An accessible yet rigorous introduction to partial differential equations
This textbook provides beginning graduate students and advanced undergraduates with an accessible introduction to the rich subject of partial differential equations (PDEs). It presents a rigorous and clear explanation of the more elementary theoretical aspects of PDEs, while also drawing connections to deeper analysis and applications. The book serves as a needed bridge between basic undergraduate texts and more advanced books that require a significant background in functional analysis.
Topics include first order equations and the method of characteristics, second order linear equations, wave and heat equations, Laplace and Poisson equations, and separation of variables. The book also covers fundamental solutions, Green's functions and distributions, beginning functional analysis applied to elliptic PDEs, traveling wave solutions of selected parabolic PDEs, and scalar conservation laws and systems of hyperbolic PDEs.
<ul>
<li>Provides an accessible yet rigorous introduction to partial differential equations</li>
<li>Draws connections to advanced topics in analysis</li>
<li>Covers applications to continuum mechanics</li>
<li>An electronic solutions manual is available only to professors</li>
<li>An online illustration package is available to professors</li>
</ul>

Partial Differential Equations: An Introduction to Theory and Applications

Computers & Technology

Shearer, Michael

Levy, Rachel

Computer Science

Princeton University Press

A Book So Red was the winning manuscript in the 2014 Caketrain Competition, as judged by Peter Markus. ### "A Book So Red's linguistic singularities, formal contractions, and world comprised of the existential non-sequitur coalesce into an astonishing aesthetic teratoid: the vacuum-packed denarration. The narrator's skewed, oblique and painful relationships teach us the only real comedy is the sound of laughter in the dark all the way down." -Lance Olsen, author of Theories of Forgetting ### "Rachel Levy is a wizard-gory, tender and wickedly funny." -Noy Holland, author of Bird ### "It's as if Rachel Levy put the carcass of the novel on the butcher block: choice language cutlets remain." -Sara Levine, author of Treasure Island!!! ### "Heartbreaking, horrifying, beautiful and ugly, the narrator of Rachel Levy's A Book So Red explores her world from the inside out with the precision of a mapmaker. From Munich to an American farm to Berlin and through a cast of characters, the one constant is her mirac¬ulous and astonishing voice." -Myfanwy Collins, author of The Book of Laney ### "Rachel Levy, here in what might at first appear to be a pint-sized collection of fractured miniatures, offers us instead heaving-with-feeling fictions that are elliptical and driven by suggestion, though what is most fully and singularly revealed here is a world where much is said-too much, this too might be true-so that what is left unsaid, what the speaker chooses to tell just us-her listeners in this se¬quence of most private tellings-takes on the heft of a bedside confession." -Peter Markus, author of The Fish and the Not Fish

A Book So Red

Literature & Fiction

Caketrain Journal and Press

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