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The Mathematical Works Of Bernard Bolzano Published Between 1804 And 1817 Bd 1 Dissertation
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Book Synopsis The Mathematical Works Of Bernard Bolzano Published Between 1804 And 1817. Bd 1. Dissertation by : Stephen Bruce Russ
Download or read book The Mathematical Works Of Bernard Bolzano Published Between 1804 And 1817. Bd 1. Dissertation written by Stephen Bruce Russ and published by . This book was released on 1980 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Making up Numbers: A History of Invention in Mathematics by : Ekkehard Kopp
Download or read book Making up Numbers: A History of Invention in Mathematics written by Ekkehard Kopp and published by Open Book Publishers. This book was released on 2020-10-23 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Making up Numbers: A History of Invention in Mathematics offers a detailed but accessible account of a wide range of mathematical ideas. Starting with elementary concepts, it leads the reader towards aspects of current mathematical research. The book explains how conceptual hurdles in the development of numbers and number systems were overcome in the course of history, from Babylon to Classical Greece, from the Middle Ages to the Renaissance, and so to the nineteenth and twentieth centuries. The narrative moves from the Pythagorean insistence on positive multiples to the gradual acceptance of negative numbers, irrationals and complex numbers as essential tools in quantitative analysis. Within this chronological framework, chapters are organised thematically, covering a variety of topics and contexts: writing and solving equations, geometric construction, coordinates and complex numbers, perceptions of ‘infinity’ and its permissible uses in mathematics, number systems, and evolving views of the role of axioms. Through this approach, the author demonstrates that changes in our understanding of numbers have often relied on the breaking of long-held conventions to make way for new inventions at once providing greater clarity and widening mathematical horizons. Viewed from this historical perspective, mathematical abstraction emerges as neither mysterious nor immutable, but as a contingent, developing human activity. Making up Numbers will be of great interest to undergraduate and A-level students of mathematics, as well as secondary school teachers of the subject. In virtue of its detailed treatment of mathematical ideas, it will be of value to anyone seeking to learn more about the development of the subject.
Book Synopsis Bernhard Riemann 1826–1866 by : Detlef Laugwitz
Download or read book Bernhard Riemann 1826–1866 written by Detlef Laugwitz and published by Springer Science & Business Media. This book was released on 2009-06-08 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: The name of Bernard Riemann is well known to mathematicians and physicists around the world. His name is indelibly stamped on the literature of mathematics and physics. This remarkable work, rich in insight and scholarship, is addressed to mathematicians, physicists, and philosophers interested in mathematics. It seeks to draw those readers closer to the underlying ideas of Riemann’s work and to the development of them in their historical context. This illuminating English-language version of the original German edition will be an important contribution to the literature of the history of mathematics.
Book Synopsis A Textbook on Ordinary Differential Equations by : Shair Ahmad
Download or read book A Textbook on Ordinary Differential Equations written by Shair Ahmad and published by Springer. This book was released on 2015-06-05 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers readers a primer on the theory and applications of Ordinary Differential Equations. The style used is simple, yet thorough and rigorous. Each chapter ends with a broad set of exercises that range from the routine to the more challenging and thought-provoking. Solutions to selected exercises can be found at the end of the book. The book contains many interesting examples on topics such as electric circuits, the pendulum equation, the logistic equation, the Lotka-Volterra system, the Laplace Transform, etc., which introduce students to a number of interesting aspects of the theory and applications. The work is mainly intended for students of Mathematics, Physics, Engineering, Computer Science and other areas of the natural and social sciences that use ordinary differential equations, and who have a firm grasp of Calculus and a minimal understanding of the basic concepts used in Linear Algebra. It also studies a few more advanced topics, such as Stability Theory and Boundary Value Problems, which may be suitable for more advanced undergraduate or first-year graduate students. The second edition has been revised to correct minor errata, and features a number of carefully selected new exercises, together with more detailed explanations of some of the topics. A complete Solutions Manual, containing solutions to all the exercises published in the book, is available. Instructors who wish to adopt the book may request the manual by writing directly to one of the authors.
Book Synopsis Universities in Imperial Austria 1848–1918 by : Jan Surman
Download or read book Universities in Imperial Austria 1848–1918 written by Jan Surman and published by Purdue University Press. This book was released on 2018-12-15 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combining history of science and a history of universities with the new imperial history, Universities in Imperial Austria 1848–1918: A Social History of a Multilingual Space by Jan Surman analyzes the practice of scholarly migration and its lasting influence on the intellectual output in the Austrian part of the Habsburg Empire. The Habsburg Empire and its successor states were home to developments that shaped Central Europe's scholarship well into the twentieth century. Universities became centers of both state- and nation-building, as well as of confessional resistance, placing scholars if not in conflict, then certainly at odds with the neutral international orientation of academe. By going beyond national narratives, Surman reveals the Empire as a state with institutions divided by language but united by legislation, practices, and other influences. Such an approach allows readers a better view to how scholars turned gradually away from state-centric discourse to form distinct language communities after 1867; these influences affected scholarship, and by examining the scholarly record, Surman tracks the turn. Drawing on archives in Austria, the Czech Republic, Poland, and Ukraine, Surman analyzes the careers of several thousand scholars from the faculties of philosophy and medicine of a number of Habsburg universities, thus covering various moments in the history of the Empire for the widest view. Universities in Imperial Austria 1848–1918 focuses on the tension between the political and linguistic spaces scholars occupied and shows that this tension did not lead to a gradual dissolution of the monarchy’s academia, but rather to an ongoing development of new strategies to cope with the cultural and linguistic multitude.
Book Synopsis Hegel: Contra Sociology by : Gillian Rose
Download or read book Hegel: Contra Sociology written by Gillian Rose and published by A&C Black. This book was released on 2000-12-01 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: This original and challenging book presents a radical revision of traditional assessments of Hegel. Gillian Rose argues that the classical origins of contemporary non-Marxist and Marxist sociology rest on the 'neo-Kantian' paradigm and that Hegel's thought anticipates and criticises the limitations of this paradigm and the problems of methodologism and moralism in sociological method. Hegel's major mature works are expounded in the light of his early radical writings. From this unusual perspective Dr Rose shows that Hegel's speculative discourse is a powerful critique of bourgeois property relations and law, or art and religion as misrepresentation and of the inversions and end of culture. The book concludes with a discussion of the end of philosophy, the repetition of sociology and the culture and fate of Marxism.
Book Synopsis The Theory of Science by : Bernard Bolzano
Download or read book The Theory of Science written by Bernard Bolzano and published by Univ of California Press. This book was released on 1972-01-01 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Memorabilia Mathematica by : Robert Edouard Moritz
Download or read book Memorabilia Mathematica written by Robert Edouard Moritz and published by Theclassics.Us. This book was released on 2013-09 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1914 edition. Excerpt: ...identical, is as much at home in the art of reasoning as anywhere else: and this is why no science, whether biology or any other, can offer any kind of reasoning, of which mathematics does not supply a simpler and purer counterpart. Thus, we are enabled to eliminate the only remaining portion of the old philosophy which could even appear to offer any real utility; the logical part, the value of which is irrevocably absorbed by mathematical science.--Comte, A. Positive Philosophy, Martineau, (London, 1875), Vol. 1, pp. 321-322. 1316. We know that mathematicians care no more for logic than logicians for mathematics. The two eyes of exact science are mathematics and logic: the mathematical sect puts out the logical eye, the logical sect puts out the mathematical eye; each believing that it can see better with one eye than with two. De Morgan, A. Quoted in F. Cajori: History of Mathematics (New York, 1897), p. 316. 1316. The progress of the art of rational discovery depends in a great part upon the art of characteristic (ars characteristica). The reason why people usually seek demonstrations only in numbers and lines and things represented by these is none other than that there are not, outside of numbers, convenient characters corresponding to the notions.--Leibnitz, G. W. Philosophische Schriften Gerhardt Bd. 8, p. 198. 1317. The influence of the mathematics of Leibnitz upon his philosophy appears chiefly in connection with his law of continuity and his prolonged efforts to establish a Logical Calculus.... To find a Logical Calculus (implying a universal philosophical language or system of signs) is an attempt to apply in theological and philosophical investigations an analytic method analogous to that which had proved so successful in...
Book Synopsis Disquisitiones Arithmeticae by : Carl Friedrich Gauss
Download or read book Disquisitiones Arithmeticae written by Carl Friedrich Gauss and published by Springer. This book was released on 2018-02-07 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: Carl Friedrich Gauss’s textbook, Disquisitiones arithmeticae, published in 1801 (Latin), remains to this day a true masterpiece of mathematical examination. .
Book Synopsis Topological (in) Hegel by : Borislav G. Dimitrov
Download or read book Topological (in) Hegel written by Borislav G. Dimitrov and published by Borislav Dimitrov. This book was released on 2018-01-23 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to critically examine whether it is methodologically possible to combine mathematical rigor – topology with a systematic dialectical methodology in Hegel, and if so, to provide as result of my interpretation the outline of Hegel’s Analysis Situs, also with the proposed models (build on the topological manifold, cobordism, topological data analysis, persistent homology, simplicial complexes and graph theory, to provide an indication of how the merger of Hegel’s dialectical logic and topology may be instrumental to a systematic logician and of how a systematic dialectical logic perspective may help mathematical model builders.
Book Synopsis The Shaping of Arithmetic after C.F. Gauss's Disquisitiones Arithmeticae by : Catherine Goldstein
Download or read book The Shaping of Arithmetic after C.F. Gauss's Disquisitiones Arithmeticae written by Catherine Goldstein and published by Springer Science & Business Media. This book was released on 2007-02-03 with total page 579 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since its publication, C.F. Gauss's Disquisitiones Arithmeticae (1801) has acquired an almost mythical reputation, standing as an ideal of exposition in notation, problems and methods; as a model of organisation and theory building; and as a source of mathematical inspiration. Eighteen authors - mathematicians, historians, philosophers - have collaborated in this volume to assess the impact of the Disquisitiones, in the two centuries since its publication.
Book Synopsis Music Lovers' Encyclopedia by : Rupert Hughes
Download or read book Music Lovers' Encyclopedia written by Rupert Hughes and published by . This book was released on 1919 with total page 1016 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Amadeus Book of the Violin by : Walter Kolneder
Download or read book The Amadeus Book of the Violin written by Walter Kolneder and published by Amadeus. This book was released on 1998 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: Available for the first time in English, this book has been considered the best single encyclopedia of the violin for 20 years. All aspects of the violin are covered: construction, history, and literature; violin playing and teaching; and violin virtuosos through the ages.
Book Synopsis Paradoxes of the Infinite (Routledge Revivals) by : Bernard Bolzano
Download or read book Paradoxes of the Infinite (Routledge Revivals) written by Bernard Bolzano and published by Routledge. This book was released on 2014-03-18 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: Paradoxes of the Infinite presents one of the most insightful, yet strangely unacknowledged, mathematical treatises of the 19th century: Dr Bernard Bolzano’s Paradoxien. This volume contains an adept translation of the work itself by Donald A. Steele S.J., and in addition an historical introduction, which includes a brief biography as well as an evaluation of Bolzano the mathematician, logician and physicist.
Book Synopsis The Gestation of German Biology by : John H. Zammito
Download or read book The Gestation of German Biology written by John H. Zammito and published by University of Chicago Press. This book was released on 2018 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores how and when biology emerged as a science in Germany. Beginning with the debate about organism between Georg Ernst Stahl and Gottfried Leibniz at the start of the eighteenth century, John Zammito traces the development of a new research program, culminating in 1800, in the formulation of developmental morphology. He shows how over the course of the century, naturalists undertook to transform some domains of natural history into a distinct branch of natural philosophy, which attempted not only to describe but to explain the natural world and became, ultimately, the science of biology.
Book Synopsis History of Architectural Conservation by : Jukka Jokilehto
Download or read book History of Architectural Conservation written by Jukka Jokilehto and published by Routledge. This book was released on 2007-06-07 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: A History of Architectural Conservation expands knowledge about the conservation of ancient monuments, works of art and historic buildings. It includes the origins of the interest in conservation within the European context, and the development of the concepts from Antiquity and the Renaissance to the present day. Jokilehto illustrates how this development has influenced international collaboration in the protection and conservation of cultural heritage, and how it has formed the principal concepts and approach to conservation and restoration in today's multi-cultural society. This book is based on archival research of original documents and the study of key restoration examples in countries that have influenced the international conservation movement. Accessible and of great interest to students and the general public it includes conservation trends in Europe, the USA, India, Iran and Japan.
Book Synopsis Collected Papers by : Bernhard Riemann
Download or read book Collected Papers written by Bernhard Riemann and published by . This book was released on 2004 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt:
