Numerical Mathematics in Scientific Computation

Germund Dahlquist and Åke Björck


Below are the most recent working copies of some chapters from a forthcoming textbook in three volumes
to be published by SIAM, Philadelphia.

Comments and corrections are wellcome and can be sent to akbjo@math.liu.se!
Please remember too that "anything free comes with no guarantee"---there are probably still many uncorrected typos!

Volume I

Chapter 1. Principles of Numerical Calculations 1--68... (dqbjch1.pdf)

Chapter 2. How to Obtain and Estimate Accuracy 1--72... (dqbjch2.pdf)

Chapter 3 Series, Operators and Continued Fractions 1--184... (dqbjch3.pdf)

Chapter 4. Interpolation and Related Subjects 1--142... (dqbjch4.pdf)

Chapter 5. Numerical integration 1--64... (dqbjch5.pdf)

Chapter 6. Scalar Nonlinear Equations 1--72... (dqbjch6.pdf)

Appendix 1--42... (dqbjv1app.pdf)

Volume II

Chapter 7. Direct Methods for Linear Systems 1--144... (dqbjch7.pdf)

Chapter 8. Linear Least Squares Problems 1--116... (dqbjch8.pdf)

Chapter 9. Matrix Eigenvalue Problems 1--120... (dqbjch9.pdf)

Chapter 10. Iterative Methods for Linear Systems 1--82... (dqbjch10.pdf)

Chapter 11. Nonlinear Systems and Optimization 1--64... (dqbjch11.pdf)

Appendix 1--10... (dqbjv2app.pdf)