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The School Review
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An Introduction to q-analysis
Starting from simple generalizations of factorials and binomial coefficients, this book gives a friendly and accessible introduction to q q-analysis, a subject consisting primarily of identities between certain kinds of series and products. Many applications of these identities to combinatorics and number theory are developed in detail. There are numerous exercises to help students appreciate the beauty and power of the ideas, and the history of the subject is kept consistently in view. The book has few prerequisites beyond calculus. It is well suited to a capstone course, or for self-study in combinatorics or classical analysis. Ph.D. students and research mathematicians will also find it useful as a reference.
Paul and Philodemus
As Paul guides and educates his converts he functions as a psychagogue (“leader of souls”), adapting his leadership style as required in each individual case. Pauline psychagogy resembles Epicurean psychagogy in the way persons enjoying a superior moral status and spiritual aptitude help to nurture and correct others, guiding their souls in moral and religious (re)formation. This study relates Epicurean psychagogy of late Republican times to early Christian psychagogy on the basis of an investigation which places the practice in the wider socio-cultural perspective, contextualising it in Greco-Roman literature treating friendship and flattery and the importance of adaptability in moral guidance. Pauline studies are advanced by the introduction of new material into the discussion of the Corinthian correspondence which throws light on Paul's debate with his recalcitrant critics.
Modern Computer Algebra
Computer algebra systems are now ubiquitous in all areas of science and engineering. This highly successful textbook, widely regarded as the 'bible of computer algebra', gives a thorough introduction to the algorithmic basis of the mathematical engine in computer algebra systems. Designed to accompany one- or two-semester courses for advanced undergraduate or graduate students in computer science or mathematics, its comprehensiveness and reliability has also made it an essential reference for professionals in the area. Special features include: detailed study of algorithms including time analysis; implementation reports on several topics; complete proofs of the mathematical underpinnings; and a wide variety of applications (among others, in chemistry, coding theory, cryptography, computational logic, and the design of calendars and musical scales). A great deal of historical information and illustration enlivens the text. In this third edition, errors have been corrected and much of the Fast Euclidean Algorithm chapter has been renovated.
Transformation Groups Applied to Mathematical Physics
Approach your problems from the right It isn't that they can't see the solution. end and begin with the answers. Then It is that they can't see the problem. one day, perhaps you will find the final question. G.K. Chesterton. The Scandal of Father Brown 'The Point of a Pin'. 'The Hermit Clad in Crane Feathers' in R.van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are ...
Roman Manliness
Publisher Description
Christ Child
Little is known about the early childhood of Jesus Christ. But in the decades after his death, stories began circulating about his origins. One collection of such tales was the so-called Infancy Gospel of Thomas, known in antiquity as the Paidika or “Childhood Deeds” of Jesus. In it, Jesus not only performs miracles while at play (such as turning clay birds into live sparrows) but also gets enmeshed in a series of interpersonal conflicts and curses to death children and teachers who rub him the wrong way. How would early readers have made sense of this young Jesus? In this highly innovative book, Stephen Davis draws on current theories about how human communities construe the past to answer this question. He explores how ancient readers would have used texts, images, places, and other key reference points from their own social world to understand the Christ child’s curious actions. He then shows how the figure of a young Jesus was later picked up and exploited in the context of medieval Jewish-Christian and Christian-Muslim encounters. Challenging many scholarly assumptions, Davis adds a crucial dimension to the story of how Christian history was created.
Equivalence, Invariants and Symmetry
Drawing on a wide range of mathematical disciplines, including geometry, analysis, applied mathematics and algebra, this book presents an innovative synthesis of methods used to study problems of equivalence and symmetry which arise in a variety of mathematical fields and physical applications. Systematic and constructive methods for solving equivalence problems and calculating symmetries are developed and applied to a wide variety of mathematical systems, including differential equations, variational problems, manifolds, Riemannian metrics, polynomials and differential operators. Particular emphasis is given to the construction and classification of invariants, and to the reductions of complicated objects to simple canonical forms. This book will be a valuable resource for students and researchers in geometry, analysis, algebra, mathematical physics and other related fields.
Michael Psellos
This comprehensive study of Michael Psellos unravels the rich history of authorship, literature and self-representation in Byzantium.
