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Another Sort of Mathematics
Years ago, James V. Schall wrote Another Sort of Learning, a book listing those things you should read but probably were never required to read. It is not a curriculum, except maybe one “for life.” This book you have in your hands is something of a mathematical tribute to Schall’s basic idea and ...
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Entire Functions
Entire functions are everywhere in mathematics, and they also occur frequently in other fields such as engineering and physics. They appear so naturally that it is often not even stated that they are entire functions.Starting with the growth and zeros of entire functions, this book then moves on ...
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Numerical Analysis
Students completing a year of Calculus can find novel and practical challenges in mathematics using numerical analysis. This text follows the mathematician's process of examining a problem and deciding which algebraic or calculus techniques lead to reliable solutions. Each algorithm includes all ...
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Gödel's Proof
An accessible explanation of Kurt Gödel's groundbreaking work in mathematical logicIn 1931 Kurt Gödel published his fundamental paper, "On Formally Undecidable Propositions of Principia Mathematica and Related Systems." This revolutionary paper challenged certain basic assumptions underlying much...
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Advanced Mathematics
No detailed description available for "Advanced Mathematics".
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Real Analysis
While many real analysis texts prioritize brevity over clarity, this volume focuses on the student’s conceptual journey. The text begins with a rigorous construction of the Real Number System from the Field and Order Axioms, moving through the topology of R, sequences, and series. It provides a t...
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Real Analysis - An Introduction
Designed for a broad spectrum of mathematics majors, not only those pursuing graduate school, this book also provides a thorough explanation of undergraduate Real Analysis. Through a developmentally appropriate narrative that integrates informal discussion, motivation, and basic proof writing app...
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Measure and Integration
This textbook explores deeply the theory of measure and integration through examples, counterexample, exercises and problem solving. As a first course, the book is designed to provide a self-contained document for graduate students and researchers involved in analysis and probability. The general...
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Partial Differential Equations in Fluid Mechanics
This book investigates fundamental models in fluid mechanics, including the Navier–Stokes equations and magnetohydrodynamics system, and develops analytical tools drawn from both harmonic analysis and stochastic analysis. It begins with a review of measure theory and functional analysis, followed...
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The Structure of Compact Groups
The subject matter of compact groups is frequently cited in fi elds like algebra, topology, functional analysis, and theoretical physics. This book serves the dual purpose of providing a text for upper level graduate students, and of being a source book for researchers who need the structure and ...
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The Mathematics of Machine Learning
This book is an introduction to machine learning, with a strong focus on the mathematics behind the standard algorithms and techniques in the field, aimed at senior undergraduates and early graduate students of Mathematics. There is a focus on well-known supervised machine learning algorithms, ...
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Mathematics of Deep Learning
This course aims at providing a mathematical perspective to some key elements of the so-called deep neural networks (DNNs). Much of the interest on deep learning has focused on the implementation of DNN-based algorithms. Our hope is that this compact textbook will offer a complementary point o...
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Theoretical and Computational Chemistry
The mathematical structure of gauge theory is a union of many modern algebraic concepts. The book provides the background to understand gauge theory and use it in computational chemistry. It introduces two powerful methods used in modern computational chemistry: The Diffusion Monte Carlo algor...
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The Matrix Algebra of Logic
In these times when matrix algebra is proving to be a fundamental tool in emerging theories such as quantum computing and the neural models that underpin generative AI, the analysis of logical operations using matrix algebra provides us with a fresh perspective on logic and opens up an approach t...
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Flight Science
Flight Science covers the topic from the ground up: both the math and science as they relate to the subject of aviation to the topics that affect how an aircraft performs: meteorology, thermodynamics, combustion, drones, mechanics, dynamics, navigation, flight plans, and other general aviation-re...
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Un piccolo esempio. La psicagogia matematica di Platone
‘Let me give you a simple example of what I mean, and you will see the rest for yourself.’ This is how Plato usually introduces mathematical examples to illustrate important philosophical puzzles. The research presented in this book offers a systematic analysis of these examples and demonstrates ...
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The Origin and Significance of Zero
Winner of the 2024 Outstanding Academic Titles award in Choice, a publishing unit of the Association of College & Research Libraries (ACRL) Zero has been axial in human development, but the origin and discovery of zero has never been satisfactorily addressed by a comprehensive, systematic an...
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Translating Technology in Africa. Volume 1: Metrics
Translating Technology in Africa brings together authors from different disciplines who engage with Science and Technology Studies (STS) to stimulate curiosity about the diversity of sociotechnical assemblages on the African continent. The contributions provide detailed praxeographic examinations...
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Syntax on the Edge
What is the most descriptively and explanatorily adequate format for syntactic structures and how are they constrained? Different theories of syntax have provided various answers: sets, feature structures, tree diagrams… Building on formal and empirical insights from a wide variety of approaches ...
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Mathematics and Physics in Classical Islam
This book highlights the emergence of a new mathematical rationality and the beginning of the mathematisation of physics in Classical Islam. Exchanges between mathematics, physics, linguistics, arts and music were a factor of creativity and progress in the mathematical, the physical and the socia...
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Economics and Mathematical Modeling in Health-Related Research
The definition of a healthcare system evolves continuously, becoming broader and more complex with each rendering. Healthcare systems can consist of many different elements, including but not limited to: access to comprehensive medical care, health promotion, disease prevention, institutional fra...
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Euclid's Elements in Hebrew Garb
Euclid's Elements is one of the canonical texts that shaped our cultural heritage. It was translated from Greek into Arabic and from Arabic into Hebrew and Latin. There is little agreement about the textual history of the Arabic translations. The present book offers for the first time a critical ...
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Designing Human(e) Business Organizations
This book is a guide for those who lead, design, and contribute to (business) organizations. Our organizations are being redesigned, as we speak. This begs the questions, who is doing the redesigning, based on which assumptions, and how do we even conceptualize these design choices? By clearly ...
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Conceptual Mathematics and Literature
The old practices of interpretation have been exhausted, and the humanities and social sciences are facing a crisis. Is there a way out of the labyrinth of reading? In this book, Professor Neuman presents a challenging approach to interpreting texts and reading literature through the spectacles o...
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Theôria as Cognition in Plato
How Plato appropriated the pilgrim’s theôria into his own philosophy has been the subject of many noble and insightful studies. When Plato took up this concept, he launched an understanding that would have a very long life in classical philosophy: the idea that doing philosophy itself has an esse...
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Pi (π) in Nature, Art, and Culture
In Pi (π) in Nature, Art, and Culture Marcel Danesi revisits the importance of π as a pattern in the structure of reality, fitting in with the Pythagorean view of Order. Pi has cropped up in formulas that describe natural and physical structures which, on the surface, seem to have nothing to do w...
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International Handbook of Mathematics Teacher Education: Volume 4
This second edition of the International Handbook of Mathematics Teacher Education builds on and extends the topics/ideas in the first edition while maintaining the themes for each of the volumes. Collectively, the authors looked back beyond and within the last 10 years to establish the state-of-...
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International Handbook of Mathematics Teacher Education: Volume 2
This second edition of the International Handbook of Mathematics Teacher Education builds on and extends the topics/ideas in the first edition while maintaining the themes for each of the volumes. Collectively, the authors look back beyond and within the last 10 years to establish the state-of-th...
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International Handbook of Mathematics Teacher Education: Volume 1
This second edition of the International Handbook of Mathematics Teacher Education builds on and extends the topics/ideas in the first edition while maintaining the themes for each of the volumes. Collectively, the authors looked back beyond and within the last 10 years to establish the state-of-...
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Living Culturally Responsive Mathematics Education with/in Indigenous Communities
Living Culturally Responsive Mathematics Education with/in Indigenous Communities explores challenges and possibilities across international contexts, involving Indigenous and non-Indigenous scholars, teachers and Elders responding to calls for improved education for all Indigenous students. Auth...
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International Handbook of Mathematics Teacher Education: Volume 3
This second edition of the International Handbook of Mathematics Teacher Education builds on and extends the topics/ideas in the first edition while maintaining the themes for each of the volumes. Collectively, the authors looked back beyond and within the last 10 years to establish the state-of-...
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Between Tradition and Innovation
In Between Tradition and Innovation, Ad Meskens traces the profound influence of a group of Flemish Jesuits on the course of mathematics in the seventeenth century. Using manuscript evidence, this book argues that one of the Flemish mathematics school’s professors, Gregorio a San Vicente (1584–16...
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The Language of Mathematics Education
The Language of Mathematics Education: An Expanded Glossary of Key Terms and Concepts in Mathematics Teaching and Learning offers mathematics teachers, mathematics education professionals and students a valuable resource in which common terms are defined and expounded upon in short essay format. ...
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Distinctions of Reason and Reasonable Distinctions
Distinctions of Reason and Reasonable Distinctions is an intellectual biography of John Wallis (1616-1703), professor of mathematics at Oxford for over half a century. His career spans the political tumult of the English Civil Wars, the religious upheaval of the Church of England, and the fascina...
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Integrating 3D Printing into Teaching and Learning
Three dimensional or 3D printing technology is a process of making three dimensional solid objects from a digital file. Currently, low cost and affordable 3D printers enable teachers, schools, and higher education institutions to make 3D printing a part of the curriculum. Integrating 3D printing ...
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Researching and Using Progressions (Trajectories) in Mathematics Education
The relationship between research and practice has long been an area of interest for researchers, policy makers, and practitioners alike. One obvious arena where mathematics education research can contribute to practice is the design and implementation of school mathematics curricula. This observ...
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The Narrative of Mathematics Teachers
The issue of mathematics teaching and its impact on learners' attainments in this subject has continuously been on the public agenda. The anthology of chapters in this book consists of varied up-to-date studies of some of the best mathematics education researchers and mathematics teaching experts...
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The Commentary of al-Nayrizi on Books II-IV of Euclid's Elements of Geometry
The Commentary of al-Nayrizi (circa 920) on Euclid’s Elements of Geometry occupies an important place both in the history of mathematics and of philosophy, particularly Islamic philosophy. It is a compilation of original work by al-Nayrizi and of translations and commentaries made by others, such...
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Statistiek voor onderzoekers
Dit boek gaat in op algemene principes van statistiek en modellering aan de hand van toepassingen uit landbouw- en milieu-onderzoek. Statistiek levert methoden voor het doelmatig opzetten van onderzoek, het evalueren van waarnemingen en het trekken van conclusies. Deze methoden zijn gebaseerd op ...
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"Mathesis of the Mind"
This is the first major study in any language on J.G. Fichte’s philosophy of mathematics and theory of geometry. It investigates both the external formal and internal cognitive parallels between the axioms, intuitions and constructions of geometry and the scientific methodology of the Fichtean sy...
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How Language Informs Mathematics
In How Language Informs Mathematics Dirk Damsma shows how Hegel’s and Marx’s systematic dialectical analysis of mathematical and economic language helps us understand the structure and nature of mathematical and capitalist systems. More importantly, Damsma shows how knowledge of the latter can in...
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Essays in the Philosophy and History of Logic and Mathematics
The book is a collection of the author’s selected works in the philosophy and history of logic and mathematics. Papers in Part I include both general surveys of contemporary philosophy of mathematics as well as studies devoted to specialized topics, like Cantor's philosophy of set theory, the Chu...
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Propositions
This special issue of GPS collects 11 papers (and a long introduction), by leading philosophers and young researchers, which tackle more or less from close the topic of propositions by trying to provide the reader with a cross-section of the ongoing debate in this area. The raised issues range ov...
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Heidegger und die Logik
Martin Heidegger hat sich in seinem Denken immer wieder mit Fragen der Logik auseinandergesetzt. Die Beiträge dieses Bandes gehen dem Verhältnis Heideggers zur Logik nach und zeigen, inwiefern es möglich ist, Heideggers gesamten Denkweg als den Denkweg eines Logikers zu bezeichnen.
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Essays on Frege’s Conception of Truth
In his writings on the foundations of logic, Gottlob Frege, the father of modern logic, sketched a conception of truth that focuses on the following questions: What is the sense of the word “true”? Is truth a definable concept or a primitive one? What are the kinds of things of which truth is pre...
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Arithmetic and Ontology
This volume documents a lively exchange between five philosophers of mathematics. It also introduces a new voice in one central debate in the philosophy of mathematics. Non-realism, i.e., the view supported by Hugly and Sayward in their monograph, is an original position distinct from the widel...
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Essays in Logic and Ontology
The aim of this book is to present essays centered upon the subjects of Formal Ontology and Logical Philosophy. The idea of investigating philosophical problems by means of logical methods was intensively promoted in Torun by the Department of Logic of Nicolaus Copernicus University during last d...
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On the Mathematical Method and Correspondence with Exner
The Prague Philosopher Bernard Bolzano (1781-1848) has long been admired for his groundbreaking work in mathematics: his rigorous proofs of fundamental theorems in analysis, his construction of a continuous, nowhere-differentiable function, his investigations of the infinite, and his anticipation...
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Duncan Liddel (1561-1613)
This collective volume in the history of early-modern science and medicine investigates the transfer of knowledge between Germany and Scotland focusing on the Scottish mathematician and physician Duncan Liddel of Aberdeen. It offers a contextualized study of his life and work in the cultural and ...
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New Essays on the Philosophy of Michael Dummett
Ever since the publication of 'Truth' in 1959 Sir Michael Dummett has been acknowledged as one of the most profoundly creative and influential of contemporary philosophers. His contributions to the philosophy of thought and language, logic, the philosophy of mathematics, and metaphysics have set ...
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Akribeia: Certainty and Ontology of Mathematics in Alessandro Piccolomini's De certitudine mathematicarum
This book provides a comprehensive study of the origins of seminal early modern debates on the certainty and ontology of mathematics. It analyzes Alessandro Piccolomini’s De certitudine mathematicarum (1547), a work that ignited widespread controversy by challenging the scientific status of mathe...
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Giuochi mathematici by Piero di Niccolò d’Antonio da Filicaia
This volume explores the treatise Giuochi mathematici, which is only the second known collection of mathematical riddles written in Italian. This treatise was written by Piero d'Antonio di Nicolao da Filicaia between 1515 and 1516, but was not published at the time. It offers a fascinating glimps...
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Pre-modern Mathematical Thought
This book takes readers through an exploration of fundamental discussions that redefined mathematics and its philosophical significance in the centuries foregoing modernity. From William of Auvergne’s paradoxes of infinity to Christoph Clavius’ interpretation of Euclidean principles, it examines ...
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Algebraische Topologie
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Wahrscheinlichkeitstheorie
Bruno de Finetti gehört zu den wichtigsten Vertretern der sogenannten subjektiven Wahrscheinlichkeitstheorie. Hier finden Sie die zusammenfassende Darstellung dieser Theorie auf ihrem neuesten Stand.
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Die Deutsche Schachmeisterschaft in Bad Aachen 1934
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Mitteldeutsche Schachturniere 1923
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Die Logarithmen der natürlichen Zahlen und der Kreisfunktionen
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Die Lehre von der Zentralprojektion im vierdimensionalen Raume
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Algebra
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Theorie der Flächenkrümmung
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Nichteuklidische Geometrie
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Vierstellige Tafeln und Gegentafeln
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Mathematische Methoden der Signalverarbeitung
Die einzige moderne Darstellung der mathematischen Methoden zur Signalverarbeitung. Ziel dieses Buches ist es, eine Brücke von der Mathematik zu den Anwendungen und zum Einsatz moderner Software zu schlagen. So beinhaltet dieses Buch nicht nur eine Beschreibung der klassischen diskreten und ...
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Praktische Mathematik
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Sammlung von Lehrsätzen, Formeln und Aufgaben aus der ebenen Geometrie, analytischen und ebenen Trigonometrie, ebenen Polygonometrie, Stereometrie, sphärischen Trigonometrie und sphärischen Polygonometrie
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Arithmetik und Algebra
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Mathematik für die Praxis des Naturwissenschaftlers und Ingenieurs
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Aufgaben zur elementaren Funktionentheorie
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Grundlagen der allgemeinen Theorie der analytischen Funktionen
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Einführung in die lineare Algebra
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Allgemeine Topologie
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Roulette
Ist Roulette tatsächlich ein schneller Weg zu sehr viel Geld? Der Autor analysiert die verschiedenen Spielmethoden durch Computersimulation und erläutert die wahrscheinlichkeitstheoretischen Zusammenhänge.
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Graphentheorie
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Kategorien und Automate
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Einführung in die Zahlentheorie
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Praxis der Differentialgleichungen
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Kleines Handbuch der Vermessung unter Berücksichtigung der Vermessung beim Tiefbau
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Mehrdimensionale Integration
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Vierstellige Tafeln zum praktischen Rechnen in Unterricht und Beruf
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Praxis der Differentialgleichungen
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Vierstellige Tafeln zum praktischen Rechnen in Unterricht und Beruf
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Aufgaben zur Ingenieurmathematik
Das Übungsbuch für die zentralen Gebiete der Ingenieurmathematik: Differenzialgleichungen, numerische und systemtheoretische Methoden. Zahlreiche Übungsbeispiele und Klausuraufgaben werden besprochen, ausführliche Lösungswege werden aufgezeigt. Zur leichten Orientierung werden die erforderli...
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Erläuterungen und Beispiele für den Gebrauch der vierstelligen Tafeln zum praktischen Rechnen
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Mathematik anschaulich
Dieses Buch ist ein unentbehrlicher Leitfaden für alle, die sich zu Beginn ihres Studiums mit Mathematik beschäftigen und sich dabei von dem effektiven und vielseitigen Programm Maple helfen lassen wollen. Insbesondere die Graphiken - dreidimensionale Graphiken können sogar nach Belieben ged...
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Reihenentwicklungen in der mathematischen Physik
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Einführung in die Theorie der algebraischen Funktionen einer Veränderlichen
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Kleines Lehrbuch der Statistik
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Algebra
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Studien über die Reduction der Potentialgleichung auf gewöhnliche Differentialgleichungen
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Einführung in die Theorie der Spiele
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Einführung in die Theorie der Spiele
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