Ivan M. Niven
#21,199
Most Influential Person Now
Canadian-American number theorist
Ivan M. Niven's AcademicInfluence.com Rankings
Ivan M. Nivenmathematics Degrees
Mathematics
#1632
World Rank
#2633
Historical Rank
Number Theory
#77
World Rank
#110
Historical Rank
Measure Theory
#1102
World Rank
#1416
Historical Rank
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Mathematics
Ivan M. Niven's Degrees
- PhD Mathematics University of Chicago
- Masters Mathematics University of Chicago
Why Is Ivan M. Niven Influential?
(Suggest an Edit or Addition)According to Wikipedia, Ivan Morton Niven was a Canadian-American mathematician, specializing in number theory and known for his work on Waring's problem. He worked for many years as a professor at the University of Oregon, and was president of the Mathematical Association of America. He was the author of several books on mathematics.
Ivan M. Niven's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- An introduction to the theory of numbers (1961) (451)
- Equations in Quaternions (1941) (163)
- The “fundamental theorem of algebra” for quaternions (1944) (142)
- Formal Power Series (1969) (75)
- Uniform distribution of sequences of integers (1961) (71)
- The Roots of a Quaternion (1942) (63)
- Numbers: rational and irrational (1961) (63)
- Maxima and minima without calculus (1981) (62)
- The asymptotic density of sequences (1951) (51)
- Note on a Paper by L. S. Johnston (1948) (50)
- Conditions for a Zero Sum Modulo n (1975) (50)
- On the definition of normal numbers (1951) (47)
- A Simple Proof that π is Irrational (2000) (41)
- Averages on the Move (1985) (39)
- Fermat’s theorem for matrices (1948) (34)
- A simple proof that $\pi$ is irrational (1947) (32)
- Some properties of partial sums of the harmonic series (1946) (32)
- Irrational Numbers: THE GENERALIZED LINDEMANN THEOREM (1956) (30)
- Integers of quadratic fields as sums of squares (1940) (28)
- Lattice Points and Polygonal Area (1967) (22)
- Convex Polygons That Cannot Tile the Plane (1978) (22)
- A generalization of Fermat’s theorem (1957) (20)
- On a Certain Partition Function (1940) (20)
- Averages of exponents in factoring integers (1969) (17)
- Mathematics of Choice (1968) (16)
- Unique factorization in multiplicative systems (1954) (13)
- A New Proof of Routh's Theorem (1976) (13)
- Coding Theory Applied to a Problem of Ulam (1988) (12)
- A characterization of complementing sets of pairs of integers (1971) (12)
- THE AVERAGE FIRST-RECURRENCE TIME (1959) (9)
- The Transcendence of π (1939) (9)
- Lattice Point Coverings by Plane Figures (1967) (8)
- Functions which represent prime numbers (1951) (8)
- An introduction to the theory of numbers / Ivan Niven, Herbert S. Zuckermann, Hugh L. Montgomery (1962) (7)
- Extension of a Topological Proof of the Fundamental Theorem of Algebra (1950) (7)
- On the roots of a polynomial and its derivative (1948) (6)
- Proceedings of the International Symposium on Algebraic Number Theory (1957) (6)
- A Proof of the Divergence of σ1/p (1971) (6)
- Quadratic Diophantine equations in the rational and quadratic fields (1942) (6)
- A Method of Establishing Certain Irrationalities (1964) (6)
- Fields defined by polynomials. (1964) (5)
- Primes in Certain Arithmetic Progressions (1976) (5)
- A note on the number theory of quaternions (1946) (5)
- Lattice points in regions (1967) (5)
- The probability that a determinant be congruent to $a\left( {\bmod m} \right)$ (1944) (5)
- The α+β Hypothesis and Related Problems (1946) (5)
- An Unsolved Case of the Waring Problem (1944) (5)
- The Iteration of Certain Arithmetic Functions (1950) (4)
- Mathematics of choice or How to Count Without Counting: Mathematical Induction (1965) (4)
- On certain variations of the harmonic series (1945) (4)
- The Lattice Point Covering Theorem for Rectangles (1969) (4)
- On Certain Sequences (1969) (4)
- Sums of Sets of Integers. (1969) (3)
- Numbers: Rational and Irrational: Proof That There Are Infinitely Many Prime Numbers (1961) (3)
- Elementary Problems: E2932, E2956-E2961 (1982) (3)
- Mathematical People-Profiles and Interviews (1986) (3)
- Sums of $n$-th powers of quadratic integers (1941) (2)
- The Pell equation in quadratic fields (1943) (2)
- A remark on one-sided approximation (1961) (2)
- Calculus: An Introductory Approach. (1962) (2)
- Mathematics of choice or How to Count Without Counting: Partitions of an Integer (1965) (1)
- THE APRIL MEETING IN BERKELEY (2007) (1)
- A Collection of Papers in Memory of Sir William Rowan Hamilton. (1949) (1)
- Mathematics of choice or How to Count Without Counting: Frontmatter (1965) (1)
- Sums of fourth powers of Gaussian integers (1941) (1)
- A Class of Algebraic Integers (1951) (1)
- On asymmetric Diophantine approximations. (1962) (1)
- THE PROBABILITY THAT A DETERMINANT BE CONGRUENT (2007) (1)
- New Mathematical Library.@@@Numbers: Rational and Irrational.@@@What is Calculus About?@@@An Introduction to Inequalities.@@@Geometric Inequalities.@@@The Contest Problems Book.@@@The Lore of Large Numbers. (1962) (1)
- Conference on the Committee on the Undergraduate Program (1959) (1)
- Yueh-Gin Gung and Dr. Charles Y. Hu Award for Distinguished Service to Anneli Lax (1995) (1)
- Numbers: Rational and Irrational: Irrational Numbers (1961) (1)
- Book Reviews: Mathematics for Everyman. From Simple Numbers to the Calculus. Egmont Colerus (1957) (1)
- Minkowski’s theorem on nonhomogeneous approximation (1961) (1)
- Numbers: Rational and Irrational: The Existence of Transcendental Numbers (1961) (0)
- Mathematics for Everyman . From Simple Numbers to the Calculus. Egmont Colerus. Translated by B. C. and H. F. Brookes. Emerson, New York, 1957. xi + 255 pp. Illus. $3.95. (1957) (0)
- Problems for Solution: E561-E565 (1943) (0)
- THE MAY MEETING IN FRESNO (2007) (0)
- On Elliptic Integral (1943) (0)
- Mathematics of choice or How to Count Without Counting: Interpretations of a Non-Associative Product (1965) (0)
- Correction for “Lattice Point Coverings by Plane Figures” (1967) (0)
- THE a+/3 HYPOTHESIS AND RELATED PROBLEMS (2002) (0)
- THE JUNE MEETING IN EUGENE The four hundred eight-second meeting of the American Mathe- (2007) (0)
- Higher Algebra: A Sequel to "Higher Algebra for Schools." W. L. Ferrar. Oxford, Engl.: Clarendon Press; New York: Oxford Univ. Press, 1948. Pp. vii +320. $5.00. (1948) (0)
- Award for Distinguished Service to Leon Henkin (1990) (0)
- Mathematics of choice or How to Count Without Counting: The Inclusion-Exclusion Principle; Probability (1965) (0)
- Mathematics of choice or How to Count Without Counting: Generating Polynomials (1965) (0)
- Discussions and Notes (1943) (0)
- Book Review: Continued fractions (1994) (0)
- Aspects Of Calculus (1957) (0)
- THE MAY MEETING IN FRESNO The four hundred eighty-first meeting of the American Mathe- (2007) (0)
- Two Observations Concerning Algebraic Equations for Matrices (1943) (0)
- Note on the Path of a Projectile (1950) (0)
- Mathematics of choice or How to Count Without Counting: Answers and Solutions (1965) (0)
- THE MAY MEETING IN PALO ALTO (2007) (0)
- Numbers: Rational and Irrational: Trigonometric Numbers (1961) (0)
- Mathematics of choice or How to Count Without Counting: Some Special Distributions (1965) (0)
- An Ellipse Problem Beyond the Reach of Calculus (1979) (0)
- Numbers: Rational and Irrational: Proof of the Fundamental Theorem of Arithmetic (1961) (0)
- Which is Larger, e to the pi or pi to the e. (1972) (0)
- THE MAY MEETING IN YOSEMITE The five hundred third meeting of the American Mathematical (2007) (0)
- Mathematics of choice or How to Count Without Counting: Distribution of Objects Not All Alike (1965) (0)
- On the error term in interpolation formulas (1953) (0)
- Numbers: Rational and Irrational: The Approximation of Irrationals by Rationals (1961) (0)
- Numbers: Rational and Irrational: Trigonometric and Logarithmic Numbers (1961) (0)
- Mathematics of choice or How to Count Without Counting: Configuration Problems (1965) (0)
- Mathematics of choice or How to Count Without Counting: Introductory Questions (1965) (0)
- Mathematics of choice or How to Count Without Counting: Bibliography (1965) (0)
- Mathematics of choice or How to Count Without Counting: Preface (1965) (0)
- Award for Distinguished Service to Professor Edwin F. Beckenbach (1983) (0)
- Numbers: Rational and Irrational: Cantor's Proof of the Existence of Transcendental Numbers (1961) (0)
- Mathematics: Linear Algebra . Paul C. Shields. Addison-Wesley, Reading, Mass., 1964. xii + 288 pp. Illus. $7.50. (1964) (0)
- Numbers: Rational and Irrational: Real Numbers (1961) (0)
- Mathematics of choice or How to Count Without Counting: Combinations and Binomial Coefficients (1965) (0)
- Mathematical Pearls: Minkowski's Theorem on Nonhomogeneous Approximation (1961) (0)
- A Problem Seminar. By Donald J. Newman (1985) (0)
- Elementary Problems: E2623-E2628 (1976) (0)
- Over 600 people registered for the meeting , including the following 409 members of the Society : (2007) (0)
- Numbers: Rational and Irrational: Natural Numbers and Integers (1961) (0)
- Linear Algebra. Paul C. Shields. Addison-Wesley, Reading, Mass., 1964. xii + 288 pp. Illus. $7.50 (1964) (0)
- James : On the sieve method of Viggo Brun (2007) (0)
- Numbers: Rational and Irrational: Preface to the Tenth Printing (1961) (0)
- Excerpts from Ivan’s Commandments to Himself (1999) (0)
- The division transformation for matric polynomials with special reference to the quartic case (1936) (0)
- Numbers: Rational and Irrational: Answers and Suggestions to Selected Problems (1961) (0)
- Mathematics of choice or How to Count Without Counting: MATHEMATICS OF CHOICE or HOW TO COUNT WITHOUT COUNTING (1965) (0)
- Problems for Solution: E1266-E1270 (1957) (0)
- Mathematics of choice or How to Count Without Counting: Permutations and Combinations (1965) (0)
- Mathematics of choice or How to Count Without Counting: Miscellaneous Problems (1965) (0)
- Special Mathematical Topics (1983) (0)
- Numbers: Rational and Irrational: Introduction (1961) (0)
- THE SUMMER MEETING IN BOULDER (2007) (0)
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