Algebra Arithmetic And Geometry With Applications
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Algebra Arithmetic And Geometry With Applications
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Author : Chris Christensen
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-06-27
Algebra Arithmetic And Geometry With Applications written by Chris Christensen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-27 with Mathematics categories.
Proceedings of the Conference on Algebra and Algebraic Geometry with Applications, July 19 – 26, 2000, at Purdue University to honor Professor Shreeram S. Abhyankar on the occasion of his seventieth birthday. Eighty-five of Professor Abhyankar's students, collaborators, and colleagues were invited participants. Sixty participants presented papers related to Professor Abhyankar's broad areas of mathematical interest. Sessions were held on algebraic geometry, singularities, group theory, Galois theory, combinatorics, Drinfield modules, affine geometry, and the Jacobian problem. This volume offers an outstanding collection of papers by expert authors.
Algebra Arithmetic And Geometry With Applications
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Author : Chris Christensen
language : en
Publisher:
Release Date : 1994
Algebra Arithmetic And Geometry With Applications written by Chris Christensen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with categories.
Basic Math Algebra And Geometry With Applications
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Author : Cheryl S. Cleaves
language : en
Publisher: Prentice Hall
Release Date : 2003-07-24
Basic Math Algebra And Geometry With Applications written by Cheryl S. Cleaves and has been published by Prentice Hall this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-24 with Mathematics categories.
"Basic Math, Algebra and Geometry with Applications" provides a spiral approach to developing concepts that enables readers to become familiar with concepts and computations before being asked to progress to the more abstract concept using variables as bases and other types of numbers as exponents. The clear concise language makes it easy to read and examples have line-by-line explanatory comments for each step of the example so readers can easily follow the steps illustrated. The volume provides detailed explanations of whole numbers and decimals, integers, fractions, percents, measurement, area, perimeter, and volume, interpreting and analyzing data, linear equations, powers and polynomials, roots and radicals, formulas and applications, quadratic and higher-degree equations, exponential and logarithmic equations, graphing functions and slope and distance. For nurses, dietitians, job trainers, home schooling professionals and more.
Arithmetic Algebraic Geometry
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Author : G., van der Geer
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Arithmetic Algebraic Geometry written by G., van der Geer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Arithmetic algebraic geometry is in a fascinating stage of growth, providing a rich variety of applications of new tools to both old and new problems. Representative of these recent developments is the notion of Arakelov geometry, a way of "completing" a variety over the ring of integers of a number field by adding fibres over the Archimedean places. Another is the appearance of the relations between arithmetic geometry and Nevanlinna theory, or more precisely between diophantine approximation theory and the value distribution theory of holomorphic maps. Research mathematicians and graduate students in algebraic geometry and number theory will find a valuable and lively view of the field in this state-of-the-art selection.
Arithmetic Geometry Computation And Applications
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Author : Yves Aubry
language : en
Publisher: American Mathematical Soc.
Release Date : 2019-01-11
Arithmetic Geometry Computation And Applications written by Yves Aubry and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-11 with Coding theory categories.
For thirty years, the biennial international conference AGC T (Arithmetic, Geometry, Cryptography, and Coding Theory) has brought researchers to Marseille to build connections between arithmetic geometry and its applications, originally highlighting coding theory but more recently including cryptography and other areas as well. This volume contains the proceedings of the 16th international conference, held from June 19–23, 2017. The papers are original research articles covering a large range of topics, including weight enumerators for codes, function field analogs of the Brauer–Siegel theorem, the computation of cohomological invariants of curves, the trace distributions of algebraic groups, and applications of the computation of zeta functions of curves. Despite the varied topics, the papers share a common thread: the beautiful interplay between abstract theory and explicit results.
Practical Mathematics
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Author : Claude Irwin Palmer
language : en
Publisher:
Release Date : 1949
Practical Mathematics written by Claude Irwin Palmer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1949 with Arithmetic categories.
Algebraic K Theory And Its Geometric Applications
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Author : Robert M.F. Moss
language : en
Publisher: Springer
Release Date : 2006-11-15
Algebraic K Theory And Its Geometric Applications written by Robert M.F. Moss and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Arakelov Geometry And Diophantine Applications
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Author : Emmanuel Peyre
language : en
Publisher: Springer Nature
Release Date : 2021-03-10
Arakelov Geometry And Diophantine Applications written by Emmanuel Peyre and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-10 with Mathematics categories.
Bridging the gap between novice and expert, the aim of this book is to present in a self-contained way a number of striking examples of current diophantine problems to which Arakelov geometry has been or may be applied. Arakelov geometry can be seen as a link between algebraic geometry and diophantine geometry. Based on lectures from a summer school for graduate students, this volume consists of 12 different chapters, each written by a different author. The first chapters provide some background and introduction to the subject. These are followed by a presentation of different applications to arithmetic geometry. The final part describes the recent application of Arakelov geometry to Shimura varieties and the proof of an averaged version of Colmez's conjecture. This book thus blends initiation to fundamental tools of Arakelov geometry with original material corresponding to current research. This book will be particularly useful for graduate students and researchers interested in the connections between algebraic geometry and number theory. The prerequisites are some knowledge of number theory and algebraic geometry.
Algebraic Geometry And Arithmetic Curves
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Author : Qing Liu
language : en
Publisher: Oxford University Press
Release Date : 2006-06-29
Algebraic Geometry And Arithmetic Curves written by Qing Liu and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-06-29 with Mathematics categories.
This book is a general introduction to the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves. The first part introduces basic objects such as schemes, morphisms, base change, local properties (normality, regularity, Zariski's Main Theorem). This is followed by the more global aspect: coherent sheaves and a finiteness theorem for their cohomology groups. Then follows a chapter on sheaves of differentials, dualizing sheaves, and Grothendieck's duality theory. The first part ends with the theorem of Riemann-Roch and its application to the study of smooth projective curves over a field. Singular curves are treated through a detailed study of the Picard group. The second part starts with blowing-ups and desingularisation (embedded or not) of fibered surfaces over a Dedekind ring that leads on to intersection theory on arithmetic surfaces. Castelnuovo's criterion is proved and also the existence of the minimal regular model. This leads to the study of reduction of algebraic curves. The case of elliptic curves is studied in detail. The book concludes with the funadmental theorem of stable reduction of Deligne-Mumford. The book is essentially self-contained, including the necessary material on commutative algebra. The prerequisites are therefore few, and the book should suit a graduate student. It contains many examples and nearly 600 exercises.
Algorithms In Algebraic Geometry And Applications
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Author : Laureano Gonzalez-Vega
language : en
Publisher:
Release Date : 1996-06-01
Algorithms In Algebraic Geometry And Applications written by Laureano Gonzalez-Vega and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-06-01 with categories.