Raphael T. Alencar's Books

Set, Measure and Probability Theory

By: Marcelo S. Alencar,Raphael T. Alencar

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Set, Measure and Probability Theory

By: Marcelo S. Alencar,Raphael T. Alencar

This book introduces the basic concepts of set theory, measure theory, the axiomatic theory of probability, random variables and multidimensional random variables, functions of random variables, convergence theorems, laws of large numbers, and fundamental inequalities. The idea is to present a seamless connection between the more abstract advanced set theory, the fundamental concepts from measure theory, and integration, to introduce the axiomatic theory of probability, filling in the gaps from previous books and leading to an interesting, robust and, hopefully, self-contained exposition of the theory. This book also presents an account of the historical evolution of probability theory as a mathematical discipline. Each chapter presents a short biography of the important scientists who helped develop the subject. Appendices include Fourier transforms in one and two dimensions, important formulas and inequalities and commented bibliography. Many examples, illustrations and graphics help the reader understand the theory.

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Page Count

303

Publisher

CRC Press

Published Date

ISBN 10

1003808956

ISBN 13

9781003808954

Probability Theory

By: Marcelo Sampaio de Alencar,Raphael Tavares de Alencar

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Probability Theory

By: Marcelo Sampaio de Alencar,Raphael Tavares de Alencar

Probability Theory is a classic topic in any course of exact sciences, that evolved from the amalgamation of different areas of mathematics, including set and measure theory. An axiomatic treatment of probability is presented in the book. Probability Theory is fundamental to several areas of knowledge, including engineering, computer science, mathematics, physics, sciences, economics, biology, medicine, social sciences and social communication. The book targets graduate students who may not have taken basic courses in these specific topics, and can provide a quick and concise way to obtain the knowledge they need to succeed in advanced courses.

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Page Count

157

Publisher

Momentum Press

Published Date

ISBN 10

1606507486

ISBN 13

9781606507483

Linear Electronics

By: Marcelo Sampaio de Alencar,Raphael Tavares de Alencar,Raissa Bezerra Rocha,Ana Isabela Cunha

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Linear Electronics

By: Marcelo Sampaio de Alencar,Raphael Tavares de Alencar,Raissa Bezerra Rocha,Ana Isabela Cunha

A considerable amount of effort has been devoted, both in industry and academia, towards the design, performance, analysis and evaluation of amplification schemes and filters to be used in control systems, audio/video equipment, instrumentation and communication systems. This book is intended to serve as a complementary textbook for courses dealing with Linear Amplification, but also as a professional book, for engineers who need to update their knowledge in the electronics, control, and communications areas. The book is suitable for the undergraduate as well as the initial graduate levels of Electrical Engineering courses and is useful for the professional who wants to review or get acquainted with amplification theory. The book presents essential concepts in plain language and covers the most important applications of amplifier circuits. The book has four appendices, an appendix to detail the operational amplifier model, an appendix with specification data sheets, an appendix on Fourier transform and signal spectrum, including the concepts of convolution, autocorrelation and power spectral density, for deterministic signals, and a final one that presents and explains the usual electronics acronyms.

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Page Count

285

Publisher

CRC Press

Published Date

ISBN 10

1000794504

ISBN 13

9781000794502

Book's by Raphael T. Alencar

Set, Measure and Probability Theory

Set, Measure and Probability Theory

Probability Theory

Probability Theory

Linear Electronics

Linear Electronics

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