{"product_id":"advanced-calculus-isbn-9780471025665","title":"Advanced Calculus","description":"Outlines theory and techniques of calculus, emphasizing strong understanding of concepts, and the basic principles of analysis. Reviews elementary and intermediate calculus and features discussions of elementary-point set theory, and properties of continuous functions. 1. Fundamentals of Elementary Calculus.\u003cbr\u003e \u003cbr\u003e 2. The Real Number System.\u003cbr\u003e \u003cbr\u003e 3. Continuous Functions.\u003cbr\u003e \u003cbr\u003e 4. Extensions of the Law of the Mean.\u003cbr\u003e \u003cbr\u003e 5. Functions of Several Variables.\u003cbr\u003e \u003cbr\u003e 6. The Elements of Partial Differentiation.\u003cbr\u003e \u003cbr\u003e 7. General Theorems of Partial Differentiation.\u003cbr\u003e \u003cbr\u003e 8. Implicit-Function Theorems.\u003cbr\u003e \u003cbr\u003e 9. The Inverse Function Theorem with Applications.\u003cbr\u003e \u003cbr\u003e 10. Vectors and Vector Fields.\u003cbr\u003e \u003cbr\u003e 11. Linear Transformations.\u003cbr\u003e \u003cbr\u003e 12. Differential Calculus of Functions from R¯nto R¯m.\u003cbr\u003e \u003cbr\u003e 13. Double and Triple Integrals.\u003cbr\u003e \u003cbr\u003e 14. Curves and Surfaces.\u003cbr\u003e \u003cbr\u003e 15. Line and Surface Integrals.\u003cbr\u003e \u003cbr\u003e 16. Point-Set Theory.\u003cbr\u003e \u003cbr\u003e 17. Fundamental Theorems on Continuous Functions.\u003cbr\u003e \u003cbr\u003e 18. The Theory of Integration.\u003cbr\u003e \u003cbr\u003e 19. Infinite Series.\u003cbr\u003e \u003cbr\u003e 20. Uniform Convergence.\u003cbr\u003e \u003cbr\u003e 21. Power Series.\u003cbr\u003e \u003cbr\u003e 22. Improper Integrals.\u003cbr\u003e \u003cbr\u003e Answers to Selected Exercises.\u003cbr\u003e \u003cbr\u003e Index. Angus Ellis Taylor (October 13, 1911 – April 6, 1999) was a mathematician and professor at various universities in the University of California system. He earned his undergraduate degree at Harvard summa cum laude in 1933 and his PhD at Caltech in 1936 under Aristotle Michal with a dissertation on analytic functions. By 1944 he had risen to full professor at UCLA, whose mathematics department he later chaired (1958–1964). Taylor was also an astute administrator and eventually rose through the UC system to become provost and then chancellor of UC Santa Cruz. He authored a number of mathematical texts, one of which, Advanced Calculus (1955, Ginn and Co.), became a standard for a generation of mathematics students.","brand":"Wiley","offers":[{"title":"Default Title","offer_id":47988664565989,"sku":"NP9780471025665","price":218.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9780471025665.jpg?v=1761781175","url":"https:\/\/k12savings.com\/products\/advanced-calculus-isbn-9780471025665","provider":"K12savings","version":"1.0","type":"link"}