Flavors of Geometry is a collection of lectures on four geometrically-influenced fields of mathematics that have experienced great development in recent years. It presents chapters by masters in their fields on hyperbolic geometry, dynamics in several complex variables, convex geometry, and volume estimation. Each lecture begins with a discussion of elementary concepts, examines the highlights of the field, and concludes with a look at more advanced material. The style and presentation of the chapters are clear and accessible, and many of the lectures are richly illustrated. The book includes bibiliographies and indexes to encourage further reading. It will be an influential resource for graduate students and advanced undergraduates in mathematics.
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' ... a useful introductory textbook to convex geometry.' European Mathematical Society
Book Description
Flavors of Geometry is a volume of lectures on four geometrically influenced fields of mathematics that have experienced great development in recent years. The book presents chapters by well-known researchers on hyperbolic geometry, dynamics in several complex variables, convex geometry, and volume estimation. Each lecture begins with a discussion of elementary concepts, examines the highlights of the field, and concludes with a look at more advanced material. These lectures are an excellent starting place for graduate students and will also interest researchers wanting a "flavor" of new developments in geometry.
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Inside This Book
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First Sentence:
These notes are based, somewhat loosely, on three series of lectures given by myself, J. Lindenstrauss and G. Schechtman, during the Introductory Workshop in Convex Geometry held at the Mathematical Sciences Research Institute in Berkeley, early in 1996. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
maximal ellipsoid, thin triangles condition, polynomial diffeomorphisms, hyperbolic spheres, membership oracle, hyperboloid model, separation oracle, horseshoe map, hyperbolic geodesic, symmetric convex body, heteroclinic points, hyperbolic isometry, hyperbolic isometries, convex geometry, deviation inequalities, hyperbolic length, spherical sections, hyperbolic space, isoperimetric inequality, maximal volume, periodic points, topological entropy, hyperbolic geometry, isoperimetric problem, convex bodies Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Brunn's Theorem, Fritz John, Acta Math, Flavors of Geometry, Kasin's Theorem, Annual Symposium, Cambridge University Press, Dvoretzky-Rogers Lemma, Foundations of Computer Science, Graduate Texts, Kluwer Acad, Kyoto Univ, Los Alamitos, Monte Carlo, Publications Volume New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
These notes are based, somewhat loosely, on three series of lectures given by myself, J. Lindenstrauss and G. Schechtman, during the Introductory Workshop in Convex Geometry held at the Mathematical Sciences Research Institute in Berkeley, early in 1996. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
maximal ellipsoid, thin triangles condition, polynomial diffeomorphisms, hyperbolic spheres, membership oracle, hyperboloid model, separation oracle, horseshoe map, hyperbolic geodesic, symmetric convex body, heteroclinic points, hyperbolic isometry, hyperbolic isometries, convex geometry, deviation inequalities, hyperbolic length, spherical sections, hyperbolic space, isoperimetric inequality, maximal volume, periodic points, topological entropy, hyperbolic geometry, isoperimetric problem, convex bodies Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Brunn's Theorem, Fritz John, Acta Math, Flavors of Geometry, Kasin's Theorem, Annual Symposium, Cambridge University Press, Dvoretzky-Rogers Lemma, Foundations of Computer Science, Graduate Texts, Kluwer Acad, Kyoto Univ, Los Alamitos, Monte Carlo, Publications Volume New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 25
books:
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35
books
cite this book:
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- Global Analysis on Foliated Spaces (Mathematical Sciences Research Institute Publications) by Calvin C. Moore in Front Matter
- Current Topics in Complex Algebraic Geometry (Mathematical Sciences Research Institute Publications) by Herbert Clemens in Front Matter
- Comparison Geometry (Mathematical Sciences Research Institute Publications) by Karsten Grove in Front Matter
- Computer Science: A Concise Introduction by Ian Robertson Sinclair on page 179
- Geometry and the Imagination (CHEL/87.H) (AMS Chelsea Publishing) by David Hilbert on page 109
See all 25 books this book cites
- Convex Geometric Analysis (Mathematical Sciences Research Institute Publications) by Keith M. Ball in Front Matter (1), and Front Matter (2)
- Geometric Algebra by Eduardo Bayro Corrochano in Back Matter (1), and Back Matter (2)
- Geometric Aspects of Functional Analysis: Israel Seminar 1996-2000 (Lecture Notes in Mathematics) by V.D. Milman on page 26
- More Games of No Chance (Mathematical Sciences Research Institute Publications) by Richard Nowakowski in Front Matter
- Combinatorial and Computational Geometry (Mathematical Sciences Research Institute Publications) by Jacob E. Goodman in Front Matter
See all 35 books citing this book
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