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Invitations to Geometry and Topology
Martin R. Bridson
0198507720
Jan 2003
Hardcover
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Book Description
This volume presents an array of topics that introduce the reader to key ideas in active areas in geometry and topology. The material is presented in a way that both graduate students and researchers should find accessible and enticing. The topics covered range from Morse theory and complex
geometry theory to geometric group theory, and are accompanied by exercises that are designed to deepen the reader's understanding and to guide them in exciting directions for future investigation.

Book Info
Presents an array of topics that introduce the reader to key ideas in active areas in geometry and topology. The material is presented in a way that both graduate students and researchers should find accessible and enticing.


The Colours of Infinity: The Beauty, the Power and the Sense of Fractals
Nigel Lesmoir-Gordon (Editor)
1904555055
July 2004
Paperback
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Book Description
The world's founders and leaders of Fractal Geometry describe how the science has developed in the ten years since the making of the ground-breaking TV documentary.

About the Author
Nigel Lesmoir-Gordon has published poems and short stories in the UK, the US, and France. He formed his first film production company in 1976, and worked for Donovan, Pink Floyd, 10cc, Joe Cocker, Wings, and Leo Sayer. Gordon Films UK was formed in 1995 to produce the award-winning television documentary "The Colours of Infinity". His first book was "Introducing Fractal Geometry".


Differential Geometry and Topology
A. T. Fomenko
0306109956
May 1987
Hardcover
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Language Notes
Text: English, Russian (translation)


Geometry and Topology
Miles Reid
0521613256
October 2005
Paperback
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Book Description
Geometry is central to many branches of mathematics and physics, and offers a complete range of views on the universe. This volume is an introduction to the ideas and includes many simple explanations and examples. Prerequisites are minimal, so it is ideally suited to beginning courses in, and newcomers to, the subject. It places special emphasis on coordinate systems and the coordinate changes that generate symmetries. The book is based on many years of teaching experience so is thoroughly class-tested. There are many illustrations and chapters end with a collection of exercises, solutions to which are available for teachers.

Download Description
Geometry provides a whole range of views on the universe, serving as the inspiration, technical toolkit and ultimate goal...


From Chemical Topology to Three-Dimensional Geometry
Alexandru T. Balaban
0306454629
Jan 1997
Hardcover
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Book Description
Even high-speed supercomputers cannot easily convert traditional two-dimensional databases from chemical topology into the three-dimensional ones demanded by today's chemists, particularly those working in drug design. This fascinating volume resolves this problem by positing mathematical and topological models which greatly expand the capabilities of chemical graph theory. The authors examine QSAR and molecular similarity studies, the relationship between the sequence of amino acids and the less familiar secondary and tertiary protein structures, and new topological methods.


Geometry and Topology
Miles Reid
052184889X
November 2005
Hardcover
·
 
Book Description
Geometry is central to many branches of mathematics and physics, and offers a complete range of views on the universe. This volume is an introduction to the ideas and includes many simple explanations and examples. Prerequisites are minimal, so it is ideally suited to beginning courses in, and newcomers to, the subject. It places special emphasis on coordinate systems and the coordinate changes that generate symmetries. The book is based on many years of teaching experience so is thoroughly class-tested. There are many illustrations and chapters end with a collection of exercises, solutions to which are available for teachers.

Download Description
Geometry provides a whole range of views on the universe, serving as the inspiration, technical toolkit and ultimate goal...


Visual Geometry and Topology
Anatolij Fomenko
0387533613
Feb 1994
Hardcover
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Language Notes
Text: English (translation)
Original Language: Russian --This text refers to an out of print or unavailable edition of this title.


Semi-Riemannian Geometry: With Applications to Relativity
Barrett O'Neill
0125267401
June 1983
Textbook Hardcover
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Book Description
This book is an exposition of semi-Riemannian geometry (also called pseudo-Riemannian geometry)--the study of a smooth manifold furnished with a metric tensor of arbitrary signature. The principal special cases are Riemannian geometry, where the metric is positive definite, and Lorentz geometry. For many years these two geometries have developed almost independently: Riemannian geometry reformulated in coordinate-free fashion and directed toward global problems, Lorentz geometry in classical tensor notation devoted to general relativity. More recently, this divergence has been reversed as physicists, turning increasingly toward invariant methods, have produced results of compelling mathematical interest.

About the Author
Barrett O'Neill is currently a Professor in the...


Lecture Notes on Elementary Topology and Geometry
I. M. Singer
0387902023
May 1996
Hardcover
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Book Description
At the present time, the average undergraduate mathematics major finds mathematics heavily compartmentalized. After Calculus, students take courses in analysis and algebra, and depending on their interest, they take courses in special topics. If the student is exposed to topology, it is usually straightforward point set topology; if the student is exposed to geometry, it is usually classical differential geometry. These notes are an attempt to break up this compartmentalization, at least in topology-geometry. What the student has learned in algebra and advanced calculus are used to prove some fairly deep results relating geometry, topology and group theory. The material studied includes De Rhams's theorem, the Gauss-Bonnet theorem for surfaces, the functional relation of fundamental group to covering space, and...


Differential Geometry of Curves and Surfaces
Manfredo P. do Carmo
0132125897
February 1976
Textbook Hardcover
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Language Notes
Text: English, Portugese (translation)

The publisher, Prentice-Hall Engineering/Science/Mathematics
This volume covers local as well as global differential geometry of curves and surfaces.


Topology, Geometry and Gauge Fields
Greg Naber
0387949461
Apr 1997
Hardcover
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Book Description
This is a book on topology and geometry and, like any books on subjects as vast as these, it has a point-of-view that guided the selection of topics. Naber takes the view that the rekindled interest that mathematics and physics have shown in each other of late should be fostered and that this is best accomplished by allowing them to cohabit. The book weaves together rudimentary notions from the classical gauge theory of physics with the topological and geometrical concepts that became the mathemtical models of these notions. We ask the reader to come to us with some vague notion of what an electromagnetic field might be, a willingness to accept a few of the more elementary pronouncements of quantum mechanics, a solid background in real analysis and linear algebra and some of the vocabulary of modern algebra. To such a...


Geometry and Topology
G. Stratopoulos (Editor)
9971506785
March 1989
Hardcover
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Modern Geometry. Methods and Applications
S. P. Novikov
0387961623
Aug 1985
Hardcover
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Language Notes
Text: English (translation)
Original Language: Russian --This text refers to an out of print or unavailable edition of this title.


Geometry, Topology, and Dynamics
Francois Lalonde (Editor)
082180877X
April 1998
Paperback
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Book Description
This volume contains the proceedings from the workshop on "Geometry, Topology and Dynamics" held at CRM at the University of Montreal. The event took place at a crucial time with respect to symplectic developments. During the previous year, Seiberg and Witten had just introduced the famous gauge equations. Taubes then extracted new invariants that were shown to be equivalent in some sense to a particular form of Gromov invariants for symplectic manifolds in dimension 4. With Gromov's deformation theory, this constitutes an important advance in symplectic geometry by furnishing existence criteria. Meanwhile, contact geometry was rapidly developing. Using both holomorphic arguments in symplectizations of contact manifolds and ad hoc topological arguments---or even gauge theoretic methods---several results...


Topology and Geometry
Glen E. Bredon
0387979263
Jan 1993
Hardcover
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Book Description
This book is intended as a textbook for a first-year graduate course on algebraic topology, with as strong flavoring in smooth manifold theory. Starting with general topology, it discusses differentiable manifolds, cohomology, products and duality, the fundamental group, homology theory, and homotopy theory. It covers most of the topics all topologists will want students to see, including surfaces, Lie groups and fibre bundle theory. With a thoroughly modern point of view, it is the first truly new textbook in topology since Spanier, almost 25 years ago. Although the book is comprehensive, there is no attempt made to present the material in excessive generality, except where generality improves the efficiency and clarity of the presentation.


Geometry, Topology and Physics
M. Nakahara
0750306068
June 2003
Paperback
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Australian and New Zealand Physicist
"a very impressive book" --This text refers to the Paperback edition.

Zentralblatt fur Mathematik und ihre Grenzgebiete
"The clarity of the presentation is enhanced by explicit calculations and diagrams; the proof of a theorem is given only when it is instructive and not very technical. There is also a large number of exercises and problems and, last but not least, an index...superb layout." --This text refers to the Paperback edition.

See all Editorial Reviews


Topology and Geometry in Polymer Science
Stuart G. Whittington
0387985808
Aug 1998
Hardcover
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Book Description
This book contains contributions from a workshop on topology and geometry of polymers, held at the IMA in June 1996, which brought together topologists, combinatorialists, theoretical physicists and polymer scientists, with a common interest in polymer topology. Polymers can be highly self-entangled even in dilute solution. In the melt the inter- and intra-chain entanglements can dominate the rheological properties of these phenomena. Although the possibility of knotting in ring polymers has been recognized for more than thirty years it is only recently that the powerful methods of algebraic topology have been used in treating models of polymers. This book contains a series of chapters which review the current state of the field and give an up to date account of what is known and perhaps more importantly, what is still...


Topology
John G. Hocking
0486656764
June 1988
Paperback
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Book Description
Superb one-year course in classical topology. Topological spaces and functions, point-set topology, much more. Examples and problems. Bibliography. Index.


Schaum's Outline of Differential Geometry
Martin M. Lipschutz
0070379858
June 1969
Paperback
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Book Description
Students will find all the information covered in the standard textbooks--and more--explained clearly and concisely in this powerful study tool. Unusually detailed, it elucidates all the most difficult-to-grasp concepts that class studies and texts sometimes gloss over. The hundreds of problems with fully explained solutions illuminate important points and teach students sound problem-solving skills. Ideal, also, for independent study.


Topology, Geometry, and Gauge Fields
Greg Naber
0387989471
Jan 2000
Hardcover
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Book Description
This book covers topology and geometry beginning with an accessible account of the extraordinary and rather mysterious impact of mathematical physics, especially gauge theory, on the study of the geometry and topology of manifolds. Much of the mathematics developed in the book to study the classical field theories of physics (de Rham cohomology, Chern classes, Semi-Riemannian manifolds, Cech cohomology, spinors etc.) is standard, but the treatment always keeps one eye on the physics and unhesitatingly sacrifices generality to clarity. The author brings the reader up to the level needed to conclude with a brief discussion of the Seiberg-Witten invariants. Although this volume can be read independently Naber carries on the program initiated in his earlier volume, Topology, Geometry and Gauge Fields: Foundations,...

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