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# 
Author  Title  Accn#  Year  Item Type  Claims 
71 
Baylis, William E 
Clifford (Geometric) Algebras 
I00345 
1996 
eBook 

72 
Cahen, M 
Differential Geometry and Relativity 
I00155 
1976 
eBook 

73 
Willi Hans Steeb 
Problems and solutions in differential geometry, lie series, differential forms, relativity and applications 
026254 
2018 
Book 

74 
Jack Avrin 
Knots, braids, and mobius stripe: Particle Physics and the Geometry of Elementarity: An Alternative View 
025989 
2015 
Book 

75 
Andrew N. Pressley 
Elementary differential geometry 
024756 
2010 
Book 

76 
Peter Li 
Geometric analysis 
024461 
2012 
Book 

77 
Sunil Mukhi 
Lectures on advanced mathematical methods for physicists 
024428 
2010 
Book 

78 
Fecko Marian 
Differential geometry and lie groups for physicists 
023801 
2001 
Book 

79 
Bennett Chow 
Hamilton's ricci flow 
023544 
2006 
Book 

80 
Christian Bar 
Elementary differential geometry 
023082 
2010 
Book 


71.


Title  Clifford (Geometric) Algebras : with applications to physics, mathematics, and engineering 
Author(s)  Baylis, William E 
Publication  Boston, MA, 1. Birkh??user Boston
2. Imprint: Birkh??user, 1996. 
Description  XVIII, 517 p : online resource 
Abstract Note  This volume is an outgrowth of the 1995 Summer School on Theoretical Physics of the Canadian Association of Physicists (CAP), held in Banff, Alberta, in the Canadian Rockies, from July 30 to August 12,1995. The chapters, based on lectures given at the School, are designed to be tutorial in nature, and many include exercises to assist the learning process. Most lecturers gave three or four fiftyminute lectures aimed at relative novices in the field. More emphasis is therefore placed on pedagogy and establishing comprehension than on erudition and superior scholarship. Of course, new and exciting results are presented in applications of Clifford algebras, but in a coherent and userfriendly way to the nonspecialist. The subject area of the volume is Clifford algebra and its applications. Through the geometric language of the Cliffordalgebra approach, many concepts in physics are clarified, united, and extended in new and sometimes surprising directions. In particular, the approach eliminates the formal gaps that traditionally separate clas?? sical, quantum, and relativistic physics. It thereby makes the study of physics more efficient and the research more penetrating, and it suggests resolutions to a major physics problem of the twentieth century, namely how to unite quantum theory and gravity. The term "geometric algebra" was used by Clifford himself, and David Hestenes has suggested its use in order to emphasize its wide applicability, and b& cause the developments by Clifford were themselves based heavily on previous work by Grassmann, Hamilton, Rodrigues, Gauss, and others 
ISBN,Price  9781461241041 
Keyword(s)  1. ALGEBRA
2. DIFFERENTIAL GEOMETRY
3. EBOOK
4. EBOOK  SPRINGER
5. Mathematical Methods in Physics
6. PHYSICS
7. Physics, general

Item Type  eBook 
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Call#  Status  Issued To  Return Due On  Physical Location 
I00345 


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72.


Title  Differential Geometry and Relativity : A Volume in Honour of Andr?? Lichnerowicz on His 60th Birthday 
Author(s)  Cahen, M;Flato, M 
Publication  Dordrecht, Springer Netherlands, 1976. 
Description  320 p : online resource 
Abstract Note  On the occasion of the sixtieth birthday of Andre Lichnerowicz a number of his friends, many of whom have been his students or coworkers, decided to celebrate this event by preparing a jubilee volume of contributed articles in the two main fields of research marked by Lichnerowicz's work, namely differential geometry and mathematical physics. Limitations of space and time did not enable us to include papers from all Lichnerowicz's friends nor from all his former students. It was equally impossible to reflect in a single book the great variety of subjects tackled by Lichnerowicz. In spite of these limitations, we hope that this book reflects some of the present trends of fields in which he worked, and some of the subjects to which he contributed in his long  and not yet finished  career. This career was very much marked by the influence of his masters, Elie Cartan who introduced him to research in mathematics, mainly in geometry and its relations with mathematical physics, and Georges Darmois who developed his interest for mechanics and physics, especially the theory of relativity and electromagnetism. This par?? ticular combination, and his personal talent, made of him a natural scientific heir and continuator of the French mathematical physics school in the tradition of Henri Poincare. Some of his works would even be best qualified by a new field name, that of physical ma?? thematics: branches of pure mathematics entirely motivated by physics 
ISBN,Price  9789401015080 
Keyword(s)  1. DIFFERENTIAL GEOMETRY
2. EBOOK
3. EBOOK  SPRINGER
4. MATHEMATICAL PHYSICS
5. Theoretical, Mathematical and Computational Physics

Item Type  eBook 
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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I00155 


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74.


Title  Knots, braids, and mobius stripe: Particle Physics and the Geometry of Elementarity: An Alternative View 
Author(s)  Jack Avrin 
Publication  New Jersey, World Scientific Publishing Co. Pvt. Ltd., 2015. 
Description  xx, 332p. 
Series  (Series on Knots and Everything) 
Abstract Note  Elementary particles in this book exist as Solitons inandof 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,Price  9789814616003 : US $98.00(HB) 
Classification  514:539.12

Keyword(s)  1. ALGEBRIC GEOMETRY
2. DIFFERENTIAL GEOMETRY
3. EBOOK
4. EBOOK  WORLD SCIENTIFIC
5. GEOMETRY
6. PARTICLE PHYSICS
7. TOPOLOGY

Item Type  Book 
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Call#  Status  Issued To  Return Due On  Physical Location 
025989 

514:539.12/AVR/025989 
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OB1229 

514:539.12/AVR/ 
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78.


Title  Differential geometry and lie groups for physicists 
Author(s)  Fecko Marian 
Publication  Cambridge, Cambridge University Press, 2001. 
Description  xv, 697p. 
Abstract Note  This textbook gives an introduction to geometrical topics useful in theoretical physics and applied mathematics, covering: manifolds, tensor fields, differential forms, connections, symplectic geometry, actions of Lie groups, bundles, spinors, and so on. Written in an informal style, the author places a strong emphasis on developing the understanding of the general theory through more than 1000 simple exercises, with complete solutions or detailed hints. The book will prepare readers for studying modern treatments of Lagrangian and Hamiltonian mechanics, electromagnetism, gauge fields, relativity and gravitation. Differential Geometry and Lie Groups for Physicists is well suited for courses in physics, mathematics and engineering for advanced undergraduate or graduate students, and can also be used for active selfstudy. The required mathematical background knowledge does not go beyond the level of standard introductory undergraduate mathematics courses.

ISBN,Price  9780511755590 : UKP 38.00(PB) 
Classification  514.747:53

Keyword(s)  1. DIFFERENTIAL FORMS
2. DIFFERENTIAL GEOMETRY
3. LIE GROUPS
4. MANIFOLDS
5. SPINORS
6. SYMPLECTIC GEOMETRY
7. TENSOR FIELDS

Item Type  Book 
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Call#  Status  Issued To  Return Due On  Physical Location 
023801 

514.747:53/FEC/023801 
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79.


Title  Hamilton's ricci flow 
Author(s)  Bennett Chow;Peng Li;Lei Ni 
Publication  Providence, Rhode Island , American Mathematical Society, 2006. 
Description  xxxvi, 608p. 
Series  (Graduate studies in mathematics) 
Abstract Note  Ricci flow is a powerful analytic method for studying the geometry and topology of manifolds. This book is an introduction to Ricci flow for graduate students and mathematicians interested in working in the subject. To this end, the first chapter is a review of the relevant basics of Riemannian geometry. For the benefit of the student, the text includes a number of exercises of varying difficulty. The book also provides brief introductions to some general methods of geometric analysis and other geometric flows. Comparisons are made between the Ricci flow and the linear heat equation, mean curvature flow, and other geometric evolution equations whenever possible. Several topics of Hamilton's program are covered, such as short time existence, Harnack inequalities, Ricci solitons, Perelman's no local collapsing theorem, singularity analysis, and ancient solutions. A major direction in Ricci flow, via Hamilton's and Perelman's works, is the use of Ricci flow as an approach to solving the Poincare conjecture and Thurston's geometrization conjecture. 
ISBN,Price  9780821852217 : Rs. 1195.00(PB) 
Classification  514.7

Keyword(s)  1. DIFFERENTIAL GEOMETRY
2. RICCI FLOW
3. RIEMANNIAN MANIFOLDS

Item Type  Book 
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Call#  Status  Issued To  Return Due On  Physical Location 
023544 

514.7/CHO/023544 
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80.
 
Title  Elementary differential geometry 
Author(s)  Christian Bar 
Publication  Cambridge, Cambridge University Press, 2010. 
Description  xii, 317p. 
Abstract Note  The link between the physical world and its visualization is geometry. This easytoread, generously illustrated textbook presents an elementary introduction to differential geometry with emphasis on geometric results. Avoiding formalism as much as possible, the author harnesses basic mathematical skills in analysis and linear algebra to solve interesting geometric problems, which prepare students for more advanced study in mathematics and other scientific fields such as physics and computer science. The wide range of topics includes curve theory, a detailed study of surfaces, curvature, variation of area and minimal surfaces, geodesics, spherical and hyperbolic geometry, the divergence theorem, triangulations, and the GaussâBonnet theorem. The section on cartography demonstrates the concrete importance of elementary differential geometry in applications. Clearly developed arguments and proofs, colour illustrations, and over 100 exercises and solutions make this book ideal for courses and selfstudy.
The only prerequisites are one year of undergraduate calculus and linear algebra. 
ISBN,Price  9780521721493 : UKP 27.99(PB) 
Classification  514.7

Keyword(s)  1. CURVE THEORY
2. DIFFERENTIAL GEOMETRY
3. GEOMETRY
4. SURFACE THEORY

Item Type  Book 
Circulation Data
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Call#  Status  Issued To  Return Due On  Physical Location 
023082 

514.7/BAR/023082 
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