This is a very successful textbook for undergraduate students of pure mathematics. Students often find the subject of complex analysis very difficult. Here the authors, who are experienced and well-known expositors, avoid many of such difficulties by using two principles: (1) generalising concepts familiar from real analysis; (2) adopting an approach which exhibits and makes use of the rich geometrical structure of the subject. An opening chapter provides a brief history of complex analysis which sets it in context and provides motivation.
Infinity is an intriguing topic, with connections to religion, philosophy, metaphysics, logic, and physics as well as mathematics. Its history goes back to ancient times, with especially important contributions from Euclid, Aristotle, Eudoxus, and Archimedes. The infinitely large (infinite) isintimately related to the infinitely small (infinitesimal). Cosmologists consider sweeping questions about whether space and time are infinite. Philosophers and mathematicians ranging from Zeno to Russell have posed numerous paradoxes about infinity and infinitesimals. Many vital areas ofmathematics rest upon some version of infinity. The most obvious, and the first context in which major new techniques...
"There are many textbooks available for a so-called transition course from calculus to abstract mathematics. I have taught this course several times and always find it problematic. The Foundations of Mathematics (Stewart and Tall) is a horse of a different color. The writing is excellent and there is actually some useful mathematics. I definitely like this book."--The Bulletin of Mathematics Books
Sixteen columns from the French edition of Scientific American feature oddball characters and wacky wordplay in a mathematical wonderland of puzzles and games that also imparts significant mathematical ideas. 1992 edition.
Twenty-third-century civilisation is recovering from a decades-long anti-technology freeze that has left the world under-populated, the Moon and asteroids controlled by a Tibetan Zen Buddhist sect from a deep-space habitat, and interplanetary exploration in the hands of a few eccentric outcasts. One such loner - Prudence Odingo - returns to Earth to report that she has recovered 100,00-year-old wheeled artefacts, from under the ice of Callisto, a moon of Jupiter. She is arrested, and about to be convicted on criminal fraud when the 'wheelers' abruptly come to life - and several of Jupiter's moons change their orbits, ready to propel a vast planet-destroying comet towards Earth. The unimaginable and incredibly powerful creatures that live in Jupiter's hellish atmosphere have apparently declared war on humanity. Prudence must somehow discover why - with the help of her Zen Buddhist friends, and the archenemy pedant who once destroyed her career.
Ian Stewart has done an outstanding job of presenting a comprehensive overview of Eric Berne, his life, his philosophy and his significant contributions to the fields of personality and psychotherapy... Stewart has made a significant and unique contribution to the literature of transactional analysis. This book deserves reading by all transactional analysts' - "Transactional Analysis Journal " Eric Berne is probably still best known as the author of the bestselling Games People Play, yet his professional writings on transactional analysis fill several books and his practice of psychotherapy was distilled from more than thirty years' experience of work with clients. Ian Stewart draws Berne's ideas together in a unique and accessible form and concludes that Berne emerges not only as a skilled communicator but also as a profound thinker who offers a major contribution to counselling and psychotherapy this century.
First integrated treatment of main ideas behind René Thom's theory of catastrophes stresses detailed applications in the physical sciences. Mathematics of theory explained with a minimum of technicalities. Over 200 illustrations clarify text designed for researchers and postgraduate students in engineering, mathematics, physics and biology. 1978 edition. Bibliography.
Welcome back to Ian Stewart's magical world of mathematics! This is a strange world of never-ending chess games, empires on the moon, furious fireflies, and, of course, disputes over how best to cut a cake. Each quirky tale presents a fascinating mathematical puzzle — challenging, fun, and also introducing the reader to a significant mathematical problem in an engaging and witty way.
`This is an excellent book. Whilst specifically aimed at the "newer counsellor", this book contains much that will be of interest to experienced practitioners both within and outside of TA... this book is an excellent guide to implementing TA techniques and treatment planning particularly from a process model perspective. It incorporates many new ideas which will make it refreshing and inspiring for both new and experienced counsellors and psychotherapists' - ITA News This concise workbook provides 30 practical suggestions to help practising counsellors develop and enhance their Transactional Analysis (TA) counselling skills. After a brief introductory section that summarizes the essentials ...