{"product_id":"organized-collapse-an-introduction-to-discrete-morse-theory-9781470464554","title":"Organized Collapse An Introduction to Discrete","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eProvides a gentle introduction into discrete Morse theory. Using a combinatorial approach, the author emphasizes acyclic matchings as the central object of study. The first two parts of the book can be used as a stand-alone introduction to homology, the last two parts delve into the core of discrete Morse theory.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cul\u003e\n\u003cli\u003ePreamble\u003c\/li\u003e\n\u003cli\u003ePreface\u003c\/li\u003e\n\u003cli\u003eThe idea of homology\u003c\/li\u003e\n\u003cli\u003eThe idea of discrete Morse theory\u003c\/li\u003e\n\u003cli\u003eA sample application\u003c\/li\u003e\n\u003cli\u003eHow to use this book\u003c\/li\u003e\n\u003cli\u003ePrerequisites\u003c\/li\u003e\n\u003cli\u003eGuide to the literature\u003c\/li\u003e\n\u003cli\u003ePart 1 . Introduction to Homology\u003c\/li\u003e\n\u003cli\u003eChapter 1. The First Steps\u003c\/li\u003e\n\u003cli\u003eChapter 2. Simplicial Homology\u003c\/li\u003e\n\u003cli\u003eChapter 3. Beyond the Simplicial Setting\u003c\/li\u003e\n\u003cli\u003ePart 2 . Further Aspects of Homology Theory\u003c\/li\u003e\n\u003cli\u003eChapter 4. Category of Chain Complexes\u003c\/li\u003e\n\u003cli\u003eChapter 5. Chain Homotopy\u003c\/li\u003e\n\u003cli\u003eChapter 6. Connecting Homomorphism\u003c\/li\u003e\n\u003cli\u003eChapter 7. Singular Homology\u003c\/li\u003e\n\u003cli\u003eChapter 8. Cellular Homology\u003c\/li\u003e\n\u003cli\u003eSuggested further reading for Parts 1 and 2\u003c\/li\u003e\n\u003cli\u003ePart 3 . Basic Discrete Morse Theory\u003c\/li\u003e\n\u003cli\u003eChapter 9. Simplicial Collapses\u003c\/li\u003e\n\u003cli\u003eChapter 10. Organizing Collapsing Sequences\u003c\/li\u003e\n\u003cli\u003eChapter 11. Internal Collapses and Discrete Morse Theory\u003c\/li\u003e\n\u003cli\u003eChapter 12. Explicit Homology Classes Associated to Critical Cells\u003c\/li\u003e\n\u003cli\u003eChapter 13. The Critical Morse Complex\u003c\/li\u003e\n\u003cli\u003eChapter 14. Implications and Variations\u003c\/li\u003e\n\u003cli\u003eSuggested further reading for Part 3\u003c\/li\u003e\n\u003cli\u003ePart 4 . Extensions of Discrete Morse Theory\u003c\/li\u003e\n\u003cli\u003eChapter 15. Algebraic Morse Theory\u003c\/li\u003e\n\u003cli\u003eChapter 16. Discrete Morse Theory for Posets\u003c\/li\u003e\n\u003cli\u003eChapter 17. Discrete Morse Theory for CW Complexes\u003c\/li\u003e\n\u003cli\u003eChapter 18. Discrete Morse Theory and Persistence\u003c\/li\u003e\n\u003cli\u003eSuggested further reading for Part 4\u003c\/li\u003e\n\u003cli\u003eIndex\u003c\/li\u003e\n\u003cli\u003eList of Figures\u003c\/li\u003e\n\u003cli\u003eList of Tables\u003c\/li\u003e\n\u003cli\u003eBibliography\u003c\/li\u003e\n\u003cli\u003eIndex\u003c\/li\u003e\n\u003cli\u003ePreview Material\u003c\/li\u003e\n\u003cli\u003ePreface\u003c\/li\u003e\n\u003cli\u003eTable of Contents\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"MP-AMM American Mathematical","offers":[{"title":"Default Title","offer_id":50046682562903,"sku":"9781470464554","price":70.2,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781470464554.jpg?v=1740272061","url":"https:\/\/bookcurl.com\/products\/organized-collapse-an-introduction-to-discrete-morse-theory-9781470464554","provider":"Book Curl","version":"1.0","type":"link"}