{"product_id":"9780124160323","title":"Harmonic Vector Fields: Variational Principles and Differential Geometry","description":"\u003cp\u003eAn excellent reference for anyone needing to examine properties of harmonic vector fields to help them solve research problems. The book provides the main results of harmonic vector fields with an emphasis on Riemannian manifolds using past and existing problems to assist you in analyzing and furnishing your own conclusion for further research. It emphasizes a combination of theoretical development with practical applications for a solid treatment of the subject useful to those new to research using differential geometric methods in extensive detail.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cul\u003e\n\u003cli\u003eA useful tool for any scientist conducting research in the field of harmonic analysis\u003c\/li\u003e\n\u003cli\u003eProvides applications and modern techniques to problem solving \u003c\/li\u003e\n\u003cli\u003eA clear and concise exposition of differential geometry of harmonic vector fields on Reimannian manifolds\u003c\/li\u003e\n\u003cli\u003ePhysical Applications of Geometric Methods\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"Elsevier Science","offers":[{"title":"Default Title","offer_id":47077342904560,"sku":"9780124160323","price":149.95,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9780124160323_p0.jpg?v=1763639010","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9780124160323","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}