Dolciani Mathematical Expositions – serie
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16 produkter
Quadratic Number Theory
An Invitation to Algebraic Methods in the Higher Arithmetic
Av J.L. Lehman
Inbunden, 2019
793 kr
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This text is an introduction to algebraic number theory for readers with a moderate knowledge of elementary number theory and some familiarity with the terminology of abstract algebra. With its exceptionally clear prose, hundreds of exercises, and historical motivation, it would make an excellent …
Old and New Unsolved Problems in Plane Geometry and Number Theory
Häftad, 1991
428 kr
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Victor Klee and Stan Wagon discuss some of the unsolved problems in number theory and geometry, many of which can be understood by readers with a very modest mathematical background. The presentation is organized around 24 central problems, many of which are accompanied by other, related problems. …
A Guide to Groups, Rings, and Fields
Inbunden, 2013
793 kr
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Algebraic structures have come to be ubiquitous in mathematics, with almost all mathematicians encountering groups, rings, fields or more exotic related objects during the course of their research. This book presents an overview of some of the most important algebraic structures in modern …
A Guide to Functional Analysis
Inbunden, 2013
793 kr
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Functional analysis is an abstract and powerful modern theory that occupies a central role in mathematics. This book provides a quick but precise introduction to the subject, covering everything that a beginning graduate student needs to know. The subject has its roots in the theory of …
New Horizons in Geometry
Av Tom M. Apostol, Mamikon A. Mnatsakanian
Inbunden, 2018
1031 kr
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New Horizons in Geometry represents the fruits of 15 years of work in geometry by a remarkable team of prize-winning authors Tom Apostol and Mamikon Mnatsakanian. It serves as a capstone to an amazing collaboration. Apostol and Mamikon provide fresh and powerful insights into geometry that requires …
Diophantus and Diophantine Equations
Av Isabella Grigoryevna Bashmakova
Häftad, 1997
428 kr
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This book tells the story of Diophantine analysis, a subject that, owing to its thematic proximity to algebraic geometry, became fashionable in the last half century and has remained so ever since. This new treatment of the methods of Diophantus-a person whose very existence has long been doubted …
Logica As Algebra
Häftad, 1998
428 kr
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Here is an introduction to modern logic that differs from others by treating logic from an algebraic perspective. What this means is that notions and results from logic become much easier to understand when seen from a familiar standpoint of algebra. The presentation, written in the engaging and …
Cornucopia of Quadrilaterals
Av Claudi Alsina, Roger B. Nelsen
Inbunden, 2020
723 kr
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A Cornucopia of Quadrilaterals collects and organizes hundreds of beautiful and surprising results about four-sided figures--for example, that the midpoints of the sides of any quadrilateral are the vertices of a parallelogram, or that in a convex quadrilateral (not a parallelogram) the line …
Icons of Mathematics
An Exploration of Twenty Key Images
Av Claudi Alsina, Roger B. Nelsen
Häftad, 2020
793 kr
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The authors present twenty icons of mathematics, that is, geometrical shapes such as the right triangle, the Venn diagram, and the yang and yin symbol and explore mathematical results associated with them. As with their previous books (Charming Proofs, When Less is More, Math Made Visual) proofs …
Gateway to Number Theory
Applying the Power of Algebraic Curves
Av Keith Kendig
Häftad, 2021
723 kr
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Challenge: Can you find all the integers $a$, $b$, $c$ satisfying $2a^{2} + 3b^{2} = 5c^{2}$? Looks simple, and there are in fact a number of easy solutions. But most of them turn out to be anything but obvious! There are infinitely many possibilities, and as any computer will tell you, each of …
Exploring Continued Fractions
From the Integers to Solar Eclipses
Häftad, 2019
793 kr
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There is a nineteen-year recurrence in the apparent position of the sun and moon against the background of the stars, a pattern observed long ago by the Babylonians. In the course of those nineteen years the Earth experiences 235 lunar cycles. Suppose we calculate the ratio of Earth's period about …
Which Way Did the Bicycle Go?
And Other Intriguing Mathematical Mysteries
Av Joseph D. E. Konhauser, Dan Velleman m. fl.
Häftad, 1996
465 kr
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This collection will give students (high school or beyond), teachers, and university professors a chance to experience the pleasure of wrestling with some beautiful problems of elementary mathematics. Readers can compare their sleuthing talents with those of Sherlock Holmes, who made a bad mistake …
Panoply of Polygons
Av Claudi Alsina, Roger B. Nelsen
Häftad, 2023
793 kr
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A Panoply of Polygons presents and organizes hundreds of beautiful, surprising and intriguing results about polygons with more than four sides. (A Cornucopia of Quadrilaterals, a previous volume by the same authors, thoroughly explored the properties of four-sided polygons.) This panoply consists …
Proofs That Really Count
The Art of Combinatorial Proof
Av Arthur T. Benjamin, Jennifer J. Quinn
Häftad, 2003
793 kr
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Mathematics is the science of patterns, and mathematicians attempt to understand these patterns and discover new ones using a variety of tools. In Proofs That Really Count, award-winning math professors Arthur Benjamin and Jennifer Quinn demonstrate that many number patterns, even very complex …
Beyond Pascal's Triangle
Häftad, 2026
835 kr
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Beautiful self-similar patterns emerge when the entries of Pascal's Triangle are reduced modulo a positive integer $n$. This book offers an engaging exploration of a natural extension of this idea: since the integers modulo $n$ form a finite group, what happens when we construct Pascal-like …
Mathematical Exploration of Map Projections
Av C.M. Linton
Häftad, 2026
835 kr
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How are maps created? What is the process that enables a location on the Earth's surface to become a point on a sheet of paper? The answer lies in map projections. This book provides a highly readable account of the theory that underpins all major map projections, starting from the concept of map …