Reflection groups and invariant theory is a branch of mathematics that lies at the intersection between geometry and algebra. The book contains a deep and elegant theory, evolved from various graduate courses given by the author over the past 10 years.

This book deals with the reflection of electromagnetic and particle waves by interfaces. The interfaces can be sharp or diffuse. The topics of the book contain absorption, inverse problems, anisotropy, pulses and finite beams, rough surfaces, matrix methods, numerical methods, reflection of particle waves and neutron reflection. Exact general results are presented, followed by long wave reflection, variational theory, reflection amplitude equations of the Riccati type, and reflection of short waves. The Second Edition of the Theory of Reflection is an updated and much enlarged revision of the 1987 monograph. There are new chapters on periodically stratified media, ellipsometry, chiral media, neutron reflection and reflection of acoustic waves. The chapter on anisotropy is much extended, with a complete treatment of the reflection and transmission properties of arbitrarily oriented uniaxial crystals. The book gives a systematic and unified treatment reflection and transmission of electromagnetic and particle waves at interfaces. It is intended for physicists, chemists, applied mathematicians and engineers, and is written in a simple direct style, with all necessary mathematics explained in the text.

Reflection is a technique for aiding and reinforcing learning, used in education and professional development. This volume offers practitioners and students guidance that cuts across theoretical approaches, enabling them to understand and use reflection to enhance learning in practice.

The emotions have traditionally been marginalized in mainstream social theory. This book demonstrates the problems that this has caused and charts the resurgence of emotions in social theory today. Drawing on a wide variety of sources, both classical and contemporary, Simon Williams treats the emotions as a universal feature of human life and our embodied relationship to the world. He reflects and comments upon the turn towards the body and intimacy in social theory, and explains what is important in current thinking about emotions. In his doing so, readers are provided with a critical assessment of various positions within the field, including the strengths and weaknesses of poststructuralism and postmodernism for examinin

This book is written for scientists and engineers whose work involves wave reflec tion or transmission. Most of the book is written in the language of electromagnetic theory, but, as the title suggests, many of the results can be applied to particle waves, specifically to those satisfying the Schr6dinger equation. The mathematical connection between electromagnetic s (or TE) waves and quantum particle waves is established in Chapter 1. The main results for s waves are translated into quantum mechanical language in the Appendix. There is also a close analogy between acoustic waves and electromagnetic p (or TM) waves, as shown in Section 1-4. Thus the book, though primarily intended for those working in optics, microwaves and radio, will be of use to physicists, chemists and electrical engineers studying reflection and transmission of particles at potential barriers. The tech niques developed here can also be used by those working in acoustics, ocean ography and seismology. Chapter 1 is recommended for all readers: it introduces reflection phenomena, defines the notation, and previews (in Section 1-6) the contents of the rest of the book. This preview will not be duplicated here. We note only that applied topics do appear: two examples are the important phenomenon of attenuated total reflection in Chapter 8, and the reflectivity of multilayer dielectric mirrors in Chapter 12. The subject matter is restricted to linear classical electrodynamics in non-magnetic media, and the corresponding particle analogues.

Reflective Planning Practice: Theory, Cases, and Methods uses structured, first-person reflection to reveal the artistry of planning practice. The value of professional reflection is widely recognized, but there is a difference between acknowledging it and doing it. This book takes up that challenge, providing planners’ reflections on past practice as well as prompts for reflecting in the midst of planning episodes. It explains a reflection framework and employs it in seven case studies written by planning educators who also practice. The cases reveal practical judgments made during the planning episode and takeaways for practice, as the planners used logic and emotion, and applied convention and invention. The practical judgments are explained from the perspective of the authors’ personal experiences, purposes, and professional style, and their interpretation of the rich context that underpins the cases including theories, sociopolitical aspects, workplace setting, and roles. The book seeks to awaken students and practitioners to the opportunities of a pragmatic, reflective approach to planning practice.