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Click the serial number on the left to view the details of the item. |
| # |
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 non-Euclidean geometries: Development and history |
009896 |
1993 |
Book |
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| 7 |
Patrick J. Ryan |
Euclidean and non-euclidean geometry |
002585 |
1986 |
Book |
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1.
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| 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
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| Item Type | Book |
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| 026071 |
|
512.12/CLA/026071 |
On Shelf |
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+Copy Specific Information |
2.
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| 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 |
On Shelf |
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4.
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| 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 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, 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 |
Multi-Media Links
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Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| 024072 |
|
514.1/KAY/024072 |
On Shelf |
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| OB1340 |
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514.1/KAY/ |
On Shelf |
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