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Books
Differential Geometry
A Comprehensive Introduction to Differential Geometry, Vol. 1, 3rd Edition
Lowest new price: $46.33
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List price: $50.00
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
Features:
 Used Book in Good Condition
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 A Comprehensive Introduction to Differential Geometry, Vol. 2, 3rd Edition
 A Comprehensive Introduction to Differential Geometry, Vol. 3, 3rd Edition
 A Comprehensive Introduction to Differential Geometry, Vol. 4, 3rd Edition
 A Comprehensive Introduction to Differential Geometry, Vol. 5, 3rd Edition
 Calculus On Manifolds: A Modern Approach To Classical Theorems Of Advanced Calculus
 Introduction to Smooth Manifolds (Graduate Texts in Mathematics, Vol. 218)
 Differential Geometry of Curves and Surfaces: Revised and Updated Second Edition (Dover Books on Mathematics)
 Algebraic Topology
 Physics for Mathematicians, Mechanics I
 Differential Topology (AMS Chelsea Publishing)


Introduction to Differential Geometry of Space Curves and Surfaces: Differential Geometry of Curves and Surfaces
Lowest new price: $14.54
Lowest used price: $14.48
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Author: Taha Sochi

This book is about differential geometry of space curves and surfaces. The formulation and presentation are largely based on a tensor calculus approach. It can be used as part of a course on tensor calculus as well as a textbook or a reference for an intermediatelevel course on differential geometry of curves and surfaces. The book is furnished with an index, extensive sets of exercises and many cross references, which are hyperlinked for the ebook users, to facilitate linking related concepts and sections. The book also contains a considerable number of 2D and 3D graphic illustrations to help the readers and users to visualize the ideas and understand the abstract concepts. We also provided an introductory chapter where the main concepts and techniques needed to understand the offered materials of differential geometry are outlined to make the book fairly selfcontained and reduce the need for external references.
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Classical Mechanics with Mathematica® (Modeling and Simulation in Science, Engineering and Technology)
Lowest new price: $149.00
List price: $149.00
Author: Antonio Romano

This textbook takes a broad yet thorough approach to mechanics, aimed at bridging the gap between classical analytic and modern differential geometric approaches to the subject. Developed by the authors from over 30 years of teaching experience, the presentation is designed to give students an overview of the many different models used through the history of the field―from Newton to Hamilton―while also painting a clear picture of the most modern developments. The text is organized into two parts. The first focuses on developing the mathematical framework of linear algebra and differential geometry necessary for the remainder of the book. Topics covered include tensor algebra, Euclidean and symplectic vector spaces, differential manifolds, and absolute differential calculus. The second part of the book applies these topics to kinematics, rigid body dynamics, Lagrangian and Hamiltonian dynamics, Hamilton–Jacobi theory, completely integrable systems, statistical mechanics of equilibrium, and impulsive dynamics, among others. This new edition has been completely revised and updated and now includes almost 200 exercises, as well as new chapters on celestial mechanics, onedimensional continuous systems, and variational calculus with applications. Several Mathematica® notebooks are available to download that will further aid students in their understanding of some of the more difficult material. Unique in its scope of coverage and method of approach, Classical Mechanics with Mathematica® will be useful resource for graduate students and advanced undergraduates in applied mathematics and physics who hope to gain a deeper understanding of mechanics.


Benjamin Harrison: The American Presidents Series: The 23rd President, 18891893
Lowest new price: $17.98
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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 greatgrandfather 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 scandalfree term in the Senateno small feat in the Gilded Agethe 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 twentythird 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 billiondollar 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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The Geometry of Physics: An Introduction
Lowest new price: $63.00
Lowest used price: $53.99
List price: $77.00
Author: Theodore Frankel
Brand: Brand: Cambridge University Press

This book provides a working knowledge of those parts of exterior differential forms, differential geometry, algebraic and differential topology, Lie groups, vector bundles, and Chern forms that are helpful for a deeper understanding of both classical and modern physics and engineering. It is ideal for graduate and advanced undergraduate students of physics, engineering or mathematics as a course text or for self study.
A main addition introduced in this Third Edition is the inclusion of an Overview, which can be read before starting the text. This appears at the beginning of the text, before Chapter 1. Many of the geometric concepts developed in the text are previewed here and these are illustrated by their applications to a single extended problem in engineering, namely the study of the Cauchy stresses created by a small twist of an elastic cylindrical rod about its axis.
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 Used Book in Good Condition
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Differential Geometry of Curves and Surfaces (Undergraduate Texts in Mathematics)
Lowest new price: $52.81
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List price: $69.99
Author: Kristopher Tapp

This is a textbook on differential geometry wellsuited to a variety of courses on this topic. For readers seeking an elementary text, the prerequisites are minimal and include plenty of examples and intermediate steps within proofs, while providing an invitation to more excursive applications and advanced topics. For readers bound for graduate school in math or physics, this is a clear, concise, rigorous development of the topic including the deep global theorems. For the benefit of all readers, the author employs various techniques to render the difficult abstract ideas herein more understandable and engaging.
Over 300 color illustrations bring the mathematics to life, instantly clarifying concepts in ways that grayscale could not. Greenboxed definitions and purpleboxed theorems help to visually organize the mathematical content. Color is even used within the text to highlight logical relationships.
Applications abound! The study of conformal and equiareal functions is grounded in its application to cartography. Evolutes, involutes and cycloids are introduced through Christiaan Huygens' fascinating story: in attempting to solve the famous longitude problem with a mathematicallyimproved pendulum clock, he invented mathematics that would later be applied to optics and gears. Clairaut’s Theorem is presented as a conservation law for angular momentum. Green’s Theorem makes possible a drafting tool called a planimeter. Foucault’s Pendulum helps one visualize a parallel vector field along a latitude of the earth. Even better, a southpointing chariot helps one visualize a parallel vector field along any curve in any surface.
In truth, the most profound application of differential geometry is to modern physics, which is beyond the scope of this book. The GPS in any car wouldn’t work without general relativity, formalized through the language of differential geometry. Throughout this book, applications, metaphors and visualizations are tools that motivate and clarify the rigorous mathematical content, but never replace it.
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The Wheel Of Time: The Shamans Of Mexico Their Thoughts About Life Death And The Universe
Lowest new price: $5.99
Lowest used price: $4.07
List price: $16.00
Author: Carlos Castaneda
Brand: Unknown

Worldrenowned 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 mindaltering 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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Differential Geometry: Curves  Surfaces  Manifolds (Student Mathematical Library)
Lowest new price: $49.00
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Author: Wolfgang Kuhnel

This carefully written book is an introduction to the beautiful ideas and results of differential geometry. The first half covers the geometry of curves and surfaces, which provide much of the motivation and intuition for the general theory. The second part studies the geometry of general manifolds, with particular emphasis on connections and curvature. The text is illustrated with many figures and examples. The prerequisites are undergraduate analysis and linear algebra. This new edition provides many advancements, including more figures and exercises, andas a new featurea good number of solutions to selected exercises.
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Differential Geometry (Dover Books on Mathematics)
Lowest new price: $11.32
Lowest used price: $10.24
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Author: Erwin Kreyszig
Brand: Erwin Kreyszig

This outstanding textbook by a distinguished mathematical scholar introduces the differential geometry of curves and surfaces in threedimensional Euclidean space. The subject is presented in its simplest, most essential form, but with many explanatory details, figures and examples, and in a manner that conveys the geometric significance and theoretical and practical importance of the different concepts, methods and results involved. The first chapters of the book focus on the basic concepts and facts of analytic geometry, the theory of space curves, and the foundations of the theory of surfaces, including problems closely related to the first and second fundamental forms. The treatment of the theory of surfaces makes full use of the tensor calculus. The later chapters address geodesics, mappings of surfaces, special surfaces, and the absolute differential calculus and the displacement of LeviCività. Problems at the end of each section (with solutions at the end of the book) will help students meaningfully review the material presented, and familiarize themselves with the manner of reasoning in differential geometry.
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Aspects of Differential Geometry I (Synthesis Lectures on Mathematics and Statistics)
Lowest new price: $40.00
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Author: Peter Gilkey
Brand: Gilkey Peter

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 LeviCivita connection is presented, geodesics introduced, the Jacobi operator is discussed, and the GaussBonnet 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 ChernGaussBonnet Theorem for pseudoRiemannian manifolds with boundary is new. Table of Contents: Preface / Acknowledgments / Basic Notions and Concepts / Manifolds / Riemannian and PseudoRiemannian Geometry / Bibliography / Authors' Biographies / Index
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 Aspects of Differential Geometry I


