Mathematics Handbook for Science and Engineering

Mathematics Handbook for Science and Engineering is a comprehensive handbook for scientists, engineers, teachers and students at universities. The book presents in a lucid and accessible form classical areas of mathematics like algebra, geometry and analysis and also areas of currents interest like discrete mathematics, probability, statistics, optimization, computer science and numerical analysis. It concentrates on definitions, results, formulas, graphs and tables and emphazises concepts and methods with applications in technology and science.

This is the fourth edition of a successful, comprehensive handbook for scientists, engineers, and students. The handbook presents, in a lucid and accessible manner, classical areas such as algebra, geometry and analysis, as well as current research areas such as discrete mathematics, optimization, computer science and numerical analysis. It includes definitions, results, formulas, graphs, and tables, while emphasizing concepts and methods with applications in technology and science.

From the reviews of the fifth edition:

"This student handbook covers the basic areas of mathematics, numerical analysis, probability . It concentrates on definitions, results emphasising the concepts and methods with applications in technology and science. This new edition has new sections on optimisation and fractals." (Book News on the Internet, January, 2005)

"The principal aim of this book is to provide useful information in a lucid and accessible form on some basic topics of mathematics, such as numerical analysis . Thus, the book will be of interest to students and teachers of mathematics, science and engineering . This is an excellent book being very carefully prepared and presented. The reviewer warmly recommends it to all those interested in the study of mathematics and to apply it for solving modern practical problems." (Ioan Pop, Journal of Applied Statistics, Vol. 32 (1), 2004)

"This well-known and very useful handbook presents in a very accessible form classical areas of mathematics and also areas of current interest . A 'must' not only for libraries but also for scientists, engineers, teachers and students at universities." (Olaf Ninnemann, Zentralblatt MATH, Vol. 1094 (20), 2006)

"As usual from Springer, this is a beautifully produced book, sturdily bound in their usual blue and yellow and nicely printed, sitting comfortably in the hand and opening neatly to any page. Leafing through the book made me itch to get a pencil and paper and start playing with the mathematics. Above all useful, but also comforting, exciting and challenging, this is a book I wholeheartedly recommend to anyone with a penchant for applicable mathematics." (Peter Macgregor, The Mathematical Gazette, Vol. 89 (516), 2005)

"This is the fifth edition of this mathematics handbook, a book which covers all the basic areas of mathematics, numerical analysis, probability and statistics, and theirvarious applications. this volume may be of interest to undergraduate students or those research scientists or engineers who are allergic to modern computerized methods of doing mathematics. The book is well produced and will surely withstand use over many years and the price seems reasonable for such a large book." (André Hautot, Physicalia Magazine, Vol. 28 (1), 2006)

Résumé

Mathematics Handbook for Science and Engineering is a comprehensive handbook for scientists, engineers, teachers and students at universities. The book presents in a lucid and accessible form classical areas of mathematics like algebra, geometry and analysis and also areas of current interest like discrete mathematics, probability, statistics, optimization and numerical analysis. It concentrates on definitions, results, formulas, graphs and tables and emphasizes concepts and methods with applications in technology and science.

For the fifth edition the chapter on Optimization has been enlarged and the chapters on Probability Theory and Statstics have been carefully revised.

Contenu
1 Fundamentals. Discrete Mathematics.- 2 Algebra.- 3 Geometry and Trigonometry.- 4 Linear Algebra.- 5 The Elementary Functions.- 6 Differential Calculus (one variable).- 7 Integral Calculus.- 8 Sequences and Series.- 9 Ordinary Differential Equations (ODE).- 10 Multidimensional Calculus.- 11 Vector Analysis.- 12 Orthogonal Series and Special Functions.- 13 Transforms.- 14 Complex Analysis.- 15 Optimization.- 16 Numerical Analysis.- 17 Probability Theory.- 18 Statistics.- 19 Miscellaneous.- Glossary of functions.- Glossary of symbols.