Arithmetic Geometry: Computation and Applications

Download Arithmetic Geometry: Computation and Applications PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 1470442124
Total Pages : 186 pages
Book Rating : 4.4/5 (74 download)

DOWNLOAD NOW!


Book Synopsis Arithmetic Geometry: Computation and Applications by : Yves Aubry

Download or read book Arithmetic Geometry: Computation and Applications written by Yves Aubry and published by American Mathematical Soc.. This book was released on 2019-01-11 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematics and Computation

Download Mathematics and Computation PDF Online Free

Author :
Publisher : Princeton University Press
ISBN 13 : 0691189137
Total Pages : 434 pages
Book Rating : 4.6/5 (911 download)

DOWNLOAD NOW!


Book Synopsis Mathematics and Computation by : Avi Wigderson

Download or read book Mathematics and Computation written by Avi Wigderson and published by Princeton University Press. This book was released on 2019-10-29 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the winner of the Turing Award and the Abel Prize, an introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field’s insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society. For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields. Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyond High-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific discipline Historical accounts of the evolution and motivations of central concepts and models A broad view of the theory of computation's influence on science, technology, and society Extensive bibliography

Modular Forms and Fermat’s Last Theorem

Download Modular Forms and Fermat’s Last Theorem PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1461219744
Total Pages : 592 pages
Book Rating : 4.4/5 (612 download)

DOWNLOAD NOW!


Book Synopsis Modular Forms and Fermat’s Last Theorem by : Gary Cornell

Download or read book Modular Forms and Fermat’s Last Theorem written by Gary Cornell and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the expanded lectures given at a conference on number theory and arithmetic geometry held at Boston University. It introduces and explains the many ideas and techniques used by Wiles, and to explain how his result can be combined with Ribets theorem and ideas of Frey and Serre to prove Fermats Last Theorem. The book begins with an overview of the complete proof, followed by several introductory chapters surveying the basic theory of elliptic curves, modular functions and curves, Galois cohomology, and finite group schemes. Representation theory, which lies at the core of the proof, is dealt with in a chapter on automorphic representations and the Langlands-Tunnell theorem, and this is followed by in-depth discussions of Serres conjectures, Galois deformations, universal deformation rings, Hecke algebras, and complete intersections. The book concludes by looking both forward and backward, reflecting on the history of the problem, while placing Wiles'theorem into a more general Diophantine context suggesting future applications. Students and professional mathematicians alike will find this an indispensable resource.

Computational Geometry

Download Computational Geometry PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1461210984
Total Pages : 413 pages
Book Rating : 4.4/5 (612 download)

DOWNLOAD NOW!


Book Synopsis Computational Geometry by : Franco P. Preparata

Download or read book Computational Geometry written by Franco P. Preparata and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "This book offers a coherent treatment, at the graduate textbook level, of the field that has come to be known in the last decade or so as computational geometry. ... ... The book is well organized and lucidly written; a timely contribution by two founders of the field. It clearly demonstrates that computational geometry in the plane is now a fairly well-understood branch of computer science and mathematics. It also points the way to the solution of the more challenging problems in dimensions higher than two." #Mathematical Reviews#1 "... This remarkable book is a comprehensive and systematic study on research results obtained especially in the last ten years. The very clear presentation concentrates on basic ideas, fundamental combinatorial structures, and crucial algorithmic techniques. The plenty of results is clever organized following these guidelines and within the framework of some detailed case studies. A large number of figures and examples also aid the understanding of the material. Therefore, it can be highly recommended as an early graduate text but it should prove also to be essential to researchers and professionals in applied fields of computer-aided design, computer graphics, and robotics." #Biometrical Journal#2

A First Course in Computational Algebraic Geometry

Download A First Course in Computational Algebraic Geometry PDF Online Free

Author :
Publisher : Cambridge University Press
ISBN 13 : 1107612535
Total Pages : 127 pages
Book Rating : 4.1/5 (76 download)

DOWNLOAD NOW!


Book Synopsis A First Course in Computational Algebraic Geometry by : Wolfram Decker

Download or read book A First Course in Computational Algebraic Geometry written by Wolfram Decker and published by Cambridge University Press. This book was released on 2013-02-07 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: A quick guide to computing in algebraic geometry with many explicit computational examples introducing the computer algebra system Singular.

Computations in Algebraic Geometry with Macaulay 2

Download Computations in Algebraic Geometry with Macaulay 2 PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9783540422303
Total Pages : 354 pages
Book Rating : 4.4/5 (223 download)

DOWNLOAD NOW!


Book Synopsis Computations in Algebraic Geometry with Macaulay 2 by : David Eisenbud

Download or read book Computations in Algebraic Geometry with Macaulay 2 written by David Eisenbud and published by Springer Science & Business Media. This book was released on 2001-09-25 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents algorithmic tools for algebraic geometry, with experimental applications. It also introduces Macaulay 2, a computer algebra system supporting research in algebraic geometry, commutative algebra, and their applications. The algorithmic tools presented here are designed to serve readers wishing to bring such tools to bear on their own problems. The first part of the book covers Macaulay 2 using concrete applications; the second emphasizes details of the mathematics.

Arithmetic, Geometry, Cryptography and Coding Theory

Download Arithmetic, Geometry, Cryptography and Coding Theory PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 1470454262
Total Pages : 303 pages
Book Rating : 4.4/5 (74 download)

DOWNLOAD NOW!


Book Synopsis Arithmetic, Geometry, Cryptography and Coding Theory by : Stéphane Ballet

Download or read book Arithmetic, Geometry, Cryptography and Coding Theory written by Stéphane Ballet and published by American Mathematical Soc.. This book was released on 2021-07-01 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the 17th International Conference on Arithmetic, Geometry, Cryptography and Coding Theory (AGC2T-17), held from June 10–14, 2019, at the Centre International de Rencontres Mathématiques in Marseille, France. The conference was dedicated to the memory of Gilles Lachaud, one of the founding fathers of the AGC2T series. Since the first meeting in 1987 the biennial AGC2T meetings have brought together the leading experts on arithmetic and algebraic geometry, and the connections to coding theory, cryptography, and algorithmic complexity. This volume highlights important new developments in the field.

Finite Fields and Applications

Download Finite Fields and Applications PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 364256755X
Total Pages : 500 pages
Book Rating : 4.6/5 (425 download)

DOWNLOAD NOW!


Book Synopsis Finite Fields and Applications by : Dieter Jungnickel

Download or read book Finite Fields and Applications written by Dieter Jungnickel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume represents the refereed proceedings of the Fifth International Conference on Finite Fields and Applications (F q5) held at the University of Augsburg (Germany) from August 2-6, 1999, and hosted by the Department of Mathematics. The conference continued a series of biennial international conferences on finite fields, following earlier conferences at the University of Nevada at Las Vegas (USA) in August 1991 and August 1993, the University ofGlasgow (Scotland) in July 1995, and the University ofWaterloo (Canada) in August 1997. The Organizing Committee of F q5 comprised Thomas Beth (

Tensors: Geometry and Applications

Download Tensors: Geometry and Applications PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821869078
Total Pages : 464 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!


Book Synopsis Tensors: Geometry and Applications by : J. M. Landsberg

Download or read book Tensors: Geometry and Applications written by J. M. Landsberg and published by American Mathematical Soc.. This book was released on 2011-12-14 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tensors are ubiquitous in the sciences. The geometry of tensors is both a powerful tool for extracting information from data sets, and a beautiful subject in its own right. This book has three intended uses: a classroom textbook, a reference work for researchers in the sciences, and an account of classical and modern results in (aspects of) the theory that will be of interest to researchers in geometry. For classroom use, there is a modern introduction to multilinear algebra and to the geometry and representation theory needed to study tensors, including a large number of exercises. For researchers in the sciences, there is information on tensors in table format for easy reference and a summary of the state of the art in elementary language. This is the first book containing many classical results regarding tensors. Particular applications treated in the book include the complexity of matrix multiplication, P versus NP, signal processing, phylogenetics, and algebraic statistics. For geometers, there is material on secant varieties, G-varieties, spaces with finitely many orbits and how these objects arise in applications, discussions of numerous open questions in geometry arising in applications, and expositions of advanced topics such as the proof of the Alexander-Hirschowitz theorem and of the Weyman-Kempf method for computing syzygies.

Computational Number Theory

Download Computational Number Theory PDF Online Free

Author :
Publisher : CRC Press
ISBN 13 : 1482205823
Total Pages : 614 pages
Book Rating : 4.4/5 (822 download)

DOWNLOAD NOW!


Book Synopsis Computational Number Theory by : Abhijit Das

Download or read book Computational Number Theory written by Abhijit Das and published by CRC Press. This book was released on 2016-04-19 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developed from the author's popular graduate-level course, Computational Number Theory presents a complete treatment of number-theoretic algorithms. Avoiding advanced algebra, this self-contained text is designed for advanced undergraduate and beginning graduate students in engineering. It is also suitable for researchers new to the field and pract

Algebraic Geometry and Its Applications

Download Algebraic Geometry and Its Applications PDF Online Free

Author :
Publisher : World Scientific
ISBN 13 : 9812793429
Total Pages : 530 pages
Book Rating : 4.8/5 (127 download)

DOWNLOAD NOW!


Book Synopsis Algebraic Geometry and Its Applications by : Jean Chaumine

Download or read book Algebraic Geometry and Its Applications written by Jean Chaumine and published by World Scientific. This book was released on 2008 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume covers many topics, including number theory, Boolean functions, combinatorial geometry, and algorithms over finite fields. It contains many new, theoretical and applicable results, as well as surveys that were presented by the top specialists in these areas. New results include an answer to one of Serre's questions, posted in a letter to Top; cryptographic applications of the discrete logarithm problem related to elliptic curves and hyperelliptic curves; construction of function field towers; construction of new classes of Boolean cryptographic functions; and algorithmic applications of algebraic geometry.

Advances on Superelliptic Curves and Their Applications

Download Advances on Superelliptic Curves and Their Applications PDF Online Free

Author :
Publisher : IOS Press
ISBN 13 : 1614995206
Total Pages : 387 pages
Book Rating : 4.6/5 (149 download)

DOWNLOAD NOW!


Book Synopsis Advances on Superelliptic Curves and Their Applications by : L. Beshaj

Download or read book Advances on Superelliptic Curves and Their Applications written by L. Beshaj and published by IOS Press. This book was released on 2015-07-16 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book had its origins in the NATO Advanced Study Institute (ASI) held in Ohrid, Macedonia, in 2014. The focus of this ASI was the arithmetic of superelliptic curves and their application in different scientific areas, including whether all the applications of hyperelliptic curves, such as cryptography, mathematical physics, quantum computation and diophantine geometry, can be carried over to the superelliptic curves. Additional papers have been added which provide some background for readers who were not at the conference, with the intention of making the book logically more complete and easier to read, but familiarity with the basic facts of algebraic geometry, commutative algebra and number theory are assumed. The book is divided into three sections. The first part deals with superelliptic curves with regard to complex numbers, the automorphisms group and the corresponding Hurwitz loci. The second part of the book focuses on the arithmetic of the subject, while the third addresses some of the applications of superelliptic curves.

Computational Modelling of Objects Represented in Images. Fundamentals, Methods and Applications

Download Computational Modelling of Objects Represented in Images. Fundamentals, Methods and Applications PDF Online Free

Author :
Publisher : CRC Press
ISBN 13 : 1351377132
Total Pages : 481 pages
Book Rating : 4.3/5 (513 download)

DOWNLOAD NOW!


Book Synopsis Computational Modelling of Objects Represented in Images. Fundamentals, Methods and Applications by : João Manuel R.S. Tavares

Download or read book Computational Modelling of Objects Represented in Images. Fundamentals, Methods and Applications written by João Manuel R.S. Tavares and published by CRC Press. This book was released on 2018-05-08 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains keynote lectures and full papers presented at the International Symposium on Computational Modelling of Objects Represented in Images (CompIMAGE), held in Coimbra, Portugal, on 20-21 October 2006. International contributions from nineteen countries provide a comprehensive coverage of the current state-of-the-art in the fields of: - Image Processing and Analysis; - Image Segmentation; - Data Interpolation; - Registration, Acquisition and Compression; - 3D Reconstruction; - Objects Tracking; - Motion and Deformation Analysis; - Objects Simulation; - Medical Imaging; - Computational Bioimaging and Visualization. Related techniques also covered in this book include the finite element method, modal analyses, stochastic methods, principal and independent components analyses and distribution models. Computational Modelling of Objects Represented in Images will be useful to academics, researchers and professionals in Computational Vision (image processing and analysis), Computer Sciences, and Computational Mechanics.

Encyclopedia of Computer Science and Technology

Download Encyclopedia of Computer Science and Technology PDF Online Free

Author :
Publisher : CRC Press
ISBN 13 : 9780824722913
Total Pages : 416 pages
Book Rating : 4.7/5 (229 download)

DOWNLOAD NOW!


Book Synopsis Encyclopedia of Computer Science and Technology by : Allen Kent

Download or read book Encyclopedia of Computer Science and Technology written by Allen Kent and published by CRC Press. This book was released on 1998-02-18 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algorithms for Designing Multimedia Storage Servers to Models and Architectures

Algebraic-Geometric Codes

Download Algebraic-Geometric Codes PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9401138109
Total Pages : 671 pages
Book Rating : 4.4/5 (11 download)

DOWNLOAD NOW!


Book Synopsis Algebraic-Geometric Codes by : M. Tsfasman

Download or read book Algebraic-Geometric Codes written by M. Tsfasman and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 671 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Et moi ..., si j'avait su comment en revenir, One service mathematics has rendered the je n'y serais point aIle.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non sense'. The series is divergent; therefore we may be able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d' etre of this series.

Computational Geometry - Methods, Algorithms and Applications

Download Computational Geometry - Methods, Algorithms and Applications PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9783540548911
Total Pages : 340 pages
Book Rating : 4.5/5 (489 download)

DOWNLOAD NOW!


Book Synopsis Computational Geometry - Methods, Algorithms and Applications by : Hanspeter Bieri

Download or read book Computational Geometry - Methods, Algorithms and Applications written by Hanspeter Bieri and published by Springer Science & Business Media. This book was released on 1991-11-13 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Radiocarbon After Four Decades: An Interdisciplinary Perspective commemorates the 40th anniversary of radiocarbon dating. The volume presents discussions of every aspect of this dating technique, as well as chronicles of its development and views of future advancements and applications. All of the 64 authors played major roles in establishment, development or application of this revolutionary scientific tool. The 35 chapters provide a solid foundation in the essential topics of radiocarbon dating: Historical Perspectives; The Natural Carbon Cycle; Instrumentation and Sample Preparation; Hydrology; Old World Archaeology; New World Archaeology; Earth Sciences; and Biomedical Applications.

Applied Computational Geometry. Towards Geometric Engineering

Download Applied Computational Geometry. Towards Geometric Engineering PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9783540617853
Total Pages : 244 pages
Book Rating : 4.6/5 (178 download)

DOWNLOAD NOW!


Book Synopsis Applied Computational Geometry. Towards Geometric Engineering by : Ming C. Lin

Download or read book Applied Computational Geometry. Towards Geometric Engineering written by Ming C. Lin and published by Springer Science & Business Media. This book was released on 1996-09-25 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Content Description #Anthology selected from contributions to the First ACM Workshop on Applied Computational Geometry.#Includes bibliographical references and index.