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This is the only text that introduces differential geometry by combining the following: an intuitive geometric foundation, a rigorous connection with the standard formalisms, computer exercises with Maple, and a problems-based approach. Has running theme on the intrinsic/extrinsic view of curves and surfaces. *Uses basic intuitive geometry as a starting point which makes the material more accessible and the formalism more meaningful. *Topics are based on and introduced through 55 core problems. *The ribbon test for geometrically finding geodesics is introduced in Chapter 1. Then it is proven that it works in Chapter 3. Finally, using ruled surfaces in Chapter 7, it is proven that almost all geodesics can be found this way. *Introduces hyperbolic geometry in the first chapter. *Supports an intuitive grasp of concepts. *Includes 19 computer projects for use with Maple. *An Instructor's Manual with complete solutions for each problem is available.
A map of today's cultural landscape, guiding Christians toward more effective communication with the postmodern world.
The distinctive approach of Henderson and Taimina's volume stimulates readers to develop a broader, deeper, understanding of mathematics through active experience--including discovery, discussion, writing fundamental ideas and learning about the history of those ideas. A series of interesting, challenging problems encourage readers to gather and discuss their reasonings and understanding. The volume provides an understanding of the possible shapes of the physical universe. The authors provide extensive information on historical strands of geometry, straightness on cylinders and cones and hyperbolic planes, triangles and congruencies, area and holonomy, parallel transport, SSS, ASS, SAA, and AAA, parallel postulates, isometries and patterns, dissection theory, square roots, pythagoras and similar triangles, projections of a sphere onto a plane, inversions in circles, projections (models) of hyperbolic planes, trigonometry and duality, 3-spheres and hyperbolic 3-spaces and polyhedra. For mathematics educators and other who need to understand the meaning of geometry.
Understanding International Law presents a comprehensive,accessible introduction to the various aspects of international lawwhile addressing its interrelationship with world politics. Presents well-organized, balanced coverage of all aspects ofinternational law Features an accompanying website with direct access to courtcases and study and discussion questions. Visit the site at:ahref="http://www.wiley.com/go/internationallaw"www.wiley.com/go/internationallaw/a Includes discussion of the efficacy of international law, atopic unique among international law texts Offers discussion of other topics that most texts do notaddress, such as complete chapters on making the world safer, humanrights, the environment, and the world economy
In 1967, George Henderson, the son of uneducated Alabama sharecroppers, accepted a full-time professorship at the University of Oklahoma, despite his mentor's warning to avoid the "redneck school in a backward state." Henderson became the university's third African American professor, a hire that seemed to suggest the dissolving of racial divides. However, when real estate agents in the university town of Norman denied the Henderson family their first three choices of homes, the sociologist and educator realized he still faced some formidable challenges. In this stirring memoir, Henderson recounts his formative years at the University of Oklahoma, during the late 1960s and early 1970s. He de...
Winner, Euler Book Prize, awarded by the Mathematical Association of America. With over 200 full color photographs, this non-traditional, tactile introduction to non-Euclidean geometries also covers early development of geometry and connections between geometry, art, nature, and sciences. For the crafter or would-be crafter, there are detailed instructions for how to crochet various geometric models and how to use them in explorations. New to the 2nd Edition; Daina Taimina discusses her own adventures with the hyperbolic planes as well as the experiences of some of her readers. Includes recent applications of hyperbolic geometry such as medicine, architecture, fashion & quantum computing.
'For those who fear the worst for the sport they love, this is like cool, clear water for a man dying of thirst. It's barnstorming, coruscating stuff, and as fine a book about the game as you'll read for years' Mail on Sunday 'Charming . . . a threnody for a vanished and possibly mythical England' Sebastian Faulks, Sunday Times 'Lyrical . . . [Henderson's] pen is filled with the romantic spirit of the great Neville Cardus . . . This book is an extended love letter, a beautifully written one, to a world that he is desperate to keep alive for others to discover and share. Not just his love of cricket, either, but of poetry and classical music and fine cinema' The Times 'To those who love both ...
A wide-ranging manual on sheep diseases which offers to increase productivity and profitability by improving the standard of husbandry and upgrading the health status of the flock. The book stresses the understanding of the causes and development of disease so that a full prevention programme can be planned. A major section describes the latest techniques for fertility control.
Every boy has dreams of the man he will become--exploring the world, fighting the enemy, and being dangerous for good. He imagines himself as the hero, the expert, the one others look up to. Then somewhere along the way, the lies of the enemy knock him down, his dreams are shattered, and he loses purpose as the enemy attempts to rob him of his true identity. In this hard-hitting book, world-class hunter, adventurer, and popular speaker Brent Henderson takes men on a journey to some of the most dangerous and deadly places on earth. Along the way, he helps each man discover that the most powerful force in the universe can be found in his spirit, where God resides. He shows men how to recover what's been lost by answering their biggest questions: Who am I really? Where does my value come from? and Am I enough? The perfect gift for Father's Day, The Roar Within will set men free and equip them to live lives of purpose, courage, and confidence.