Fundamental Concepts of Geometry

Author: Bruce E. Meserve

Publisher: Courier Corporation

ISBN: 048615226X

Category: Mathematics

Page: 336

View: 2606

Demonstrates relationships between different types of geometry. Provides excellent overview of the foundations and historical evolution of geometrical concepts. Exercises (no solutions). Includes 98 illustrations.

Basic Geometry for College Students: An Overview of the Fundamental Concepts of Geometry

Author: Alan S. Tussy,R. David Gustafson

Publisher: Cengage Learning

ISBN: 1111786585

Category: Mathematics

Page: 176

View: 4018

Intended to address the need for a concise overview of fundamental geometry topics. Sections 1-7 introduce such topics as angles, polygons, perimeter, area, and circles. In the second part of the text, Sections 8-11 cover congruent and similar triangles, special triangles, volume, and surface area. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Basic Geometry for College Students

An Overview of the Fundamental Concepts of Geometry

Author: Alan S. Tussy,R. David Gustafson

Publisher: Brooks/Cole Publishing Company

ISBN: 9780534391805

Category: Mathematics

Page: 160

View: 7547

Intended to address the need for a concise overview of fundamental geometry topics. Sections 1-7 introduce such topics as angles, polygons, perimeter, area, and circles. In the second part of the text, Sections 8-11 cover congruent and similar triangles, special triangles, volume, and surface area.

Lectures on Fundamental Concepts of Algebra and Geometry

Author: John Wesley Young,William Wells Denton,Ulysses Grant Mitchell

Publisher: Palala Press

ISBN: 9781379054832

Category: History

Page: 262

View: 5123

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.


Fundamental Concepts and Applications

Author: Alan Bass

Publisher: Pearson College Division

ISBN: 9780321473318

Category: Mathematics

Page: 166

View: 9890

This Geometry workbook makes the fundamental concepts of geometry accessible and interesting for college students and incorporates a variety of basic algebra skills in order to show the connection between Geometry and Algebra. Topics include: A Brief History of Geometry 1. Basic Geometry Concepts 2. More about Angles 3. Triangles 4. More about Triangles: Similarity and Congruence 5. Quadrilaterals 6. Polygons 7. Area and Perimeter 8. Circles 9. Volume and Surface Area 10. Basic Trigonometry

Foundations and Fundamental Concepts of Mathematics

Author: Howard Eves

Publisher: Courier Corporation

ISBN: 048613220X

Category: Mathematics

Page: 368

View: 3901

Third edition of popular undergraduate-level text offers historic overview, readable treatment of mathematics before Euclid, Euclid's Elements, non-Euclidean geometry, algebraic structure, formal axiomatics, sets, more. Problems, some with solutions. Bibliography.

Basic Concepts of Geometry

Author: Walter Prenowitz,Meyer Jordan

Publisher: Rowman & Littlefield

ISBN: 9780912675480

Category: Mathematics

Page: 370

View: 9620

No descriptive material is available for this title.

An Introduction to Analytic Geometry and Calculus

Author: A. C. Burdette

Publisher: Academic Press

ISBN: 1483265226

Category: Mathematics

Page: 448

View: 6227

An Introduction to Analytic Geometry and Calculus covers the basic concepts of analytic geometry and the elementary operations of calculus. This book is composed of 14 chapters and begins with an overview of the fundamental relations of the coordinate system. The next chapters deal with the fundamentals of straight line, nonlinear equations and graphs, functions and limits, and derivatives. These topics are followed by a discussion of some applications of previously covered mathematical subjects. This text also considers the fundamentals of the integrals, trigonometric functions, exponential and logarithm functions, and methods of integration. The final chapters look into the concepts of parametric equations, polar coordinates, and infinite series. This book will prove useful to mathematicians and undergraduate and graduate mathematics students.

Geometric Fundamentals of Robotics

Author: J.M. Selig

Publisher: Springer Science & Business Media

ISBN: 9780387208749

Category: Technology & Engineering

Page: 398

View: 7986

* Provides an elegant introduction to the geometric concepts that are important to applications in robotics * Includes significant state-of-the art material that reflects important advances, connecting robotics back to mathematical fundamentals in group theory and geometry * An invaluable reference that serves a wide audience of grad students and researchers in mechanical engineering, computer science, and applied mathematics

Geometrie für Dummies

Author: Wendy Arnone

Publisher: John Wiley & Sons

ISBN: 3527657142

Category: Mathematics

Page: 347

View: 6651

Dreiecke, Rechtecke, Quader; alles schon einmal geh?rt. Aber wie rechnet man noch einmal ihre Fl?cheninhalte aus? Wie kommt man noch einmal auf die Winkelhalbierenden und wo schneiden sie sich? Es ist ganz einfach. Versprochen. Man muss nur wissen, wann welche Rechnung wo die richtige ist. ?Geometrie f?r Dummies? erkl?rt den Lesern, wie sie zu den richtigen Ergebnissen kommen, wie sie die Geometrie beherrschen und nicht die Geometrie sie. Das Buch nimmt dieser Disziplin der Mathematik auf nette Art den Schrecken.

Riemannian Geometry and Geometric Analysis

Author: Jürgen Jost

Publisher: Springer

ISBN: 3319618601

Category: Mathematics

Page: 697

View: 4604

This established reference work continues to provide its readers with a gateway to some of the most interesting developments in contemporary geometry. It offers insight into a wide range of topics, including fundamental concepts of Riemannian geometry, such as geodesics, connections and curvature; the basic models and tools of geometric analysis, such as harmonic functions, forms, mappings, eigenvalues, the Dirac operator and the heat flow method; as well as the most important variational principles of theoretical physics, such as Yang-Mills, Ginzburg-Landau or the nonlinear sigma model of quantum field theory. The present volume connects all these topics in a systematic geometric framework. At the same time, it equips the reader with the working tools of the field and enables her or him to delve into geometric research. The 7th edition has been systematically reorganized and updated. Almost no page has been left unchanged. It also includes new material, for instance on symplectic geometry, as well as the Bishop-Gromov volume growth theorem which elucidates the geometric role of Ricci curvature. From the reviews:“This book provides a very readable introduction to Riemannian geometry and geometric analysis... With the vast development of the mathematical subject of geometric analysis, the present textbook is most welcome.” Mathematical Reviews “For readers familiar with the basics of differential geometry and some acquaintance with modern analysis, the book is reasonably self-contained. The book succeeds very well in laying out the foundations of modern Riemannian geometry and geometric analysis. It introduces a number of key techniques and provides a representative overview of the field.” Monatshefte für Mathematik

Riemannian Geometry

Author: Takashi Sakai

Publisher: American Mathematical Soc.

ISBN: 9780821889565

Category: Mathematics

Page: 358

View: 4736

This volume is an English translation of Sakai's textbook on Riemannian Geometry which was originally written in Japanese and published in 1992. The author's intent behind the original book was to provide to advanced undergraduate and graudate students an introduction to modern Riemannian geometry that could also serve as a reference. The book begins with an explanation of the fundamental notion of Riemannian geometry. Special emphasis is placed on understandability and readability, to guide students who are new to this area. The remaining chapters deal with various topics in Riemannian geometry, with the main focus on comparison methods and their applications.

Basic Geometry

Author: George David Birkhoff,Ralph Beatley

Publisher: The Rosen Publishing Group

ISBN: 9780821821015

Category: Mathematics

Page: 294

View: 2675

Offers a sound mathematical development ... and at the same time enables the student to move rapidly into the heart of geometry. --The Mathematics Teacher Should be required reading for every teacher of geometry. --The Mathematical Gazette In this highly recommended high school text by two eminent scholars, the authors deduce plane Euclidean geometry by utilizing only five fundamental postulates. Incorporation of the system of real numbers in three of the five postulates of this geometry gives these assumptions great breadth and power. They lead the reader at once to the heart of geometry. It is because of the underlying power, simplicity, and compactness of this geometry that the authors called the book Basic Geometry. The book is designed for a one-year course in plane geometry. For advanced students, the authors incorporated certain material from three-dimensional and so-called modern geometry. A rich variety of exercises as well as many illustrations applying the abstract geometrical concepts to real life provide an excellent source of teaching material.

Fundamental Concepts of Algebra

Author: Bruce Elwyn Meserve

Publisher: Courier Corporation

ISBN: 9780486614700

Category: Mathematics

Page: 294

View: 4782

Uncommonly interesting introduction illuminates complexities of higher mathematics while offering a thorough understanding of elementary mathematics. Covers development of complex number system and elementary theories of numbers, polynomials and operations, determinants, matrices, constructions and graphical representations. Several exercises — without solutions.

Egghead's Guide to Geometry

Author: Peterson's

Publisher: Peterson's

ISBN: 076893740X

Category: Mathematics

Page: 432

View: 682

egghead's Guide to Geometry will help students improve their understanding of the fundamental concepts of geometry. With the help of Peterson's new character, egghead, students can strengthen their math skills with narrative cartoons and graphics. Along the way there are plenty of study tips and exercises, making this the perfect guide for students struggling to improve their knowledge of geometry for standardized tests. egghead's strategies and advice for improving geometry skills Foundational geometry for students who need basic and remedial instruction Dozens of sample exercises and solutions with loads of geometric figures and illustrations Easy-to-read lessons with fun graphics that provide essential information and skills to help those students who learn visually

From a Geometrical Point of View

A Study of the History and Philosophy of Category Theory

Author: Jean-Pierre Marquis

Publisher: Springer Science & Business Media

ISBN: 1402093845

Category: Science

Page: 310

View: 704

From a Geometrical Point of View explores historical and philosophical aspects of category theory, trying therewith to expose its significance in the mathematical landscape. The main thesis is that Klein’s Erlangen program in geometry is in fact a particular instance of a general and broad phenomenon revealed by category theory. The volume starts with Eilenberg and Mac Lane’s work in the early 1940’s and follows the major developments of the theory from this perspective. Particular attention is paid to the philosophical elements involved in this development. The book ends with a presentation of categorical logic, some of its results and its significance in the foundations of mathematics. From a Geometrical Point of View aims to provide its readers with a conceptual perspective on category theory and categorical logic, in order to gain insight into their role and nature in contemporary mathematics. It should be of interest to mathematicians, logicians, philosophers of mathematics and science in general, historians of contemporary mathematics, physicists and computer scientists.

Handbook of Finsler geometry. 2 (2003)

Author: Peter L. Antonelli

Publisher: Springer Science & Business Media

ISBN: 9781402015564

Category: Mathematics

Page: 1437

View: 3822

There are several mathematical approaches to Finsler Geometry, all of which are contained and expounded in this comprehensive Handbook. The principal bundles pathway to state-of-the-art Finsler Theory is here provided by M. Matsumoto. His is a cornerstone for this set of essays, as are the articles of R. Miron (Lagrange Geometry) and J. Szilasi (Spray and Finsler Geometry). After studying either one of these, the reader will be able to understand the included survey articles on complex manifolds, holonomy, sprays and KCC-theory, symplectic structures, Legendre duality, Hodge theory and Gauss-Bonnet formulas. Finslerian diffusion theory is presented by its founders, P. Antonelli and T. Zastawniak. To help with calculations and conceptualizations, a CD-ROM containing the software package FINSLER, based on MAPLE, is included with the book.