Carus Mathematical Monographs – serie
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18 produkter
Inequalities from Complex Analysis
Inbunden, 2002
612 kr
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Inequalities from Complex Analysis is a careful, friendly exposition of inequalities and positivity conditions for various mathematical objects arising in complex analysis. The author begins by defining the complex number field, and then discusses enough mathematical analysis to reach recently …
Ergodic Theory of Numbers
Av Karma Dajani, Cor Kraaikamp
Inbunden, 2002
556 kr
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Ergodic Theory of Numbers looks at the interaction between two fields of mathematics: number theory and ergodic theory (as part of dynamical systems). It is an introduction to the ergodic theory behind common number expansions, like decimal expansions, continued fractions, and many others. However, …
Randomness and Recurrence in Dynamical Systems
A Real Analysis Approach
Inbunden, 2010
904 kr
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Randomness and Recurrence in Dynamical Systems aims to bridge a gap between undergraduate teaching and the research level in mathematical analysis. It makes ideas on averaging, randomness, and recurrence, which traditionally require measure theory, accessible at the undergraduate and lower graduate …
Linear Inverse Problems and Tikhonov Regularization
Inbunden, 2016
908 kr
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Tikhonov regularization is the most popular general-purpose method for regularization, a mathematical technique to suppress the effect of noise in data, and uses much of the machinery of Hilbert space theory. This book develops the theory of Tikhonov regularization for a certain class of linear …
Near the Horizon
An Invitation to Geometric Optics
Av Henk Broer
Inbunden, 2017
908 kr
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Several optical phenomena can occur when the sun is near the horizon, some of which can actually be seen, for instance as a dark strip in the middle of the solar disk, or as a green flash. These are a result of the way the atmosphere affects the geometry of light rays. In this book, Broer uses the …
Finding Ellipses
What Blaschke Products, Poncelet's Theorem, and the Numerical Range Know About Each Other
Av Ulrich Daepp, Pamela Gorkin m. fl.
Inbunden, 2018
908 kr
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Mathematicians delight in finding surprising connections between seemingly disparate areas of mathematics. Whole domains of modern mathematics have arisen from exploration of such connections--consider analytic number theory or algebraic topology. Finding Ellipses is a delight-filled romp across a …
Field Theory and Its Classical Problems
Häftad, 1975
908 kr
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Field Theory and its Classical Problems lets Galois theory unfold in a natural way, beginning with the geometric construction problems of antiquity, continuing through the construction of regular $n$-gons and the properties of roots of unity, and then on to the solvability of polynomial equations …
Algebra and Tiling
Homorphisms in the Service of Geometry
Av Sherman K. Stein, Sandor Szabo
Häftad, 1994
795 kr
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Algebra and Tiling is accessible to undergraduate mathematics majors, as most of the tools necessary to read the book are found in standard upper division algebra courses, but teachers, researchers, and professional mathematicians will find the book equally appealing. Beginners will find the …
Panorama of Harmonic Analysis
Häftad, 1999
908 kr
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A Panorama of Harmonic Analysis treats the subject of harmonic analysis, from its earliest beginnings to the latest research. Following both an historical and a conceptual genesis, the book discusses Fourier series of one and several variables, the Fourier transform, spherical harmonics, fractional …
Primer of Real Functions
Av Ralph P. Boas, Harold P. Boas
Häftad, 1996
795 kr
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This is a revised, updated, and significantly augmented edition of a classic Carus Monograph (a bestseller for over 25 years) on the theory of functions of a real variable. Earlier editions of this classic Carus Monograph covered sets, metric spaces, continuous functions, and differentiable …
From Error-Correcting Codes Through Sphere Packings to Simple Groups
Häftad, 1983
668 kr
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This book traces a remarkable path of mathematical connections through seemingly disparate topics. Frustrations with a 1940's electro-mechanical computer at a premier research laboratory begin this story. Subsequent mathematical methods of encoding messages to ensure correctness when transmitted …
Noncommutative Rings
Häftad, 1994
795 kr
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Noncommutative Rings provides a cross-section of ideas, techniques, and results that give the reader an idea of that part of algebra which concerns itself with noncommutative rings. In the space of 200 pages, Herstein covers the Jacobson radical, semisimple rings, commutativity theorems, simple …
Finite Field Distance Problem
Häftad, 2021
795 kr
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Erdos asked how many distinct distances must there be in a set of $n$ points in the plane. Falconer asked a continuous analogue, essentially asking what is the minimal Hausdorff dimension required of a compact set in order to guarantee that the set of distinct distances has positive Lebesgue …
Unity of Combinatorics
Häftad, 2020
795 kr
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Combinatorics, or the art and science of counting, is a vibrant and active area of pure mathematical research with many applications. The Unity of Combinatorics succeeds in showing that the many facets of combinatorics are not merely isolated instances of clever tricks but that they have numerous …
Ergodic Theory
Häftad, 2025
964 kr
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Ergodic theory is concerned with the measure-theoretic or statistical properties of a dynamical system. This book provides a conversational introduction to the topic, guiding the reader from the classical questions of measure theory to modern results such as the polynomial recurrence theorem. …
Sensual (quadratic) Form
Häftad, 2018
612 kr
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John Horton Conway's unique approach to quadratic forms was the subject of the Hedrick Lectures that he gave in August of 1991 at the Joint Meetings of the Mathematical Association of America and the American Mathematical Society in Orono, Maine. This book presents the substance of those …
Statistical Independence in Probability, Analysis, and Number Theory
Av Mark Kac
Häftad, 1959
556 kr
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Professor Kac's monograph is designed to illustrate how simple observations can be made the starting point of rich and fruitful theories and how the same theme recurs in seemingly unrelated disciplines. An elementary but thorough discussion of the game of ""heads or tails,"" including the normal …
Schwarz Function and Its Applications
Häftad, 1974
669 kr
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H. A. Schwarz showed us how to extend the notion of reflection in straight lines and circles to reflection in an arbitrary analytic arc. Notable applications were made to the symmetry principle and to problems of analytic continuation. Reflection, in the hands of Schwarz, is an antianalytic …