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Carbohydrate Analysis by Modern Chromatography and Electrophoresis (Journal of Chromatography Library)
Ziad El-Rassi Manufacturer: Elsevier Science ProductGroup: Book Binding: Hardcover ASIN: 0444500618 |
Book Description
This book is an updated and expanded edition of Carbohydrate Analysis, High Performance Liquid Chromatography and Capillary Electrophoresis and is concerned with the analysis of carbohydrates by modern chromatography and electrophoresis including analytical and preparative high performance liquid chromatography (HPLC), thin layer chromatography (TLC), field flow fractionation (FFF), capillary electrophoresis (CE), capillary electrochromatography (CEC), polyacrylamide gel electrophoresis (PAGE), gas chromatography (GC) and supercritical fluid chromatography (SFC).
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Carbohydrate Analysis by Modern Chromatography and Electrophoresis (Journal of Chromatography Library)
Ziad El-Rassi Manufacturer: NY ProductGroup: Book Binding: Hardcover ASIN: B000MUA2FG |
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Complex Algebraic Curves (London Mathematical Society Student Texts)
Frances Kirwan Manufacturer: Cambridge University Press ProductGroup: Book Binding: Paperback Similar Items:
ASIN: 0521423538 |
Book Description
This development of the theory of complex algebraic curves was one of the peaks of nineteenth century mathematics. They have many fascinating properties and arise in various areas of mathematics, from number theory to theoretical physics, and are the subject of much research. By using only the basic techniques acquired in most undergraduate courses in mathematics, Dr. Kirwan introduces the theory, observes the algebraic and topological properties of complex algebraic curves, and shows how they are related to complex analysis.Customer Reviews:
A very nice little book.......2003-05-14
Incidentally, the author is a very attractive woman.
Well suited as an introduction to algebraic curves.......2001-03-15
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Arithmetic Theory of Elliptic Curves: Lectures given at the 3rd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.)held in Cetaro, Italy, ... Mathematics / Fondazione C.I.M.E., Firenze)
J. Coates , R. Greenberg , K.A. Ribet , and K. Rubin Manufacturer: Springer ProductGroup: Book Binding: Paperback Similar Items: ASIN: 3540665463 |
Book Description
This volume contains the expanded versions of the lectures given by the authors at the C.I.M.E. instructional conference held in Cetraro, Italy, from July 12 to 19, 1997. The papers collected here are broad surveys of the current research in the arithmetic of elliptic curves, and also contain several new results which cannot be found elsewhere in the literature. Owing to clarity and elegance of exposition, and to the background material explicitly included in the text or quoted in the references, the volume is well suited to research students as well as to senior mathematicians.
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Introduction to Singularities and Deformations (Springer Monographs in Mathematics)
G.-M. Greuel , C. Lossen , and E. Shustin Manufacturer: Springer ProductGroup: Book Binding: Hardcover ASIN: 3540283803 |
Book Description
Singularity theory is a field of intensive study in modern mathematics with fascinating relations to algebraic geometry, complex analysis, commutative algebra, representation theory, theory of Lie groups, topology, dynamical systems, and many more, and with numerous applications in the natural and technical sciences.
This book presents the basic singularity theory of analytic spaces, including local deformation theory, and the theory of plane curve singularities. Plane curve singularities are a classical object of study, rich of ideas and applications, which still is in the center of current research and as such provides an ideal introduction to the general theory. Deformation theory is an important technique in many branches of contemporary algebraic geometry and complex analysis. This introductory text provides the general framework of the theory while still remaining concrete.
In the first part of the book the authors develop the relevant techniques, including the Weierstraß preparation theorem, the finite coherence theorem etc., and then treat isolated hypersurface singularities, notably the finite determinacy, classification of simple singularities and topological and analytic invariants. In local deformation theory, emphasis is laid on the issues of versality, obstructions, and equisingular deformations. The book moreover contains a new treatment of equisingular deformations of plane curve singularities including a proof for the smoothness of the mu-constant stratum which is based on deformations of the parameterization. Computational aspects of the theory are discussed as well. Three appendices, including basic facts from sheaf theory, commutative algebra, and formal deformation theory, make the reading self-contained.
The material, which can be found partly in other books and partly in research articles, is presented from a unified point of view for the first time. It is given with complete proofs, new in many cases. The book thus can serve as source for special courses in singularity theory and local algebraic and analytic geometry.
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A Scrapbook of Complex Curve Theory (Graduate Studies in Mathematics, V. 55)
C. Herbert Clemens Manufacturer: American Mathematical Society ProductGroup: Book Binding: Hardcover Similar Items:
ASIN: 0821833073 |
Book Description
This fine book by Herb Clemens quickly became a favorite of many complex algebraic geometers when it was first published in 1980. It has been popular with novices and experts ever since. It is written as a book of "impressions" of a journey through the theory of complex algebraic curves. Many topics of compelling beauty occur along the way. A cursory glance at the subjects visited reveals an apparently eclectic selection, from conics and cubics to theta functions, Jacobians, and questions of moduli. By the end of the book, the theme of theta functions becomes clear, culminating in the Schottky problem.The author's intent was to motivate further study and to stimulate mathematical activity. The attentive reader will learn much about complex algebraic curves and the tools used to study them. The book can be especially useful to anyone preparing a course on the topic of complex curves or anyone interested in supplementing his/her reading.
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Algebraic Curves, Algebraic Manifolds and Schemes (Encyclopaedia of Mathematical Sciences, 23)
V.I. Danilov , and V.V. Shokurov Manufacturer: Springer ProductGroup: Book Binding: Paperback Similar Items: ASIN: 3540637052 |
Book Description
From the reviews: "This volume... consists of two papers. The first, written by V.V. Shokurov, is devoted to the theory of Riemann surfaces and algebraic curves. It is an excellent overview of the theory of relations between Riemann surfaces and their models - complex algebraic curves in complex projective spaces. ... The second paper, written by V.I. Danilov, discusses algebraic varieties and schemes. ... I can recommend the book as a very good introduction to the basic algebraic geometry." European Mathematical Society Newsletter, 1996
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Algebraic Geometry III: Complex Algebraic Varieties. Algebraic Curves and Their Jacobians (Encyclopaedia of Mathematical Sciences)
Manufacturer: Springer ProductGroup: Book Binding: Hardcover ASIN: 3540546812 |
Book Description
The first contribution of this EMS volume on complex algebraic geometry touches upon many of the central problems in this vast and very active area of current research. While it is much too short to provide complete coverage of this subject, it provides a succinct summary of the areas it covers, while providing in-depth coverage of certain very important fields.The second part provides a brief and lucid introduction to the recent work on the interactions between the classical area of the geometry of complex algebraic curves and their Jacobian varieties, and partial differential equations of mathematical physics. The paper discusses the work of Mumford, Novikov, Krichever, and Shiota, and would be an excellent companion to the older classics on the subject.
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The Ball and Some Hilbert Problems (Lectures in Mathematics. ETH Zürich)
Rolf-Peter Holzapfel Manufacturer: Birkhäuser Basel ProductGroup: Book Binding: Paperback ASIN: 3764328355 |
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Higher Initial Ideals of Homogeneous Ideals (Memoirs of the American Mathematical Society)
Gunnar Floystad Manufacturer: American Mathematical Society ProductGroup: Book Binding: Paperback ASIN: 0821808532 |
Book Description
Given a homogeneous ideal $I$ and a monomial order, one may form the initial ideal $\textnormal{in}(I)$. The initial ideal gives information about $I$, for instance $I$ and $\textnormal{in}(I)$ have the same Hilbert function. However, if $\mathcal I$ is the sheafification of $I$ one cannot read the higher cohomological dimensions $h^i({\mathbf P}^n, \mathcal I(\nu))$ from $\textnormal{in}(I)$. This work remedies this by defining a series of higher initial ideals $\textnormal{ in}_s(I)$ for $s\geq0$. Each cohomological dimension $h^i({\mathbf P}^n, \mathcal I(\nu))$ may be read from the $\textnormal{in}_s(I)$. The $\textnormal{in}_s(I)$ are however more refined invariants and contain considerably more information about the ideal $I$.This work considers in particular the case where $I$ is the homogeneous ideal of a curve in ${\mathbf P}^3$ and the monomial order is reverse lexicographic. Then the ordinary initial ideal $\textnormal{in}_0(I)$ and the higher initial ideal $\textnormal{in}_1(I)$ have very simple representations in the form of plane diagrams.
Features:
enables one to visualize cohomology of projective schemes in ${\mathbf P}^n$
provides an algebraic approach to studying projective schemes
gives structures which are generalizations of initial ideals
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Iwasawa Theory Elliptic Curves with Complex Multiplication: P-Adic L Functions (Perspectives in Mathematics, Vol 3)
Ehud De Shalit Manufacturer: Academic Press ProductGroup: Book Binding: Hardcover ASIN: 012210255X |
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Many Rational Points: Coding Theory and Algebraic Geometry (Mathematics and Its Applications)
N.E. Hurt Manufacturer: Springer ProductGroup: Book Binding: Hardcover ASIN: 1402017669 |
Book Description
This monograph presents a comprehensive treatment of recent results on algebraic geometry as they apply to coding theory and cryptography, with the goal the study of algebraic curves and varieties with many rational points. They book surveys recent developments on abelian varieties, in particular the classification of abelian surfaces, hyperelliptic curves, modular towers, Kloosterman curves and codes, Shimura curves and modular jacobian surfaces. Applications of abelian varieties to cryptography are presented including a discussion of hyperelliptic curve cryptosystems. The inter-relationship of codes and curves is developed building on Goppa's results on algebraic-geometry cods. The volume provides a source book of examples with relationships to advanced topics regarding Sato-Tate conjectures, Eichler-Selberg trace formula, Katz-Sarnak conjectures and Hecke operators.Books:
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