

Click the serial number on the left to view the details of the item. 
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Author  Title  Accn#  Year  Item 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 nonEuclidean geometries: Development and history 
009896 
1993 
Book 

7 
Patrick J. Ryan 
Euclidean and noneuclidean geometry 
002585 
1986 
Book 


1.


Title  Euclidean geometry: A Guided Inquiry Approach 
Author(s)  David M. Clark 
Publication  Providence, Mathematical Society of America, 2012. 
Description  xxiv,127p. 
Series  (MSRI Mathematial Circles Library) 
Abstract Note  Geometry 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,Price  9781470425920 : Rs. 780.00(PB) 
Classification  512.12

Keyword(s)  1. EUCLIDEAN GEOMETRY
2. GEOMETRY

Item Type  Book 
Circulation Data
Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
026071 

512.12/CLA/026071 
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2.


Title  Advanced euclidean geometry 
Author(s)  Roger A. Johnson 
Publication  Mineola, Dover Publications, Inc., 1960. 
Description  xiii, 319p. 
Abstract Note  For 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,Price  9780486462370 : US $17.55(PB) 
Classification  514.12

Keyword(s)  1. CIRCULAR INVERSION
2. EUCLIDEAN GEOMETRY
3. GEOMETRY

Item Type  Book 
Circulation Data
Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
026028 

514.12/JOH/026028 
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4.


Title  College geometry: A unified development 
Author(s)  David C. Kay 
Publication  Boca Raton, CRC Press, 2012. 
Description  xv, 636p. 
Series  (Textbooks in Mathematics ) 
Abstract Note  Designed 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 farreaching 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 nonEuclidean 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 stepbystep how fundamental geometric ideas are connected to advanced geometry. It represents the first step toward future study of Riemannian geometry, Einsteinâs relativity, and theories of cosmology. 
ISBN,Price  9781439819111 : UKP 57.99(HB) 
Classification  514.1

Keyword(s)  1. EBOOK
2. EBOOK  TAYLOR AND FRANCIS
3. ELLIPTIC GEOMETRY
4. EUCLIDEAN GEOMETRY
5. GEOMETRY
6. HYPERBOLIC GEOMETRY

Item Type  Book 
MultiMedia Links
Please Click here for eBook
Circulation Data
Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
024072 

514.1/KAY/024072 
On Shelf 



OB1340 

514.1/KAY/ 
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