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Author: Bernhard Riemann
Publisher: Courier Dover Publications
Published: 2017-08-15
Total Pages: 707
ISBN-13: 048681243X
DOWNLOAD EBOOKPrinted in the original German, this highly prized, unabridged text of the complete works of the legendary mathematician includes 31 monographs, three complete lecture courses, and 15 miscellaneous papers.
Author: Bernhard Riemann
Publisher:
Published: 1953
Total Pages: 712
ISBN-13:
DOWNLOAD EBOOKAuthor: Detlef Laugwitz
Publisher: Springer Science & Business Media
Published: 2009-06-08
Total Pages: 372
ISBN-13: 0817647775
DOWNLOAD EBOOKThe 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.
Author: June Barrow-Green
Publisher: American Mathematical Society
Published: 2022-12-23
Total Pages: 703
ISBN-13: 1470472996
DOWNLOAD EBOOKThe History of Mathematics: A Source-Based Approach is a comprehensive history of the development of mathematics. This, the second volume of a two-volume set, takes the reader from the invention of the calculus to the beginning of the twentieth century. The initial discoverers of calculus are given thorough investigation, and special attention is also paid to Newton's Principia. The eighteenth century is presented as primarily a period of the development of calculus, particularly in differential equations and applications of mathematics. Mathematics blossomed in the nineteenth century and the book explores progress in geometry, analysis, foundations, algebra, and applied mathematics, especially celestial mechanics. The approach throughout is markedly historiographic: How do we know what we know? How do we read the original documents? What are the institutions supporting mathematics? Who are the people of mathematics? The reader learns not only the history of mathematics, but also how to think like a historian. The two-volume set was designed as a textbook for the authors' acclaimed year-long course at the Open University. It is, in addition to being an innovative and insightful textbook, an invaluable resource for students and scholars of the history of mathematics. The authors, each among the most distinguished mathematical historians in the world, have produced over fifty books and earned scholarly and expository prizes from the major mathematical societies of the English-speaking world.
Author: Abe Shenitzer
Publisher: American Mathematical Soc.
Published: 2020-08-03
Total Pages: 319
ISBN-13: 1470457393
DOWNLOAD EBOOKAuthor: Bernhard Riemann
Publisher: Hardpress Publishing
Published: 2013-12
Total Pages: 554
ISBN-13: 9781314899610
DOWNLOAD EBOOKUnlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavoured to keep the quality of these images, so they represent accurately the original artefact. Although occasionally there may be certain imperfections with these old texts, we feel they deserve to be made available for future generations to enjoy.
Author: Parvaneh Joharinad
Publisher: Springer Nature
Published: 2023-07-29
Total Pages: 287
ISBN-13: 303133440X
DOWNLOAD EBOOKThis book explores and demonstrates how geometric tools can be used in data analysis. Beginning with a systematic exposition of the mathematical prerequisites, covering topics ranging from category theory to algebraic topology, Riemannian geometry, operator theory and network analysis, it goes on to describe and analyze some of the most important machine learning techniques for dimension reduction, including the different types of manifold learning and kernel methods. It also develops a new notion of curvature of generalized metric spaces, based on the notion of hyperconvexity, which can be used for the topological representation of geometric information. In recent years there has been a fascinating development: concepts and methods originally created in the context of research in pure mathematics, and in particular in geometry, have become powerful tools in machine learning for the analysis of data. The underlying reason for this is that data are typically equipped with some kind of notion of distance, quantifying the differences between data points. Of course, to be successfully applied, the geometric tools usually need to be redefined, generalized, or extended appropriately. Primarily aimed at mathematicians seeking an overview of the geometric concepts and methods that are useful for data analysis, the book will also be of interest to researchers in machine learning and data analysis who want to see a systematic mathematical foundation of the methods that they use.
Author: Anatoly Kochubei
Publisher: Walter de Gruyter GmbH & Co KG
Published: 2019-02-19
Total Pages: 490
ISBN-13: 3110571625
DOWNLOAD EBOOKThis multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This first volume collects authoritative chapters covering the mathematical theory of fractional calculus, including fractional-order operators, integral transforms and equations, special functions, calculus of variations, and probabilistic and other aspects.
Author: Bart Van Kerkhove
Publisher: World Scientific
Published: 2009
Total Pages: 248
ISBN-13: 9812812237
DOWNLOAD EBOOKThis volume focuses on the importance of historical enquiry for the appreciation of philosophical problems concerning mathematics. It contains a well-balanced mixture of contributions by internationally established experts, such as Jeremy Gray and Jens Hoyrup; upcoming scholars, such as Erich Reck and Dirk Schlimm; and young, promising researchers at the beginning of their careers. The book is situated within a relatively new and broadly naturalistic tradition in the philosophy of mathematics. In this alternative philosophical current, which has been dramatically growing in importance in the last few decades, unlike in the traditional schools, proper attention is paid to scientific practices as informing for philosophical accounts.
Author: Richard Herrmann
Publisher: World Scientific
Published: 2011
Total Pages: 274
ISBN-13: 9814340243
DOWNLOAD EBOOKFractional calculus is undergoing rapidly and ongoing development. We can already recognize, that within its framework new concepts and strategies emerge, which lead to new challenging insights and surprising correlations between different branches of physics. This book is an invitation both to the interested student and the professional researcher. It presents a thorough introduction to the basics of fractional calculus and guides the reader directly to the current state-of-the-art physical interpretation. It is also devoted to the application of fractional calculus on physical problems, in the subjects of classical mechanics, friction, damping, oscillations, group theory, quantum mechanics, nuclear physics, and hadron spectroscopy up to quantum field theory.
