Fundamental Concepts of Geometry

Author: Bruce E. Meserve

Publisher: Courier Corporation

ISBN: 048615226X

Category: Mathematics

Page: 336

View: 7771

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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.

Fundamental Concepts of Geometry

Author: Bruce E. Meserve

Publisher: Courier Corporation

ISBN: 9780486634159

Category: Mathematics

Page: 321

View: 8857

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Demonstrates in a clear and lucid manner the relationships between several types of geometry. This highly regarded work is a superior teaching text, especially valuable in teacher preparation, as well as providing an excellent overview of the foundations and historical evolution of geometrical concepts. Preface. Index. Bibliography. 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: 661

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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.

Geometry

Fundamental Concepts and Applications

Author: Alan Bass

Publisher: Pearson College Division

ISBN: 9780321473318

Category: Mathematics

Page: 166

View: 7235

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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

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: 2616

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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 of Algebra

Author: Bruce Elwyn Meserve

Publisher: Courier Corporation

ISBN: 9780486614700

Category: Mathematics

Page: 294

View: 5715

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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.

Foundations and Fundamental Concepts of Mathematics

Author: Howard Eves

Publisher: Courier Corporation

ISBN: 048613220X

Category: Mathematics

Page: 368

View: 592

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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.

Lectures on Fundamental Concepts of Algebra and Geometry

Author: John Wesley Young

Publisher: BiblioBazaar, LLC

ISBN: 9781103066278

Category: History

Page: 260

View: 9857

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This is a pre-1923 historical reproduction that was curated for quality. Quality assurance was conducted on each of these books in an attempt to remove books with imperfections introduced by the digitization process. Though we have made best efforts - the books may have occasional errors that do not impede the reading experience. We believe this work is culturally important and have elected to bring the book back into print as part of our continuing commitment to the preservation of printed works worldwide.

An Introduction to Analytic Geometry and Calculus

Author: A. C. Burdette

Publisher: Academic Press

ISBN: 1483265226

Category: Mathematics

Page: 448

View: 2287

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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.

A Modern View of Geometry

Author: Leonard M. Blumenthal

Publisher: Courier Dover Publications

ISBN: 0486821137

Category: Mathematics

Page: 208

View: 5160

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Elegant exposition of postulation geometry of planes offers rigorous, lucid treatment of coordination of affine and projective planes, set theory, propositional calculus, affine planes with Desargues and Pappus properties, more. 1961 edition.

First Concepts of Topology

Author: William G. Chinn,Norman Earl Steenrod

Publisher: MAA

ISBN: 9780883856185

Category: Mathematics

Page: 160

View: 1870

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Presents topology as a unifying force for larger areas of mathematics through its application in existence theorems.

Basic Concepts of Algebraic Topology

Author: F.H. Croom

Publisher: Springer Science & Business Media

ISBN: 1468494759

Category: Mathematics

Page: 180

View: 9159

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This text is intended as a one semester introduction to algebraic topology at the undergraduate and beginning graduate levels. Basically, it covers simplicial homology theory, the fundamental group, covering spaces, the higher homotopy groups and introductory singular homology theory. The text follows a broad historical outline and uses the proofs of the discoverers of the important theorems when this is consistent with the elementary level of the course. This method of presentation is intended to reduce the abstract nature of algebraic topology to a level that is palatable for the beginning student and to provide motivation and cohesion that are often lacking in abstact treatments. The text emphasizes the geometric approach to algebraic topology and attempts to show the importance of topological concepts by applying them to problems of geometry and analysis. The prerequisites for this course are calculus at the sophomore level, a one semester introduction to the theory of groups, a one semester introduc tion to point-set topology and some familiarity with vector spaces. Outlines of the prerequisite material can be found in the appendices at the end of the text. It is suggested that the reader not spend time initially working on the appendices, but rather that he read from the beginning of the text, referring to the appendices as his memory needs refreshing. The text is designed for use by college juniors of normal intelligence and does not require "mathematical maturity" beyond the junior level.

Handbook of Mathematical Formulas

Author: Hans-Jochen Bartsch

Publisher: Academic Press

ISBN: 1483267423

Category: Mathematics

Page: 528

View: 6147

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Handbook of Mathematical Formulas presents a compilation of formulas to provide the necessary educational aid. This book covers the whole field from the basic rules of arithmetic, via analytic geometry and infinitesimal calculus through to Fourier's series and the basics of probability calculus. Organized into 12 chapters, this book begins with an overview of the fundamental notions of set theory. This text then explains linear expression wherein the variables are only multiplied by constants and added to constants or expressions of the same kind. Other chapters consider a variety of topics, including matrices, statistics, linear optimization, Boolean algebra, and Laplace's transforms. This book discusses as well the various systems of coordinates in analytical geometry. The final chapter deals with algebra of logic and its development into a two-value Boolean algebra as switching algebra. This book is intended to be suitable for students of technical schools, colleges, and universities.

Geometry with Trigonometry

Author: Patrick D Barry

Publisher: Woodhead Publishing

ISBN: 0128050675

Category: Mathematics

Page: 280

View: 2186

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Geometry with Trigonometry Second Edition is a second course in plane Euclidean geometry, second in the sense that many of its basic concepts will have been dealt with at school, less precisely. It gets underway with a large section of pure geometry in Chapters 2 to 5 inclusive, in which many familiar results are efficiently proved, although the logical frame work is not traditional. In Chapter 6 there is a convenient introduction of coordinate geometry in which the only use of angles is to handle the perpendicularity or parallelism of lines. Cartesian equations and parametric equations of a line are developed and there are several applications. In Chapter 7 basic properties of circles are developed, the mid-line of an angle-support, and sensed distances. In the short Chaper 8 there is a treatment of translations, axial symmetries and more generally isometries. In Chapter 9 trigonometry is dealt with in an original way which e.g. allows concepts such as clockwise and anticlockwise to be handled in a way which is not purely visual. By the stage of Chapter 9 we have a context in which calculus can be developed. In Chapter 10 the use of complex numbers as coordinates is introduced and the great conveniences this notation allows are systematically exploited. Many and varied topics are dealt with , including sensed angles, sensed area of a triangle, angles between lines as opposed to angles between co-initial half-lines (duo-angles). In Chapter 11 various convenient methods of proving geometrical results are established, position vectors, areal coordinates, an original concept mobile coordinates. In Chapter 12 trigonometric functions in the context of calculus are treated. New to this edition: The second edition has been comprehensively revised over three years Errors have been corrected and some proofs marginally improved The substantial difference is that Chapter 11 has been significantly extended, particularly the role of mobile coordinates, and a more thorough account of the material is given Provides a modern and coherent exposition of geometry with trigonometry for many audiences across mathematics Provides many geometric diagrams for a clear understanding of the text and includes problem exercises for many chapters Generalizations of this material, such as to solid euclidean geometry and conic sections, when combined with calculus, would lead to applications in science, engineering, and elsewhere

Invitation to Geometry

Author: Z. A. Melzak

Publisher: Courier Corporation

ISBN: 0486789489

Category: Mathematics

Page: 240

View: 8866

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Intended for students of many different backgrounds with only a modest knowledge of mathematics, this text features self-contained chapters that can be adapted to several types of geometry courses. Only a slight acquaintance with mathematics beyond the high-school level is necessary, including some familiarity with calculus and linear algebra. This text's introductions to several branches of geometry feature topics and treatments based on memorability and relevance. The author emphasizes connections with calculus and simple mechanics, focusing on developing students' grasp of spatial relationships. Subjects include classical Euclidean material, polygonal and circle isoperimetry, conics and Pascal's theorem, geometrical optimization, geometry and trigonometry on a sphere, graphs, convexity, and elements of differential geometry of curves. Additional material may be conveniently introduced in several places, and each chapter concludes with exercises of varying degrees of difficulty.