Differential-Difference Equations/Differential-Differenzengleichungen PDF Download

Author: COLLATZ
Publisher: Birkhäuser
ISBN: 3034867670
Category : Science
Languages : en
Pages : 190

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Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 578

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Author: Eduardo Noble
Publisher: Springer Nature
ISBN: 3030938204
Category : Mathematics
Languages : en
Pages : 424

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This text presents the ideas of a particular group of mathematicians of the late 18th century known as “the German combinatorial school” and its influence. The book tackles several questions concerning the emergence and historical development of the German combinatorial analysis, which was the unfinished scientific research project of that group of mathematicians. The historical survey covers the three main episodes in the evolution of that research project: its theoretical antecedents (which go back to the innovative ideas on mathematical analysis of the late 17th century) and first formulation, its consolidation as a foundationalist project of mathematical analysis, and its dissolution at the beginning of the 19th century. In addition, the book analyzes the influence of the ideas of the combinatorial school on German mathematics throughout the 19th century.

Author: Dirk J. Struik
Publisher: Courier Corporation
ISBN: 0486138186
Category : Mathematics
Languages : en
Pages : 254

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Elementary, yet authoritative and scholarly, this book offers an excellent brief introduction to the classical theory of differential geometry. It is aimed at advanced undergraduate and graduate students who will find it not only highly readable but replete with illustrations carefully selected to help stimulate the student's visual understanding of geometry. The text features an abundance of problems, most of which are simple enough for class use, and often convey an interesting geometrical fact. A selection of more difficult problems has been included to challenge the ambitious student. Written by a noted mathematician and historian of mathematics, this volume presents the fundamental conceptions of the theory of curves and surfaces and applies them to a number of examples. Dr. Struik has enhanced the treatment with copious historical, biographical, and bibliographical references that place the theory in context and encourage the student to consult original sources and discover additional important ideas there. For this second edition, Professor Struik made some corrections and added an appendix with a sketch of the application of Cartan's method of Pfaffians to curve and surface theory. The result was to further increase the merit of this stimulating, thought-provoking text — ideal for classroom use, but also perfectly suited for self-study. In this attractive, inexpensive paperback edition, it belongs in the library of any mathematician or student of mathematics interested in differential geometry.

Author:
Publisher:
ISBN:
Category : Catalogs, Subject
Languages : en
Pages : 800

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Author: Detlef Laugwitz
Publisher: Academic Press
ISBN: 1483263983
Category : Mathematics
Languages : en
Pages : 251

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Differential and Riemannian Geometry focuses on the methodologies, calculations, applications, and approaches involved in differential and Riemannian geometry. The book first offers information on local differential geometry of space curves and surfaces and tensor calculus and Riemannian geometry. Discussions focus on tensor algebra and analysis, concept of a differentiable manifold, geometry of a space with affine connection, intrinsic geometry of surfaces, curvature of surfaces, and surfaces and curves on surfaces. The manuscript then examines further development and applications of Riemannian geometry and selections from differential geometry in the large, including curves and surfaces in the large, spaces of constant curvature and non-Euclidean geometry, Riemannian spaces and analytical dynamics, and metric differential geometry and characterizations of Riemannian geometry. The publication elaborates on prerequisite theorems of analysis, as well as the existence and uniqueness theorem for ordinary first-order differential equations and systems of equations and integrability theory for systems of first-order partial differential equations. The book is a valuable reference for researchers interested in differential and Riemannian geometry.

Author: Marie Louise Barker
Publisher:
ISBN:
Category : German language
Languages : en
Pages : 212

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Author: S. H. Gould
Publisher: Courier Corporation
ISBN: 0486165809
Category : Science
Languages : en
Pages : 210

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Purely mathematical treatment offers simple exposition of general theory of variational methods with special reference to the vibrating plate. No math beyond basic calculus. Includes exercises. 1957 edition.

Author: Yu.V. Egorov
Publisher: Springer Science & Business Media
ISBN: 3642580939
Category : Mathematics
Languages : en
Pages : 264

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From the reviews: "...I think the volume is a great success ... a welcome addition to the literature ..." The Mathematical Intelligencer, 1993 "... It is comparable in scope with the great Courant-Hilbert Methods of Mathematical Physics, but it is much shorter, more up to date of course, and contains more elaborate analytical machinery...." The Mathematical Gazette, 1993

Author: Garrigue & Christern
Publisher:
ISBN:
Category : German literature
Languages : en
Pages : 470

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