{ "item_title" : "Thinking Like Ramanujan", "item_author" : [" Bijay Kumar "], "item_description" : "THINKING LIKE RAMANUJAN - VOLUME IIIInfinity, Series and PartitionsFrom Number Patterns to Mathematical DiscoveryWhat does it really mean to think like a mathematician?Mathematics is not merely about memorizing formulas or finding numerical answers. It is about discovering patterns, asking meaningful questions, testing conjectures, understanding hidden structures, and developing rigorous mathematical proofs.Inspired by the spirit of mathematical curiosity and discovery associated with the legendary Indian mathematician Srinivasa Ramanujan, Thinking Like Ramanujan - Volume III takes readers on an intellectually engaging journey from elementary algebraic ideas to the fascinating mathematics of infinity, infinite series, prime numbers, generating functions, integer partitions, and q-series.This third volume builds a systematic bridge between foundational mathematics and deeper concepts in mathematical analysis, combinatorics, and number theory.WHAT YOU WILL LEARNThe book contains 12 carefully organized chapters (Chapters 25-36), covering: Functions, Graphs, and the Algebra-to-Calculus BridgeLimits and Infinite ProcessesConvergent SequencesInfinite Series and Partial SumsConvergence Tests and Mathematical ReasoningGeometric Series and the Binomial TheoremDerivatives and IntegralsTaylor Series and Power SeriesEuler Products and Prime NumbersGenerating Functions and Counting ProblemsInteger Partitions, Ferrers Diagrams, and Symmetryq-Series, Infinite Products, and Introductory IdentitiesKEY FEATURES12 systematically structured chapters132 worked mathematical examples300 graded exercises with explanations, solutions, and project guidance24 mathematical figuresStep-by-step mathematical reasoningProofs, counterexamples, and common-error analysisDiscovery laboratories and revision activitiesCumulative reviews and a final mastery checkConnections between mathematics and Python programmingThree learning pathways: Foundation, Proof, and DiscoveryA DISCOVERY-BASED APPROACHThe central philosophy of this book is: OBSERVE → CONJECTURE → VERIFY → PROVEReaders are encouraged to move beyond mechanical calculations and develop the ability to investigate patterns, identify necessary conditions, construct logical arguments, and distinguish mathematical evidence from rigorous proof.WHO SHOULD READ THIS BOOK?This book is suitable for mathematically curious readers, advanced school students with a solid algebra foundation, undergraduate mathematics and computer science students, teachers, and independent learners.It can also serve as supplementary conceptual reading for students interested in mathematical Olympiads and advanced competitive examinations.ABOUT THE AUTHORBijay Kumar holds a B.Tech in Computer Science and Engineering from NIT Jamshedpur.Thinking Like Ramanujan - Volume III invites readers to explore the beauty of mathematics through curiosity, logical reasoning, and the pursuit of mathematical discovery.Discover not only how mathematics works, but why it works.", "item_img_path" : "https://covers1.booksamillion.com/covers/bam/9/79/816/504/9798165048784_b.jpg", "price_data" : { "retail_price" : "12.99", "online_price" : "12.99", "our_price" : "12.99", "club_price" : "12.99", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }

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