Topics in Engineering Mathematics

Modeling and Methods
1992
ISBN: 978-94-010-4800-2
Verlag: Springer Netherlands

Buch, Englisch, Band 81, 265 Seiten, Paperback, Format (B × H): 160 mm x 240 mm, Gewicht: 452 g

Reihe: Mathematics and Its Applications

'Et moi •.• si j'avait su comment en revenir. je One service mathematics bas rendered the n'y serais point a116.' human race. It bas put common sense back Jules Verne where it belongs. on the topmost shelf next to the dusty cauister labelled 'discarded uonsense·. The series is divergent; therefore we may be EricT. Bell able to do something with it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and nonlineari­ ties abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sci­ ences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One ser­ vice topology has rendered mathematical physics.'; 'One service logic has rendered computer science.'; 'One service category theory has rendered mathematics.'. All arguably true. And all statements obtainable this way form part of the raison d' 8tre of this series.

Zielgruppe

Research

Autoren/Hrsg.

Simonis, J.

van der Burgh, A.H.

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Optimierung
• Mathematik | Informatik EDV | Informatik Informatik Mathematik für Informatiker
• Mathematik | Informatik Mathematik Mathematik Allgemein Diskrete Mathematik, Kombinatorik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure

Inhaltsverzeichnis

A kaleidoscopic excursion into numerical calculations of differential equations.- 1. Introduction.- 2. Logistic equation.- 3. Harmonic oscillator.- 4. Wave equations.- 5. Epilogue.- An introduction to the Finite Element Method.- 1. Introduction.- 2. An elementary example.- 3. The 2-dimensional Poisson equation.- 4. Final remarks.- Coupling of sound and structural vibrations.- 1. Introduction.- 2. Governing equations and analysis.- 3. Numerical results and discussion.- Mathematical modeling and dimensional analysis.- 1. Introduction.- 2. Mathematical Modeling.- 3. Dimensional Analysis.- 4. Four-wheel steering.- About difference equations, algebras and discrete events.- 1. Difference equations.- 2. Changing the algebra.- 3 Example on production.- 4. Some graph theory and the spectral theory of matrices.- 5. A stochastic extension.- 6. Counter versus dater description.- 7. The Z-transform.- 8. Conclusions.- Acoustical detection of obstructions in a pipe with a temperature gradient.- 1. Introduction.- 2. The problem.- 3. The model.- 4. Solution.- 5. Results.- 6. Conclusions.- Interior point approach to linear programming: theory, algorithms and parametric analysis.- 1. Introduction.- 2. Central approach to the theory of LP.- 3. A polynomial-time path-following algorithm.- 4. Parametric analysis.- Some reflections on Newton’s Method.- 1. Introduction and motivation.- 2. Rational Newton Flows.- 3. Structural Stability.- 4. Newton Graphs.- 5. Characterization of Newton Graphs.- 6. Open problems.- Recurrence and induction in Computer Science.- 1. Introduction.- 2. Strings of Symbols.- 3. Gray codes and recursiveness.- 4. Recursive algorithms.