Stochastic Processes: Theory, Examples & Exercises is an introductory textbook to a central and active field of Mathematics with applications in Engineering, Economics, and Management Science.
It starts with an overview of the field and a detailed account of the concept of stochastic process. Following this, the text delves into Poisson processes, renewal processes, and Markov chains in discrete and continuous time.
The author aims to explain the theory very clearly and show how it can be applied to solve concrete problems.
A critical and unique feature of this well-written book is the structure of its exercises. They are embedded in the main text and have spaces to fill. This feature helps the students to stop and reflect on what they have just read and encourages them to become active during the educational process.
This “workbook” is mathematically accurate yet avoids unnecessary mathematical sophistication, making it suitable for undergraduate and graduate students in Mathematics, Computer Science, Engineering, and Management. Antonis Economou Professor, Mathematics National and Kapodistrian University of Athens | Greece
“A caminho de Oeiras, depois de uma breve estadia no Alentejo, recebi o convite para assistir à apresentação do seu livro, e quando cheguei a casa lá estava ele na caixa do correio.
Ansioso e curioso, corri para o capítulo 0 para tentar perceber a estrutura da obra e saborear o estilo do texto.
E vi muito do que se espera ver num livro desta natureza, mas também vi novidades e diferenças: os exemplos para despertar, o uso das ideias e conceitos em aplicações práticas, os exercícios motivadores, os quizzes, as notas, o cuidado em antecipar referências detalhadamente e uma forte mensagem de preocupação pedagógica e didática (involve me and I learn, já visto no seu livro de Probabilidades e Estatística).
Manuel João, o seu livro revela um trabalho colossal ao longo de anos de sonho, de força de vontade e de atividade.
O rigor para que se fale verdade e a preocupação em facilitar a transmissão dessa verdade são duas características marcantes que eu noto, depois da breve análise do capítulo 0.
Só posso dar-lhe os meus parabéns e desejar que continue a sua caminhada e seja feliz ao longo do percurso.
Eu estou orgulhoso por ter sido meu aluno.”
Excertos de uma mensagem do Prof. João Branco,
Professor Associado jubilado do Departamento de Matemática do IST
& Prémio Carreira 2023 da Sociedade Portuguesa de Estatística
____________
“On my way to Oeiras, after a short stay in Alentejo, I received an invitation to attend the launch of your book, and when I got home it was in my letterbox.
Eager and curious, I rushed to chapter 0 to understand the work’s structure and savor the text’s style.
And I saw a lot of what one would expect to see in a book of this nature. Still, I also saw new and different things: the examples to stimulate the students, the use of ideas and concepts in practical applications, the motivating exercises, quizzes, and notes, the care in anticipating references in detail, and a strong message of pedagogical and didactic concern (involve me and I learn, already seen in your “Probability and Statistics” book).
Manuel João, your book reveals a colossal amount of work over years of dreams, willpower, and activity.
The rigor in speaking the truth and the concern to facilitate the transmission of this truth are two striking characteristics that I notice, after the brief analysis of chapter 0.
I can only congratulate you and hope you continue your journey and are happy along the way.
I am proud that you were my student.”
English translation of some excerpts from a message written by Professor João Branco,
Emeritus Associate Professor of the Mathematics Department at IST
& Winner of the SPE (Portuguese Statistical Society) Career Award in 2023
