It is a vision for a beautiful book but, unfortunately, he only partially succeeds in fulfilling it. Naturally, the book does not cover all of the topics typically found in an undergraduate algebra or geometry text. Beardon focuses on groups and vector spaces. The basics of these subjects are introduced and then given meaning through geometry. The algebraic ideas are tied together nicely by the geometric theme. The algebraic concepts are all introduced for the purpose of describing or studying geometric maps: symmetries, isometries, etc.
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Gardakora Want to Read saving…. To aid in this, the text is divided into short chapters, each with exercises at the end. Learn more about Amazon Giveaway. Algebra and Geometry: Alan F.
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Algebra and Geometry : Alan F. Beardon : Learn more about Amazon Prime. It covers the ideas of complex numbers, scalar and vector products, determinants, linear algebra, group theory, altebra groups, symmetry groups and aspects of geometry including groups of isometries, rotations, and spherical geometry.
The emphasis is always on the interaction between these topics, and each topic is constantly illustrated by using it to describe and discuss the other topics. The emphasis is on the interaction among these topics.
Top Reviews Most recent Top Reviews. This means not going too deep too quickly, but rather snorkeling around the entire reef, before you gear up for further exploration.
If you are someone interested in learning linear algebra, geometry, group theory, Mobius transformations, complex variables all in a rigorous yet introductory level, this is the book for you.
Get fast, free shipping with Amazon Prime. Evan marked it as to-read Dec 29, Alan Beardon covers the ideas of complex numbers, scalar and vector products, determinants, linear algebra, group theory, permutation groups, symmetry groups, and various aspects of geometry including groups of isometries, rotations, and spherical geometry.
Many of the ideas are developed gradually throughout the book. Jonas rated it liked it Nov 16, For ease of use by students, the text is divided into short sections, with exercises at the end of each section. Complex Analysis Undergraduate Texts in Mathematics. It is a disgrace that Cambridge UP would issue an eBook in such poor condition.
0521890497 - Algebra and Geometry by Beardon, Alan F
Vectors in three-dimensional space; 5. Refresh and try again. It also links to an electronic maths thesaurus, giving algebbra, examples and links both to the book and to external sources. This text gives a basic introduction, and a unified approach, to algebra and geometry. The related website features an HTML version of the book, extra text at higher and lower levels, and more exercises and examples. Well written, not enough examples and not enough linear algebrabut good none the less.
Algebra and geometry
BEARDON ALGEBRA AND GEOMETRY PDF