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 #  AuthorTitleAccn#YearItem Type Claims
1 David M. Clark Euclidean geometry: A Guided Inquiry Approach 026071 2012 Book  
2 Roger A. Johnson Advanced euclidean geometry 026028 1960 Book  
3 Andrew N. Pressley Elementary differential geometry 024756 2010 Book  
4 David C. Kay College geometry: A unified development 024072 2012 Book  
5 VEBLEN, OSWALD Invariants of quadratic differential forms 019807 1927 Book  
6 Marvin Jay Greenberg Euclidean and non-Euclidean geometries: Development and history 009896 1993 Book  
7 Patrick J. Ryan Euclidean and non-euclidean geometry 002585 1986 Book  
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TitleEuclidean geometry: A Guided Inquiry Approach
Author(s)David M. Clark
PublicationProvidence, Mathematical Society of America, 2012.
Descriptionxxiv,127p.
Series(MSRI Mathematial Circles Library)
Abstract NoteGeometry has been an essential element in the study of mathematics since antiquity. Traditionally, we have also learned formal reasoning by studying Euclidean geometry. In this book, David Clark develops a modern axiomatic approach to this ancient subject, both in content and presentation. Mathematically, Clark has chosen a new set of axioms that draw on a modern understanding of set theory and logic, the real number continuum and measure theory, none of which were available in Euclid's time. The result is a development of the standard content of Euclidean geometry with the mathematical precision of Hilbert's foundations of geometry. In particular, the book covers all the topics listed in the Common Core State Standards for high school synthetic geometry. The presentation uses a guided inquiry, active learning pedagogy. Students benefit from the axiomatic development because they themselves solve the problems and prove the theorems with the instructor serving as a guide and mentor. Students are thereby empowered with the knowledge that they can solve problems on their own without reference to authority. This book, written for an undergraduate axiomatic geometry course, is particularly well suited for future secondary school teachers.
ISBN,Price9781470425920 : Rs. 780.00(PB)
Classification512.12
Keyword(s)1. EUCLIDEAN GEOMETRY 2. GEOMETRY
Item TypeBook

Circulation Data
Accession#  Call#StatusIssued ToReturn Due On Physical Location
026071   512.12/CLA/026071  On Shelf    

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TitleAdvanced euclidean geometry
Author(s)Roger A. Johnson
PublicationMineola, Dover Publications, Inc., 1960.
Descriptionxiii, 319p.
Abstract NoteFor many years, this elementary treatise on advanced Euclidean geometry has been the standard textbook in this area of classical mathematics; no other book has covered the subject quite as well. It explores the geometry of the triangle and the circle, concentrating on extensions of Euclidean theory, and examining in detail many relatively recent theorems. Several hundred theorems and corollaries are formulated and proved completely; numerous others remain unproved, to be used by students as exercises. The author makes liberal use of circular inversion, the theory of pole and polar, and many other modern and powerful geometrical tools throughout the book. In particular, the method of "directed angles" offers not only a powerful method of proof but also furnishes the shortest and most elegant form of statement for several common theorems. This accessible text requires no more extensive preparation than high school geometry and trigonometry. - See more at: http://store.doverpublications.com/0486462374.html#sthash.XgrXaag0.dpuf
ISBN,Price9780486462370 : US $17.55(PB)
Classification514.12
Keyword(s)1. CIRCULAR INVERSION 2. EUCLIDEAN GEOMETRY 3. GEOMETRY
Item TypeBook

Circulation Data
Accession#  Call#StatusIssued ToReturn Due On Physical Location
026028   514.12/JOH/026028  On Shelf    

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TitleElementary differential geometry
Author(s)Andrew N. Pressley
Edition2nd. ed.
PublicationLondon, Springer-Verlag, 2010.
Descriptionxi, 395p.
Abstract NoteElementary Differential Geometry presents the main results in the differential geometry of curves and surfaces suitable for a first course on the subject. Prerequisites are kept to an absolute minimum – nothing beyond first courses in linear algebra and multivariable calculus – and the most direct and straightforward approach is used throughout.
ISBN,Price9781848828919 : Euro 34.95(PB)
Classification514.7
Keyword(s)1. CURVES 2. DIFFERENTIAL GEOMETRY 3. EUCLIDEAN GEOMETRY 4. GEOMETRY
Item TypeBook

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Accession#  Call#StatusIssued ToReturn Due On Physical Location
024756   514.7/PRE/024756  On Shelf    

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TitleCollege geometry: A unified development
Author(s)David C. Kay
PublicationBoca Raton, CRC Press, 2012.
Descriptionxv, 636p.
Series(Textbooks in Mathematics )
Abstract NoteDesigned for mathematics majors and other students who intend to teach mathematics at the secondary school level, College Geometry: A Unified Development unifies the three classical geometries within an axiomatic framework. The author develops the axioms to include Euclidean, elliptic, and hyperbolic geometry, showing how geometry has real and far-reaching implications. He approaches every topic as a fresh, new concept and carefully defines and explains geometric principles. The book begins with elementary ideas about points, lines, and distance, gradually introducing more advanced concepts such as congruent triangles and geometric inequalities. At the core of the text, the author simultaneously develops the classical formulas for spherical and hyperbolic geometry within the axiomatic framework. He explains how the trigonometry of the right triangle, including the Pythagorean theorem, is developed for classical non-Euclidean geometries. Previously accessible only to advanced or graduate students, this material is presented at an elementary level. The book also explores other important concepts of modern geometry, including affine transformations and circular inversion. Through clear explanations and numerous examples and problems, this text shows step-by-step how fundamental geometric ideas are connected to advanced geometry. It represents the first step toward future study of Riemannian geometry, Einstein’s relativity, and theories of cosmology.
ISBN,Price9781439819111 : UKP 57.99(HB)
Classification514.1
Keyword(s)1. EBOOK 2. EBOOK - TAYLOR AND FRANCIS 3. ELLIPTIC GEOMETRY 4. EUCLIDEAN GEOMETRY 5. GEOMETRY 6. HYPERBOLIC GEOMETRY
Item TypeBook
Multi-Media Links
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Circulation Data
Accession#  Call#StatusIssued ToReturn Due On Physical Location
024072   514.1/KAY/024072  On Shelf    
OB1340   514.1/KAY/  On Shelf    

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TitleInvariants of quadratic differential forms
Author(s)Oswald Veblen
PublicationCambridge, Cambridge University Press, 1927.
Descriptionviii, 102p.
ISBN,PriceUS $ 27.50
Classification511.342
Keyword(s)1. DIFFERENTIAL INVARIANTS 2. EQUIVALANCE PROBLEM 3. EUCLIDEAN GEOMETRY 4. QUADRATIC DIFFERENTIAL FORMS
Item TypeBook

Circulation Data
Accession#  Call#StatusIssued ToReturn Due On Physical Location
019807   511.342 VEB/019807  On Shelf    

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TitleEuclidean and non-Euclidean geometries: Development and history
Author(s)Marvin Jay Greenberg
Edition3rd ed.
PublicationNew York, W.H. Freeman and Co., 1993.
Descriptionxvi,483pp.
Classification514.12(091)
Keyword(s)1. EUCLIDEAN GEOMETRY 2. HISTORY OF GEOMETRY 3. HISTORY OF MATHEMATICS 4. NON-EUCLIDEAN GEOMETRY
Item TypeBook

Circulation Data
Accession#  Call#StatusIssued ToReturn Due On Physical Location
009896   514.12(091)/GRE/009896  On Shelf    

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TitleEuclidean and non-euclidean geometry
Author(s)Patrick J. Ryan
PublicationCambridge, Cambridge University Press, 1986.
Descriptionxvii,215p.
Classification514.12
Keyword(s)1. EUCLIDEAN GEOMETRY 2. NON-EUCLIDEAN GEOMETRY 3. PLANE GEOMETRY
Item TypeBook

Circulation Data
Accession#  Call#StatusIssued ToReturn Due On Physical Location
002585   514.12/RYAN/002585  On Shelf    
002889   514.12/RYAN/002889  On Shelf    

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