Hung T. Nguyen, Carol L. Walker, Elbert A. Walker

A First Course in Fuzzy Logic, 4th Edition

Hardback
November 28, 2018 Forthcoming
Textbook - 448 Pages - 36 B/W Illustrations
ISBN 9781138585089 - CAT# K377056
Series: Textbooks in Mathematics

Description

A First Course in Fuzzy Logic, Fourth Edition is an expanded version of the successful third edition. It provides a comprehensive introduction to the theory and applications of fuzzy logic.

This popular text offers a firm mathematical basis for the calculus of fuzzy concepts necessary for designing intelligent systems and a solid background for readers to pursue further studies and real-world applications.

New in the Fourth Edition:

Features new results on fuzzy sets of type-2
Provides more information on copulas for modeling dependence structures
Includes quantum probability for uncertainty modeling in social sciences, especially in economics
With its comprehensive updates, this new edition presents all the background necessary for students, instructors and professionals to begin using fuzzy logic in its many?applications in computer science, mathematics, statistics, and engineering.

Table of contents

Kam Tim Chau

Differential Equations in Engineering and Mechanics:
2 volume set -- Theory and Applications

Paperback
December 30, 2018 Forthcoming
Reference - 1790 Pages
ISBN 9780367112301 - CAT# K407193

Description

These two volumes give comprehensive coverage of the essential differential equations students they are likely to encounter in solving engineering and mechanics problems. They cover a very broad range of theories related to solving differential equations, mathematical preliminaries, ODE (n-th order and system of 1st order ODE in matrix form), PDE (1st order, 2nd, and higher order including wave, diffusion, potential, biharmonic equations and more). Plus rarer material such as Greenfs function, integrodifferential equations, asymptotic expansion and perturbation, calculus of variations, variational principles, finite difference method. And then a very broad range of problems, including beams and columns, plates, shells, structural dynamics, catenary and cable suspension bridge, nonlinear buckling, transports and waves in fluids, geophysical fluid flows, nonlinear waves and solitons, Maxwell equations, Schrodinger equations, celestial mechanics and fracture mechanics and dynamics. The focus is on the mathematical technique for solving the differential equations involved.

Table of contents

Kam Tim Chau

Applications of Differential Equations in Engineering and Mechanics

Paperback
Hardback
December 14, 2018 Forthcoming
Reference - 805 Pages - 293 B/W Illustrations
ISBN 9780367026431 - CAT# K405003

Description

This second of two comprehensive reference texts on differential equations continues coverage of the essential material students they are likely to encounter in solving engineering and mechanics problems across the field - alongside a preliminary volume on theory.

This book covers a very broad range of problems, including beams and columns, plates, shells, structural dynamics, catenary and cable suspension bridge, nonlinear buckling, transports and waves in fluids, geophysical fluid flows, nonlinear waves and solitons, Maxwell equations, Schrodinger equations, celestial mechanics and fracture mechanics and dynamics. The focus is on the mathematical technique for solving the differential equations involved.

All readers who are concerned with and interested in engineering mechanics problems, climate change, and nanotechnology will find topics covered in this book providing valuable information and mathematics background for their multi-disciplinary research and education.

Table of contents

heory of Beams and Columns. Theory of Plates. Theory of Shells. Structural Dynamics. Catenary and Cable Suspension Bridges. Nonlinear Buckling. Transports and Waves in Fluids. Geophysical Fluid Flows. Nonlinear Waves and Solitons. Mathematical Theory for Maxwell Equations. Quantum Mechanics and Schrodinger Equation. Celestial Mechanics. Fracture Mechanics and Dynamics.

Eberhard Malkowsky, Vladimir Rakoevi

Advanced Functional Analysis

Hardback
February 11, 2019 Forthcoming
Textbook - 446 Pages
ISBN 9781138337152 - CAT# K393790

Description

Functional analysis and operator theory are widely used in the description, understanding and control of dynamical systems and natural processes in physics, chemistry, medicine and the engineering sciences. Advanced Functional Analysis is a self-contained and comprehensive reference for advanced functional analysis and can serve as a guide for related research. The book can be used as a textbook in advanced functional analysis, which is a modern and important field in mathematics, for graduate and postgraduate courses and seminars at universities. At the same time, it enables the interested readers to do their own research.

Table of Contents

Fundamentals of Linear and Topological Spaces
Linear Topological Spaces
Linear Metric Spaces
Banach Spaces
Hilbert Spaces
Banach Algebras
Measures of Noncompactness
Fredholm Theory
Sequence Spaces
Fixed Point Theo
ry

Luis Manuel Braga da Costa Campos

Classification and Examples of Differential Equations and their Applications

Hardback
May 1, 2019 Forthcoming
Reference - 272 Pages - 10 B/W Illustrations
ISBN 9780367137243 - CAT# K409910
Series: Mathematics and Physics for Science and Technology

Description

The sixth book of Ordinary Differential Equations with Applications to Trajectories and Vibrations,
Six-Volume Set, contains 20 sets of detailed examples of the various types of differential
equations in earlier tomes and their application to physical and engineering problems. It includes
a classification of differential equations into 500 standards that can serve as a look-up table to
find the method of solution of a differential equation with examples and related properties. A
second recollection lists 500 physical and engineering
problems involving the solution of differential equations.

Table of Contents

1. Examples 1 to 20. 2. Recollections. 3. 500 Standards of Differential equations and 500
Apllications. 4. Back Matter ? Indices
and Bibliography

Luis Manuel Braga da Costa Campos

Simultaneous Systems of Differential Equations and Multi-dimensional Oscillators

Hardback
May 1, 2019 Forthcoming
Reference - 344 Pages - 34 B/W Illustrations
ISBN 9780367137212 - CAT# K409907
Series: Mathematics and Physics for Science and Technology

Description

This fourth book of Ordinary Differential Equations with Applications to Trajectories and
Vibrations, Six-Volume Set, extends the methods of the first three books from a single ordinary
differential equation to a simultaneous system. The application is made to temporal dependence of
multi-dimensional oscillators with several interrelated degrees-of-freedom in the presence of
damping and forcing leading for example to multiple resonances. The solution of the general partial
differential equations of mathematical physics is also considered by separation of variables
leading to ordinary differential equations, some of which relate to special functions.

Table of Contents

Simultaneous Systems of Differential Equations. 2. Oscillations with Several Degrees-of-Freedom.