Presents a general theory of iteration algorithms for the numerical solution of equations and systems of equations. This book investigates the relationship between the quantity and the quality of information that is used by an algorithm.
Presents a general theory of iteration algorithms for the numerical solution of equations and systems of equations. This book investigates the relatio...
Ramanujan occupies a unique place in analytic number theory: his formulas, identities and calculations are still amazing mathematicians three-quarters of a century after his death. Many of his discoveries seem to have appeared as if from the ether. His mentor and primary collaborator was G.H. Hardy. Here, Hardy collects 12 of his own lectures on topics stemming from Ramanujan's life and work. The topics include: partitions, hypergeometric series, Ramanujan's tau-function and round numbers.
Ramanujan occupies a unique place in analytic number theory: his formulas, identities and calculations are still amazing mathematicians three-quarters...
Discusses differential invariants of generalized spaces, including various discoveries in the field by Levi-Civita, Weyl, and the author himself, and theories of Schouten, Veblen, Eisenhart and others.
Discusses differential invariants of generalized spaces, including various discoveries in the field by Levi-Civita, Weyl, and the author himself, and ...
Contains many topics in algebra such as inequalities, and the elements of substitution theory. This volume includes over 2,400 exercises with solutions. It also gives a treatment of the infinite series, infinite products, and (finite and infinite) continued fractions.
Contains many topics in algebra such as inequalities, and the elements of substitution theory. This volume includes over 2,400 exercises with solution...
The first volume of Dickson's History covers the related topics of divisibility and primality. It begins with a description of the development of our understanding of perfect numbers. Other standard topics, such as Fermat's theorems, primitive roots, counting divisors, the Mobius function, and prime numbers themselves are treated. Dickson, in this thoroughness, also includes less workhorse subjects, such as methods of factoring, divisibility of factorials and properties of the digits of numbers. Concepts, results and citations are numerous.
The first volume of Dickson's History covers the related topics of divisibility and primality. It begins with a description of the development of our ...
Galois theory is considered one of the most beautiful subjects in mathematics, but it is hard to appreciate this fact fully without seeing specific examples. Numerous examples are therefore included throughout this text, in the hope that they will lead to a deeper understanding and genuine appreciation of the more abstract and advanced literature on Galois theory.
Galois theory is considered one of the most beautiful subjects in mathematics, but it is hard to appreciate this fact fully without seeing specific ex...
