You, too, can understand geometry -- just ask Dr. Math! Are things starting to get tougher in geometry class? Don't panic. Dr. Math--the popular online math resource--is here to help you figure out even the trickiest of your geometry problems. Students just like you have been turning to Dr. Math for years asking questions about math problems, and the math doctors at The Math Forum have helped them find the answers with lots of clear explanations and helpful hints. Now, with Dr. Math Presents More Geometry, you'll learn just what it takes to succeed in this subject. You'll find the answers to dozens of real questions from students in a typical geometry class. You'll also find plenty of hints and shortcuts for using coordinate geometry, finding angle relationships, and working with circles. Pretty soon, everything from the Pythagorean theorem to logic and proofs will make more sense. Plus, you'll get plenty of tips for working with all kinds of real-life problems. You won't find a better explanation of high school geometry anywhere!

You, Too, Can Understand Geometry - Just Ask Dr. Math! Have you started studying geometry in math class? Do you get totally lost trying to find the perimeter of a rectangle or the circumference of a circle? Don't worry. Grasping the basics of geometry doesn't have to be as scary as it sounds. Dr. Math-the popular online math resource-is here to help! Students just like you have been turning to Dr. Math for years asking questions about math problems, and the math doctors at The Math Forum have helped them find the answers with lots of clear explanations and helpful hints. Now, with Dr. Math Introduces Geometry, you'll learn just what it takes to succeed in this subject. You'll find the answers to dozens of real questions from students who needed help understanding the basic concepts of geometry, from lines, rays, and angles to measuring three-dimensional objects and applying geometry in the real world. Pretty soon, everything from recognizing types of quadrilaterals to finding surface area to counting lines of symmetry will make sense. Plus, you'll get plenty of tips for working with tricky problems submitted by other kids who are just as confused as you are. You won't find a better introduction to the world and language of geometry anywhere!

My career has usually been funded by grants. Here are some of the proposals I wrote at the University of Colorado and at Drexel University. Successful grant proposals are tricky to write. The ones reproduced here might provide helpful examples. They may also provide explicit statements of some of the goals of my research over the years.

This book is unique in that it looks at geometry from 4 different viewpoints - Euclid-style axioms, linear algebra, projective geometry, and groups and their invariants Approach makes the subject accessible to readers of all mathematical tastes, from the visual to the algebraic Abundantly supplemented with figures and exercises

Demonstrates relationships between different types of geometry. Provides excellent overview of the foundations and historical evolution of geometrical concepts. Exercises (no solutions). Includes 98 illustrations.

Greetings Cadet! Congratulations on being accepted into the prestigious Astro Academy for math! Now strap on your space boots, secure you helmet and let’s get ready for a mathematical journey like no other! Hop on board the spaceship School of Numbers and head off on an intergalactic mathematical journey that will introduce young readers to key concepts including arithmetic, shapes, fractions, percentages, and sequences. Six eccentric professors will teach budding space mathematic Cadets all there is to know about the world of numbers! Meet Captain Archimedes Brown who keeps everyone in order; Lois Carmen Denominator who’s got a passion for fractions; Di Ameter who’s a stickler for geometry; Al Jabra who loves algebra; Ava Ridge who’s looney for statistics; and last but certainly not least, Adam Up who just can’t get enough of arithmetic! Float into this gravity-free classroom, prepare yourself for antics aplenty and get ready to see math in action like never before.

Every 3rd issue is a quarterly cumulation.

Finally, a Clear Introduction to Algebra -- Courtesy of Dr. Math ? ! You've made it through pre-algebra, but now things are getting harder in algebra class. Never fear! Dr. Math?-the popular online math resource-is here to help you figure out even the trickiest of your algebra problems. Students just like you have been turning to Dr. Math for years asking questions about math problems, and the math doctors at the Math Forum have helped them find the answers with lots of clear explanations and helpful hints. Now, with Dr. Math? Explains Algebra, you'll learn just what it takes to succeed in this subject. You'll find the answers to dozens of real questions from students who needed help understanding the basic math concepts in a typical algebra class. You'll find plenty of hints and shortcuts for working with unknown quantities. Pretty soon, everything from linear equations to polynomials to factoring will make sense. Plus, you'll get plenty of tips for working with all kinds of real-life problems. You won't find a better explanation of the world and language of algebra anywhere!

An undergraduate textbook devoted exclusively to relationships between mathematics and art, Viewpoints is ideally suited for math-for-liberal-arts courses and mathematics courses for fine arts majors. The textbook contains a wide variety of classroom-tested activities and problems, a series of essays by contemporary artists written especially for the book, and a plethora of pedagogical and learning opportunities for instructors and students. Viewpoints focuses on two mathematical areas: perspective related to drawing man-made forms and fractal geometry related to drawing natural forms. Investigating facets of the three-dimensional world in order to understand mathematical concepts behind the art, the textbook explores art topics including comic, anamorphic, and classical art, as well as photography, while presenting such mathematical ideas as proportion, ratio, self-similarity, exponents, and logarithms. Straightforward problems and rewarding solutions empower students to make accurate, sophisticated drawings. Personal essays and short biographies by contemporary artists are interspersed between chapters and are accompanied by images of their work. These fine artists--who include mathematicians and scientists--examine how mathematics influences their art. Accessible to students of all levels, Viewpoints encourages experimentation and collaboration, and captures the essence of artistic and mathematical creation and discovery. Classroom-tested activities and problem solving Accessible problems that move beyond regular art school curriculum Multiple solutions of varying difficulty and applicability Appropriate for students of all mathematics and art levels Original and exclusive essays by contemporary artists Forthcoming: Instructor's manual (available only to teachers)

This book provides a comprehensive account of a modern generalisation of differential geometry in which coordinates need not commute. This requires a reinvention of differential geometry that refers only to the coordinate algebra, now possibly noncommutative, rather than to actual points. Such a theory is needed for the geometry of Hopf algebras or quantum groups, which provide key examples, as well as in physics to model quantum gravity effects in the form of quantum spacetime. The mathematical formalism can be applied to any algebra and includes graph geometry and a Lie theory of finite groups. Even the algebra of 2 x 2 matrices turns out to admit a rich moduli of quantum Riemannian geometries. The approach taken is a `bottom up’ one in which the different layers of geometry are built up in succession, starting from differential forms and proceeding up to the notion of a quantum `Levi-Civita’ bimodule connection, geometric Laplacians and, in some cases, Dirac operators. The book also covers elements of Connes’ approach to the subject coming from cyclic cohomology and spectral triples. Other topics include various other cohomology theories, holomorphic structures and noncommutative D-modules. A unique feature of the book is its constructive approach and its wealth of examples drawn from a large body of literature in mathematical physics, now put on a firm algebraic footing. Including exercises with solutions, it can be used as a textbook for advanced courses as well as a reference for researchers.