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What sets this volume apart from other mathematics texts is its emphasis on mathematical tools commonly used by scientists and engineers to solve real-world problems. Using a unique approach, it covers intermediate and advanced material in a manner appropriate for undergraduate students. Based on author Bruce Kusse's course at the Department of Applied and Engineering Physics at Cornell University, Mathematical Physics begins with essentials such as vector and tensor algebra, curvilinear coordinate systems, complex variables, Fourier series, Fourier and Laplace transforms, differential and integral equations, and solutions to Laplace's equations. The book moves on to explain complex topics t...
This book deals with 2-spinors in general relativity, beginning by developing spinors in a geometrical way rather than using representation theory, which can be a little abstract. This gives the reader greater physical intuition into the way in which spinors behave. The book concentrates on the algebra and calculus of spinors connected with curved space-time. Many of the well-known tensor fields in general relativity are shown to have spinor counterparts. An analysis of the Lanczos spinor concludes the book, and some of the techniques so far encountered are applied to this. Exercises play an important role throughout and are given at the end of each chapter.
Development of Perception: Psychobiological Perspectives, Volume 2, The Visual System, is the second of two-part series covering vision, audition, olfaction, taste, tactile sensitivity, and sensory-motor activity during ontogenesis. The focus is on approaches to perceptual development that incorporate a psychobiological perspective. The present volume brings together several topics of critical importance to the process of understanding the visual system. The book is organized into three parts. Part A addresses the theoretical and interpretive issues involved in designing and drawing conclusions from research on the development of the visual system. Part B on animal studies of visual development covers the neural and behavioral characteristics of the cat and monkey visual system during the early postnatal period. Part C examines visual development in human infants. Together, these three parts offer a comprehensive coverage of major issues in the structure and function of the developing mammalian visual system. Each chapter emphasizes the behavioral consequences of developing visual functions.
Reprint of the original, first published in 1871.