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Handbook of mathematics for engineers and scientists
Mathematics for engineers and scientists
Manzhirov, A. V. (Aleksandr Vladimirovich)
Covering the main fields of mathematics, this handbook 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. The authors describe formulas, methods, equations, and solutions that are frequently used in scientific and engineering applications and present classical as well as newer solution methods for various mathematical equations. The book supplies numerous examples, graphs, figures, and diagrams and contains many results in tabular form, including.
Front cover; Contents; Authors; Preface; Main Notation; Chapter 1. Arithmetic and Elementary Algebra; Chapter 2. Elementary Functions; Chapter 3. Elementary Geometry; Chapter 4. Analytic Geometry; Chapter 5. Algebra; Chapter 6. Limits and Derivatives; Chapter 7. Integrals; Chapter 8. Series; Chapter 9. Differential Geometry; Chapter 10. Functions of Complex Variable; Chapter 11. Integral Transforms; Chapter 12. Ordinary Differential Equations; Chapter 13. First-Order Partial Differential Equations; Chapter 14. Linear Partial Differential Equations
Chapter 15. Nonlinear Partial Differential EquationsChapter 16. Integral Equations; Chapter 17. Difference Equations and Other Functional Equations; Chapter 18. Special Functions and Their Properties; Chapter 19. Calculus of Variations and Optimization; Chapter 20. Probability Theory; Chapter 21. Mathematical Statistics; Chapter T1. Finite Sums and Infinite Series; Chapter T2. Integrals; Chapter T3. Integral Transforms; Chapter T4. Orthogonal Curvilinear Systems of Coordinate; Chapter T5. Ordinary Differential Equations; Chapter T6. Systems of Ordinary Differential Equations
Chapter T7. First-Order Partial Differential EquationsChapter T8. Linear Equations and Problems of Mathematical Physics; Chapter T9. Nonlinear Mathematical Physics Equations; Chapter T10. Systems of Partial Differential Equations; Chapter T11. Integral Equations; Chapter T12. Functional Equations; Supplement. Some Useful Electronic Mathematical Resources; Back cover
Andrei D. Polyanin, Alexander V. Manzhirov.
Description based upon print version of record.
Includes bibliographical references and index.