{"product_id":"fixed-point-theory-springer-monographs-in-mathematics-unified","title":"Fixed Point Theory (Springer Monographs in Mathematics) - Unified","description":"\u003cp\u003eOur review of Fixed Point Theory makes clear this monograph is aimed at graduate students and researchers who want a unified, geometric account of classical fixed point topics where topology meets nonlinear functional analysis. The single biggest reason to buy is its systematic treatment of principles related to the Leray Schauder theory, presented in a mostly self-contained way so readers with modest background in topology and functional analysis can follow the main development. This review highlights how the book balances rigorous proofs with an appendix for background material and a final chapter that gently introduces more advanced algebraic topology.\u003c\/p\u003e\n\u003ch2\u003eKey Features\u003c\/h2\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cstrong\u003eUnified exposition:\u003c\/strong\u003e Presents the classical fixed point topics in a single coherent narrative that clarifies connections between topology and nonlinear functional analysis.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eEmphasis on Leray Schauder theory:\u003c\/strong\u003e Focuses on developments related to Leray Schauder methods so readers can apply these principles in modern analysis problems.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eGeometric methods:\u003c\/strong\u003e Uses geometric approaches for much of the theory, which makes many abstract results more intuitive and easier to visualize.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eSelf-contained main text:\u003c\/strong\u003e The primary chapters are accessible to readers with modest background, reducing the need to consult many external sources.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eBackground appendix:\u003c\/strong\u003e Collects necessary topology and functional analysis material in an appendix so the exposition remains focused and compact.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eAdvanced doorway:\u003c\/strong\u003e The final chapter introduces algebraic topology ideas for readers ready to move into deeper theory.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch2\u003eWho It's For\u003c\/h2\u003e\n\u003cp\u003eThis book is well suited to graduate students, early-career researchers, and practitioners in nonlinear functional analysis or topology who want a focused, principle-driven treatment of fixed point theory with an emphasis on applications of the Leray Schauder framework. The exposition expects a basic familiarity with topology and functional analysis but supplies supporting background where needed.\u003c\/p\u003e\n\u003cp\u003eThose seeking a beginner's textbook with extensive exercise sets or a purely elementary introduction should look elsewhere, as the monograph is more of a concise, research-oriented account than a classroom primer. Readers requiring a full course of algebraic topology before reading should plan to consult supplementary texts for that material.\u003c\/p\u003e\n\u003ch2\u003ePros \u0026amp; Cons\u003c\/h2\u003e\n\u003cp\u003e\u003cstrong\u003ePros\u003c\/strong\u003e\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003eProvides a coherent, principle-based presentation that links topology and nonlinear functional analysis.\u003c\/li\u003e\n\u003cli\u003eThe geometric methods used make several abstract results more tangible and instructive.\u003c\/li\u003e\n\u003cli\u003eSelf-contained main text plus an appendix reduces prerequisite chasing for readers with modest background.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp\u003e\u003cstrong\u003eCons\u003c\/strong\u003e\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003eThe final chapter assumes familiarity with more advanced algebraic topology, which may be a barrier for some readers.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch2\u003eSpecifications\u003c\/h2\u003e\n\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003eTitle\u003c\/td\u003e\n\u003ctd\u003eFixed Point Theory (Springer Monographs in Mathematics)\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eAuthors\u003c\/td\u003e\n\u003ctd\u003eAndrzej Granas, James Dugundji\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eSeries\u003c\/td\u003e\n\u003ctd\u003eSpringer Monographs in Mathematics\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eScope\u003c\/td\u003e\n\u003ctd\u003eClassical fixed point theory at the border of topology and nonlinear functional analysis\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eApproach\u003c\/td\u003e\n\u003ctd\u003eGeometric methods with Leray Schauder emphasis\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePrerequisites\u003c\/td\u003e\n\u003ctd\u003eModest knowledge of topology and functional analysis; appendix supplies background\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e\n\u003ch2\u003eOur Verdict\u003c\/h2\u003e\n\u003cp\u003eFixed Point Theory is a compact, authoritative monograph that rewards readers seeking a principled account of classical results and Leray Schauder techniques. It is good value for graduate students and researchers who want a geometric, self-contained exposition that bridges topology and nonlinear analysis, though readers needing extensive elementary exercises or full algebraic topology prerequisites should supplement it.\u003c\/p\u003e\n\u003ch2\u003eFrequently Asked Questions\u003c\/h2\u003e\n\u003cp\u003e\u003cstrong\u003eIs this book suitable for self-study?\u003c\/strong\u003e\u003cbr\u003eThe main text is largely self-contained and the appendix provides background, so motivated readers with modest prior knowledge can use it for self-study.\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eDoes the book cover modern applications?\u003c\/strong\u003e\u003cbr\u003eThe monograph emphasizes principles and developments related to Leray Schauder theory that underpin many modern results, rather than cataloging contemporary applications.\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eDo I need algebraic topology to read it?\u003c\/strong\u003e\u003cbr\u003eOnly the last chapter presupposes some familiarity with advanced algebraic topology; earlier chapters remain accessible with the appendix material.\u003c\/p\u003e","brand":"Andrzej Granas, James Dugundji","offers":[{"title":"Default Title","offer_id":48235454169307,"sku":"1441918051","price":178.42,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0724\/1043\/1707\/files\/51xxJo35npL._SL1266.jpg?v=1770758165","url":"https:\/\/gearmusthave.com\/products\/fixed-point-theory-springer-monographs-in-mathematics-unified","provider":"GearMustHave","version":"1.0","type":"link"}