The purpose of this book is to develop the foundations of the theory of holomorphicity on the ring of bicomplex numbers. Accordingly, the main focus is on expressing the similarities with, and differences from, the classical theory of one complex variable. The result is an elementary yet comprehensive introduction to the algebra, geometry and analysis of bicomplex numbers. Around the middle …
Computer simulation-based education and training is a multi-billion dollar industry. With the increased complexity of organizational decision making, projected demand for computer simulation-based decisional aids is on the rise. The objective of this book is to enhance systematically our understanding of and gain insights into the general process by which human facilitated ILEs are effectively …
Il libro ha origine dall'attività svolta durante il progetto "BetOnMath", un'esperienza di Matematica Civile finalizzata alla prevenzione dell'abuso di gioco d'azzardo tra gli studenti della scuola secondaria di secondo grado attraverso un insegnamento innovativo della matematica. In particolare, durante il progetto gli autori del libro hanno sviluppato un percorso didattico modulare sulla mat…
The purpose of this book is to introduce two recent topics in mathematical physics and probability theory: the Schramm–Loewner evolution (SLE) and interacting particle systems related to random matrix theory. A typical example of the latter systems is Dyson's Brownian motion (BM) model. The SLE and Dyson's BM model may be considered as "children" of the Bessel process with parameter D, BES(D)…
Penulis menunjukkan bahwa beberapa komitmen metodologis untuk objek matematika dibuat berdasarkan praktik matematika; beberapa dibuat berdasarkan pertimbangan mendasar; dan beberapa dibuat dalam metode hipotesis penerapan matematika.
This book records the state of the art in research on mathematics-related affect. It discusses the concepts and theories of mathematics-related affect along the lines of three dimensions. The first dimension identifies three broad categories of affect: motivation, emotions, and beliefs. The book contains one chapter on motivation, including discussions on how emotions and beliefs relate to …
Unifying a range of topics that are currently scattered throughout the literature, this book offers a unique and definitive review of some of the basic mathematical aspects of quantization and quantum field theory.
Many multiagent dynamics can be modeled as a stochastic process in which the agents in the system change their state over time in interaction with each other.
What does a probabilistic program actually compute? How can one formally reason about such probabilistic programs? This valuable guide covers such elementary questions and more.
First and foremost, I would like to acknowledge the influence that Helmut Friedrich had in the development of my understanding of the theory of the conformal Einstein field equations. He has been an inexhaustible source of knowledge and insights. I also would like to acknowledge the role that Robert Beig, Sergio Dain and Malcolm MacCallum have played in shaping complementary perspectives on t…