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Applied Calculus of Variations for Engineers
Applied Calculus of Variations for Engineers

The subject of calculus of variations is to find optimal solutions to engineering problems where the optimum may be a certain quantity, a shape, or a function. Applied Calculus of Variations for Engineers addresses this very important mathematical area applicable to many engineering disciplines. Its unique,...

Dynamic Programming for Impulse Feedback and Fast Controls: The Linear Systems Case (Lecture Notes in Control and Information Sciences)
Dynamic Programming for Impulse Feedback and Fast Controls: The Linear Systems Case (Lecture Notes in Control and Information Sciences)
Dynamic Programming for Impulse Feedback and Fast Controls offers a description of feedback control in the class of impulsive inputs. This book deals with the problem of closed-loop impulse control based on generalization of dynamic programming techniques in the form of variational inequalities of the...
An Analytical Mechanics Framework for Flow-Oscillator Modeling of Vortex-Induced Bluff-Body Oscillations (Solid Mechanics and Its Applications)
An Analytical Mechanics Framework for Flow-Oscillator Modeling of Vortex-Induced Bluff-Body Oscillations (Solid Mechanics and Its Applications)
This self-contained book provides an introduction to the flow-oscillator modeling of vortex-induced bluff-body oscillations. One of the great challenges in engineering science also happens to be one of engineering design – the modeling, analysis and design of vibrating structures driven by fluid motion.  

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The Theory of Composites
The Theory of Composites
"...there existed no book or review paper that would allow a newcomer to get a general knowledge of the state of the art. The book of Graeme Milton fills this gap, and it does the job in a splendid manner that will make it the reference book on composite materials for a long time." Mathematical Reviews

The theory
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Probability, Statistical Optics and Data Testing (Springer Series in Information Sciences)
Probability, Statistical Optics and Data Testing (Springer Series in Information Sciences)
Scientists in optics are increasingly confronted with problems that are of a random nature and that require a working knowledge of probability and statistics for their solution. This textbook develops these subjects within the context of optics using a problem-solving approach. All methods are explicitly derived and can be traced back to three...
Information Theory, Inference and Learning Algorithms
Information Theory, Inference and Learning Algorithms
"...a valuable reference...enjoyable and highly useful." American Scientist

"...an impressive book, intended as a class text on the subject of the title but having the character and robustness of a focused encyclopedia. The presentation is finely detailed, well documented, and stocked with artistic flourishes."
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Statistical Performance Analysis and Modeling Techniques for Nanometer VLSI Designs
Statistical Performance Analysis and Modeling Techniques for Nanometer VLSI Designs
As VLSI technology scales into nanometer regime, chip design engineering faces several challenges. One profound change in the chip design business is that engineers cannot realize the design precisely into the silicon chips. Chip performance, manufacture yield, and lifetime thereby cannot be determined accurately at the design...
Mathematical Models in Contact Mechanics (London Mathematical Society Lecture Note Series)
Mathematical Models in Contact Mechanics (London Mathematical Society Lecture Note Series)

This text provides a complete introduction to the theory of variational inequalities with emphasis on contact mechanics. It covers existence, uniqueness and convergence results for variational inequalities, including the modelling and variational analysis of specific frictional contact problems with elastic, viscoelastic and viscoplastic...

A Variational Approach to Fracture and Other Inelastic Phenomena
A Variational Approach to Fracture and Other Inelastic Phenomena

This book exposes a number of mathematical models for fracture of growing difficulty. All models are treated in a unified way, based on incremental energy minimization. They differ from each other by the assumptions made on the inelastic part of the total energy, here called the "cohesive energy". Each model describes a specific...

Micromechanics of Fracture in Generalized Spaces
Micromechanics of Fracture in Generalized Spaces

By the detailed analysis of the modern development of the mechanics of deformable media can be found the deep internal contradiction. From the one hand it is declared that the deformation and fracture are the hierarchical processes which are linked and unite several structural and scale levels. From the other hand the sequential investigation of...

Convex Analysis and Nonlinear Optimization: Theory and Examples (CMS Books in Mathematics)
Convex Analysis and Nonlinear Optimization: Theory and Examples (CMS Books in Mathematics)
MATHEMATICAL REVIEWS

"The present book gives a concise treatment of the area, aiming to show the relevance in particular of new developments in nonsmooth analysis to optimization theory…The book is of a manageable size and as such should appeal to the student. Further, the proofs are generally short and snappy, revealing the power...

Optimal Quadratic Programming Algorithms: With Applications to Variational Inequalities
Optimal Quadratic Programming Algorithms: With Applications to Variational Inequalities

Quadratic programming (QP) is one advanced mathematical technique that allows for the optimization of a quadratic function in several variables in the presence of linear constraints. This book presents recently developed algorithms for solving large QP problems and focuses on algorithms which are, in a sense optimal, i.e., they can solve...

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