Home | Amazing | Today | Tags | Publishers | Years | Account | Search 
The Early Mathematical Manuscripts of Leibniz (Dover Books on Mathematics)

Buy
This text features Leibniz's own accounts of his work and comprises critical and historical notes and essays. An informative Introduction leads to the "postscript" to Leibniz's 1703 letter to James Bernoulli, his "Historia et Origio Calculi Differentialis," and manuscripts of the period 1673-77. Essays by C. I. Gerhardt follow, along with additional letters and manuscripts by Leibniz.

A STUDY of the early mathematical work of Leibniz seems to be of importance for at least two reasons. In the first place, Leibniz was certainly not alone among great men in presenting in his early work almost all the important mathematical ideas contained in his mature work. In the second place, the main ideas of his philosophy are to be attributed to his mathematical work, and not vice versa. The manuscripts of Leibniz, which have been preserved with such great care in the Royal Library at Hanover, show, perhaps more clearly than his published work, the great importance which Leibniz attached to suitable notation in mathematics and, it may be added, in logic generally. He was, perhaps, the earliest to realize fully and correctly the important influence of a calculus on discovery. The almost mechanical operations which we go through when we are using a calculus enable us to discover facts of mathematics or logic without any of that expenditure of the energy of thought which is so necessary when we are dealing with a department of knowledge that has not yet been reduced to the domain of operation of a calculus. There is a frivolous objection raised by philosophers of a superficial type, to the effect that such economy of thought is an attempt to substitute unthinking mechanism for living thought. This contention fails of its purpose through the simple fact that this economy is only used in certain circumstances. In no science do we try to make subject to a mechanical calculus any trains of reasoning except such that have not been the object of careful thought many times previously. Not only so, but this reasoning has been universally recognized "as valid, and we do not wish to waste energy of thought in repeating it when so much remains to be discovered by means of this energy. Since the time of Leibniz, this truth has been recognized, explicitly or implicitly, by all the greatest mathematical analysts.
(HTML tags aren't allowed.)

Building Applications for the Mac App Store
Building Applications for the Mac App Store

In this Wrox Blox, you will learn how to obtain and access the Mac App Store from your Mac. You will also learn about the opportunities available for developers who want to venture into the Mac market. This Wrox Blox also walks you through the steps you need to perform to publish your apps in the Mac App Store. You will use the Xcode 4...

Pro Objective-C
Pro Objective-C

The Objective-C programming language continues to grow in popularity and usage because of the power and ease-of-use of the language itself, along with the numerous features that continue to be added to the platform.  If you have a basic knowledge of the language and want to further your expertise, Pro Objective-C is the book for...

Photoshop Elements 8 All-in-One For Dummies
Photoshop Elements 8 All-in-One For Dummies

Improve your photos with the exciting new version of Photoshop Elements

Photoshop Elements has come a long way from its early days as Photoshop’s low-end cousin. Now a feature-rich editing program popular with professionals as well as hobbyist photographers, Elements boasts versatile tools and capabilities. With these...


Management and the Arts, Fourth Edition
Management and the Arts, Fourth Edition

Management and the Arts, Fourth Edition provides you with theory and practical applications from all management perspectives including planning, marketing, finance, economics, organizational, staffing, and group dynamics ALL related to an arts organization. Whether you are a manager in a theatre, museum, dance company, or opera, you will gain...

.NET Web Services: Architecture and Implementation
.NET Web Services: Architecture and Implementation

.NET Web Services is the authoritative guide to designing and architecting better Web services using Microsoft technologies. Written by Keith Ballinger, a Program Manager for XML Web Services at Microsoft, this book explains what Web...

Dreamweaver CS6 Mobile and Web Development with HTML5, CSS3, and jQuery Mobile
Dreamweaver CS6 Mobile and Web Development with HTML5, CSS3, and jQuery Mobile

This book combines accessible, clear, engaging, and candid reference material, advice, and shortcuts with substantial step by step instructions for creating a wide range of HTML5 and CSS3 designs and page content in Dreamweaver. This book is geared towards experienced Dreamweaver web designers migrating to HTML5 and jQuery. It also targets...

©2019 LearnIT (support@pdfchm.net) - Privacy Policy