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Prolegomena to a Middlebrow Arithmetic of Curves of Genus 2
ISBN: 9780521483704 / Angielski / Miękka / 236 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The number theoretic properties of curves of genus 2 are attracting increasing attention. This book provides new insights into this subject; much of the material here is entirely new, and none has appeared in book form before. The authors include an explicit treatment of the Jacobian, which throws new light onto the geometry of the Kummer surface. Mathematicians can then determine the Mordell-Weil group for many curves, and in many nontrivial cases they can find all rational points. The results exemplify the power of computer algebra in diophantine contexts, but computer expertise is not...
The number theoretic properties of curves of genus 2 are attracting increasing attention. This book provides new insights into this subject; much of t...
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cena:
345,02 |
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Theory of Algebraic Integers
ISBN: 9780521565189 / Angielski / Miękka / 168 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The invention of ideals by Dedekind in the 1870s was well ahead of its time, and proved to be the genesis of what today we would call algebraic number theory. His memoir "Sur la Theorie des Nombres Entiers Algebriques" first appeared in installments in the Bulletin des sciences mathematiques in 1877. This book is a translation of that work by John Stillwell, who adds a detailed introduction giving historical background and who outlines the mathematical obstructions that Dedekind was striving to overcome. Dedekind's memoir offers a candid account of the development of an elegant theory and...
The invention of ideals by Dedekind in the 1870s was well ahead of its time, and proved to be the genesis of what today we would call algebraic number...
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cena:
238,30 |
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A Pathway Into Number Theory
ISBN: 9780521575409 / Angielski / Miękka / 280 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Number theory is concerned with the properties of the natural numbers: 1,2,3, .... During the seventeenth and eighteenth centuries, number theory became established through the work of Fermat, Euler and Gauss. With the hand calculators and computers of today, the results of extensive numerical work are instantly available and mathematicians may traverse the road leading to their discoveries with comparative ease. Now in its second edition, this book consists of a sequence of exercises that will lead readers from quite simple number work to the point where they can prove algebraically the...
Number theory is concerned with the properties of the natural numbers: 1,2,3, .... During the seventeenth and eighteenth centuries, number theory beca...
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cena:
252,22 |
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Approximation Theory and Optimization: Tributes to M. J. D. Powell
ISBN: 9780521581905 / Angielski / Twarda / 236 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume is derived from invited talks given at a meeting celebrating Michael Powell's sixtieth birthday and focuses on innovative work in optimization and approximation theory. The individual papers, written by leading authorities in their subjects, are a mix of expository articles and surveys on new work. They have all been reviewed and edited to form a coherent volume that represents the state of the art in an important discipline within mathematics, with highly relevant applications throughout science and engineering.
This volume is derived from invited talks given at a meeting celebrating Michael Powell's sixtieth birthday and focuses on innovative work in optimiza...
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cena:
535,26 |
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Elliptic Curves
ISBN: 9780521582285 / Angielski / Twarda / 298 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The subject of elliptic curves is one of the jewels of nineteenth-century mathematics, whose masters were Abel, Gauss, Jacobi, and Legendre. This book presents an introductory account of the subject in the style of the original discoverers, with references to and comments about more recent and modern developments. It combines three of the fundamental themes of mathematics: complex function theory, geometry, and arithmetic. After an informal preparatory chapter, the book follows a historical path, beginning with the work of Abel and Gauss on elliptic integrals and elliptic functions. This is...
The subject of elliptic curves is one of the jewels of nineteenth-century mathematics, whose masters were Abel, Gauss, Jacobi, and Legendre. This book...
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cena:
516,69 |
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An Introduction to Mathematical Reasoning: Numbers, Sets and Functions
ISBN: 9780521592697 / Angielski / Twarda / 364 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book eases students into the rigors of university mathematics. The emphasis is on understanding and constructing proofs and writing clear mathematics. The author achieves this by exploring set theory, combinatorics, and number theory, topics that include many fundamental ideas and may not be a part of a young mathematician's toolkit. This material illustrates how familiar ideas can be formulated rigorously, provides examples demonstrating a wide range of basic methods of proof, and includes some of the all-time-great classic proofs. The book presents mathematics as a continually...
This book eases students into the rigors of university mathematics. The emphasis is on understanding and constructing proofs and writing clear mathema...
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cena:
488,86 |
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Geometric Galois Actions: Around Grothendieck's Esquisse D'Un Programme
ISBN: 9780521596428 / Angielski / Miękka / 304 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The first of two volumes on anabelian algebraic geometry, this book contains the famous manuscript "Esquisse d'un Programme" (Sketch of a Program) by Alexander Grothendieck. This work, written fourteen years after his retirement from public life in mathematics, includes the closely related letter to Gerd Faltings, published for the first time in this volume. Together these documents describe a powerful program of future mathematics, unifying aspects of geometry and arithmetic via the central point of moduli spaces of curves. The book is written in an artistic and informal style. It contains...
The first of two volumes on anabelian algebraic geometry, this book contains the famous manuscript "Esquisse d'un Programme" (Sketch of a Program) by ...
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cena:
433,18 |
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Representations and Cohomology: Volume 2, Cohomology of Groups and Modules
ISBN: 9780521636520 / Angielski / Miękka / 292 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The heart of the book is a lengthy introduction to the representation theory of finite dimensional algebras, in which the techniques of quivers with relations and almost split sequences are discussed in some detail.
The heart of the book is a lengthy introduction to the representation theory of finite dimensional algebras, in which the techniques of quivers with r...
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cena:
280,06 |
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Representations and Cohomology: Volume 1, Basic Representation Theory of Finite Groups and Associative Algebras
ISBN: 9780521636537 / Angielski / Miękka / 260 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is the first of two volumes providing an introduction to modern developments in the representation theory of finite groups and associative algebras, which have transformed the subject into a study of categories of modules. Thus, Dr. Benson's unique perspective in this book incorporates homological algebra and the theory of representations of finite-dimensional algebras. This volume is primarily concerned with the exposition of the necessary background material, and the heart of the discussion is a lengthy introduction to the (Auslander-Reiten) representation theory of finite dimensional...
This is the first of two volumes providing an introduction to modern developments in the representation theory of finite groups and associative algebr...
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cena:
252,22 |
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Aspects of Galois Theory
ISBN: 9780521637473 / Angielski / Miękka / 292 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Galois theory is a central part of algebra, dealing with symmetries between solutions of algebraic equations in one variable. This collection of papers brings together articles from some of the world's leading experts in this field. Topics center around the Inverse Galois Problem, comprising the full range of methods and approaches in this area, making this an invaluable resource for all those whose research involves Galois theory.
Galois theory is a central part of algebra, dealing with symmetries between solutions of algebraic equations in one variable. This collection of paper...
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cena:
317,17 |
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Arithmetic of Quadratic Forms
ISBN: 9780521649964 / Angielski / Miękka / 284 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book provides an introduction to quadratic forms, building from basics to the most recent results. Professor Kitaoka is well known for his work in this area, and in this book he covers many aspects of the subject, including lattice theory, Siegel's formula, and some results involving tensor products of positive definite quadratic forms. The reader should have a knowledge of algebraic number fields, making this book ideal for graduate students and researchers wishing for an insight into quadratic forms.
This book provides an introduction to quadratic forms, building from basics to the most recent results. Professor Kitaoka is well known for his work i...
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cena:
270,77 |
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Elliptic Curves: Function Theory, Geometry, Arithmetic
ISBN: 9780521658171 / Angielski / Miękka / 298 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The subject of elliptic curves is one of the jewels of nineteenth-century mathematics, whose masters were Abel, Gauss, Jacobi, and Legendre. This book presents an introductory account of the subject in the style of the original discoverers, with references to and comments about more recent and modern developments. It combines three of the fundamental themes of mathematics: complex function theory, geometry, and arithmetic. After an informal preparatory chapter, the book follows a historical path, beginning with the work of Abel and Gauss on elliptic integrals and elliptic functions. This is...
The subject of elliptic curves is one of the jewels of nineteenth-century mathematics, whose masters were Abel, Gauss, Jacobi, and Legendre. This book...
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cena:
261,50 |
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Surveys in Geometry and Number Theory: Reports on Contemporary Russian Mathematics
ISBN: 9780521691826 / Angielski / Miękka / 326 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The focus of this book is the continuing strength of pure mathematics in Russia after the post-Soviet diaspora. The authors are eight young specialists who are associated with strong research groups in Moscow and St. Petersburg in the fields of algebraic geometry and number theory. Their articles are based on lecture courses given at British universities. The articles are mainly surveys of the recent work of the research groups and contain a substantial number of original results. Topics covered are embeddings and projective duals of homogeneous spaces, formal groups, mirror duality, del...
The focus of this book is the continuing strength of pure mathematics in Russia after the post-Soviet diaspora. The authors are eight young specialist...
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cena:
431,06 |
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Finite Elements: Theory, Fast Solvers, and Applications in Solid Mechanics
ISBN: 9780521705189 / Angielski / Miękka / 384 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This definitive introduction to finite element methods was thoroughly updated for this 2007 third edition, which features important material for both research and application of the finite element method. The discussion of saddle-point problems is a highlight of the book and has been elaborated to include many more nonstandard applications. The chapter on applications in elasticity now contains a complete discussion of locking phenomena. The numerical solution of elliptic partial differential equations is an important application of finite elements and the author discusses this subject...
This definitive introduction to finite element methods was thoroughly updated for this 2007 third edition, which features important material for both ...
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cena:
280,06 |
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Elliptic Functions
ISBN: 9780521785631 / Angielski / Miękka / 387 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In its first six chapters, this text presents the basic ideas and properties of the Jacobi elliptic functions as a historical essay. Accordingly, it is based on the idea of inverting integrals which arise in the theory of differential equations and, in particular, the differential equation that describes the motion of a simple pendulum. The later chapters present a more conventional approach to the Weierstrass functions and to elliptic integrals, and the reader is introduced to the richly varied applications of the elliptic and related functions.
In its first six chapters, this text presents the basic ideas and properties of the Jacobi elliptic functions as a historical essay. Accordingly, it i...
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cena:
233,66 |
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Logarithmic Forms and Diophantine Geometry
ISBN: 9780521882682 / Angielski / Twarda / 208 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. There is now much interplay between studies on logarithmic forms and deep aspects of arithmetic algebraic geometry. New light has been shed, for instance, on the famous conjectures of Tate and Shafarevich relating to abelian varieties and the associated celebrated discoveries of Faltings establishing the Mordell conjecture. This book gives an account of the theory of linear forms in the logarithms of algebraic numbers with special emphasis on the important developments of the past twenty-five years. The first part covers basic material in transcendental number theory but with a modern...
There is now much interplay between studies on logarithmic forms and deep aspects of arithmetic algebraic geometry. New light has been shed, for insta...
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cena:
539,90 |
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The Prime Number Theorem
ISBN: 9780521891103 / Angielski / Miękka / 264 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. At first glance the prime numbers appear to be distributed in a very irregular way amongst the integers, but it is possible to produce a simple formula that tells (in an approximate but well-defined sense) how many primes can be found that are less than any integer. The prime number theorem tells what this formula is and it is indisputably one of the the great classical theorems of mathematics. This textbook introduces the prime number theorem and is suitable for advanced undergraduates and beginning graduate students. The author deftly shows how analytical tools can be used in number theory...
At first glance the prime numbers appear to be distributed in a very irregular way amongst the integers, but it is possible to produce a simple formul...
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cena:
177,98 |
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Abelian Varieties with Complex Multiplication and Modular Functions: (Pms-46)
ISBN: 9780691016566 / Angielski / Twarda / 232 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Reciprocity laws of various kinds play a central role in number theory. In the easiest case, one obtains a transparent formulation by means of roots of unity, which are special values of exponential functions. A similar theory can be developed for special values of elliptic or elliptic modular functions, and is called complex multiplication of such functions. In 1900 Hilbert proposed the generalization of these as the twelfth of his famous problems. In this book, Goro Shimura provides the most comprehensive generalizations of this type by stating several reciprocity laws in terms of... Reciprocity laws of various kinds play a central role in number theory. In the easiest case, one obtains a transparent formulation by means of root... |
cena:
675,89 |
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Period Spaces for P-Divisible Groups (Am-141), Volume 141
ISBN: 9780691027814 / Angielski / Miękka / 353 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In this monograph p-adic period domains are associated to arbitrary reductive groups. Using the concept of rigid-analytic period maps the relation of p-adic period domains to moduli space of p-divisible groups is investigated. In addition, non-archimedean uniformization theorems for general Shimura varieties are established. The exposition includes background material on Grothendieck's "mysterious functor" (Fontaine theory), on moduli problems of p-divisible groups, on rigid analytic spaces, and on the theory of Shimura varieties, as well as an... In this monograph p-adic period domains are associated to arbitrary reductive groups. Using the concept of rigid-analytic period maps the re... |
cena:
563,24 |
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An Introduction to G-Functions. (Am-133), Volume 133
ISBN: 9780691036816 / Angielski / Miękka / 352 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Written for advanced undergraduate and first-year graduate students, this book aims to introduce students to a serious level of p-adic analysis with important implications for number theory. The main object is the study of G-series, that is, power series y=aij=0 Ajxj with coefficients in an algebraic number field K. These series satisfy a linear differential equation Ly=0 with LIK(x) d/dx] and have non-zero radii of convergence for each imbedding of K into the complex numbers. They have the further property that the common denominators of the first s... Written for advanced undergraduate and first-year graduate students, this book aims to introduce students to a serious level of p-adic analy... |
cena:
514,26 |
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