اهلين وسهلين
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اريد اى كتاب فىnumber theory يبدأ بهذا الاسمElementary number theory وشكرا
اريد اى كتاب فىnumber theory يبدأ بهذا الاسمElementary number theory ..
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dedoda
Well-Known Member
Solved and unsolved problems in number theory
Posted By: math007 | Date: 10 Nov 2007 02:56 | Comments: 4
Daniel Shanks, "Solved and unsolved problems in number theory"
Publisher: Chelsea Pub. Co | Pages: 258 | ISBN: 0828402973 | DjVu | 3 MB
The investigation of three problems, that of perfect numbers, that of periodic decimals, and that of Pythagorean numbers has given rise to much of elementary number theory, and the author shows how each result gives rise to further results and conjectures. He treats not only results and theorems ("solved problems") but also questions that are still open and conjectures ("unsolved problems"), making this a most exciting and unusual treatment. The author, a past editor of Mathematics of Computation, presents research done in the fifteen years between the first and second editions, with emphasis on results that were achieved with the aid of computers. The volume includes a substantial Bibliography.
http://rapidshare.com/files/68642407/Shanks_D._Solved_and_unsolved_problems_in_number_theory.rar
Posted By: math007 | Date: 10 Nov 2007 02:56 | Comments: 4
Daniel Shanks, "Solved and unsolved problems in number theory"
Publisher: Chelsea Pub. Co | Pages: 258 | ISBN: 0828402973 | DjVu | 3 MB
The investigation of three problems, that of perfect numbers, that of periodic decimals, and that of Pythagorean numbers has given rise to much of elementary number theory, and the author shows how each result gives rise to further results and conjectures. He treats not only results and theorems ("solved problems") but also questions that are still open and conjectures ("unsolved problems"), making this a most exciting and unusual treatment. The author, a past editor of Mathematics of Computation, presents research done in the fifteen years between the first and second editions, with emphasis on results that were achieved with the aid of computers. The volume includes a substantial Bibliography.
http://rapidshare.com/files/68642407/Shanks_D._Solved_and_unsolved_problems_in_number_theory.rar
dedoda
Well-Known Member
Elementary Number Theory
Posted By: tot167 | Date: 17 Feb 2008 13:28 | Comments: 1
Gareth A. Jones, Josephine M. Jones " Elementary Number Theory"
Springer | 1998-07-31 | ISBN:3540761977 | 200 pages | Djvu | 4,2 Mb
This book gives an undergraduate-level introduction to Number Theory, with the emphasis on fully explained proofs and examples; exercises (with solutions) are integrated into the text. The first few chapters, covering divisibility, prime numbers and modular arithmetic, assume only basic school algebra, and are therefore suitable for first or second year students as an introduction to the methods of pure mathematics. Elementary ideas about groups and rings (summarised in an appendix) are then used to study groups of units, quadratic residues and arithmetic functions with applications to enumeration and cryptography. The final part, suitable for third-year students, uses ideas from algebra, analysis, calculus and geometry to study Dirichlet series and sums of squares; in particular, the last chapter gives a concise account of Fermat's Last Theorem, from its origin in the ancient Babylonian and Greek study of Pythagorean triples to its recent proof by Andrew Wiles.
http://depositfiles.com/en/files/3596959
Posted By: tot167 | Date: 17 Feb 2008 13:28 | Comments: 1
Gareth A. Jones, Josephine M. Jones " Elementary Number Theory"
Springer | 1998-07-31 | ISBN:3540761977 | 200 pages | Djvu | 4,2 Mb
This book gives an undergraduate-level introduction to Number Theory, with the emphasis on fully explained proofs and examples; exercises (with solutions) are integrated into the text. The first few chapters, covering divisibility, prime numbers and modular arithmetic, assume only basic school algebra, and are therefore suitable for first or second year students as an introduction to the methods of pure mathematics. Elementary ideas about groups and rings (summarised in an appendix) are then used to study groups of units, quadratic residues and arithmetic functions with applications to enumeration and cryptography. The final part, suitable for third-year students, uses ideas from algebra, analysis, calculus and geometry to study Dirichlet series and sums of squares; in particular, the last chapter gives a concise account of Fermat's Last Theorem, from its origin in the ancient Babylonian and Greek study of Pythagorean triples to its recent proof by Andrew Wiles.
http://depositfiles.com/en/files/3596959
dedoda
Well-Known Member
Elementary Number Theory
Posted By: tot167 | Date: 13 May 2008 09:47 | Comments: 1
Peter Hackman “Elementary Number Theory"
Linköpings universitet, Sweden | 2007 | ISBN: N/A | 411 pages | PDF | 1,19 Mb
Interesting and partly non-traditional book in elementary number theory for undergraduates in mathematics and computer science with some background in general algebra. A lot of material is included here, some topics are unusual. Autor “strongly advocate the use of computers as a means of generating and investigating examples” but he points that “this text is not conceived as a book on computational number theory”. Various original (more elegant and concise) proofs of theorems are presented in this book, found by the author himself…
Contents (chapters):
Preface
A Divisibility, Unique Factorization
B Congruences. The CRT (Chinese Remainder Theorem)
C Primitive Roots
D Quadratic Reciprocity
E Some Diophantine Problems
F Multiplicative Functions
G Continued Fractions
H “QCF” and Pell’s Equation
J Special Topics
K Z, Other Number Rings
L Primality and Factorization
Bibliography
Tables
http://depositfiles.com/en/files/3596959
Posted By: tot167 | Date: 13 May 2008 09:47 | Comments: 1
Peter Hackman “Elementary Number Theory"
Linköpings universitet, Sweden | 2007 | ISBN: N/A | 411 pages | PDF | 1,19 Mb
Interesting and partly non-traditional book in elementary number theory for undergraduates in mathematics and computer science with some background in general algebra. A lot of material is included here, some topics are unusual. Autor “strongly advocate the use of computers as a means of generating and investigating examples” but he points that “this text is not conceived as a book on computational number theory”. Various original (more elegant and concise) proofs of theorems are presented in this book, found by the author himself…
Contents (chapters):
Preface
A Divisibility, Unique Factorization
B Congruences. The CRT (Chinese Remainder Theorem)
C Primitive Roots
D Quadratic Reciprocity
E Some Diophantine Problems
F Multiplicative Functions
G Continued Fractions
H “QCF” and Pell’s Equation
J Special Topics
K Z, Other Number Rings
L Primality and Factorization
Bibliography
Tables
http://depositfiles.com/en/files/3596959
اهلين وسهلين
Well-Known Member
الله يفتح عليك ان شاالله
Elementary Number Theory, Group Theory and Ramanujan Graphs
(London Mathematical Society Student Texts)
(Paperback)
by Giuliana Davidoff (Author), Peter Sarnak (Author), Alain Valette
إقتباس:
(London Mathematical Society Student Texts)
(Paperback)
by Giuliana Davidoff (Author), Peter Sarnak (Author), Alain Valette
Summary
This text is a self-contained study of expander graphs, specifically, their explicit construction. Expander graphs are highly connected but sparse, and while being of interest within combinatorics and graph theory, they can also be applied to computer science and engineering. Only a knowledge of elementary algebra, analysis and combinatorics is required because the authors provide the necessary background from graph theory, number theory, group theory and representation theory. Thus the text can be used as a brief introduction to these subjects and their synthesis in modern mathematics.
This text is a self-contained study of expander graphs, specifically, their explicit construction. Expander graphs are highly connected but sparse, and while being of interest within combinatorics and graph theory, they can also be applied to computer science and engineering. Only a knowledge of elementary algebra, analysis and combinatorics is required because the authors provide the necessary background from graph theory, number theory, group theory and representation theory. Thus the text can be used as a brief introduction to these subjects and their synthesis in modern mathematics.
Product Description
This text provides a simple account of classical number theory, as well as some of the historical background in which the subject evolved. It is intended for use in a one-semester, undergraduate number theory course taken primarily by mathematics majors and students preparing to be secondary school teachers. Although the text was written with this audience in mind, very few formal prerequisites are required. Much of the text can be read by students with a sound background in high school mathematics.
This text provides a simple account of classical number theory, as well as some of the historical background in which the subject evolved. It is intended for use in a one-semester, undergraduate number theory course taken primarily by mathematics majors and students preparing to be secondary school teachers. Although the text was written with this audience in mind, very few formal prerequisites are required. Much of the text can be read by students with a sound background in high school mathematics.
Product Details
Hardcover: 432 pages
Publisher: McGraw-Hill Science/Engineering/Math; 5 edition
(July 19, 2001)
Language: English
ISBN-10: 0072325690
ISBN-13: 978-0072325690
Product Dimensions: 9.3 x 6.6 x 0.9 inches
Shipping Weight: 1.6 pounds
Publisher: McGraw-Hill Science/Engineering/Math; 5 edition
(July 19, 2001)
Language: English
ISBN-10: 0072325690
ISBN-13: 978-0072325690
Product Dimensions: 9.3 x 6.6 x 0.9 inches
Shipping Weight: 1.6 pounds
password: gigapedia.org
Product Description
Elementary Number Theory, Sixth Edition, is written for the one-semester undergraduate number theory course taken by math majors, secondary education majors, and computer science students. This contemporary text provides a simple account of classical number theory, set against a historical background that shows the subject's evolution from antiquity to recent research. Written in David Burton’s engaging style, Elementary Number Theory reveals the attraction that has drawn leading mathematicians and amateurs alike to number theory over the course of history.
Product Details
Elementary Number Theory, Sixth Edition, is written for the one-semester undergraduate number theory course taken by math majors, secondary education majors, and computer science students. This contemporary text provides a simple account of classical number theory, set against a historical background that shows the subject's evolution from antiquity to recent research. Written in David Burton’s engaging style, Elementary Number Theory reveals the attraction that has drawn leading mathematicians and amateurs alike to number theory over the course of history.
Product Details
Hardcover: 448 pages
Publisher: McGraw-Hill Science/Engineering/Math; 6 edition
(September 27, 2005)
Language: English
ISBN-10: 0073051888
ISBN-13: 978-0073051888
Product Dimensions: 9.3 x 6 x 0.9 inches
Shipping Weight: 1.6 pounds
Publisher: McGraw-Hill Science/Engineering/Math; 6 edition
(September 27, 2005)
Language: English
ISBN-10: 0073051888
ISBN-13: 978-0073051888
Product Dimensions: 9.3 x 6 x 0.9 inches
Shipping Weight: 1.6 pounds
Product Description
Elementary Methods in Number Theory begins with "a first course in number theory" for students with no previous knowledge of the subject. The main topics are divisibility, prime numbers, and congruences. There is also an introduction to Fourier analysis on finite abelian groups, and a discussion on the abc conjecture and its consequences in elementary number theory. In the second and third parts of the book, deep results in number theory are proved using only elementary methods. Part II is about multiplicative number theory, and includes two of the most famous results in mathematics: the Erdös-Selberg elementary proof of the prime number theorem, and Dirichlets theorem on primes in arithmetic progressions. Part III is an introduction to three classical topics in additive number theory: Warings problems for polynomials, Liouvilles method to determine the number of representations of an integer as the sum of an even number of squares, and the asymptotics of partition functions. Melvyn B. Nathanson is Professor of Mathematics at the City University of New York (Lehman College and the Graduate Center). He is the author of the two other graduate texts: Additive Number Theory: The Classical Bases and Additive Number Theory: Inverse Problems and the Geometry of Sumsets.
Book Info
Discusses divisibility, prime numbers, and congruences and provides an introduction to Fourier analysis on finite abelian groups. Discusses the abc conjecture and its consequences in elementary number theory. DLC: Number theory.
Product Details
Elementary Methods in Number Theory begins with "a first course in number theory" for students with no previous knowledge of the subject. The main topics are divisibility, prime numbers, and congruences. There is also an introduction to Fourier analysis on finite abelian groups, and a discussion on the abc conjecture and its consequences in elementary number theory. In the second and third parts of the book, deep results in number theory are proved using only elementary methods. Part II is about multiplicative number theory, and includes two of the most famous results in mathematics: the Erdös-Selberg elementary proof of the prime number theorem, and Dirichlets theorem on primes in arithmetic progressions. Part III is an introduction to three classical topics in additive number theory: Warings problems for polynomials, Liouvilles method to determine the number of representations of an integer as the sum of an even number of squares, and the asymptotics of partition functions. Melvyn B. Nathanson is Professor of Mathematics at the City University of New York (Lehman College and the Graduate Center). He is the author of the two other graduate texts: Additive Number Theory: The Classical Bases and Additive Number Theory: Inverse Problems and the Geometry of Sumsets.
Book Info
Discusses divisibility, prime numbers, and congruences and provides an introduction to Fourier analysis on finite abelian groups. Discusses the abc conjecture and its consequences in elementary number theory. DLC: Number theory.
Product Details
Hardcover: 440 pages
Publisher: Springer; 1 edition
(December 21, 1999)
Language: English
ISBN-10: 0387989129
ISBN-13: 978-0387989129
Product Dimensions: 9.4 x 6.4 x 1.6 inches
Shipping Weight: 2 pounds
pass: gigapedia.org
http://rapidshare.com/files/49735207/t02737.rar
(1839 KB)
Publisher: Springer; 1 edition
(December 21, 1999)
Language: English
ISBN-10: 0387989129
ISBN-13: 978-0387989129
Product Dimensions: 9.4 x 6.4 x 1.6 inches
Shipping Weight: 2 pounds
pass: gigapedia.org
http://rapidshare.com/files/49735207/t02737.rar
(1839 KB)
Elementary Number Theory in Nine Chapters, Second Edition
by James J. Tattersall
Editorial Reviews
by James J. Tattersall
Editorial Reviews
Review
"Every chapter has a remarkable collection of exercises of various degrees of difficulty and contains a wealth of historical information, which makes interesting reading." Mathematical Reviews
The book is easy to read...The feature of the book that pleased me the most is the number of problems that are included. Not only does each section end with a large selection of problems, but each chapter also carries a number of supplementary exercises.
Michele Intermont
Product Description
Intended to serve as a one-semester introductory course in number theory, this second edition has been revised throughout. In particular, the field of cryptography is highlighted. At the heart of the book are the major number theoretic accomplishments of Euclid, Fermat, Gauss, Legendre, and Euler. In addition, a wealth of new exercises have been included to fully illustrate the properties of numbers and concepts developed in the text. The book will serve as a stimulating introduction for students new to number theory, regardless of their background. First Edition Hb (1999) 0-521-58503-1 First Edition Pb (1999) 0-521-58531-7
See all Editorial Reviews
http://rapidshare.com/files/37591400/0521615240.rar
(2235 KB)
"Every chapter has a remarkable collection of exercises of various degrees of difficulty and contains a wealth of historical information, which makes interesting reading." Mathematical Reviews
The book is easy to read...The feature of the book that pleased me the most is the number of problems that are included. Not only does each section end with a large selection of problems, but each chapter also carries a number of supplementary exercises.
Michele Intermont
Product Description
Intended to serve as a one-semester introductory course in number theory, this second edition has been revised throughout. In particular, the field of cryptography is highlighted. At the heart of the book are the major number theoretic accomplishments of Euclid, Fermat, Gauss, Legendre, and Euler. In addition, a wealth of new exercises have been included to fully illustrate the properties of numbers and concepts developed in the text. The book will serve as a stimulating introduction for students new to number theory, regardless of their background. First Edition Hb (1999) 0-521-58503-1 First Edition Pb (1999) 0-521-58531-7
Product Details
Paperback: 442 pages
Publisher: Cambridge University Press; 2 edition
(July 25, 2005)
Language: English
ISBN-10: 0521615240
ISBN-13: 978-0521615242
Product Dimensions: 8.8 x 6 x 0.9 inches
Shipping Weight: 1.6 pounds
Publisher: Cambridge University Press; 2 edition
(July 25, 2005)
Language: English
ISBN-10: 0521615240
ISBN-13: 978-0521615242
Product Dimensions: 8.8 x 6 x 0.9 inches
Shipping Weight: 1.6 pounds
http://rapidshare.com/files/37591400/0521615240.rar
(2235 KB)
Product Description
This book is intended to serve as a one-semester introductory course in number theory. Throughout the book a historical perspective has been adopted and emphasis is given to some of the subject's applied aspects; in particular the field of cryptography is highlighted. At the heart of the book are the major number theoretic accomplishments of Euclid, Fermat, Gauss, Legendre, and Euler, and to fully illustrate the properties of numbers and concepts developed in the text, a wealth of exercises have been included. It is assumed that the reader will have 'pencil in hand' and ready access to a calculator or computer. For students new to number theory, whatever their background, this is a stimulating and entertaining introduction to the subject.
Download Description
This book is intended to serve as a one-semester introductory course in number theory. Throughout the book a historical perspective has been adopted and emphasis is given to some of the subject's applied aspects; in particular the field of cryptography is highlighted. At the heart of the book are the major number theoretic accomplishments of Euclid, Fermat, Gauss, Legendre, and Euler, and to fully illustrate the properties of numbers and concepts developed in the text, a wealth of exercises have been included. It is assumed that the reader will have 'pencil in hand' and ready access to a calculator or computer. For students new to number theory, whatever their background, this is a stimulating and entertaining introduction to the subject.
Product Details
This book is intended to serve as a one-semester introductory course in number theory. Throughout the book a historical perspective has been adopted and emphasis is given to some of the subject's applied aspects; in particular the field of cryptography is highlighted. At the heart of the book are the major number theoretic accomplishments of Euclid, Fermat, Gauss, Legendre, and Euler, and to fully illustrate the properties of numbers and concepts developed in the text, a wealth of exercises have been included. It is assumed that the reader will have 'pencil in hand' and ready access to a calculator or computer. For students new to number theory, whatever their background, this is a stimulating and entertaining introduction to the subject.
Download Description
This book is intended to serve as a one-semester introductory course in number theory. Throughout the book a historical perspective has been adopted and emphasis is given to some of the subject's applied aspects; in particular the field of cryptography is highlighted. At the heart of the book are the major number theoretic accomplishments of Euclid, Fermat, Gauss, Legendre, and Euler, and to fully illustrate the properties of numbers and concepts developed in the text, a wealth of exercises have been included. It is assumed that the reader will have 'pencil in hand' and ready access to a calculator or computer. For students new to number theory, whatever their background, this is a stimulating and entertaining introduction to the subject.
Product Details
Paperback: 416 pages
Publisher: Cambridge University Press
(October 28, 1999)
Language: English
ISBN-10: 0521585317
ISBN-13: 978-0521585316
Product Dimensions: 9 x 6 x 0.9 inches
Shipping Weight: 1.3 pounds
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Publisher: Cambridge University Press
(October 28, 1999)
Language: English
ISBN-10: 0521585317
ISBN-13: 978-0521585316
Product Dimensions: 9 x 6 x 0.9 inches
Shipping Weight: 1.3 pounds
http://rapidshare.com/files/10361833/Tattersall.pdf
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Analytic and Elementary Number Theory: A Tribute to Mathematical Legend Paul Erdos
(Developments in Mathematics)
by Krishnaswami Alladi (Author), P.D.T.A. Elliott (Author), A. Granville (Author), G. Tenenbaum
Editorial Reviews
(Developments in Mathematics)
by Krishnaswami Alladi (Author), P.D.T.A. Elliott (Author), A. Granville (Author), G. Tenenbaum
Editorial Reviews
Product Description
This volume contains a collection of papers in Analytic and Elementary Number Theory in memory of Professor Paul Erdös, one of the greatest mathematicians of this century. Written by many leading researchers, the papers deal with the most recent advances in a wide variety of topics, including arithmetical functions, prime numbers, the Riemann zeta function, probabilistic number theory, properties of integer sequences, modular forms, partitions, and q-series.
Audience: Researchers and students of number theory, analysis, combinatorics and modular forms will find this volume to be stimulating.
Product Details
This volume contains a collection of papers in Analytic and Elementary Number Theory in memory of Professor Paul Erdös, one of the greatest mathematicians of this century. Written by many leading researchers, the papers deal with the most recent advances in a wide variety of topics, including arithmetical functions, prime numbers, the Riemann zeta function, probabilistic number theory, properties of integer sequences, modular forms, partitions, and q-series.
Audience: Researchers and students of number theory, analysis, combinatorics and modular forms will find this volume to be stimulating.
Product Details
Hardcover: 304 pages
Publisher: Springer
(September 30, 199
Language: English
ISBN-10: 0792382730
ISBN-13: 978-0792382737
Product Dimensions: 9.5 x 6.2 x 0.7 inches
Shipping Weight: 1.4 pounds
http://rapidshare.com/files/42423062...0792382730_.7z
(7175 KB)
Publisher: Springer
(September 30, 199
Language: English
ISBN-10: 0792382730
ISBN-13: 978-0792382737
Product Dimensions: 9.5 x 6.2 x 0.7 inches
Shipping Weight: 1.4 pounds
http://rapidshare.com/files/42423062...0792382730_.7z
(7175 KB)
Elementary Number Theory, Group Theory and Ramanujan Graphs
(London Mathematical Society Student Texts)
by Giuliana Davidoff (Author), Peter Sarnak (Author), Alain Valette
Editorial Reviews
(London Mathematical Society Student Texts)
by Giuliana Davidoff (Author), Peter Sarnak (Author), Alain Valette
Editorial Reviews
Review
"It would make a great text for an honors or senior seminar, showing how elegantly many different areas of mathematics come together to solve a very concrete problem of broad interest and application." Mathematical Reviews
"...a well written and stimulating book." MAA Online Book Review
Product Description
This text is a self-contained study of expander graphs, specifically, their explicit construction. Expander graphs are highly connected but sparse, and while being of interest within combinatorics and graph theory, they can also be applied to computer science and engineering. Only a knowledge of elementary algebra, analysis and combinatorics is required because the authors provide the necessary background from graph theory, number theory, group theory and representation theory. Thus the text can be used as a brief introduction to these subjects and their synthesis in modern mathematics.
See all Editorial Reviews
Product Details
"It would make a great text for an honors or senior seminar, showing how elegantly many different areas of mathematics come together to solve a very concrete problem of broad interest and application." Mathematical Reviews
"...a well written and stimulating book." MAA Online Book Review
Product Description
This text is a self-contained study of expander graphs, specifically, their explicit construction. Expander graphs are highly connected but sparse, and while being of interest within combinatorics and graph theory, they can also be applied to computer science and engineering. Only a knowledge of elementary algebra, analysis and combinatorics is required because the authors provide the necessary background from graph theory, number theory, group theory and representation theory. Thus the text can be used as a brief introduction to these subjects and their synthesis in modern mathematics.
Product Details
Paperback: 154 pages
Publisher: Cambridge University Press
(January 20, 2003)
Language: English
ISBN-10: 0521531438
ISBN-13: 978-0521531436
Product Dimensions: 8.7 x 6 x 0.4 inches
Shipping Weight: 2.4 ounces
http://www2.unine.ch/webdav/site/math/shared/documents/articles/valette22-04-02.pdf
Publisher: Cambridge University Press
(January 20, 2003)
Language: English
ISBN-10: 0521531438
ISBN-13: 978-0521531436
Product Dimensions: 8.7 x 6 x 0.4 inches
Shipping Weight: 2.4 ounces
http://www2.unine.ch/webdav/site/math/shared/documents/articles/valette22-04-02.pdf
Elementary Number Theory, Group Theory and Ramanujan Graphs
(London Mathematical Society Student Texts)
(Paperback)
by Giuliana Davidoff (Author), Peter Sarnak (Author), Alain Valette
Elementary Methods in Number Theory
by Melvyn B. Nathanson
http://rapidshare.com/files/49735207/t02737.rar
(1839 KB)
by James J. Tattersall
http://rapidshare.com/files/37591400/0521615240.rar
(2235 KB)
Elementary Number Theory in Nine Chapters
by James J. Tattersall
http://rapidshare.com/files/10361833/Tattersall.pdf
(2737 KB)
Elementary Number Theory, Group Theory and Ramanujan Graphs
(London Mathematical Society Student Texts)
by Giuliana Davidoff (Author), Peter Sarnak (Author), Alain Valette
http://www2.unine.ch/webdav/site/math/shared/documents/articles/valette22-04-02.pdf
Analytic and Elementary Number Theory: A Tribute to Mathematical Legend Paul Erdos
(Developments in Mathematics)
by Krishnaswami Alladi (Author), P.D.T.A. Elliott (Author), A. Granville (Author), G. Tenenbaum
Editorial Reviews
http://rapidshare.com/files/42423062...0792382730_.7z
by Krishnaswami Alladi (Author), P.D.T.A. Elliott (Author), A. Granville (Author), G. Tenenbaum
Editorial Reviews
http://rapidshare.com/files/42423062...0792382730_.7z
(7175 KB)
Elementary Number Theory
(Hardcover)
by David M. Burton
Elementary Number Theory
(Hardcover)
by David M. Burton
Editorial Reviews
New link for all books above from here
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