Polynomials With Special Regard To Reducibility

Download Polynomials With Special Regard To Reducibility full books in PDF, epub, and Kindle. Read online Polynomials With Special Regard To Reducibility ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Polynomials with Special Regard to Reducibility

Author : A. Schinzel
Publisher : Cambridge University Press
ISBN 13 : 9781139426718
Total Pages : 590 pages
Book Rating : 4.4/5 (267 download)

DOWNLOAD NOW!

Book Synopsis Polynomials with Special Regard to Reducibility by : A. Schinzel

Download or read book Polynomials with Special Regard to Reducibility written by A. Schinzel and published by Cambridge University Press. This book was released on 2000-04-27 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers most of the known results on reducibility of polynomials over arbitrary fields, algebraically closed fields and finitely generated fields. Results valid only over finite fields, local fields or the rational field are not covered here, but several theorems on reducibility of polynomials over number fields that are either totally real or complex multiplication fields are included. Some of these results are based on recent work of E. Bombieri and U. Zannier (presented here by Zannier in an appendix). The book also treats other subjects like Ritt's theory of composition of polynomials, and properties of the Mahler measure, and it concludes with a bibliography of over 300 items. This unique work will be a necessary resource for all number theorists and researchers in related fields.

Topics in Topological Graph Theory

Author : Lowell W. Beineke
Publisher : Cambridge University Press
ISBN 13 : 1139643681
Total Pages : 387 pages
Book Rating : 4.1/5 (396 download)

DOWNLOAD NOW!

Book Synopsis Topics in Topological Graph Theory by : Lowell W. Beineke

Download or read book Topics in Topological Graph Theory written by Lowell W. Beineke and published by Cambridge University Press. This book was released on 2009-07-09 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: The use of topological ideas to explore various aspects of graph theory, and vice versa, is a fruitful area of research. There are links with other areas of mathematics, such as design theory and geometry, and increasingly with such areas as computer networks where symmetry is an important feature. Other books cover portions of the material here, but there are no other books with such a wide scope. This book contains fifteen expository chapters written by acknowledged international experts in the field. Their well-written contributions have been carefully edited to enhance readability and to standardize the chapter structure, terminology and notation throughout the book. To help the reader, there is an extensive introductory chapter that covers the basic background material in graph theory and the topology of surfaces. Each chapter concludes with an extensive list of references.

Convex Functions

Author : Jonathan M. Borwein
Publisher : Cambridge University Press
ISBN 13 : 1139811096
Total Pages : 533 pages
Book Rating : 4.1/5 (398 download)

DOWNLOAD NOW!

Book Synopsis Convex Functions by : Jonathan M. Borwein

Download or read book Convex Functions written by Jonathan M. Borwein and published by Cambridge University Press. This book was released on 2010-01-14 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: Like differentiability, convexity is a natural and powerful property of functions that plays a significant role in many areas of mathematics, both pure and applied. It ties together notions from topology, algebra, geometry and analysis, and is an important tool in optimization, mathematical programming and game theory. This book, which is the product of a collaboration of over 15 years, is unique in that it focuses on convex functions themselves, rather than on convex analysis. The authors explore the various classes and their characteristics and applications, treating convex functions in both Euclidean and Banach spaces. The book can either be read sequentially for a graduate course, or dipped into by researchers and practitioners. Each chapter contains a variety of specific examples, and over 600 exercises are included, ranging in difficulty from early graduate to research level.

Variational Principles in Mathematical Physics, Geometry, and Economics

Author : Alexandru Kristály
Publisher : Cambridge University Press
ISBN 13 : 0521117828
Total Pages : 385 pages
Book Rating : 4.5/5 (211 download)

DOWNLOAD NOW!

Book Synopsis Variational Principles in Mathematical Physics, Geometry, and Economics by : Alexandru Kristály

Download or read book Variational Principles in Mathematical Physics, Geometry, and Economics written by Alexandru Kristály and published by Cambridge University Press. This book was released on 2010-08-19 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive introduction to modern applied functional analysis. Assumes only basic notions of calculus, real analysis, geometry, and differential equations.

Large Deviations and Metastability

Author : Enzo Olivieri
Publisher : Cambridge University Press
ISBN 13 : 9780521591638
Total Pages : 540 pages
Book Rating : 4.5/5 (916 download)

DOWNLOAD NOW!

Book Synopsis Large Deviations and Metastability by : Enzo Olivieri

Download or read book Large Deviations and Metastability written by Enzo Olivieri and published by Cambridge University Press. This book was released on 2005-02-21 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description

The Mountain Pass Theorem

Author : Youssef Jabri
Publisher : Cambridge University Press
ISBN 13 : 9781139440813
Total Pages : 390 pages
Book Rating : 4.4/5 (48 download)

DOWNLOAD NOW!

Book Synopsis The Mountain Pass Theorem by : Youssef Jabri

Download or read book The Mountain Pass Theorem written by Youssef Jabri and published by Cambridge University Press. This book was released on 2003-09-15 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 2003 book presents min-max methods through a study of the different faces of the celebrated Mountain Pass Theorem (MPT) of Ambrosetti and Rabinowitz. The reader is led from the most accessible results to the forefront of the theory, and at each step in this walk between the hills, the author presents the extensions and variants of the MPT in a complete and unified way. Coverage includes standard topics, but it also covers other topics covered nowhere else in book form: the non-smooth MPT; the geometrically constrained MPT; numerical approaches to the MPT; and even more exotic variants. Each chapter has a section with supplementary comments and bibliographical notes, and there is a rich bibliography and a detailed index to aid the reader. The book is suitable for researchers and graduate students. Nevertheless, the style and the choice of the material make it accessible to all newcomers to the field.

Number Theory and Related Fields

Author : Jonathan M. Borwein
Publisher : Springer Science & Business Media
ISBN 13 : 1461466423
Total Pages : 395 pages
Book Rating : 4.4/5 (614 download)

DOWNLOAD NOW!

Book Synopsis Number Theory and Related Fields by : Jonathan M. Borwein

Download or read book Number Theory and Related Fields written by Jonathan M. Borwein and published by Springer Science & Business Media. This book was released on 2013-05-16 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Number Theory and Related Fields” collects contributions based on the proceedings of the "International Number Theory Conference in Memory of Alf van der Poorten," hosted by CARMA and held March 12-16th 2012 at the University of Newcastle, Australia. The purpose of the conference was to promote number theory research in Australia while commemorating the legacy of Alf van der Poorten, who had written over 170 papers on the topic of number theory and collaborated with dozens of researchers. The research articles and surveys presented in this book were written by some of the most distinguished mathematicians in the field of number theory, and articles will include related topics that focus on the various research interests of Dr. van der Poorten.

Topics in Algebraic Graph Theory

Author : Lowell W. Beineke
Publisher : Cambridge University Press
ISBN 13 : 1107079454
Total Pages : 302 pages
Book Rating : 4.1/5 (7 download)

DOWNLOAD NOW!

Book Synopsis Topics in Algebraic Graph Theory by : Lowell W. Beineke

Download or read book Topics in Algebraic Graph Theory written by Lowell W. Beineke and published by Cambridge University Press. This book was released on 2004-10-04 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: The rapidly expanding area of algebraic graph theory uses two different branches of algebra to explore various aspects of graph theory: linear algebra (for spectral theory) and group theory (for studying graph symmetry). These areas have links with other areas of mathematics, such as logic and harmonic analysis, and are increasingly being used in such areas as computer networks where symmetry is an important feature. Other books cover portions of this material, but this book is unusual in covering both of these aspects and there are no other books with such a wide scope. Peter J. Cameron, internationally recognized for his substantial contributions to the area, served as academic consultant for this volume, and the result is ten expository chapters written by acknowledged international experts in the field. Their well-written contributions have been carefully edited to enhance readability and to standardize the chapter structure, terminology and notation throughout the book. To help the reader, there is an extensive introductory chapter that covers the basic background material in graph theory, linear algebra and group theory. Each chapter concludes with an extensive list of references.

Categorical Foundations

Author : Maria Cristina Pedicchio
Publisher : Cambridge University Press
ISBN 13 : 9780521834148
Total Pages : 452 pages
Book Rating : 4.8/5 (341 download)

DOWNLOAD NOW!

Book Synopsis Categorical Foundations by : Maria Cristina Pedicchio

Download or read book Categorical Foundations written by Maria Cristina Pedicchio and published by Cambridge University Press. This book was released on 2004 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description

Computer Algebra in Scientific Computing

Author : Vladimir P. Gerdt
Publisher : Springer
ISBN 13 : 3319240218
Total Pages : 508 pages
Book Rating : 4.3/5 (192 download)

DOWNLOAD NOW!

Book Synopsis Computer Algebra in Scientific Computing by : Vladimir P. Gerdt

Download or read book Computer Algebra in Scientific Computing written by Vladimir P. Gerdt and published by Springer. This book was released on 2015-09-10 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 17th International Workshop on Computer Algebra in Scientific Computing, CASC 2015, held in Aachen, Germany, in September 2015. The 35 full papers presented in this volume were carefully reviewed and selected from 42 submissions. They deal with the ongoing progress both in theoretical computer algebra and its expanding applications. New and closer interactions are fostered by combining the area of computer algebra methods and systems and the application of the tools of computer algebra for the solution of problems in scientific computing.

Around the Unit Circle

Author : James McKee
Publisher : Springer Nature
ISBN 13 : 3030800318
Total Pages : 444 pages
Book Rating : 4.0/5 (38 download)

DOWNLOAD NOW!

Book Synopsis Around the Unit Circle by : James McKee

Download or read book Around the Unit Circle written by James McKee and published by Springer Nature. This book was released on 2021-12-08 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mahler measure, a height function for polynomials, is the central theme of this book. It has many interesting properties, obtained by algebraic, analytic and combinatorial methods. It is the subject of several longstanding unsolved questions, such as Lehmer’s Problem (1933) and Boyd’s Conjecture (1981). This book contains a wide range of results on Mahler measure. Some of the results are very recent, such as Dimitrov’s proof of the Schinzel–Zassenhaus Conjecture. Other known results are included with new, streamlined proofs. Robinson’s Conjectures (1965) for cyclotomic integers, and their associated Cassels height function, are also discussed, for the first time in a book. One way to study algebraic integers is to associate them with combinatorial objects, such as integer matrices. In some of these combinatorial settings the analogues of several notorious open problems have been solved, and the book sets out this recent work. Many Mahler measure results are proved for restricted sets of polynomials, such as for totally real polynomials, and reciprocal polynomials of integer symmetric as well as symmetrizable matrices. For reference, the book includes appendices providing necessary background from algebraic number theory, graph theory, and other prerequisites, along with tables of one- and two-variable integer polynomials with small Mahler measure. All theorems are well motivated and presented in an accessible way. Numerous exercises at various levels are given, including some for computer programming. A wide range of stimulating open problems is also included. At the end of each chapter there is a glossary of newly introduced concepts and definitions. Around the Unit Circle is written in a friendly, lucid, enjoyable style, without sacrificing mathematical rigour. It is intended for lecture courses at the graduate level, and will also be a valuable reference for researchers interested in Mahler measure. Essentially self-contained, this textbook should also be accessible to well-prepared upper-level undergraduates.

Abstract Regular Polytopes

Author : Peter McMullen
Publisher : Cambridge University Press
ISBN 13 : 9780521814966
Total Pages : 580 pages
Book Rating : 4.8/5 (149 download)

DOWNLOAD NOW!

Book Synopsis Abstract Regular Polytopes by : Peter McMullen

Download or read book Abstract Regular Polytopes written by Peter McMullen and published by Cambridge University Press. This book was released on 2002-12-12 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract regular polytopes stand at the end of more than two millennia of geometrical research, which began with regular polygons and polyhedra. They are highly symmetric combinatorial structures with distinctive geometric, algebraic or topological properties; in many ways more fascinating than traditional regular polytopes and tessellations. The rapid development of the subject in the past 20 years has resulted in a rich new theory, featuring an attractive interplay of mathematical areas, including geometry, combinatorics, group theory and topology. Abstract regular polytopes and their groups provide an appealing new approach to understanding geometric and combinatorial symmetry. This is the first comprehensive up-to-date account of the subject and its ramifications, and meets a critical need for such a text, because no book has been published in this area of classical and modern discrete geometry since Coxeter's Regular Polytopes (1948) and Regular Complex Polytopes (1974). The book should be of interest to researchers and graduate students in discrete geometry, combinatorics and group theory.

Mathematical Constants

Author : Steven R. Finch
Publisher : Cambridge University Press
ISBN 13 : 9780521818056
Total Pages : 634 pages
Book Rating : 4.8/5 (18 download)

DOWNLOAD NOW!

Book Synopsis Mathematical Constants by : Steven R. Finch

Download or read book Mathematical Constants written by Steven R. Finch and published by Cambridge University Press. This book was released on 2003-08-18 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: Steven Finch provides 136 essays, each devoted to a mathematical constant or a class of constants, from the well known to the highly exotic. This book is helpful both to readers seeking information about a specific constant, and to readers who desire a panoramic view of all constants coming from a particular field, for example, combinatorial enumeration or geometric optimization. Unsolved problems appear virtually everywhere as well. This work represents an outstanding scholarly attempt to bring together all significant mathematical constants in one place.

An Algebraic Introduction to K-Theory

Author : Bruce A. Magurn
Publisher : Cambridge University Press
ISBN 13 : 1107079446
Total Pages : 704 pages
Book Rating : 4.1/5 (7 download)

DOWNLOAD NOW!

Book Synopsis An Algebraic Introduction to K-Theory by : Bruce A. Magurn

Download or read book An Algebraic Introduction to K-Theory written by Bruce A. Magurn and published by Cambridge University Press. This book was released on 2002-05-20 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introduction to algebraic K-theory with no prerequisite beyond a first semester of algebra (including Galois theory and modules over a principal ideal domain). The presentation is almost entirely self-contained, and is divided into short sections with exercises to reinforce the ideas and suggest further lines of inquiry. No experience with analysis, geometry, number theory or topology is assumed. Within the context of linear algebra, K-theory organises and clarifies the relations among ideal class groups, group representations, quadratic forms, dimensions of a ring, determinants, quadratic reciprocity and Brauer groups of fields. By including introductions to standard algebra topics (tensor products, localisation, Jacobson radical, chain conditions, Dedekind domains, semi-simple rings, exterior algebras), the author makes algebraic K-theory accessible to first-year graduate students and other mathematically sophisticated readers. Even if your algebra is rusty, you can read this book; the necessary background is here, with proofs.

Stochastic Integration with Jumps

Author : Klaus Bichteler
Publisher : Cambridge University Press
ISBN 13 : 0521811295
Total Pages : 517 pages
Book Rating : 4.5/5 (218 download)

DOWNLOAD NOW!

Book Synopsis Stochastic Integration with Jumps by : Klaus Bichteler

Download or read book Stochastic Integration with Jumps written by Klaus Bichteler and published by Cambridge University Press. This book was released on 2002-05-13 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: The complete theory of stochastic differential equations driven by jumps, their stability, and numerical approximation theories.

Number Theory: Plowing And Starring Through High Wave Forms - Proceedings Of The 7th China-japan Seminar

Author : Shigeru Kanemitsu
Publisher : World Scientific
ISBN 13 : 9814644943
Total Pages : 212 pages
Book Rating : 4.8/5 (146 download)

DOWNLOAD NOW!

Book Synopsis Number Theory: Plowing And Starring Through High Wave Forms - Proceedings Of The 7th China-japan Seminar by : Shigeru Kanemitsu

Download or read book Number Theory: Plowing And Starring Through High Wave Forms - Proceedings Of The 7th China-japan Seminar written by Shigeru Kanemitsu and published by World Scientific. This book was released on 2015-02-10 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on the successful 7th China-Japan seminar on number theory conducted in Kyushu University, this volume is a compilation of survey and semi-survey type of papers by the participants of the seminar. The topics covered range from traditional analytic number theory to elliptic curves and universality. This volume contains new developments in the field of number theory from recent years and it provides suitable problems for possible new research at a level which is not unattainable. Timely surveys will be beneficial to a new generation of researchers as a source of information and these provide a glimpse at the state-of-the-art affairs in the fields of their research interests.

Many Variations of Mahler Measures

Author : François Brunault
Publisher : Cambridge University Press
ISBN 13 : 1108889190
Total Pages : 185 pages
Book Rating : 4.1/5 (88 download)

DOWNLOAD NOW!

Book Synopsis Many Variations of Mahler Measures by : François Brunault

Download or read book Many Variations of Mahler Measures written by François Brunault and published by Cambridge University Press. This book was released on 2020-05-14 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mahler measure is a fascinating notion and an exciting topic in contemporary mathematics, interconnecting with subjects as diverse as number theory, analysis, arithmetic geometry, special functions and random walks. This friendly and concise introduction to the Mahler measure is a valuable resource for both graduate courses and self-study. It provides the reader with the necessary background material, before presenting the recent achievements and the remaining challenges in the field. The first part introduces the univariate Mahler measure and addresses Lehmer's question, and then discusses techniques of reducing multivariate measures to hypergeometric functions. The second part touches on the novelties of the subject, especially the relation with elliptic curves, modular forms and special values of L-functions. Finally, the Appendix presents the modern definition of motivic cohomology and regulator maps, as well as Deligne–Beilinson cohomology. The text includes many exercises to test comprehension and challenge readers of all abilities.