TY - BOOK ID - 77862837 TI - Mathematical methods for physics and engineering : a comprehensive guide AU - Riley, K. F. AU - Hobson, M. P. AU - Bence, S. J. PY - 2002 SN - 1107133386 128332959X 1139134094 9786613329592 113916497X 1139130390 0511202458 0511078161 0511076592 9780511078163 9780511076596 9781139164979 9780511202452 0521813727 9780521813723 0521890675 9780521890670 9781107133389 9781139134095 6613329592 9781139130394 PB - Cambridge : Cambridge University Press, DB - UniCat KW - Mathematical analysis. KW - 517.1 Mathematical analysis KW - Mathematical analysis UR - https://www.unicat.be/uniCat?func=search&query=sysid:77862837 AB - The new edition of this highly acclaimed textbook contains several major additions, including more than four hundred new exercises (with hints and answers). To match the mathematical preparation of current senior college and university entrants, the authors have included a preliminary chapter covering areas such as polynomial equations, trigonometric identities, coordinate geometry, partial fractions, binomial expansions, induction, and the proof of necessary and sufficient conditions. Elsewhere, matrix decompositions, nearly-singular matrices and non-square sets of linear equations are treated in detail. The presentation of probability has been reorganised and greatly extended, and includes all physically important distributions. New topics covered in a separate statistics chapter include estimator efficiency, distributions of samples, t- and F-tests for comparing means and variances, applications of the chi-squared distribution, and maximum likelihood and least-squares fitting. In other chapters the following topics have been added: linear recurrence relations, curvature, envelopes, curve-sketching, and more refined numerical methods. ER -