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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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Introduction to Partial Differential Equations (Paperback, Softcover reprint of the original 1st ed. 2014)
Loot Price: R1,870
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Introduction to Partial Differential Equations (Paperback, Softcover reprint of the original 1st ed. 2014)
Series: Undergraduate Texts in Mathematics
Expected to ship within 10 - 15 working days
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This textbook is designed for a one year course covering the
fundamentals of partial differential equations, geared towards
advanced undergraduates and beginning graduate students in
mathematics, science, engineering, and elsewhere. The exposition
carefully balances solution techniques, mathematical rigor, and
significant applications, all illustrated by numerous examples.
Extensive exercise sets appear at the end of almost every
subsection, and include straightforward computational problems to
develop and reinforce new techniques and results, details on
theoretical developments and proofs, challenging projects both
computational and conceptual, and supplementary material that
motivates the student to delve further into the subject. No
previous experience with the subject of partial differential
equations or Fourier theory is assumed, the main prerequisites
being undergraduate calculus, both one- and multi-variable,
ordinary differential equations, and basic linear algebra. While
the classical topics of separation of variables, Fourier analysis,
boundary value problems, Green's functions, and special functions
continue to form the core of an introductory course, the inclusion
of nonlinear equations, shock wave dynamics, symmetry and
similarity, the Maximum Principle, financial models, dispersion and
solutions, Huygens' Principle, quantum mechanical systems, and more
make this text well attuned to recent developments and trends in
this active field of contemporary research. Numerical approximation
schemes are an important component of any introductory course, and
the text covers the two most basic approaches: finite differences
and finite elements.
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