Carus Mathematical Monographs
Encyclopedia
The Carus Mathematical Monographs is a monograph series published by the Mathematical Association of America
. Books in this series are intended to appeal to a wide range of readers in mathematics
and science
. While the books are intended to cover nontrivial material, the emphasis is on exposition and clear communication rather than novel results and a systematic Bourbaki-style presentation.
The webpage for the series contains the following official statement:
Many of the books in the series have become classics in the genre of general mathematical exposition.
Mathematical Association of America
The Mathematical Association of America is a professional society that focuses on mathematics accessible at the undergraduate level. Members include university, college, and high school teachers; graduate and undergraduate students; pure and applied mathematicians; computer scientists;...
. Books in this series are intended to appeal to a wide range of readers in mathematics
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...
and science
Science
Science is a systematic enterprise that builds and organizes knowledge in the form of testable explanations and predictions about the universe...
. While the books are intended to cover nontrivial material, the emphasis is on exposition and clear communication rather than novel results and a systematic Bourbaki-style presentation.
The webpage for the series contains the following official statement:
- The exposition of mathematical subjects that the monographs contain are set forth in a manner comprehensible not only to teachers and students specializing in mathematics, but also to scientific workers in other fields. More generally, the monographs are intended for the wide circle of thoughtful people familiar with basic graduate or advanced undergraduate mathematics encountered in the study of mathematics itself or in the context of related disciplines who wish to extend their knowledge without prolonged and critical study of the mathematical journals and treatises.
Many of the books in the series have become classics in the genre of general mathematical exposition.
Series listing
- Calculus of Variations, by G. A. Bliss (out of print)
- Analytic Functions of a Complex Variable, by D. R. Curtiss (out of print)
- Mathematical Statistics, by H. L. Rietz (out of print)
- Projective Geometry, by J. W. Young (out of print)
- A History of Mathematics in America before 1900, by D. E. Smith and Jekuthiel GinsburgJekuthiel GinsburgJekuthiel Ginsburg was professor of mathematics at Yeshiva University. He established the journal Scripta Mathematica. He also was honored as a fellow of the New York Academy of Sciences.-References:.....
(out of print) - Fourier Series and Orthogonal Polynomials, by Dunham JacksonDunham JacksonDunham Jackson was a mathematician who worked within approximation theory, notably with trigonometrical and orthogonal polynomials. He is known for Jackson's inequality. He was awarded the Chauvenet Prize in 1935...
(out of print) - Vectors and Matrices, by C. C. MacDuffee (out of print)
- Rings and Ideals, by N. H. McCoy (out of print)
- The Theory of Algebraic Numbers, second edition, by Harry PollardHarry PollardHarry Pollard may refer to:*Harry A. Pollard , American silent film actor director, and screenwriter*Harry Pollard , best known as Snub Pollard, Australian-born silent movie comedian...
and Harold G. Diamond - The Arithmetic Theory of Quadratic Forms, by B. W. Jones (out of print)
- Irrational Numbers, by Ivan Niven
- Statistical Independence in Probability, Analysis and Number Theory, by Mark KacMark KacMark Kac was a Polish mathematician. His main interest was probability theory. His question, "Can one hear the shape of a drum?" set off research into spectral theory, with the idea of understanding the extent to which the spectrum allows one to read back the geometry. Kac completed his Ph.D...
- A Primer of Real Functions, third edition, by Ralph P Boas, Jr.
- Combinatorial Mathematics, by Herbert J. Ryser ISBN 0-88385-014-1
- Noncommutative Rings, by I. N. Herstein (out of print) ISBN 0-88385-015-X
- Dedekind Sums, by Hans RademacherHans RademacherHans Adolph Rademacher was a German mathematician, known for work in mathematical analysis and number theory.-Biography:...
and Emil GrosswaldEmil GrosswaldEmil Grosswald was a Romanian-American mathematician who worked primarily in number theory. His career is closely associated with that of his teacher, Hans Rademacher.- Life and education :...
(out of print) - The Schwarz Function and its Applications, by Philip J. DavisPhilip J. DavisPhilip J. Davis is an American applied mathematician.Davis was born in Lawrence, Massachusetts. He is known for his work in numerical analysis and approximation theory, as well as his investigations in the history and philosophy of mathematics...
- Celestial Mechanics, by Harry PollardHarry PollardHarry Pollard may refer to:*Harry A. Pollard , American silent film actor director, and screenwriter*Harry Pollard , best known as Snub Pollard, Australian-born silent movie comedian...
(out of print) - Field Theory and its Classical Problems, by Charles Robert Hadlock
- The Generalized Riemann Integral, by Robert M. McLeod (out of print)
- From Error-Correcting Codes through Sphere Packings to Simple Groups, by Thomas M. Thompson
- Random Walks and Electric Networks, by Peter G. Doyle and J. Laurie Snell
- Complex Analysis: The Geometric Viewpoint, by Steven G. KrantzSteven G. KrantzSteven G. Krantz is an American mathematician of Hungarian,Austrian, French, and Sicilian descent who teaches at Washington University in St. Louis. He is Editor-in-Chief of the Notices of the American Mathematical Society for the period...
- Knot Theory, by Charles LivingstonCharles Livingston-References:...
- Algebra and Tiling: Homomorphisms in the Service of Geometry, by Sherman Stein and Sándor SzabóSandor SzaboSandor Szabo was a Hungarian professional wrestler of the mid-twentieth century. At first, due to his large size, he was promoted by Jack Pfefer and Jack Curley of New York City as a "freak talent", one of a number of foreign and extraordinary wrestlers booked to attract the curious. In the early...
- The Sensual (Quadratic) Form, by John H. Conway assisted by Francis Y. C. Fung
- A Panorama of Harmonic Analysis, by Steven G. KrantzSteven G. KrantzSteven G. Krantz is an American mathematician of Hungarian,Austrian, French, and Sicilian descent who teaches at Washington University in St. Louis. He is Editor-in-Chief of the Notices of the American Mathematical Society for the period...
External links
- Carus Mathematical Monographs via Mathematical Association of AmericaMathematical Association of AmericaThe Mathematical Association of America is a professional society that focuses on mathematics accessible at the undergraduate level. Members include university, college, and high school teachers; graduate and undergraduate students; pure and applied mathematicians; computer scientists;...
- Carus Mathematical Monographs via Internet ArchiveInternet ArchiveThe Internet Archive is a non-profit digital library with the stated mission of "universal access to all knowledge". It offers permanent storage and access to collections of digitized materials, including websites, music, moving images, and nearly 3 million public domain books. The Internet Archive...