e-book

Mathematical Methods: For Students of Physics and Related Fields

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This book is intended to help bridge the wide gap separating the level of mathematical
sophistication expected of students of introductory physics from that
expected of students of advanced courses of undergraduate physics and engineering.
While nothing beyond simple calculus is required for introductory
physics courses taken by physics, engineering, and chemistry majors, the next
level of courses—both in physics and engineering—already demands a readiness
for such intricate and sophisticated concepts as divergence, curl, and
Stokes’ theorem. It is the aim of this book to make the transition between
these two levels of exposure as smooth as possible.

I believe that the best pedagogy to teach mathematics to beginning students
of physics and engineering (even mathematics, although some of my mathematical
colleagues may disagree with me) is to introduce and use the concepts
in a multitude of applied settings. This method is not unlike teaching a language
to a child: it is by repeated usage—by the parents or the teacher—of
the same word in different circumstances that a child learns the meaning of
the word, and by repeated active (and sometimes wrong) usage of words that
the child learns to use them in a sentence.

And what better place to use the language of mathematics than in Nature
itself in the context of physics. I start with the familiar notion of, say, a
derivative or an integral, but interpret it entirely in terms of physical ideas.
Thus, a derivative is a means by which one obtains velocity from position
vectors or acceleration from velocity vectors, and integral is a means by
which one obtains the gravitational or electric field of a large number of
charged or massive particles. If concepts (e.g., infinite series) do not succumb
easily to physical interpretation, then I immediately subjugate the physical
situation to the mathematical concepts (e.g., multipole expansion of electric
potential).

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Informasi Detail

Judul Seri

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No. Panggil

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Penerbit

New York : Springer Science+Business Media, LLC., 2009

Deskripsi Fisik

xx, 831 Hlm.

Bahasa

English

ISBN/ISSN

978-0-387-09504-2

Klasifikasi

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Tipe Isi

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Tipe Media

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Tipe Pembawa

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Edisi

2nd ed.

Subjek

MATEMATIKA

Info Detail Spesifik

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Pernyataan Tanggungjawab

agus

Versi lain/terkait

Lampiran Berkas

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