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Designed for mathematics majors and other students who intend to teach mathematics at the secondary school level, College Geometry: A Unified Development unifies the three classical geometries within an axiomatic framework. The author develops the axioms to include Euclidean, elliptic, and hyperbolic geometry, showing how geometry has real and far-reaching implications. He approaches every topic as a fresh, new concept and carefully... more...

This textbook offers a high-level introduction to multi-variable differential calculus. By introducing differential forms early as a basic concept, the structures behind Stokes' and Gauss' theorems become much clearer. Furthermore, it offers a natural route to differential geometry.

Contents: Introduction; Metric Spaces, Equivalent Spaces, Classification of Subsets, and the Space of Fractals; Transformation on Metric Spaces, Contraction Mappings, and the Construction of Fractals; Chaotic Dynamics on Fractals; Fractal Dimension; Fractal Interpolation; Julia Sets; Parameter Spaces and Mandelbrot Sets; Introduction to Measures on Fractals. Heavily illustrated, including 32 color plates.

Geometry undoubtedly plays a central role in modern mathematics. And it is not only a physiological fact that 80 % of the information obtained by a human is absorbed through the eyes. It is easier to grasp mathematical con- cepts and ideas visually than merely to read written symbols and formulae. Without a clear geometric perception of an analytical mathematical problem our intuitive understanding is restricted, while a geometric interpretation points... more...

This book presents methods of solving problems in three areas of elementary combinatorial mathematics: classical combinatorics, combinatorial arithmetic, and combinatorial geometry. Brief theoretical discussions are immediately followed by carefully worked-out examples of increasing degrees of difficulty and by exercises that range from routine to rather challenging. The book features approximately 310 examples and 650 exercises.


This volume collects contributions by leading experts in the area of commutative algebra related to the  INdAM meeting “Homological and Computational Methods in Commutative Algebra” held in Cortona (Italy) from May 30 to  June 3, 2016 . The conference and this volume are dedicated to Winfried Bruns on the occasion of his 70th birthday. In particular, the topics of this book strongly reflect the variety of Winfried Bruns’... more...

For seven years, Paul Lockhart’s A Mathematician’s Lament enjoyed a samizdat-style popularity in the mathematics underground, before demand prompted its 2009 publication to even wider applause and debate. An impassioned critique of K–12 mathematics education, it outlined how we shortchange students by introducing them to math the wrong way. Here Lockhart offers the positive side of the math education story by showing us how math... more...

From reviews of the first edition: "This is a scholarly tour de force through the world of morphological image analysis […]. I recommend this book unreservedly as the best one I have encountered on this particular topic […]" BMVA News

REA's GED® Math Test Tutor - Focus on the most challenging part of the GED® test! Revised Second Edition It's like having your own tutor… Each year, test-takers report that the Mathematical Reasoning test is the toughest of all the GED® tests. That's why REA offers the most complete guide to success on the GED® Math test. Written by Sandra Rush, a GED® Math tutor and test expert - This revised second edition of our best-selling test prep is... more...

Tough Test Questions? Missed Lectures? Not Enough Time? Textbook too pricey? Fortunately, there's Schaum's. This all-in-one-package includes more than 650 fully-solved problems, examples, and practice exercises to sharpen your problem-solving skills. Plus, you will have access to 25 detailed videos featuring math instructors who explain how to solve the most commonly tested problems--it's just like having your own virtual tutor!... more...