, model inference based on observations; and the last, the special role of time in modeling. Each of the topics in the book would be the worthy subject of a dedicated text, but only by presenting the material in this way is it possible to make so much material accessible to so many people. Each chapter presents a concise summary of the core results in an area, providing an orientation to what they can (and cannot) do, enough background to use them to solve typical problems, and pointers to access the literature for particular applications. The text is complemented by extensive worked problems.
(source: Nielsen Book Data)
Subjects
 Subject
 Mathematical models.
Bibliographic information
 Publication date
 1999
 Note
 Mathematics & Statistics Library coy 2: "Reprinted (with corrections) 1999, 2000."
 ISBN
 0521570956
 9780521570954 (hardback)