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| Author | : Oskar Bolza |
| Publisher | : BoD – Books on Demand |
| Total Pages | : 14 |
| Release | : 2013-04 |
| Genre | : Mathematics |
| ISBN | : 3846031453 |
Reprint of the original, first published in 1910.
| Author | : American Mathematical Society |
| Publisher | : |
| Total Pages | : 584 |
| Release | : 1910 |
| Genre | : Mathematics |
| ISBN | : |
| Author | : George Leitmann |
| Publisher | : Elsevier |
| Total Pages | : 486 |
| Release | : 2016-06-03 |
| Genre | : Technology & Engineering |
| ISBN | : 1483266818 |
Mathematics in Science and Engineering, Volume 31: Topics in Optimization compiles contributions to the field of optimization of dynamical systems. This book is organized into two parts. Part 1 covers reported investigations that are based on variational techniques and constitute essentially extensions of the classical calculus of variations. The contributions to optimal control theory and its applications, where the arguments are primarily geometric in nature, are discussed in Part 2. This volume specifically discusses the inequalities in a variational problem, singular extremals, mathematical foundations of system optimization, and synthesis of optimal controls. This publication is recommended for both theoreticians and practitioners.
| Author | : Louis B. Rall |
| Publisher | : Elsevier |
| Total Pages | : 595 |
| Release | : 2014-05-10 |
| Genre | : Mathematics |
| ISBN | : 1483272443 |
Nonlinear Functional Analysis and Applications provides information pertinent to the fundamental aspects of nonlinear functional analysis and its application. This book provides an introduction to the basic concepts and techniques of this field. Organized into nine chapters, this book begins with an overview of the possibilities for applying ideas from functional analysis to problems in analysis. This text then provides a systematic exposition of several aspects of differential calculus in norms and topological linear spaces. Other chapters consider the various settings in nonlinear functional analysis in which differentials play a significant role. This book discusses as well the generalized inverse for a bounded linear operator, whose range is not necessarily closed. The final chapter deals with the equations of hydrodynamics, which are usually highly nonlinear and difficult to solve. This book is a valuable resource for mathematicians. Readers who are interested in nonlinear functional analysis will also find this book useful.
| Author | : Karen Hunger Parshall |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 532 |
| Release | : 1994 |
| Genre | : Mathematics |
| ISBN | : 9780821809075 |
Cover -- Title page -- Contents -- Preface -- Acknowledgments -- Photograph and Figure Credits -- Chapter 1. An overview of American mathematics: 1776-1876 -- Chapter 2. A new departmental prototype: J.J. Sylvester and the Johns Hopkins University -- Chapter 3. Mathematics at Sylvester's Hopkins -- Chapter 4. German mathematics and the early mathematical career of Felix Klein -- Chapter 5. America's wanderlust generation -- Chapter 6. Changes on the horizon -- Chapter 7. The World's Columbian exposition of 1893 and the Chicago mathematical congress -- Chapter 8. Surveying mathematical landscapes: The Evanston colloquium lectures -- Chapter 9. Meeting the challenge: The University of Chicago and the American mathematical research community -- Chapter 10. Epilogue: Beyond the threshold: The American mathematical research community, 1900-1933 -- Bibliography -- Subject Index -- Back Cover
| Author | : Bernard Dacorogna |
| Publisher | : Imperial College Press |
| Total Pages | : 241 |
| Release | : 2009 |
| Genre | : Mathematics |
| ISBN | : 1848163339 |
The calculus of variations is one of the oldest subjects in mathematics, yet is very much alive and is still evolving. Besides its mathematical importance and its links to other branches of mathematics, such as geometry or differential equations, it is widely used in physics, engineering, economics and biology.This book serves both as a guide to the expansive existing literature and as an aid to the non-specialist ? mathematicians, physicists, engineers, students or researchers ? in discovering the subject's most important problems, results and techniques. Despite the aim of addressing non-specialists, mathematical rigor has not been sacrificed; most of the theorems are either fully proved or proved under more stringent conditions.In this new edition, the chapter on regularity has been significantly expanded and 27 new exercises have been added. The book, containing a total of 103 exercises with detailed solutions, is well designed for a course at both undergraduate and graduate levels.
| Author | : American Mathematical Society |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 328 |
| Release | : 1938 |
| Genre | : Mathematics |
| ISBN | : 9780821801192 |
Offers brief treatises on several mathematical areas and a historical summary of American contributions to mathematics during the Society's first fifty years.
