Mathematical and Physical Papers

Mathematical and Physical Papers PDF Author: William Thomson Baron Kelvin
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 506

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Book Description

Mathematical and Physical Papers

Mathematical and Physical Papers PDF Author: William Thomson Baron Kelvin
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 506

Get Book Here

Book Description


The Lefschetz Properties

The Lefschetz Properties PDF Author: Tadahito Harima
Publisher: Springer
ISBN: 3642382061
Category : Mathematics
Languages : en
Pages : 268

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Book Description
This is a monograph which collects basic techniques, major results and interesting applications of Lefschetz properties of Artinian algebras. The origin of the Lefschetz properties of Artinian algebras is the Hard Lefschetz Theorem, which is a major result in algebraic geometry. However, for the last two decades, numerous applications of the Lefschetz properties to other areas of mathematics have been found, as a result of which the theory of the Lefschetz properties is now of great interest in its own right. It also has ties to other areas, including combinatorics, algebraic geometry, algebraic topology, commutative algebra and representation theory. The connections between the Lefschetz property and other areas of mathematics are not only diverse, but sometimes quite surprising, e.g. its ties to the Schur-Weyl duality. This is the first book solely devoted to the Lefschetz properties and is the first attempt to treat those properties systematically.

The Distribution of Prime Numbers

The Distribution of Prime Numbers PDF Author: Albert Edward Ingham
Publisher: Cambridge University Press
ISBN: 9780521397896
Category : Mathematics
Languages : en
Pages : 140

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Book Description
Originally published in 1934, this volume presents the theory of the distribution of the prime numbers in the series of natural numbers. Despite being long out of print, it remains unsurpassed as an introduction to the field.

Stone Spaces

Stone Spaces PDF Author: Peter T. Johnstone
Publisher: Cambridge University Press
ISBN: 9780521337793
Category : Mathematics
Languages : en
Pages : 398

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Book Description
A unified treatment of the corpus of mathematics that has developed out of M. H. Stone's representation theorem for Boolean algebras (1936) which has applications in almost every area of modern mathematics.

Computational Topology for Data Analysis

Computational Topology for Data Analysis PDF Author: Tamal Krishna Dey
Publisher: Cambridge University Press
ISBN: 1009103199
Category : Mathematics
Languages : en
Pages : 456

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Book Description
Topological data analysis (TDA) has emerged recently as a viable tool for analyzing complex data, and the area has grown substantially both in its methodologies and applicability. Providing a computational and algorithmic foundation for techniques in TDA, this comprehensive, self-contained text introduces students and researchers in mathematics and computer science to the current state of the field. The book features a description of mathematical objects and constructs behind recent advances, the algorithms involved, computational considerations, as well as examples of topological structures or ideas that can be used in applications. It provides a thorough treatment of persistent homology together with various extensions – like zigzag persistence and multiparameter persistence – and their applications to different types of data, like point clouds, triangulations, or graph data. Other important topics covered include discrete Morse theory, the Mapper structure, optimal generating cycles, as well as recent advances in embedding TDA within machine learning frameworks.

Finite Generalized Quadrangles

Finite Generalized Quadrangles PDF Author: Stanley E. Payne
Publisher: European Mathematical Society
ISBN: 9783037190661
Category : Mathematics
Languages : en
Pages : 304

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Book Description
Generalized quadrangles (GQ) were formally introduced by J. Tits in 1959 to describe geometric properties of simple groups of Lie type of rank 2. The first edition of Finite Generalized Quadrangles (FGQ) quickly became the standard reference for finite GQ. The second edition is essentially a reprint of the first edition. It is a careful rendering into LaTeX of the original, along with an appendix that brings to the attention of the reader those major new results pertaining to GQ, especially in those areas where the authors of this work have made a contribution. The first edition has been out of print for many years. The new edition makes available again this classical reference in the rapidly increasing field of finite geometries.

Mathematics: A Very Short Introduction

Mathematics: A Very Short Introduction PDF Author: Timothy Gowers
Publisher: OUP Oxford
ISBN: 0191579416
Category : Mathematics
Languages : en
Pages : 160

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Book Description
The aim of this book is to explain, carefully but not technically, the differences between advanced, research-level mathematics, and the sort of mathematics we learn at school. The most fundamental differences are philosophical, and readers of this book will emerge with a clearer understanding of paradoxical-sounding concepts such as infinity, curved space, and imaginary numbers. The first few chapters are about general aspects of mathematical thought. These are followed by discussions of more specific topics, and the book closes with a chapter answering common sociological questions about the mathematical community (such as "Is it true that mathematicians burn out at the age of 25?") ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.

Mathematical Structures for Computer Science

Mathematical Structures for Computer Science PDF Author: Judith L. Gersting
Publisher: Macmillan
ISBN: 9780716768647
Category : Mathematics
Languages : en
Pages : 830

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Book Description
This edition offers a pedagogically rich and intuitive introduction to discrete mathematics structures. It meets the needs of computer science majors by being both comprehensive and accessible.

The Theory of Composites

The Theory of Composites PDF Author: Graeme W. Milton
Publisher: SIAM
ISBN: 1611977487
Category : Mathematics
Languages : en
Pages : 761

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Book Description
Composites have been studied for more than 150 years, and interest in their properties has been growing. This classic volume provides the foundations for understanding a broad range of composite properties, including electrical, magnetic, electromagnetic, elastic and viscoelastic, piezoelectric, thermal, fluid flow through porous materials, thermoelectric, pyroelectric, magnetoelectric, and conduction in the presence of a magnetic field (Hall effect). Exact solutions of the PDEs in model geometries provide one avenue of understanding composites; other avenues include microstructure-independent exact relations satisfied by effective moduli, for which the general theory is reviewed; approximation formulae for effective moduli; and series expansions for the fields and effective moduli that are the basis of numerical methods for computing these fields and moduli. The range of properties that composites can exhibit can be explored either through the model geometries or through microstructure-independent bounds on the properties. These bounds are obtained through variational principles, analytic methods, and Hilbert space approaches. Most interesting is when the properties of the composite are unlike those of the constituent materials, and there has been an explosion of interest in such composites, now known as metamaterials. The Theory of Composites surveys these aspects, among others, and complements the new body of literature that has emerged since the book was written. It remains relevant today by providing historical background, a compendium of numerous results, and through elucidating many of the tools still used today in the analysis of composite properties. This book is intended for applied mathematicians, physicists, and electrical and mechanical engineers. It will also be of interest to graduate students.

Mathematical Theory of Domains

Mathematical Theory of Domains PDF Author: V. Stoltenberg-Hansen
Publisher: Cambridge University Press
ISBN: 9780521383448
Category : Computers
Languages : en
Pages : 366

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Book Description
Introductory textbook/general reference in domain theory for professionals in computer science and logic.