Download E-books Mathematical Masterpieces: Further Chronicles by the Explorers PDF

Intended for juniors and seniors majoring in arithmetic, in addition to a person pursuing autonomous examine, this ebook lines the historic improvement of 4 varied mathematical options by way of proposing readers with the unique resources. each one bankruptcy showcases a masterpiece of mathematical success, anchored to a chain of chosen fundamental assets. The authors research the interaction among the discrete and non-stop, with a spotlight on sums of powers. They then delineate the improvement of algorithms via Newton, Simpson and Smale. subsequent they discover our smooth figuring out of curvature, and at last they appear on the homes of major numbers. The publication contains workouts, a variety of images, and an annotated bibliography.

Show description

Read or Download Mathematical Masterpieces: Further Chronicles by the Explorers PDF

Best Differential Geometry books

Differential Geometry (Dover Books on Mathematics)

An introductory textbook at the differential geometry of curves and surfaces in third-dimensional Euclidean area, offered in its least difficult, so much crucial shape, yet with many explanatory info, figures and examples, and in a fashion that conveys the theoretical and sensible value of the several options, tools and effects concerned.

Variational Problems in Differential Geometry (London Mathematical Society Lecture Note Series, Vol. 394)

The sphere of geometric variational difficulties is fast-moving and influential. those difficulties have interaction with many different components of arithmetic and feature powerful relevance to the research of integrable structures, mathematical physics and PDEs. The workshop 'Variational difficulties in Differential Geometry' held in 2009 on the collage of Leeds introduced jointly the world over revered researchers from many alternative components of the sphere.

Lie Algebras, Geometry, and Toda-Type Systems (Cambridge Lecture Notes in Physics)

Dedicated to an incredible and well known department of contemporary theoretical and mathematical physics, this booklet introduces using Lie algebra and differential geometry easy methods to examine nonlinear integrable structures of Toda style. Many hard difficulties in theoretical physics are with regards to the answer of nonlinear structures of partial differential equations.

Contact Geometry and Nonlinear Differential Equations (Encyclopedia of Mathematics and its Applications)

Tools from touch and symplectic geometry can be utilized to unravel hugely non-trivial nonlinear partial and usual differential equations with no resorting to approximate numerical equipment or algebraic computing software program. This publication explains how it truly is performed. It combines the readability and accessibility of a sophisticated textbook with the completeness of an encyclopedia.

Additional info for Mathematical Masterpieces: Further Chronicles by the Explorers

Show sample text content

Rated 4.78 of 5 – based on 35 votes