The Princeton Colloquium (American Mathematical Society Colloquium Publications)

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9780821846414: The Princeton Colloquium (American Mathematical Society Colloquium Publications)

Following the early tradition of the American Mathematical Society, the sixth colloquium of the Society was held as part of the summer meeting that took place at Princeton University. Two sets of lectures were presented: Fundamental Existence Theorems, by G. A. Bliss, and Geometric Aspects of Dynamics, by Edward Kasner. The goal of Bliss's Colloquium Lectures is an overview of contemporary existence theorems for solutions to ordinary or partial differential equations. The first part of the book, however, covers algebraic and analytic aspects of implicit functions. These become the primary tools for the existence theorems, as Bliss builds from the theories established by Cauchy and Picard. There are also applications to the calculus of variations. Kasner's lectures were concerned with the differential geometry of dynamics, especially kinetics. At the time of the colloquium, it was more common in kinematics to consider geometry of trajectories only in the absence of an external force. The lectures begin with a discussion of the possible trajectories in an arbitrary force field. Kasner then specializes to the study of conservative forces, including wave propagation and some curious optical phenomena. The discussion of constrained motions leads to the brachistochrone and tautochrone problems. Kasner concludes by looking at more complicated motions, such as trajectories in a resisting medium.

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Gilbert Ames Bliss, Edward Kasner
Published by American Mathematical Society, United States (2008)
ISBN 10: 0821846418 ISBN 13: 9780821846414
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Book Description American Mathematical Society, United States, 2008. Paperback. Book Condition: New. Language: English . Brand New Book. Following the early tradition of the American Mathematical Society, the sixth colloquium of the Society was held as part of the summer meeting that took place at Princeton University. Two sets of lectures were presented: Fundamental Existence Theorems, by G. A. Bliss, and Geometric Aspects of Dynamics, by Edward Kasner. The goal of Bliss Colloquium Lectures is an overview of contemporary existence theorems for solutions to ordinary or partial differential equations.The first part of the book, however, covers algebraic and analytic aspects of implicit functions. These become the primary tools for the existence theorems, as Bliss builds from the theories established by Cauchy and Picard. There are also applications to the calculus of variations. Kasner s lectures were concerned with the differential geometry of dynamics, especially kinetics. At the time of the colloquium, it was more common in kinematics to consider geometry of trajectories only in the absence of an external force. The lectures begin with a discussion of the possible trajectories in an arbitrary force field. Kasner then specializes to the study of conservative forces, including wave propagation and some curious optical phenomena. The discussion of constrained motions leads to the brachistochrone and tautochrone problems. Kasner concludes by looking at more complicated motions, such as trajectories in a resisting medium. Bookseller Inventory # AAN9780821846414

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Bliss, Gilbert Ames;kasner, Edward
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Gilbert Ames Bliss, Edward Kasner
Published by American Mathematical Society, United States (2008)
ISBN 10: 0821846418 ISBN 13: 9780821846414
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Book Description American Mathematical Society, United States, 2008. Paperback. Book Condition: New. Language: English . Brand New Book. Following the early tradition of the American Mathematical Society, the sixth colloquium of the Society was held as part of the summer meeting that took place at Princeton University. Two sets of lectures were presented: Fundamental Existence Theorems, by G. A. Bliss, and Geometric Aspects of Dynamics, by Edward Kasner. The goal of Bliss Colloquium Lectures is an overview of contemporary existence theorems for solutions to ordinary or partial differential equations.The first part of the book, however, covers algebraic and analytic aspects of implicit functions. These become the primary tools for the existence theorems, as Bliss builds from the theories established by Cauchy and Picard. There are also applications to the calculus of variations. Kasner s lectures were concerned with the differential geometry of dynamics, especially kinetics. At the time of the colloquium, it was more common in kinematics to consider geometry of trajectories only in the absence of an external force. The lectures begin with a discussion of the possible trajectories in an arbitrary force field. Kasner then specializes to the study of conservative forces, including wave propagation and some curious optical phenomena. The discussion of constrained motions leads to the brachistochrone and tautochrone problems. Kasner concludes by looking at more complicated motions, such as trajectories in a resisting medium. Bookseller Inventory # AAN9780821846414

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Bliss, Gilbert Ames/ Kasner, Edward
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Book Description Amer Mathematical Society, 2008. Paperback. Book Condition: Brand New. 224 pages. 9.92x7.01x0.47 inches. In Stock. Bookseller Inventory # __0821846418

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