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Mathematical techniques an introduction for the engineering, physical, and mathematical sciences

D. W. Jordan (Dominic William) Peter Smith 1935-

Oxford Oxford University Press New York 2002

Localização: FEA - Fac. Econ. Adm. Contab. e Atuária  ACERVO DELFIM NETTO  (B4.9.10 )(Acessar)

  • Título:
    Mathematical techniques an introduction for the engineering, physical, and mathematical sciences
  • Autor: D. W. Jordan (Dominic William)
  • Peter Smith 1935-
  • Assuntos: Mathematical analysis; Analyse mathématique -- Problèmes et exercices; Mathématiques de l'ingénieur -- Problèmes et exercices; ANÁLISE MATEMÁTICA (PROBLEMAS E EXERCÍCIOS); MATEMÁTICA APLICADA
  • Notas: Includes index
  • Descrição: Part I. Elementary methods, differentiation, complex numbers -- 1. Standard functions and techniques -- 2. Differentiation -- 3. Further techniques for differentiation -- 4. Applications of differentiation -- 5. Taylor series and approximations -- 6. Complex numbers -- Part II. Matrix algebra and vectors -- 7. Matrix algebra -- 8. Determinants -- 9. Elementary operations with vectors -- 10. The scalar product -- 11. Vector product -- 12. Linear algebraic equations -- 13. Eigenvalues and eigenvectors -- Part III. Integration and differential equations -- 14. Antidifferentiation and area -- 15. The definite and indefinite integral -- 16. Applications involving the integral as a sum -- 17. Systematic techniques for integration -- 18. Unforced linear differential equations with constant coefficients -- 19. Forced linear differential equations -- 20. Harmonic functions and the harmonic oscillator -- 21. Steady forced oscillations: Phasors, impedance, transfer functions -- 22. Graphical, numerical, and other aspects of first-order equations -- 23. Nonlinear differential equations and the phase plane -- Part IV. Transforms and Fourier series -- 24. The Laplace transform -- 25. Laplace and z transforms: Applications -- 26. Fourier series -- 27. Fourier transforms -- Part V. Multivariable calculus -- 28. Differentiation of functions of two variables -- 29. Functions of two variables: Geometry and formulae -- 30. Chain rules, restricted maxima, coordinate systems -- 31. Functions of any number of variables -- 32. Double integration -- 33. Line integrals -- 34. Vector fields: Divergence and curl -- Part VI. Discrete mathematics -- 35. Sets -- 36. Boolean algebra: Logic gates and switching functions -- 37. Graph theory and its applications -- 38. Difference equations -- Part VII. Probability and statistics -- 39. Probability -- 40. Random variables and probability distributions -- 41. Descriptive statistics -- Part VIII. Projects -- 42. Applications projects using s
    This textbook offers an accessible and comprehensive grounding in many of the mathematical techniques required in the early stages of an engineering or science degree, and also for the routine methods needed by mathematics students
  • Editor: Oxford Oxford University Press New York
  • Data de criação/publicação: 2002
  • Formato: xviii, 862 p ill 25 cm.
  • Idioma: Inglês
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