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Book
xvi, 620 pages : illustrations ; 24 cm.
  • Projective spaces and linear varieties
  • Projective coordinates and cross ratio
  • Affine geometry
  • Duality
  • Projective transformations
  • Quadric hypersurfaces
  • Classification and properties of quadrics
  • Further properties of quadrics
  • Projective spaces of quadrics
  • Metric geometry of quadrics
  • Three projective classifications
  • Perspective (for artists)
  • Models of non-Euclidean geometries.
Science Library (Li and Ma)

2. Higher geometry [2014]

Book
xii, 227 pages : illustrations ; 24 cm
  • Projective Planes / Projective Transformations / Transformation Groups and Geometry / Theory of Conics / The Historic Development Track of Geometry / Bibliographies / Subject Index.
  • (source: Nielsen Book Data)9781842657744 20160614
This book provides an introduction to plane projective geometry and affine geometry. Its main contents involve projective plane, projective transformations, transformation groups and geometry, the projective and affine theories of conics, the historic development track of geometry and so on. The book is easy both to teach and to learn, which is typical of its well-knit system, refined content and colorful pictures. The book can act as text-book for undergraduates in maths' majors as well as reference book for faculty concerned.
(source: Nielsen Book Data)9781842657744 20160614
Science Library (Li and Ma)
Book
1 online resource (viii, 274 p.)
dx.doi.org SpringerLink
Book
xii, 198 p. : ill. ; 24 cm.
  • Foreword-- 1. Assumed knowledge-- 2. Introduction-- 3. Introduction to axiomatic geometry-- 4. Field planes and PG(r, F)-- 5. Coordinatising a projective plane-- 6. Non-Desarguesian planes-- 7. Conics-- 8. Quadrics in PG(3, F)-- Reference textbooks-- Index.
  • (source: Nielsen Book Data)9780199298853 20160528
This lucid and accessible text provides an introductory guide to projective geometry, an area of mathematics concerned with the properties and invariants of geometric figures under projection. Including numerous worked examples and exercises throughout, the book covers axiomatic geometry, field planes and PG(r, F), coordinatising a projective plane, non-Desarguesian planes, conics and quadrics in PG(3, F). Assuming familiarity with linear algebra, elementary group theory, partial differentiation and finite fields, as well as some elementary coordinate geometry, this text is ideal for 3rd and 4th year mathematics undergraduates.
(source: Nielsen Book Data)9780199298860 20160528
SAL3 (off-campus storage)
Book
xvi, 205 p. : ill. ; 24 cm.
Algebraic projective geometry, with its multilinear relations and its embedding into Grassmann-Cayley algebra, has become the basic representation of multiple view geometry, resulting in deep insights into the algebraic structure of geometric relations, as well as in efficient and versatile algorithms for computer vision and image analysis. This book provides a coherent integration of algebraic projective geometry and spatial reasoning under uncertainty with applications in computer vision. Beyond systematically introducing the theoretical foundations from geometry and statistics and clear rules for performing geometric reasoning under uncertainty, the author provides a collection of detailed algorithms. The book addresses researchers and advanced students interested in algebraic projective geometry for image analysis, in statistical representation of objects and transformations, or in generic tools for testing and estimating within the context of geometric multiple-view analysis.
(source: Nielsen Book Data)9783540220299 20160528
dx.doi.org SpringerLink
SAL3 (off-campus storage)
Book
1 online resource (418 pages)
  • PART 1: THE ORIGINS AND DEVELOPMENT OF GEOMETRICAL KNOWLEDGE-- PART 2: ABSTRACT PROJECTIVE GEOMETRY.
  • (source: Nielsen Book Data)9780198503637 20180521
Reissued in the Oxford Classic Texts in the Physical Sciences series, and first published in 1952, this book has been recommended to generations of students. It provides a clear and systematic introduction to projective geometry, building on concepts from linear algebra. " [Topics are] presented with a simplicity and clarity of treatment ...This interesting book may be warmly recommended." Mathematical Gazette.
(source: Nielsen Book Data)9780198503637 20180521
Book
x, 258 p. : ill. ; 24 cm.
  • 1. Synthetic geometry-- 2. Analytic geometry-- 3. The representation theorems-- 4. Quadratic sets-- 5. Applications of geometry to coding theory-- 6. Applications of geometry in cryptography.
  • (source: Nielsen Book Data)9780521482776 20160528
Projective geometry is not only a jewel of mathematics, but has also many applications in modern information and communication science. This book presents the foundations of classical projective and affine geometry as well as its important applications in coding theory and cryptography. It also could serve as a first acquaintance with diagram geometry. Written in clear and contemporary language with an entertaining style and around 200 exercises, examples and hints, this book is ideally suited to be used as a textbook for study in the classroom or on its own.
(source: Nielsen Book Data)9780521483643 20160528
This book introduces the basic ideas of mathematical proof to students embarking on university mathematics. The emphasis is on helping the reader to understand and construct proofs and write clear mathematics. The authors achieve this by exploring set theory, combinatorics and number theory, which include many fundamental mathematical ideas. This material illustrates how familiar ideas can be formulated rigorously, provides examples demonstrating a wide range of basic methods of proof, and includes some of the all time great classic proofs. The book presents mathematics as a continually developing subject. Material meeting the needs of readers from a wide range of backgrounds is included. The over 250 problems include questions to interest and challenge the most able student but also plenty of routine exercises to help familiarize the reader with the basic ideas.
(source: Nielsen Book Data)9780521482776 20160528
SAL3 (off-campus storage)
Book
x, 174 p. : ill. ; 23 cm.
SAL3 (off-campus storage)
Book
xi, 1420 p. : ill. ; 25 cm.
  • An introduction to incidence geometry, F. Buekenhout-- projective and affine geometry over division rings, F. Buekenhout and P. Cameron-- foundations of incidence geometry, F. Buekenhout-- projective planes, A. Beutelspacher-- translation planes, M. Kallaher-- dimensional linear spaces, A. Delandtsheer-- projective geometry over a finite field, J.A. Thas-- block designs, A.E. Brouwer and H.A. Wilbrink-- generalized polygons, J.A. Thas-- some classes of rank 2 geometries, F. De Clerck and H. Van Maldeghem-- buildings, R. Scharlau-- point-line spaces related to buildings, A.M. Cohen-- free constructions, M. Funk and K. Strambach-- chain geometries, A. Herzer-- discrete non-euclidean geometry, J.J. Seidel-- distance preserving transformations, J.A. Lester-- metric geometry, E.M. Schroder-- pointless geometries, G. Gerla-- geometry over rings, F.D. Veldkamp-- applications of buildings, J. Rohlfs and T.A. Springer-- projective geometry on modular lattices, U. Brehm et al-- finite diagram geometries extending buildings, F. Buekenhout and A. Pasini-- linear topological geometries, T. Grundhofer and R. Lowen-- topological circle geometries, G.F. Steinke.
  • (source: Nielsen Book Data)9780444883551 20160528
This handbook deals with the foundations of incidence geometry, in relationship with division rings, rings, algebras, lattices, groups, topology, graphs, logic and its autonomous development from various viewpoints. Projective and affine geometry are covered in various ways. Major classes of rank 2 geometries such as generalized polygons and partial geometries are surveyed extensively. More than half of the book is devoted to buildings at various levels of generality, including a detailed and original introduction to the subject, a broad study of characterizations in terms of points and lines, applications to algebraic groups, extensions to topological geometry, a survey of results on diagram geometries and nearby generalizations such as matroids.
(source: Nielsen Book Data)9780444883551 20160528
SAL3 (off-campus storage)
Book
viii, 239 p. : ill. ; 26 cm.
  • Remarks on numerically positive and big line bundles-- order-sequences and rational curves-- classification of smooth congruences with a fundamental curve-- on a result of Zak-L'vosky-- trisecant formulas for smooth projective varieties-- derived triangles and differential systems-- computing gaps sequences at Gorenstein singularities-- on the Weierstrass weights at Gorenstein singularities-- Weierstrass Loci and generalizations-- a problem of trigonality for some Fano varieties-- families of singular meromorphic foliations-- on stable sheaves on algebraic surfaces-- cohomology of generic rank 2 stable bundles on Fano 3-folds of index 2-- linear series of low degree on plane curves and the Castelnuovo function-- rational curves on Calabi-Yau manifolds - verifying prediction of mirror symmetry. (Part contents).
  • (source: Nielsen Book Data)9780824792787 20160527
This work presents original, refereed papers that explore current topics in projective geometry, revealing a locus of mathematical techniques and approaches applicable to and informed by algebraic geometry, complex analysis, commutative algebra and number theory. Diverse subjects such as adjunction theory, Fano manifolds, applications of Mori theory, and subvarieties of Grassmannians, are covered.
(source: Nielsen Book Data)9780824792787 20160527
SAL3 (off-campus storage)
Book
ix, 185 p. 1 ill. 20cm.
Media & Microtext Center
Book
vi, 220 p. : ill. ; 24 cm.
SAL3 (off-campus storage)
Book
xii,162 p. illus. 24cm.
Science Library (Li and Ma)
Book
292 p. illus., ports. 27 cm.
SAL3 (off-campus storage)
Book
xii, 556 p. illus. 23 cm.
SAL3 (off-campus storage)
Book
viii, 149 p. illus. 24 cm.
SAL3 (off-campus storage)
Book
xi, 297 p. illus. 24 cm.
SAL3 (off-campus storage)
Book
76 p. ; 22 cm.
SAL3 (off-campus storage)
Book
xvii, 156 p. illus. 22 cm.
SAL3 (off-campus storage)

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