The Determination of Almost Coincident Roots Among a Set of Algebraic Equations

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ISBN 13 :
Total Pages : 22 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis The Determination of Almost Coincident Roots Among a Set of Algebraic Equations by : Walter J. Brinks

Download or read book The Determination of Almost Coincident Roots Among a Set of Algebraic Equations written by Walter J. Brinks and published by . This book was released on 1972 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt: As an extension of earlier work by the author, the compatible subtraction algorithm is used to determine almost coincident roots among a set of algebraic equations of arbitrarily high degree. Only manual computation methods need be used. Also, a procedure for cubic equations is discussed for the determination of almost coincident complex roots, by examining the real root of an associated cubic. It seems likely that the associated equation method might be extended to higher degree equations. (Author).

Method for Determining Shared and Repeated Roots in Algebraic Equations

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ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis Method for Determining Shared and Repeated Roots in Algebraic Equations by : Walter J. Brinks

Download or read book Method for Determining Shared and Repeated Roots in Algebraic Equations written by Walter J. Brinks and published by . This book was released on 1970 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: Common roots shared among all the equations of a set of algebraic equations may be determined by pairing off the equations of the set and repeatedly subtracting, after certain preliminaries. Eventually, all the common roots may be found from an equation of degree equal to the number of common roots, which in many practical cases would be a linear relation or a quadratic. Multiple roots of a single equation, or shared in a set, may be found in a similar manner. The method will also locate approximately the region of almost equal roots of two equations. The process is based on the nature of the roots of a polynomial, which is the algebraic sum of the given polynomials multiplied by constants. (Author).

Government Reports Announcements

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ISBN 13 :
Total Pages : 1290 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Government Reports Announcements by :

Download or read book Government Reports Announcements written by and published by . This book was released on 1972-10 with total page 1290 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Government Reports Announcements & Index

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ISBN 13 :
Total Pages : 480 pages
Book Rating : 4.:/5 (3 download)

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Book Synopsis Government Reports Announcements & Index by :

Download or read book Government Reports Announcements & Index written by and published by . This book was released on 1996 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Taming the Unknown

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Publisher : Princeton University Press
ISBN 13 : 0691149054
Total Pages : 504 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Taming the Unknown by : Victor J. Katz

Download or read book Taming the Unknown written by Victor J. Katz and published by Princeton University Press. This book was released on 2014-07-21 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is algebra? For some, it is an abstract language of x's and y’s. For mathematics majors and professional mathematicians, it is a world of axiomatically defined constructs like groups, rings, and fields. Taming the Unknown considers how these two seemingly different types of algebra evolved and how they relate. Victor Katz and Karen Parshall explore the history of algebra, from its roots in the ancient civilizations of Egypt, Mesopotamia, Greece, China, and India, through its development in the medieval Islamic world and medieval and early modern Europe, to its modern form in the early twentieth century. Defining algebra originally as a collection of techniques for determining unknowns, the authors trace the development of these techniques from geometric beginnings in ancient Egypt and Mesopotamia and classical Greece. They show how similar problems were tackled in Alexandrian Greece, in China, and in India, then look at how medieval Islamic scholars shifted to an algorithmic stage, which was further developed by medieval and early modern European mathematicians. With the introduction of a flexible and operative symbolism in the sixteenth and seventeenth centuries, algebra entered into a dynamic period characterized by the analytic geometry that could evaluate curves represented by equations in two variables, thereby solving problems in the physics of motion. This new symbolism freed mathematicians to study equations of degrees higher than two and three, ultimately leading to the present abstract era. Taming the Unknown follows algebra’s remarkable growth through different epochs around the globe.

Topological Galois Theory

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Publisher : Springer
ISBN 13 : 364238871X
Total Pages : 317 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Topological Galois Theory by : Askold Khovanskii

Download or read book Topological Galois Theory written by Askold Khovanskii and published by Springer. This book was released on 2014-10-10 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a detailed and largely self-contained description of various classical and new results on solvability and unsolvability of equations in explicit form. In particular, it offers a complete exposition of the relatively new area of topological Galois theory, initiated by the author. Applications of Galois theory to solvability of algebraic equations by radicals, basics of Picard–Vessiot theory, and Liouville's results on the class of functions representable by quadratures are also discussed. A unique feature of this book is that recent results are presented in the same elementary manner as classical Galois theory, which will make the book useful and interesting to readers with varied backgrounds in mathematics, from undergraduate students to researchers. In this English-language edition, extra material has been added (Appendices A–D), the last two of which were written jointly with Yura Burda.

Algebraic Geometry: Hirzebruch 70

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Publisher : American Mathematical Soc.
ISBN 13 : 0821811495
Total Pages : 386 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Algebraic Geometry: Hirzebruch 70 by : Friedrich Hirzebruch

Download or read book Algebraic Geometry: Hirzebruch 70 written by Friedrich Hirzebruch and published by American Mathematical Soc.. This book was released on 1999 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the proceedings from the conference on algebraic geometry in honor of Professor Friedrich Hirzebruch's 70th Birthday. The event was held at the Stefan Banach International Mathematical Center in Warsaw (Poland). Topics covered in the book include intersection theory, singularities, low-dimensional manifolds, moduli spaces, number theory, and interactions between mathematical physics and geometry. Also included are articles from notes of two special lectures. The first, by Professor M. Atiyah, describes the important contributions to the field of geometry by Professor Hirzebruch. The second article contains notes from the talk delivered at the conference by Professor Hirzebruch. Contributors to the volume are leading researchers in the field.

Locally Mixed Symmetric Spaces

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Publisher : Springer Nature
ISBN 13 : 3030698041
Total Pages : 622 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Locally Mixed Symmetric Spaces by : Bruce Hunt

Download or read book Locally Mixed Symmetric Spaces written by Bruce Hunt and published by Springer Nature. This book was released on 2021-09-04 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt: What do the classification of algebraic surfaces, Weyl's dimension formula and maximal orders in central simple algebras have in common? All are related to a type of manifold called locally mixed symmetric spaces in this book. The presentation emphasizes geometric concepts and relations and gives each reader the "roter Faden", starting from the basics and proceeding towards quite advanced topics which lie at the intersection of differential and algebraic geometry, algebra and topology. Avoiding technicalities and assuming only a working knowledge of real Lie groups, the text provides a wealth of examples of symmetric spaces. The last two chapters deal with one particular case (Kuga fiber spaces) and a generalization (elliptic surfaces), both of which require some knowledge of algebraic geometry. Of interest to topologists, differential or algebraic geometers working in areas related to arithmetic groups, the book also offers an introduction to the ideas for non-experts.

Labyrinth of Thought

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Publisher : Springer Science & Business Media
ISBN 13 : 376438350X
Total Pages : 486 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Labyrinth of Thought by : José Ferreirós

Download or read book Labyrinth of Thought written by José Ferreirós and published by Springer Science & Business Media. This book was released on 2008-10-04 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: "José Ferreirós has written a magisterial account of the history of set theory which is panoramic, balanced, and engaging. Not only does this book synthesize much previous work and provide fresh insights and points of view, but it also features a major innovation, a full-fledged treatment of the emergence of the set-theoretic approach in mathematics from the early nineteenth century." --Bulletin of Symbolic Logic (Review of first edition)

Government Reports Index

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Publisher :
ISBN 13 :
Total Pages : 1120 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Government Reports Index by :

Download or read book Government Reports Index written by and published by . This book was released on 1972 with total page 1120 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Labyrinth of Thought

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Publisher : Birkhäuser
ISBN 13 : 3034850492
Total Pages : 459 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Labyrinth of Thought by : Jose Ferreiros

Download or read book Labyrinth of Thought written by Jose Ferreiros and published by Birkhäuser. This book was released on 2013-11-22 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: "José Ferreirós has written a magisterial account of the history of set theory which is panoramic, balanced, and engaging. Not only does this book synthesize much previous work and provide fresh insights and points of view, but it also features a major innovation, a full-fledged treatment of the emergence of the set-theoretic approach in mathematics from the early nineteenth century. This takes up Part One of the book. Part Two analyzes the crucial developments in the last quarter of the nineteenth century, above all the work of Cantor, but also Dedekind and the interaction between the two. Lastly, Part Three details the development of set theory up to 1950, taking account of foundational questions and the emergence of the modern axiomatization." (Bulletin of Symbolic Logic)

Nature

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ISBN 13 :
Total Pages : 656 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Nature by : Sir Norman Lockyer

Download or read book Nature written by Sir Norman Lockyer and published by . This book was released on 1885 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Solving Systems of Polynomial Equations

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Publisher : American Mathematical Soc.
ISBN 13 : 0821832514
Total Pages : 162 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Solving Systems of Polynomial Equations by : Bernd Sturmfels

Download or read book Solving Systems of Polynomial Equations written by Bernd Sturmfels and published by American Mathematical Soc.. This book was released on 2002 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bridging a number of mathematical disciplines, and exposing many facets of systems of polynomial equations, Bernd Sturmfels's study covers a wide spectrum of mathematical techniques and algorithms, both symbolic and numerical.

Algebraic Groups and their Representations

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Publisher : Springer Science & Business Media
ISBN 13 : 9401153086
Total Pages : 388 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Algebraic Groups and their Representations by : R.W. Carter

Download or read book Algebraic Groups and their Representations written by R.W. Carter and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains 19 articles written by speakers at the Advanced Study Institute on 'Modular representations and subgroup structure of al gebraic groups and related finite groups' held at the Isaac Newton Institute, Cambridge from 23rd June to 4th July 1997. We acknowledge with gratitude the financial support given by the NATO Science Committee to enable this ASI to take place. Generous financial support was also provided by the European Union. We are also pleased to acknowledge funds given by EPSRC to the Newton Institute which were used to support the meeting. It is a pleasure to thank the Director of the Isaac Newton Institute, Professor Keith Moffatt, and the staff of the Institute for their dedicated work which did so much to further the success of the meeting. The editors wish to thank Dr. Ross Lawther and Dr. Nick Inglis most warmly for their help in the production of this volume. Dr. Lawther in particular made an invaluable contribution in preparing the volume for submission to the publishers. Finally we wish to thank the distinguished speakers at the ASI who agreed to write articles for this volume based on their lectures at the meet ing. We hope that the volume will stimulate further significant advances in the theory of algebraic groups.

Advanced Calculus (Revised Edition)

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Publisher : World Scientific Publishing Company
ISBN 13 : 9814583952
Total Pages : 595 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Advanced Calculus (Revised Edition) by : Lynn Harold Loomis

Download or read book Advanced Calculus (Revised Edition) written by Lynn Harold Loomis and published by World Scientific Publishing Company. This book was released on 2014-02-26 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.

Chambers's Encyclopædia

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Publisher :
ISBN 13 :
Total Pages : 740 pages
Book Rating : 4.X/5 (3 download)

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Book Synopsis Chambers's Encyclopædia by :

Download or read book Chambers's Encyclopædia written by and published by . This book was released on 1888 with total page 740 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Chemical News and Journal of Physical Science

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Publisher :
ISBN 13 :
Total Pages : 430 pages
Book Rating : 4.:/5 (891 download)

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Book Synopsis The Chemical News and Journal of Physical Science by :

Download or read book The Chemical News and Journal of Physical Science written by and published by . This book was released on 1864 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: