Listing 1 - 10 of 64 | << page >> |
Sort by
|
Choose an application
Choose an application
Choose an application
Choose an application
517 --- 517 Analysis --- Analysis --- Complex analysis --- Functions of several complex variables --- Congresses.
Choose an application
Mathematical analysis --- Mathematical physics --- Analyse mathématique --- Advanced calculus --- Analysis (Mathematics) --- Algebra --- 517.1 Mathematical analysis --- Analyse mathématique --- 517.1. --- 517.1
Choose an application
Differentiaalvergelijkingen --- Differential equations --- Equations différentielles --- Oscillaties --- Oscillations --- 517.91 --- Cycles --- Fluctuations (Physics) --- Vibration --- Equations, Differential --- Bessel functions --- Calculus --- Ordinary differential equations: general theory --- 517.91 Differential equations --- 517.91 Ordinary differential equations: general theory --- 517.91. --- Numerical solutions
Choose an application
Asymptotic expansions --- 517.91 --- Numerical solutions --- Asymptotic theory
Choose an application
Mathématiques --- Wiskunde --- 517.53 --- Academic collection --- Functions of a complex variable --- 517.53 Functions of a complex variable
Choose an application
In this volume, a tower of surreal number fields is defined, each being a real-closed field having a canonical formal power series structure and many other higher order properties. Formal versions of such theorems as the Implicit Function Theorem hold over such fields. The Main Theorem states that every formal power series in a finite number of variables over a surreal field has a positive radius of hyper-convergence within which it may be evaluated. Analytic functions of several surreal and surcomplex variables can then be defined and studied. Some first results in the one variable case are derived. A primer on Conway's field of surreal numbers is also given.Throughout the manuscript, great efforts have been made to make the volume fairly self-contained. Much exposition is given. Many references are cited. While experts may want to turn quickly to new results, students should be able to find the explanation of many elementary points of interest. On the other hand, many new results are given, and much mathematics is brought to bear on the problems at hand.
Surreal numbers. --- Algebraic fields. --- Mathematical analysis. --- Surreal numbers --- Corps algébriques --- Analyse mathématique --- 517.13 --- Algebraic fields --- Mathematical analysis --- Numbers, Surreal --- Number theory --- Advanced calculus --- Analysis (Mathematics) --- Algebra --- Algebraic number fields --- Algebraic numbers --- Fields, Algebraic --- Algebra, Abstract --- Algebraic number theory --- Rings (Algebra) --- Theory of real numbers --- 517.1 Mathematical analysis --- 517.13 Theory of real numbers --- 517.1. --- 517.1
Choose an application
Listing 1 - 10 of 64 | << page >> |
Sort by
|