Tristan Needham Orden de los libros (cronológico)

The book presents a unique approach to differential geometry, emphasizing geometric intuition through 235 hand-drawn diagrams. It revisits classical results using Newton's methods and offers distinct geometrical proofs of significant theorems, including the Global Gauss-Bonnet theorem and Gauss's Theorema Egregium. The final act introduces differential forms, covering advanced topics like Maxwell's equations, de Rham cohomology, and Einstein's field equations, making complex concepts accessible to undergraduates. The chapters can be read independently, enhancing flexibility for learners.

FROM THE  Please do NOT buy this original 1997 edition!  I have created a new, greatly improved (and cheaper!) edition, which was published on February 28th, 2023:Visual Complex 25th Anniversary Edition (with a new Foreword by Roger Penrose)**************************************************************************************************This radical first course on complex analysis brings a beautiful and powerful subject to life by consistently using geometry (not calculation) as the means of explanation. Aimed at undergraduate students in mathematics, physics, and engineering, the book's intuitive explanations, lack of advanced prerequisites, and consciously user-friendly prose style will help students to master the subject more readily than was previously possible. The key to this is the book's use of new geometric arguments in place of the standard calculational ones. These geometric arguments are communicated with the aid of hundreds of diagrams of a standard seldom encountered in mathematical works. A new approach to a classical topic, this work will be of interest to students in mathematics, physics, and engineering, as well as to professionals in these fields.