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Author: Donald L. Vossler
Publisher:
ISBN: 9780127282565
Category : Geometry, Analytic
Languages : en
Pages : 0
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Book Description
Author: Donald L. Vossler
Publisher:
ISBN: 9780127282565
Category : Geometry, Analytic
Languages : en
Pages : 0
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Book Description
Author: Albert Clark Burdette
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 456
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Book Description
Author: Izu Vaisman
Publisher: World Scientific Publishing Company
ISBN: 9813102993
Category : Mathematics
Languages : en
Pages : 298
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Book Description
This volume discusses the classical subjects of Euclidean, affine and projective geometry in two and three dimensions, including the classification of conics and quadrics, and geometric transformations. These subjects are important both for the mathematical grounding of the student and for applications to various other subjects. They may be studied in the first year or as a second course in geometry.The material is presented in a geometric way, and it aims to develop the geometric intuition and thinking of the student, as well as his ability to understand and give mathematical proofs. Linear algebra is not a prerequisite, and is kept to a bare minimum.The book includes a few methodological novelties, and a large number of exercises and problems with solutions. It also has an appendix about the use of the computer program MAPLEV in solving problems of analytical and projective geometry, with examples.
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.
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.
Author: Alexander Ziwet
Publisher:
ISBN:
Category : Geometry, Analytic
Languages : en
Pages : 394
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Book Description
Author: Gerd Fischer
Publisher: Springer
ISBN: 354038121X
Category : Mathematics
Languages : en
Pages : 208
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Book Description
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.
Author: A. C. Burdette
Publisher: Academic Press
ISBN: 1483262413
Category : Mathematics
Languages : en
Pages : 240
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Book Description
Analytic Geometry covers several fundamental aspects of analytic geometry needed for advanced subjects, including calculus. This book is composed of 12 chapters that review the principles, concepts, and analytic proofs of geometric theorems, families of lines, the normal equation of the line, and related matters. Other chapters highlight the application of graphing, foci, directrices, eccentricity, and conic-related topics. The remaining chapters deal with the concept polar and rectangular coordinates, surfaces and curves, and planes. This book will prove useful to undergraduate trigonometric students.
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.
