Mathematical Methods for Physics and Engineering [ Livre] : a comprehensive guide / Riley Ken ; Hobson Mike ; Bence Stephen

Langue: Anglais.Publication : Cambridge University Press, 2002Description : XXIII-1232 p.ISBN: 0521890675.Classification: 510 MathématiquesRésumé: The new edition of this 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..Sujet - Nom commun: Physique mathématique | Mathématiques de l'ingénieur | Analyse mathématique
Current location Call number Status Notes Date due Barcode
ENS Rennes - Bibliothèque
Mathématiques
515 RIL (Browse shelf) Available 515 Application des mathématiques 00007336

Index

The new edition of this 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.

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