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The tangled origins of the Leibnizia...
~
Brown, Richard C.
The tangled origins of the Leibnizian calculusa case study of a mathematical revolution /
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
The tangled origins of the Leibnizian calculusRichard C Brown.
其他題名:
a case study of a mathematical revolution /
作者:
Brown, Richard C.
出版者:
Singapore :World Scientific,2012.
面頁冊數:
1 online resource (333 p.)
標題:
CalculusHistory17th century.
電子資源:
http://www.worldscientific.com/worldscibooks/10.1142/8413#t=toc
ISBN:
9789814390804 (electronic bk.)
The tangled origins of the Leibnizian calculusa case study of a mathematical revolution /
Brown, Richard C.
The tangled origins of the Leibnizian calculus
a case study of a mathematical revolution /[electronic resource] :Richard C Brown. - Singapore :World Scientific,2012. - 1 online resource (333 p.)
Includes bibliographical references and index.
Preface; Acknowledgments; 1. Evolution or Revolution in Mathematics; 2. Issues in Seventeenth Century Mathematics; 3. Isaac Barrow: A Foil to Leibniz; 4. A Young Central European Polymath; 5. First Steps in Mathematics; 6. The Creation of Calculus; 7. Logic; 8. The Universal Characteristic; 9. The Baroque Cultural Context; 10. Epilogue; 11. Some Concluding Remarks on Mathematical Change; Appendix A A Transmutation Theorem of Leibniz; Appendix B Leibniz's Series Quadrature of a Conic; Appendix C Syllogistic Logic; Appendix D The Vis Viva Dispute.
This book is a detailed study of Gottfried Wilhelm Leibniz's creation of calculus from 1673 to the 1680s. We examine and analyze the mathematics in several of his early manuscripts as well as various articles published in the Acta Eruditorum. It studies some of the other lesser known "calculi" Leibniz created such as the Analysis Situs, delves into aspects of his logic, and gives an overview of his efforts to construct a Universal Characteristic, a goal that has its distant origin in the Ars Magna of the 13th century Catalan philosopher Raymond Llull, whose work enjoyed a renewed popularity in.
ISBN: 9789814390804 (electronic bk.)Subjects--Personal Names:
178974
Leibniz, Gottfried Wilhelm,
Freiherr von,1646-1716.Subjects--Topical Terms:
717083
Calculus
--History--17th century.
LC Class. No.: QA303
Dewey Class. No.: 515.09
The tangled origins of the Leibnizian calculusa case study of a mathematical revolution /
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Preface; Acknowledgments; 1. Evolution or Revolution in Mathematics; 2. Issues in Seventeenth Century Mathematics; 3. Isaac Barrow: A Foil to Leibniz; 4. A Young Central European Polymath; 5. First Steps in Mathematics; 6. The Creation of Calculus; 7. Logic; 8. The Universal Characteristic; 9. The Baroque Cultural Context; 10. Epilogue; 11. Some Concluding Remarks on Mathematical Change; Appendix A A Transmutation Theorem of Leibniz; Appendix B Leibniz's Series Quadrature of a Conic; Appendix C Syllogistic Logic; Appendix D The Vis Viva Dispute.
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Appendix E Some Applications of Curves and Neusis in Greek GeometryAppendix F Infinitesimals; A Note on the Author; Bibliography; Index.
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http://www.worldscientific.com/worldscibooks/10.1142/8413#t=toc
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