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Information > Mathematical Books > Handbook of Mathematics for Engineers and Scientists > Preface

Handbook of Mathematics for Engineers and Scientists

A. D. Polyanin and A. V. Manzhirov

Handbook of Mathematics for Engineers and Scientists

Publisher: Chapman & Hall/CRC Press
Publication Date: 27 November 2006
Number of Pages: 1544

Summary Features Preface Contents Index


This book can be viewed as a reasonably comprehensive compendium of mathematical definitions, formulas, and theorems intended for researchers, university teachers, engineers, and students of various backgrounds in mathematics. The absence of proofs and a concise presentation has permitted combining a substantial amount of reference material in a single volume.

When selecting the material, the authors have given a pronounced preference to practical aspects, namely, to formulas, methods, equations, and solutions that are most frequently used in scientific and engineering applications. Hence some abstract concepts and their corollaries are not contained in this book.

The material in the first part of the reference book can be roughly categorized into the following three groups according to meaning:

  1. The main text containing a concise, coherent survey of the most important definitions, formulas, equations, methods, and theorems.
  2. Numerous specific examples clarifying the essence of the topics and methods for solving problems and equations.
  3. Discussion of additional issues of interest, given in the form of remarks in small print.

For the reader's convenience, several long mathematical tables -- finite sums, series, indefinite and definite integrals, direct and inverse integral transforms (Laplace, Mellin, and Fourier transforms), and exact solutions of ordinary differential, partial differential, integral, functional, and other mathematical equations -- which contain a large amount of information, are presented in the second part of the book.

This handbook consists of chapters, sections, subsections, and paragraphs (the titles of the latter are not included in the table of contents). Figures and tables are numbered separately in each section, while formulas (equations) and examples are numbered separately in each subsection. When citing a formula, we use notation like (, which means formula 5 in Subsection 3.1.2. At the end of each chapter, we present a list of main and additional literature sources containing more detailed information about topics of interest to the reader.

Special font highlighting in the text, cross-references, an extensive table of contents, and a detailed index help the reader to find the desired information.

We would like to express our deep gratitude to Alexei Zhurov for fruitful discussions and valuable remarks. We also appreciate the help of Vladimir Nazaikinskii and Grigorii Yosifian for translating several chapters of this book and are thankful to Kirill Kazakov and Mikhail Mikhin for their assistance in preparing the camera-ready copy of the book.

The authors hope that this book will be helpful for a wide range of scientists, university teachers, engineers, and students engaged in the fields of mathematics, physics, mechanics, control, chemistry, biology, engineering sciences, and social and economical sciences. Some sections and examples can be used in lectures and practical studies in basic and special mathematical courses.

Andrei D. Polyanin
Alexander V. Manzhirov

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