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Primary Geometry
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Book Synopsis Elementary Geometry by : Ilka Agricola
Download or read book Elementary Geometry written by Ilka Agricola and published by American Mathematical Soc.. This book was released on 2008 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: Plane 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.
Book Synopsis Elementary Algebraic Geometry by : Klaus Hulek
Download or read book Elementary Algebraic Geometry written by Klaus Hulek and published by American Mathematical Soc.. This book was released on 2003 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a true introduction to the basic concepts and techniques of algebraic geometry. The language is purposefully kept on an elementary level, avoiding sheaf theory and cohomology theory. The introduction of new algebraic concepts is always motivated by a discussion of the corresponding geometric ideas. The main point of the book is to illustrate the interplay between abstract theory and specific examples. The book contains numerous problems that illustrate the general theory. The text is suitable for advanced undergraduates and beginning graduate students. It contains sufficient material for a one-semester course. The reader should be familiar with the basic concepts of modern algebra. A course in one complex variable would be helpful, but is not necessary.
Book Synopsis Elementary College Geometry by : Henry Africk
Download or read book Elementary College Geometry written by Henry Africk and published by . This book was released on 2004 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction to Algebraic Geometry by : Steven Dale Cutkosky
Download or read book Introduction to Algebraic Geometry written by Steven Dale Cutkosky and published by American Mathematical Soc.. This book was released on 2018-06-01 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a readable and accessible introductory course in algebraic geometry, with most of the fundamental classical results presented with complete proofs. An emphasis is placed on developing connections between geometric and algebraic aspects of the theory. Differences between the theory in characteristic and positive characteristic are emphasized. The basic tools of classical and modern algebraic geometry are introduced, including varieties, schemes, singularities, sheaves, sheaf cohomology, and intersection theory. Basic classical results on curves and surfaces are proved. More advanced topics such as ramification theory, Zariski's main theorem, and Bertini's theorems for general linear systems are presented, with proofs, in the final chapters. With more than 200 exercises, the book is an excellent resource for teaching and learning introductory algebraic geometry.
Book Synopsis Measurement and Geometry in Upper Primary School by : Gravemeijer Koeno
Download or read book Measurement and Geometry in Upper Primary School written by Gravemeijer Koeno and published by Springer. This book was released on 2016-11-25 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is the fourth – and final – publication in the TAL project series. This TAL project was initiated by the Dutch Ministry of Education, Culture and Science, with the aim to improve the quality of mathematics education by providing a perspective on didactic goals and learning-teaching trajectories, and on the relationship between them. The focus of this book is on measurement and geometry in the upper grades of primary education. Measurement and geometry are important topics which perhaps do not get the emphasis they deserve. They build, in a manner of speaking, a bridge between everyday reality and mathematics. Measurement concerns the quantification of phenomena; consequently, it makes these phenomena accessible for mathematics. Geometry establishes the basis for understanding the spatial aspects of reality. See for extra information related to this book:www.fi.uu.nl/publicaties/subsets/measurementgeometry/"
Book Synopsis Geometry in Problems by : Alexander Shen
Download or read book Geometry in Problems written by Alexander Shen and published by American Mathematical Soc.. This book was released on 2016 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classical Euclidean geometry, with all its triangles, circles, and inscribed angles, remains an excellent playground for high-school mathematics students, even if it looks outdated from the professional mathematician's viewpoint. It provides an excellent choice of elegant and natural problems that can be used in a course based on problem solving. The book contains more than 750 (mostly) easy but nontrivial problems in all areas of plane geometry and solutions for most of them, as well as additional problems for self-study (some with hints). Each chapter also provides concise reminders of basic notions used in the chapter, so the book is almost self-contained (although a good textbook and competent teacher are always recommended). More than 450 figures illustrate the problems and their solutions. The book can be used by motivated high-school students, as well as their teachers and parents. After solving the problems in the book the student will have mastered the main notions and methods of plane geometry and, hopefully, will have had fun in the process. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession. What a joy! Shen's ``Geometry in Problems'' is a gift to the school teaching world. Beautifully organized by content topic, Shen has collated a vast collection of fresh, innovative, and highly classroom-relevant questions, problems, and challenges sure to enliven the minds and clever thinking of all those studying Euclidean geometry for the first time. This book is a spectacular resource for educators and students alike. Users will not only sharpen their mathematical understanding of specific topics but will also sharpen their problem-solving wits and come to truly own the mathematics explored. Also, Math Circle leaders can draw much inspiration for session ideas from the material presented in this book. --James Tanton, Mathematician-at-Large, Mathematical Association of America We learn mathematics best by doing mathematics. The author of this book recognizes this principle. He invites the reader to participate in learning plane geometry through carefully chosen problems, with brief explanations leading to much activity. The problems in the book are sometimes deep and subtle: almost everyone can do some of them, and almost no one can do all. The reader comes away with a view of geometry refreshed by experience. --Mark Saul, Director of Competitions, Mathematical Association of America
Author :Nathalie Sinclair Publisher :National Council of Teachers of English ISBN 13 :9780873536912 Total Pages :96 pages Book Rating :4.5/5 (369 download)
Book Synopsis Developing Essential Understanding of Geometry for Teaching Mathematics in Grades 6-8 by : Nathalie Sinclair
Download or read book Developing Essential Understanding of Geometry for Teaching Mathematics in Grades 6-8 written by Nathalie Sinclair and published by National Council of Teachers of English. This book was released on 2012-01 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why are there so many formulas for area and volume, and why do some of them look alike? Why does one quadrilateral have no special name while another has several, like square, rectangle, rhombus, and parallelogram—and why are all these names useful? How much do you know … and how much do you need to know? Helping your students develop a robust understanding of geometry requires that you understand this mathematics deeply. But what does that mean? This book focuses on essential knowledge for teachers about geometry. It is organized around four big ideas, supported by multiple smaller, interconnected ideas—essential understandings. Taking you beyond a simple introduction to geometry, the book will broaden and deepen your mathematical understanding of one of the most challenging topics for students—and teachers. It will help you engage your students, anticipate their perplexities, avoid pitfalls, and dispel misconceptions. You will also learn to develop appropriate tasks, techniques, and tools for assessing students’ understanding of the topic.
Book Synopsis Elementary Geometry for Teachers by : Thomas H. Parker
Download or read book Elementary Geometry for Teachers written by Thomas H. Parker and published by Ingram. This book was released on 2008 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Textbook on measurement and geometry for elementary school mathematics teachers, including a chapter on data, probability, and statistics. Designed to be used in conjunction with Primary mathematics textbooks 4A, 5A, 3B, 5B, 6B (all U.S. ed.) and New elementary mathematics textbook 1.
Book Synopsis A History of the Teaching of Elementary Geometry by : Alva Walker Stamper
Download or read book A History of the Teaching of Elementary Geometry written by Alva Walker Stamper and published by . This book was released on 1909 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Fundamental Algebraic Geometry by : Barbara Fantechi
Download or read book Fundamental Algebraic Geometry written by Barbara Fantechi and published by American Mathematical Soc.. This book was released on 2005 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents an outline of Alexander Grothendieck's theories. This book discusses four main themes - descent theory, Hilbert and Quot schemes, the formal existence theorem, and the Picard scheme. It is suitable for those working in algebraic geometry.
Book Synopsis Lectures on Poisson Geometry by : Marius Crainic
Download or read book Lectures on Poisson Geometry written by Marius Crainic and published by American Mathematical Soc.. This book was released on 2021-10-14 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: This excellent book will be very useful for students and researchers wishing to learn the basics of Poisson geometry, as well as for those who know something about the subject but wish to update and deepen their knowledge. The authors' philosophy that Poisson geometry is an amalgam of foliation theory, symplectic geometry, and Lie theory enables them to organize the book in a very coherent way. —Alan Weinstein, University of California at Berkeley This well-written book is an excellent starting point for students and researchers who want to learn about the basics of Poisson geometry. The topics covered are fundamental to the theory and avoid any drift into specialized questions; they are illustrated through a large collection of instructive and interesting exercises. The book is ideal as a graduate textbook on the subject, but also for self-study. —Eckhard Meinrenken, University of Toronto
Book Synopsis Number Theory and Geometry: An Introduction to Arithmetic Geometry by : Álvaro Lozano-Robledo
Download or read book Number Theory and Geometry: An Introduction to Arithmetic Geometry written by Álvaro Lozano-Robledo and published by American Mathematical Soc.. This book was released on 2019-03-21 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometry and the theory of numbers are as old as some of the oldest historical records of humanity. Ever since antiquity, mathematicians have discovered many beautiful interactions between the two subjects and recorded them in such classical texts as Euclid's Elements and Diophantus's Arithmetica. Nowadays, the field of mathematics that studies the interactions between number theory and algebraic geometry is known as arithmetic geometry. This book is an introduction to number theory and arithmetic geometry, and the goal of the text is to use geometry as the motivation to prove the main theorems in the book. For example, the fundamental theorem of arithmetic is a consequence of the tools we develop in order to find all the integral points on a line in the plane. Similarly, Gauss's law of quadratic reciprocity and the theory of continued fractions naturally arise when we attempt to determine the integral points on a curve in the plane given by a quadratic polynomial equation. After an introduction to the theory of diophantine equations, the rest of the book is structured in three acts that correspond to the study of the integral and rational solutions of linear, quadratic, and cubic curves, respectively. This book describes many applications including modern applications in cryptography; it also presents some recent results in arithmetic geometry. With many exercises, this book can be used as a text for a first course in number theory or for a subsequent course on arithmetic (or diophantine) geometry at the junior-senior level.
Book Synopsis The Four Pillars of Geometry by : John Stillwell
Download or read book The Four Pillars of Geometry written by John Stillwell and published by Springer Science & Business Media. This book was released on 2005-08-09 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is unique in that it looks at geometry from 4 different viewpoints - Euclid-style axioms, linear algebra, projective geometry, and groups and their invariants Approach makes the subject accessible to readers of all mathematical tastes, from the visual to the algebraic Abundantly supplemented with figures and exercises
Book Synopsis Elementary Geometry, Plane and Solid by : Thomas Franklin Holgate
Download or read book Elementary Geometry, Plane and Solid written by Thomas Franklin Holgate and published by . This book was released on 1901 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Course in Metric Geometry by : Dmitri Burago
Download or read book A Course in Metric Geometry written by Dmitri Burago and published by American Mathematical Society. This book was released on 2022-01-27 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Metric geometry” is an approach to geometry based on the notion of length on a topological space. This approach experienced a very fast development in the last few decades and penetrated into many other mathematical disciplines, such as group theory, dynamical systems, and partial differential equations. The objective of this graduate textbook is twofold: to give a detailed exposition of basic notions and techniques used in the theory of length spaces, and, more generally, to offer an elementary introduction into a broad variety of geometrical topics related to the notion of distance, including Riemannian and Carnot-Carathéodory metrics, the hyperbolic plane, distance-volume inequalities, asymptotic geometry (large scale, coarse), Gromov hyperbolic spaces, convergence of metric spaces, and Alexandrov spaces (non-positively and non-negatively curved spaces). The authors tend to work with “easy-to-touch” mathematical objects using “easy-to-visualize” methods. The authors set a challenging goal of making the core parts of the book accessible to first-year graduate students. Most new concepts and methods are introduced and illustrated using simplest cases and avoiding technicalities. The book contains many exercises, which form a vital part of the exposition.
Book Synopsis Geometry: Euclid and Beyond by : Robin Hartshorne
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.
Book Synopsis Challenging Problems in Geometry by : Alfred S. Posamentier
Download or read book Challenging Problems in Geometry written by Alfred S. Posamentier and published by Courier Corporation. This book was released on 2012-04-30 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collection of nearly 200 unusual problems dealing with congruence and parallelism, the Pythagorean theorem, circles, area relationships, Ptolemy and the cyclic quadrilateral, collinearity and concurrency and more. Arranged in order of difficulty. Detailed solutions.
