In addition to the standard topics, this volume contains many topics not often found in an algebra book, such as inequalities, and the elements of substitution theory. Especially extensive is Chrystal's treatment of the infinite series, infinite products, and (finite and infinite) continued fractions. The range of entries in the Subject Index is very wide. To mention a few out of many hundreds: Horner's method, multinomial theorem, mortality table, arithmetico-geometric series, Pellian equation, Bernoulli numbers, irrationality of e, Gudermanian, Euler numbers, continuant, Stirling's theorem,...
In addition to the standard topics, this volume contains many topics not often found in an algebra book, such as inequalities, and the elements of sub...
In addition to the standard topics, this volume contains many topics not often found in an algebra book, such as inequalities, and the elements of substitution theory. Especially extensive is Chrystal's treatment of the infinite series, infinite products, and (finite and infinite) continued fractions.
In addition to the standard topics, this volume contains many topics not often found in an algebra book, such as inequalities, and the elements of sub...
In this second English edition of Caratheodory's work (originally published in German), the two volumes of the first edition have been combined into one (with a combination of the two indexes into a single index). There is a deep and fundamental relationship between the differential equations that occur in the calculus of variations and partial differential equations of the first order: in particular, to each such partial differential equation there correspond variational problems. This basic fact forms the rationale for Caratheodory's work.
In this second English edition of Caratheodory's work (originally published in German), the two volumes of the first edition have been combined into o...
This second volume is a comprehensive treatment of Diophantine analysis. Besides the familiar cases of Diophantine equations, this rubric also covers partitions, representations as a sum of two, three, four or $n$ squares, Waring's problem in general and Hilbert's solution of it, and perfect squares in artihmetical and geometrical progressions. Many important Diophantine equations, such as Pell's equation, and classes of equations, such as quadratic, cubic and quartic equations, are treated in detail.
This second volume is a comprehensive treatment of Diophantine analysis. Besides the familiar cases of Diophantine equations, this rubric also covers ...
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...
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...
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...