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Advanced engineering mathematics / Erwin Kreyszig.

By: Publication details: Hoboken, NJ : John Wiley, c2006.Edition: 9th edDescription: 1 v. (various pagings) : ill. ; 27 cmISBN:
  • 0471488852 (hbk.):
  • 9780471488859 (cloth)
  • 0471728977 (hbk.)
  • 9780471728979 (hbk.)
  • 0471726443 (pbk.)
  • 9780471726449 (pbk.)
  • 0471726451 (pbk.)
  • 9780471726456 (pbk.)
  • 047172646X (pbk.)
  • 9780471726463 (pbk.)
Subject(s): LOC classification:
  • QA401 .K7 2006
Contents:
PART A: ORDINARY DIFFERENTIAL EQUATIONS (ODE'S) -- Chapter 1. First-Order ODE's -- Chapter 2. Second Order Linear ODE's -- Chapter 3. Higher Order Linear ODE's -- Chapter 4. Systems of ODE's Phase Plane, Qualitative Methods -- Chapter 5. Series Solutions of ODE's Special Functions -- Chapter 6. Laplace Transforms -- PART B: LINEAR ALGEBRA, VECTOR CALCULUS -- Chapter 7. Linear Algebra: Matrices, Vectors, Determinants: Linear Systems -- Chapter 8. Linear Algebra: Matrix Eigenvalue Problems -- Chapter 9. Vector Differential Calculus: Grad, Div, Curl -- Chapter 10. Vector Integral Calculus: Integral Theorems -- PART C. FOURIER ANALYSIS, PARTIAL DIFFERENTIAL EQUATIONS -- Chapter 11. Fourier Series, Integrals, and Transforms -- Chapter 12. Partial Differential Equations (PDE's) -- Chapter 13. Complex Numbers and Functions -- Chapter 14. Complex Integration -- Chapter 15. Power Series, Taylor Series -- Chapter 16. Laurent Series: Residue Integration -- Chapter 17. Conformal Mapping --Chapter 18. Complex Analysis and Potential Theory -- PART E: NUMERICAL ANALYSIS SOFTWARE -- Chapter 19. Numerics in General -- Chapter 20. Numerical Linear Algebra -- Chapter 21. Numerics for ODE's and PDE's -- PART F: OPTIMIZATION, GRAPHS -- Chapter 22. Unconstrained Optimization: Linear Programming -- Chapter 23. Graphs, Combinatorial Optimization -- PART G: PROBABILITY; STATISTICS -- Chapter 24. Data Analysis: Probability Theory -- Chapter 25. Mathematical Statistics -- Appendix 1: References -- Appendix 2: Answers to Odd-Numbered Problems -- Appendix 3: Auxiliary Material -- Appendix 4: Additional Proofs -- Appendix 5: Tables.

Includes bibliographical references and index.

PART A: ORDINARY DIFFERENTIAL EQUATIONS (ODE'S) -- Chapter 1. First-Order ODE's -- Chapter 2. Second Order Linear ODE's -- Chapter 3. Higher Order Linear ODE's -- Chapter 4. Systems of ODE's Phase Plane, Qualitative Methods -- Chapter 5. Series Solutions of ODE's Special Functions -- Chapter 6. Laplace Transforms -- PART B: LINEAR ALGEBRA, VECTOR CALCULUS -- Chapter 7. Linear Algebra: Matrices, Vectors, Determinants: Linear Systems -- Chapter 8. Linear Algebra: Matrix Eigenvalue Problems -- Chapter 9. Vector Differential Calculus: Grad, Div, Curl -- Chapter 10. Vector Integral Calculus: Integral Theorems -- PART C. FOURIER ANALYSIS, PARTIAL DIFFERENTIAL EQUATIONS -- Chapter 11. Fourier Series, Integrals, and Transforms -- Chapter 12. Partial Differential Equations (PDE's) -- Chapter 13. Complex Numbers and Functions -- Chapter 14. Complex Integration -- Chapter 15. Power Series, Taylor Series -- Chapter 16. Laurent Series: Residue Integration -- Chapter 17. Conformal Mapping --Chapter 18. Complex Analysis and Potential Theory -- PART E: NUMERICAL ANALYSIS SOFTWARE -- Chapter 19. Numerics in General -- Chapter 20. Numerical Linear Algebra -- Chapter 21. Numerics for ODE's and PDE's -- PART F: OPTIMIZATION, GRAPHS -- Chapter 22. Unconstrained Optimization: Linear Programming -- Chapter 23. Graphs, Combinatorial Optimization -- PART G: PROBABILITY; STATISTICS -- Chapter 24. Data Analysis: Probability Theory -- Chapter 25. Mathematical Statistics -- Appendix 1: References -- Appendix 2: Answers to Odd-Numbered Problems -- Appendix 3: Auxiliary Material -- Appendix 4: Additional Proofs -- Appendix 5: Tables.

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