{"product_id":"mathematical-neuroscience-hardback-9780124114685","title":"Mathematical Neuroscience (Hardback) 9780124114685","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eMathematical Neuroscience\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003e\u003cp\u003eThe first research monograph in mathematical neuroscience devoted exclusively to the theory and methods of nonlinear analysis of infinite systems\u003c\/p\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eStanislaw Brzychczy (Author), Roman R. Poznanski (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780124114685, Elsevier Science\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 30 September 2013\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e208 pages\u003cbr\u003e23.4 x 19 x 2 cm, 0.62 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e\u003cp\u003e\"Brzychczy,… Kraków and Poznanski…present methods of nonlinear functional analysis and their application to neuroscience. This is the first book, they say, to compile methods of nonlinear analysis to better understand the dynamics associated with solutions of infinite systems of equations. It would be suitable as a textbook for a one-semester graduate course in mathematical neuroscience for neuroscience students seeking tools and mathematics students looking for applications.\" --\u003cb\u003eReference \u0026amp; Research Book News, December 2013\u003c\/b\u003e\u003c\/p\u003e\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003e\u003cp\u003e\u003ci\u003eMathematical Neuroscience\u003c\/i\u003e is a book for mathematical biologists seeking to discover the complexities of brain dynamics in an integrative way. It is the first research monograph devoted exclusively to the theory and methods of nonlinear analysis of infinite systems based on functional analysis techniques arising in modern mathematics. \u003c\/p\u003e  \u003cp\u003eNeural models that describe the spatio-temporal evolution of coarse-grained variables—such as synaptic or firing rate activity in populations of neurons —and often take the form of integro-differential equations would not normally reflect an integrative approach. This book examines the solvability of infinite systems of reaction diffusion type equations in partially ordered abstract spaces. It considers various methods and techniques of nonlinear analysis, including comparison theorems, monotone iterative techniques, a truncation method, and topological fixed point methods. Infinite systems of such equations play a crucial role in the integrative aspects of neuroscience modeling.\u003c\/p\u003e\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e\u003cp\u003e\u003cb\u003ePart I. Methods of Nonlinear Analysis\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1. Introduction to Part I\u003c\/p\u003e \u003cp\u003e2. Notations, Definitions and Assumptions\u003c\/p\u003e \u003cp\u003e3. Differential Inequalities\u003c\/p\u003e \u003cp\u003e4. Monotone Iterative Methods\u003c\/p\u003e \u003cp\u003e5. Methods of Lower and Upper Solutions\u003c\/p\u003e \u003cp\u003e6. Truncation Method\u003c\/p\u003e \u003cp\u003e7. Fixed Point Method\u003c\/p\u003e \u003cp\u003e8. Stability of Solutions\u003c\/p\u003e \u003cb\u003e \u003c\/b\u003e\u003cp\u003ePART II. Application of Nonlinear Analysis\u003c\/p\u003e  \u003cp\u003e9. Introduction to Part II \u003c\/p\u003e \u003cp\u003e10. Continuous and Discrete Models of Neural Systems\u003c\/p\u003e \u003cp\u003e11. Nonlinear Cable Equations\u003c\/p\u003e \u003cp\u003e12. Reaction-Diffusion Equations\u003c\/p\u003e \u003col\u003e \u003c\/ol\u003e \u003cp\u003eAppendix\u003c\/p\u003e \u003col\u003e \u003c\/ol\u003e \u003cp\u003eFurther Reading\u003c\/p\u003e\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Neurosciences [\u003ca title=\"See our other books on Neurosciences\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Neurosciences%20%5BPSAN%5D%22\"\u003ePSAN\u003c\/a\u003e], Neurology \u0026amp; clinical neurophysiology [\u003ca title=\"See our other books on Neurology \u0026amp; clinical neurophysiology\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Neurology%20\u0026amp;%20clinical%20neurophysiology%20%5BMJN%5D%22\"\u003eMJN\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Academic Press","offers":[{"title":"Default Title","offer_id":46648858935576,"sku":"9780124114685","price":82.95,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780124114685.jpg?v=1694094645","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/mathematical-neuroscience-hardback-9780124114685","provider":"Freshly Printed Books","version":"1.0","type":"link"}