A View from the Top : Analysis, Combinatorics and Number Theory
ISBN: 9780821843970 / Angielski / Miękka / 136 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is based on a capstone course that the author taught to upper division undergraduate students with the goal to explain and visualize the connections between different areas of mathematics and the way different subject matters flow from one another. In teaching his readers a variety of problem solving techniques as well, the author succeeds in enhancing the readers' hands on knowledge of mathematics and provides glimpses into the world of research and discovery. The connections between different techniques and areas of mathematics are emphasized throughout and constitute one of the...
This book is based on a capstone course that the author taught to upper division undergraduate students with the goal to explain and visualize the con...
|
|
cena:
278,46 zł |
Non-Vanishing of L-Functions and Applications
ISBN: 9783034802734 / Angielski / Miękka / 196 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This monograph brings together a collection of results on the non-vanishing of- functions.Thepresentation, thoughbasedlargelyontheoriginalpapers, issuitable forindependentstudy.Anumberofexerciseshavealsobeenprovidedtoaidinthis endeavour. The exercises are of varying di?culty and those which require more e?ort have been marked with an asterisk. The authors would like to thank the Institut d'Estudis Catalans for their encouragementof thiswork throughtheFerranSunyeriBalaguerPrize.Wewould also like to thank the Institute for Advanced Study, Princeton for the excellent conditions which made this...
This monograph brings together a collection of results on the non-vanishing of- functions.Thepresentation, thoughbasedlargelyontheoriginalpapers, issu...
|
|
cena:
311,98 zł |
Knots and Primes: An Introduction to Arithmetic Topology
ISBN: 9781447121572 / Angielski / Miękka / 204 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is a foundation for arithmetic topology - a new branch of mathematics which is focused upon the analogy between knot theory and number theory. Starting with an informative introduction to its origins, namely Gauss, this text provides a background on knots, three manifolds and number fields. Common aspects of both knot theory and number theory, for instance knots in three manifolds versus primes in a number field, are compared throughout the book. These comparisons begin at an elementary level, slowly building up to advanced theories in later chapters. Definitions are carefully formulated...
This is a foundation for arithmetic topology - a new branch of mathematics which is focused upon the analogy between knot theory and number theory. St...
|
|
cena:
253,48 zł |
Number Theory, Analysis and Geometry: In Memory of Serge Lang
ISBN: 9781461412595 / Angielski / Twarda / 704 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Serge Lang was an iconic figure in mathematics, both for his own important work and for the indelible impact he left on the field of mathematics, on his students, and on his colleagues. Over the course of his career, Lang traversed a tremendous amount of mathematical ground. As he moved from subject to subject, he found analogies that led to important questions in such areas as number theory, arithmetic geometry, and the theory of negatively curved spaces. Lang's conjectures will keep many mathematicians occupied far into the future. In the spirit of Lang's vast contribution to mathematics,...
Serge Lang was an iconic figure in mathematics, both for his own important work and for the indelible impact he left on the field of mathematics, on h...
|
|
cena:
585,00 zł |
Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change
ISBN: 9783034803502 / Angielski / Twarda / 258 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In the 1970s Hirzebruch and Zagier produced elliptic modular forms with coefficients in the homology of a Hilbert modular surface. They then computed the Fourier coefficients of these forms in terms of period integrals and L-functions. In this book the authors take an alternate approach to these theorems and generalize them to the setting of Hilbert modular varieties of arbitrary dimension. The approach is conceptual and uses tools that were not available to Hirzebruch and Zagier, including intersection homology theory, properties of modular cycles, and base change. Automorphic vector...
In the 1970s Hirzebruch and Zagier produced elliptic modular forms with coefficients in the homology of a Hilbert modular surface. They then computed ...
|
|
cena:
194,97 zł |
Semigroups of Matrices
ISBN: 9789810234454 / Angielski / Twarda / 328 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is concerned with the structure of linear semigroups, that is, subsemigroups of the multiplicative semigroup Mn(K) of n × n matrices over a field K (or, more generally, skew linear semigroups — if K is allowed to be a division ring) and its applications to certain problems on associative algebras, semigroups and linear representations. It is motivated by several recent developments in the area of linear semigroups and their applications. It summarizes the state of knowledge in this area, presenting the results for the first time in a unified form. The...
This book is concerned with the structure of linear semigroups, that is, subsemigroups of the multiplicative semigroup Mn(K) of n × n ...
|
|
cena:
396,81 zł |
From Fourier Analysis and Number Theory to Radon Transforms and Geometry: In Memory of Leon Ehrenpreis
ISBN: 9781461440741 / Angielski / Twarda / 552 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. A memorial conference for Leon Ehrenpreis was held at Temple University, November 15-16, 2010. In the spirit of Ehrenpreis's contribution to mathematics, the papers in this volume, written by prominent mathematicians, represent the wide breadth of subjects that Ehrenpreis traversed in his career, including partial differential equations, combinatorics, number theory, complex analysis and a bit of applied mathematics. With the exception of one survey article, the papers in this volume are all new results in the various fields in which Ehrenpreis worked . There are papers...
A memorial conference for Leon Ehrenpreis was held at Temple University, November 15-16, 2010. In the spirit of Ehrenpreis's cont...
|
|
cena:
585,00 zł |
Was Sind Und Was Sollen Die Zahlen?
ISBN: 9781108050388 / Angielski / Miękka / 84 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The nineteenth century saw the paradoxes and obscurities of eighteenth-century calculus gradually replaced by the exact theorems and statements of rigorous analysis. It became clear that all analysis could be deduced from the properties of the real numbers. But what are the real numbers and why do they have the properties we claim they do? In this charming and influential book, Richard Dedekind (1831 1916), Professor at the Technische Hochschule in Braunschweig, showed how to resolve this problem starting from elementary ideas. His method of constructing the reals from the rationals (the...
The nineteenth century saw the paradoxes and obscurities of eighteenth-century calculus gradually replaced by the exact theorems and statements of rig...
|
|
cena:
122,04 zł |
Vorlesungen Uber Zahlentheorie
ISBN: 9781108050395 / Angielski / Miękka / 650 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Peter Gustav Lejeune Dirichlet (1805 59) may be considered the father of modern number theory. He studied in Paris, coming under the influence of mathematicians like Fourier and Legendre, and then taught at Berlin and Gottingen universities, where he was the successor to Gauss. This book contains lectures on number theory given by Dirichlet in 1856 7. They include his famous proofs of the class number theorem for binary quadratic forms and the existence of an infinity of primes in every appropriate arithmetical progression. The material was first published in 1863 by Richard Dedekind (1831...
Peter Gustav Lejeune Dirichlet (1805 59) may be considered the father of modern number theory. He studied in Paris, coming under the influence of math...
|
|
cena:
244,14 zł |
Advances in Combinatorics: Waterloo Workshop in Computer Algebra, W80, May 26-29, 2011
ISBN: 9783642309786 / Angielski / Twarda / 293 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume, as Andrew M. Odlzyko writes in the foreword, commemorates and celebrates the life and achievements of an extraordinary person. Originally conceived as an 80th birthday tribute to Herbert Wilf, the well-known combinatorialist, the book has evolved beyond the proceeds of the W80 tribute. Professor Wilf was an award-winning teacher, who was supportive of women mathematicians, and who had an unusually high proportion of women among his PhD candidates. He was Editor-in-chief of the American Mathematical Monthly and a founder of both the Journal of Algorithms and of the... This volume, as Andrew M. Odlzyko writes in the foreword, commemorates and celebrates the life and achievements of an extraordinary person. Origina... |
|
cena:
389,98 zł |
Numerical Semigroups
ISBN: 9781461424567 / Angielski / Miękka / 181 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Let N be the set of nonnegative integers. A numerical semigroup is a nonempty subset S of N that is closed under addition, contains the zero element, and whose complement in N is ?nite. If n, ..., n are positive integers with gcd{n, ..., n } = 1, then the set hn, ..., 1 e 1 e 1 n i = {? n +... + ? n - ?, ..., ? ? N} is a numerical semigroup. Every numer e 1 1 e e 1 e ical semigroup is of this form. The simplicity of this concept makes it possible to state problems that are easy to understand but whose resolution is far from being trivial. This fact attracted several mathematicians like...
Let N be the set of nonnegative integers. A numerical semigroup is a nonempty subset S of N that is closed under addition, contains the zero element, ...
|
|
cena:
350,98 zł |
Rational Points and Arithmetic of Fundamental Groups: Evidence for the Section Conjecture
ISBN: 9783642306730 / Angielski / Miękka / 249 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Lays the foundations for the space of sections of the fundamental group extension of an algebraic variety. This title concludes by discussing analogues of the section conjecture created by varying the base field or the type of variety, or by using a characteristic quotient or its birational analogue in lieu of the fundamental group extension.
Lays the foundations for the space of sections of the fundamental group extension of an algebraic variety. This title concludes by discussing analogue...
|
|
cena:
233,97 zł |
Noncommutative Iwasawa Main Conjectures Over Totally Real Fields: Münster, April 2011
ISBN: 9783642321986 / Angielski / Twarda / 208 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The algebraic techniques developed by Kakde will almost certainly lead eventually to major progress in the study of congruences between automorphic forms and the main conjectures of non-commutative Iwasawa theory for many motives. Non-commutative Iwasawa theory has emerged dramatically over the last decade, culminating in the recent proof of the non-commutative main conjecture for the Tate motive over a totally real p-adic Lie extension of a number field, independently by Ritter and Weiss on the one hand, and Kakde on the other. The initial ideas for giving a precise formulation of the...
The algebraic techniques developed by Kakde will almost certainly lead eventually to major progress in the study of congruences between automorphic fo...
|
|
cena:
702,00 zł |
Complex Multiplication
ISBN: 9781461254874 / Angielski / Miękka / 184 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The small book by Shimura-Taniyama on the subject of complex multi is a classic. It gives the results obtained by them (and some by Weil) plication in the higher dimensional case, generalizing in a non-trivial way the method of Deuring for elliptic curves, by reduction mod p. Partly through the work of Shimura himself (cf. Sh 1] Sh 2], and Sh 5]), and some others (Serre, Tate, Kubota, Ribet, Deligne etc.) it is possible today to make a more snappy and extensive presentation of the fundamental results than was possible in 1961. Several persons have found my lecture notes on this subject...
The small book by Shimura-Taniyama on the subject of complex multi is a classic. It gives the results obtained by them (and some by Weil) plication in...
|
|
cena:
389,98 zł |
Galois Groups Over ?: Proceedings of a Workshop Held March 23-27, 1987
ISBN: 9781461396512 / Angielski / Miękka / 449 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume is the offspring of a week-long workshop on "Galois groups over Q and related topics," which was held at the Mathematical Sciences Research Institute during the week March 23-27, 1987. The organizing committee consisted of Kenneth Ribet (chairman), Yasutaka Ihara, and Jean-Pierre Serre. The conference focused on three principal themes: 1. Extensions of Q with finite simple Galois groups. 2. Galois actions on fundamental groups, nilpotent extensions of Q arising from Fermat curves, and the interplay between Gauss sums and cyclotomic units. 3. Representations of Gal(Q/Q) with values...
This volume is the offspring of a week-long workshop on "Galois groups over Q and related topics," which was held at the Mathematical Sciences Researc...
|
|
cena:
780,00 zł |
Number Theory and Physics: Proceedings of the Winter School, Les Houches, France, March 7-16, 1989
ISBN: 9783642754074 / Angielski / Miękka / 311 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. 7 Les Houches Number theory, or arithmetic, sometimes referred to as the queen of mathematics, is often considered as the purest branch of mathematics. It also has the false repu tation of being without any application to other areas of knowledge. Nevertheless, throughout their history, physical and natural sciences have experienced numerous unexpected relationships to number theory. The book entitled Number Theory in Science and Communication, by M.R. Schroeder (Springer Series in Information Sciences, Vol. 7, 1984) provides plenty of examples of cross-fertilization between number theory and...
7 Les Houches Number theory, or arithmetic, sometimes referred to as the queen of mathematics, is often considered as the purest branch of mathematics...
|
|
cena:
389,98 zł |
Combinatorics of Set Partitions
ISBN: 9781439863336 / Angielski / Twarda / 516 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Focusing on a very active area of mathematical research in the last decade, Combinatorics of Set Partitions presents methods used in the combinatorics of pattern avoidance and pattern enumeration in set partitions. Designed for students and researchers in discrete mathematics, the book is a one-stop reference on the results and research activities of set partitions from 1500 A.D. to today. Each chapter gives historical perspectives and contrasts different approaches, including generating functions, kernel method, block decomposition method, generating tree,... Focusing on a very active area of mathematical research in the last decade, Combinatorics of Set Partitions presents methods used ... |
|
cena:
941,15 zł |
Ramanujan's Place in the World of Mathematics: Essays Providing a Comparative Study
ISBN: 9788132207665 / Angielski / Twarda / 178 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is a collection of articles, all by the author, on the Indian mathematical genius Srinivasa Ramanujan as well as on some of the greatest mathematicians throughout the history whose life and works have things in common with Ramanujan. It presents a unique comparative study of Ramanujan s spectacular discoveries and remarkable life and of the monumental contributions of various mathematical luminaries, some of whom, like Ramanujan, overcame great difficulties in life. In the book, some aspects of Ramanujan s contributions, such as his remarkable formulae for the number pi, his...
This book is a collection of articles, all by the author, on the Indian mathematical genius Srinivasa Ramanujan as well as on some of the greatest mat...
|
|
cena:
194,97 zł |
Analytic Number Theory: Proceedings of a Conference in Honor of Heini Halberstam Volume 1
ISBN: 9781461286455 / Angielski / Miękka / 450 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. On May 16 -20, 1995, approximately 150 mathematicians gathered at the Conference Center of the University of Illinois at Allerton Park for an Inter national Conference on Analytic Number Theory. The meeting marked the approaching official retirement of Heini Halberstam from the mathematics fac ulty of the University of Illinois at Urbana-Champaign. Professor Halberstam has been at the University since 1980, for 8 years as head of the Department of Mathematics, and has been a leading researcher and teacher in number theory for over forty years. The program included invited one hour lectures by...
On May 16 -20, 1995, approximately 150 mathematicians gathered at the Conference Center of the University of Illinois at Allerton Park for an Inter na...
|
|
cena:
623,99 zł |
Fractal Geometry, Complex Dimensions and Zeta Functions: Geometry and Spectra of Fractal Strings
ISBN: 9781461421757 / Angielski / Twarda / 570 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Number theory, spectral geometry, and fractal geometry are interlinked in this in-depth study of the vibrations of fractal strings, that is, one-dimensional drums with fractal boundary. Throughout Geometry, Complex Dimensions and Zeta Functions, Second Edition, new results are examined and a new definition of fractality as the presence of nonreal complex dimensions with positive real parts is presented. The new final chapter discusses several new topics and results obtained since the publication of the first edition. Number theory, spectral geometry, and fractal geometry are interlinked in this in-depth study of the vibrations of fractal strings, that is, one-di... |
|
cena:
545,99 zł |