Author: Henry Frederick BakerPublisher:
ISBN:
Category : Geometry
Languages : en
Pages : 204
Book Description
Principles of Geometry
Author: Henry Frederick BakerPublisher:
ISBN:
Category : Geometry
Languages : en
Pages : 204
Book Description
A Treatise of Geometry, Containing the First Six Books of Euclid's Elements
Author: Daniel CresswellPublisher:
ISBN:
Category : Geometry
Languages : en
Pages : 540
Book Description
The Principle of Least Action in Geometry and Dynamics
Author: Karl Friedrich SiburgPublisher: Springer Science & Business Media
ISBN: 9783540219446
Category : Computers
Languages : en
Pages : 148
Book Description
New variational methods by Aubry, Mather, and Mane, discovered in the last twenty years, gave deep insight into the dynamics of convex Lagrangian systems. This book shows how this Principle of Least Action appears in a variety of settings (billiards, length spectrum, Hofer geometry, modern symplectic geometry). Thus, topics from modern dynamical systems and modern symplectic geometry are linked in a new and sometimes surprising way. The central object is Mather’s minimal action functional. The level is for graduate students onwards, but also for researchers in any of the subjects touched in the book.
$h$-Principles and Flexibility in Geometry
Author: Hansjörg GeigesPublisher: American Mathematical Soc.
ISBN: 0821833154
Category : Global differential geometry
Languages : en
Pages : 74
Book Description
The notion of homotopy principle or $h$-principle is one of the key concepts in an elegant language developed by Gromov to deal with a host of questions in geometry and topology. Roughly speaking, for a certain differential geometric problem to satisfy the $h$-principle is equivalent to saying that a solution to the problem exists whenever certain obvious topological obstructions vanish. The foundational examples for applications of Gromov's ideas include (i) Hirsch-Smale immersion theory, (ii) Nash-Kuiper $C^1$-isometric immersion theory, (iii) existence of symplectic and contact structures on open manifolds. Gromov has developed several powerful methods that allow one to prove $h$-principles. These notes, based on lectures given in the Graduiertenkolleg of Leipzig University, present two such methods which are strong enough to deal with applications (i) and (iii).
Principles of Algebraic Geometry
Author: Phillip GriffithsPublisher: John Wiley & Sons
ISBN: 111862632X
Category : Mathematics
Languages : en
Pages : 832
Book Description
A comprehensive, self-contained treatment presenting general results of the theory. Establishes a geometric intuition and a working facility with specific geometric practices. Emphasizes applications through the study of interesting examples and the development of computational tools. Coverage ranges from analytic to geometric. Treats basic techniques and results of complex manifold theory, focusing on results applicable to projective varieties, and includes discussion of the theory of Riemann surfaces and algebraic curves, algebraic surfaces and the quadric line complex as well as special topics in complex manifolds.
The Wonder Book of Geometry
Author: David AchesonPublisher: Oxford University Press
ISBN: 0192585371
Category : Mathematics
Languages : en
Pages : 240
Book Description
How can we be sure that Pythagoras's theorem is really true? Why is the 'angle in a semicircle' always 90 degrees? And how can tangents help determine the speed of a bullet? David Acheson takes the reader on a highly illustrated tour through the history of geometry, from ancient Greece to the present day. He emphasizes throughout elegant deduction and practical applications, and argues that geometry can offer the quickest route to the whole spirit of mathematics at its best. Along the way, we encounter the quirky and the unexpected, meet the great personalities involved, and uncover some of the loveliest surprises in mathematics.
Principles of Geometry
Author: Henry Frederick BakerPublisher:
ISBN:
Category : Geometry
Languages : en
Pages : 208
Book Description
Principles of Geometry
Author: H. F. BakerPublisher: Cambridge University Press
ISBN: 1108017819
Category : Mathematics
Languages : en
Pages : 264
Book Description
A benchmark study of projective geometry and the birational theory of surfaces, first published between 1922 and 1925.
Methods of Geometry
Author: James T. SmithPublisher: John Wiley & Sons
ISBN: 1118031032
Category : Mathematics
Languages : en
Pages : 486
Book Description
A practical, accessible introduction to advanced geometryExceptionally well-written and filled with historical andbibliographic notes, Methods of Geometry presents a practical andproof-oriented approach. The author develops a wide range ofsubject areas at an intermediate level and explains how theoriesthat underlie many fields of advanced mathematics ultimately leadto applications in science and engineering. Foundations, basicEuclidean geometry, and transformations are discussed in detail andapplied to study advanced plane geometry, polyhedra, isometries,similarities, and symmetry. An excellent introduction to advancedconcepts as well as a reference to techniques for use inindependent study and research, Methods of Geometry alsofeatures: Ample exercises designed to promote effective problem-solvingstrategies Insight into novel uses of Euclidean geometry More than 300 figures accompanying definitions and proofs A comprehensive and annotated bibliography Appendices reviewing vector and matrix algebra, least upperbound principle, and equivalence relations An Instructor's Manual presenting detailed solutions to all theproblems in the book is available upon request from the Wileyeditorial department.
Principles of Geometry
Author: Henry Frederick BakerPublisher:
ISBN:
Category : Geometry
Languages : en
Pages : 0
Book Description