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This text is a rigorous introduction to ergodic theory, developing the machinery of conditional measures and expectations, mixing, and recurrence. Beginning by developing the basics of ergodic theory and progressing to describe some recent applications to number theory, this book goes beyond the standard texts in this topic. Applications include Weyl's polynomial equidistribution theorem, the ergodic proof of Szemeredi's theorem, the connection between the continued fraction map and the modular surface, and a proof of the equidistribution of horocycle orbits. Ergodic Theory with a view towards Number Theory will appeal to mathematicians with some standard background in measure theory and functional analysis. No background in ergodic theory or Lie theory is assumed, and a number of exercises and hints to problems are included, making this the perfect companion for graduate students and researchers in ergodic theory, homogenous dynamics or number theory.
Set in London 2065, society has continued its advancement in both philosophy and technology. People no longer suffer the hardships which previous generations faced. However, Sam Moorcroft, a teenager, is drawn to a particular village, primitive in nature. Designed as a sociological experiment, the village has no connection or knowledge of the outside world. Sam finds his new life to be rough but strangely appealing - so different from modern life. Amidst much turmoil, Sam eventually realizes that he is torn between the two worlds. Interlander is a thought-provoking tale that examines the impact that technology has on a person's spiritual life.
Aerospace Propulsion Systems is a unique book focusing on each type of propulsion system commonly used in aerospace vehicles today: rockets, piston aero engines, gas turbine engines, ramjets, and scramjets. Dr. Thomas A. Ward introduces each system in detail, imparting an understanding of basic engineering principles, describing key functionality mechanisms used in past and modern designs, and provides guidelines for student design projects. With a balance of theory, fundamental performance analysis, and design, the book is specifically targeted to students or professionals who are new to the field and is arranged in an intuitive, systematic format to enhance learning. Covers all engine type...
Includes up-to-date material on recent developments and topics of significant interest, such as elliptic functions and the new primality test Selects material from both the algebraic and analytic disciplines, presenting several different proofs of a single result to illustrate the differing viewpoints and give good insight
This memoir chronicles the journey of an academic, tracing a path from primary school in Zambia to a career in higher education as a mathematician and educational leader. Set against the backdrop of the 20th century, the book explores how early influences and historical events shape an individual's life and professional trajectory. The author shares childhood experiences across three parts of Africa, providing an original perspective as a witness to the post-colonial period. Through personal reflections, the memoir delves into the emergence of ideas and collaborations in mathematics and how these shape career choices. It also offers candid observations on the major changes in British higher education since the 1980s. Intended for a general audience, this book provides a compelling read for anyone interested in the experience of becoming a mathematician, and higher education in general.
In John Duns Scotus on Parts, Wholes, and Hylomorphism, Thomas M. Ward examines Scotus's arguments for his distinctive version of hylomorphism, the view that at least some material objects are composites of matter and form. It considers Scotus's reasons for adopting hylomorphism, and his accounts of how matter and form compose a substance, how extended parts, such as the organs of an organism, compose a substance, and how other sorts of things, such as the four chemical elements (earth, air, fire, and water) and all the things in the world, fail to compose a substance. It highlights the extent to which Scotus draws on his metaphysics of essential order to explain why some things can compose substance and why others cannot. Throughout the book, contemporary versions of hylomorphism are discussed in ways that both illumine Scotus's own views and suggest ways to advance contemporary debates.