Basic Geometry
Author: Jurgensen
Publisher: Houghton Mifflin
Published: 1989-05
Total Pages: 0
ISBN-13: 9780395501207
DOWNLOAD EBOOKRead and Download eBook Full
Author: Jurgensen
Publisher: Houghton Mifflin
Published: 1989-05
Total Pages: 0
ISBN-13: 9780395501207
DOWNLOAD EBOOKAuthor: George David Birkhoff
Publisher: American Mathematical Soc.
Published: 2000
Total Pages: 164
ISBN-13: 0821826921
DOWNLOAD EBOOKLesson plan outline: 9 lessons Lesson plan outline: 15 lessons Lesson plan outline: 19 lessons Lesson plan outline: 12 lessons Lesson plan outline: 27 lessons Lesson plan outline: 19 lessons Lesson plan outline: 17 lessons Lesson plan outline: 6 lessons Lesson plan outline: 14 lessons Lesson plan outline: 7 lessons
Author: Israel M. Gelfand
Publisher: Springer Nature
Published: 2020-02-22
Total Pages: 420
ISBN-13: 1071602993
DOWNLOAD EBOOKThis text is the fifth and final in the series of educational books written by Israel Gelfand with his colleagues for high school students. These books cover the basics of mathematics in a clear and simple format – the style Gelfand was known for internationally. Gelfand prepared these materials so as to be suitable for independent studies, thus allowing students to learn and practice the material at their own pace without a class. Geometry takes a different approach to presenting basic geometry for high-school students and others new to the subject. Rather than following the traditional axiomatic method that emphasizes formulae and logical deduction, it focuses on geometric constructions. Illustrations and problems are abundant throughout, and readers are encouraged to draw figures and “move” them in the plane, allowing them to develop and enhance their geometrical vision, imagination, and creativity. Chapters are structured so that only certain operations and the instruments to perform these operations are available for drawing objects and figures on the plane. This structure corresponds to presenting, sequentially, projective, affine, symplectic, and Euclidean geometries, all the while ensuring students have the necessary tools to follow along. Geometry is suitable for a large audience, which includes not only high school geometry students, but also teachers and anyone else interested in improving their geometrical vision and intuition, skills useful in many professions. Similarly, experienced mathematicians can appreciate the book’s unique way of presenting plane geometry in a simple form while adhering to its depth and rigor. “Gelfand was a great mathematician and also a great teacher. The book provides an atypical view of geometry. Gelfand gets to the intuitive core of geometry, to the phenomena of shapes and how they move in the plane, leading us to a better understanding of what coordinate geometry and axiomatic geometry seek to describe.” - Mark Saul, PhD, Executive Director, Julia Robinson Mathematics Festival “The subject matter is presented as intuitive, interesting and fun. No previous knowledge of the subject is required. Starting from the simplest concepts and by inculcating in the reader the use of visualization skills, [and] after reading the explanations and working through the examples, you will be able to confidently tackle the interesting problems posed. I highly recommend the book to any person interested in this fascinating branch of mathematics.” - Ricardo Gorrin, a student of the Extended Gelfand Correspondence Program in Mathematics (EGCPM)
Author: Donald G. Saari
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 308
ISBN-13: 3642577482
DOWNLOAD EBOOKAmazingly, the complexities of voting theory can be explained and resolved with comfortable geometry. A geometry which unifies such seemingly disparate topics as manipulation, monotonicity, and even the apportionment issues of the US Supreme Court. Although directed mainly toward students and others wishing to learn about voting, experts will discover here many previously unpublished results. As an example, a new profile decomposition quickly resolves the age-old controversies of Condorcet and Borda, demonstrates that the rankings of pairwise and other methods differ because they rely on different information, casts serious doubt on the reliability of a Condorcet winner as a standard for the field, makes the famous Arrow's Theorem predictable, and simplifies the construction of examples.
Author:
Publisher: Floris Books - Floris Books
Published: 2007
Total Pages: 86
ISBN-13: 9780863156083
DOWNLOAD EBOOKGeometry is both elegantly simple and infinitely profound. Many professionals find they need to be able to draw geometric shapes accurately, and this unique book shows them how. It provides step-by-step instructions for constructing two-dimensional geometric shapes, which can be readily followed by a beginner, or used as an invaluable source book by students and professionals.
Author: Harold Scott Macdonald Coxeter
Publisher:
Published: 1989
Total Pages: 469
ISBN-13:
DOWNLOAD EBOOKAuthor: Walter Prenowitz
Publisher: Rowman & Littlefield
Published: 2012-10-04
Total Pages: 380
ISBN-13: 9780912675480
DOWNLOAD EBOOKNo descriptive material is available for this title.
Author: Igor Rostislavovich Shafarevich
Publisher: Springer Science & Business Media
Published: 1994
Total Pages: 292
ISBN-13: 9783540575542
DOWNLOAD EBOOKThe second volume of Shafarevich's introductory book on algebraic geometry focuses on schemes, complex algebraic varieties and complex manifolds. As with Volume 1 the author has revised the text and added new material, e.g. a section on real algebraic curves. Although the material is more advanced than in Volume 1 the algebraic apparatus is kept to a minimum making the book accessible to non-specialists. It can be read independently of Volume 1 and is suitable for beginning graduate students in mathematics as well as in theoretical physics.
Author: Ilka Agricola
Publisher: American Mathematical Soc.
Published: 2008
Total Pages: 257
ISBN-13: 0821843478
DOWNLOAD EBOOKPlane geometry is developed from its basic objects and their properties and then moves to conics and basic solids, including the Platonic solids and a proof of Euler's polytope formula. Particular care is taken to explain symmetry groups, including the description of ornaments and the classification of isometries.
Author: R. Lavendhomme
Publisher: Springer Science & Business Media
Published: 2013-03-09
Total Pages: 331
ISBN-13: 1475745885
DOWNLOAD EBOOKStarting at an introductory level, the book leads rapidly to important and often new results in synthetic differential geometry. From rudimentary analysis the book moves to such important results as: a new proof of De Rham's theorem; the synthetic view of global action, going as far as the Weil characteristic homomorphism; the systematic account of structured Lie objects, such as Riemannian, symplectic, or Poisson Lie objects; the view of global Lie algebras as Lie algebras of a Lie group in the synthetic sense; and lastly the synthetic construction of symplectic structure on the cotangent bundle in general. Thus while the book is limited to a naive point of view developing synthetic differential geometry as a theory in itself, the author nevertheless treats somewhat advanced topics, which are classic in classical differential geometry but new in the synthetic context. Audience: The book is suitable as an introduction to synthetic differential geometry for students as well as more qualified mathematicians.