Exploring Analytic Geometry with Mathematica

Exploring Analytic Geometry with Mathematica PDF Author: Donald L. Vossler
Publisher:
ISBN: 9780127282565
Category : Geometry, Analytic
Languages : en
Pages : 0

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Book Description

Exploring Analytic Geometry with Mathematica

Exploring Analytic Geometry with Mathematica PDF Author: Donald L. Vossler
Publisher:
ISBN: 9780127282565
Category : Geometry, Analytic
Languages : en
Pages : 0

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Book Description


Exploring Analytic Geometry with Mathematica

Exploring Analytic Geometry with Mathematica PDF Author: Donald L. Vossler
Publisher: Academic Press
ISBN: 9780127282558
Category : Computers
Languages : en
Pages : 865

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Book Description
The study of two-dimensional analytic geometry has gone in and out of fashion several times over the past century, however this classic field of mathematics has once again become popular due to the growing power of personal computers and the availability of powerful mathematical software systems, such as Mathematica, that can provide an interactive environment for studying the field. By combining the power of Mathematica with an analytic geometry software system called Descarta2D, the author has succeeded in meshing an ancient field of study with modern computational tools, the result being a simple, yet powerful, approach to studying analytic geometry. Students, engineers and mathematicians alike who are interested in analytic geometry can use this book and software for the study, research or just plain enjoyment of analytic geometry. Mathematica provides an attractive environment for studying analytic geometry. Mathematica supports both numeric and symbolic computations meaning that geometry problems can be solved for special cases using numbers, as well as general cases producing formulas. Mathematica also has good facilities for producing graphical plots which are useful for visualizing the graphs of two-dimensional geometry. * A classic study in analytic geometry, complete with in-line Mathematica dialogs illustrating every concept as it is introduced * Excellent theoretical presentation *Fully explained examples of all key concepts * Interactive Mathematica notebooks for the entire book * Provides a complete computer-based environment for study of analytic geometry * All chapters and reference material are provided on CD-ROM in addition to being printedin the book * Complete software system: Descarta2D * A software system, including source code, for the underlying computer implementation, called Descarta2D is provided * Part VII of the book is a listing of the (30) Mathematica files supporting Descarta2D; the source code is also supplied on CD-ROM * Explorations * More than 120 challenging problems in analytic geometry are posed; Complete solutions are provided both as interactive Mathematica notebooks on CD-ROM and as printed material in the book * Mathematica and Descarta2D Hints expand the reader's knowledge and understanding of Descarta2D and Mathematica * Sortware developed with Mathematica 3.0 and is compatible with Mathematica 4.0 * Detailed reference manual * Complete documentation for Descarta2D * Fully integrated into the Mathematica Help Browser

An Introduction to Analytic Geometry and Calculus

An Introduction to Analytic Geometry and Calculus PDF Author: A. C. Burdette
Publisher: Academic Press
ISBN: 1483265226
Category : Mathematics
Languages : en
Pages : 425

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Book Description
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.

Analytic Geometry of Space

Analytic Geometry of Space PDF Author: Virgil Snyder
Publisher: Legare Street Press
ISBN: 9781020347849
Category :
Languages : en
Pages : 0

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Book Description
The study of analytic geometry has long been a foundational component of mathematical education, and this classic text by Charles Herschel Sisam and Virgil Snyder remains one of the most thorough and lucid treatments of the subject available. In clear and accessible prose, the authors offer a detailed exploration of the key concepts and techniques that underlie analytic geometry, including vectors, planes, and points, as well as the applications of these principles in fields ranging from physics and engineering to economics and computer science. An essential reference for students, teachers, and anyone interested in the beauty and power of mathematics. 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 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. 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.

Higher Geometry

Higher Geometry PDF Author: Frederick S. Woods
Publisher: Courier Corporation
ISBN: 0486159566
Category : Mathematics
Languages : en
Pages : 442

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Book Description
For students of mathematics with a sound background in analytic geometry and some knowledge of determinants, this volume has long been among the best available expositions of advanced work on projective and algebraic geometry. Developed from Professor Woods' lectures at the Massachusetts Institute of Technology, it bridges the gap between intermediate studies in the field and highly specialized works. With exceptional thoroughness, it presents the most important general concepts and methods of advanced algebraic geometry (as distinguished from differential geometry). It offers a thorough study of one-, two-, three-, and four-dimensional coordinated systems, the concepts they entail, and their associated geometrical elements. This study culminates with a discussion of n-dimensional geometry in an abstract sense, of which the earlier subjects form concrete illustrations. As each system of coordinates is introduced, the meaning of the linear and quadratic equations is studied, with principal emphasis on the interpretation of equations as well as on a knowledge of useful geometrical facts. The principle of duality is kept at the forefront, and the nature of imaginary elements and the conventional character of the locus of infinity, dependent upon the type of coordinates used, are carefully explained.

Analytic and Algebraic Geometry

Analytic and Algebraic Geometry PDF Author: Jeffery D. McNeal
Publisher: American Mathematical Soc.
ISBN: 0821872753
Category : Mathematics
Languages : en
Pages : 601

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Book Description
"Analytic and algebraic geometers often study the same geometric structures but bring different methods to bear on them. While this dual approach has been spectacularly successful at solving problems, the language differences between algebra and analysis also represent a difficulty for students and researchers in geometry, particularly complex geometry. The PCMI program was designed to partially address this language gulf, by presenting some of the active developments in algebraic and analytic geometry in a form suitable for students on the 'other side' of the analysis-algebra language divide. One focal point of the summer school was multiplier ideals, a subject of wide current interest in both subjects. The present volume is based on a series of lectures at the PCMI summer school on analytic and algebraic geometry. The series is designed to give a high-level introduction to the advanced techniques behind some recent developments in algebraic and analytic geometry. The lectures contain many illustrative examples, detailed computations, and new perspectives on the topics presented, in order to enhance access of this material to non-specialists."--Publisher's description.

Analytic Geometry

Analytic Geometry PDF Author: Linnaeus Wayland Dowling
Publisher: Legare Street Press
ISBN: 9781020968860
Category :
Languages : en
Pages : 0

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Book Description
In this classic textbook, Riggs provides a comprehensive overview of analytic geometry, covering topics such as the straight line, circle, parabola, and hyperbola. Written in a clear and accessible style, Riggs's book is an essential resource for anyone studying math or science at the college level. This book is perfect for students or instructors looking for a thorough introduction to this important mathematical field. 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 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. 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.

Analytical Geometry 2D and 3D

Analytical Geometry 2D and 3D PDF Author: Vittal
Publisher: Pearson Education India
ISBN: 9332517630
Category : Geometry, Analytic
Languages : en
Pages : 509

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Book Description
Designed to meet the requirements of UG students, the book deals with the theoretical as well as the practical aspects of the subject. Equal emphasis has been given to both 2D as well as 3D geometry. The book follows a systematic approach with adequate examples for better understanding of the concepts.

Analytic Geometry and Principles of Algebra

Analytic Geometry and Principles of Algebra PDF Author: Alexander Ziwet
Publisher:
ISBN:
Category : Geometry, Analytic
Languages : en
Pages : 396

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Book Description


Analysis and Geometry on Graphs and Manifolds

Analysis and Geometry on Graphs and Manifolds PDF Author: Matthias Keller
Publisher: Cambridge University Press
ISBN: 1108587380
Category : Mathematics
Languages : en
Pages : 493

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Book Description
This book addresses the interplay between several rapidly expanding areas of mathematics. Suitable for graduate students as well as researchers, it provides surveys of topics linking geometry, spectral theory and stochastics.