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› Find signed collectible books: 'Collected Papers of Hans Rademacher (Mathematicians of Our Time'
These two volumes contain all the papers published by Hans Rademacher, either alone or as joint author, essentially in chronological order. Included also are a collection of published abstracts, a number of papers that appeared in institutes and seminars but are only now being formally published, and several problems posed and/or solved by Rademacher. The editor has provided notes for each paper, offering comments and making corrections. He has also contributed a biographical sketch.
The earlier papers are on real variables, measurability, convergence factors, and Euler summability of series. This phase of Rademacher's work culminates in a paper of 1922, in which he introduced the systems of orthogonal functions now known as the Rademacher functions.
After this, a new period in Rademacher's career began, and his major effort was devoted to the theory of functions of a complex variable and number theory. Some of his most important contributions were made in these fields. He perfected the sieve method and used it skillfully in the study of algebraic number fields; he studied the additive prime number theory of these fields; he generalized Goldbach's Problem; and he began his work on the theory of the Riemann zeta function, modular functions, and Dedekind sums (now oftenand justlycalled Dedekind-Rademacher sums). To this period also becomes what has become known as the Rademacher-Brauer formula.
Rademacher came to the United States as a refugee in 1934. In the years that followed, he obtained some of his most important results in connection with the Fourier coefficients of modular forms of positive dimensions. His general method may be considered a modification and improvement of the Hardy-Ramanujan-Littlewood circle method. He also published additional papers on Dedekind-Rademacher sums (with A. Whiteman), general number theory (with H. S. Zuckerman), and modular functions (also with Zuckerman).
During the last decade of his lifethe 1960she continued his work on these problems and devoted considerable attention to general analysisespecially harmonic analysisand to analytic number theory.
All of the papers in Volume I and ten of those in Volume II are in German. One paper is in Hungarian.
The volumes are part of the MIT Press series Mathematicians of Our Time (Gian-Carlo Rota, general editor).
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› Find signed collectible books: 'Collected Papers: v. 1 (Mathematicians of our time)'
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› Find signed collectible books: 'The Enjoyment of Math'
What is so special about the number 30? How many colors are needed to color a map? Do the prime numbers go on forever? Are there more whole numbers than even numbers? These and other mathematical puzzles are explored in this delightful book by two eminent mathematicians. Requiring no more background than plane geometry and elementary algebra, this book leads the reader into some of the most fundamental ideas of mathematics, the ideas that make the subject exciting and interesting. Explaining clearly how each problem has arisen and, in some cases, resolved, Hans Rademacher and Otto Toeplitz's deep curiosity for the subject and their outstanding pedagogical talents shine through.
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› Find signed collectible books: 'Enjoyment of Mathematics: Selections from Mathematics for the Amateur'
What is so special about the number 30? How many colors are needed to color a map? Do the prime numbers go on forever? Are there more whole numbers than even numbers? These and other mathematical puzzles are explored in this delightful book by two eminent mathematicians. Requiring no more background than plane geometry and elementary algebra, this book leads the reader into some of the most fundamental ideas of mathematics, the ideas that make the subject exciting and interesting. Explaining clearly how each problem has arisen and, in some cases, resolved, Hans Rademacher and Otto Toeplitz's deep curiosity for the subject and their outstanding pedagogical talents shine through.
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› Find signed collectible books: 'The Enjoyment of Mathematics: Selections from Mathematics for the Amateur (Dover Books on Mathematical & Word Recreations)'
Requiring only a basic background in plane geometry and elementary algebra, this classic poses 28 problems that introduce the fundamental ideas that make mathematics truly exciting. "Excellent . . . a thoroughly enjoyable sampler of fascinating mathematical problems and their solutions"Science Magazine.
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› Find signed collectible books: 'Higher Mathematics from an Elementary Point of View'
Hans Adolph Rademacher (3 April 1892 to 7 February 1969) was a German mathematician, known for work in mathematical analysis and number theory. This book was published in 1983 based on a series of lectures he delivered at Stanford University in 1947.
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› Find signed collectible books: 'Lectures on Elementary Number Theory'
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› Find signed collectible books: 'Topics in analytic number theory (Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berucksichtigung der Anwendungsgebiete)'
At the time of Professor Rademacher's death early in 1969, there was available a complete manuscript of the present work. The editors had only to supply a few bibliographical references and to correct a few misprints and errors. No substantive changes were made in the manu- script except in one or two places where references to additional material appeared; since this material was not found in Rademacher's papers, these references were deleted. The editors are grateful to Springer-Verlag for their helpfulness and courtesy. Rademacher started work on the present volume no later than 1944; he was still working on it at the inception of his final illness. It represents the parts of analytic number theory that were of greatest interest to him. The editors, his students, offer this work as homage to the memory of a great man to whom they, in common with all number theorists, owe a deep and lasting debt. E. Grosswald Temple University, Philadelphia, PA 19122, U.S.A. J. Lehner University of Pittsburgh, Pittsburgh, PA 15213 and National Bureau of Standards, Washington, DC 20234, U.S.A. M. Newman National Bureau of Standards, Washington, DC 20234, U.S.A. Contents I. Analytic tools Chapter 1. Bernoulli polynomials and Bernoulli numbers ...1 1. The binomial coefficients ...1 2. The Bernoulli polynomials ...4 3. Zeros of the Bernoulli polynomials ...7 4. The Bernoulli numbers ...9 5. The von Staudt-Clausen theorem ...10 6. A multiplication formula for the Bernoulli polynomials ...
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› Find signed collectible books: 'Topics in Analytic Number Theory (Grundlehren der mathematischen Wissenschaften)'
At the time of Professor Rademacher's death early in 1969, there was available a complete manuscript of the present work. The editors had only to supply a few bibliographical references and to correct a few misprints and errors. No substantive changes were made in the manu script except in one or two places where references to additional material appeared; since this material was not found in Rademacher's papers, these references were deleted. The editors are grateful to Springer-Verlag for their helpfulness and courtesy. Rademacher started work on the present volume no later than 1944; he was still working on it at the inception of his final illness. It represents the parts of analytic number theory that were of greatest interest to him. The editors, his students, offer this work as homage to the memory of a great man to whom they, in common with all number theorists, owe a deep and lasting debt. E. Grosswald Temple University, Philadelphia, PA 19122, U.S.A. J. Lehner University of Pittsburgh, Pittsburgh, PA 15213 and National Bureau of Standards, Washington, DC 20234, U.S.A. M. Newman National Bureau of Standards, Washington, DC 20234, U.S.A. Contents I. Analytic tools Chapter 1. Bernoulli polynomials and Bernoulli numbers ....... . 1 1. The binomial coefficients ..................................... . 1 2. The Bernoulli polynomials .................................... . 4 3. Zeros of the Bernoulli polynomials ............................. . 7 4. The Bernoulli numbers ....................................... . 9 5. The von Staudt-Clausen theorem .............................. . 10 6. A multiplication formula for the Bernoulli polynomials ........... .
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› Find signed collectible books: 'Universal and Organ Remedies'
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› Find signed collectible books: 'Von Zahlen und Figuren: Proben mathematischen Denkens für Liebhaber der Mathematik (Heidelberger Taschenbücher) (German Edition)'
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