Download or read book Lectures on the Theory of Maxima and Minima of Functions of Several Variables Weierstrass Theory written by Harris Hancock and published by Hardpress Publishing. This book was released on 2012-08-01 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Lectures on the Theory of Maxima and Minima of Functions of Several Variables written by Harris Hancock and published by . This book was released on 1904 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Theory of Maxima and Minima of Functions of Several Variables written by Dale Laurence Anderson and published by . This book was released on 1959 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Lectures on the Theory of Maxima and Minima of Functions of Several Variables written by Harris Hancock and published by . This book was released on 1903 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Lectures on the Theory of Maxima and Minima of Functions of Several Variables Vol 2 written by Harris Hancock and published by Forgotten Books. This book was released on 2017-12-04 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Lectures on the Theory of Maxima and Minima of Functions of Several Variables, Vol. 2: Weierstrass Theory IN his lectures at Berlin the late Professor Weierstrass often indicated the necessity of establishing fundamental parts of the Calculus upon a more exact foundation. 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.

Download or read book Theory Of Maxima And Minima written by Harris Hancock and published by Merchant Books. This book was released on 2008-04 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Unabridged Printing With Text And Figures Digitally Enlarged: Functions Of One Variable (Ordinary Maxima And Minima - Extraordinary Maxima And Minima) - Functions Of Several Variables (Ordinary Maxima And Minima - Relative Maxima And Minima) - Functions Of Two Variables (Ordinary Extremes - Incorrectness Of Deductions Made By Earlier And Many Modern Writers - Different Attempts To Improve The Theory) - The Scheeffer Theory (General Criteria For A Greatest And A Least Value Of A Function Of Two Variables; In Particular The Extraordinary Extremes - Homogeneous Functions - The Method Of Victor Vs. Dantscher - Functions Of Three Variables - Maxima And Minima Of Functions Of Several Variables That Are Subjected To No Subsidiary Conditions (Ordinary Extremes - Theory Of The Homogeneous Quadric Forms - Application Of The Theory Of Quadratic Forms To The Problem Of Maxima And Minima) - Theory Of Maxima And Minima Of Functions Of Several Variables That Are Subjected To Subsidiary Conditions Relative To Maxima And Minima (Theory Of Homogeneous Quadratic Forms - Application Of The Criteria Just Found To The Problem Of This Chapter) - Special Cases (Examples Of Improper Extremes - Gauss's Principle - The Reversion Of Series) - Certain Fundamental Conceptions In The Theory Of Analytic Functions (Analytic Dependence - Algebraic Structures In Two Variables) - Index

Download or read book Lectures on the Theory of Maxima and Minima of Functions of Several Variables Primary Source Edition written by Harris Hancock and published by Nabu Press. This book was released on 2014-01 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.

Download or read book Theory of Maxima and Minima written by Harris Hancock and published by . This book was released on 1917 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Theory of Maxima and Minima written by Harris Hancock and published by . This book was released on 1917 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Theory of Maxima and Minima written by Harris Hancock and published by CreateSpace. This book was released on 2015-08-21 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: THE theory of maxima and minima contains pitfalls into which have fallen such well-known mathematicians as Lagrange, Bertrand, Serret, and Todhunter. A peculiar interest, therefore, is attached to the subject, and the reader will find Prof. Hancock's book well worth his study. Except that there is no reference to calculus of variations, the author has succeeded in covering the ground fairly thoroughly, and that without allowing the argument to be anywhere tedious. He gives many references, and a few quite interesting examples. After a short investigation of maxima and minima of functions of a single variable, he gives in some detail the methods of Scheeffer and von Dantscher, which introduced rigour into the discussion of functions of two or three variables. The theory here is intimately connected with the theory of quadratic forms and singularities of higher plane curves. The author seems not to have read such books as Bromwich's "Quadratic Forms," Hilton's "Linear Substitutions," or Muth's "Elementartheilar," which would have enabled him in places to simplify his treatment of quadratic forms. In tracing a plane curve near a singularity, the author should have made use of Newton's diagram. He should also have avoided such a phrase as "cusps of the first and second kind," which implies that the cusps in question are comparable. whereas the latter is a singularity of much higher complexity than the former. The chapter on relative maxima and minima is especially interesting. The discussion usually given in the text-books is very scanty, and the fuller treatment here given is very welcome. A valuable point is made in §§ 98-107. The usual proof that the maximum triangle inscribed in a given circle is equilateral runs as follows: "If not, suppose ABC to be the greatest triangle. If AB+AC, let D bisect the arc BAC. Then the triangle BDC>BAC, etc." Is this argument admissible? The reader may compare the following reasoning, due to an Italian author: "Unity is the greatest integer. For, if not, suppose n (not equal to x) the greatest. Then n2 > n, etc." The proofs run parallel, but the tacit assumption (a greatest triangle or integer exists) is lawful in one case and not in the other. -Nature, Vol. 102 [1919]

Download or read book Functions of Several Variables written by Wendell Fleming and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new edition, like the first, presents a thorough introduction to differential and integral calculus, including the integration of differential forms on manifolds. However, an additional chapter on elementary topology makes the book more complete as an advanced calculus text, and sections have been added introducing physical applications in thermodynamics, fluid dynamics, and classical rigid body mechanics.

Download or read book The Theory of Maxima and Minima written by Harris Hancock and published by . This book was released on 2018-12-03 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: THE theory of maxima and minima contains pitfalls into which have fallen such well-known mathematicians as Lagrange, Bertrand, Serret, and Todhunter. A peculiar interest, therefore, is attached to the subject, and the reader will find Prof. Hancock's book well worth his study. Except that there is no reference to calculus of variations, the author has succeeded in covering the ground fairly thoroughly, and that without allowing the argument to be anywhere tedious. He gives many references, and a few quite interesting examples. After a short investigation of maxima and minima of functions of a single variable, he gives in some detail the methods of Scheeffer and von Dantscher, which introduced rigour into the discussion of functions of two or three variables. The theory here is intimately connected with the theory of quadratic forms and singularities of higher plane curves. The author seems not to have read such books as Bromwich's "Quadratic Forms," Hilton's "Linear Substitutions," or Muth's "Elementartheilar," which would have enabled him in places to simplify his treatment of quadratic forms. In tracing a plane curve near a singularity, the author should have made use of Newton's diagram. He should also have avoided such a phrase as "cusps of the first and second kind," which implies that the cusps in question are comparable. whereas the latter is a singularity of much higher complexity than the former. The chapter on relative maxima and minima is especially interesting. The discussion usually given in the text-books is very scanty, and the fuller treatment here given is very welcome. A valuable point is made in §§ 98--107. The usual proof that the maximum triangle inscribed in a given circle is equilateral runs as follows: "If not, suppose ABC to be the greatest triangle. If AB+AC, let D bisect the arc BAC. Then the triangle BDC>BAC, etc." Is this argument admissible? The reader may compare the following reasoning, due to an Italian author: "Unity is the greatest integer. For, if not, suppose n (≠ x) the greatest. Then n2 > n, etc." The proofs run parallel, but the tacit assumption (a greatest triangle or integer exists) is lawful in one case and not in the other. --Nature, Vol. 102 [1919]

Download or read book Functions of Several Real Variables written by Martin A. Moskowitz and published by World Scientific. This book was released on 2011 with total page 733 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book begins with the basics of the geometry and topology of Euclidean space and continues with the main topics in the theory of functions of several real variables including limits, continuity, differentiation and integration. All topics and in particular, differentiation and integration, are treated in depth and with mathematical rigor. The classical theorems of differentiation and integration are proved in detail and many of them with novel proofs. The authors develop the theory in a logical sequence building one theorem upon the other, enriching the development with numerous explanatory remarks and historical footnotes. A number of well chosen illustrative examples and counter-examples clarify the theory and teach the reader how to apply it to solve problems in mathematics and other sciences and economics. Each of the chapters concludes with groups of exercises and problems, many of them with detailed solutions while others with hints or final answers. More advanced topics, such as Morse's lemma, Brouwer's fixed point theorem, Picard's theorem and the Weierstrass approximation theorem are discussed in stared sections.

Download or read book Lectures on the Theory of Maxima and Minima of Functions of Several Variables written by Harris Hancock and published by . This book was released on 1902 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book History of the Development of Maxima and Minima as Applied to Functions of Two Or More Variables written by Anthony Boyd Crawley and published by . This book was released on 1934 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Theory and Applications of Differentiable Functions of Several Variables written by S. M. Nikol'skii and published by American Mathematical Soc.. This book was released on 1982-12-31 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Theory of Maxima and Minima of a Function of Two Variables written by William C. McCauley and published by . This book was released on 1957 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: