Groups and Manifolds is an introduction to the mathematics of symmetry with a variety of examples for physicists. It covers both classical symmetry as seen in crystallography as well as the mathematical concepts used in super-symmetric field theories. After a basic introduction of group theory, Lie algebras and a basic notion of differential geometry are discussed. Group-theoretical constructions are done using Mathematica.

Porous materials with ultrahigh surface area have become of great importance in the domains of energy storage and environmental remediation in recent years. The book is an excellent guide to the subject of porous polymers, connecting the topics on design, preparation, properties and chemical modification of these materials. In addition, the author gives an overview of the main applications of porous materias as well as their future prospectives.

The aim of this book is to provide a concise but complete introduction to the main mathematical tools of nonlinear functional analysis, which are also used in the study of concrete problems in economics, engineering, and physics. This volume gathers the mathematical background needed in order to conduct research or to deal with theoretical problems and applications using the tools of nonlinear functional analysis. Contents Basic Topology Measure Theory Basic Functional Analysis Banach Spaces of Functions and Measures Convex Functions – Nonsmooth Analysis Nonlinear Analysis

This introduction into the multidisciplinary area of optofluidics offers the necessary foundations in photonics, polymer physics and process analytics to students, engineers and researchers to enter the field. All basic ingredients of a polymer-based platform as a foundation for quick and compact solutions for chemical, biological and medical sensing and manipulation are developed.

Plasmons – quantized plasma oscillations at the interface of a metal and a dielectric allow for novel applications in sensing and micro-electronics. This graduate textbook introduces the required aspects of classical electrodynamics as well as basics of free electron plasmas. Further, the creation of polaritons due to plasmon interaction with light is discussed. Besides theory, computational methods for electrodynamics are introduced.

The book introduces the fundamentals of optical measurement mechanics, and discusses different types of interferometry, including (Digital) Holographic Interferometry, (Digital) Speckle Interferometry, Moiré Interferometry, Digital Image Correlation and Particle Image Velocimetry. It is an essential reference for graduate students, scientists and practitioners from both universities and research laboratories.

The book begins by introducing signals and systems, and then discusses Time-Domain analysis and Frequency-Domain analysis for Continuous-Time systems. It also covers Z-transform, state-space analysis and system synthesis. The author provides abundant examples and exercises to facilitate learning, preparing students for subsequent courses on circuit analysis and communication theory.

The book introduces the fundamentals (principle, structure, characteristics, classification etc.) of control systems. The dynamic behavior are also illustrated in detail. The authors also present the time/ frequency/stability/error response analyses of control system. This book is an essential reference for graduate students, scientists and practitioner in the research fields of mechanical and electrical engineering.

In contrast to other introductions to special relativity, this one aims at a conceptually clear presentation of the theory. While not shying away from the proper mathematics, an emphasis is placed on an easy understanding of the underlying concepts, rather than technical calulcations only. With an entertaining writing style, comic-like illustrations and instructive problems, this textbook makes the entry to special relativity a lot easier.