Gilbert Ames Bliss's Books

Calculus of Variations

By: Gilbert Ames Bliss

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The development of the calculus of variations has, from the beginning, been interlaced with that of the differential and integral calculus. Without any knowledge of the calculus, one can readily understand at least the geometrical or mechanical statements of many of the problems of the calculus of variations and the character of their solutions. The discovery and justification of the results in this book, apart from their simple statements, do require, however, acquaintance with the principles of the calculus, and it is assumed that the reader has such an acquaintance. Calculus of Variations begins by studying special problems rather than the general theory. The first chapter of the book describes the historical setting out of which the theory of the calculus of variations grew and the character of some of the simpler problems. The next three chapters are devoted to the development, in detail, of the then known results for three special problems (shortest distances, brachistochrone, and surfaces of revolution of minimum area) which illustrate in excellent fashion the essential characteristics of the general theory contained in Chapter V with which the book concludes.

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Page Count

204

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1614440018

ISBN 13

9781614440017

Algebraic Functions

By: Gilbert Ames Bliss

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Algebraic Functions

By: Gilbert Ames Bliss

This text surveys the approaches and basic results of all three classes of algebraic functions. Starting with a treatment of single-valued analytic functions, it introduces algebraic and rational functions and proceeds to the Riemann surface of an algebraic function, integrals of rational functions, and Abel's theorem. 1933 edition

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Page Count

248

Publisher

Courier Corporation

Published Date

ISBN 10

048649568X

ISBN 13

9780486495682

The Logarithmic Potential and Other Monographs

By: Griffith Conrad Evans,Gilbert Ames Bliss,Edward Kasner

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The Logarithmic Potential and Other Monographs

By: Griffith Conrad Evans,Gilbert Ames Bliss,Edward Kasner

The volume contains the following monographs: The Logarithmic Potential by Evans Fundamental Existence Theorems by Bliss Differential-Geometric Aspects of Dynamics by Kasner All three monographs were originally published by the AMS and are now available in this single volume from AMS Chelsea Publishing.

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Page Count

402

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0828403058

ISBN 13

9780828403054

The Setting Sun

A Memoir of Empire and Family Secrets

By: Bart Moore-Gilbert

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The Setting Sun

A Memoir of Empire and Family Secrets

By: Bart Moore-Gilbert

When a letter from an Indian historian arrives out of the blue and informs leading academic Bart Moore-Gilbert that his beloved deceased father, a member of the Indian Police before Independence, took part in the abuse of civilians, his world is shaken as cherished childhood memories are challenged. He sets out in search of the truth-discovering much about the end of empire, the state of India today, and whether his father, as one of the many characters on his quest claims, really was a terrorist. Crisscrossing western India, and following leads from bustling Mumbai to remote rural locations, Moore-Gilbert pieces together the truth, discovering that the story of his father's life links today's politics with the past's, colonial India with its modern incarnation, terrorism across the ages, and father with son. The Setting Sun is at once an extraordinary meditative voyage across India, a story of the dying days of an empire, and a gripping family history.

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Page Count

290

Publisher

Verso Books

Published Date

ISBN 10

1781686467

ISBN 13

9781781686461

The Princeton Colloquium

By: Gilbert Ames Bliss,American Mathematical Society. Colloquium

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The Princeton Colloquium

By: Gilbert Ames Bliss,American Mathematical Society. Colloquium

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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Page Count

236

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821846418

ISBN 13

9780821846414

The Logarithmic Potential and Other Monographs

By: Griffith Conrad Evans,Gilbert Ames Bliss,Edward Kasner

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The Logarithmic Potential and Other Monographs

By: Griffith Conrad Evans,Gilbert Ames Bliss,Edward Kasner

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Page Count

402

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0828403058

ISBN 13

9780828403054

Book's by Gilbert Ames Bliss

Calculus of Variations

Calculus of Variations

Algebraic Functions

Algebraic Functions

The Logarithmic Potential and Other Monographs

The Logarithmic Potential and Other Monographs

The Setting Sun

The Setting Sun

The Princeton Colloquium

The Princeton Colloquium

The Logarithmic Potential and Other Monographs

The Logarithmic Potential and Other Monographs

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