Geometry I

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Geometry I

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Author : Marcel Berger
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-01-21

Geometry I written by Marcel Berger and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-01-21 with Mathematics categories.

Volume I of this 2-volume textbook provides a lively and readable presentation of large parts of classical geometry. For each topic the author presents an esthetically pleasing and easily stated theorem - although the proof may be difficult and concealed. The mathematical text is illustrated with figures, open problems and references to modern literature, providing a unified reference to geometry in the full breadth of its subfields and ramifications.

Surveys In Geometry I

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Author : Athanase Papadopoulos
language : en
Publisher: Springer Nature
Release Date : 2022-02-18

Surveys In Geometry I written by Athanase Papadopoulos and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-18 with Mathematics categories.

The volume consists of a set of surveys on geometry in the broad sense. The goal is to present a certain number of research topics in a non-technical and appealing manner. The topics surveyed include spherical geometry, the geometry of finite-dimensional normed spaces, metric geometry (Bishop—Gromov type inequalities in Gromov-hyperbolic spaces), convexity theory and inequalities involving volumes and mixed volumes of convex bodies, 4-dimensional topology, Teichmüller spaces and mapping class groups actions, translation surfaces and their dynamics, and complex higher-dimensional geometry. Several chapters are based on lectures given by their authors to middle-advanced level students and young researchers. The whole book is intended to be an introduction to current research trends in geometry.

Hodge Theory And Complex Algebraic Geometry I Volume 1

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Author : Claire Voisin
language : en
Publisher: Cambridge University Press
Release Date : 2002-12-05

Hodge Theory And Complex Algebraic Geometry I Volume 1 written by Claire Voisin and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-12-05 with Mathematics categories.

The first of two volumes offering a modern introduction to Kaehlerian geometry and Hodge structure. The book starts with basic material on complex variables, complex manifolds, holomorphic vector bundles, sheaves and cohomology theory, the latter being treated in a more theoretical way than is usual in geometry. The author then proves the Kaehler identities, which leads to the hard Lefschetz theorem and the Hodge index theorem. The book culminates with the Hodge decomposition theorem. The meanings of these results are investigated in several directions. Completely self-contained, the book is ideal for students, while its content gives an account of Hodge theory and complex algebraic geometry as has been developed by P. Griffiths and his school, by P. Deligne, and by S. Bloch. The text is complemented by exercises which provide useful results in complex algebraic geometry.

Geometry I

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Author : R.V. Gamkrelidze
language : en
Publisher: Springer
Release Date : 2010-12-01

Geometry I written by R.V. Gamkrelidze and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-01 with Mathematics categories.

This book provides a tour of the principal areas and methods of modern differential geometry. Beginning at the introductory level with curves in Euclidian space, the sections become more challenging, arriving finally at the advanced topics that form the greatest part of the book: transformation groups, the geometry of differential equations, geometric structures, the equivalence problem, the geometry of elliptic operators.

Algebraic Geometry I

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Author : V.I. Danilov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01

Algebraic Geometry I written by V.I. Danilov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Mathematics categories.

"... To sum up, this book helps to learn algebraic geometry in a short time, its concrete style is enjoyable for students and reveals the beauty of mathematics." --Acta Scientiarum Mathematicarum

Geometry

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Author : R. V. Gamkrelidze
language : en
Publisher:
Release Date : 1993

Geometry written by R. V. Gamkrelidze and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.

Algebraic Geometry I

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Author : David Mumford
language : en
Publisher: Springer Science & Business Media
Release Date : 1995-02-15

Algebraic Geometry I written by David Mumford and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-02-15 with Mathematics categories.

From the reviews: "Although several textbooks on modern algebraic geometry have been published in the meantime, Mumford's "Volume I" is, together with its predecessor the red book of varieties and schemes, now as before one of the most excellent and profound primers of modern algebraic geometry. Both books are just true classics!" Zentralblatt

Geometry I

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Author : R.V. Gamkrelidze
language : en
Publisher: Springer
Release Date : 1991-11-07

Geometry I written by R.V. Gamkrelidze and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-11-07 with Mathematics categories.

Aspects Of Differential Geometry I

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Author : Peter Gilkey
language : en
Publisher: Morgan & Claypool Publishers
Release Date : 2015-02-01

Aspects Of Differential Geometry I written by Peter Gilkey and has been published by Morgan & Claypool Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-01 with Mathematics categories.

Differential Geometry is a wide field. We have chosen to concentrate upon certain aspects that are appropriate for an introduction to the subject; we have not attempted an encyclopedic treatment. In Book I, we focus on preliminaries. Chapter 1 provides an introduction to multivariable calculus and treats the Inverse Function Theorem, Implicit Function Theorem, the theory of the Riemann Integral, and the Change of Variable Theorem. Chapter 2 treats smooth manifolds, the tangent and cotangent bundles, and Stokes' Theorem. Chapter 3 is an introduction to Riemannian geometry. The Levi-Civita connection is presented, geodesics introduced, the Jacobi operator is discussed, and the Gauss-Bonnet Theorem is proved. The material is appropriate for an undergraduate course in the subject. We have given some different proofs than those that are classically given and there is some new material in these volumes. For example, the treatment of the Chern-Gauss-Bonnet Theorem for pseudo-Riemannian manifolds with boundary is new.

Standards Driven Math

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Author : Nathaniel Max Rock
language : en
Publisher: Team Rock Press
Release Date : 2007-08

Standards Driven Math written by Nathaniel Max Rock and has been published by Team Rock Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-08 with Juvenile Nonfiction categories.

Standards Driven MathT addresses the California Content Standards individually through this Student Standards HandbookT. Students can focus more directly on content standards for improved math success. In addition to standards being covered one-at-a-time, explanations of the meaning of each content standard are provided and appropriate problem sets are included. There is also a subject index by standard. Standards driven means that the standard is the driving force behind the content. No matter what textbook students are using, all will benefit from the direct standards approach of Standards Driven MathT. Every student should practice directly from a Student Standards HandbookT. Developed directly from one of the nation's most rigorous sets of state standards-California, this book is useful for spring standards test prep. No classroom should be without one for every student. Nathaniel Max Rock, an engineer by training, has taught math in middle school and high school including math classes: 7th Grade Math, Algebra I, Geometry I, Algebra II, Math Analysis and Calculus. Max has been documenting his math curricula since 2002 in various forms, some of which can be found on MathForEveryone.com, StandardsDrivenMath.com and MathIsEasySoEasy.com. Max is also an AVID elective teacher and the lead teacher for the Academy of Engineering at his high school.

Geometry I

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