{"product_id":"introduction-to-singularities-and-deformations-concise-graduate-text","title":"Introduction to Singularities and Deformations - Concise Graduate Text","description":"\u003cp\u003eIn this review of Introduction to Singularities and Deformations the book is recommended for graduate students and researchers seeking a focused, rigorous entry to the subject; the single biggest reason to buy is its clear presentation of both local deformation theory and the classical theory of plane curve singularities that together bridge foundational ideas with current research directions. The review finds the text best where readers want a mathematically precise, example-driven treatment rather than a broad survey or elementary primer.\u003c\/p\u003e\u003ch2\u003eKey Features\u003c\/h2\u003e\u003cul\u003e\n\u003cli\u003e\n\u003cstrong\u003eComprehensive coverage:\u003c\/strong\u003e The book presents the basic singularity theory of analytic spaces so readers gain a systematic grounding in core concepts and methods.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eLocal deformation theory:\u003c\/strong\u003e It explains deformation theory as a practical technique for algebraic geometry and complex analysis, helping readers apply these ideas in research problems.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003ePlane curve focus:\u003c\/strong\u003e The dedicated treatment of plane curve singularities provides classical examples and applications that illuminate general theory.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eInterdisciplinary context:\u003c\/strong\u003e Connections to algebraic geometry, complex analysis, topology, and dynamical systems show how singularity theory interacts with other fields.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eResearch-oriented approach:\u003c\/strong\u003e The text emphasizes ideas and methods current in research, making it a useful bridge from coursework to literature.\u003c\/li\u003e\n\u003c\/ul\u003e\u003ch2\u003eWho It's For\u003c\/h2\u003e\u003cp\u003eThis book is aimed at graduate students, early-career researchers, and advanced undergraduates with a solid background in complex analysis or algebraic geometry who want a rigorous introduction to singularities and deformations. It suits readers preparing to work on plane curve singularities or to use deformation techniques in algebraic geometry.\u003c\/p\u003e\u003cp\u003eThose looking for an elementary textbook with extensive exercises for beginners, or a broad popular overview, should look elsewhere; the presentation assumes mathematical maturity and is concentrated on theory and examples rather than pedagogical hand-holding.\u003c\/p\u003e\u003ch2\u003ePros \u0026amp; Cons\u003c\/h2\u003e\u003cp\u003e\u003cstrong\u003ePros\u003c\/strong\u003e\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003eClear focus on \u003cstrong\u003elocal deformation theory\u003c\/strong\u003e gives readers practical tools applied in algebraic geometry.\u003c\/li\u003e\n\u003cli\u003eThorough treatment of \u003cstrong\u003eplane curve singularities\u003c\/strong\u003e supplies classical examples that illuminate general concepts.\u003c\/li\u003e\n\u003cli\u003eInterdisciplinary connections help readers place singularity theory within a wider mathematical landscape.\u003c\/li\u003e\n\u003c\/ul\u003e\u003cp\u003e\u003cstrong\u003eCons\u003c\/strong\u003e\u003c\/p\u003e\u003cul\u003e\u003cli\u003eThe text is research-oriented and not designed as an introductory course for inexperienced readers.\u003c\/li\u003e\u003c\/ul\u003e\u003ch2\u003eSpecifications\u003c\/h2\u003e\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003eTitle\u003c\/td\u003e\n\u003ctd\u003eIntroduction to Singularities and Deformations\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\u003eAuthors\u003c\/td\u003e\n\u003ctd\u003eGert-Martin Greuel, Christoph Lossen, Eugenii I. Shustin\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eScope\u003c\/td\u003e\n\u003ctd\u003eSingularity theory of analytic spaces; plane curve singularities; deformation theory\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eIntended audience\u003c\/td\u003e\n\u003ctd\u003eGraduate students and researchers in mathematics\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eApproach\u003c\/td\u003e\n\u003ctd\u003eTheoretical, example-driven, research-focused\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e\u003ch2\u003eOur Verdict\u003c\/h2\u003e\u003cp\u003eIntroduction to Singularities and Deformations is a concise, rigorous introduction that pays off for readers prepared for a mathematically mature text; it is especially good value for graduate students and researchers who need a focused treatment of plane curve singularities and local deformation theory as tools for further work in algebraic geometry and related fields.\u003c\/p\u003e\u003ch2\u003eFrequently Asked Questions\u003c\/h2\u003e\u003cp\u003e\u003cstrong\u003eIs this book suitable for beginners?\u003c\/strong\u003e\u003cbr\u003eIt assumes mathematical maturity and background in complex analysis or algebraic geometry, so it is not ideal for complete beginners.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eDoes the book cover deformation theory in detail?\u003c\/strong\u003e\u003cbr\u003eYes, it presents local deformation theory as a central technique and explains its applications in algebraic geometry and complex analysis.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eAre there many examples of plane curve singularities?\u003c\/strong\u003e\u003cbr\u003eYes, plane curve singularities are treated as a core topic and used to illustrate general concepts and methods.\u003c\/p\u003e","brand":"Gert-Martin Greuel, Christoph Lossen, Eugenii I. 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