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Author: Paolo Bussotti
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 596
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Book Description
Author: Paolo Bussotti
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 596
Get Book Here
Book Description
Author: W. Scharlau
Publisher: Springer Science & Business Media
ISBN: 1475718675
Category : Mathematics
Languages : en
Pages : 196
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Book Description
This book arose from a course of lectures given by the first author during the winter term 1977/1978 at the University of Münster (West Germany). The course was primarily addressed to future high school teachers of mathematics; it was not meant as a systematic introduction to number theory but rather as a historically motivated invitation to the subject, designed to interest the audience in number-theoretical questions and developments. This is also the objective of this book, which is certainly not meant to replace any of the existing excellent texts in number theory. Our selection of topics and examples tries to show how, in the historical development, the investigation of obvious or natural questions has led to more and more comprehensive and profound theories, how again and again, surprising connections between seemingly unrelated problems were discovered, and how the introduction of new methods and concepts led to the solution of hitherto unassailable questions. All this means that we do not present the student with polished proofs (which in turn are the fruit of a long historical development); rather, we try to show how these theorems are the necessary consequences of natural questions. Two examples might illustrate our objectives.
Author: Carl Friedrich Gauss
Publisher: Springer
ISBN: 1493975609
Category : Mathematics
Languages : en
Pages : 491
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Book Description
Carl Friedrich Gauss’s textbook, Disquisitiones arithmeticae, published in 1801 (Latin), remains to this day a true masterpiece of mathematical examination. .
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: Harold M. Edwards
Publisher: Springer Science & Business Media
ISBN: 9780387950020
Category : Mathematics
Languages : en
Pages : 436
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Book Description
This introduction to algebraic number theory via the famous problem of "Fermats Last Theorem" follows its historical development, beginning with the work of Fermat and ending with Kummers theory of "ideal" factorization. The more elementary topics, such as Eulers proof of the impossibilty of x+y=z, are treated in an uncomplicated way, and new concepts and techniques are introduced only after having been motivated by specific problems. The book also covers in detail the application of Kummers theory to quadratic integers and relates this to Gauss'theory of binary quadratic forms, an interesting and important connection that is not explored in any other book.
Author: Lars Jaeger
Publisher: Springer Nature
ISBN: 3031239261
Category : History
Languages : en
Pages : 223
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Book Description
Although women participated in shaping scientific thinking from the outset, they very rarely became visible. This imbalance continues today, although there are currently more female scientists than ever before. Lars Jaeger spans an arc from antiquity to the present day and portrays the lives and work of the most important female scientists and mathematicians in essay-like introductions. From Hypatia of Alexandria to Emmy Noether and Lisa Randall, they have all achieved great things, decisively advanced science and yet often could not step out of the shadow of their male colleagues. In addition to the exciting portraits of the individual women scientists, the book also sheds light on gender relations in science and their agonisingly slow evolution in favour of women.
Author: Raymond Flood
Publisher: Arcturus Publishing
ISBN: 1848589484
Category : History
Languages : en
Pages : 294
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Book Description
Why did Florence Nightingale introduce pie charts? How did Lewis Carroll regard Pythagoras? Who learned calculus from her nursery wallpaper? Spanning from the ancient world to the modern age, The Great Mathematicians tells fascinating and unusual tales of the men and women who transformed mathematics. We meet the mathematician who knew eight languages by the time he was 11, the one who was sent to jail for gambling and the one who published a lot yet never existed. As well as providing rich bibliographic detail, Professors Raymond Flood and Robin Wilson explain various theorems using concise and accessible language. These include the Pythagorean theorem, Gödel's Incompleteness theorem, Fermat's Last Theorem and many more. Flood and Wilson are both former presidents of the British Society for the History of Mathematics and are uniquely qualified to lay out this incredible tale. This entertaining and rigorously accurate book presents mathematics with a human face, celebrating the achievements of the greatest mathematicians across history.
Author: Stephen Hawking
Publisher: Running Press Adult
ISBN: 0762430044
Category : Biography & Autobiography
Languages : en
Pages : 1376
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Book Description
Looks at landmark mathematical discoveries over the past 2,500 years by such mathematicians as Euclid, Isaac Newton, Pierre Simon de Laplace, Georg Cantor, Alan Turing, and others, offering profiles of twenty-one important mathematical masters, facsimiles of their key works, and commentary on their contributions to the history of mathematics.
Author: Teofilo F. Gonzalez
Publisher: CRC Press
ISBN: 1420010743
Category : Computers
Languages : en
Pages : 1434
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Book Description
Delineating the tremendous growth in this area, the Handbook of Approximation Algorithms and Metaheuristics covers fundamental, theoretical topics as well as advanced, practical applications. It is the first book to comprehensively study both approximation algorithms and metaheuristics. Starting with basic approaches, the handbook presents the methodologies to design and analyze efficient approximation algorithms for a large class of problems, and to establish inapproximability results for another class of problems. It also discusses local search, neural networks, and metaheuristics, as well as multiobjective problems, sensitivity analysis, and stability. After laying this foundation, the book applies the methodologies to classical problems in combinatorial optimization, computational geometry, and graph problems. In addition, it explores large-scale and emerging applications in networks, bioinformatics, VLSI, game theory, and data analysis. Undoubtedly sparking further developments in the field, this handbook provides the essential techniques to apply approximation algorithms and metaheuristics to a wide range of problems in computer science, operations research, computer engineering, and economics. Armed with this information, researchers can design and analyze efficient algorithms to generate near-optimal solutions for a wide range of computational intractable problems.
Author: Linda Null
Publisher: Jones & Bartlett Learning
ISBN: 1284259439
Category : Computers
Languages : en
Pages : 895
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Book Description
Essentials of Computer Organization and Architecture focuses on the function and design of the various components necessary to process information digitally. This title presents computing systems as a series of layers, taking a bottom-up approach by starting with low-level hardware and progressing to higher-level software. Its focus on real-world examples and practical applications encourages students to develop a "big-picture" understanding of how essential organization and architecture concepts are applied in the computing world. In addition to direct correlation with the ACM/IEEE guidelines for computer organization and architecture, the text exposes readers to the inner workings of a modern digital computer through an integrated presentation of fundamental concepts and principles. The Fifth Edition of Essentials of Computer Organization and Architecture was awarded the William Holmes McGuffey Longevity Award ("McGuffey") from the Text and Academic Authors Association (TAA). The McGuffy award recognizes textbooks and learning materials whose excellence has been demonstrated over time.
