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 #  AuthorTitleAccn#YearItem Type Claims
41 Debrus, Joachim Geometry and Theoretical Physics I00029 1991 eBook  
42 David M. Clark Euclidean geometry: A Guided Inquiry Approach 026071 2012 Book  
43 Roger A. Johnson Advanced euclidean geometry 026028 1960 Book  
44 Bruce E. Meserve Fundamental concepts of geometry 026040 1955 Book  
45 Jack Avrin Knots, braids, and mobius stripe: Particle Physics and the Geometry of Elementarity: An Alternative View 025989 2015 Book  
46 H. S. M. Coxeter Beauty of geometry: Twelve Essays 025993 1968 Book  
47 Tom M. Apostol New horizons in geometry 026002 2012 Book  
48 Bertrand A. W. Russell Essay on the foundations of geometry 024724 1897 Book  
49 Andrew N. Pressley Elementary differential geometry 024756 2010 Book  
50 Pankaj Sharan Spacetime, geometry and gravitation 024423 2009 Book  
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41.    
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TitleGeometry and Theoretical Physics
Author(s)Debrus, Joachim;Hirshfeld, Allen C
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1991.
DescriptionX, 323 p : online resource
Abstract NoteThe interaction between geometry and theoretical physics has often been very fruitful. A highlight in this century was Einstein's creation of the theory of general relativity. Equally impressive was the recognition, starting from the work of Yang and Mills and culminating in the Weinberg-Salam theory of the electroweak interaction and quantum chromodynamics, that the fundamental interactions of elementary particles are governed by gauge fields, which in ma?? thematical terms are connections in principal fibre bundles. Theoretical physi?? cists became increasingly aware of the fact that the use of modern mathematical methods may be necessary in the treatment of problems of physical interest. Since some of these topics are covered at most summarily in the usual curricu?? lum, there is a need for extra-curricular efforts to provide an opportunity for learning these techniques and their physical applications. In this context we arranged a meeting at the Physikzentrum Bad Ronnef 12-16 February 1990 on the subject "Geometry and Theoretical Physics", in the series of physics schools organized by the German Physical Society. The participants were graduate students from German universities and research institutes. Since the meeting occurred only a short time after freedom of travel between East and West Germany became a reality, this was for many from the East the first opportunity to attend a scientific meeting in the West, and for many from the West the first chance to become personally acquainted with colleagues from the East
ISBN,Price9783642763533
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. GEOMETRY 4. MATHEMATICAL PHYSICS 5. Theoretical, Mathematical and Computational Physics
Item TypeeBook
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I00029     On Shelf    

42.     
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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

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026071   512.12/CLA/026071  On Shelf    

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43.     
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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

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026028   514.12/JOH/026028  On Shelf    

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44.     
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TitleFundamental concepts of geometry
Author(s)Bruce E. Meserve
PublicationNew York, Dover Publications, Inc., 1955.
Descriptionviii, 321p.
Abstract NoteFundamental Concepts of Geometry demonstrates in a clear and lucid manner the relationships of several types of geometry to one another. This highly regarded work is a superior teaching text, especially valuable in teacher preparation, as well as providing an excellent overview of the foundations and historical evolution of geometrical concepts. Professor Meserve (University of Vermont) offers students and prospective teachers the broad mathematical perspective gained from an elementary treatment of the fundamental concepts of mathematics. The clearly presented text is written on an undergraduate (or advanced secondary-school) level and includes numerous exercises and a brief bibliography. An indispensable taddition to any math library, this helpful guide will enable the reader to discover the relationships among Euclidean plane geometry and other geometries; obtain a practical understanding of "proof"; view geometry as a logical system based on postulates and undefined elements; and appreciate the historical evolution of geometric concepts.
ISBN,Price9780486634159 : US $14.95(PB)
Classification514.01
Keyword(s)1. EVOLUTION OF GEOMETRY 2. GEOMETRY
Item TypeBook

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026040   514.01/MES/026040  On Shelf    

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45.     
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TitleKnots, braids, and mobius stripe: Particle Physics and the Geometry of Elementarity: An Alternative View
Author(s)Jack Avrin
PublicationNew Jersey, World Scientific Publishing Co. Pvt. Ltd., 2015.
Descriptionxx, 332p.
Series(Series on Knots and Everything)
Abstract NoteElementary particles in this book exist as Solitons in-and-of the fabric of spacetime itself. As such they are characterized by their geometry, that is their topology and configuration which lead directly to their physical attributes and behavior as well as to a simplification and reduction of assumptions and the importation of parameter values. The emphasis of the book is thus on that geometry, the algebraic geometry associated with taxonomical issues and the differential geometry that determines the physics as well as on simplifying the results. In itself, however, the process of assembling and developing what eventually went into the book has been a singularly rewarding journey. Along the way some fascinating insights and connections to known physical attributes and theories emerge, some predictable but others unbidden and even unanticipated. The book is intended to summarize that journey in a way that, readers with a range of backgrounds will find interesting and provocative. Connections to other physical theories and subjects are also discussed. A most gratifying development is the emergence of a unifying principle underlying the epistemological structure of not only the elementary particles but of such diverse fields as Radar, Quantum mechanics, Biology, Cosmology and the Philosophy of science.
ISBN,Price9789814616003 : US $98.00(HB)
Classification514:539.12
Keyword(s)1. ALGEBRIC GEOMETRY 2. DIFFERENTIAL GEOMETRY 3. EBOOK 4. EBOOK - WORLD SCIENTIFIC 5. GEOMETRY 6. PARTICLE PHYSICS 7. TOPOLOGY
Item TypeBook
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025989   514:539.12/AVR/025989  On Shelf    
OB1229   514:539.12/AVR/  On Shelf    

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46.     
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TitleBeauty of geometry: Twelve Essays
Author(s)H. S. M. Coxeter
PublicationNew York, Dover Publications, Inc., 1968.
Descriptionx, 274p.
Abstract NoteWritten by a distinguished mathematician, the dozen absorbing essays in this versatile volume offer both supplementary classroom material and pleasurable reading for the mathematically inclined. The essays promise to encourage readers in the further study of elementary geometry, not just for its own sake, but also for its broader applications, which receive a full and engaging treatment. Beginning with an analytic approach, the author reviews the functions of Schlafli and Lobatschefsky and discusses number theory in a dissertation on integral Cayley numbers. A detailed examination of group theory includes discussion of Wythoff's construction for uniform polytopes, as well as a chapter on regular skew polyhedra in three and four dimensions and their topological analogues. A profile of self-dual configurations and regular graphs introduces elements of graph theory, followed up with a chapter on twelve points in PG (5, 3) with 95040 self-transformations. Discussion of an upper bound for the number of equal nonoverlapping spheres that can touch another same-sized sphere develops aspects of communication theory, while relativity theory is explored in a chapter on reflected light signals. - See more at: http://store.doverpublications.com/0486409198.html#sthash.U0Jy5hZo.dpuf
ISBN,Price9780486409191 : US $14.95(PB)
Classification514.01
Keyword(s)1. GEOMETRY 2. GRAPH THEORY 3. GROUP THEORY 4. INTERGRAL CAYLEY NUMBERS
Item TypeBook

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025993   514.01/COX/025993  On Shelf    

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47.     
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TitleNew horizons in geometry
Author(s)Tom M. Apostol;Mamikon A. Mnatsakanian
PublicationWashington, Mathematical Association of America, 2012.
Descriptionxiv, 513p.
Series(The Dotciani Mathematical Expositions)
ISBN,Price9780883853542 : UKP 46.00(HB)
Classification514.1
Keyword(s)1. ARCHIMEDEAN GLOBES 2. BALANCING PRINCIPLE 3. CALCULUS 4. CYCLOGONS 5. GEOMETRY 6. TANGENT CLUSTER 7. TANGENT SWEEP 8. The Dotciani Mathematical Expositions; 47
Item TypeBook

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026002   514.1/APO/026002  On Shelf    

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48.     
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TitleEssay on the foundations of geometry
Author(s)Bertrand A. W. Russell
PublicationCambridge, Cambridge University Press, 1897.
Descriptionxvi, 201p.
Abstract NoteThis book was based on the dissertation Russell presented for the Fellowship Examination of Trinity College, Cambridge, together with a series of lectures given in the USA around the same time. It provides an account of geometrical concepts in relation to logic, psychology and mathematics, shedding light on the development of Russell's philosophical perspective. This is a highly readable text that will be of value to anyone with an interest in geometry, philosophy and Russell's early thought.
ISBN,Price9781107679450 : UKP 32.00(PB)
Classification514
Keyword(s)1. GEOMETRY 2. METAGEOMETRY
Item TypeBook
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024724   514/RUS/024724  On Shelf    

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49.     
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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. EBOOK 4. EBOOK - SPRINGER 5. EUCLIDEAN GEOMETRY 6. GEOMETRY
Item TypeBook
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024756   514.7/PRE/024756  On Shelf    
I12016   514.7/PRE/  On Shelf    

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50.    
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TitleSpacetime, geometry and gravitation
Author(s)Pankaj Sharan
PublicationNew Dehli, Hindustan Book Agency, 2009.
Descriptionxiv, 355p.
Series(Texts and monographs in physics)
ISBN,Price9788185931968 : Rs.550.00(HB)
Classification524.834
Keyword(s)1. GEOMETRY 2. GRAVITATION 3. SPACETIME
Item TypeBook

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024423   524.834/SHA/024423  On Shelf    

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