e-book

Mathematical Methods for Physics and Engineering

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Since the publication of the first edition of this book, both through teaching the
material it covers and as a result of receiving helpful comments from colleagues,
we have become aware of the desirability of changes in a number of areas.
The most important of these is that the mathematical preparation of current
senior college and university entrants is now less thorough than it used to be.
To match this, we decided to include a preliminary chapter covering areas such
as polynomial equations, trigonometric identities, coordinate geometry, partial
fractions, binomial expansions, necessary and sufficient condition and proof by
induction and contradiction.

Whilst the general level of what is included in this second edition has not
been raised, some areas have been expanded to take in topics we now feel were
not adequately covered in the first. In particular, increased attention has been
given to non-square sets of simultaneous linear equations and their associated
matrices. We hope that this more extended treatment, together with the inclusion
of singular value matrix decomposition, will make the material of more practical
use to engineering students. In the same spirit, an elementary treatment of linear
recurrence relations has been included. The topic of normal modes has been given
a small chapter of its own, though the links to matrices on the one hand, and to
representation theory on the other, have not been lost.

Elsewhere, the presentation of probability and statistics has been reorganised to
give the two aspects more nearly equal weights. The early part of the probability
chapter has been rewritten in order to present a more coherent development
based on Boolean algebra, the fundamental axioms of probability theory and
the properties of intersections and unions. Whilst this is somewhat more formal
than previously, we think that it has not reduced the accessibility of these topics
and hope that it has increased it. The scope of the chapter has been somewhat
extended to include all physically important distributions and an introduction to
cumulants.

Statistics now occupies a substantial chapter of its own, one that includes systematic
discussions of estimators and their efficiency, sample distributions and tand
F-tests for comparing means and variances. Other new topics are applications
of the chi-squared distribution, maximum-likelihood parameter estimation and
least-squares fitting. In other chapters we have added material on the following
topics: curvature, envelopes, curve-sketching, more refined numerical methods
for differential equations and the elements of integration using Monte Carlo
techniques.

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Ketersediaan

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Informasi Detail

Judul Seri

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No. Panggil

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Penerbit

New York : Cambridge University Press., 2006

Deskripsi Fisik

xxvi, 1333 Hlm.

Bahasa

English

ISBN/ISSN

978-0-511-16842-0

Klasifikasi

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Tipe Isi

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Tipe Media

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Tipe Pembawa

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Edisi

3rd ed.

Subjek

MATEMATIKA

Info Detail Spesifik

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Pernyataan Tanggungjawab

agus

Versi lain/terkait

Lampiran Berkas

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