Lectures On The Theory Of Maxima And Minima Of Functions Of Several Variables
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Lectures On The Theory Of Maxima And Minima Of Functions Of Several Variables Weierstrass Theory
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Author : Harris Hancock
language : en
Publisher: Hardpress Publishing
Release Date : 2012-08-01
Lectures On The Theory Of Maxima And Minima Of Functions Of Several Variables Weierstrass Theory written by Harris Hancock and has been published by Hardpress Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-01 with categories.
Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavoured to keep the quality of these images, so they represent accurately the original artefact. Although occasionally there may be certain imperfections with these old texts, we feel they deserve to be made available for future generations to enjoy.
Lectures On The Theory Of Maxima And Minima Of Functions Of Several Variables
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Author : Harris Hancock
language : en
Publisher:
Release Date : 1904
Lectures On The Theory Of Maxima And Minima Of Functions Of Several Variables written by Harris Hancock and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1904 with Calculus of variations categories.
Lectures On The Theory Of Functions Of Real Variables Vol 1 Classic Reprint
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Author : James Pierpont
language : en
Publisher: Forgotten Books
Release Date : 2017-12-19
Lectures On The Theory Of Functions Of Real Variables Vol 1 Classic Reprint written by James Pierpont and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-19 with Mathematics categories.
Excerpt from Lectures on the Theory of Functions of Real Variables, Vol. 1 The present work is based on lectures which the author is accustomed to give at Yale University on advanced calculus and the theory of functions of real variables. It falls in two volumes, and the following remarks apply only to the first. The student of mathematics, on entering the graduate school of American universities, often has no inconsiderable knowledge of the methods and processes of the calculus. He knows how to differentiate and integrate complicated expressions, to evaluate indeterminate forms, to find maxima and minima, to differentiate a definite integral with respect to a parameter, etc. But no em phasis has been placed on the conditions under which these pro cesses are valid. Great is his surprise to learn that they do not always lead to correct results. Numerous simple examples, how ever, readily convince him that such is nevertheless the case. The problem therefore arises to examine more carefully the conditions under which the theorems and processes of the calculus are correct, and to extend as far as possible or useful the limits of their applicability. In doing this it soon becomes manifest that the style of reason ing which the student has heretofore employed must be abandoned. Examples of curves without tangents, of curves completely filling areas, and other strange configurations so familiar to the analyst of to-day, make it clear that the rough and ready reasoning which rests on geometric intuition must give way to a finer and more delicate analysis. It is necessary for him to learn to think in the e, 8 forms of Cauchy and Weierstrass. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Lectures On The Theory Of Functions Of Several Complex Variables
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Author : Bernard Malgrange
language : en
Publisher:
Release Date : 1984
Lectures On The Theory Of Functions Of Several Complex Variables written by Bernard Malgrange and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Functions of complex variables categories.
Excursions In Calculus
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Author : Robert M. Young
language : en
Publisher: American Mathematical Soc.
Release Date : 1992-10-01
Excursions In Calculus written by Robert M. Young and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-10-01 with Mathematics categories.
This book explores the rich and elegant interplay between the two main currents of mathematics, the continuous and the discrete. Such fundamental notions in discrete mathematics as induction, recursion, combinatorics, number theory, discrete probability, and the algorithmic point of view as a unifying principle are continually explored as they interact with traditional calculus.
Lectures On The Calculus Of Variations And Optimal Control Theory
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Author : Laurence Chisholm Young
language : en
Publisher: American Mathematical Soc.
Release Date : 2000
Lectures On The Calculus Of Variations And Optimal Control Theory written by Laurence Chisholm Young and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
This book is divided into two parts. The first addresses the simpler variational problems in parametric and nonparametric form. The second covers extensions to optimal control theory. The author opens with the study of three classical problems whose solutions led to the theory of calculus of variations. They are the problem of geodesics, the brachistochrone, and the minimal surface of revolution. He gives a detailed discussion of the Hamilton-Jacobi theory, both in the parametric and nonparametric forms. This leads to the development of sufficiency theories describing properties of minimizing extremal arcs. Next, the author addresses existence theorems. He first develops Hilbert's basic existence theorem for parametric problems and studies some of its consequences. Finally, he develops the theory of generalized curves and "automatic" existence theorems. In the second part of the book, the author discusses optimal control problems. He notes that originally these problems were formulated as problems of Lagrange and Mayer in terms of differential constraints. In the control formulation, these constraints are expressed in a more convenient form in terms of control functions. After pointing out the new phenomenon that may arise, namely, the lack of controllability, the author develops the maximum principle and illustrates this principle by standard examples that show the switching phenomena that may occur. He extends the theory of geodesic coverings to optimal control problems. Finally, he extends the problem to generalized optimal control problems and obtains the corresponding existence theorems.
Lectures On The Theory Of Algebraic Functions Of One Variable
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Author : Max Deuring
language : en
Publisher: Springer
Release Date : 2006-11-15
Lectures On The Theory Of Algebraic Functions Of One Variable written by Max Deuring and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Theory Of Maxima And Minima
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Author : Harris Hancock
language : en
Publisher:
Release Date : 1960
Theory Of Maxima And Minima written by Harris Hancock and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with Maxima and minima categories.
Lectures Introductory To The Theory Of Functions Of Two Complex Variables Delivered To The University Of Calcutta During January And February 1913
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Author : Andrew Russell Forsyth
language : en
Publisher: CUP Archive
Release Date : 1914
Lectures Introductory To The Theory Of Functions Of Two Complex Variables Delivered To The University Of Calcutta During January And February 1913 written by Andrew Russell Forsyth and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1914 with Functions of complex variables categories.
Bulletin Of The American Mathematical Society
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Author :
language : en
Publisher:
Release Date : 1946
Bulletin Of The American Mathematical Society written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1946 with Mathematics categories.
