Product collection
Books on mathematics, proofs, notation, physics, and biology.
Current selection
Every product in this collection is listed below. Choose another category or brand whenever you need it.
A first course in integral equations by Gaurav Tiwari. Explore 24 chapters, 321 exercises, classical and numerical methods, and a course built around checking your answers. Available on Amazon in Kindle and paperback editions.
Nobody ever taught you to read this. Somewhere in your first year the writing changed. School mathematics was words with the occasional symbol.
The Raman effect was discovered on February 28, 1928, by C.V. Raman and K.S. Krishnan in Kolkata. This book covers the complete story: the science behind inelastic light scattering, the experimental discovery, the Nobel Prize, and modern applications in spectroscopy, material science, and medical diagnostics. A comprehensive resource on this fundamental physics phenomenon.
Statistical physics bridges the microscopic world of atoms to the macroscopic world of thermodynamics. This book develops the theory systematically from microstates and ensembles through partition functions and phase transitions. It's a structured introduction for physics students who want to understand how microscopic behavior produces observable physical properties.
Sequences are the foundation of analysis. This book provides a complete treatment from basic definitions through advanced topics like contraction mappings and fixed-point theorems. Real Sequences covers definitions, convergence criteria, important theorems, and worked examples that build deep understanding of this fundamental mathematical concept.
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.
Proving a number is irrational requires different tools depending on the number. This book covers five distinct methods, each demonstrated with multiple examples and varying levels of difficulty. Proofs of Irrationality provides a focused, proof-based study of irrationality that builds mathematical reasoning skills while exploring one of number theory's fundamental concepts.
Number theory is the queen of mathematics, and this book explores three of its most fascinating corners: Fermat numbers, Euler's prime-generating polynomial, and related topics. Number Theory Explorations provides accessible but rigorous coverage of these classic problems, connecting historical developments to modern understanding for students and enthusiasts alike.
Analysis is the rigorous foundation underneath calculus, and this book covers the essential pillars: inequalities, series convergence, multiple integrals, and more. Foundations of Analysis provides the mathematical rigor that calculus textbooks often skip, building the proof-based understanding that serious mathematics students need for advanced study and research.
Integral equations appear everywhere in applied mathematics, physics, and engineering. Elements of Integral Equations is a free 25-page structured introduction: classification, the square-integrable foundation, conversions from differential equations, Green's functions, and an overview of Fredholm theory, with 26 worked examples where every computation is shown.
Download a free 29-page PDF companion to Bhaskaracharya's Lilavati with 11 worked problems, four practice problems, ten references, and modern notation.
Mathematics starts with logic and ends with equations. This book covers the entire journey for someone who wants to build genuine mathematical understanding from the ground up. From foundational logic and set theory through algebra and analysis, A Trip to Mathematics provides a structured path through the core ideas that underpin all of mathematics.
Trigonometric identities either click or they don't, and most resources make it worse by dumping formulas without context. This page takes a different approach, organizing trig identities with clear explanations, proofs, and practical applications. From Pythagorean and reciprocal identities to double-angle and sum-to-product formulas, everything you need is here in one place.
Cell biology sits at the foundation of everything else in life sciences. Genetics, physiology, biochemistry, medicine: all of it traces back to understanding cells. This comprehensive resource covers cell structure, function, division, signaling, and the molecular mechanisms that drive life at its most fundamental level, organized for students and researchers.
