Published by Springer - Verlag, New York (1974)

ISBN 10: 0387901078 ISBN 13: 9780387901077

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**Item Description: **Springer - Verlag, New York, 1974. Paperback. Book Condition: Very Good. No Jacket. 4to - over 9¾" - 12" tall. 332pp. Equations & index. A crisp copy of this volume in the Applied Mathematical Science series, number 13. Old signature deleted, old sellotape stains inside after cover removed, but the cover kept it very smart.Will weigh 1kg packed. The postage estimate may well be wrong. Bookseller Inventory # 022110

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Published by Springer (1974)

ISBN 10: 0387901078 ISBN 13: 9780387901077

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**Item Description: **Springer, 1974. Book Condition: New. This item is printed on demand for shipment within 3 working days. Bookseller Inventory # KP9780387901077

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Published by Springer-Verlag New York Inc., United States (1974)

ISBN 10: 0387901078 ISBN 13: 9780387901077

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**Item Description: **Springer-Verlag New York Inc., United States, 1974. Paperback. Book Condition: New. 246 x 170 mm. Language: English Brand New Book ***** Print on Demand *****. The aim of this book is to provide a systematic and practical account of methods of integration of ordinary and partial differential equations based on invariance under continuous (Lie) groups of trans- formations. The goal of these methods is the expression of a solution in terms of quadrature in the case of ordinary differential equations of first order and a reduction in order for higher order equations. For partial differential equations at least a reduction in the number of independent variables is sought and in favorable cases a reduction to ordinary differential equations with special solutions or quadrature. In the last century, approximately one hundred years ago, Sophus Lie tried to construct a general integration theory, in the above sense, for ordinary differential equations. Following Abel s approach for algebraic equations he studied the invariance of ordinary differential equations under transformations. In particular, Lie introduced the study of continuous groups of transformations of ordinary differential equations, based on the infinitesimal properties of the group. In a sense the theory was completely successful. It was shown how for a first-order differential equation the knowledge of a group leads immediately to quadrature, and for a higher order equation (or system) to a reduction in order. In another sense this theory is somewhat disappointing in that for a first-order differ- ential equation essentially no systematic way can be given for finding the groups or showing that they do not exist for a first-order differential equation. Softcover reprint of the original 1st ed. 1974. Bookseller Inventory # AAV9780387901077

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Published by Springer-Verlag New York Inc., United States (1974)

ISBN 10: 0387901078 ISBN 13: 9780387901077

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**Item Description: **Springer-Verlag New York Inc., United States, 1974. Paperback. Book Condition: New. 246 x 170 mm. Language: English Brand New Book ***** Print on Demand *****.The aim of this book is to provide a systematic and practical account of methods of integration of ordinary and partial differential equations based on invariance under continuous (Lie) groups of trans- formations. The goal of these methods is the expression of a solution in terms of quadrature in the case of ordinary differential equations of first order and a reduction in order for higher order equations. For partial differential equations at least a reduction in the number of independent variables is sought and in favorable cases a reduction to ordinary differential equations with special solutions or quadrature. In the last century, approximately one hundred years ago, Sophus Lie tried to construct a general integration theory, in the above sense, for ordinary differential equations. Following Abel s approach for algebraic equations he studied the invariance of ordinary differential equations under transformations. In particular, Lie introduced the study of continuous groups of transformations of ordinary differential equations, based on the infinitesimal properties of the group. In a sense the theory was completely successful. It was shown how for a first-order differential equation the knowledge of a group leads immediately to quadrature, and for a higher order equation (or system) to a reduction in order. In another sense this theory is somewhat disappointing in that for a first-order differ- ential equation essentially no systematic way can be given for finding the groups or showing that they do not exist for a first-order differential equation. Softcover reprint of the original 1st ed. 1974. Bookseller Inventory # AAV9780387901077

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Published by Springer-Verlag New York Inc.

ISBN 10: 0387901078 ISBN 13: 9780387901077

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**Item Description: **Springer-Verlag New York Inc. Paperback. Book Condition: new. BRAND NEW PRINT ON DEMAND., Similarity Methods for Differential Equations (Softcover reprint of the original 1st ed. 1974), G.W. Bluman, J.D. Cole, The aim of this book is to provide a systematic and practical account of methods of integration of ordinary and partial differential equations based on invariance under continuous (Lie) groups of trans- formations. The goal of these methods is the expression of a solution in terms of quadrature in the case of ordinary differential equations of first order and a reduction in order for higher order equations. For partial differential equations at least a reduction in the number of independent variables is sought and in favorable cases a reduction to ordinary differential equations with special solutions or quadrature. In the last century, approximately one hundred years ago, Sophus Lie tried to construct a general integration theory, in the above sense, for ordinary differential equations. Following Abel's approach for algebraic equations he studied the invariance of ordinary differential equations under transformations. In particular, Lie introduced the study of continuous groups of transformations of ordinary differential equations, based on the infinitesimal properties of the group. In a sense the theory was completely successful. It was shown how for a first-order differential equation the knowledge of a group leads immediately to quadrature, and for a higher order equation (or system) to a reduction in order. In another sense this theory is somewhat disappointing in that for a first-order differ- ential equation essentially no systematic way can be given for finding the groups or showing that they do not exist for a first-order differential equation. Bookseller Inventory # B9780387901077

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