Here is a book providing the mathematical tools for a large range of researchers, more precisely for future researchers. First, we remark that the involved range is quite new, since many books give mathematical tools for signal processing, for communications or for networking. But this volume gives the tools for all three domains. In this way, a large group of students and researchers is addressed. Therefore the diversity of the subjects is larger.
To have an idea of the included topics, we give the book’s Contents: List of figures; List of tables; Preface; Editors; List of contributors; List of acronyms; Notations and symbols; 1 Introduction; 2 “Signal processing transforms” (pp. 5–33) by Serhan Yarkan and Khalid A. Qaraqe; 3 “Linear algebra” (pp. 35–92) by Fatemeh Hamidi Sepehr and Erchin Serpedin; 4 “Elements of Galois fields” (pp. 93–115) by Tolga Duman; 5 “Numerical analysis” (pp. 117–158) by Vivek Sarin; 6 “Combinatorics” (pp. 159–203) by Walter D. Wallis; 7 “Probability, random variables, and stochastic processes” (pp. 205–244) by Dinesh Rajan; 8 “Random matrix theory” (pp. 245–293) by Romain Couillet and Merouane Debbah; 9 “Large deviations” (pp. 295–315) by Hongbin Li; 10 “Fundamentals of estimation theory” (pp. 317–367) by Yik-Chung Wu; 11 “Fundamentals of detection theory” (pp. 369–410) by Venugopal V. Veeravalli; 12 “Monte Carlo methods for statistical signal processing” (pp. 411–441) by Xiaodong Wang; 13 “Factor graphs and message passing algorithms” (pp. 443–486) by Aitzaz Ahmad, Erchin Serpedin and Khalid A. Qaraqe; 14 “Unconstrained and constrained optimization problems” (pp. 487–517) by Shuguang Cui, Anthony Man-Cho So and Rui Zhang; 15 “Linear programming and mixed integer programming” (pp. 519–560) by Bogdan Dumitrescu; 16 “Majorization theory and applications” (pp. 561–598) by Jiaheng Wang and Daniel Palomar; 17 “Queueing theory” (pp. 599–626) by Thomas Chen; 18 “Network optimization techniques” (pp. 627–690) by Michał Pióro; 19 “Game theory” (pp. 691–735) by Erik G. Larsson and Eduard Jorswieck; 20 “A short course on frame theory” (pp. 737–789) by Veniamin I. Morgenshtern and Helmut Bölcskei; Index.
Secondly, the chapters are written by well-known active workers in the domain. Each chapter is organized as follows: Theory; Conclusions and further reading; Exercises and references. Some of the results are given with proofs, for others a precise reference is quoted. The included examples are interesting and suggestive. The proposed exercises are accessible to researchers with a solid mathematical background. The authors propose their book not only as a text for self-study but also as possible material for teaching. To this end, a manual with solutions is in preparation (as the authors say in the preface). The book will be helpful for students and researchers to be acquainted with the recent trends in the areas included in the book. We think we are faced with an excellent book that will soon become a standard reference in the respective areas.