Dewey Class |
004 |
Title |
Applications of Computer Algebra ([EBook] /) / edited by Richard Pavelle. |
Added Personal Name |
Pavelle, Richard editor. |
Other name(s) |
SpringerLink (Online service) |
Publication |
Boston, MA : : Springer US, , 1985. |
Physical Details |
448 p. : online resource. |
ISBN |
9781468468885 |
Summary Note |
Today, certain computer software systems exist which surpass the computational ability of researchers when their mathematical techniques are applied to many areas of science and engineering. These computer systems can perform a large portion of the calculations seen in mathematical analysis. Despite this massive power, thousands of people use these systems as a routine resource for everyday calculations. These software programs are commonly called "Computer Algebra" systems. They have names such as MACSYMA, MAPLE, muMATH, REDUCE and SMP. They are receiving credit as a computational aid with in creasing regularity in articles in the scientific and engineering literature. When most people think about computers and scientific research these days, they imagine a machine grinding away, processing numbers arithmetically. It is not generally realized that, for a number of years, computers have been performing non-numeric computations. This means, for example, that one inputs an equa tion and obtains a closed form analytic answer. It is these Computer Algebra systems, their capabilities, and applications which are the subject of the papers in this volume.: |
Contents note |
1. MACSYMA: Capabilities and Applications to Problems in Engineering and the Sciences -- 2. Modern Symbolic Mathematical Computation Systems -- 3. Using VAXIMA to Write FORTRAN Code -- 4. Applications of Symbolic Mathematics to Mathematics -- 5. Past, Present, and Future Applications of Computer Algebra in Chemistry -- 6. Symbolic Computation in Chemical Education -- 7. A Lisp System for Chemical Groups: Wigner—Eckart Coefficients for Arbitrary Permutation Groups -- 8. Polymer Modeling Applications of Symbolic Computation -- 9. Stability Analysis and Optimal Control of a Photochemical Heat Engine -- 10. Fourier Transform Algorithms for Spectral Analysis Derived with MACSYMA -- 11. Computer Algebra as a Tool for Solving Optimal Control Problems -- 12. Application of MACSYMA to Kinematics and Mechanical Systems -- 13. Stability Analysis of a Robotic Mechanism Using Computer Algebra -- 14. Derivation of the Hopf Bifurcation Formula Using Lindstedt’s Perturbation Method and MACSYMA -- 15. Normal Form and Center Manifold Calculations on MACSYMA -- 16. Symbolic Computation of the Stokes Wave -- 17. Simplifying Large Algebraic Expressions by Computer -- 18. A Proposal for the Solution of Quantum Field Theory Problems Using a Finite-Element Approximation -- 19. Exact Solutions for Superlattices and How to Recognize Them with Computer Algebra -- 20. Computer Generation of Symbolic Generalized Inverses and Applications to Physics and Data Analysis. |
System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users) |
Internet Site |
http://dx.doi.org/10.1007/978-1-4684-6888-5 |
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