17 lectures on fermat numbers from number theory to geometry cms books in mathematics

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17 Lectures On Fermat Numbers

Author : Michal Krizek
ISBN : 9780387218502
Genre : Mathematics
File Size : 69. 31 MB
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The pioneering work of Pierre de Fermat has attracted the attention of mathematicians for over 350 years. This book provides an overview of the many properties of Fermat numbers and demonstrates their applications in areas such as number theory, probability theory, geometry, and signal processing. It is an ideal introduction to the basic mathematical ideas and algebraic methods connected with the Fermat numbers.

Unsolved Problems In Mathematics

Author : Fredrick Kennard
ISBN : 9781312938113
Genre : Reference
File Size : 88. 12 MB
Format : PDF, ePub
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A curated collection of articles relating to unsolved problems in mathematics. This book includes the unsolved problems, as well as additional background information. This first edition also focuses on relevant mathematical conjectures and theories.

Introduction To Experimental Mathematics

Author : Søren Eilers
ISBN : 9781108132794
Genre : Computers
File Size : 30. 30 MB
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Mathematics is not, and never will be, an empirical science, but mathematicians are finding that the use of computers and specialized software allows the generation of mathematical insight in the form of conjectures and examples, which pave the way for theorems and their proofs. In this way, the experimental approach to pure mathematics is revolutionizing the way research mathematicians work. As the first of its kind, this book provides material for a one-semester course in experimental mathematics that will give students the tools and training needed to systematically investigate and develop mathematical theory using computer programs written in Maple. Accessible to readers without prior programming experience, and using examples of concrete mathematical problems to illustrate a wide range of techniques, the book gives a thorough introduction to the field of experimental mathematics, which will prepare students for the challenge posed by open mathematical problems.

Mathematics And The Historian S Craft

Author : Glen van Brummelen
ISBN : 0387252843
Genre : Mathematics
File Size : 52. 23 MB
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This book brings together for the first time the Kenneth May Lectures that were given at the annual meetings of the Canadian Society for History and Philosophy of Mathematics. All contributions are of high scholarly value, yet accessible to an audience with a wide range of interests. They provide a historian's perspective on mathematical developments and deal with a variety of topics covering Greek applied mathematics, the mathematics and science of Leonhard Euler, mathematical modeling and phenomena in ancient astronomy, Turing and the origins of artificial intelligence to name only a few.

Differential Geometry Of Varieties With Degenerate Gauss Maps

Author : Maks A. Akivis
ISBN : 9780387215112
Genre : Mathematics
File Size : 29. 43 MB
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This book surveys the differential geometry of varieties with degenerate Gauss maps, using moving frames and exterior differential forms as well as tensor methods. The authors illustrate the structure of varieties with degenerate Gauss maps, determine the singular points and singular varieties, find focal images and construct a classification of the varieties with degenerate Gauss maps.

Convex Functions And Their Applications

Author : Constantin Niculescu
ISBN : 0387243003
Genre : Mathematics
File Size : 46. 30 MB
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Thorough introduction to an important area of mathematics Contains recent results Includes many exercises

Mathematics And The Aesthetic

Author : Nathalie Sinclair
ISBN : 0387381457
Genre : Mathematics
File Size : 67. 86 MB
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This collection of essays explores the ancient affinity between the mathematical and the aesthetic, focusing on fundamental connections between these two modes of reasoning and communicating. From historical, philosophical and psychological perspectives, with particular attention to certain mathematical areas such as geometry and analysis, the authors examine ways in which the aesthetic is ever-present in mathematical thinking and contributes to the growth and value of mathematical knowledge.

Duality For Nonconvex Approximation And Optimization

Author : Ivan Singer
ISBN : 9780387283951
Genre : Mathematics
File Size : 59. 88 MB
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The theory of convex optimization has been constantly developing over the past 30 years. Most recently, many researchers have been studying more complicated classes of problems that still can be studied by means of convex analysis, so-called "anticonvex" and "convex-anticonvex" optimizaton problems. This manuscript contains an exhaustive presentation of the duality for these classes of problems and some of its generalization in the framework of abstract convexity. This manuscript will be of great interest for experts in this and related fields.

Discrete Mathematics And Its Applications

Author : Kenneth Rosen
ISBN : 9780077418939
Genre : Education
File Size : 35. 44 MB
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Mathematical Reviews

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ISBN : UVA:X006180723
Genre : Mathematics
File Size : 30. 88 MB
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