The Method of Newton's Polyhedron in the Theory of Partial Differential Equations (Mathematics and its Applications) (Volume 86)

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9789401047944: The Method of Newton's Polyhedron in the Theory of Partial Differential Equations (Mathematics and its Applications) (Volume 86)

One service mathematics has rendered the 'Et moi, .. ., si j'avait su comment cn rcvenir, human race. It has put common sense back. je n'y serais point aile.' where it bdongs, on the topmost shelf neAt Jules Verne to the dusty canister labelled 'discarded non· sense'. The series is divergent; therefore we may be Eric T. Bdl able to do something with it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non­ linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com­ puter science .. :; 'One service category theory has rendered mathematics .. .'. All a,rguably true. And all statements obtainable this way form part of the raison d'etre of this series.

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This volume develops the method of Newton's polyhedron for solving some problems in the theory of partial differential equations.
The content is divided into two parts. Chapters 1-4 consider Newton's polygon and Chapters 5-7 consider Newton's polyhedron. The case of the polygon makes it possible not only to consider general constructions in the two-dimensional case, but also leads to some natural multidimensional applications. Attention is mainly focused on a special class of hypoelliptic operators defined using Newton's polyhedron, energy estimates in Cauchy's problem relating to Newton's polyhedron, and generalized operators of principal type. Priority is given to the presentation of an algebraic technique which can be applied to many other problems as well.
For researchers and graduate students whose work involves the theory of differential and pseudodifferential equations.

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Book Description Springer, Netherlands, 2012. Paperback. Book Condition: New. 240 x 160 mm. Language: English . Brand New Book ***** Print on Demand *****. One service mathematics has rendered the Et moi, ., si j avait su comment cn rcvenir, human race. It has put common sense back. je n y serais point aile. where it bdongs, on the topmost shelf neAt Jules Verne to the dusty canister labelled discarded non* sense . The series is divergent; therefore we may be Eric T. Bdl able to do something with it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non- linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: One service topology has rendered mathematical physics . ; One service logic has rendered com- puter science . :; One service category theory has rendered mathematics . . All a,rguably true. And all statements obtainable this way form part of the raison d etre of this series. Softcover reprint of the original 1st ed. 1992. Bookseller Inventory # APC9789401047944

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Book Description Springer, Netherlands, 2012. Paperback. Book Condition: New. 240 x 160 mm. Language: English . Brand New Book ***** Print on Demand *****.One service mathematics has rendered the Et moi, ., si j avait su comment cn rcvenir, human race. It has put common sense back. je n y serais point aile. where it bdongs, on the topmost shelf neAt Jules Verne to the dusty canister labelled discarded non* sense . The series is divergent; therefore we may be Eric T. Bdl able to do something with it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non- linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: One service topology has rendered mathematical physics . ; One service logic has rendered com- puter science . :; One service category theory has rendered mathematics . . All a,rguably true. And all statements obtainable this way form part of the raison d etre of this series. Softcover reprint of the original 1st ed. 1992. Bookseller Inventory # APC9789401047944

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Book Description Springer. Paperback. Book Condition: New. Paperback. 266 pages. Dimensions: 9.4in. x 6.3in. x 0.6in.One service mathematics has rendered the Et moi, . . . , si javait su comment cn rcvenir, human race. It has put common sense back. je ny serais point aile. where it bdongs, on the topmost shelf neAt Jules Verne to the dusty canister labelled discarded non sense. The series is divergent; therefore we may be Eric T. Bdl able to do something with it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: One service topology has rendered mathematical physics . . . ; One service logic has rendered com puter science . . : ; One service category theory has rendered mathematics . . . . All a, rguably true. And all statements obtainable this way form part of the raison detre of this series. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Paperback. Bookseller Inventory # 9789401047944

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