A Field Guide to Algebra

A Field Guide to Algebra

Author: Antoine Chambert-Loir

Publisher: Springer Science & Business Media

Published: 2004-10-01

Total Pages: 199

ISBN-13: 0387214283

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This book has a nonstandard choice of topics, including material on differential galois groups and proofs of the transcendence of e and pi. The author uses a conversational tone and has included a selection of stamps to accompany the text.


A Field Guide to Algebra

A Field Guide to Algebra

Author: Antoine Chambert-Loir

Publisher: Springer Science & Business Media

Published: 2007-12-21

Total Pages: 199

ISBN-13: 038726955X

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This book has a nonstandard choice of topics, including material on differential galois groups and proofs of the transcendence of e and pi. The author uses a conversational tone and has included a selection of stamps to accompany the text.


(Mostly) Commutative Algebra

(Mostly) Commutative Algebra

Author: Antoine Chambert-Loir

Publisher: Springer Nature

Published: 2021-04-08

Total Pages: 466

ISBN-13: 3030615952

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This book stems from lectures on commutative algebra for 4th-year university students at two French universities (Paris and Rennes). At that level, students have already followed a basic course in linear algebra and are essentially fluent with the language of vector spaces over fields. The topics introduced include arithmetic of rings, modules, especially principal ideal rings and the classification of modules over such rings, Galois theory, as well as an introduction to more advanced topics such as homological algebra, tensor products, and algebraic concepts involved in algebraic geometry. More than 300 exercises will allow the reader to deepen his understanding of the subject. The book also includes 11 historical vignettes about mathematicians who contributed to commutative algebra.


The Kingdom of Infinite Number

The Kingdom of Infinite Number

Author: Bryan Bunch

Publisher: Macmillan

Published: 2001-09-15

Total Pages: 414

ISBN-13: 9780716744474

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A guide to numbers, suggesting ways of looking at individual numbers and their unique properties.


Field Guide to Continuous Probability Distributions

Field Guide to Continuous Probability Distributions

Author: Gavin E Crooks

Publisher:

Published: 2019-04

Total Pages: 210

ISBN-13: 9781733938105

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A common problem is that of describing the probability distribution of a single, continuous variable. A few distributions, such as the normal and exponential, were discovered in the 1800's or earlier. But about a century ago the great statistician, Karl Pearson, realized that the known probability distributions were not sufficient to handle all of the phenomena then under investigation, and set out to create new distributions with useful properties. During the 20th century this process continued with abandon and a vast menagerie of distinct mathematical forms were discovered and invented, investigated, analyzed, rediscovered and renamed, all for the purpose of describing the probability of some interesting variable. There are hundreds of named distributions and synonyms in current usage. The apparent diversity is unending and disorienting. Fortunately, the situation is less confused than it might at first appear. Most common, continuous, univariate, unimodal distributions can be organized into a small number of distinct families, which are all special cases of a single Grand Unified Distribution. This compendium details these hundred or so simple distributions, their properties and their interrelations.


A Book of Abstract Algebra

A Book of Abstract Algebra

Author: Charles C Pinter

Publisher: Courier Corporation

Published: 2010-01-14

Total Pages: 402

ISBN-13: 0486474178

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Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition.


A Guide to Groups, Rings, and Fields

A Guide to Groups, Rings, and Fields

Author: Fernando Q. GouvĂȘa

Publisher: MAA

Published: 2012

Total Pages: 329

ISBN-13: 0883853558

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Insightful overview of many kinds of algebraic structures that are ubiquitous in mathematics. For researchers at graduate level and beyond.


Modern Algebra and the Rise of Mathematical Structures

Modern Algebra and the Rise of Mathematical Structures

Author: Leo Corry

Publisher: BirkhÀuser

Published: 2012-12-06

Total Pages: 463

ISBN-13: 3034879172

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This book describes two stages in the historical development of the notion of mathematical structures: first, it traces its rise in the context of algebra from the mid-1800s to 1930, and then considers attempts to formulate elaborate theories after 1930 aimed at elucidating, from a purely mathematical perspective, the precise meaning of this idea.


Linear Algebra Problem Book

Linear Algebra Problem Book

Author: Paul R. Halmos

Publisher: American Mathematical Soc.

Published: 1995-12-31

Total Pages: 349

ISBN-13: 1614442126

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Linear Algebra Problem Book can be either the main course or the dessert for someone who needs linear algebraand today that means every user of mathematics. It can be used as the basis of either an official course or a program of private study. If used as a course, the book can stand by itself, or if so desired, it can be stirred in with a standard linear algebra course as the seasoning that provides the interest, the challenge, and the motivation that is needed by experienced scholars as much as by beginning students. The best way to learn is to do, and the purpose of this book is to get the reader to DO linear algebra. The approach is Socratic: first ask a question, then give a hint (if necessary), then, finally, for security and completeness, provide the detailed answer.


Rings, Fields, and Vector Spaces

Rings, Fields, and Vector Spaces

Author: Bharath Sethuraman

Publisher: Springer Science & Business Media

Published: 1996-11-26

Total Pages: 210

ISBN-13: 0387948481

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Using the proof of the non-trisectability of an arbitrary angle as a final goal, the author develops in an easy conversational style the basics of rings, fields, and vector spaces. Originally developed as a text for an introduction to algebra course for future high-school teachers at California State University, Northridge, the focus of this book is on exposition. It would serve extremely well as a focused, one-semester introduction to abstract algebra.