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Einfuhrung In Die Mathematik
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Book Synopsis Introduction to Geometry and Topology by : Werner Ballmann
Download or read book Introduction to Geometry and Topology written by Werner Ballmann and published by Birkhäuser. This book was released on 2018-07-18 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to topology, differential topology, and differential geometry. It is based on manuscripts refined through use in a variety of lecture courses. The first chapter covers elementary results and concepts from point-set topology. An exception is the Jordan Curve Theorem, which is proved for polygonal paths and is intended to give students a first glimpse into the nature of deeper topological problems. The second chapter of the book introduces manifolds and Lie groups, and examines a wide assortment of examples. Further discussion explores tangent bundles, vector bundles, differentials, vector fields, and Lie brackets of vector fields. This discussion is deepened and expanded in the third chapter, which introduces the de Rham cohomology and the oriented integral and gives proofs of the Brouwer Fixed-Point Theorem, the Jordan-Brouwer Separation Theorem, and Stokes's integral formula. The fourth and final chapter is devoted to the fundamentals of differential geometry and traces the development of ideas from curves to submanifolds of Euclidean spaces. Along the way, the book discusses connections and curvature--the central concepts of differential geometry. The discussion culminates with the Gauß equations and the version of Gauß's theorema egregium for submanifolds of arbitrary dimension and codimension. This book is primarily aimed at advanced undergraduates in mathematics and physics and is intended as the template for a one- or two-semester bachelor's course.
Download or read book Einführung in die Mathematik written by and published by . This book was released on 1971 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Einführung in die Mathematik by : Uwe Kraeft
Download or read book Einführung in die Mathematik written by Uwe Kraeft and published by . This book was released on 2008-01 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Einführung in die Mathematik written by and published by . This book was released on 1971 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Einführung in die Mathematik by : Max Schuler
Download or read book Einführung in die Mathematik written by Max Schuler and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Einführungskurs in die Mathematik by : Ewald Grether
Download or read book Einführungskurs in die Mathematik written by Ewald Grether and published by . This book was released on 1971 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Differentialgleichungen by : Wolfgang Grobner
Download or read book Differentialgleichungen written by Wolfgang Grobner and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dieses Buch beruht auf 40 lahren intensiven Studiums der Differentialglei chungen, sowohl yom theoretischen als auch yom praktischen Gesichtspunkt aus, eines Studiums, das mit meiner Tatigkeit im Rechen-Institut M. Picones in Rom begann, sodann fortgesetzt wurde in der Gruppe flir Industriemathema tik der Luftfahrt-Forschungsanstalt in Braunschweig, und endlich mit meinen Vorlesungen, hauptsachlich an der Universitat Innsbruck, abgeschlossen wurde. Die Zeit der Weltraumfliige stellte hier neue Aufgaben der Bahnberechnung von Satelliten, deren Bearbeitung theoretisch eine geschlossene Formel zur Losung des n-Korper-Problems, praktisch eine neue Methode zur Berechnung von reguJaren Differentialgleichungssystemen zeitigte, die mit den besten bekannten Losungsmethoden erfolgreich in Konkurrenz treten konnte, was vor aHem meinen Mitarbeitern H. Knapp und G. Wanner zu danken war. Die Vorlesung iiber Differentialgleichungen habe ich seit 1947 in regelmaBi gen Abstanden an der Universitat Innsbruck gehalten, bei jeder Wiederholung neu bearbeitet und durch Seminararbeiten vervollstandigt; auch in meiner flir Physik-Studenten besonders gehaltenen Vorlesung iiber {raquo}Die mathemati schen Methoden der Physik{laquo} habe ich in gekiirzter Form immer die {raquo}Differen tialgleichungen{laquo} eingeschlossen. In der vorliegenden Fassung wurde vor allem das zweite Kapitel iiber Diffe rentialgleichungen mit analytischen Koeffizienten, also speziell der hypergeome trischen, Besselschen und Kummerschen Differentialgleichungen' neu gefaBt und einem neuen Ordnungsprinzip, der {raquo}Invariante{laquo}, unterworfen. Damit ge lingt es, jede vorgelegte Differentialgleichung rasch einzuordnen und auf eine dieser Standardformen zu transformieren. Diese Transformationsformeln wur den neu entwickelt und werden hier zum ersten Mal veroffentlicht. Fiir alle Satze und Entwicklungen werden strenge Beweise geboten; z. B.
Book Synopsis Einführung in die Mathematik by : Ewald Grether
Download or read book Einführung in die Mathematik written by Ewald Grether and published by . This book was released on 1967 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Mathematical Imagination by : Matthew Handelman
Download or read book The Mathematical Imagination written by Matthew Handelman and published by Fordham Univ Press. This book was released on 2019-03-05 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an archeology of the undeveloped potential of mathematics for critical theory. As Max Horkheimer and Theodor W. Adorno first conceived of the critical project in the 1930s, critical theory steadfastly opposed the mathematization of thought. Mathematics flattened thought into a dangerous positivism that led reason to the barbarism of World War II. The Mathematical Imagination challenges this narrative, showing how for other German-Jewish thinkers, such as Gershom Scholem, Franz Rosenzweig, and Siegfried Kracauer, mathematics offered metaphors to negotiate the crises of modernity during the Weimar Republic. Influential theories of poetry, messianism, and cultural critique, Handelman shows, borrowed from the philosophy of mathematics, infinitesimal calculus, and geometry in order to refashion cultural and aesthetic discourse. Drawn to the austerity and muteness of mathematics, these friends and forerunners of the Frankfurt School found in mathematical approaches to negativity strategies to capture the marginalized experiences and perspectives of Jews in Germany. Their vocabulary, in which theory could be both mathematical and critical, is missing from the intellectual history of critical theory, whether in the work of second generation critical theorists such as Jürgen Habermas or in contemporary critiques of technology. The Mathematical Imagination shows how Scholem, Rosenzweig, and Kracauer’s engagement with mathematics uncovers a more capacious vision of the critical project, one with tools that can help us intervene in our digital and increasingly mathematical present. The Mathematical Imagination is available from the publisher on an open-access basis.
Download or read book Einführung in die Mathematik written by and published by . This book was released on 1997 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematik by : Heinz-M. Blankenburg
Download or read book Mathematik written by Heinz-M. Blankenburg and published by . This book was released on 1991 with total page 73 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Einführung in die angewandte Mathematik by : Uwe Kraeft
Download or read book Einführung in die angewandte Mathematik written by Uwe Kraeft and published by . This book was released on 2012 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis International Catalogue of Scientific Literature by :
Download or read book International Catalogue of Scientific Literature written by and published by . This book was released on 1913 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Dict Philos Terms Germ-Eng V1 by : Phillip Herdina
Download or read book Dict Philos Terms Germ-Eng V1 written by Phillip Herdina and published by Routledge. This book was released on 2013-01-11 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: Available on its own, or as part of a two-volume set, this German-English dictionary is the first comprehensive work in the field and an indispensible companion for students, academics, translators and linguists concerned with almost any area of philosophy.
Download or read book Einführung in die Mathematik written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Philosophy of Mathematics by : Thomas Bedürftig
Download or read book Philosophy of Mathematics written by Thomas Bedürftig and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-10-26 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book is an introduction to the philosophy of mathematics. It asks philosophical questions concerning fundamental concepts, constructions and methods - this is done from the standpoint of mathematical research and teaching. It looks for answers both in mathematics and in the philosophy of mathematics from their beginnings till today. The reference point of the considerations is the introducing of the reals in the 19th century that marked an epochal turn in the foundations of mathematics. In the book problems connected with the concept of a number, with the infinity, the continuum and the infinitely small, with the applicability of mathematics as well as with sets, logic, provability and truth and with the axiomatic approach to mathematics are considered. In Chapter 6 the meaning of infinitesimals to mathematics and to the elements of analysis is presented. The authors of the present book are mathematicians. Their aim is to introduce mathematicians and teachers of mathematics as well as students into the philosophy of mathematics. The book is suitable also for professional philosophers as well as for students of philosophy, just because it approaches philosophy from the side of mathematics. The knowledge of mathematics needed to understand the text is elementary. Reports on historical conceptions. Thinking about today‘s mathematical doing and thinking. Recent developments. Based on the third, revised German edition. For mathematicians - students, teachers, researchers and lecturers - and readersinterested in mathematics and philosophy. Contents On the way to the reals On the history of the philosophy of mathematics On fundamental questions of the philosophy of mathematics Sets and set theories Axiomatic approach and logic Thinking and calculating infinitesimally – First nonstandard steps Retrospection
Book Synopsis Lectures on the Philosophy of Mathematics by : Friedrich Waismann
Download or read book Lectures on the Philosophy of Mathematics written by Friedrich Waismann and published by BRILL. This book was released on 2022-11-07 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
