Euclidean And Non Euclidean Geometry International Student Edition

✏Book Title : Euclidean and Non Euclidean Geometry International Student Edition
✏Author : Patrick J. Ryan
✏Publisher : Cambridge University Press
✏Release Date : 2009-09-04
✏Pages : 232
✏ISBN : 9780521127073
✏Available Language : English, Spanish, And French

✏Euclidean and Non Euclidean Geometry International Student Edition Book Summary : This book gives a rigorous treatment of the fundamentals of plane geometry: Euclidean, spherical, elliptical and hyperbolic.

✏Book Title : Introductory Non Euclidean Geometry
✏Author : Henry Parker Manning
✏Publisher : Courier Corporation
✏Release Date : 2013-01-30
✏Pages : 112
✏ISBN : 9780486154640
✏Available Language : English, Spanish, And French

✏Introductory Non Euclidean Geometry Book Summary : This fine and versatile introduction begins with the theorems common to Euclidean and non-Euclidean geometry, and then it addresses the specific differences that constitute elliptic and hyperbolic geometry. 1901 edition.

✏Book Title : Euclidean Geometry in Mathematical Olympiads
✏Author : Evan Chen
✏Publisher : The Mathematical Association of America
✏Release Date : 2016-05-02
✏Pages : 311
✏ISBN : 9780883858394
✏Available Language : English, Spanish, And French

✏Euclidean Geometry in Mathematical Olympiads Book Summary : 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 as 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.

✏Book Title : The Foundations of Geometry and the Non Euclidean Plane
✏Author : G.E. Martin
✏Publisher : Springer Science & Business Media
✏Release Date : 2012-12-06
✏Pages : 512
✏ISBN : 9781461257257
✏Available Language : English, Spanish, And French

✏The Foundations of Geometry and the Non Euclidean Plane Book Summary : This book is a text for junior, senior, or first-year graduate courses traditionally titled Foundations of Geometry and/or Non Euclidean Geometry. The first 29 chapters are for a semester or year course on the foundations of geometry. The remaining chap ters may then be used for either a regular course or independent study courses. Another possibility, which is also especially suited for in-service teachers of high school geometry, is to survey the the fundamentals of absolute geometry (Chapters 1 -20) very quickly and begin earnest study with the theory of parallels and isometries (Chapters 21 -30). The text is self-contained, except that the elementary calculus is assumed for some parts of the material on advanced hyperbolic geometry (Chapters 31 -34). There are over 650 exercises, 30 of which are 10-part true-or-false questions. A rigorous ruler-and-protractor axiomatic development of the Euclidean and hyperbolic planes, including the classification of the isometries of these planes, is balanced by the discussion about this development. Models, such as Taxicab Geometry, are used exten sively to illustrate theory. Historical aspects and alternatives to the selected axioms are prominent. The classical axiom systems of Euclid and Hilbert are discussed, as are axiom systems for three and four-dimensional absolute geometry and Pieri's system based on rigid motions. The text is divided into three parts. The Introduction (Chapters 1 -4) is to be read as quickly as possible and then used for ref erence if necessary.

✏Book Title : The Power of International Theory
✏Author : Fred Chernoff
✏Publisher : Routledge
✏Release Date : 2012-12-06
✏Pages : 264
✏ISBN : 9781135992408
✏Available Language : English, Spanish, And French

✏The Power of International Theory Book Summary : This new study challenges how we think about international relations, presenting an analysis of current trends and insights into new directions. It shows how the discipline of international relations was created with a purpose of helping policy-makers to build a more peaceful and just world. However, many of the current trends, post-positivism, constructivism, reflectivism, and post-modernism share a conception of international theory that is inherently incapable of offering significant guidance to policy-makers. The Power of International Theory critically examines these approaches and offers a novel conventional-causal alternative that allows the reforging of a link between IR theory and policy-making. While recognizing the criticisms of earlier forms of positivism and behaviouralism, the book defends holistic testing of empirical principles, methodological pluralism, criteria for choosing the best theory, a notion of 'causality,' and a limited form of prediction, all of which are needed to guide policy-makers. This is an essential book for all students and scholars of international relations.

✏Book Title : Euclidean Geometry and Transformations
✏Author : Clayton W. Dodge
✏Publisher : Courier Corporation
✏Release Date : 2004
✏Pages : 295
✏ISBN : 0486434761
✏Available Language : English, Spanish, And French

✏Euclidean Geometry and Transformations Book Summary : This introduction to Euclidean geometry emphasizes transformations, particularly isometries and similarities. Suitable for undergraduate courses, it includes numerous examples, many with detailed answers. 1972 edition.

✏Book Title : Problem Solving and Selected Topics in Euclidean Geometry
✏Author : Sotirios E. Louridas
✏Publisher : Springer Science & Business Media
✏Release Date : 2014-07-08
✏Pages : 235
✏ISBN : 9781461472735
✏Available Language : English, Spanish, And French

✏Problem Solving and Selected Topics in Euclidean Geometry Book Summary : "Problem-Solving and Selected Topics in Euclidean Geometry: in the Spirit of the Mathematical Olympiads" contains theorems which are of particular value for the solution of geometrical problems. Emphasis is given in the discussion of a variety of methods, which play a significant role for the solution of problems in Euclidean Geometry. Before the complete solution of every problem, a key idea is presented so that the reader will be able to provide the solution. Applications of the basic geometrical methods which include analysis, synthesis, construction and proof are given. Selected problems which have been given in mathematical olympiads or proposed in short lists in IMO's are discussed. In addition, a number of problems proposed by leading mathematicians in the subject are included here. The book also contains new problems with their solutions. The scope of the publication of the present book is to teach mathematical thinking through Geometry and to provide inspiration for both students and teachers to formulate "positive" conjectures and provide solutions.

✏Book Title : Mathematical Methods For Physicists International Student Edition
✏Author : George B. Arfken
✏Publisher : Elsevier
✏Release Date : 2005-07-05
✏Pages : 1200
✏ISBN : 9780080470696
✏Available Language : English, Spanish, And French

✏Mathematical Methods For Physicists International Student Edition Book Summary : This best-selling title provides in one handy volume the essential mathematical tools and techniques used to solve problems in physics. It is a vital addition to the bookshelf of any serious student of physics or research professional in the field. The authors have put considerable effort into revamping this new edition. Updates the leading graduate-level text in mathematical physics Provides comprehensive coverage of the mathematics necessary for advanced study in physics and engineering Focuses on problem-solving skills and offers a vast array of exercises Clearly illustrates and proves mathematical relations New in the Sixth Edition: Updated content throughout, based on users' feedback More advanced sections, including differential forms and the elegant forms of Maxwell's equations A new chapter on probability and statistics More elementary sections have been deleted

✏Book Title : Proceedings of the First International Conference on Intelligent Human Computer Interaction
✏Author : U. S. Tiwary
✏Publisher : Springer Science & Business Media
✏Release Date : 2009
✏Pages : 400
✏ISBN : 9788184894042
✏Available Language : English, Spanish, And French

✏Proceedings of the First International Conference on Intelligent Human Computer Interaction Book Summary :

📒Geometry Through History ✍ Meighan I. Dillon

✏Book Title : Geometry Through History
✏Author : Meighan I. Dillon
✏Publisher : Springer
✏Release Date : 2018-03-21
✏Pages : 350
✏ISBN : 9783319741352
✏Available Language : English, Spanish, And French

✏Geometry Through History Book Summary : Presented as an engaging discourse, this textbook invites readers to delve into the historical origins and uses of geometry. The narrative traces the influence of Euclid’s system of geometry, as developed in his classic text The Elements, through the Arabic period, the modern era in the West, and up to twentieth century mathematics. Axioms and proof methods used by mathematicians from those periods are explored alongside the problems in Euclidean geometry that lead to their work. Students cultivate skills applicable to much of modern mathematics through sections that integrate concepts like projective and hyperbolic geometry with representative proof-based exercises. For its sophisticated account of ancient to modern geometries, this text assumes only a year of college mathematics as it builds towards its conclusion with algebraic curves and quaternions. Euclid’s work has affected geometry for thousands of years, so this text has something to offer to anyone who wants to broaden their appreciation for the field.