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Calculus For The Practical Man

Author: J. E. Thompson
Publisher: Read Books Ltd
ISBN: 1446547086
Size: 42.29 MB
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This book on calculus is one of a series designed by the author and publisher for the reader with an interest in the meaning and simpler technique of mathematical science, and for those who wish to obtain a practical mastery of some of the more usual and directly useful branches of the science without the aid of a teacher. Like the other books in the series it is the outgrowth of the author's experience with students such as those mentioned and the demand experienced by the publisher for books which may be read as well as studied. One of the outstanding features of the book is the use of the method of rates instead of the method of limits. To the conventional teacher of mathematics, whose students work for a college degree and look toward the modern theory of functions, the author hastens to say that for their purposes the limit method is the only method which can profitably be used. To the readers contemplated in the preparation of this book, however, the notion of a limit and any method of calculation based upon it always seem artificial and not in any way connected with the familiar ideas of numbers, algebraic symbolism or natural phenomena. On the other hand, the method of rates seems a direct application of the principle which such a reader has often heard mentioned as the extension of arithmetic and algebra with which he must become acquainted before he can perform calculations which involve changing quantities. The familiarity of examples of changing quantities in every-day life also makes it a simple matter to introduce the terminology of the calculus; teachers and readers will recall the difficulty encountered in this connection in more formal treatments. The scope and range of the book are evident from the table of contents. The topics usually found in books on the calculus but not appearing here are omitted in conformity with the plan of the book as stated in the first paragraph above. An attempt has been made to approach the several parts of the subject as naturally and directly as possible, to show as clearly as possible the unity and continuity of the subject as a whole, to show what the calculus is all about and how it is used, and to present the material in as simple, straightforward and informal a style as it will permit. It is hoped thus that the book will be of the greatest interest and usefulness to the readers mentioned above.

Mathematics For The Practical Man

Author: George Howe
Publisher: Createspace Independent Pub
ISBN: 9781495291463
Size: 66.73 MB
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A review from The Sibley Journal of Engineering, Volume 30: “Books for self-instruction are constantly being sought. In this book mathematics, from algebra through calculus, has been treated in such a manner as to be clear to anyone. Men who wish to study a part of mathematics which they have not hitherto had, engineers who wish to refer to phases of mathematics which so easily slip from the memory, students who desire a simple reference book, will find this manual just the book for which they have been looking.”

Mathematics For The Practical Man Explaining Simply And Quickly All The Elements Of Algebra Geometry Trigonometry Logarithms Coo Rdinate Geometry Calculus With Answers To Problems

Author: George Howe
Publisher: Lulu.com
ISBN: 035907765X
Size: 59.25 MB
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Books for self-instruction are constantly being sought. In this book mathematics, from algebra through calculus, has been treated in such a manner as to be clear to anyone. Men who wish to study a part of mathematics which they have not hitherto had, engineers who wish to refer to phases of mathematics which so easily slip from the memory, students who desire a simple reference book, will find this manual just the book for which they have been looking.

Tipps Zur Physik

Author: Richard P. Feynman
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 311039684X
Size: 65.76 MB
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This supplemental volume contains lectures long thought lost, which Richard Feynman used to prepare his students for their examination.

Mathematisches Denken

Author: T.W. Körner
Publisher: Springer-Verlag
ISBN: 3034850018
Size: 12.79 MB
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Dieses Buch wendet sich zuallererst an intelligente Schüler ab 14 Jahren sowie an Studienanfänger, die sich für Mathematik interessieren und etwas mehr als die Anfangsgründe dieser Wissenschaft kennenlernen möchten. Es gibt inzwischen mehrere Bücher, die eine ähnliche Zielstellung verfolgen. Besonders gern erinnere ich mich an das Werk Vom Einmaleins zum Integral von Colerus, das ich in meiner Kindheit las. Es beginnt mit der folgenden entschiedenen Feststellung: Die Mathematik ist eine Mausefalle. Wer einmal in dieser Falle gefangen sitzt, findet selten den Ausgang, der zurück in seinen vormathematischen Seelenzustand leitet. ([49], S. 7) Einige dieser Bücher sind im Anhang zusammengestellt und kommen tiert. Tatsächlich ist das Unternehmen aber so lohnenswert und die Anzahl der schon vorhandenen Bücher doch so begrenzt, daß ich mich nicht scheue, ihnen ein weiteres hinzuzufügen. An zahlreichen amerikanischen Universitäten gibt es Vorlesungen, die gemeinhin oder auch offiziell als ,,Mathematik für Schöngeister'' firmieren. Dieser Kategorie ist das vorliegende Buch nicht zuzuordnen. Statt dessen soll es sich um eine ,,Mathematik für Mathematiker'' handeln, für Mathema tiker freilich, die noch sehr wenig von der Mathematik verstehen. Weshalb aber sollte nicht der eine oder andere von ihnen eines Tages den Autor dieses 1 Buches durch seine Vorlesungen in Staunen versetzen? Ich hoffe, daß auch meine Mathematikerkollegen Freude an dem Werk haben werden, und ich würde mir wünschen, daß auch andere Leser, bei denen die Wertschätzung für die Mathematik stärker als die Furcht vor ihr ist, Gefallen an ihm finden mögen.

Grundlagen Der Geometrie

Author: David Hilbert
Publisher: SEVERUS Verlag
ISBN: 3863479467
Size: 53.94 MB
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Seine Erkenntnisse beeinflussen bis heute die Forschung: David Hilbert baut in seinen „Grundlagen der Geometrie“ auf Euklids Lehre ein Grundsatzsystem auf, von dem ausgehend er wichtige geometrische Sätze ableitet. Die erstmals 1899 erschienene Abhandlung machte Hilbert zu einem der wichtigsten Mathematiker der Neuzeit, der auch den Formalismus entscheidend prägte.