Elements of Topology provides a basic introduction to point-set topology and algebraic topology. It is intended for advanced undergraduate and beginning graduate students with working knowledge of analysis and algebra. Topics discussed include the theory of convergence, function spaces, topological transformation groups, fundamental groups, and covering spaces.
The author makes the subject accessible by providing more than 250 worked examples and counterexamples with applications. The text also includes numerous end-of-section exercises to put the material into context.
This practical, friendly guide focuses on critical conceptstaught in a typical geometry course, from the properties oftriangles, parallelograms, circles, and cylinders, to the skillsand strategies you need to write geometry proofs. GeometryEssentials For Dummies is perfect for cramming or doing homework,or as a reference for parents helping kids study for exams.
Get down to the basics — get a handle on the basics ofgeometry, from lines, segments, and angles, to vertices, altitudes,and diagonals
Conquer proofs with confidence — follow easy-to-graspinstructions for understanding the components of a formal geometryproof
Take triangles in strides — learn how to take in atriangle's sides, analyze its angles, work through an SAS proof,and apply the Pythagorean Theorem
Polish up on polygons — get the lowdown on quadrilateralsand other polygons: their angles, areas, properties, perimeters,and much more
Open the book and find:
Plain-English explanations of geometry terms
Tips for tackling geometry proofs
The seven members of the quadrilateral family
Straight talk on circles
Essential triangle formulas
The lowdown on 3-D: spheres, cylinders, prisms, and pyramids
Ten things to use as reasons in geometry proofs
Core concepts about the geometry of shapes and geometryproofs
Critical theorems, postulates, and definitions
The principles and formulas you need to know
About the Book
Established as a successful practical workbook series with more than 20 titles in the language learning category, Practice Makes Perfect now provides the same clear, concise approach and extensive exercises to key fields within mathematics. The key to the Practice Makes Perfect series is the extensive exercises that provide learners with all the practice they need for mastery.