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Fundamental Concepts of Algebra
Uncommonly interesting introduction illuminates complexities of higher mathematics while offering a thorough understanding of elementary mathematics. Covers development of complex number system and elementary theories of numbers, polynomials and operations, determinants, matrices, constructions and graphical representations. Several exercises — without solutions.
- GenresReferenceMathematics
320 pages, Paperback
First published October 1, 1982
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Displaying 1 - 3 of 3 reviews
February 25, 2021
Excellent.
A thorough coverage of elementary algebra. Numbers, Polynomials, Equations, Matrices and Determinants. Linkages. Graphs ( of the visual kind ). A slower, more old fashioned, and probably better treatment than today's anguished, rushed and traumatized texts. And a good reminder of some of the stuff that has dropped out of modern curricula. Some aspects of the theory of equations, and most notably properties of linkages. Linkages are cool and apparently were all the rave in the late 19th century.
The only flaw in the book is a tendency to include too much. There really was no need to drift into elementary analysis and calculus. Though this too was done well.
A thorough coverage of elementary algebra. Numbers, Polynomials, Equations, Matrices and Determinants. Linkages. Graphs ( of the visual kind ). A slower, more old fashioned, and probably better treatment than today's anguished, rushed and traumatized texts. And a good reminder of some of the stuff that has dropped out of modern curricula. Some aspects of the theory of equations, and most notably properties of linkages. Linkages are cool and apparently were all the rave in the late 19th century.
The only flaw in the book is a tendency to include too much. There really was no need to drift into elementary analysis and calculus. Though this too was done well.
June 1, 2017
Good introduction to algebra but could be clearer in places. Certainly improved my understanding.
June 18, 2016
Wonderfully written and engaging, this book contains introductory concepts of algebra. However, don't let it fool you, it also says that this book is intended for classes where someone has had some calculus. However, it has stuff for people just starting with Algebra too.
The book has seven main chapters. The first chapter is called Our Number System; it contains information on sets, Peano's Postulates, Transfinite Cardinal Numbers and other such things. The Second Chapter is called Theory of Numbers; it contains information on different bases divisibility, the Euclidean Algorithm and other stuff. Chapter three is the Theory of Polynomials. Chapter four is the Theory of Equations. Chapter five covers Determinants and Matrices. Chapter six talks about Constructions using Classical and Nonclassical Methods. Chapter Seven talks about Graphical Representations.
After the seven main chapters comes a Bibliography, information on the Symbols and Notation used, and an index on the material. Each section in the chapter has some exercise problems to test your ability, and are related to the material from before.
The book has seven main chapters. The first chapter is called Our Number System; it contains information on sets, Peano's Postulates, Transfinite Cardinal Numbers and other such things. The Second Chapter is called Theory of Numbers; it contains information on different bases divisibility, the Euclidean Algorithm and other stuff. Chapter three is the Theory of Polynomials. Chapter four is the Theory of Equations. Chapter five covers Determinants and Matrices. Chapter six talks about Constructions using Classical and Nonclassical Methods. Chapter Seven talks about Graphical Representations.
After the seven main chapters comes a Bibliography, information on the Symbols and Notation used, and an index on the material. Each section in the chapter has some exercise problems to test your ability, and are related to the material from before.
Displaying 1 - 3 of 3 reviews