Advanced engineering mathematics
Author(s)
Bibliographic Information
Advanced engineering mathematics
Prentice Hall, c1998
2nd ed
- : hbk
Available at 6 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
  Thailand
  United Kingdom
  Germany
  Switzerland
  France
  Belgium
  Netherlands
  Sweden
  Norway
  United States of America
Note
Includes index
Description and Table of Contents
Description
Appropriate for one- or two-semester Advanced Engineering Mathematics courses in departments of Mathematics and Engineering. This clear, pedagogically rich book develops a strong understanding of the mathematical principles and practices that today's engineers and scientists need to know. Equally effective as either a textbook or reference manual, it approaches mathematical concepts from a practical-use perspective making physical applications more vivid and substantial. Its comprehensive instructional framework supports a conversational, down-to-earth narrative style offering easy accessibility and frequent opportunities for application and reinforcement.
Table of Contents
- I. ORDINARY DIFFERENTIAL EQUATIONS. 1. Introduction to Differential Equations. 2. Equations of First Order. 3. Linear Differential Equations of Second Order and Higher. 4. Power Series Solutions. 5. Laplace Transform. 6. Quantitative Methods: Numerical Solution of Differential Equations. 7. Qualitative Methods: Phase Plane and Nonlinear Differential Equations. II. LINEAR ALGEBRA. 8. Systems of Linear Algebraic Equations
- Gauss Elimination. 9. Vector Space. 10. Matrices and Linear Equations. 11. The Eigenvalue Problem. 12. Extension to Complex Case (Optional). III. SCALAR and VECTOR FIELD THEORY. 13. Differential Calculus of Functions of Several Variables. 14. Vectors in 3-Space. 15.Curves, Surfaces, and Volumes. 16. Scalar and Vector Field Theory. IV. FOURIER SERIES AND PARTIAL DIFFERENTIAL EQUATIONS. 17. Fourier Series, Fourier Integral, Fourier Transform. 18. Diffusion Equation. 19. Wave Equation. 20. Laplace Equation. V. COMPLEX VARIABLE THEORY. 21. Functions of a Complex Variable. 22. Conformal Mapping. 23. The Complex Integral Calculus. 24. Taylor Series, Laurent Series, and the Residue Theorem. Appendix A: Review of Partial Fraction Expansions. Appendix B: Existence and Uniqueness of Solutions of Systems of Linear Algebraic Equations. Appendix C: Table of Laplace Transforms. Appendix D: Table of Fourier Transforms. Appendix E: Table of Fourier Cosine and Sine Transforms. Appendix F: Table of Conformal Maps.
by "Nielsen BookData"