{"product_id":"9780849378744","title":"Invariance Theory","description":"This book treats the Atiyah-Singer index theorem using the heat equation, which gives a local formula for the index of any elliptic complex. Heat equation methods are also used to discuss Lefschetz fixed point formulas, the Gauss-Bonnet theorem for a manifold with smooth boundary, and the geometrical theorem for a manifold with smooth boundary. The author uses invariance theory to identify the integrand of the index theorem for classical elliptic complexes with the invariants of the heat equation.","brand":"Peter B. Gilkey, Steven G. Krantz","offers":[{"title":"Default Title","offer_id":45920244957502,"sku":"9780849378744","price":16706.35,"currency_code":"ZAR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4357\/7662\/products\/9780849378744_e4e82cc3-3444-4e5f-8913-6ab68ae49f41.jpg?v=1707343196","url":"https:\/\/exclusivebooks.co.za\/products\/9780849378744","provider":"Exclusive Books Online","version":"1.0","type":"link"}