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Lectures On The Theory Of Plane Curves
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Book Synopsis Lectures on the Theory of Plane Curves by : Surendramohan Ganguli
Download or read book Lectures on the Theory of Plane Curves written by Surendramohan Ganguli and published by . This book was released on 1919 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis LECTURES ON THE THEORY OF PLAN by : Surendramohan Ganguli
Download or read book LECTURES ON THE THEORY OF PLAN written by Surendramohan Ganguli and published by . This book was released on 2016-08-29 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Lectures on the Theory of Plane Curves; Delivered to Post-Graduate Students in the University of Calcutta by : Surendramohan Ganguli
Download or read book Lectures on the Theory of Plane Curves; Delivered to Post-Graduate Students in the University of Calcutta written by Surendramohan Ganguli and published by Hardpress Publishing. This book was released on 2012-08-01 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unlike 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.
Book Synopsis Singularities of Plane Curves by : Eduardo Casas-Alvero
Download or read book Singularities of Plane Curves written by Eduardo Casas-Alvero and published by Cambridge University Press. This book was released on 2000-08-31 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive and self-contained exposition of singularities of plane curves, including new, previously unpublished results.
Book Synopsis Plane Algebraic Curves by : Harold Hilton
Download or read book Plane Algebraic Curves written by Harold Hilton and published by . This book was released on 1920 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Lectures on Classical Differential Geometry by : Dirk Jan Struik
Download or read book Lectures on Classical Differential Geometry written by Dirk Jan Struik and published by Courier Corporation. This book was released on 1961-01-01 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis A Treatise on Algebraic Plane Curves by : Julian Lowell Coolidge
Download or read book A Treatise on Algebraic Plane Curves written by Julian Lowell Coolidge and published by Courier Corporation. This book was released on 2004-01-01 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thorough introduction to the theory of algebraic plane curves and their relations to various fields of geometry and analysis. Almost entirely confined to the properties of the general curve, and chiefly employs algebraic procedure. Geometric methods are much employed, however, especially those involving the projective geometry of hyperspace. 1931 edition. 17 illustrations.
Book Synopsis Topological Invariants of Plane Curves and Caustics by : Vladimir Igorevich Arnolʹd
Download or read book Topological Invariants of Plane Curves and Caustics written by Vladimir Igorevich Arnolʹd and published by American Mathematical Soc.. This book was released on 1994 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes recent progress in the topological study of plane curves. The theory of plane curves is much richer than knot theory, which may be considered the commutative version of the theory of plane curves. This study is based on singularity theory: the infinite-dimensional space of curves is subdivided by the discriminant hypersurfaces into parts consisting of generic curves of the same type. The invariants distinguishing the types are defined by their jumps at the crossings of these hypersurfaces. Arnold describes applications to the geometry of caustics and of wavefronts in symplectic and contact geometry. These applications extend the classical four-vertex theorem of elementary plane geometry to estimates on the minimal number of cusps necessary for the reversion of a wavefront and to generalizations of the last geometrical theorem of Jacobi on conjugated points on convex surfaces. These estimates open a new chapter in symplectic and contact topology: the theory of Lagrangian and Legendrian collapses, providing an unusual and far-reaching higher-dimensional extension of Sturm theory of the oscillations of linear combinations of eigenfunctions.
Book Synopsis The London, Edinburgh and Dublin Philosophical Magazine and Journal of Science by :
Download or read book The London, Edinburgh and Dublin Philosophical Magazine and Journal of Science written by and published by . This book was released on 1920 with total page 886 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Philosophical Magazine written by and published by . This book was released on 1920 with total page 942 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis London, Edinburgh and Dublin Philosophical Magazine and Journal of Science by :
Download or read book London, Edinburgh and Dublin Philosophical Magazine and Journal of Science written by and published by . This book was released on 1920 with total page 888 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Lectures on Classical Differential Geometry by : Dirk J. Struik
Download or read book Lectures on Classical Differential Geometry written by Dirk J. Struik and published by Courier Corporation. This book was released on 2012-04-26 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Three-dimensional Link Theory and Invariants of Plane Curve Singularities by : David Eisenbud
Download or read book Three-dimensional Link Theory and Invariants of Plane Curve Singularities written by David Eisenbud and published by Princeton University Press. This book was released on 1985 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a new foundation for the theory of links in 3-space modeled on the modern developmentby Jaco, Shalen, Johannson, Thurston et al. of the theory of 3-manifolds. The basic construction is a method of obtaining any link by "splicing" links of the simplest kinds, namely those whose exteriors are Seifert fibered or hyperbolic. This approach to link theory is particularly attractive since most invariants of links are additive under splicing. Specially distinguished from this viewpoint is the class of links, none of whose splice components is hyperbolic. It includes all links constructed by cabling and connected sums, in particular all links of singularities of complex plane curves. One of the main contributions of this monograph is the calculation of invariants of these classes of links, such as the Alexander polynomials, monodromy, and Seifert forms.
Book Synopsis The Theory of Plane Curves by : Surendramohan Ganguli
Download or read book The Theory of Plane Curves written by Surendramohan Ganguli and published by . This book was released on 1925 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Science Progress written by and published by . This book was released on 1921 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Theory of Plane Curves by : Surendramohan Ganguli
Download or read book The Theory of Plane Curves written by Surendramohan Ganguli and published by . This book was released on 1925 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction to Plane Algebraic Curves by : Ernst Kunz
Download or read book Introduction to Plane Algebraic Curves written by Ernst Kunz and published by Springer Science & Business Media. This book was released on 2007-06-10 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: * Employs proven conception of teaching topics in commutative algebra through a focus on their applications to algebraic geometry, a significant departure from other works on plane algebraic curves in which the topological-analytic aspects are stressed *Requires only a basic knowledge of algebra, with all necessary algebraic facts collected into several appendices * Studies algebraic curves over an algebraically closed field K and those of prime characteristic, which can be applied to coding theory and cryptography * Covers filtered algebras, the associated graded rings and Rees rings to deduce basic facts about intersection theory of plane curves, applications of which are standard tools of computer algebra * Examples, exercises, figures and suggestions for further study round out this fairly self-contained textbook