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Author: Horace Wilmer Marsh Publisher: Forgotten Books ISBN: 9780332393766 Category : Mathematics Languages : en Pages : 264
Book Description
Excerpt from Constructive Text-Book of Practical Mathematics, Vol. 3 IN this period of education when every study is measured by its vocational value, one must be wise indeed not to be misled into the belief that geometry is of value in the business or industry or profession in which one shall engage, only when its study is interspersed with every conceivable application. Yet the supreme value of demonstrative geometry to a boy or girl or to an older person, consists not in the various ways in which it may be applied, but in the fact that its study, when uninterrupted by extraneous material, gives the ability to think clearly and logically. 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.
Author: Horace Wilmer Marsh Publisher: Forgotten Books ISBN: 9780332393766 Category : Mathematics Languages : en Pages : 264
Book Description
Excerpt from Constructive Text-Book of Practical Mathematics, Vol. 3 IN this period of education when every study is measured by its vocational value, one must be wise indeed not to be misled into the belief that geometry is of value in the business or industry or profession in which one shall engage, only when its study is interspersed with every conceivable application. Yet the supreme value of demonstrative geometry to a boy or girl or to an older person, consists not in the various ways in which it may be applied, but in the fact that its study, when uninterrupted by extraneous material, gives the ability to think clearly and logically. 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.
Author: Horace Wilmer Marsh Publisher: Forgotten Books ISBN: 9781330115268 Category : Mathematics Languages : en Pages : 264
Book Description
Excerpt from Constructive Text-Book of Practical Mathematics, Vol. 3 In this period of education when every study is measured by its vocational value, one must be wise indeed not to be misled into the belief that geometry is of value in the business or industry or profession in which one shall engage, only when its study is interspersed with every conceivable application. Yet the supreme value of demonstrative geometry to a boy or girl or to an older person, consists not in the various ways in which it may be applied, but in the fact that its study, when uninterrupted by extraneous material, gives the ability to think clearly and logically. The development of reason through the use of the mind in reasoning, and the mind's inherent self-activity, are therefore two of the unchallenged facts which underly the subject-matter and method of this book. The knowledge and acceptance of these principles are as general as is their disregard. With hardly an exception demonstrative geometries from Euclid to the present, in method of presentation are essentially Euclidean. Theorem, figure, hypothesis, conclusion, and "Q.E. D.", succeed each other in undeviating order. The results of the use of this method are inevitable. Students naturally mathematical acquire a formal knowledge of geometry and a restricted development of reason; others develop memory of demonstrations, only. 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.
Author: Richard H. Hammack Publisher: ISBN: 9780989472111 Category : Mathematics Languages : en Pages : 314
Book Description
This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity.
Author: Claude E Shannon Publisher: University of Illinois Press ISBN: 025209803X Category : Language Arts & Disciplines Languages : en Pages : 141
Book Description
Scientific knowledge grows at a phenomenal pace--but few books have had as lasting an impact or played as important a role in our modern world as The Mathematical Theory of Communication, published originally as a paper on communication theory more than fifty years ago. Republished in book form shortly thereafter, it has since gone through four hardcover and sixteen paperback printings. It is a revolutionary work, astounding in its foresight and contemporaneity. The University of Illinois Press is pleased and honored to issue this commemorative reprinting of a classic.
Author: Terence Tao Publisher: American Mathematical Soc. ISBN: 1470466406 Category : Education Languages : en Pages : 206
Book Description
This is a graduate text introducing the fundamentals of measure theory and integration theory, which is the foundation of modern real analysis. The text focuses first on the concrete setting of Lebesgue measure and the Lebesgue integral (which in turn is motivated by the more classical concepts of Jordan measure and the Riemann integral), before moving on to abstract measure and integration theory, including the standard convergence theorems, Fubini's theorem, and the Carathéodory extension theorem. Classical differentiation theorems, such as the Lebesgue and Rademacher differentiation theorems, are also covered, as are connections with probability theory. The material is intended to cover a quarter or semester's worth of material for a first graduate course in real analysis. There is an emphasis in the text on tying together the abstract and the concrete sides of the subject, using the latter to illustrate and motivate the former. The central role of key principles (such as Littlewood's three principles) as providing guiding intuition to the subject is also emphasized. There are a large number of exercises throughout that develop key aspects of the theory, and are thus an integral component of the text. As a supplementary section, a discussion of general problem-solving strategies in analysis is also given. The last three sections discuss optional topics related to the main matter of the book.
Author: John Dewey Publisher: Createspace Independent Publishing Platform ISBN: Category : Juvenile Nonfiction Languages : en Pages : 456
Book Description
. Renewal of Life by Transmission. The most notable distinction between living and inanimate things is that the former maintain themselves by renewal. A stone when struck resists. If its resistance is greater than the force of the blow struck, it remains outwardly unchanged. Otherwise, it is shattered into smaller bits. Never does the stone attempt to react in such a way that it may maintain itself against the blow, much less so as to render the blow a contributing factor to its own continued action. While the living thing may easily be crushed by superior force, it none the less tries to turn the energies which act upon it into means of its own further existence. If it cannot do so, it does not just split into smaller pieces (at least in the higher forms of life), but loses its identity as a living thing. As long as it endures, it struggles to use surrounding energies in its own behalf. It uses light, air, moisture, and the material of soil. To say that it uses them is to say that it turns them into means of its own conservation. As long as it is growing, the energy it expends in thus turning the environment to account is more than compensated for by the return it gets: it grows. Understanding the word "control" in this sense, it may be said that a living being is one that subjugates and controls for its own continued activity the energies that would otherwise use it up. Life is a self-renewing process through action upon the environment.
Author: Horace Wilmer Marsh
Author: Horace Wilmer Marsh
Author: Horace Wilmer Marsh
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Author: Thomas Williams Bicknell
Author: Richard H. Hammack
Author: Claude E Shannon
Author: Terence Tao
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Author: 
Author: John Dewey