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Algorithmic Number Theory: Lattices, Number Fields, Curves and Cryptography
ISBN: 9780521208338 / Angielski / Miękka / 664 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Number theory is one of the oldest and most appealing areas of mathematics. Computation has always played a role in number theory, a role which has increased dramatically in the last 20 or 30 years, both because of the advent of modern computers, and because of the discovery of surprising and powerful algorithms. As a consequence, algorithmic number theory has gradually emerged as an important and distinct field with connections to computer science and cryptography as well as other areas of mathematics. This text provides a comprehensive introduction to algorithmic number theory for beginning...
Number theory is one of the oldest and most appealing areas of mathematics. Computation has always played a role in number theory, a role which has in...
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cena:
348,51 |
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Number, Shape, & Symmetry: An Introduction to Number Theory, Geometry, and Group Theory
ISBN: 9781466554641 / Angielski / Twarda / 444 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This textbook shows how number theory and geometry are the essential components in the teaching and learning of mathematics for students in primary grades. The book synthesises basic ideas that lead to an appreciation of the deeper mathematical ideas that grow from these foundations.
This textbook shows how number theory and geometry are the essential components in the teaching and learning of mathematics for students in primary gr...
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cena:
465,23 |
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Notes on the Witt Classification of Hermitian Innerproduct Spaces Over a Ring of Algebraic Integers
ISBN: 9780292740679 / Angielski / Miękka / 158 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The lectures comprising this volume were delivered by P. E. Conner, Nicholson Professor of Mathematics at Louisiana State University, at the University of Texas at Austin in 1978. The lectures are intended to give mathematicians at the graduate level and beyond some powerful algebraic and number theoretical tools for formulating and solving certain types of classification problems in topology. The lectures comprising this volume were delivered by P. E. Conner, Nicholson Professor of Mathematics at Louisiana State University, at the Univer... |
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97,90 |
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Frontiers of Combinatorics & Number Theory
ISBN: 9781612097206 / Angielski / Twarda / 299 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This text is a collection of articles in the first volume of the Journal of Combinatorics and Number Theory. As scheduled the volume consists of three issues and it contains 22 contributed papers from eminent experts or active young mathematicians which cover various important topics in number theory and combinatorics.
This text is a collection of articles in the first volume of the Journal of Combinatorics and Number Theory. As scheduled the volume consists of three...
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cena:
1232,11 |
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A Comprehensive Treatment of Q-Calculus
ISBN: 9783034804301 / Angielski / Twarda / 492 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. To date, the theoretical development of q-calculus has rested on a non-uniform basis. Generally, the bulky Gasper-Rahman notation was used, but the published works on q-calculus looked different depending on where and by whom they were written. This confusion of tongues not only complicated the theoretical development but also contributed to q-calculus remaining a neglected mathematical field. This book overcomes these problems by introducing a new and interesting notation for q-calculus based on logarithms.For instance, q-hypergeometric functions are now visually clear and easy to trace... To date, the theoretical development of q-calculus has rested on a non-uniform basis. Generally, the bulky Gasper-Rahman notation was used, but the... |
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402,53 |
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The Hermitian Two Matrix Model with an Even Quartic Potential
ISBN: 9780821869284 / Angielski / Miękka / 105 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The authors consider the two matrix model with an even quartic potential $W(y)=y^4/4+alpha y^2/2$ and an even polynomial potential $V(x)$. The main result of the paper is the formulation of a vector equilibrium problem for the limiting mean density for the eigenvalues of one of the matrices $M_1$. The vector equilibrium problem is defined for three measures, with external fields on the first and third measures and an upper constraint on the second measure. The proof is based on a steepest descent analysis of a $4 imes4$ matrix valued Riemann-Hilbert problem that characterizes the correlation...
The authors consider the two matrix model with an even quartic potential $W(y)=y^4/4+alpha y^2/2$ and an even polynomial potential $V(x)$. The main re...
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cena:
328,15 |
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Unimath: Hidden Supersymmetry in All Number Sequences
ISBN: 9781475061420 / Angielski / Miękka / 164 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Unimath is the mathematical tool used in Uniphysics, the Science of Synthesis. It analyzes the increments between numbers in numerical sequences, and has found an amazing Law of Digit Balance wherein all sequences sum to zero with resulting balanced binaries, creating mirrors with more than 60 digits. It also reveals amazing, non-random patterns in the digits of pi, e, prime numbers, Lucas numbers, Fibonacci numbers, and more Unimath opens up a whole new avenue in the field of number theory.
Unimath is the mathematical tool used in Uniphysics, the Science of Synthesis. It analyzes the increments between numbers in numerical sequences, and ...
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cena:
161,85 |
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Theory of Groups of Finite Order
ISBN: 9781108050326 / Angielski / Miękka / 544 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The British mathematician William Burnside (1852 1927) and Ferdinand Georg Frobenius (1849 1917), Professor at Zurich and Berlin universities, are considered to be the founders of the modern theory of finite groups. Not only did Burnside prove many important theorems, but he also laid down lines of research for the next hundred years: two Fields Medals have been awarded for work on problems suggested by him. The Theory of Groups of Finite Order, originally published in 1897, was the first major textbook on the subject. The 1911 second edition (reissued here) contains an account of Frobenius's...
The British mathematician William Burnside (1852 1927) and Ferdinand Georg Frobenius (1849 1917), Professor at Zurich and Berlin universities, are con...
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374,14 |
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Multiplicative Number Theory I: Classical Theory
ISBN: 9781107405820 / Angielski / Miękka / 572 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Prime numbers are the multiplicative building blocks of natural numbers. Understanding their overall influence and especially their distribution gives rise to central questions in mathematics and physics. In particular, their finer distribution is closely connected with the Riemann hypothesis, the most important unsolved problem in the mathematical world. This book comprehensively covers all the topics met in first courses on multiplicative number theory and the distribution of prime numbers. The text is based on courses taught successfully over many years at the University of Michigan,...
Prime numbers are the multiplicative building blocks of natural numbers. Understanding their overall influence and especially their distribution gives...
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cena:
509,01 |
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Regulators
ISBN: 9780821853221 / Angielski / Miękka / 276 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume contains the proceedings of the Regulators III Conference, held from July 12 to July 22, 2010, in Barcelona, Spain. Regulators can be thought of as realizations from motivic cohomology, which is very difficult to compute, to more computable theories such as Hodge, Betti, l-adic, and Deligne cohomology. It is a very intricate subject that thrives on its interaction with algebraic K-theory, arithmetic geometry, number theory, motivic cohomology, Hodge theory and mathematical physics. The articles in this volume are a reflection of the various approaches to this subject, such as...
This volume contains the proceedings of the Regulators III Conference, held from July 12 to July 22, 2010, in Barcelona, Spain. Regulators can be thou...
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cena:
563,24 |
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Class Field Theory: Proofs and Applications
ISBN: 9783640969319 / Angielski / Miękka / 56 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Research Paper (postgraduate) from the year 2011 in the subject Mathematics - Number Theory, grade: Postgraduate, University of Sheffield, language: English, abstract: This document is a continuation of my Semester 1 project on class field theory. In the previous work, we made a rounded exposition of the fundamentals of class field theory but in order to preserve the document length the main proofs had to be skipped. We concentrate on filling in the gaps in this second installment. Due to the need to complete the arguments left open last semester and the need for applications this part of the...
Research Paper (postgraduate) from the year 2011 in the subject Mathematics - Number Theory, grade: Postgraduate, University of Sheffield, language: E...
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cena:
270,69 |
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The Book of Numbers
ISBN: 9781461284888 / Angielski / Miękka / 310 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In THE BOOK OF NUMBERS, two famous mathematicians fascinated by beautiful and intriguing number patterns share their insights and discoveries with each other and with readers. John Conway is the showman, master of mathematical games and flamboyant presentations; Richard Guy is the encyclopedist, always on top of problems waiting to be solved. Together they show us why patterns and properties of numbers have captivated mathematicians and non-mathematicians alike for centuries. THE BOOK OF NUMBERS features Conway and Guy's favorite stories about all the kinds of numbers any of us is likely to...
In THE BOOK OF NUMBERS, two famous mathematicians fascinated by beautiful and intriguing number patterns share their insights and discoveries with eac...
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cena:
221,37 |
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Binary Quadratic Forms: Classical Theory and Modern Computations
ISBN: 9781461288701 / Angielski / Miękka / 248 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The first coherent exposition of the theory of binary quadratic forms was given by Gauss in the Disqnisitiones Arithmeticae. During the nine teenth century, as the theory of ideals and the rudiments of algebraic number theory were developed, it became clear that this theory of bi nary quadratic forms, so elementary and computationally explicit, was indeed just a special case of a much more elega, nt and abstract theory which, unfortunately, is not computationally explicit. In recent years the original theory has been laid aside. Gauss's proofs, which involved brute force computations that can...
The first coherent exposition of the theory of binary quadratic forms was given by Gauss in the Disqnisitiones Arithmeticae. During the nine teenth ce...
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cena:
603,81 |
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Factorization and Primality Testing
ISBN: 9781461288718 / Angielski / Miękka / 240 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. "About binomial theorems I'm teeming with a lot of news, With many cheerful facts about the square on the hypotenuse. " - William S. Gilbert (The Pirates of Penzance, Act I) The question of divisibility is arguably the oldest problem in mathematics. Ancient peoples observed the cycles of nature: the day, the lunar month, and the year, and assumed that each divided evenly into the next. Civilizations as separate as the Egyptians of ten thousand years ago and the Central American Mayans adopted a month of thirty days and a year of twelve months. Even when the inaccuracy of a 360-day year became...
"About binomial theorems I'm teeming with a lot of news, With many cheerful facts about the square on the hypotenuse. " - William S. Gilbert (The Pira...
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cena:
209,14 |
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Sequences
ISBN: 9781461382294 / Angielski / Miękka / 293 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. THIS volume is concerned with a substantial branch of number theory of which no connected account appears to exist; we describe the general nature of the constituent topics in the introduction. Although some excellent surveys dealing with limited aspects of the subject under con sideration have been published, the literature as a whole is far from easy to study. This is due in part to the extent of the literature; it is necessary to thread one's way through a maze of results, a complicated structure of inter-relationships, and many conflicting notations. In addition, however, not all the...
THIS volume is concerned with a substantial branch of number theory of which no connected account appears to exist; we describe the general nature of ...
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cena:
201,24 |
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Arithmetic Functions and Integer Products
ISBN: 9781461385509 / Angielski / Miękka / 461 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Every positive integer m has a product representation of the form where v, k and the ni are positive integers, and each Ei = I. A value can be given for v which is uniform in the m. A representation can be computed so that no ni exceeds a certain fixed power of 2m, and the number k of terms needed does not exceed a fixed power of log 2m. Consider next the collection of finite probability spaces whose associated measures assume only rational values. Let hex) be a real-valued function which measures the information in an event, depending only upon the probability x with which that event occurs....
Every positive integer m has a product representation of the form where v, k and the ni are positive integers, and each Ei = I. A value can be given f...
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cena:
201,24 |
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Representations of Integers as Sums of Squares
ISBN: 9781461385684 / Angielski / Miękka / 251 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. During the academic year 1980-1981 I was teaching at the Technion-the Israeli Institute of Technology-in Haifa. The audience was small, but con sisted of particularly gifted and eager listeners; unfortunately, their back ground varied widely. What could one offer such an audience, so as to do justice to all of them? I decided to discuss representations of natural integers as sums of squares, starting on the most elementary level, but with the inten tion of pushing ahead as far as possible in some of the different directions that offered themselves (quadratic forms, theory of genera,...
During the academic year 1980-1981 I was teaching at the Technion-the Israeli Institute of Technology-in Haifa. The audience was small, but con sisted...
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cena:
402,53 |
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Introduction to Cryptography
ISBN: 9781468404982 / Angielski / Miękka / 281 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Cryptography is a key technology in electronic security systems. Modern cryptograpic techniques have many uses, such as to digitally sign documents, for access control, to implement electronic money, and for copyright protection. Because of these important uses it is necessary that users be able to estimate the efficiency and security of cryptographic techniques. It is not sufficient for them to know only how the techniques work. This book is written for readers who want to learn about mod ern cryptographic algorithms and their mathematical foundation but who do not have the necessary...
Cryptography is a key technology in electronic security systems. Modern cryptograpic techniques have many uses, such as to digitally sign documents, f...
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cena:
201,24 |
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The Book of Prime Number Records
ISBN: 9781468405095 / Angielski / Miękka / 479 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This text originated as a lecture delivered November 20, 1984, at Queen's University, in the undergraduate colloquim series established to honor Professors A. J. Coleman and H. W. Ellis and to acknow ledge their long lasting interest in the quality of teaching under graduate students. In another colloquim lecture, my colleague Morris Orzech, who had consulted the latest edition of the Guilllless Book oj Records, remainded me very gently that the most "innumerate" people of the world are of a certain tribe in Mato Grosso, Brazil. They do not even have a word to express the number "two" or the...
This text originated as a lecture delivered November 20, 1984, at Queen's University, in the undergraduate colloquim series established to honor Profe...
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cena:
422,66 |
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Introduction to Analytic Number Theory
ISBN: 9783642461262 / Angielski / Miękka / 144 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book has grown out of a course of lectures I have given at the Eidgenossische Technische Hochschule, Zurich. Notes of those lectures, prepared for the most part by assistants, have appeared in German. This book follows the same general plan as those notes, though in style, and in text (for instance, Chapters III, V, VIII), and in attention to detail, it is rather different. Its purpose is to introduce the non-specialist to some of the fundamental results in the theory of numbers, to show how analytical methods of proof fit into the theory, and to prepare the ground for a subsequent...
This book has grown out of a course of lectures I have given at the Eidgenossische Technische Hochschule, Zurich. Notes of those lectures, prepared fo...
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cena:
483,04 |
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