The purpose of Glimpses of Algebra and Geometry is to fill a gap between undergraduate and graduate mathematics studies. It is one of the few undergraduate texts to explore the subtle and sometimes puzzling connections between number theory, classical geometry and modern algebra in a clear and easily understandable style. Over 160 computer-generated images, accessible to readers via the World Wide Web, facilitate an understanding of mathematical concepts and proofs even further.
Mathematical Linguistics (Advanced Information and Knowledge Processing)
This is a remarkable book on the mathematics used for linguistics. … it provides a coherent, well-written view of the math required to model the structure of langiage as used in the main branches of linguistics: phonology, morphology, syntax, and semantics. The intended audience is anyone with sufficient general mathematical maturity, such as advanced undergraduate math. … The math is presented well, and the material has a strong narrative flow.
This seminal book has played a central role in the development of ecological science. Originally published in 1976, this influential text has overseen the transition of ecology from an observational and descriptive subject to one with a solid conceptual core. Indeed, it is a testament to its influence that a great deal of the novel material presented in the earlier editions has now been incorporated into standard undergraduate textbooks. It is now a quarter of a century since the publication of the second edition, and a thorough revision is timely.
The Language of Physics: A Foundation for University Study
This book introduces physics to a first year undergraduate in the language of mathematics. As such it aims to give a mathematical foundation to the physics taught at school as well as extending it to the skills and disciplines approached during a first degree course in physical science or engineering. It bridges two gaps in modern education - between the level of difficulty between A-level and undergraduate study, and between mathematics and physics.
Complex Analysis (Undergraduate Texts in Mathematics)
This unusually lively textbook on complex variables introduces the theory of analytic functions, explores its diverse applications and shows the reader how to harness its powerful techniques. "Complex Analysis" offers new and interesting motivations for classical results and introduces related topics that do not appear in this form in other texts. Stressing motivation and technique, and containing a large number of problems and their solutions, this volume may be used as a text both in classrooms and for self-study.
