Visual Differential Geometry and Forms PDF Download Free

Visual Differential Geometry and Forms PDF

Attributes of Visual Differential Geometry and Forms PDF

Visual Differential Geometry and Forms PDF fulfills two principal goals. In the first four acts, Tristan Needham puts the geometry back into differential geometry. Using 235 hand-drawn diagrams, Needham deploys Newton’s geometrical methods to provide geometrical explanations of the classical results. In the fifth act, he offers the first undergraduate introduction to differential forms that treats advanced topics in an intuitive and geometrical manner.

Unique features of the first four acts include: four distinct geometrical proofs of the fundamentally important Global Gauss-Bonnet theorem, providing a stunning link between local geometry and global topology; a simple, geometrical proof of Gauss’s famous Theorema Egregium; a complete geometrical treatment of the Riemann curvature tensor of an n-manifold; and a detailed geometrical treatment of Einstein’s field equation, describing gravity as curved spacetime (General Relativity), together with its implications for gravitational waves, black holes, and cosmology. The final act elucidates such topics as the unification of all the integral theorems of vector calculus; the elegant reformulation of Maxwell’s equations of electromagnetism in terms of 2-forms; de Rham cohomology; differential geometry via Cartan’s method of moving frames; and the calculation of the Riemann tensor using curvature 2-forms. Six of the seven chapters of Act V can be read completely independently from the rest of the book.

Requiring only basic calculus and geometry, Visual Differential Geometry and Forms provocatively rethinks the way this important area of mathematics should be considered and taught.

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Illustrations of Visual Differential Geometry and Forms PDF

This book is one of the best-selling books for the subject of science and math for all students and professionals around the world who aspire to achieve excellency in their courses and field for better understanding and teaching their pupils and themselves. It is a must read at-least once a lifetime, whether or not you find yourself related to the subject or not. So download book Visual Differential Geometry and Forms PDF

The Writers

Tristan Needham is professor of mathematics at the University of San Francisco. He is the author of Visual Complex Analysis.

Proportions of Visual Differential Geometry and Forms PDF

  • Publisher ‏ : ‎ Princeton University Press (July 13, 2021)
  • Language ‏ : ‎ English
  • Paperback ‏ : ‎ 584 pages
  • International Standard Book Number-10 ‏ : ‎ 0691203709
  • International Standard Book Number-13 ‏ : ‎ 978-0691203706
  • Item Weight ‏ : ‎ 1.95 pounds
  • Dimensions ‏ : ‎ 6.93 x 1.1 x 9.84 inches

Reviews From Customers

Everyone who lives and breathes should read this book. A high quality read, the author exquisitely develops the history of modern man (and woman) through the lens of how each and every one of us effects the world as it developed over the past 600 years. I will be using this book and citing the numerous facts to illuminate others of just how we impact the environment. This is a must read!
1

Jan Dziekan
While in the West the ecology is strengthening its foothold in public discourse, most of the world’s inhabitants live in conditions lagging decades behind the developed countries. Numbers don’t lie – there is little chance for Earth to house 10 billion people with energy, nutritional and material requirements of US or EU citizens. Vaclav Smil – true to his belief in empiricism – provides abundance of evidence, illustrating centuries of development of global civilization through numbers. While for most of history the progress was minuscule, in modern times everything goes up – be it production of cement, steel or fertilizers.

Yehezkel Dror
VINE VOICE
This well-written book provides a deep discussion of main grand transitions making the modern world, such as energy sources. It also strikes a good balance between apocalypse and super-humans as promised by misleading best-sellers.
But, surprisingly, it misses what may well be the most fateful grand transition, namely the totally novel capacity of the human species to terminate its existence as a species. It is the production of nuclear bombs starting around 2045, followed by gene editing and advancing AI, which constitute much more than a grand transition, namely a fundamental metamorphosis of humanity into a species that can steer its own evolution, for better and worse.
To control this power over the future of homo Sapiens as a species, radically novel global capacities to govern are required. The book hints at this fateful need, such as quoting Georgescu-Roegen, who stated “To economize energy . . . is not a task for one nation or even some nations. The task requires the cooperation of all nations, a point which reveals that there is a far more dreadful crisis than that of energy, namely, the crisis of the wisdom of homo sapiens sapiens” (p. 290); and stating correctly that “it is naive to expect that scores of today’s dysfunctional states (unable to provide, despite their often considerable natural riches, a decent quality of life to their own citizens) will suddenly become effective partners contributing to the salvation of the global commons” (p. 290), followed by “Affluent countries should be capable of effective concerted action, but they would have to commit to a strategy of moderation and deliberate decline, promises that have yet to win any election (p. 290).

Moni K
Very good
Reviewed in the United Kingdom on April 7, 2022

Very good

Andrew C
Always amazing books from Professor Smil
Reviewed in Canada on March 9, 2021

This book continues on many of Smil’s themes from previous books on energy, the biosphere and growth. As always the research is beyond impressive. The strength of this book is leading us through the interdependency of the great transitions and the impacts of these interactions. Reading more than 1 Smil book should be a pre-requisite for anyone before being allowed to have a social media account!

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