{"product_id":"mathematical-analysis-9780201002881","title":"Mathematical Analysis","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eIt provides a transition from elementary calculus to advanced courses in real and complex function theory and introduces the reader to some of the abstract thinking that pervades modern analysis.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e \u003cbr\u003e \u003cb\u003e 1. The Real and Complex Number Systems.\u003c\/b\u003e \u003cbr\u003e \u003cbr\u003e \u003cbr\u003e \u003cb\u003e 2. Some Basic Notions of Set Theory.\u003c\/b\u003e \u003cbr\u003e \u003cbr\u003e \u003cbr\u003e \u003cb\u003e 3. Elements of Point Set Topology.\u003c\/b\u003e \u003cbr\u003e \u003cbr\u003e \u003cbr\u003e \u003cb\u003e 4. Limits and Continuity.\u003c\/b\u003e \u003cbr\u003e \u003cbr\u003e \u003cbr\u003e \u003cb\u003e 5. Derivatives.\u003c\/b\u003e \u003cbr\u003e \u003cbr\u003e \u003cbr\u003e \u003cb\u003e 6. Functions of Bounded Variation and Rectifiable Curves.\u003c\/b\u003e \u003cbr\u003e \u003cbr\u003e \u003cbr\u003e \u003cb\u003e 7. The Riemann-Stieltjes Integral.\u003c\/b\u003e \u003cbr\u003e \u003cbr\u003e \u003cbr\u003e \u003cb\u003e 8. Infinite Series and Infinite Products.\u003c\/b\u003e \u003cbr\u003e \u003cbr\u003e \u003cbr\u003e \u003cb\u003e 9. Sequences of Functions.\u003c\/b\u003e \u003cbr\u003e \u003cbr\u003e \u003cbr\u003e \u003cb\u003e10. The Lebesgue Integral.\u003c\/b\u003e \u003cbr\u003e \u003cbr\u003e \u003cbr\u003e \u003cb\u003e11. Fourier Series and Fourier Integrals.\u003c\/b\u003e \u003cbr\u003e \u003cbr\u003e \u003cbr\u003e \u003cb\u003e12. Multivariable Differential Calculus.\u003c\/b\u003e \u003cbr\u003e \u003cbr\u003e \u003cbr\u003e \u003cb\u003e13. Implicit Functions and Extremum Problems.\u003c\/b\u003e \u003cbr\u003e \u003cbr\u003e \u003cbr\u003e \u003cb\u003e14. Multiple Riemann Integrals.\u003c\/b\u003e \u003cbr\u003e \u003cbr\u003e \u003cbr\u003e \u003cb\u003e15. Multiple Lebesgue Integrals.\u003c\/b\u003e \u003cbr\u003e \u003cbr\u003e \u003cbr\u003e \u003cb\u003e16. Cauchy's Theorem and the Residue Calculus.\u003c\/b\u003e \u003cbr\u003e","brand":"Pearson Education","offers":[{"title":"Default Title","offer_id":51017642508631,"sku":"9780201002881","price":999.99,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780201002881.jpg?v=1750774206","url":"https:\/\/bookcurl.com\/products\/mathematical-analysis-9780201002881","provider":"Book Curl","version":"1.0","type":"link"}