Handbook of Mathematics for Engineers and Scientists - (Malestro

"Handbook of Mathematics for Engineers and Scientists" by Andrei D. Polyanin, Alexander V. Manzhirov Сhарmаn & Нall/СRС, Таylor & Frаnсis Group | 2007 | ISBN: 1584885025 9781584885023 | 1543 pages | PDF The Handbook covers the main fields of mathematics and focuses on the methods used for obtaining solutions of various classes of mathematical equations that underlie the mathematical modeling of numerous phenomena and processes in science and technology. To accommodate different mathematical backgrounds, the preeminent authors outline the material in a simplified, schematic manner, avoiding special terminology wherever possible. This concise, comprehensive compendium of mathematical definitions, formulas, and theorems provides the foundation for exploring scientific and technological phenomena. • Presents a wealth of useful mathematical information, from elementary to advanced concepts • Describes formulas, methods, equations, and solutions that are frequently used in scientific and engineering applications • Covers classical as well as newer solution methods for various mathematical equations, such as algebraic, ordinary differential, partial differential, integral, difference, and functional • Contains many results in tabular form, including finite sums and series, indefinite and definite integrals, direct and inverse integral transforms, and exact solutions of differential, integral, and functional equations • Supplies numerous examples, graphs, figures, and diagrams to help with the understanding of the problems and methods discussed • Includes an extensive table of contents, special font highlighting, cross references, and a detailed index to help locate the desired information The first part is a coherent survey of the most important definitions, formulas, equations, methods, and theorems. It covers arithmetic, elementary and analytic geometry, algebra, differential and integral calculus, special functions, calculus of variations, and probability theory. The second part provides many in-depth mathematical tables, including those of exact solutions of various types of equations. CONTENTS Authors Preface Main Notation Part I. Definitions, Formulas, Methods, and Theorems 1. Arithmetic and Elementary Algebra 2. Elementary Functions 3. Elementary Geometry 4. Analytic Geometry 5. Algebra 6. Limits and Derivatives 7. Integrals 8. Series 9. Differential Geometry 10. Functions of Complex Variable 11. Integral Transforms 12. Ordinary Differential Equations 13. First-Order Partial Differential Equations 14. Linear Partial Differential Equations 15. Nonlinear Partial Differential Equations 16. Integral Equations 17. Difference Equations and Other Functional Equations 18. Special Functions and Their Properties 19. Calculus of Variations and Optimization 20. Probability Theory 21. Mathematical Statistics Part II. Mathematical Tables T1. Finite Sums and Infinite Series T2. Integrals T3. Integral Transforms T4. Orthogonal Curvilinear Systems of Coordinate T5. Ordinary Differential Equations T6. Systems of Ordinary Differential Equations T7. First-Order Partial Differential Equations T8. Linear Equations and Problems of Mathematical Physics T9. Nonlinear Mathematical Physics Equations T10. Systems of Partial Differential Equations T11. Integral Equations T12. Functional Equations Supplement. Some Useful ElectronicMathematical Resources Index

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