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Mathematics


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Mathematics
Differential Geometry


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Featured Titles in Mathematics - Differential Geometry
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The Decomposition of Global Conformal Invariants (Am-182) (Annals of Mathematics Studies)
The Decomposition of Global Conformal Invariants (Am-182) (Annals of Mathematics Studies)
by Spyros Alexakis
Publisher Comments
This book addresses a basic question in differential geometry that was first considered by physicists Stanley Deser and Adam Schwimmer in 1993 in their study of conformal anomalies. The question concerns conformally invariant functionals on the space of... (read more)

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The Decomposition of Global Conformal Invariants (Am-182) (Annals of Mathematics Studies)
The Decomposition of Global Conformal Invariants (Am-182) (Annals of Mathematics Studies)
by Spyros Alexakis
Publisher Comments
This book addresses a basic question in differential geometry that was first considered by physicists Stanley Deser and Adam Schwimmer in 1993 in their study of conformal anomalies. The question concerns conformally invariant functionals on the space of... (read more)

Your price: $74.25
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Elementary Geometry of Differentiable Curves: An Undergraduate Introduction
Elementary Geometry of Differentiable Curves: An Undergraduate Introduction
by Chris Gibson
Publisher Comments
Here is a genuine introduction to the differential geometry of plane curves for undergraduates in mathematics, or postgraduates and researchers in the engineering and physical sciences. This well-illustrated text contains several hundred worked examples... (read more)

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Geometric Integration Theory (Cornerstones)
Geometric Integration Theory (Cornerstones)
by Steven G. Krantz
Publisher Comments
This textbook introduces geometric measure theory through the notion of currents. Currents--continuous linear functionals on spaces of differential forms--are a natural language in which to formulate various types of extremal problems arising in geometry,... (read more)

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Course in Minimal Surfaces
Course in Minimal Surfaces
by Tobias Holck Colding
Publisher Comments
Mathematicians Colding (New York U.) and Minicozzi (Johns Hopkins U.) aspire to start with students who have no more mathematical background than Riemannian geometry and some familiarity with the maximum principle, and to leave them able to comprehend... (read more)

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Geometrical Methods of Mathematical Physics
Geometrical Methods of Mathematical Physics
by Bernard F. Schutz
Publisher Comments
For physicists and applied mathematicians working in the fields of relativity and cosmology, high-energy physics and field theory, thermodynamics, fluid dynamics and mechanics. This book provides an introduction to the concepts and techniques of modern... (read more)

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History of Algebraic & Differential Topology: (1900-1960)
History of Algebraic & Differential Topology: (1900-1960)
by Jean Dieudonne
Publisher Comments
Since the early part of the 20th century, topology has gradually spread to many other branches of mathematics, and this book demonstrates how the subject continues to play a central role in the field. Written by a world-renowned... (read more)

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Space-filling curves
Space-filling curves
by Hans Sagan
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The subject of space-filling curves has generated a great deal of interest in the 100 years since the first such curve was discovered by Peano. Cantor, Hilbert, Moore, Knopp, Lebesgue, and Polya are among the prominent mathematicians who have contributed... (read more)

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Floer Memorial Volume
Floer Memorial Volume
by Helmut Hofer
Publisher Comments
Andreas Floer died on May 15, 1991 an untimely and tragic death. His visions and far-reaching contributions have significantly influenced the developments of mathematics. His main interests centered on the fields of dynamical systems, symplectic geometry,... (read more)

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Geometry Vol. V: Minimal Surfaces
Geometry Vol. V: Minimal Surfaces
by Robert Osserman
Publisher Comments
Osserman (Ed.) Geometry V Minimal Surfaces The theory of minimal surfaces has expanded in many directions over the past decade or two. This volume gathers in one place an overview of some of the most exciting developments, presented by five of the... (read more)

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Structure and Geometry of Lie Groups (Springer Monographs in Mathematics)
Structure and Geometry of Lie Groups (Springer Monographs in Mathematics)
by Joachim Hilgert
Publisher Comments
This self... (read more)

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Global Differential Geometry and Global Analysis 1984
Global Differential Geometry and Global Analysis 1984
by Dirk Ferus
Publisher Comments
All papers appearing in this volume are original research articles and have not been published elsewhere. They meet the requirements that are necessary for publication in a good quality primary journal. E.Belchev, S.Hineva: On the minimal hypersurfaces... (read more)

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Progress in Mathematics #275: Families of Conformally Covariant Differential Operators, Q-Curvature and Holography
Progress in Mathematics #275: Families of Conformally Covariant Differential Operators, Q-Curvature and Holography
by Andreas Juhl
Publisher Comments
The central object of the book is a subtle scalar Riemannian curvature quantity in even dimensions which is called Branson's Q-curvature. It was introduced by Thomas Branson about 15 years ago in connection with an attempt to systematise the structure of... (read more)

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Index Theory for Symplectic Paths with Applications
Index Theory for Symplectic Paths with Applications
by Yiming Long
Publisher Comments
This book gives an introduction to index theory for symplectic matrix paths and its iteration theory, as well as applications to periodic solution problems of nonlinear Hamiltonian systems. The applications of these concepts yield new approaches to some... (read more)

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Geometry Revealed: A Jacob's Ladder to Modern Higher Geometry
Geometry Revealed: A Jacob's Ladder to Modern Higher Geometry
by Marcel Berger
Publisher Comments
Both classical geometry and modern differential geometry have been active subjects of research throughout the 20th century and lie at the heart of many recent advances in mathematics and physics. The underlying motivating concept for the present book is... (read more)

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Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers
Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers
by P. M. Gadea
Publisher Comments
The present book is a collection of completely solved exercises on differentiable manifolds, lie groups, fibre bundles and Riemannian manifolds. The exercises go from elementary computations to rather sophisticated tools. It is the first book of... (read more)

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London Mathematical Society Lecture Note Series #257: An Introduction to Noncommutative Differential Geometry and Its Physical Applications
London Mathematical Society Lecture Note Series #257: An Introduction to Noncommutative Differential Geometry and Its Physical Applications
by J. Madore
Publisher Comments
This book provides an excellent introduction to the more elementary aspects of non-commutative geometry.... (read more)

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Topics in Physical Mathematics
Topics in Physical Mathematics
by Kishore Marathe
Publisher Comments
The roots of 'physical mathematics' can be traced back to the very beginning of man's attempts to understand nature. Indeed, mathematics and physics were part of what was called natural philosophy. Rapid growth of the physical sciences, aided by... (read more)

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Semiparallel Submanifolds in Space Forms
Semiparallel Submanifolds in Space Forms
by Ulo Lumiste
Publisher Comments
This book offers a comprehensive survey to date of the theory of semiparallel submanifolds. Introduced in 1985, semiparallel submanifolds have emerged as an important area of research within differential geometry and topology. The author begins with... (read more)

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Cambridge Tracts in Mathematics #111: Affine Differential Geometry
Cambridge Tracts in Mathematics #111: Affine Differential Geometry
by Katsumi Nomizu
Publisher Comments
Affine differential geometry has undergone a period of revival and rapid progress in the past decade. This book is a self-contained and systematic account of affine differential geometry from a contemporary view. It covers not only the classical theory... (read more)

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