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Differential Geometry


The Wheel Of Time: The Shamans Of Mexico Their Thoughts About Life Death And The Universe

The Wheel Of Time: The Shamans Of Mexico Their Thoughts About Life Death And The Universe Lowest new price: $5.09
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Author: Carlos Castaneda
Brand: Unknown

World-renowned bestselling author Carlos Castaneda's Selection of his wrtings on the shamans of ancient Mexico.

Originally drawn to Yaqui Indian spiritual leader don Juan Matus for his knowledge of mind-altering plants, bestselling author Carlos Castaneda soon immersed himself in the sorcerer’s magical world entirely. Ten years after his first encounter with the shaman, Castaneda examines his field notes and comes to understand what don Juan knew all along—that these plants are merely a means to understanding the alternative realities that one cannot fully embrace on one’s own. In Journey to Ixtlan, Carlos Castaneda introduces readers to this new approach for the first time and explores, as he comes to experience it himself, his own final voyage into the teachings of don Juan, sharing with us what it is like to truly “stop the world” and perceive reality on his own terms.

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  • The Wheel of Time: The Shamans of Ancient Mexico, Their Thoughts About Life, Death and the Universe

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A Comprehensive Introduction to Differential Geometry, Vol. 1, 3rd Edition

A Comprehensive Introduction to Differential Geometry, Vol. 1, 3rd Edition Lowest new price: $50.00
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Author: Michael Spivak
Brand: Brand: Publish or Perish

Spivak's 5 volume set is a classic and overall the best and most thorough treatment of differential geometry

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  • Used Book in Good Condition

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Introduction to Smooth Manifolds (Graduate Texts in Mathematics, Vol. 218)

Introduction to Smooth Manifolds (Graduate Texts in Mathematics, Vol. 218) Lowest new price: $46.52
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Author: John Lee
Brand: Brand: Springer

This book is an introductory graduate-level textbook on the theory of smooth manifolds. Its goal is to familiarize students with the tools they will need in order to use manifolds in mathematical or scientific research--- smooth structures, tangent vectors and covectors, vector bundles, immersed and embedded submanifolds, tensors, differential forms, de Rham cohomology, vector fields, flows, foliations, Lie derivatives, Lie groups, Lie algebras, and more. The approach is as concrete as possible, with pictures and intuitive discussions of how one should think geometrically about the abstract concepts, while making full use of the powerful tools that modern mathematics has to offer.

This second edition has been extensively revised and clarified, and the topics have been substantially rearranged. The book now introduces the two most important analytic tools, the rank theorem and the fundamental theorem on flows, much earlier so that they can be used throughout the book. A few new topics have been added, notably Sard’s theorem and transversality, a proof that infinitesimal Lie group actions generate global group actions, a more thorough study of first-order partial differential equations, a brief treatment of degree theory for smooth maps between compact manifolds, and an introduction to contact structures.

Prerequisites include a solid acquaintance with general topology, the fundamental group, and covering spaces, as well as basic undergraduate linear algebra and real analysis.

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  • Used Book in Good Condition

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Benjamin Harrison: The American Presidents Series: The 23rd President, 1889-1893

Benjamin Harrison: The American Presidents Series: The 23rd President, 1889-1893 Lowest new price: $19.99
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Author: Charles W. Calhoun
Brand: Calhoun, Charles W./ Schesliner, Arthur M., Jr. (EDT)

The scion of a political dynasty ushers in the era of big government

Politics was in Benjamin Harrison's blood. His great-grandfather signed the Declaration and his grandfather, William Henry Harrison, was the ninth president of the United States. Harrison, a leading Indiana lawyer, became a Republican Party champion, even taking a leave from the Civil War to campaign for Lincoln. After a scandal-free term in the Senate-no small feat in the Gilded Age-the Republicans chose Harrison as their presidential candidate in 1888. Despite losing the popular vote, he trounced the incumbent, Grover Cleveland, in the electoral college.

In contrast to standard histories, which dismiss Harrison's presidency as corrupt and inactive, Charles W. Calhoun sweeps away the stereotypes of the age to reveal the accomplishments of our twenty-third president. With Congress under Republican control, he exemplified the activist president, working feverishly to put the Party's planks into law and approving the first billion-dollar peacetime budget. But the Democrats won Congress in 1890, stalling his legislative agenda, and with the First Lady ill, his race for reelection proceeded quietly. (She died just before the election.) In the end, Harrison could not beat Cleveland in their unprecedented rematch.

With dazzling attention to this president's life and the social tapestry of his times, Calhoun compellingly reconsiders Harrison's legacy.

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Differential Geometry (Dover Books on Mathematics)

Differential Geometry (Dover Books on Mathematics) Lowest new price: $10.00
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Author: Erwin Kreyszig
Brand: Dover Publications

An introductory textbook on the differential geometry of curves and surfaces in 3-dimensional Euclidean space, presented in its simplest, most essential form, but with many explanatory details, figures, and examples, and in a manner that conveys the theoretical and practical importance of the different concepts, methods, and results involved. With problems and solutions. Includes 99 illustrations.

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  • Dover Publications

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Elementary Differential Geometry (Springer Undergraduate Mathematics Series)

Elementary Differential Geometry (Springer Undergraduate Mathematics Series) Lowest new price: $25.16
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Author: A.N. Pressley

Elementary Differential Geometry presents the main results in the differential geometry of curves and surfaces suitable for a first course on the subject. Prerequisites are kept to an absolute minimum – nothing beyond first courses in linear algebra and multivariable calculus – and the most direct and straightforward approach is used throughout.

New features of this revised and expanded second edition include:

    a chapter on non-Euclidean geometry, a subject that is of great importance in the history of mathematics and crucial in many modern developments. The main results can be reached easily and quickly by making use of the results and techniques developed earlier in the book.

  • Coverage of topics such as: parallel transport and its applications; map colouring; holonomy and Gaussian curvature.
  • Around 200 additional exercises, and a full solutions manual for instructors, available via www.springer.com
  • ul

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Riemannian Geometry

Riemannian Geometry Lowest new price: $39.23
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Author: Manfredo Perdigao do Carmo

Riemannian Geometry is an expanded edition of a highly acclaimed and successful textbook (originally published in Portuguese) for first-year graduate students in mathematics and physics. The author's treatment goes very directly to the basic language of Riemannian geometry and immediately presents some of its most fundamental theorems. It is elementary, assuming only a modest background from readers, making it suitable for a wide variety of students and course structures. Its selection of topics has been deemed "superb" by teachers who have used the text.

A significant feature of the book is its powerful and revealing structure, beginning simply with the definition of a differentiable manifold and ending with one of the most important results in Riemannian geometry, a proof of the Sphere Theorem. The text abounds with basic definitions and theorems, examples, applications, and numerous exercises to test the student's understanding and extend knowledge and insight into the subject. Instructors and students alike will find the work to be a significant contribution to this highly applicable and stimulating subject.

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An Introduction to Manifolds (Universitext)

An Introduction to Manifolds (Universitext) Lowest new price: $47.99
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Author: Loring W. Tu

Manifolds, the higher-dimensional analogs of smooth curves and surfaces, are fundamental objects in modern mathematics. Combining aspects of algebra, topology, and analysis, manifolds have also been applied to classical mechanics, general relativity, and quantum field theory. In this streamlined introduction to the subject, the theory of manifolds is presented with the aim of helping the reader achieve a rapid mastery of the essential topics. By the end of the book the reader should be able to compute, at least for simple spaces, one of the most basic topological invariants of a manifold, its de Rham cohomology. Along the way, the reader acquires the knowledge and skills necessary for further study of geometry and topology. The requisite point-set topology is included in an appendix of twenty pages; other appendices review facts from real analysis and linear algebra. Hints and solutions are provided to many of the exercises and problems. This work may be used as the text for a one-semester graduate or advanced undergraduate course, as well as by students engaged in self-study. Requiring only minimal undergraduate prerequisites, 'Introduction to Manifolds' is also an excellent foundation for Springer's GTM 82, 'Differential Forms in Algebraic Topology'.

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A Comprehensive Introduction to Differential Geometry, Vol. 2, 3rd Edition

A Comprehensive Introduction to Differential Geometry, Vol. 2, 3rd Edition Lowest new price: $40.00
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Author: Michael Spivak
Brand: Brand: Publish or Perish

Book by Michael Spivak, Spivak, Michael

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  • Used Book in Good Condition

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Cartan Geometries and their Symmetries: A Lie Algebroid Approach (Atlantis Studies in Variational Geometry)

Cartan Geometries and their Symmetries: A Lie Algebroid Approach (Atlantis Studies in Variational Geometry) Lowest new price: $82.50
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Author: Mike Crampin

In this book we first review the ideas of Lie groupoid and Lie algebroid, and the associated concepts of connection. We next consider Lie groupoids of fibre morphisms of a  fibre bundle, and the connections on such groupoids together with their symmetries. We also see how the infinitesimal approach, using Lie algebroids rather than Lie groupoids, and in particular using Lie algebroids of vector fields along the projection of the fibre bundle, may be of benefit.

We then introduce Cartan geometries, together with a number of tools we shall use to study them. We take, as particular examples, the four classical types of geometry: affine, projective, Riemannian and conformal geometry. We also see how our approach can start to fit into a more general theory. Finally, we specialize to the geometries (affine and projective) associated with path spaces and geodesics, and consider their symmetries and other properties.


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