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Advanced Mathematics for Engineers with Applications in Stochastic Processes
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Authors: Aliakbar Montazer Haghighi, Jian-ao Lian, Dimitar P. Mishev (Prairie View A&M Univ., Prairie View, Texas) 
Book Description:
Topics in advanced mathematics for engineers, probability and statistics typically span three subject areas, are addressed in three separate textbooks and taught in three different courses in as many as three semesters. Due to this arrangement, students taking these courses have had to shelf some important and fundamental engineering courses until much later than is necessary. This practice has generally ignored some striking relations that exist between the seemingly separate areas of statistical concepts, such as moments and estimation of Poisson distribution parameters. On one hand, these concepts commonly appear in stochastic processes - for instance, in measures on effectiveness in queuing models. On the other hand, they can also be viewed as applied probability in engineering disciplines íV mechanical, chemical, and electrical, as well as in engineering technology. There is obviously, an urgent need for a textbook that recognizes the corresponding relationships between the various areas and a matching cohesive course that will see through to their fundamental engineering courses as early as possible. This book is designed to achieve just that. Its seven chapters, while retaining their individual integrity, flow from selected topics in advanced mathematics such as complex analysis and wavelets to probability, statistics and stochastic processes.

Table of Contents:
Preface pp. i-xiii

Chapter 1. Introduction, pp. 1-46

Chapter 2. Fourier and Wavelet Analysis, pp. 47-100

Chapter 3. Laplace Transform, pp. 101-119

Chapter 4. Probability, pp. 121-248

Chapter 5. Statistics, pp. 249-385

Chapter 6. Difference and Differential-difference Equations (DDE), pp. 387-426

Chapter 7. Stochastic Processes, pp. 427-513

Appendices (Distribution Tables) pp.515-534

References pp.535-542

Answers To selected Exercise pp.543-546

Index pp.547-552

   Series:
      Mathematics Research Developments
   Binding: Hardcover
   Pub. Date: 2010
   Pages: 565, 7 x 10
   ISBN: 978-1-60876-880-6
   Status: AV
  
Status Code Description
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Advanced Mathematics for Engineers with Applications in Stochastic Processes