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تعداد نتایج: 456

Diophantine Analysis

Course Notes from a Summer School

By Jörn Steuding
Publisher: Birkhäuser, 2016-12-21
Pages: 232
Language: en
ISBN_13:9783319488172
ISBN_10:3319488171
Subject: Mathematics

Diophantine Analysis

جزئیات و درخواست

By Robert Daniel Carmichael
1915
Pages: 138
Language: en
OTHER:STANFORD:36105002054398
Subject: Diophantine analysis

Diophantine Analysis

جزئیات و درخواست

By Carmichael Robert D.
1901
Language: en
ISBN_10:0243784384
ISBN_13:9780243784387

Elliptic Curves

Diophantine Analysis

جزئیات و درخواست

By S. Lang
Publisher: Springer Science & Business Media, 2013-06-29
Pages: 270
Language: en
ISBN_13:9783662070109
ISBN_10:3662070103
Subject: Mathematics

Exploring the Number Jungle: A Journey into Diophantine Analysis

A Journey Into Diophantine Analysis

جزئیات و درخواست

By Edward B. Burger
Publisher: American Mathematical Soc., 2000
Pages: 160
Language: en
ISBN_13:9780821826409
ISBN_10:0821826409
Subject: Diophantine analysis

Diophantus and Diophantine Equations

جزئیات و درخواست

By Izabella Grigorʹevna Bashmakova, Joseph H. Silverman
Publisher: Cambridge University Press, 1997
Pages: 110
Language: en
ISBN_10:0883855267
ISBN_13:9780883855263
Subject: Mathematics

Lecture Notes on Diophantine Analysis

جزئیات و درخواست

By Umberto Zannier
Publisher: Springer, 2015-05-05
Pages: 239
Language: en
ISBN_13:9788876425172
ISBN_10:8876425179
Subject: Mathematics

Diophantine Approximation

Festschrift for Wolfgang Schmidt

جزئیات و درخواست

By Robert F. Tichy, Hans Peter Schlickewei, Klaus Schmidt
Publisher: Springer Science & Business Media, 2008-07-10
Pages: 416
Language: en
ISBN_13:9783211742808
ISBN_10:3211742808
Subject: Mathematics

Diophantine Analysis

جزئیات و درخواست

By Robert D. Carmichael
1959
Pages: 118
Language: en
OTHER:OCLC:819946002

Diophantine Analysis

جزئیات و درخواست

By R. D. Carmichael
Publisher: Createspace Independent Publishing Platform, 2017-06-03
Pages: 120
Language: en
ISBN_10:1547058404
ISBN_13:9781547058402

Quadratic Diophantine Equations

$This text treats the classical theory of quadratic diophantine equations and guides the reader through the last two decades of computational techniques and progress in the area. The presentation features two basic methods to investigate and motivate the study of quadratic diophantine equations: the theories of continued fractions and quadratic fields. It also discusses Pell’s equation and its generalizations, and presents some important quadratic diophantine equations and applications. The inclusion of examples makes this book useful for both research and classroom settings.$

جزئیات و درخواست

By Titu Andreescu, Dorin Andrica
Publisher: Springer, 2015-06-29
Pages: 211
Language: en
ISBN_13:9780387541099
ISBN_10:0387541098
Subject: Mathematics

Diophantine Analysis

جزئیات و درخواست

By R D 1879-1967 Carmichael
Publisher: Andesite Press, 2015-08-09
Pages: 136
Language: en
ISBN_10:129662482X
ISBN_13:9781296624828

The Theory of Numbers

And Diophantine Analysis

جزئیات و درخواست

By Robert Daniel Carmichael
1959
Pages: 234
Language: en
OTHER:UCSD:31822001199678
Subject: Diophantine analysis

Number Theory

Volume I: Tools and Diophantine Equations

جزئیات و درخواست

By Henri Cohen
Publisher: Springer Science & Business Media, 2007-05-23
Pages: 673
Language: en
ISBN_13:9780387499222
ISBN_10:0387499229
Subject: Mathematics

Diophantine Analysis

جزئیات و درخواست

By Robert Danie Carmichael
1959
Pages: 118
Language: en
OTHER:OCLC:505328595
Subject: Number theory

Diophantine Analysis and Related Fields

DARF 2007/2008

جزئیات و درخواست

By Takao Komatsu
Publisher: American Institute of Physics, 2008-02-05
Pages: 234
Language: en
OTHER:UCSD:31822035540426
Subject: Mathematics

Diophantine Analysis

$The purpose in writing this book has been to supply the reader with a convenient introduction to Diophantine Analysis. The choice of material has been determined by the end in view. No attempt has been made to include all special results, but a large number of them are to be found both in the text and in the exercises. The general theory of quadratic forms has been omitted entirely, since that subject would require a volume in itself. The reader will therefore miss such an elegant theorem as the following: Every positive integer may be represented as the sum of four squares. Some methods of frequent use in the theory of quadratic forms, in particular that of continued fractions, have been left out of consideration even though they have some value for other Diophantine questions. This is done for the sake of unity and brevity. Probably these omissions will not be regretted, since there are accessible sources through which one can make acquaintance with the parts of the theory excluded. Concerning the exercises, they are intended to serve three purposes: to afford practice material for developing facility in the handling of problems in Diophantine analysis; to give an indication of what special results have already been obtained and what special problems have been found amenable to attack; and to point out unsolved problems which are interesting either from their elegance or from their relation to other problems which already have been treated.Corresponding roughly to these three purposes the problems have been divided into three classes. Those which have no distinguishing mark are intended to serve mainly the purpose first mentioned. Of these there are 133, of which 45 are in the Miscellaneous Exercises at the end of the book. Many of them are inserted at the end of individual sections with the purpose of suggesting that a problem in such position is readily amenable to the methods employed in the section to which it is attached. Finally those exercises which are marked with a dagger (35 in number) are intended to suggest investigations which have not yet been carried out so far as the author is aware. Some of these are scarcely more than exercises, while others call for investigations of considerable extent or interest.Robert D. Carmichael.CONTENTS:I INTRODUCTION RATIONAL TRIANGLES METHOD OF INFINITE DESCENTÂ§ 1 Introductory Remarks Â§ 2 Remarks Relating to Rational TrianglesÂ§ 3 Pythagorean TrianglesÂ§ 4 Rational TriangleÂ§ 5 Impossibility of the System x2 + y2 = z2, y2 + z2 = t2Â§ 6 The Method of Infinite DescentII PROBLEMS INVOLVING A MULTIPLICATIVE DOMAINÂ§ 7 On Numbers of the Form x2 + axy + by2 Â§ 8 On the Equation x2 âˆ’ Dy2 = z2 Â§ 9 General Equation of the Second Degree in Two Variables Â§ 10 Quadratic Equations Involving More than Three VariablesÂ§ 11 Certain Equations of Higher Degree Â§ 12 On the Extension of a Set of Numbers so as to Form a Multiplicative DomainIII EQUATIONS OF THE THIRD DEGREEÂ§ 13 On the Equation kx3 + ax2y + bxy2 + cy3 = t2Â§ 14 On the Equation kx3 + ax2y + bxy2 + cy3 = t3Â§ 15 On the Equation x3 + y3 + z3 âˆ’ 3xyz = u3 + v3 + w3 âˆ’ 3uvwÂ§ 16 Impossibility of the Equation x3 + y3 = 2mz3IV EQUATIONS OF THE FOURTH DEGREEÂ§ 17 On the Equation ax4 + bx3y + cx2y2 + dxy3 + ey4 = mz2Â§ 18 On the Equation ax4 + by4 = cz2 Â§ 19 Other Equations of the Fourth Degree V EQUATIONS OF DEGREE HIGHER THAN THE FOURTH THE FERMAT PROBLEMÂ§ 20 Remarks Concerning Equations of Higher DegreeÂ§ 21 Elementary Properties of the Equation xn + yn = zn,n > 2Â§ 22 Present State of Knowledge Concerning the Equation xp + yp + zp = 0VI THE METHOD OF FUNCTIONAL EQUATIONSÂ§ 23 Introduction Rational Solutions of a Certain Functional EquationÂ§ 24 Solution of a Certain Problem from DiophantusÂ§ 25 Solution of a Certain Problem Due to Fermat$

جزئیات و درخواست

By Robert Carmichael
2013-06-19
Pages: 106
Language: en
ISBN_10:1490478930
ISBN_13:9781490478937

Diophantine Equations and Power Integral Bases

Theory and Algorithms

جزئیات و درخواست

By István Gaál
Publisher: Springer Nature, 2019-09-03
Pages: 326
Language: en
ISBN_13:9783030238650
ISBN_10:3030238652
Subject: Mathematics

Diophantine Analysis

Robert D. Carmichael

$The author's purpose in writing this book has been to supply the reader with a convenient introduction to Diophantine Analysis. The choice of material has been determined by the end in view. No attempt has been made to include all special results, but a large number of them are to be found both in the text and in the exercises. The general theory of quadratic forms has been omitted entirely, since that subject would require a volume in itself. The reader will therefore miss such an elegant theorem as the following: Every positive integer may be represented as the sum of four squares. Some methods of frequent use in the theory of quadratic forms, in particular that of continued fractions, have been left out of consideration even though they have some value for other Diophantine questions. This is done for the sake of unity and brevity. Probablythese omissions will not be regretted, since there are accessible sources through which one can make acquaintance with the parts of the theory excluded.$

جزئیات و درخواست

By Robert D Carmichael
2019-12-20
Pages: 96
Language: en
ISBN_10:1677953837
ISBN_13:9781677953837

Classical Diophantine Equations

جزئیات و درخواست

By Vladimir G. Sprindzuk
Publisher: Springer, 2006-11-15
Pages: 244
Language: en
ISBN_13:9783540480839
ISBN_10:3540480838
Subject: Mathematics

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