The Table of Integrals, Series, and Products is the major reference source for integrals in the English language.It is designed for use by mathematicians, scientists, and professional engineers who need to solve complex mathematical problems.*Completely reset edition of Gradshteyn and Ryzhik reference book*New entries and sections kept in orginal numbering system with an expanded bibliography*Enlargement of material on orthogonal polynomials, theta functions, Laplace and Fourier transform pairs and much more.

Senegal's fiscal deficit and public debt have been on the rise in recent years owing partly to an ailing and inefficient oil-based energy sector. In this paper we use a two-sector, open-economy, dynamic general equilibrium model to investigate the effects of varying fiscal policy instruments one at a time and of policy packages that increase public investment in energy and infrastructure in scenarios with varying degrees of debt finance and with different types of supporting fiscal adjustment. Lowering the fiscal deficit by raising taxes and cutting government expenditure has adverse effects on growth, real wages and the supply of public services. Senegal does not need, however, to undertake such difficult fiscal adjustment. A public investment program that coordinates new investment in low-cost hydroelectric, coal or gas-fired power with a phased contraction of the oil-based sector raises the total supply of energy by 70 percent, increases real wages and real GDP, stimulates private investment, and significantly reduces the fiscal deficit in the medium long term. More aggressive investment programs borrow against future fiscal gains to combine new energy investments with either delayed or frontloaded investments in non-energy infrastructure. These programs lead to much higher real wages and real GDP while keeping public debt sustainable and the fiscal deficit low in the medium and long term.

The updated Handbook is an essential reference for researchers and students in applied mathematics, engineering, and physics. It provides quick access to important formulas, relations, and methods from algebra, trigonometric and exponential functions, combinatorics, probability, matrix theory, calculus and vector calculus, ordinary and partial differential equations, Fourier series, orthogonal polynomials, and Laplace transforms. Many of the entries are based upon the updated sixth edition of Gradshteyn and Ryzhik's Table of Integrals, Series, and Products and other important reference works. The Third Edition has new chapters covering solutions of elliptic, parabolic and hyperbolic equations and qualitative properties of the heat and Laplace equation. - Comprehensive coverage of frequently used integrals, functions and fundamental mathematical results - Contents selected and organized to suit the needs of students, scientists, and engineers - Contains tables of Laplace and Fourier transform pairs - New section on numerical approximation - New section on the z-transform - Easy reference system