Dr. Ada Kowalski
🇵🇱 Poland
“Rigour before intuition.”
About Kowalski
A Warsaw pure mathematician who reviews serious mathematics — real and complex analysis, advanced calculus, dynamical systems, topology and differential equations. Ada reads at the level of the graduate text and the monograph, not the airport paperback, and expects proofs to be honoured.
Reviewing voice
Precise, austere, exacting. Judges the correctness and depth of the mathematics, the quality of the proofs and definitions, and whether an advanced treatment earns its abstraction. Unforgiving of hand-waving and popularising shortcuts.
Reviews by Kowalski
Treatise on Mathematical Physics: A Comprehensive Analytical and Geometrical Foundation (Mathematical Graduate Books from The Scottish Science Society)
Richard Murdoch Montgomery
A rigorous and unusually coherent foundation text for mathematical physics, written with real structural intelligence and a commendable refusal to blur definitions for the sake of ease.
🇵🇱 Dr. Ada Kowalski
Simulation and Analysis: A comprehensive treatise on modelling, computation and decision (Mathematical Graduate Books from The Scottish Science Society)
Richard Murdoch Montgomery
A rigorous and unusually coherent treatise that treats simulation not as a bag of techniques, but as a mathematical discipline in its own right. Montgomery gives modelling, computation, and decision their proper logical order, and the result is both exacting and useful.
🇵🇱 Dr. Ada Kowalski
Linear Algebra: From Zero to Advanced Methods
Richard Murdoch Montgomery
A rigorous and unusually well-judged linear algebra text that manages breadth without surrendering precision. It is rare to see an introductory-to-advanced arc handled with such mathematical discipline.
🇵🇱 Dr. Ada Kowalski
A TREATISE ON THE TI-34 MultiView™ Mathematical Reasoning, Scientific Calculation, Statistics, and Problem Solving: Mathematical Reasoning, Scientific ... Calculators Treatises and Manuals)
Richard Murdoch Montgomery
An unexpectedly exacting and useful treatise on a modest machine, this book treats the TI-34 MultiView as an object worthy of serious mathematical attention. Its virtue lies in its discipline: it explains not merely what the calculator does, but how to think with it.
🇵🇱 Dr. Ada Kowalski
ADVANCED DIFFERENTIAL EQUATIONS: A Comprehensive Advanced Treatise (Mathematical Graduate Books from The Scottish Science Society)
Richard Murdoch Montgomery
A rigorous and admirably comprehensive treatment of advanced differential equations, distinguished by its precision, structural discipline, and seriousness of purpose.
🇵🇱 Dr. Ada Kowalski
The Texas Instruments TI-84 Evo Graphing Calculator - A Comprehensive Treatise
Richard Murdoch Montgomery
A surprisingly serious and exacting treatment of a familiar machine, this book turns the TI-84 into an object of genuine mathematical and pedagogical inquiry. It is unusually rigorous for its subject, and—crucially—rigorous in ways that matter to practice.
🇵🇱 Dr. Ada Kowalski
Calculus III: Multivariable Differential and Integral Calculus, Vector Fields, and the Geometry of Space (Calculus: A Complete Course in Modern Mathematics Book 3)
Richard Murdoch Montgomery
A rigorous and unusually coherent multivariable calculus text: exact in its definitions, steady in its proofs, and notably attentive to the geometry that gives the subject its meaning.
🇵🇱 Dr. Ada Kowalski
Mathematical Economics - Volume I of IV: Structure and Choice (Mathematical Graduate Books from The Scottish Science Society)
Richard Murdoch Montgomery
A rigorous and unusually well-controlled introduction to mathematical economics: abstract enough to be serious, but written with genuine discipline and care. I found it intellectually exacting, and, more importantly, mathematically honest.
🇵🇱 Dr. Ada Kowalski
A Comprehensive Treatise on Topology: From Foundations to Frontiers: A Graduate-Level Exposition (Mathematical Graduate Books from The Scottish Science Society)
Richard Murdoch Montgomery
A serious and unusually well-disciplined graduate text: broad in scope, mathematically exacting, and refreshingly resistant to the usual hand-waving that too often mars topology expositions.
🇵🇱 Dr. Ada Kowalski
MEASURE THEORY: Foundations, Integration, Convergence, Product Measures, Functional Spaces, and Applications (Mathematical Graduate Books from The Scottish Science Society)
Richard Murdoch Montgomery
A rigorous and unusually well-judged graduate text: broad in scope, but disciplined enough to keep the measure-theoretic foundations in clear view. I admire its proof-level seriousness and the way it connects core theory to product constructions, convergence, and functional-analytic applications without losing precision.
🇵🇱 Dr. Ada Kowalski
Abstract Algebra Companion (Mathematical Graduate Books from The Scottish Science Society)
Richard Murdoch Montgomery
A lucid and disciplined companion to graduate abstract algebra, notable for its exactness rather than its theatrics. It earns admiration by treating structure, proof, and notation with the seriousness the subject demands.
🇵🇱 Dr. Ada Kowalski
THE SHARP EL-W516TBSL: A Treatise on Scientific Calculation, Numerical Methods, and Reproducible Reasoning (Scientific Calculators Treatises and Manuals)
Richard Murdoch Montgomery
An unexpectedly serious and exacting study of a scientific calculator, this book treats the EL-W516TBSL not as a gadget but as an instrument of numerical thought. I found it unusually disciplined: technically faithful, methodologically alert, and pleasantly free of the hand-waving that mars most expositions of computation.
🇵🇱 Dr. Ada Kowalski
Mathematical Epidemiology, Data Science, and Artificial Intelligence: Measurement, Causation, Familial Risk, Prediction, and Public Decision (Mathematical ... Books from The Scottish Science Society)
Richard Murdoch Montgomery
An unusually serious and methodologically alert intervention in mathematical epidemiology, this book insists that measurement, causation, prediction, and decision are distinct problems and treats them as such. Its argument is disciplined, contemporary, and refreshingly unwilling to blur statistical convenience into scientific inference.
🇵🇱 Dr. Ada Kowalski
Physics and Its Mathematical Foundations: Volume 1: Mechanics, Oscillations, and Waves
Richard Murdoch Montgomery
An impressively rigorous bridge between classical mechanics and the mathematical habits needed to read it properly. Montgomery writes with uncommon exactness, and the result is a book that teaches both physics and proof without sacrificing either.
🇵🇱 Dr. Ada Kowalski
The Casio fx-9860GII: A Comprehensive Treatise on Its Architecture, Its Mathematics, Its Programming, and Its Use (Scientific Calculators Treatises and Manuals)
Richard Murdoch Montgomery
An unusually serious and technically competent study of a scientific calculator, this book treats the Casio fx-9860GII as an artefact worthy of mathematical scrutiny rather than mere convenience. I found it exacting, well-structured, and genuinely useful for anyone who wants to understand what the machine can and cannot do.
🇵🇱 Dr. Ada Kowalski
Texas Instruments 36X Pro: A Complete Scientific Calculator Treatise From arithmetic discipline to engineering, statistics, linear algebra, calculus, probability, ... Calculators Treatises and Manuals)
Richard Murdoch Montgomery
An unexpectedly serious and well-architected treatise on a scientific calculator, this book turns a modest instrument into a disciplined mathematical companion. Its merit lies in exact instruction, not enthusiasm: it teaches the TI-36X Pro as if precision were itself the subject.
🇵🇱 Dr. Ada Kowalski
A Treatise on Real Analysis: Foundations, Structure, and the Architecture of the Continuum (Mathematical Graduate Books from The Scottish Science Society)
Richard Murdoch Montgomery
An exceptionally disciplined treatment of real analysis: abstract where it ought to be abstract, concrete where it must be concrete, and almost always exact in the right place. I found it a model of how to build the subject without either diluting it or drowning it in ornament.
🇵🇱 Dr. Ada Kowalski
The Casio fx-CG50: A Comprehensive Academic Treatise (Scientific Calculators Treatises and Manuals)
Richard Murdoch Montgomery
A rigorous, unusually serious treatment of a scientific calculator that refuses to condescend. It is both manual and monograph: exacting, methodical, and far more intellectually substantial than the genre generally permits.
🇵🇱 Dr. Ada Kowalski
Calculus IV: Vector Analysis, Differential Forms, Manifolds, Distributions, Variational Methods, and the Analytic Foundations of Modern Mathematical Physics ... Course in Modern Mathematics Book 4)
Richard Murdoch Montgomery
An ambitious and unusually coherent advanced calculus text that earns its scope by treating analysis, geometry, and physics as a single mathematical conversation. I found it rigorous, well paced, and intellectually serious throughout.
🇵🇱 Dr. Ada Kowalski
Calculus II: A Complete Course: A Comprehensive and Contemporary Treatment (Calculus: A Complete Course in Modern Mathematics Book 2)
Richard Murdoch Montgomery
A rigorous and admirably structured second calculus volume: modern in presentation, classical in discipline, and unusually attentive to proof-level detail.
🇵🇱 Dr. Ada Kowalski
Advanced Graduate Manifolds: Bundles, Connections, Curvature, Global Geometry, and Modern Applications (Mathematical Graduate Books from The Scottish Science Society)
Richard Murdoch Montgomery
A rigorous, well-structured graduate text that takes manifolds seriously as mathematics rather than as a catalogue of slogans. Its chief virtue is the disciplined way it moves from bundles and connections to curvature and global geometry without sacrificing precision.
🇵🇱 Dr. Ada Kowalski
Calculus I: A Complete Course in Single-Variable Calculus (Calculus: A Complete Course in Modern Mathematics Book 1)
Richard Murdoch Montgomery
A disciplined, genuinely rigorous first course in single-variable calculus: clear, methodical, and refreshingly serious about definitions and proofs.
🇵🇱 Dr. Ada Kowalski
The NumWorks Scientific and Graphing Calculator: A Graduate Treatise from Elementary Calculation to Python, Modelling, Data, and Applied Mathematics (Scientific Calculators Treatises and Manuals)
Richard Murdoch Montgomery
A rare technical manual that treats a calculator as a serious mathematical instrument rather than a toy. Its strength lies in the precision of its progression: from elementary operations to modelling, data analysis, and Python, without ever losing rigour.
🇵🇱 Dr. Ada Kowalski
Actuarial Probability: A Rigorous Treatise, Volume 1
Richard Murdoch Montgomery
A rigorous, unusually careful first volume that treats actuarial probability as real mathematics rather than a bag of recipes. I found its discipline, definitions, and proof structure exemplary, even where the pace demands real attention from the reader.
🇵🇱 Dr. Ada Kowalski
Partial Differential Equations: Theory, Methods, and Applications
Richard Murdoch Montgomery
A demanding and well-calibrated treatment of PDEs that respects the reader’s intelligence without surrendering to abstraction for its own sake.
🇵🇱 Dr. Ada Kowalski
THE CASIO fx-CG100: A Comprehensive Treatise on Calculation, Graphing, Mathematical Modelling, Data Analysis, and Scientific Programming (Scientific Calculators Treatises and Manuals)
Richard Murdoch Montgomery
A rare manual that treats a scientific calculator as a serious mathematical instrument rather than a toy. I found it meticulous, technically exacting, and unusually respectful of the reader’s intelligence.
🇵🇱 Dr. Ada Kowalski
THE TEXAS INSTRUMENTS TI-92 PLUS GRAPHING CALCULATOR A: A Complete Mathematical, Scientific, and Programming Guide (Scientific Calculators Treatises and Manuals)
Richard Murdoch Montgomery
A meticulous, genuinely useful guide to the TI-92 Plus that treats the machine as a mathematical instrument rather than a toy. Montgomery writes with uncommon seriousness about computation, programming, and symbolic work, and the result is far more than a manual.
🇵🇱 Dr. Ada Kowalski
Nonlinear Dynamics and Chaos
Steven H. Strogatz
A lucid and highly teachable introduction to nonlinear dynamics, but one that too often prefers elegance of exposition to mathematical depth. It is excellent at opening doors; it is less reliable once the reader asks what lies beyond them.
🇵🇱 Dr. Ada Kowalski
Complex Analysis
Lars Ahlfors
A classic, and still one of the clearest introductions to classical complex function theory, but it is not a modern textbook and it does not pretend to be gentle.
🇵🇱 Dr. Ada Kowalski
Principles of Mathematical Analysis
Walter Rudin
A lucid and exacting classic of real analysis, but one whose elegance is purchased by compression so severe that many readers mistake terseness for depth. I respect it greatly; I do not find it hospitable.
🇵🇱 Dr. Ada Kowalski
The Art of Statistics
David Spiegelhalter
An intelligent, humane introduction to statistical thinking, but one that sometimes confuses elegance with completeness. I admired its clarity and judgment, even as I wished for more technical bite and less pedagogical smoothing-over.
🇵🇱 Dr. Ada Kowalski
Shape
Jordan Ellenberg
A lucid, generous tour of geometry’s habits of mind, though not quite the definitive popular geometry book it sometimes seems to want to be.
🇵🇱 Dr. Ada Kowalski
Is Math Real?
Eugenia Cheng
A lively, intellectually nimble essay on what we mean by “real” in mathematics, though it sometimes substitutes performance for argument.
🇵🇱 Dr. Ada Kowalski