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This is the first modern calculus book to be organized axiomatically and to survey the subject's applicability to science and engineering. A challenging exposition of calculus in the European style, it is an excellent text for a first-year university honors course or for a third-year analysis course. The calculus is built carefully from the axioms with all the standard results deduced from these axioms. The concise construction, by design, provides maximal flexibility for the instructor and allows the student to see the overall flow of the development. At the same time, the book reveals the origins of the calculus in celestial mechanics and number theory. The book introduces many topics often left to the appendixes in standard calculus textbooks and develops their connections with physics, engineering, and statistics. The author uses applications of derivatives and integrals to show how calculus is applied in these disciplines. Solutions to all exercises (even those involving proofs) are available to instructors upon request, making this book unique among texts in the field. Focuses on single variable calculus Provides a balance of precision and intuition Offers both routine and demanding exercises
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Slater presents a study of the three major christological images of Revelation and their meanings for the original audience. Employing both historical criticism and elements of sociology of knowledge, Christ and Community explores the social functions of 'one like a son of man', the Lamb, and the Divine Warrior, identifying both similarities and dissimilarities. The study argues, on the one hand, that the religious laxity found in Revelation 2-3 reflects attempts by some Christians to accommodate to provincial social pressures, while, on the other hand, Revelation 4-19 reflect the low status of Christians in the cities of Asia Minor.