Niven, Ivan 19151999
Overview
Works:  47 works in 407 publications in 9 languages and 12,769 library holdings 

Genres:  Educational films Short films Filmed lectures Nonfiction films Fiction 
Roles:  Author 
Classifications:  QA241, 512.81 
Publication Timeline
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Most widely held works by
Ivan Niven
An introduction to the theory of numbers by
Ivan Niven(
Book
)
99 editions published between 1960 and 2000 in 4 languages and held by 2,667 WorldCat member libraries worldwide
Publisher Description (unedited publisher data) The Fifth Edition of one of the standard works on number theory, written by internationallyrecognized mathematicians. Chapters are relatively selfcontained for greater flexibility. New features include expanded treatment of the binomial theorem, techniques of numerical calculation and a section on public key cryptography. Contains an outstanding set of problems
99 editions published between 1960 and 2000 in 4 languages and held by 2,667 WorldCat member libraries worldwide
Publisher Description (unedited publisher data) The Fifth Edition of one of the standard works on number theory, written by internationallyrecognized mathematicians. Chapters are relatively selfcontained for greater flexibility. New features include expanded treatment of the binomial theorem, techniques of numerical calculation and a section on public key cryptography. Contains an outstanding set of problems
Numbers: rational and irrational by
Ivan Niven(
Book
)
68 editions published between 1961 and 2014 in 6 languages and held by 1,588 WorldCat member libraries worldwide
Selfstudy guide on the classification of numbers and the standards used to determine whether a number is rational or irrational
68 editions published between 1961 and 2014 in 6 languages and held by 1,588 WorldCat member libraries worldwide
Selfstudy guide on the classification of numbers and the standards used to determine whether a number is rational or irrational
Irrational numbers by
Ivan Niven(
Book
)
49 editions published between 1955 and 2014 in English and Undetermined and held by 1,332 WorldCat member libraries worldwide
In this monograph, Ivan Niven, provides a masterful exposition of some central results on irrational, transcendental, and normal numbers. He gives a complete treatment by elementary methods of the irrationality of the exponential, logarithmic, and trigonometric functions with rational arguments. The approximation of irrational numbers by rationals, up to such results as the best possible approximation of Hurwitz, is also given with elementary techniques. The last third of the monograph treats normal and transcendental numbers, including the transcendence of p and its generalization in the Lindermann theorem, and the GelfondSchneider theorem. Most of the material in the first twothirds of the book presupposes only calculus and beginning number theory. The book is almost wholly selfcontained. The results needed from analysis and algebra are central, and wellknown theorems, and complete references to standard works are given to help the beginner. The chapters are for the most part independent. There is a set of notes at the end of each chapter citing the main sources used by the author, and suggesting further readings
49 editions published between 1955 and 2014 in English and Undetermined and held by 1,332 WorldCat member libraries worldwide
In this monograph, Ivan Niven, provides a masterful exposition of some central results on irrational, transcendental, and normal numbers. He gives a complete treatment by elementary methods of the irrationality of the exponential, logarithmic, and trigonometric functions with rational arguments. The approximation of irrational numbers by rationals, up to such results as the best possible approximation of Hurwitz, is also given with elementary techniques. The last third of the monograph treats normal and transcendental numbers, including the transcendence of p and its generalization in the Lindermann theorem, and the GelfondSchneider theorem. Most of the material in the first twothirds of the book presupposes only calculus and beginning number theory. The book is almost wholly selfcontained. The results needed from analysis and algebra are central, and wellknown theorems, and complete references to standard works are given to help the beginner. The chapters are for the most part independent. There is a set of notes at the end of each chapter citing the main sources used by the author, and suggesting further readings
Mathematics of choice : or, How to count without counting by
Ivan Niven(
Book
)
41 editions published between 1965 and 2012 in English and Undetermined and held by 1,289 WorldCat member libraries worldwide
41 editions published between 1965 and 2012 in English and Undetermined and held by 1,289 WorldCat member libraries worldwide
Maxima and minima without calculus by
Ivan Niven(
Book
)
17 editions published between 1981 and 2006 in English and held by 848 WorldCat member libraries worldwide
17 editions published between 1981 and 2006 in English and held by 848 WorldCat member libraries worldwide
Diophantine approximations by
Ivan Niven(
Book
)
29 editions published between 1963 and 2013 in 3 languages and held by 553 WorldCat member libraries worldwide
This selfcontained treatment originated as a series of lectures delivered to the Mathematical Association of America. It covers basic results on homogeneous approximation of real numbers; the analogue for complex numbers; basic results for nonhomogeneous approximation in the real case; the analogue for complex numbers; and fundamental properties of the multiples of an irrational number, for both the fractional and integral parts. The author refrains from the use of continuous fractions and includes basic results in the complex case, a feature often neglected in favor of the real number discussion. Each chapter concludes with a bibliographic account of closely related work; these sections also contain the sources from which the proofs are drawn
29 editions published between 1963 and 2013 in 3 languages and held by 553 WorldCat member libraries worldwide
This selfcontained treatment originated as a series of lectures delivered to the Mathematical Association of America. It covers basic results on homogeneous approximation of real numbers; the analogue for complex numbers; basic results for nonhomogeneous approximation in the real case; the analogue for complex numbers; and fundamental properties of the multiples of an irrational number, for both the fractional and integral parts. The author refrains from the use of continuous fractions and includes basic results in the complex case, a feature often neglected in favor of the real number discussion. Each chapter concludes with a bibliographic account of closely related work; these sections also contain the sources from which the proofs are drawn
Calculus; an introductory approach by
Ivan Niven(
Book
)
22 editions published between 1961 and 1968 in English and Undetermined and held by 448 WorldCat member libraries worldwide
22 editions published between 1961 and 1968 in English and Undetermined and held by 448 WorldCat member libraries worldwide
Mathematics : a house built on sand? by
Ivan Niven(
Book
)
3 editions published in 1959 in English and held by 91 WorldCat member libraries worldwide
3 editions published in 1959 in English and held by 91 WorldCat member libraries worldwide
Einführung in die Zahlentheorie by
Ivan Niven(
Book
)
7 editions published between 1976 and 1991 in German and held by 61 WorldCat member libraries worldwide
7 editions published between 1976 and 1991 in German and held by 61 WorldCat member libraries worldwide
Numeri razionali e numeri irrazionali by
Ivan Niven(
Book
)
6 editions published between 1965 and 1985 in Italian and held by 41 WorldCat member libraries worldwide
6 editions published between 1965 and 1985 in Italian and held by 41 WorldCat member libraries worldwide
Premières notions de probabilité et analyse combinatoire les mathématiques du choix by
Ivan Niven(
Book
)
9 editions published in 1970 in French and held by 38 WorldCat member libraries worldwide
9 editions published in 1970 in French and held by 38 WorldCat member libraries worldwide
Einführung in die Zahlentheorie by
Ivan Niven(
Book
)
4 editions published between 1976 and 1987 in German and held by 38 WorldCat member libraries worldwide
4 editions published between 1976 and 1987 in German and held by 38 WorldCat member libraries worldwide
Problems for all seasons by
Ivan Niven(
Visual
)
3 editions published between 1990 and 1991 in English and held by 29 WorldCat member libraries worldwide
"Several problems are presented here, each with something strange or unusual about it."Container
3 editions published between 1990 and 1991 in English and held by 29 WorldCat member libraries worldwide
"Several problems are presented here, each with something strange or unusual about it."Container
A Waring problem by
Ivan Niven(
Book
)
5 editions published between 1938 and 1939 in English and held by 26 WorldCat member libraries worldwide
5 editions published between 1938 and 1939 in English and held by 26 WorldCat member libraries worldwide
Einführung in die Zahlentheorie by
Ivan Niven(
Book
)
3 editions published between 1976 and 1987 in German and held by 16 WorldCat member libraries worldwide
3 editions published between 1976 and 1987 in German and held by 16 WorldCat member libraries worldwide
Xuan ze de shu xue : ji suan bu yong yi ge yi ge shu by
Wen Ni(
Book
)
1 edition published in 2004 in Chinese and held by 12 WorldCat member libraries worldwide
1 edition published in 2004 in Chinese and held by 12 WorldCat member libraries worldwide
Te bie shu xue (ru he xiao er bu ji?) by
Wen Ni(
Book
)
5 editions published between 1969 and 1974 in Chinese and held by 11 WorldCat member libraries worldwide
5 editions published between 1969 and 1974 in Chinese and held by 11 WorldCat member libraries worldwide
Numeri razionali e numeri irrazionali by
Ivan Niven(
Book
)
1 edition published in 1973 in Italian and held by 7 WorldCat member libraries worldwide
1 edition published in 1973 in Italian and held by 7 WorldCat member libraries worldwide
Introduction to the theory of numbers, 5th rev. ed. (pbk) by
Ivan Niven(
Book
)
1 edition published in 1991 in English and held by 6 WorldCat member libraries worldwide
1 edition published in 1991 in English and held by 6 WorldCat member libraries worldwide
Reella tal : matematikens centrala talsystem by
Ivan Niven(
Book
)
2 editions published in 1965 in Swedish and held by 5 WorldCat member libraries worldwide
2 editions published in 1965 in Swedish and held by 5 WorldCat member libraries worldwide
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Alternative Names
Ivan M. Niven Canadees wiskundige (19151999)
Ivan M. Niven CanadianAmerican number theorist (1915–1999)
Ivan M. Niven USamerikanischkanadischer Mathematiker
Ivan Morton Niven
Ivan Niven
Niven, Ajven.
Niven, I.
Niven, I. 19151999
Niven, I. (Ivan), 19151999
Niven, I. M
Niven, Ivan.
Niven, Ivan 1915
Niven, Ivan 19151999
Niven, Ivan M. 19151999
Niven, Ivan Morton
Niven, Ivan Morton 1915
Niven, Ivan Morton 19151999
Нивен, Айвен
إيفان إم. نيفن
イヴァン・ニーベン
ニーベン, I
伊萬·尼雲
Languages
English
(295)
German (20)
Spanish (11)
French (9)
Chinese (9)
Italian (8)
Russian (5)
Turkish (2)
Swedish (2)
German (20)
Spanish (11)
French (9)
Chinese (9)
Italian (8)
Russian (5)
Turkish (2)
Swedish (2)
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