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Combinatorial Methods: Free Groups, Polynomials, and Free Algebras
ISBN: 9780387405629 / Angielski / Twarda / 315 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is about three seemingly independent areas of mathematics: combinatorial group theory, the theory of Lie algebras and affine algebraic geometry. Indeed, for many years these areas were being developed fairly independently. Combinatorial group theory, the oldest of the three, was born in the beginning of the 20th century as a branch of low-dimensional topology. Very soon, it became an important area of mathematics with its own powerful techniques. In the 1950s, combinatorial group theory started to influence, rather substantially, the theory of Lie algebrasj thus combinatorial theory...
This book is about three seemingly independent areas of mathematics: combinatorial group theory, the theory of Lie algebras and affine algebraic geome...
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cena:
201,24 |
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Intuitive Combinatorial Topology
ISBN: 9780387951140 / Angielski / Twarda / 142 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Topology is a relatively young and very important branch of mathematics. It studies properties of objects that are preserved by deformations, twistings, and stretchings, but not tearing. This book deals with the topology of curves and surfaces as well as with the fundamental concepts of homotopy and homology, and does this in a lively and well-motivated way. There is hardly an area of mathematics that does not make use of topological results and concepts. The importance of topological methods for different areas of physics is also beyond doubt. They are used in field theory and general...
Topology is a relatively young and very important branch of mathematics. It studies properties of objects that are preserved by deformations, twisting...
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cena:
221,37 |
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Number Theory in Function Fields
ISBN: 9780387953359 / Angielski / Twarda / 358 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Elementary number theory is concerned with the arithmetic properties of the ring of integers, Z, and its field of fractions, the rational numbers, Q. Early on in the development of the subject it was noticed that Z has many properties in common with A = IF T], the ring of polynomials over a finite field. Both rings are principal ideal domains, both have the property that the residue class ring of any non-zero ideal is finite, both rings have infinitely many prime elements, and both rings have finitely many units. Thus, one is led to suspect that many results which hold for Z have analogues of...
Elementary number theory is concerned with the arithmetic properties of the ring of integers, Z, and its field of fractions, the rational numbers, Q. ...
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cena:
322,01 |
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Algebraic Functions and Projective Curves
ISBN: 9780387954325 / Angielski / Twarda / 186 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book grew out of a set of notes for a series of lectures I orginally gave at the Center for Communications Research and then at Princeton University. The motivation was to try to understand the basic facts about algebraic curves without the modern prerequisite machinery of algebraic geometry. Of course, one might well ask if this is a good thing to do. There is no clear answer to this question. In short, we are trading off easier access to the facts against a loss of generality and an impaired understanding of some fundamental ideas. Whether or not this is a useful tradeoff is something...
This book grew out of a set of notes for a series of lectures I orginally gave at the Center for Communications Research and then at Princeton Univers...
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cena:
201,24 |
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Introduction to Analysis of the Infinite: Book I
ISBN: 9780387968247 / Angielski / Twarda / 327 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. From the preface of the author: ..".I have divided this work into two books; in the first of these I have confined myself to those matters concerning pure analysis. In the second book I have explained those thing which must be known from geometry, since analysis is ordinarily developed in such a way that its application to geometry is shown. In the first book, since all of analysis is concerned with variable quantities and functions of such variables, I have given full treatment to functions. I have also treated the transformation of functions and functions as the sum of infinite...
From the preface of the author: ..".I have divided this work into two books; in the first of these I have confined myself to those matters conc...
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cena:
724,58 |
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Riemann Surfaces
ISBN: 9780387977034 / Angielski / Twarda / 366 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This text covers Riemann surface theory from elementary aspects to the fontiers of current research. Open and closed surfaces are treated with emphasis on the compact case, while basic tools are developed to describe the analytic, geometric, and algebraic properties of Riemann surfaces and the associated Abelian varities. Topics covered include existence of meromorphic functions, the Riemann-Roch theorem, Abel's theorem, the Jacobi inversion problem, Noether's theorem, and the Riemann vanishing theorem. A complete treatment of the uniformization of Riemann sufaces via Fuchsian groups,...
This text covers Riemann surface theory from elementary aspects to the fontiers of current research. Open and closed surfaces are treated with emphasi...
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cena:
402,53 |
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Book of Curves
ISBN: 9780521044448 / Angielski / Miękka / 212 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book opens up an important field of mathematics at an elementary level, one in which the element of aesthetic pleasure, both in the shapes of the curves and in their mathematical relationships, is dominant. This book describes methods of drawing plane curves, beginning with conic sections (parabola, ellipse and hyperbola), and going on to cycloidal curves, spirals, glissettes, pedal curves, strophoids and so on. In general, 'envelope methods' are used. There are twenty-five full-page plates and over ninety smaller diagrams in the text. The book can be used in schools, but will also be a...
This book opens up an important field of mathematics at an elementary level, one in which the element of aesthetic pleasure, both in the shapes of the...
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cena:
226,16 |
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Real Submanifolds in Complex Space and Their Mappings (Pms-47)
ISBN: 9780691004983 / Angielski / Twarda / 416 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book presents many of the main developments of the past two decades in the study of real submanifolds in complex space, providing crucial background material for researchers and advanced graduate students. The techniques in this area borrow from real and complex analysis and partial differential equations, as well as from differential, algebraic, and analytical geometry. In turn, these latter areas have been enriched over the years by the study of problems in several complex variables addressed here. The authors, M. Salah Baouendi, Peter Ebenfelt, and Linda Preiss Rothschild, include... This book presents many of the main developments of the past two decades in the study of real submanifolds in complex space, providing crucial back... |
cena:
709,24 |
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Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (Am-134), Volume 134
ISBN: 9780691036403 / Angielski / Miękka / 312 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book offers a self-contained account of the 3-manifold invariants arising from the original Jones polynomial. These are the Witten-Reshetikhin-Turaev and the Turaev-Viro invariants. Starting from the Kauffman bracket model for the Jones polynomial and the diagrammatic Temperley-Lieb algebra, higher-order polynomial invariants of links are constructed and combined to form the 3-manifold invariants. The methods in this book are based on a recoupling theory for the Temperley-Lieb algebra. This recoupling theory is a q-deformation of the SU(2) spin networks of Roger Penrose. ... This book offers a self-contained account of the 3-manifold invariants arising from the original Jones polynomial. These are the Witten-Reshetikhin... |
cena:
558,65 |
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Twisted L-Functions and Monodromy. (Am-150), Volume 150
ISBN: 9780691091518 / Angielski / Miękka / 264 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. For hundreds of years, the study of elliptic curves has played a central role in mathematics. The past century in particular has seen huge progress in this study, from Mordell's theorem in 1922 to the work of Wiles and Taylor-Wiles in 1994. Nonetheless, there remain many fundamental questions where we do not even know what sort of answers to expect. This book explores two of them: What is the average rank of elliptic curves, and how does the rank vary in various kinds of families of elliptic curves? Nicholas Katz answers these questions for families of ''big'' twists of elliptic... For hundreds of years, the study of elliptic curves has played a central role in mathematics. The past century in particular has seen huge progress... |
cena:
446,92 |
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Deformations of Mathematical Structures: Complex Analysis with Physical Applications
ISBN: 9780792300236 / Angielski / Twarda / 352 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. These Proceedings contain selected papers by the speakers invited to the Seminar on Deformations, organized in 1985/87 by Julian tawryno wicz (t6dz), whose most fruitful parts took place in 1986 in Lublin during the 3rd Finnish-Polish Summer School in Complex Analysis in cooperation with O. Martio (JyvliskyHl)] held simultaneously with the 9th Conference on Analytic Function in Poland in cooperation with S. Dimiev (Sofia), P. Dolbeault (Paris), K. Spallek (Bochum), and E. Vesen tini (Pisa)]. The Lublin session of the Seminar, organized jointly with S. Dimiev and K. Spallek, was preceded by...
These Proceedings contain selected papers by the speakers invited to the Seminar on Deformations, organized in 1985/87 by Julian tawryno wicz (t6dz), ...
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cena:
402,53 |
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Complex Analytic Sets
ISBN: 9780792302346 / Angielski / Twarda / 372 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. One service mathematics has rendered the 'Et moi, .. " si j'avait so comment en revenir, human race. It has put common sense back je n'y semis point aile.' Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non The series is divergent; therefore we may be sense'. 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...
One service mathematics has rendered the 'Et moi, .. " si j'avait so comment en revenir, human race. It has put common sense back je n'y semis point a...
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cena:
603,81 |
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Algebraic K-Theory and Algebraic Topology
ISBN: 9780792323914 / Angielski / Twarda / 328 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. A NATO Advanced Study Institute entitled "Algebraic K-theory and Algebraic Topology" was held at Chateau Lake Louise, Lake Louise, Alberta, Canada from December 12 to December 16 of 1991. This book is the volume of proceedings for this meeting. The papers that appear here are representative of most of the lectures that were given at the conference, and therefore present a "snapshot" of the state ofthe K-theoretic art at the end of 1991. The underlying objective of the meeting was to discuss recent work related to the Lichtenbaum-Quillen complex of conjectures, fro both the algebraic and...
A NATO Advanced Study Institute entitled "Algebraic K-theory and Algebraic Topology" was held at Chateau Lake Louise, Lake Louise, Alberta, Canada fro...
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cena:
1408,95 |
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Algebraic K-Theory
ISBN: 9780792331858 / Angielski / Twarda / 440 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Algebraic K-theory is a modern branch of algebra which has many important applications in fundamental areas of mathematics connected with algebra, topology, algebraic geometry, functional analysis and algebraic number theory. Methods of algebraic K-theory are actively used in algebra and related fields, achieving interesting results.
This book presents the elements of algebraic K-theory, based essentially on the fundamental works of Milnor, Swan, Bass, Quillen, Karoubi, Gersten, Loday and Waldhausen. It includes all principal algebraic K-theories,... Algebraic K-theory is a modern branch of algebra which has many important applications in fundamental areas of mathematics connected with alg...
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cena:
603,81 |
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Ramified Integrals, Singularities and Lacunas
ISBN: 9780792331933 / Angielski / Twarda / 294 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Many special functions occuring in physics and partial differential equations can be represented by integral transformatIons: the fundamental solutions of many PDE's, Newton-Coulomb potentials, hypergeometric functions, Feynman integrals, initial data of (inverse) tomography problems, etc. The general picture of such transfor mations is as follows. There is an analytic fibre bundle E --+ T, a differential form w on E, whose restrictions on the fibres are closed, and a family of cycles in these fibres, parametrized by the points of T and depending continuously on these points. Then the...
Many special functions occuring in physics and partial differential equations can be represented by integral transformatIons: the fundamental solution...
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cena:
201,24 |
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Complex General Relativity
ISBN: 9780792333401 / Angielski / Twarda / 206 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is written for theoretical and mathematical physicists and mat- maticians interested in recent developments in complex general relativity and their application to classical and quantum gravity. Calculations are presented by paying attention to those details normally omitted in research papers, for pedagogical r- sons. Familiarity with fibre-bundle theory is certainly helpful, but in many cases I only rely on two-spinor calculus and conformally invariant concepts in gravitational physics. The key concepts the book is devoted to are complex manifolds, spinor techniques, conformal...
This book is written for theoretical and mathematical physicists and mat- maticians interested in recent developments in complex general relativity an...
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cena:
402,53 |
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Abelian Groups and Modules: Proceedings of the Padova Conference, Padova, Italy, June 23-July 1, 1994
ISBN: 9780792337560 / Angielski / Twarda / 517 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. On the 26th of November 1992 the organizing committee gathered together, at Luigi Salce's invitation, for the first time. The tradition of abelian groups and modules Italian conferences (Rome 77, Udine 85, Bressanone 90) needed to be kept up by one more meeting. Since that first time it was clear to us that our goal was not so easy. In fact the main intended topics of abelian groups, modules over commutative rings and non commutative rings have become so specialized in the last years that it looked really ambitious to fit them into only one meeting. Anyway, since everyone of us shared the...
On the 26th of November 1992 the organizing committee gathered together, at Luigi Salce's invitation, for the first time. The tradition of abelian gro...
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cena:
402,53 |
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Non-Abelian Homological Algebra and Its Applications
ISBN: 9780792347187 / Angielski / Twarda / 266 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. While in classical (abelian) homological algebra additive functors from abelian (or additive) categories to abelian categories are investigated, non- abelian homological algebra deals with non-additive functors and their homological properties, in particular with functors having values in non-abelian categories. Such functors haveimportant applications in algebra, algebraic topology, functional analysis, algebraic geometry and other principal areas of mathematics. To study homological properties of non-additive functors it is necessary to define and investigate their derived functors and...
While in classical (abelian) homological algebra additive functors from abelian (or additive) categories to abelian categories are investigated, non- ...
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cena:
603,81 |
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Quantum Field Theory: Perspective and Prospective
ISBN: 9780792356738 / Angielski / Miękka / 403 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. It has been said that String theorists talk to string theorists and everyone else wonders what they are saying'. This book will be a great help to those researchers who are challenged by modern quantum field theory.
Quantum field theory experienced a renaissance in the late 1960s. Here, participants in the Les Houches sessions of 1970/75, now key players in quantum field theory and its many impacts, assess developments in their field of interest and provide guidance to young researchers challenged by these developments, but overwhelmed by their complexities. The book is not a... It has been said that String theorists talk to string theorists and everyone else wonders what they are saying'. This book will be a great help to tho...
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cena:
805,10 |
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Nilpotent Orbits, Primitive Ideals, and Characteristic Classes: A Geometric Perspective in Ring Theory
ISBN: 9780817634735 / Angielski / Twarda / 134 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. 1. The Subject Matter. Consider a complex semisimple Lie group G with Lie algebra g and Weyl group W. In this book, we present a geometric perspective on the following circle of ideas: polynomials The "vertices" of this graph are some of the most important objects in representation theory. Each has a theory in its own right, and each has had its own independent historical development. - A nilpotent orbit is an orbit of the adjoint action of G on g which contains the zero element of g in its closure. (For the special linear group 2 G = SL(n, C), whose Lie algebra 9 is all n x n matrices with...
1. The Subject Matter. Consider a complex semisimple Lie group G with Lie algebra g and Weyl group W. In this book, we present a geometric perspective...
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cena:
442,79 |
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