The Shaping of Arithmetic after C.F. Gauss's Disquisitiones Arithmeticae PDF Download
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Author: Catherine Goldstein
Publisher: Springer Science & Business Media
ISBN: 3540347208
Category : Mathematics
Languages : en
Pages : 579
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Book Description
Since its publication, C.F. Gauss's Disquisitiones Arithmeticae (1801) has acquired an almost mythical reputation, standing as an ideal of exposition in notation, problems and methods; as a model of organisation and theory building; and as a source of mathematical inspiration. Eighteen authors - mathematicians, historians, philosophers - have collaborated in this volume to assess the impact of the Disquisitiones, in the two centuries since its publication.
Author: Catherine Goldstein
Publisher: Springer Science & Business Media
ISBN: 3540347208
Category : Mathematics
Languages : en
Pages : 579
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Book Description
Since its publication, C.F. Gauss's Disquisitiones Arithmeticae (1801) has acquired an almost mythical reputation, standing as an ideal of exposition in notation, problems and methods; as a model of organisation and theory building; and as a source of mathematical inspiration. Eighteen authors - mathematicians, historians, philosophers - have collaborated in this volume to assess the impact of the Disquisitiones, in the two centuries since its publication.
Author: Olav Arnfinn Laudal
Publisher: Springer Science & Business Media
ISBN: 3642189083
Category : Mathematics
Languages : en
Pages : 785
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Book Description
A unique series of fascinating research papers on subjects related to the work of Niels Henrik Abel, written by some of the foremost specialists in their fields. Some of the authors have been specifically invited to present papers, discussing the influence of Abel in a mathematical-historical context. Others have submitted papers presented at the Abel Bicentennial Conference, Oslo June 3-8, 2002. The idea behind the book has been to produce a text covering a substantial part of the legacy of Abel, as perceived at the beginning of the 21st century.
Author: Warren P. Johnson
Publisher: American Mathematical Soc.
ISBN: 1470456230
Category : Education
Languages : en
Pages : 537
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Book Description
Starting from simple generalizations of factorials and binomial coefficients, this book gives a friendly and accessible introduction to q q-analysis, a subject consisting primarily of identities between certain kinds of series and products. Many applications of these identities to combinatorics and number theory are developed in detail. There are numerous exercises to help students appreciate the beauty and power of the ideas, and the history of the subject is kept consistently in view. The book has few prerequisites beyond calculus. It is well suited to a capstone course, or for self-study in combinatorics or classical analysis. Ph.D. students and research mathematicians will also find it useful as a reference.
Author: Ronald S. Irving
Publisher: MAA
ISBN: 0883857839
Category : Mathematics
Languages : en
Pages : 246
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Book Description
A study guide to polynomials that goes beyond the familiar quadratic formula to cover cubic and quartic equations.
Author: Karen Hunger Parshall
Publisher: JHU Press
ISBN: 9780801882913
Category : Biography & Autobiography
Languages : en
Pages : 500
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Book Description
This text offers a biography of James Joseph Sylvester & his work. A Cambridge student at first denied a degree because of his faith, Sylvester came to America to teach mathematics, becoming Daniel Coit Gilman's faculty recruit at Johns Hopkins in 1876 & winning the coveted Savilian Professorship of Geometry at Oxford in 1883.
Author:
Publisher: Rowman & Littlefield Publishers
ISBN:
Category : Biography & Autobiography
Languages : en
Pages : 588
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Book Description
To find more information about Rowman and Littlefield titles, please visit www.rowmanlittlefield.com.
Author: Joachim von zur Gathen
Publisher: Cambridge University Press
ISBN: 1107245257
Category : Computers
Languages : en
Pages : 811
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Book Description
Computer algebra systems are now ubiquitous in all areas of science and engineering. This highly successful textbook, widely regarded as the 'bible of computer algebra', gives a thorough introduction to the algorithmic basis of the mathematical engine in computer algebra systems. Designed to accompany one- or two-semester courses for advanced undergraduate or graduate students in computer science or mathematics, its comprehensiveness and reliability has also made it an essential reference for professionals in the area. Special features include: detailed study of algorithms including time analysis; implementation reports on several topics; complete proofs of the mathematical underpinnings; and a wide variety of applications (among others, in chemistry, coding theory, cryptography, computational logic, and the design of calendars and musical scales). A great deal of historical information and illustration enlivens the text. In this third edition, errors have been corrected and much of the Fast Euclidean Algorithm chapter has been renovated.
Author: John Stillwell
Publisher: Princeton University Press
ISBN: 0691234361
Category : Mathematics
Languages : en
Pages : 456
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Book Description
How the concept of proof has enabled the creation of mathematical knowledge The Story of Proof investigates the evolution of the concept of proof—one of the most significant and defining features of mathematical thought—through critical episodes in its history. From the Pythagorean theorem to modern times, and across all major mathematical disciplines, John Stillwell demonstrates that proof is a mathematically vital concept, inspiring innovation and playing a critical role in generating knowledge. Stillwell begins with Euclid and his influence on the development of geometry and its methods of proof, followed by algebra, which began as a self-contained discipline but later came to rival geometry in its mathematical impact. In particular, the infinite processes of calculus were at first viewed as “infinitesimal algebra,” and calculus became an arena for algebraic, computational proofs rather than axiomatic proofs in the style of Euclid. Stillwell proceeds to the areas of number theory, non-Euclidean geometry, topology, and logic, and peers into the deep chasm between natural number arithmetic and the real numbers. In its depths, Cantor, Gödel, Turing, and others found that the concept of proof is ultimately part of arithmetic. This startling fact imposes fundamental limits on what theorems can be proved and what problems can be solved. Shedding light on the workings of mathematics at its most fundamental levels, The Story of Proof offers a compelling new perspective on the field’s power and progress.
Author: Boston Public Library
Publisher:
ISBN:
Category : Bibliographical literature
Languages : en
Pages : 392
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Book Description
Author: Joseph W. Dauben
Publisher: Academic Press
ISBN: 148326257X
Category : Mathematics
Languages : en
Pages : 289
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Book Description
Mathematical Perspectives: Essays on Mathematics and its Historical Development is a collection of 13 biographical essays on the historical advances of science. This collection is originally meant to comprise an issue of the journal Historia Mathematica in honor of Professor Kurt R. Biermann's 60th birthday. This 12-chapter text includes essays on studies and commentaries on the problem of "figures of equal perimeter by various authors in antiquity, including Zenodorus, Theon, and Pappus. Other essays explore the comparison of the areas of polygons with equal perimeter; the concept of function; history of mathematics; the development of mathematical physics in France; and the history of Logicism and Formalism. The remaining chapters deal with essays on an early version of Gauss' Disquisitiones Arithmeticae, ideal numbers, a mathematical-philosophilica theory of probability, and historical examples of problem of number sequence interpolation. This book will be of value to mathematicians, historians, and researchers.
