History Of Analytic Geometry

Author: Carl B. Boyer
Publisher: Courier Corporation
ISBN: 0486154513
File Size: 46,41 MB
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This study presents the concepts and contributions from before the Alexandrian Age through to Fermat and Descartes, and on through Newton and Euler to the "Golden Age," from 1789 to 1850. 1956 edition. Analytical bibliography. Index.

Solid Analytic Geometry

Author: Abraham Adrian Albert
Publisher: Courier Dover Publications
ISBN: 0486814688
File Size: 13,21 MB
Format: PDF
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The first seven chapters of this concise text provide an exposition of the basic topics of solid analytic geometry and comprise the material for a one-semester course on the subject for undergraduate mathematics majors. The remaining two chapters offer additional material for longer courses or supplementary study. Chapters 1 and 2 contain a treatment of the equations of lines and planes. Subsequent chapters offer an exposition of classical elementary surface and curve theory, a treatment of spheres, and an examination of the classical descriptions of quadric surfaces in standard position. An exploration of the theory of matrices follows, with applications to the three-dimensional case of quadric surfaces. The text concludes with a survey of spherical coordinates and elements of projective geometry.

Lectures On Analytic And Projective Geometry

Author: Dirk J. Struik
Publisher: Courier Corporation
ISBN: 0486485951
File Size: 79,74 MB
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This undergraduate text develops the geometry of plane and space, leading up to conics and quadrics, within the context of metrical, affine, and projective transformations. 1953 edition.

Coordinate Geometry

Author: Luther Pfahler Eisenhart
Publisher: Courier Corporation
ISBN: 0486442616
File Size: 22,58 MB
Format: PDF
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A thorough, complete, and unified introduction, this volume affords exceptional insights into coordinate geometry. Invariants of conic sections and quadric surfaces receive full treatments. Algebraic equations on the first degree in two and three unknowns are carefully reviewed. Throughout the book, results are formulated precisely, with clearly stated theorems. More than 500 helpful exercises. 1939 edition.

Analytical Conics

Author: Barry Spain
Publisher: Courier Corporation
ISBN: 0486457737
File Size: 60,52 MB
Format: PDF, ePub
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This concise text introduces students to analytical geometry, covering basic ideas and methods. Readily intelligible to any student with a sound mathematical background, it is designed both for undergraduates and for math majors. It will prove particularly valuable in preparing readers for more advanced treatments. The text begins with an overview of the analytical geometry of the straight line, circle, and the conics in their standard forms. It proceeds to discussions of translations and rotations of axes, and of the general equation of the second degree. The concept of the line at infinity is introduced, and the main properties of conics and pencils of conics are derived from the general equation. The fundamentals of cross-ratio, homographic correspondence, and line-coordinates are explored, including applications of the latter to focal properties. The final chapter provides a compact account of generalized homogeneous coordinates, and a helpful appendix presents solutions to many of the examples.

Technical Calculus With Analytic Geometry

Author: Peter Kuhfittig
Publisher: Cengage Learning
ISBN: 1133945198
File Size: 65,12 MB
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Written for today’s technology student, TECHNICAL CALCULUS WITH ANALYTIC GEOMETRY prepares you for your future courses! With an emphasis on applications, this mathematics text helps you learn calculus skills that are particular to technology. Clear presentation of concepts, detailed examples, marginal annotations, and step-by-step procedures enhance your understanding of difficult concepts. Notations that are frequently encountered in technology are used throughout to help you prepare for further courses in your career. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Modern Calculus And Analytic Geometry

Author: Richard A. Silverman
Publisher: Courier Corporation
ISBN: 0486793982
File Size: 15,29 MB
Format: PDF
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A self-contained text for an introductory course, this volume places strong emphasis on physical applications. Key elements of differential equations and linear algebra are introduced early and are consistently referenced, all theorems are proved using elementary methods, and numerous worked-out examples appear throughout. The highly readable text approaches calculus from the student's viewpoint and points out potential stumbling blocks before they develop. A collection of more than 1,600 problems ranges from exercise material to exploration of new points of theory — many of the answers are found at the end of the book; some of them worked out fully so that the entire process can be followed. This well-organized, unified text is copiously illustrated, amply cross-referenced, and fully indexed.

Famous Problems Of Geometry And How To Solve Them

Author: Benjamin Bold
Publisher: Courier Corporation
ISBN: 0486137635
File Size: 39,78 MB
Format: PDF, Kindle
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Delve into the development of modern mathematics and match wits with Euclid, Newton, Descartes, and others. Each chapter explores an individual type of challenge, with commentary and practice problems. Solutions.

Geometry Of Complex Numbers

Author: Hans Schwerdtfeger
Publisher: Courier Corporation
ISBN: 0486135861
File Size: 25,43 MB
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Illuminating, widely praised book on analytic geometry of circles, the Moebius transformation, and 2-dimensional non-Euclidean geometries.

Differential Geometry

Author: Erwin Kreyszig
Publisher: Courier Corporation
ISBN: 0486318621
File Size: 19,13 MB
Format: PDF, Docs
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An introductory textbook on the differential geometry of curves and surfaces in 3-dimensional Euclidean space, presented in its simplest, most essential form. With problems and solutions. Includes 99 illustrations.