Mathematics & Science Part of Books & Guides
Books on mathematics, proofs, notation, physics, and biology.
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- Book Integral Equations A first course in integral equations by Gaurav Tiwari. Explore 24 chapters, 321 exercises, classical and numerical methods, and a course built… View optionsView details
- Book Mathematical Notation Nobody ever taught you to read this. Somewhere in your first year the writing changed. School mathematics was words with the occasional… FreeView details
- Book The Raman Effect: Theory, Discovery, and Applications The Raman effect was discovered on February 28, 1928, by C.V. Raman and K.S. Krishnan in Kolkata. This book covers the complete… FreeView details
- Book Statistical Physics: From Microstates to Ensembles Statistical physics bridges the microscopic world of atoms to the macroscopic world of thermodynamics. This book develops the theory systematically from microstates… FreeView details
- Book Real Sequences: Definitions, Theorems, and Examples Sequences are the foundation of analysis. This book provides a complete treatment from basic definitions through advanced topics like contraction mappings and… FreeView details
- Book Elementary Analysis on Ramanujan's Nested Radicals A free 22-page PDF on Ramanujan's nested radicals, covering denesting, constant-coefficient limits, Herschfeld's convergence criterion, continued fractions, and later exploratory sections. FreeView details
- Book Proofs of Irrationality Proving a number is irrational requires different tools depending on the number. This book covers five distinct methods, each demonstrated with multiple… FreeView details
- Book Number Theory Explorations Number theory is the queen of mathematics, and this book explores three of its most fascinating corners: Fermat numbers, Euler's prime-generating polynomial,… FreeView details
- Book Foundations of Analysis Analysis is the rigorous foundation underneath calculus, and this book covers the essential pillars: inequalities, series convergence, multiple integrals, and more. Foundations… FreeView details
- Book Elements of Integral Equations Integral equations appear everywhere in applied mathematics, physics, and engineering. Elements of Integral Equations is a free 25-page structured introduction: classification, the… FreeView details
- Book Bhaskaracharya's Lilavati: Ancient Indian Mathematics Download a free 29-page PDF companion to Bhaskaracharya's Lilavati with 11 worked problems, four practice problems, ten references, and modern notation. FreeView details
- Book A Trip to Mathematics: From Logic to Equations Mathematics starts with logic and ends with equations. This book covers the entire journey for someone who wants to build genuine mathematical… FreeView details
- Book Trigonometric Identities Trigonometric identities either click or they don't, and most resources make it worse by dumping formulas without context. This page takes a… FreeView details
- Book Cell Biology Cell biology sits at the foundation of everything else in life sciences. Genetics, physiology, biochemistry, medicine: all of it traces back to… FreeView details
