By Mark V. Lawson
Algebra & Geometry: An creation to school Mathematics offers a bridge among highschool and undergraduate arithmetic classes on algebra and geometry. the writer exhibits scholars how arithmetic is greater than a suite of equipment via proposing very important principles and their historic origins during the textual content. He encompasses a hands-on method of proofs and connects algebra and geometry to varied applications.
The textual content makes a speciality of linear equations, polynomial equations, and quadratic kinds. the 1st a number of chapters hide foundational subject matters, together with the significance of proofs and houses mostly encountered while learning algebra. the rest chapters shape the mathematical middle of the publication. those chapters clarify the answer of alternative forms of algebraic equations, the character of the ideas, and the interaction among geometry and algebra
Read Online or Download Algebra & Geometry: An Introduction to University Mathematics PDF
Best geometry & topology books
The idea that of symmetric house is of imperative significance in lots of branches of arithmetic. Compactifications of those areas were studied from the issues of view of illustration idea, geometry, and random walks. This paintings is dedicated to the examine of the interrelationships between those quite a few compactifications and, particularly, specializes in the martin compactifications.
Algebraic topology (also often called homotopy thought) is a flourishing department of recent arithmetic. it's very a lot a world topic and this is often mirrored within the historical past of the 36 best specialists who've contributed to the guide. Written for the reader who already has a grounding within the topic, the amount contains 27 expository surveys overlaying the main lively parts of analysis.
This article on research of Riemannian manifolds is an intensive advent to subject matters coated in complicated examine monographs on Atiyah-Singer index thought. the most subject is the research of warmth stream linked to the Laplacians on differential kinds. this offers a unified therapy of Hodge concept and the supersymmetric facts of the Chern-Gauss-Bonnet theorem.
This monograph provides a assessment of the root of operad idea. It additionally reviews buildings of modules over operads as a brand new equipment to version functors among different types of algebras as successfully as operads version different types of algebras.
- Gems of Geometry
- Unexpected Expectations: The Curiosities of a Mathematical Crystal Ball
- Permanents: 006 (Encyclopedia of Mathematics and its Applications)
- Homology Theory: An Introduction to Algebraic Topology (Graduate Texts in Mathematics)
Extra resources for Algebra & Geometry: An Introduction to University Mathematics