Background
Andrews, George Eyre was born on December 4, 1938 in Salem, Oregon, United States. Son of Raymond Leslie and Rovena Pearl (Eyre) Andrews.
( Although mathematics majors are usually conversant with...)
Although mathematics majors are usually conversant with number theory by the time they have completed a course in abstract algebra, other undergraduates, especially those in education and the liberal arts, often need a more basic introduction to the topic. In this book the author solves the problem of maintaining the interest of students at both levels by offering a combinatorial approach to elementary number theory. In studying number theory from such a perspective, mathematics majors are spared repetition and provided with new insights, while other students benefit from the consequent simplicity of the proofs for many theorems. Among the topics covered in this accessible, carefully designed introduction are multiplicativity-divisibility, including the fundamental theorem of arithmetic, combinatorial and computational number theory, congruences, arithmetic functions, primitive roots and prime numbers. Later chapters offer lucid treatments of quadratic congruences, additivity (including partition theory) and geometric number theory. Of particular importance in this text is the author's emphasis on the value of numerical examples in number theory and the role of computers in obtaining such examples. Exercises provide opportunities for constructing numerical tables with or without a computer. Students can then derive conjectures from such numerical tables, after which relevant theorems will seem natural and well-motivated..
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("several equivalent ways of forming the graphical represe...)
"several equivalent ways of forming the graphical representation"
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(This book develops the theory of partitions. Simply put, ...)
This book develops the theory of partitions. Simply put, the partitions of a number are the ways of writing that number as sums of positive integers. For example, the five partitions of 4 are 4, 3+1, 2+2, 2+1+1, and 1+1+1+1. Surprisingly, such a simple matter requires some deep mathematics for its study. This book considers the many theoretical aspects of this subject, which have in turn recently found applications to statistical mechanics, computer science and other branches of mathematics. With minimal prerequisites, this book is suitable for students as well as researchers in combinatorics, analysis, and number theory.
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(The theory of integer partitions is a subject of enduring...)
The theory of integer partitions is a subject of enduring interest as well as a major research area. It has found numerous applications, including celebrated results such as the Rogers-Ramanujan identities. The aim of this introductory textbook is to provide an accessible and wide-ranging introduction to partitions, without requiring anything more than some familiarity with polynomials and infinite series. Many exercises are included, together with some solutions and helpful hints.
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(The theory of integer partitions is a subject of enduring...)
The theory of integer partitions is a subject of enduring interest as well as a major research area. It has found numerous applications, including celebrated results such as the Rogers-Ramanujan identities. The aim of this introductory textbook is to provide an accessible and wide-ranging introduction to partitions, without requiring anything more than some familiarity with polynomials and infinite series. Many exercises are included, together with some solutions and helpful hints.
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(This book contains papers presented at the Hans Rademache...)
This book contains papers presented at the Hans Rademacher Centenary Conference, held at Pennsylvania State University in July 1992. The astonishing breadth of Rademacher's mathematical interests is well represented in this volume. The papers collected here range over such topics as modular forms, partitions and $q$-series, Dedekind sums, and Ramanujan type identities. Rounding out the volume is the opening paper, which presents a biography of Rademacher. This volume is a fitting tribute to a remarkable mathematician whose work continues to influence mathematics today.
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(This book develops the theory of partitions. Simply put, ...)
This book develops the theory of partitions. Simply put, the partitions of a number are the ways of writing that number as sums of positive integers. For example, the five partitions of 4 are 4, 3+1, 2+2, 2+1+1, and 1+1+1+1. Surprisingly, such a simple matter requires some deep mathematics for its study. This book considers the many theoretical aspects of this subject, which have in turn recently found applications to statistical mechanics, computer science and other branches of mathematics. With minimal prerequisites, this book is suitable for students as well as researchers in combinatorics, analysis, and number theory.
http://www.amazon.com/Theory-Partitions-Encyclopedia-Mathematics-Applications/dp/0521302226%3FSubscriptionId%3DAKIAJRRWTH346WSPOAFQ%26tag%3Dprabook0b-20%26linkCode%3Dsp1%26camp%3D2025%26creative%3D165953%26creativeASIN%3D0521302226?SubscriptionId=AKIAJRRWTH346WSPOAFQ&tag=prabook0b-20&linkCode=sp1&camp=2025&creative=165953&SubscriptionId=AKIAJRRWTH346WSPOAFQ&tag=prabook0b-20&linkCode=sp1&camp=2025&creative=165953
(Special functions are essential for solving problems in v...)
Special functions are essential for solving problems in virtually all engineering disciplines. Assuming only knowledge of elementary calculus and differential equations, this concise, clearly written reference illustrates the properties and applications of the special functions most frequently needed by practising engineers. Illustrations of worked out sample problems from a wide range of real-world engineering applications are included.
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(Special functions are essential for solving problems in v...)
Special functions are essential for solving problems in virtually all engineering disciplines. Assuming only knowledge of elementary calculus and differential equations, this concise, clearly written reference illustrates the properties and applications of the special functions most frequently needed by practising engineers. Illustrations of worked out sample problems from a wide range of real-world engineering applications are included.
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(Special functions, which include the trigonometric functi...)
Special functions, which include the trigonometric functions, have been used for centuries. Their role in the solution of differential equations was exploited by Newton and Leibniz, and the subject of special functions has been in continuous development ever since. In just the past thirty years several new special functions and applications have been discovered. This treatise presents an overview of the area of special functions, focusing primarily on the hypergeometric functions and the associated hypergeometric series. It includes both important historical results and recent developments and shows how these arise from several areas of mathematics and mathematical physics. Particular emphasis is placed on formulas that can be used in computation. The book begins with a thorough treatment of the gamma and beta functions that are essential to understanding hypergeometric functions. Later chapters discuss Bessel functions, orthogonal polynomials and transformations, the Selberg integral and its applications, spherical harmonics, q-series, partitions, and Bailey chains. This clear, authoritative work will be a lasting reference for students and researchers in number theory, algebra, combinatorics, differential equations, applied mathematics, mathematical computing, and mathematical physics.
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(This Field Guide is designed to provide engineers and sci...)
This Field Guide is designed to provide engineers and scientists with a quick reference for special functions that are crucial to resolving modern engineering and physics problems. The functions treated in this book apply to many fields, including electro-optics, electromagnetic theory, wave propagation, heat conduction, quantum mechanics, probability theory, and electric circuit theory, among many other areas of application. A brief review of these important topics is included in this guide, as well as an introduction to some useful engineering functions such as the step function, rectangle function, and delta (impulse) function. Table of Contents - Engineering Functions - Infinite Series and Improper Integrals - Gamma Functions - Other Functions Defined by Integrals - Orthogonal Polynomials - Bessel Functions - Orthogonal Series - Hypergeometric-Type Functions - Bibliography - Index
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(Volume Two of a rare account of the Mexican war These ar...)
Volume Two of a rare account of the Mexican war These are the further adventures of the 'Twelve Month Volunteer'. Volume two of this Leonaur edition takes up the story of the American Army in Mexico and the 1st Regiment of the Tennessee Cavalry in particular in January of 1847. Furber continues to entertain his readers with the description of personal experience of the life of the army on the march, in camp and on the battlefield, as well as contributing a wider view of the war. Included is much of interest to genealogists. Both volumes of 'The Twelve Month Volunteer' are available in softcover or hardcover with dust jacket for collectors.
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(This is the biography of a Fleet Air Arm pilot during WW2...)
This is the biography of a Fleet Air Arm pilot during WW2. After his pilot training in Canada and Scotland, Boyd served as a naval gun spotter on D-Day and later served in the Pacific. He was present in Toyko Bay when McArthur took the Japanese surrender.
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mathematician university professor
Andrews, George Eyre was born on December 4, 1938 in Salem, Oregon, United States. Son of Raymond Leslie and Rovena Pearl (Eyre) Andrews.
Bachelor of Science, Oregon State University, Corvallis, 1960. Master of Arts, Oregon State University, Corvallis, 1960. Postgraduate, Cambridge University, England, 1960â€”1961.
Doctor of Philosophy, University Pennsylvania, Philadelphia, 1964. Doctorate in Physics (honorary), Parma University, Parma, 1998. Doctor of Science (honorary), University Florida, Gainvesville, since 2002.
DMath (honorary), Waterloo University, Canada, 2004.
Assistant professor mathematics Pennsylvania State University, University Park, 1964-1967, associate professor mathematics, 1967-1970, professor mathematics, 1970-1981, Evan Pugh professor mathematics, since 1981, mathematics department head, 1980-1982, 95-97. Hedrick lecturer Mathematics Association American, 1980, J.S. Frame lecturer, 1993, Polya lecturer, 2007-2009. Adjunct professor University Waterloo, Ontario, Canada, 1982-1992, regional conference lecturer, National Science Foundation-Conference Board Mathematics Sciences, 1985.
( Although mathematics majors are usually conversant with...)
(This Field Guide is designed to provide engineers and sci...)
(This book contains papers presented at the Hans Rademache...)
(Volume Two of a rare account of the Mexican war These ar...)
(The theory of integer partitions is a subject of enduring...)
(The theory of integer partitions is a subject of enduring...)
(Special functions are essential for solving problems in v...)
(Special functions are essential for solving problems in v...)
(Special functions, which include the trigonometric functi...)
("several equivalent ways of forming the graphical represe...)
(This is the biography of a Fleet Air Arm pilot during WW2...)
(This book develops the theory of partitions. Simply put, ...)
(This book develops the theory of partitions. Simply put, ...)
Author: Number Theory, 1971, Theory of Partitions, 1976, Partitions: Yesterday and Today, 1979, q-Series, 1986, (with R. Askey and R. Roy) Special Functions, 1998, (with K. Eriksson) Integer Partitions, 2004, (with B. Berndt) Ramanujan's Lost Notebook, Part I, 2005, Part II, 2009. Editor: Collected Papers of P.A. MacMahon, Volunteer I, 1978, Volunteer II, 1986, Ramanujan Revisited, 1988, The Rademacher Legacy to Mathematics, 1994, (with S. Ahlgren and K. Ono) Topics in Number Theory in Honor of B. Gordon and S. Chowla, 1999.
Fellow: Society for Industrial and Applied Mathematics, Society Industrial and Applied Mathematics. Member: National Academy of Sciences, American Mathematics Society (president-elect 2008-2009, president since 2009), American Academy Arts and Sciences.
Married Joy Margaret Brown, September 2, 1960. Children: Amy Beth, Katherine Yvonne, Derek George.