Applications of Computer Algebra

Buch | Softcover

448 Seiten

2012 | Softcover reprint of the original 1st ed. 1985
Springer-Verlag New York Inc.
978-1-4684-6890-8 (ISBN)

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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.

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.

Zusatzinfo	448 p.
Verlagsort	New York, NY
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Mathematik / Informatik ► Mathematik ► Algebra
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Computerprogramme / Computeralgebra
	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
ISBN-10	1-4684-6890-1 / 1468468901
ISBN-13	978-1-4684-6890-8 / 9781468468908
Zustand	Neuware