Letting fx f fy f fxx 2 f 2 fxy 2 f as fyy 2 f 2 we can write the first few terms of 5 f x h k f hfx kfy h2 fxx 2hkfxy k2 fyy where on the right hand side the function f and each of the following partial deriva tives are evaluated at . Numerical analysis mathematics of scientific computing david kincaid and ward cheney publication year 2002 isbn 10 0 8218 4788 0 isbn 13 978 0 8218 4788 6 pure and applied undergraduate texts vol 2. David kincaid ward cheney this book introduces students with diverse backgrounds to various types of mathematical analysis that are commonly needed in scientific computing the subject of numerical analysis is treated from a mathematical point of view offering a complete analysis of methods for scientific computing with appropriate motivations and careful proofs. David kincaid and ward cheney numerical analysis mathematics of scientific computing 3rd edition 2002 american mathematical society providence ri 817pp david r kincaid phd by ward cheney and david kincaid isbn 0 534 8993 7 older versions may be ok here is a pdf ile of the syllabus syllabuspdf file. Numerical analysis mathematics of scientific computing the sally series pure and applied undergraduate texts vol 2 david kincaid ward cheney 9780821847886 amazoncom books