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Differential Geometry


Lost in Math: How Beauty Leads Physics Astray

Lost in Math: How Beauty Leads Physics Astray Lowest new price: $19.32
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Author: Sabine Hossenfelder

A contrarian argues that modern physicists' obsession with beauty has given us wonderful math but bad science

Whether pondering black holes or predicting discoveries at CERN, physicists believe the best theories are beautiful, natural, and elegant, and this standard separates popular theories from disposable ones. This is why, Sabine Hossenfelder argues, we have not seen a major breakthrough in the foundations of physics for more than four decades. The belief in beauty has become so dogmatic that it now conflicts with scientific objectivity: observation has been unable to confirm mindboggling theories, like supersymmetry or grand unification, invented by physicists based on aesthetic criteria. Worse, these "too good to not be true" theories are actually untestable and they have left the field in a cul-de-sac. To escape, physicists must rethink their methods. Only by embracing reality as it is can science discover the truth.


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Geometric Formulas (Quick Study: Academic)

Geometric Formulas (Quick Study: Academic) Lowest new price: $0.39
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Author: Inc. BarCharts
Brand: Brand: QuickStudy

6-page laminated guide includes:
·general terms
·lines
·line segments
·rays
·angles
·transversal line angles
·polygons
·circles
·theorems & relationships
·postulates
·geometric formulas

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  • Used Book in Good Condition

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Special Relativity and Classical Field Theory: The Theoretical Minimum

Special Relativity and Classical Field Theory: The Theoretical Minimum Lowest new price: $15.00
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Author: Leonard Susskind

The third volume in the bestselling physics series cracks open Einstein's special relativity and field theory


Physicist Leonard Susskind and data engineer Art Friedman are back. This time, they introduce readers to Einstein's special relativity and Maxwell's classical field theory. Using their typical brand of real math, enlightening drawings, and humor, Susskind and Friedman walk us through the complexities of waves, forces, and particles by exploring special relativity and electromagnetism. It's a must-read for both devotees of the series and any armchair physicist who wants to improve their knowledge of physics' deepest truths.

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Geometry Part 2 (Quickstudy Reference Guides - Academic)

Geometry Part 2 (Quickstudy Reference Guides - Academic) Lowest new price: $0.39
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Author: Inc. BarCharts
Brand: Bar Charts

Part 2 of our coverage of the fundamental structure of geometry.

 

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Introduction to Differential Geometry of Space Curves and Surfaces: Differential Geometry of Curves and Surfaces

Introduction to Differential Geometry of Space Curves and Surfaces: Differential Geometry of Curves and Surfaces Lowest new price: $14.54
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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 intermediate-level 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 self-contained and reduce the need for external references.

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Differential Geometry of Curves and Surfaces: Revised and Updated Second Edition (Dover Books on Mathematics)

Differential Geometry of Curves and Surfaces: Revised and Updated Second Edition (Dover Books on Mathematics) Lowest new price: $17.59
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Author: Manfredo P. do Carmo

One of the most widely used texts in its field, this volume introduces the differential geometry of curves and surfaces in both local and global aspects. The presentation departs from the traditional approach with its more extensive use of elementary linear algebra and its emphasis on basic geometrical facts rather than machinery or random details. Many examples and exercises enhance the clear, well-written exposition, along with hints and answers to some of the problems.
The treatment begins with a chapter on curves, followed by explorations of regular surfaces, the geometry of the Gauss map, the intrinsic geometry of surfaces, and global differential geometry. Suitable for advanced undergraduates and graduate students of mathematics, this text's prerequisites include an undergraduate course in linear algebra and some familiarity with the calculus of several variables. For this second edition, the author has corrected, revised, and updated the entire volume.

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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: $46.50
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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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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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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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List price: $31.00
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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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: $9.25
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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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