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Author : Margaret L. Lial,Barbara A. Brown,Arnold R. Steffenson,L. Murphy Johnson
Publisher : Addison-Wesley Longman
Page : 484 pages
File Size : 43,9 Mb
Release : 2010-08-24
Category : Mathematics
ISBN : 0321671821
Author : Webster Wells
Publisher : Unknown
Page : 264 pages
File Size : 49,7 Mb
Release : 1898
Category : Geometry
ISBN : HARVARD:HW22K7
Author : Webster Wells
Publisher : Unknown
Page : 406 pages
File Size : 49,9 Mb
Release : 1904
Category : Geometry
ISBN : OCLC:29818360
Author : Webster Wells
Publisher : Unknown
Page : 406 pages
File Size : 43,9 Mb
Release : 1909
Category : Geometry
ISBN : OCLC:14561358
Author : Webster Wells
Publisher : Unknown
Page : 232 pages
File Size : 52,6 Mb
Release : 1900
Category : Geometry
ISBN : OCLC:1029202880
Author : L. Murphy Johnson,Lial,Arnold R. Steffensen
Publisher : Addison Wesley
Page : 176 pages
File Size : 45,8 Mb
Release : 1997-01-01
Category : Mathematics
ISBN : 0673389634
Author : C. R. Wylie
Publisher : Courier Corporation
Page : 578 pages
File Size : 52,5 Mb
Release : 2011-09-12
Category : Mathematics
ISBN : 9780486141701
This lucid introductory text offers both an analytic and an axiomatic approach to plane projective geometry. The analytic treatment builds and expands upon students' familiarity with elementary plane analytic geometry and provides a well-motivated approach to projective geometry. Subsequent chapters explore Euclidean and non-Euclidean geometry as specializations of the projective plane, revealing the existence of an infinite number of geometries, each Euclidean in nature but characterized by a different set of distance- and angle-measurement formulas. Outstanding pedagogical features include worked-through examples, introductions and summaries for each topic, and numerous theorems, proofs, and exercises that reinforce each chapter's precepts. Two helpful indexes conclude the text, along with answers to all odd-numbered exercises. In addition to its value to undergraduate students of mathematics, computer science, and secondary mathematics education, this volume provides an excellent reference for computer science professionals.
Author : Serge Lang
Publisher : Springer Science & Business Media
Page : 553 pages
File Size : 40,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461205418
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
Author : Tevian Dray
Publisher : CRC Press
Page : 324 pages
File Size : 45,6 Mb
Release : 2014-10-20
Category : Mathematics
ISBN : 9781466510005
Differential Forms and the Geometry of General Relativity provides readers with a coherent path to understanding relativity. Requiring little more than calculus and some linear algebra, it helps readers learn just enough differential geometry to grasp the basics of general relativity. The book contains two intertwined but distinct halves. Designed for advanced undergraduate or beginning graduate students in mathematics or physics, most of the text requires little more than familiarity with calculus and linear algebra. The first half presents an introduction to general relativity that describes some of the surprising implications of relativity without introducing more formalism than necessary. This nonstandard approach uses differential forms rather than tensor calculus and minimizes the use of "index gymnastics" as much as possible. The second half of the book takes a more detailed look at the mathematics of differential forms. It covers the theory behind the mathematics used in the first half by emphasizing a conceptual understanding instead of formal proofs. The book provides a language to describe curvature, the key geometric idea in general relativity.
Author : Ciro Ciliberto
Publisher : Springer Nature
Page : 327 pages
File Size : 55,7 Mb
Release : 2021-05-05
Category : Mathematics
ISBN : 9783030710217
This book consists of two parts. The first is devoted to an introduction to basic concepts in algebraic geometry: affine and projective varieties, some of their main attributes and examples. The second part is devoted to the theory of curves: local properties, affine and projective plane curves, resolution of singularities, linear equivalence of divisors and linear series, Riemann–Roch and Riemann–Hurwitz Theorems. The approach in this book is purely algebraic. The main tool is commutative algebra, from which the needed results are recalled, in most cases with proofs. The prerequisites consist of the knowledge of basics in affine and projective geometry, basic algebraic concepts regarding rings, modules, fields, linear algebra, basic notions in the theory of categories, and some elementary point–set topology. This book can be used as a textbook for an undergraduate course in algebraic geometry. The users of the book are not necessarily intended to become algebraic geometers but may be interested students or researchers who want to have a first smattering in the topic. The book contains several exercises, in which there are more examples and parts of the theory that are not fully developed in the text. Of some exercises, there are solutions at the end of each chapter.
Author : Anonim
Publisher : Popular Prakashan
Page : 104 pages
File Size : 43,6 Mb
Release : 2024-07-01
Category : Electronic
ISBN : 8171549578
Author : Anonim
Publisher : Floris Books - Floris Books
Page : 86 pages
File Size : 55,7 Mb
Release : 2007
Category : Architecture
ISBN : 0863156088
Geometry is both elegantly simple and infinitely profound. Many professionals find they need to be able to draw geometric shapes accurately, and this unique book shows them how. It provides step-by-step instructions for constructing two-dimensional geometric shapes, which can be readily followed by a beginner, or used as an invaluable source book by students and professionals.
Author : Erwin Kreyszig
Publisher : Courier Corporation
Page : 384 pages
File Size : 53,9 Mb
Release : 2013-04-26
Category : Mathematics
ISBN : 9780486318622
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.
Author : Masaaki Umehara,Kotaro Yamada
Publisher : World Scientific Publishing Company
Page : 328 pages
File Size : 49,9 Mb
Release : 2017-05-12
Category : Electronic
ISBN : 9789814740265
This engrossing volume on curve and surface theories is the result of many years of experience the authors have had with teaching the most essential aspects of this subject. The first half of the text is suitable for a university-level course, without the need for referencing other texts, as it is completely self-contained. More advanced material in the second half of the book, including appendices, also serves more experienced students well. Furthermore, this text is also suitable for a seminar for graduate students, and for self-study. It is written in a robust style that gives the student the opportunity to continue his study at a higher level beyond what a course would usually offer. Further material is included, for example, closed curves, enveloping curves, curves of constant width, the fundamental theorem of surface theory, constant mean curvature surfaces, and existence of curvature line coordinates. Surface theory from the viewpoint of manifolds theory is explained, and encompasses higher level material that is useful for the more advanced student. This includes, but is not limited to, indices of umbilics, properties of cycloids, existence of conformal coordinates, and characterizing conditions for singularities. In summary, this textbook succeeds in elucidating detailed explanations of fundamental material, where the most essential basic notions stand out clearly, but does not shy away from the more advanced topics needed for research in this field. It provides a large collection of mathematically rich supporting topics. Thus, it is an ideal first textbook in this field. Request Inspection Copy
Author : Andrew McInerney
Publisher : Springer Science & Business Media
Page : 420 pages
File Size : 55,9 Mb
Release : 2013-07-09
Category : Mathematics
ISBN : 9781461477327
Differential geometry arguably offers the smoothest transition from the standard university mathematics sequence of the first four semesters in calculus, linear algebra, and differential equations to the higher levels of abstraction and proof encountered at the upper division by mathematics majors. Today it is possible to describe differential geometry as "the study of structures on the tangent space," and this text develops this point of view. This book, unlike other introductory texts in differential geometry, develops the architecture necessary to introduce symplectic and contact geometry alongside its Riemannian cousin. The main goal of this book is to bring the undergraduate student who already has a solid foundation in the standard mathematics curriculum into contact with the beauty of higher mathematics. In particular, the presentation here emphasizes the consequences of a definition and the careful use of examples and constructions in order to explore those consequences.