Download or read book The Cambridge Colloquium 1916 Analysis situs by O Veblen written by American Mathematical Society. Colloquium and published by . This book was released on 1922 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Cambridge Colloquium 1916 written by American Mathematical Society. Colloquium and published by . This book was released on 1918 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Cambridge Colloquium Functionals and their applications selected topics including integral equations by G C Evans pt 2 Analysis situs by O Veblen written by American Mathematical Society. Colloquium and published by . This book was released on 1918 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Cambridge Colloquium written by Griffith Conrad Evans and published by American Mathematical Soc.. This book was released on 1918-12-31 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 1916 colloquium of the American Mathematical Society was held as part of the summer meeting that took place in Boston. Two sets of lectures were presented: Functionals and their Applications. Selected Topics, including Integral Equations, by G. C. Evans, and Analysis Situs, by Oswald Veblen. The lectures by Evans are devoted to functionals and their applications. By a functional the author means a function on an infinite-dimensional space, usually a space of functions, or of curves on the plane or in 3-space, etc. The first lecture deals with general considerations of functionals (continuity, derivatives, variational equations, etc.). The main topic of the second lecture is the study of complex-valued functionals, such as integrals of complex functions in several variables. The third lecture is devoted to the study of what is called implicit functional equations. This study requires, in particular, the development of the notion of a Frechet differential, which is also discussed in this lecture. The fourth lecture contains generalizations of the Bocher approach to the treatment of the Laplace equation, where a harmonic function is characterized as a function with no flux (Evans' terminology) through every circle on the plane. Finally, the fifth lecture gives an account of various generalizations of the theory of integral equations. Analysis situs is the name used by Poincare when he was creating, at the end of the 19th century, the area of mathematics known today as topology. Veblen's lectures, forming the second part of the book, contain what is probably the first text where Poincare's results and ideas were summarized, and an attempt to systematically present this difficult new area of mathematics was made. This is how S. Lefschetz had described, in his 1924 review of the book, the experience of ``a beginner attracted by the fascinating and difficult field of analysis situs'': ``Difficult reasonings beset him at every step, an unfriendly notation did not help matters, to all of which must be added, most baffling of all, the breakdown of geometric intuition precisely when most needed. No royal road can be created through this dense forest, but a good and thoroughgoing treatment of fundamentals, notation, terminology, may smooth the path somewhat. And this and much more we find supplied by Veblen's Lectures.'' Of the two streams of topology existing at that time, point set topology and combinatorial topology, it is the latter to which Veblen's book is almost totally devoted. The first four chapters present, in detail, the notion and properties (introduced by Poincare) of the incidence matrix of a cell decomposition of a manifold. The main goal of the author is to show how to reproduce main topological invariants of a manifold and their relations in terms of the incidence matrix. The (last) fifth chapter contains what Lefschetz called ``an excellent summary of several important questions: homotopy and isotopy, theory of the indicatrix, a fairly ample treatment of the group of a manifold, finally a bird's eye view of what is known and not known (mostly the latter) on three dimensional manifolds.''
Download or read book The Cambridge Colloquium 1916 Part One written by Griffith Conrad Evans and published by Merchant Books. This book was released on 2008-03-01 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Unabridged Printing, With Text And All Figures Digitally Enlarged - Part One Of Two: Functionals And Their Applications, And Selected Topics Including Integral Equations. Included At The End Of The Book Is The Author's Preface And Table Of Contents From The Cambridge Colloquium, Part Two, ANALYSIS SITUS, By Oswald Veblen.
Download or read book The Cambridge Colloquium written by and published by . This book was released on 1922 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Cambridge Colloquium 1916 written by Oswald Veblen and published by . This book was released on 1922 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Digital Geometry written by Reinhard Klette and published by Morgan Kaufmann. This book was released on 2004-08-06 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first book on digital geometry by the leaders in the field.
Download or read book Catalog of the Library written by American Mathematical Society and published by . This book was released on 1925 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Acta mathematica written by and published by . This book was released on 1922 with total page 856 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nature written by Sir Norman Lockyer and published by . This book was released on 1922 with total page 932 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Bulletin of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1917 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Catalogue of the Library written by American Mathematical Society and published by . This book was released on 1925 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Graphs and Networks written by S. R. Kingan and published by John Wiley & Sons. This book was released on 2022-04-28 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graphs and Networks A unique blend of graph theory and network science for mathematicians and data science professionals alike. Featuring topics such as minors, connectomes, trees, distance, spectral graph theory, similarity, centrality, small-world networks, scale-free networks, graph algorithms, Eulerian circuits, Hamiltonian cycles, coloring, higher connectivity, planar graphs, flows, matchings, and coverings, Graphs and Networks contains modern applications for graph theorists and a host of useful theorems for network scientists. The book begins with applications to biology and the social and political sciences and gradually takes a more theoretical direction toward graph structure theory and combinatorial optimization. A background in linear algebra, probability, and statistics provides the proper frame of reference. Graphs and Networks also features: Applications to neuroscience, climate science, and the social and political sciences A research outlook integrated directly into the narrative with ideas for students interested in pursuing research projects at all levels A large selection of primary and secondary sources for further reading Historical notes that hint at the passion and excitement behind the discoveries Practice problems that reinforce the concepts and encourage further investigation and independent work
Download or read book Bulletin new Series of the American Mathematical Society written by and published by . This book was released on 1917 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Duality in 19th and 20th Century Mathematical Thinking written by Ralf Krömer and published by Springer Nature. This book was released on 2024 with total page 962 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume brings together scholars across various domains of the history and philosophy of mathematics, investigating duality as a multi-faceted phenomenon. Encompassing both systematic analysis and historical examination, the book endeavors to elucidate the status, roles, and dynamics of duality within the realms of 19th and 20th-century mathematics. Eschewing a priori notions, the contributors embrace the diverse interpretations and manifestations of duality, thus presenting a nuanced and comprehensive perspective on this intricate subject. Spanning a broad spectrum of mathematical topics and historical periods, the book uses detailed case studies to investigate the different forms in which duality appeared and still appears in mathematics, to study their respective histories, and to analyze interactions between the different forms of duality. The chapters inquire into questions such as the contextual occurrences of duality in mathematics, the influence of chosen forms of representation, the impact of investigations of duality on mathematical practices, and the historical interconnections among various instances of duality. Together, they aim to answer a core question: Is there such a thing as duality in mathematics, or are there just several things called by the same name and similar in some respect? What emerges is that duality can be considered as a basic structure of mathematical thinking, thereby opening new horizons for the research on the history and the philosophy of mathematics and the reflection on mathematics in general. The volume will appeal not only to experts in the discipline but also to advanced students of mathematics, history, and philosophy intrigued by the complexities of this captivating subject matter.
Download or read book The Cambridge Colloquium 1916 written by Oswald Veblen and published by . This book was released on 1922 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt:
