Linear Optimization and Approximation An Introduction to the Theoret
A linear optimization problem is the task of minimizing a linear real-valued function of finitely many variables subject to linear con straints; in general there may be infinitely many constraints. This book is devoted to such problems. Their mathematica
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Fritz John
Courant Institute of Mathematical Sciences New York University New York, NY 10012
Department of
Mathematics University of Califomia Berkeley, CA 94720
Lawrence Slrovich Division of Applied Mathematics Brown University Providence, RI 02912
ADVISORS H. Cabannes University of Paris-VI
J. Keller Stanford University
M. Ghll New York University
J.P. LaSalle Brown University
J.K. Hale Brown University
G.B. Whitham Califomia Inst. of Technology
EDITORIAL STATEMENT The mathematization of all sciences, the fading of traditional scientific boundaries, the impact of computer technology, the growing importance of mathematicalcomputer modelling and the necessity of scientific planning all create the need both in education and research for books that are introductory to and abreast of these developments. The purpose of this series is to provide such books, suitable for the user of mathematics, the mathematician interested in applications, and the student scientist. In particular, this series will provide an outlet for material less formally presented and more anticipatory of needs than finished texts or monographs, yet of immediate interest because of the novelty of its treatment of an application or of mathematics being applied or lying close to applications. The aim of the series is, through rapid publication in an attractive but inexpensive format, to make material of current interest widely accessible. This implies the absence of excessive generality and abstraction, and unrealistic idealization, but with quality of exposition as a goal. Many of the books will originate out of and will stimulate the development of new undergraduate and graduate courses in the applications of mathematics. Some of the books will present introductions to new areas of research, new applications and act as signposts for new directions in the mathematical sciences. This series will often serve as an intermediate stage of the publication of material which, through exposure here, will be further developed and refined. These will appear in conventional format and in hard cover. MANUSCRIPTS The Editors welcome all inquiries regarding the submission of manuscripts for the series. Final preparation of all manuscripts will take place in the editorial offices of the series in the Division of Applied Mathematics, Brown University, Providence, Rhode Island. SPRINGER
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Applied Mathematical Sciences I Volume 45
Applied Mathematical Sciences 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. 35.
John: Partial Differential Equations, 4th ed. (cloth) Sirovich: Techniques of Asymptotic Analysis. Hale: Theory of Functional Differential Equations, 2nd ed. (cloth) Percus: Combinatorial Methods. von Mises/Friedrichs: Fluid Dynamics. Freiberger/Grenander: A Short Course in Computational Probability and Statistics. Pipkin: Lectures on Viscoelasticity Theory. Giacaglia: Perturbation Methods in Non-Linear Systems. Friedrichs: Spectral Theory
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