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Handbook of Mathematical Formulas and Integrals ,ISBN 9780123742889

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Handbook of Mathematical Formulas and Integrals ,ISBN 9780123742889, Copyright : 4th /2008, Authors: Alan Jeffrey Hui Dai, Paperback , 592 Page
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  • หมวดหมู่ : ตัวแปรเชิงซ้อน-Complex Variable
  • รหัสสินค้า : 001617

รายละเอียดสินค้า Handbook of Mathematical Formulas and Integrals ,ISBN 9780123742889

Description :

The extensive additions, and the inclusion of a new chapter, has made this classic work by Jeffrey, now joined by co-author Dr. H.H. Dai, an even more essential reference for researchers and students in applied mathematics, engineering, and physics. It provides quick access to important formulas, relationships between functions, and mathematical techniques that range from matrix theory and integrals of commonly occurring functions to vector calculus, ordinary and partial differential equations, special functions, Fourier series, orthogonal polynomials, and Laplace and Fourier transforms. During the preparation of this edition full advantage was taken of the recently updated seventh edition of Gradshteyn and Ryzhik’s Table of Integrals, Series, and Products and other important reference works. Suggestions from users of the third edition of the Handbook have resulted in the expansion of many sections, and because of the relevance to boundary value problems for the Laplace equation in the plane, a new chapter on conformal mapping, has been added, complete with an atlas of useful mappings.

Table of Contents :

            Notes for handbook users          

            Index of special functions and notations   

            Quick reference list of frequently used data         

1          Numerical, algebraic, and analytical results for series and calculus

2          Functions and identities  

3          Derivatives of elementary functions        

4          Indefinite integrals of algebraic functions 

5          Indefinite integrals of exponential functions          

6          Indefinite integrals of logarithmic functions          

7          Indefinite integrals of hyperbolic functions           

8          Indefinite integrals involving inverse hyperbolic functions  

9          Indefinite integrals of trigonometric functions       

10         Indefinite integrals of inverse trigonometric functions       

11         The gamma, beta, pi, and psi functions, and the incomplete functions        

12         Elliptic integrals and functions     

13         Probability distributions and integrals, and the error function         

14         Fresnel integrals, sine and cosine integrals          

15         Definite integrals           

16         Different forms of Fourier series 

17         Bessel functions

18         Orthogonal polynomials 

19         Laplace transformation  

20         Fourier transforms        

21         Numerical integration    

22         Solutions of standard ordinary differential equations         

23         Vector analysis 

24         Systems of orthogonal coordinates          

25         Partial differential equations and special functions

26         Qualitative properties of the Heat and Laplace equation    

27         Solutions of elliptic, parabolic, and hyperbolic equations    

28         The z-transform

29         Numerical approximation           

30         Conformal mapping and boundary value problems           

            Short classified reference list      

            Index

สินค้าที่เกี่ยวข้อง Handbook of Mathematical Formulas and Integrals ,ISBN 9780123742889