{"product_id":"advanced-calculus-differential-calculus-and-stokes-theorem-9783110438215","title":"Advanced Calculus: Differential Calculus and Stokes' Theorem","description":"\u003ch2\u003eAdvanced Calculus: Differential Calculus and Stokes' Theorem\u003c\/h2\u003e\n\n\u003cp\u003eThis graduate-level textbook provides a rigorous introduction to multi-variable differential calculus with a unified approach to classical theorems. Designed for advanced mathematics students, this comprehensive resource builds foundational concepts incrementally, guiding readers from basic calculus of vector functions through sophisticated applications of differential forms.\u003c\/p\u003e\n\n\u003ch2\u003eComprehensive Coverage of Differential Calculus\u003c\/h2\u003e\n\n\u003cp\u003eThe textbook introduces differential forms progressively throughout the narrative, allowing students to develop intuition before encountering more abstract concepts. This pedagogical approach culminates in a unified treatment of Green's, Stokes', and Gauss' theorems, demonstrating the interconnected nature of these fundamental results in vector calculus.\u003c\/p\u003e\n\n\u003ch2\u003eNatural Progression to Differential Geometry\u003c\/h2\u003e\n\n\u003cp\u003eThe presentation offers a natural pathway from multi-variable calculus to differential geometry, making this textbook valuable for students planning to pursue advanced studies in geometric analysis, topology, or theoretical physics. The treatment of wedge products and exterior derivatives provides essential preparation for modern differential geometry courses.\u003c\/p\u003e\n\n\u003ch2\u003eStructured Learning Path\u003c\/h2\u003e\n\n\u003cp\u003e\u003cstrong\u003eContents:\u003c\/strong\u003e\u003cbr\u003e\nCalculus of Vector Functions\u003cbr\u003e\nTangent Spaces and 1-forms\u003cbr\u003e\nLine Integrals\u003cbr\u003e\nDifferential Calculus of Mappings\u003cbr\u003e\nApplications of Differential Calculus\u003cbr\u003e\nDouble and Triple Integrals\u003cbr\u003e\nWedge Products and Exterior Derivatives\u003cbr\u003e\nIntegration of Forms\u003cbr\u003e\nStokes' Theorem and Applications\u003c\/p\u003e\n\n\u003ch2\u003eIdeal for Graduate Mathematics Programs\u003c\/h2\u003e\n\n\u003cp\u003eThis textbook serves graduate students and advanced undergraduates in mathematics, physics, and engineering programs. The systematic development of differential forms and their integration provides the mathematical foundation necessary for advanced coursework in analysis, geometry, and mathematical physics.\u003c\/p\u003e\n\n\u003ch2\u003eAbout the Author\u003c\/h2\u003e\n\n\u003cp\u003e\u003cstrong\u003ePietro-Luciano Buono\u003c\/strong\u003e, University of Ontario Institute of Technology, Canada.\u003c\/p\u003e","brand":"de Gruyter","offers":[{"title":"Default Title","offer_id":50493388882194,"sku":"9783110438215","price":45.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0831\/4771\/8930\/files\/img_365ea5cb-ccb7-4b25-b30d-d3c0fced8d80.jpg?v=1730645983","url":"https:\/\/surprise-castle.myshopify.com\/products\/advanced-calculus-differential-calculus-and-stokes-theorem-9783110438215","provider":"Surprise Castle","version":"1.0","type":"link"}