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....

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 m...

This book is written to meet the needs of undergraduates in applied mathematics, physics and engineering studying partial differential equations. It is a more modern, comprehensive treatment intended for students who need more than the purely numerical solutions provided by programs like the MATLAB PDE Toolbox, and those obtained by the method of separation of variables, which is usually the only theoretical approach found in the majority of elementary textbooks.

This will fill a need in the market for a more modern text for future working engineers, and one that students can read and...

This book is written to meet the needs of undergraduates in applied mathematics, physics and engineering studying partial differential equations. It i...

The method of compensated compactness as a technique for studying hyperbolic conservation laws is of fundamental importance in many branches of applied mathematics. Until now, however, most accounts of this method have been confined to research papers. Offering the first comprehensive treatment, Hyperbolic Conservation Laws and the Compensated Compactness Method gathers together into a single volume the essential ideas and developments. The authors begin with the fundamental theorems, then consider the Cauchy problem of the scalar equation, build a framework for L8 estimates of viscosity...

The method of compensated compactness as a technique for studying hyperbolic conservation laws is of fundamental importance in many branches of applie...

Since its original publication in 1969, Mathematics for Engineers and Scientists has built a solid foundation in mathematics for legions of undergraduate science and engineering students. It continues to do so, but as the influence of computers has grown and syllabi have evolved, once again the time has come for a new edition. Thoroughly revised to meet the needs of today's curricula, Mathematics for Engineers and Scientists, Sixth Edition covers all of the topics typically introduced to first- or second-year engineering students, from number systems, functions, and vectors to series,...

Since its original publication in 1969, Mathematics for Engineers and Scientists has built a solid foundation in mathematics for legions of undergradu...

This popular self-study/supplementary textbook covers in detail all mathematical requirements common to first year engineering students of every discipline. Thoroughly revised for the second edition, the book provides more worked examples and exercises, and more material on numerical computation and gives extensive problem sets at the end of each chapter. It is organized into short sections specific to certain topics, which allows students to identify subjects of interest that they can study separately, with little background reading. The author provides numerous worked examples throughout...

This popular self-study/supplementary textbook covers in detail all mathematical requirements common to first year engineering students of every disci...

Complex Analysis and Applications, Second Edition explains complex analysis, the geometrical interpretation of complex analysis, and its application to Dirichlet and Neumann boundary value problems. A discussion of complex analysis now forms the first three chapters of the book, with a description of conformal mapping and its application to boundary value problems for the two-dimensional Laplace equation forming the final two chapters. This new structure enables students to study theory and applications separately, as needed. In order to maintain brevity and clarity, the text limits the...

Complex Analysis and Applications, Second Edition explains complex analysis, the geometrical interpretation of complex analysis, and its application t...

Stochastic differential equations in infinite dimensional spaces are motivated by the theory and analysis of stochastic processes and by applications such as stochastic control, population biology, and turbulence, where the analysis and control of such systems involves investigating their stability. While the theory of such equations is well established, the study of their stability properties has grown rapidly only in the past 20 years, and most results have remained scattered in journals and conference proceedings. This book offers a systematic presentation of the modern theory of the...

Stochastic differential equations in infinite dimensional spaces are motivated by the theory and analysis of stochastic processes and by applications ...