Fundamental Concepts of Geometry

Author: Bruce E. Meserve

Publisher: Courier Corporation

ISBN: 048615226X

Category: Mathematics

Page: 336

View: 781

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: Brooks/Cole Publishing Company

ISBN: 9780534391805

Category: Mathematics

Page: 160

View: 4459

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.

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

Author: Alan S. Tussy,R. David Gustafson

Publisher: Cengage Learning

ISBN: 049582948X

Category: Mathematics

Page: 176

View: 693

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.


Fundamental Concepts and Applications

Author: Alan Bass

Publisher: Pearson College Division

ISBN: 9780321473318

Category: Mathematics

Page: 166

View: 1026

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: 4220

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: 8934

No descriptive material is available for this title.

Fundamentals of Mathematics


Author: Heinrich Behnke

Publisher: MIT Press

ISBN: 9780262020695

Category: Mathematics

Page: 685

View: 9948

Volume II of a unique survey of the whole field of pure mathematics.

Geometric Fundamentals of Robotics

Author: J.M. Selig

Publisher: Springer Science & Business Media

ISBN: 9780387208749

Category: Technology & Engineering

Page: 398

View: 9361

* 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

Fundamental Concepts of Algebra

Author: Bruce Elwyn Meserve

Publisher: Courier Corporation

ISBN: 9780486614700

Category: Mathematics

Page: 294

View: 9665

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.

Riemannian Geometry

Author: Takashi Sakai

Publisher: American Mathematical Soc.

ISBN: 9780821889565

Category: Mathematics

Page: 358

View: 5137

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.

An Introduction to Analytic Geometry and Calculus

Author: A. C. Burdette

Publisher: Academic Press

ISBN: 1483265226

Category: Mathematics

Page: 448

View: 6286

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.

Fundamentals of Differential Geometry

Author: Serge Lang

Publisher: Springer Science & Business Media

ISBN: 9780387985930

Category: Mathematics

Page: 540

View: 7151

This book provides an introduction to the basic concepts in differential topology, differential geometry, and differential equations, and some of the main basic theorems in all three areas. This new edition includes new chapters, sections, examples, and exercises. From the reviews: "There are many books on the fundamentals of differential geometry, but this one is quite exceptional; this is not surprising for those who know Serge Lang's books." --EMS NEWSLETTER

Differentialgeometrie von Kurven und Flächen

Author: Manfredo P. do Carmo

Publisher: Springer-Verlag

ISBN: 3322850722

Category: Technology & Engineering

Page: 263

View: 4206

Inhalt: Kurven - Reguläre Flächen - Die Geometrie der Gauß-Abbildung - Die innere Geometrie von Flächen - Anhang

Geometry for the Classroom

Author: C.Herbert Clemens,Michael A. Clemens

Publisher: Springer Science & Business Media

ISBN: 1461209617

Category: Mathematics

Page: 356

View: 9258

Intended for use in college courses for prospective or in-service secondary school teachers of geometry. Designed to give teachers broad preparation in the content of elementary geometry as well as closely related topics of a slightly more advanced nature. The presentation and the modular format are designed to incorporate a flexible methodology for the teaching of geometry, one that can be adapted to different classroom settings. The basic strategy is to develop the few fundamental concepts of elementary geometry, first in intuitive form, and then more rigorously. The rest of the material is then built up out of these concepts through a combination of exposition and "guided discovery" in the problem sections. A separate volume including the solutions to the exercises is also available.

Geometrie für Dummies

Author: Wendy Arnone

Publisher: John Wiley & Sons

ISBN: 3527657142

Category: Mathematics

Page: 347

View: 1896

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.

Basic Geometry

Author: George David Birkhoff,Ralph Beatley

Publisher: The Rosen Publishing Group

ISBN: 9780821821015

Category: Mathematics

Page: 294

View: 1863

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.

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: 3682

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.