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Elements of Differential Geometry
This text is intended for an advanced undergraduate (having taken linear algebra and multivariable calculus). It provides the necessary background for a more abstract course in differential geometry. The inclusion of diagrams is done without sacrificing the rigor of the material. For all readers interested in differential geometry.
Geometry
Geometry: A Metric Approach with Models, imparts a real feeling for Euclidean and non-Euclidean (in particular, hyperbolic) geometry. Intended as a rigorous first course, the book introduces and develops the various axioms slowly, and then, in a departure from other texts, continually illustrates the major definitions and axioms with two or three models, enabling the reader to picture the idea more clearly. The second edition has been expanded to include a selection of expository exercises. Additionally, the authors have designed software with computational problems to accompany the text. This software may be obtained from George Parker.
Problems and Proofs in Numbers and Algebra
Focusing on an approach of solving rigorous problems and learning how to prove, this volume is concentrated on two specific content themes, elementary number theory and algebraic polynomials. The benefit to readers who are moving from calculus to more abstract mathematics is to acquire the ability to understand proofs through use of the book and the multitude of proofs and problems that will be covered throughout. This book is meant to be a transitional precursor to more complex topics in analysis, advanced number theory, and abstract algebra. To achieve the goal of conceptual understanding, a large number of problems and examples will be interspersed through every chapter. The problems are ...
Raising Big Smiling Squash Kids
Offering a complete roadmap to all the game has to offer, this resource offers practical advice ranging from the best age to get your kid started in squash, to pursuing a career in professional squash, to finding ways squash players can give back to their communities.
Landscape, Well-Being and Environment
Well-being is now firmly established as an overarching theme of key concern to all professionals that work, manage or design the environment. However, well-being is a complex multi-dimensional issue rooted in the ways that we encounter, perceive and interpret the environment. No single discipline can claim to have sufficient knowledge to fully explain the types of interactions that occur, therefore there is a need to draw together a wide range of professions who are exploring the consequences of their actions upon the well-being of individuals and communities. This edited work addresses the above, consisting of a collection of studies which embrace different aspects of environment, landscape...
Homeschooling
This intimate, eminently practical memoir of a successful homeschooled family of six children illuminates today’s most exciting choice in education, and shows how it works from cradle to college. What is it that homeschoolers do that the public schools can’t or won’t? There are at least as many answers as there are studies. But nothing can capture the homeschooling experience in all its richness like the story of a real family that homeschools its children in middleclass America. Homeschooling: A Family’s Journey is the perfect book for those millions of Americans who may know someone who homeschools, who may have read about it, thought about it, and wondered whether homeschooling is...
King Richard II
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Tasks in Primary Mathematics Teacher Education
Tasks in Primary Mathematics Teacher Education is intended to advance relevant research and innovative international practices in the preparation and professional development of mathematics teachers. Emerging from discussion at the ICMI study on teacher professional development, this volume, focused on primary and elementary teachers, culls a richness that can only be found by gathering wisdom from varied experiences around the world. The choice of tasks, and the associated pedagogies, is a key aspect of teaching and learning mathematics. Arguing that what students learn is largely defined by the tasks they are given, several major themes are presented. One such major strand, the form, function and focus of tasks, is discussed throughout several chapters, offering analysis, discussion of implementation, and exemplars of a broader category of illustrative techniques for developing critical understanding.
Geometry
This book is intended as a first rigorous course in geometry. As the title indicates, we have adopted Birkhoff's metric approach (i.e., through use of real numbers) rather than Hilbert's synthetic approach to the subject. Throughout the text we illustrate the various axioms, definitions, and theorems with models ranging from the familiar Cartesian plane to the Poincare upper half plane, the Taxicab plane, and the Moulton plane. We hope that through an intimate acquaintance with examples (and a model is just an example), the reader will obtain a real feeling and intuition for non Euclidean (and in particular, hyperbolic) geometry. From a pedagogical viewpoint this approach has the advantage o...
Theory of Parallels
LOBACHEVSKY was the first man ever to publish a non-Euclidean geometry. Of the immortal essay now first appearing in English Gauss said, "The author has treated the matter with a master-hand and in the true geometer's spirit. I think I ought to call your attention to this book, whose perusal cannot fail to give you the most vivid pleasure." Clifford says, "It is quite simple, merely Euclid without the vicious assumption, but the way things come out of one another is quite lovely." * * * "What Vesalius was to Galen, what Copernicus was to Ptolemy, that was Lobachevsky to Euclid." Says Sylvester, "In Quaternions the example has been given of Algebra released from the yoke of the commutative pr...
