{"product_id":"abstract-algebra-a-proof-based-approach-with-complete-solutions-9798248522705","title":"Abstract Algebra A Proof-Based Approach with Complete Solutions","description":"\u003cp\u003e • Author(s): Mir Hossain\u003cbr\u003e • Publisher: Independently Published\u003cbr\u003e • Publisher Imprint: Independently Published\u003cbr\u003e • BISAC: Algebra - Abstract\u003c\/p\u003e\u003cp\u003eAbstract Algebra can feel intimidating-until you see the patterns clearly and practice the proofs step by step.\u003cbr\u003eThis book is a student-friendly, proof-focused guide designed to help you understand the core structures of algebra and confidently solve problems the way instructors grade them. \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003eInside, you'll build mastery through clear explanations, worked examples, and fully written solutions that model the logic and structure of strong mathematical writing. \u003cp\u003e\u003c\/p\u003eWhat you'll learn (with complete solutions) \u003cp\u003e\u003c\/p\u003eGroups, subgroups, cyclic groups, permutations, and group actions \u003cp\u003e\u003c\/p\u003eHomomorphisms, kernels, images, isomorphism theorems, and quotient groups \u003cp\u003e\u003c\/p\u003eRings, ideals, ring homomorphisms, and quotient rings \u003cp\u003e\u003c\/p\u003eIntegral domains, fields, polynomial rings, and factorization \u003cp\u003e\u003c\/p\u003eModular arithmetic, congruences, and applications to number theory \u003cp\u003e\u003c\/p\u003eProof techniques used in abstract algebra: induction, contradiction, contrapositive, and construction proofs \u003cp\u003e\u003c\/p\u003eWhy this book works \u003cp\u003e\u003c\/p\u003eProof-based approach: every major idea comes with a proof blueprint you can reuse \u003cp\u003e\u003c\/p\u003eComplete solutions: no skipped steps-solutions are written in a way you can learn from \u003cp\u003e\u003c\/p\u003ePractice-first design: definitions → examples → exercises → solutions (ideal for self-study) \u003cp\u003e\u003c\/p\u003eExam-ready coverage: matches the standard undergraduate abstract algebra sequence \u003cp\u003e\u003c\/p\u003eWhether you're taking your first course in abstract algebra or reviewing for an exam, this book helps you move from \"I recognize the topic\" to \"I can prove it and solve it.\" \u003cp\u003e\u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e","brand":"Independently Published","offers":[{"title":"Paperback","offer_id":47569546772631,"sku":"9798248522705","price":2470.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9798248522705.webp?v=1774878019","url":"https:\/\/atlanticbooks.com\/products\/abstract-algebra-a-proof-based-approach-with-complete-solutions-9798248522705","provider":"Atlantic Books","version":"1.0","type":"link"}