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Differential Equations - Theory, Technique, and Practice (Hardcover, 3rd edition)
Loot Price: R2,686
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Differential Equations - Theory, Technique, and Practice (Hardcover, 3rd edition)
Series: Textbooks in Mathematics
Expected to ship within 12 - 17 working days
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Differential equations is one of the oldest subjects in modern
mathematics. It was not long after Newton and Leibniz invented the
calculus that Bernoulli and Euler and others began to consider the
heat equation and the wave equation of mathematical physics. Newton
himself solved differential equations both in the study of
planetary motion and also in his consideration of optics. Today
differential equations is the centerpiece of much of engineering,
of physics, of significant parts of the life sciences, and in many
areas of mathematical modeling. This text describes classical ideas
and provides an entree to the newer ones. The author pays careful
attention to advanced topics like the Laplace transform,
Sturm-Liouville theory, and boundary value problems (on the
traditional side) but also pays due homage to nonlinear theory, to
modeling, and to computing (on the modern side). This book began as
a modernization of George Simmons' classic, Differential Equations
with Applications and Historical Notes. Prof. Simmons invited the
author to update his book. Now in the third edition, this text has
become the author's own and a unique blend of the traditional and
the modern. The text describes classical ideas and provides an
entree to newer ones. Modeling brings the subject to life and makes
the ideas real. Differential equations can model real life
questions, and computer calculations and graphics can then provide
real life answers. The symbiosis of the synthetic and the
calculational provides a rich experience for students, and prepares
them for more concrete, applied work in future courses. Additional
Features Anatomy of an Application sections. Historical notes
continue to be a unique feature of this text. Math Nuggets are
brief perspectives on mathematical lives or other features of the
discipline that will enhance the reading experience. Problems for
Review and Discovery give students some open-ended material for
exploration and further learning. They are an important means of
extending the reach of the text, and for anticipating future work.
This new edition is re-organized to make it more useful and more
accessible. The most frequently taught topics are now up front. And
the major applications are isolated in their own chapters. This
makes this edition the most useable and flexible of any previous
editions.
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