A Field Guide to Algebra

A Field Guide to Algebra PDF Author: Antoine Chambert-Loir
Publisher: Springer Science & Business Media
ISBN: 0387214283
Category : Mathematics
Languages : en
Pages : 199

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Book Description
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 PDF Author: Antoine Chambert-Loir
Publisher: Springer Science & Business Media
ISBN: 0387214283
Category : Mathematics
Languages : en
Pages : 199

Get Book Here

Book Description
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 PDF Author: Antoine Chambert-Loir
Publisher: Springer Science & Business Media
ISBN: 038726955X
Category : Mathematics
Languages : en
Pages : 199

Get Book Here

Book Description
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 PDF Author: Antoine Chambert-Loir
Publisher: Springer Nature
ISBN: 3030615952
Category : Mathematics
Languages : en
Pages : 466

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Book Description
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 PDF Author: Bryan Bunch
Publisher: Macmillan
ISBN: 9780716744474
Category : Mathematics
Languages : en
Pages : 414

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Book Description
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 PDF Author: Gavin E Crooks
Publisher:
ISBN: 9781733938105
Category :
Languages : en
Pages : 210

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Book Description
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 Guide to Groups, Rings, and Fields

A Guide to Groups, Rings, and Fields PDF Author: Fernando Q. Gouvêa
Publisher: MAA
ISBN: 0883853558
Category : Mathematics
Languages : en
Pages : 329

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

Linear Algebra Problem Book

Linear Algebra Problem Book PDF Author: Paul R. Halmos
Publisher: American Mathematical Soc.
ISBN: 1614442126
Category : Mathematics
Languages : en
Pages : 349

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Book Description
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.

Algebraic Curves over a Finite Field

Algebraic Curves over a Finite Field PDF Author: J. W. P. Hirschfeld
Publisher: Princeton University Press
ISBN: 1400847419
Category : Mathematics
Languages : en
Pages : 717

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Book Description
This book provides an accessible and self-contained introduction to the theory of algebraic curves over a finite field, a subject that has been of fundamental importance to mathematics for many years and that has essential applications in areas such as finite geometry, number theory, error-correcting codes, and cryptology. Unlike other books, this one emphasizes the algebraic geometry rather than the function field approach to algebraic curves. The authors begin by developing the general theory of curves over any field, highlighting peculiarities occurring for positive characteristic and requiring of the reader only basic knowledge of algebra and geometry. The special properties that a curve over a finite field can have are then discussed. The geometrical theory of linear series is used to find estimates for the number of rational points on a curve, following the theory of Stöhr and Voloch. The approach of Hasse and Weil via zeta functions is explained, and then attention turns to more advanced results: a state-of-the-art introduction to maximal curves over finite fields is provided; a comprehensive account is given of the automorphism group of a curve; and some applications to coding theory and finite geometry are described. The book includes many examples and exercises. It is an indispensable resource for researchers and the ideal textbook for graduate students.

Rings, Fields, and Vector Spaces

Rings, Fields, and Vector Spaces PDF Author: Bharath Sethuraman
Publisher: Springer Science & Business Media
ISBN: 0387948481
Category : Mathematics
Languages : en
Pages : 210

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Book Description
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.

The Complete Idiot's Guide to Algebra

The Complete Idiot's Guide to Algebra PDF Author: W. Michael Kelley
Publisher: Penguin
ISBN: 9781592571611
Category : Juvenile Nonfiction
Languages : en
Pages : 340

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Book Description
The complete hands-on, how-to guide to engineering an outstanding customer experience! Beyond Disney and Harley-Davidson - Practical, start-to-finish techniques to be used right now, whatever is sold. Leverages the latest neuroscience to help readers assess, audit, design, implement and steward any customer experience. By Lou Carbone, CEO of Experience Engineering, Inc., the world's #1 customer experience consultancy.