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Partial Differential Equations

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. Provides an accessible yet rigorous introduction to partial differential equations Draws connections to advanced topics in analysis Covers applications to continuum mechanics An electronic solutions manual is available only to professors An online illustration package is available to professors

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Vedas A Way Of Life

The Veda (Sruti) is the most comprehensive doctrine on religion ever revealed to mankind that answers all man s queries on the here and now and the hereafter.Human objectives can be broadly grouped under four categories: desire (kama), material gain (artha), religious merits (dharma) and liberation (moksha).The Veda holds the key to fulfil all these aspirations.But the Veda simply reveals the Truth, never pressurising anyone to follow a particular path to self-discovery.Each person is free to choose his own path to discovery of the Self or God.The Vedas act as the means to the ultimate knowledge that is possible through direct perception.The book seeks to increase awareness amongst readers about this wonderful treasury of ancient wisdom.Study of this enlightening text will enhance the values of brotherhood, love and compassion, which are the need of the hour in our troubled times.