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Author :
Publisher :
ISBN 13 : 9780724080717
Total Pages : 106 pages
Book Rating : 4.0/5 (87 download)
Download or read book Euclid revisited written by and published by . This book was released on 1983 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robin Hartshorne
Publisher : Springer Science & Business Media
ISBN 13 : 0387226761
Total Pages : 535 pages
Book Rating : 4.3/5 (872 download)
Download or read book Geometry: Euclid and Beyond written by Robin Hartshorne and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a unique opportunity to understand the essence of one of the great thinkers of western civilization. A guided reading of Euclid's Elements leads to a critical discussion and rigorous modern treatment of Euclid's geometry and its more recent descendants, with complete proofs. Topics include the introduction of coordinates, the theory of area, history of the parallel postulate, the various non-Euclidean geometries, and the regular and semi-regular polyhedra.
Author : John McCleary
Publisher : Cambridge University Press
ISBN 13 : 0521116074
Total Pages : 375 pages
Book Rating : 4.5/5 (211 download)
Download or read book Geometry from a Differentiable Viewpoint written by John McCleary and published by Cambridge University Press. This book was released on 2013 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thoroughly revised second edition of a textbook for a first course in differential/modern geometry that introduces methods within a historical context.
Author : H. S. M. Coxeter
Publisher : American Mathematical Society
ISBN 13 : 1470466414
Total Pages : 193 pages
Book Rating : 4.4/5 (74 download)
Download or read book Geometry Revisited written by H. S. M. Coxeter and published by American Mathematical Society. This book was released on 2021-12-30 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: Among the many beautiful and nontrivial theorems in geometry found in Geometry Revisited are the theorems of Ceva, Menelaus, Pappus, Desargues, Pascal, and Brianchon. A nice proof is given of Morley's remarkable theorem on angle trisectors. The transformational point of view is emphasized: reflections, rotations, translations, similarities, inversions, and affine and projective transformations. Many fascinating properties of circles, triangles, quadrilaterals, and conics are developed.
Author : R. C. J. Nixon
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (94 download)
Download or read book Euclid Revisited written by R. C. J. Nixon and published by . This book was released on 1895 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : G. Everest
Publisher : Springer Science & Business Media
ISBN 13 : 1852339179
Total Pages : 296 pages
Book Rating : 4.8/5 (523 download)
Download or read book An Introduction to Number Theory written by G. Everest and published by Springer Science & Business Media. This book was released on 2007-05-21 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes up-to-date material on recent developments and topics of significant interest, such as elliptic functions and the new primality test Selects material from both the algebraic and analytic disciplines, presenting several different proofs of a single result to illustrate the differing viewpoints and give good insight
Author : Michael Allan Wolf
Publisher :
ISBN 13 :
Total Pages : 216 pages
Book Rating : 4.F/5 ( download)
Download or read book The Zoning of America written by Michael Allan Wolf and published by . This book was released on 2008 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: Revisits the landmark case Euclid v. Ambler, in which the Supreme Court surprisingly upheld the constitutionality of local zoning laws protecting residential neighborhoods from real and perceived disturbances, a decision that forever changed the way American cities and their suburbs were organized.
Author : Teo Mora
Publisher : Cambridge University Press
ISBN 13 : 9780521811569
Total Pages : 792 pages
Book Rating : 4.8/5 (115 download)
Download or read book Solving Polynomial Equation Systems II written by Teo Mora and published by Cambridge University Press. This book was released on 2003 with total page 792 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume focuses on Buchberger theory and its application to the algorithmic view of commutative algebra. The presentation is based on the intrinsic linear algebra structure of Groebner bases, and thus elementary considerations lead easily to the state-of-the-art in its algorithmization.
Author : Maureen T. Carroll
Publisher : American Mathematical Soc.
ISBN 13 : 1470448432
Total Pages : 480 pages
Book Rating : 4.4/5 (74 download)
Download or read book Geometry: The Line and the Circle written by Maureen T. Carroll and published by American Mathematical Soc.. This book was released on 2018-12-20 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometry: The Line and the Circle is an undergraduate text with a strong narrative that is written at the appropriate level of rigor for an upper-level survey or axiomatic course in geometry. Starting with Euclid's Elements, the book connects topics in Euclidean and non-Euclidean geometry in an intentional and meaningful way, with historical context. The line and the circle are the principal characters driving the narrative. In every geometry considered—which include spherical, hyperbolic, and taxicab, as well as finite affine and projective geometries—these two objects are analyzed and highlighted. Along the way, the reader contemplates fundamental questions such as: What is a straight line? What does parallel mean? What is distance? What is area? There is a strong focus on axiomatic structures throughout the text. While Euclid is a constant inspiration and the Elements is repeatedly revisited with substantial coverage of Books I, II, III, IV, and VI, non-Euclidean geometries are introduced very early to give the reader perspective on questions of axiomatics. Rounding out the thorough coverage of axiomatics are concluding chapters on transformations and constructibility. The book is compulsively readable with great attention paid to the historical narrative and hundreds of attractive problems.
Author : Felipe Cucker
Publisher : Cambridge University Press
ISBN 13 : 0521429633
Total Pages : 427 pages
Book Rating : 4.5/5 (214 download)
Download or read book Manifold Mirrors written by Felipe Cucker and published by Cambridge University Press. This book was released on 2013-04-25 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fascinating book will interest anyone wanting to learn more about the relationship between mathematics and the arts.
Author : Roger A. Johnson
Publisher : Courier Corporation
ISBN 13 : 048615498X
Total Pages : 338 pages
Book Rating : 4.4/5 (861 download)
Download or read book Advanced Euclidean Geometry written by Roger A. Johnson and published by Courier Corporation. This book was released on 2013-01-08 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic text explores the geometry of the triangle and the circle, concentrating on extensions of Euclidean theory, and examining in detail many relatively recent theorems. 1929 edition.
Author : F. H. Buckley
Publisher : Duke University Press
ISBN 13 : 0822380129
Total Pages : 479 pages
Book Rating : 4.8/5 (223 download)
Download or read book The Fall and Rise of Freedom of Contract written by F. H. Buckley and published by Duke University Press. This book was released on 1999-08-27 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: Declared dead some twenty-five years ago, the idea of freedom of contract has enjoyed a remarkable intellectual revival. In The Fall and Rise of Freedom of Contract leading scholars in the fields of contract law and law-and-economics analyze the new interest in bargaining freedom. The 1970s was a decade of regulatory triumphalism in North America, marked by a surge in consumer, securities, and environmental regulation. Legal scholars predicted the “death of contract” and its replacement by regulation and reliance-based theories of liability. Instead, we have witnessed the reemergence of free bargaining norms. This revival can be attributed to the rise of law-and-economics, which laid bare the intellectual failure of anticontractarian theories. Scholars in this school note that consumers are not as helpless as they have been made out to be, and that intrusive legal rules meant ostensibly to help them often leave them worse off. Contract law principles have also been very robust in areas far afield from traditional contract law, and the essays in this volume consider how free bargaining rights might reasonably be extended in tort, property, land-use planning, bankruptcy, and divorce and family law. This book will be of particular interest to legal scholars and specialists in contract law. Economics and public policy planners will also be challenged by its novel arguments. Contributors. Gregory S. Alexander, Margaret F. Brinig, F. H. Buckley, Robert Cooter, Steven J. Eagle, Robert C. Ellickson, Richard A. Epstein, William A. Fischel, Michael Klausner, Bruce H. Kobayashi, Geoffrey P. Miller, Timothy J. Muris, Robert H. Nelson, Eric A. Posner, Robert K. Rasmussen, Larry E. Ribstein, Roberta Romano, Paul H. Rubin, Alan Schwartz, Elizabeth S. Scott, Robert E. Scott, Michael J. Trebilcock
Author : David T. Beito
Publisher : University of Michigan Press
ISBN 13 : 9780472088379
Total Pages : 486 pages
Book Rating : 4.0/5 (883 download)
Download or read book The Voluntary City written by David T. Beito and published by University of Michigan Press. This book was released on 2002 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: Challenges the orthodoxy that insists government alone can improve community life
Author : Saul Stahl
Publisher : Courier Corporation
ISBN 13 : 0486134989
Total Pages : 481 pages
Book Rating : 4.4/5 (861 download)
Download or read book Geometry from Euclid to Knots written by Saul Stahl and published by Courier Corporation. This book was released on 2012-05-23 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text provides a historical perspective on plane geometry and covers non-neutral Euclidean geometry, circles and regular polygons, projective geometry, symmetries, inversions, informal topology, and more. Includes 1,000 practice problems. Solutions available. 2003 edition.
Author : David Berlinski
Publisher : Basic Books
ISBN 13 : 0465038638
Total Pages : 193 pages
Book Rating : 4.4/5 (65 download)
Download or read book The King of Infinite Space written by David Berlinski and published by Basic Books. This book was released on 2014-04-08 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometry defines the world around us, helping us make sense of everything from architecture to military science to fashion. And for over two thousand years, geometry has been equated with Euclid's Elements, arguably the most influential book in the history of mathematics In The King of Infinite Space, renowned mathematics writer David Berlinski provides a concise homage to this elusive mathematician and his staggering achievements. Berlinski shows that, for centuries, scientists and thinkers from Copernicus to Newton to Einstein have relied on Euclid's axiomatic system, a method of proof still taught in classrooms around the world. Euclid's use of elemental logic -- and the mathematical statements he and others built from it -- have dramatically expanded the frontiers of human knowledge. The King of Infinite Space presents a rich, accessible treatment of Euclid and his beautifully simple geometric system, which continues to shape the way we see the world.
Author : Gerard A. Venema
Publisher : American Mathematical Soc.
ISBN 13 : 1614441111
Total Pages : 129 pages
Book Rating : 4.6/5 (144 download)
Download or read book Exploring Advanced Euclidean Geometry with GeoGebra written by Gerard A. Venema and published by American Mathematical Soc.. This book was released on 2013-12-31 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an inquiry-based introduction to advanced Euclidean geometry. It utilizes dynamic geometry software, specifically GeoGebra, to explore the statements and proofs of many of the most interesting theorems in the subject. Topics covered include triangle centers, inscribed, circumscribed, and escribed circles, medial and orthic triangles, the nine-point circle, duality, and the theorems of Ceva and Menelaus, as well as numerous applications of those theorems. The final chapter explores constructions in the Poincare disk model for hyperbolic geometry. The book can be used either as a computer laboratory manual to supplement an undergraduate course in geometry or as a stand-alone introduction to advanced topics in Euclidean geometry. The text consists almost entirely of exercises (with hints) that guide students as they discover the geometric relationships for themselves. First the ideas are explored at the computer and then those ideas are assembled into a proof of the result under investigation. The goals are for the reader to experience the joy of discovering geometric relationships, to develop a deeper understanding of geometry, and to encourage an appreciation for the beauty of Euclidean geometry.
Author : Evan Chen
Publisher : American Mathematical Soc.
ISBN 13 : 1470466201
Total Pages : 311 pages
Book Rating : 4.4/5 (74 download)
Download or read book Euclidean Geometry in Mathematical Olympiads written by Evan Chen and published by American Mathematical Soc.. This book was released on 2021-08-23 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a challenging problem-solving book in Euclidean geometry, assuming nothing of the reader other than a good deal of courage. Topics covered included cyclic quadrilaterals, power of a point, homothety, triangle centers; along the way the reader will meet such classical gems as the nine-point circle, the Simson line, the symmedian and the mixtilinear incircle, as well as the theorems of Euler, Ceva, Menelaus, and Pascal. Another part is dedicated to the use of complex numbers and barycentric coordinates, granting the reader both a traditional and computational viewpoint of the material. The final part consists of some more advanced topics, such as inversion in the plane, the cross ratio and projective transformations, and the theory of the complete quadrilateral. The exposition is friendly and relaxed, and accompanied by over 300 beautifully drawn figures. The emphasis of this book is placed squarely on the problems. Each chapter contains carefully chosen worked examples, which explain not only the solutions to the problems but also describe in close detail how one would invent the solution to begin with. The text contains a selection of 300 practice problems of varying difficulty from contests around the world, with extensive hints and selected solutions. This book is especially suitable for students preparing for national or international mathematical olympiads or for teachers looking for a text for an honor class.
