Collection: Mathematics
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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
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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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Inside Finite Elements
All relevant implementation aspects of finite element methods are discussed in this book. The focus is on algorithms and data structures as well as on their concrete implementation. Theory is covered only as far as it gives insight into the construction of algorithms. In the exercises, a complete...
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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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Applications in Rigorous Quantum Field Theory
The series de Gruyter Studies in Mathematics was founded in 1982 by the late Professor Heinz Bauer and Professor Peter Gabriel. The series publishes monographs and textbooks in mathematics and its applications. Apart from covering important areas of current interest, a major aim is to make topi...
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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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Error Freed CFD Mathematics
Error Freed CFD Mathematics analytically derives and validates nonlinear continuum calculus alterations to Navier-Stokes partial differential equation systems that completely annihilate the legacy CFD theory/practice intrinsic error mechanisms spatial-temporal discretization generated instabili...
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Locally Convex Spaces
This book provides an updated introductory textbook on the topic of locally convex topological vector spaces. Readers who enjoy combinations of topology, analysis and linear algebra will discover fascinating relevance in this work. The target audience is anyone, such as graduate students and rese...
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Neoplatonism and the Art of Calculation in Medieval Iceland
GKS 1812 is a broadly encyclopedic work consisting of four texts (identifiable by distinct scribal hands) composed during the 12th through 14th centuries. Among the various works included in the manuscript are two of a specifically mathematical nature: an Old Norse prose translation of the Carmen...
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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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Cambridge International AS & A Level Mathematics Pure Mathematics 2 and 3 second edition
Exam board: Cambridge Assessment International EducationLevel: A-levelSubject: MathematicsFirst teaching: September 2018First exams: Summer 2020Endorsed by Cambridge Assessment International Education to provide full support for Paper 2 and 3 of the syllabus for examination from 2020.Take mathema...
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A Course in Functional Analysis
The purpose of this book is to provide a detailed treatment of the essential aspects of Banach spaces, Hilbert spaces and Banach algebras are needed for further study in areas such as dynamical systems, partial differential equations, and abstract Fourier analysis. The book assumes the reader ha...
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Set Numerische Mathematik Band I + II
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Abstract Algebra
A structural approach to abstract algebra, providing a transparent and mathematically sound introduction to groups, rings, and fields.The text is built on the philosophy that abstraction should never be divorced from algorithmic computation; every abstract definition is paired with a computationa...
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Set: Numerical Mathematics, Vol. 1+2
Numerical mathematics is one of the cornerstones of the study of mathematics, engineering, physics and computer science. This two-volume textbook is designed for introductory lectures and lays a solid foundation for further learning units. The text is based on lecture manuscripts that the author...
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Elementary Operator Theory
This is the 2nd, revised and upgraded edition of the book which is intended as a text for teaching a one-semester graduate course in operator theory “from scratch,” i.e., not as a sequel to a functional analysis course, with the basics of the spectral theory of linear operators taking the center ...
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Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability, Volume IV
This title was originally published in 1956. Many titles in the Voices Revived program are also newly available as ebooks, offered at a discounted price to support wider access to scholarly work.
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Joint Statistical Papers
This title was originally published in 1967. Many titles in the Voices Revived program are also newly available as ebooks, offered at a discounted price to support wider access to scholarly work.
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Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability, Volume II, Part I
This title was originally published in 1956. Many titles in the Voices Revived program are also newly available as ebooks, offered at a discounted price to support wider access to scholarly work.
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A Selection of Early Statistical Papers of J. Neyman
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Exploring Data Analysis
This title was originally published in 1974. Many titles in the Voices Revived program are also newly available as ebooks, offered at a discounted price to support wider access to scholarly work.
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Mathematical Theory of Switching Circuits and Automata
By applying Boolean algebra to the designing of circuits, C. E. Shannon practically created the switching theory which is necessary to the development of electronic computers. For the next three decades much research was done and most of the major problems of logical design were solved. Recent in...
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Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability, Volume V
This title was originally published in 1972. Many titles in the Voices Revived program are also newly available as ebooks, offered at a discounted price to support wider access to scholarly work.
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Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability, Volume III
This title was originally published in 1961. Many titles in the Voices Revived program are also newly available as ebooks, offered at a discounted price to support wider access to scholarly work.
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Introductory Artillery Mathematics and Antiaircraft Mathematics
This title was originally published in 1943. Many titles in the Voices Revived program are also newly available as ebooks, offered at a discounted price to support wider access to scholarly work.
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A Decision Method for Elementary Algebra and Geometry
This revised edition of A Decision Method for Elementary Algebra and Geometry presents the culmination of research begun in 1930, which laid foundational results in algebraic and geometric completeness. Originally intended for publication in 1939 by Hermann & Cie, Paris, the onset of war dela...
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Cambridge Primary Mathematics Learner's Book 1 Second Edition
This title has been endorsed by Cambridge Assessment International Education Master the essential mathematical skills that underpin the new Cambridge Primary Mathematics curriculum framework (0096), with specifically sign-posted tasks and activities rooted in the mastery approach. - G...
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Cambridge Primary Mathematics Learner's Book 4 Second Edition
This title has been endorsed by Cambridge Assessment International Education Master the essential mathematical skills that underpin the new Cambridge Primary Mathematics curriculum framework (0096), with specifically sign-posted tasks and activities rooted in the mastery approach. - G...
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Exam Practice Workbook for Mathematics for the IB Diploma: Analysis and approaches SL
Consolidate learning and develop problem solving skills through exam practice questions; ideal for independent learning, homework or extension activities.· Strengthen skills and consolidate knowledge with a wealth of advice and questions that mirrors the syllabus line by line. · Prep...
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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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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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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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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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Körper mit krummen Begrenzungsflächen
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Computersimulation von Regelungen
In der modernen Regelungstechnik werden zunehmend Rechner zur Simulation und zum Entwurf von Regelungen eingesetzt. Das Buch führt in das Thema ein und zeigt, wie einfach und vorteilhaft die numerische Lösung von Differentialgleichungen sein kann. Mit Hilfe des Runge-Kutta-Verfahrens werden ...
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Elemente der Funktionentheorie
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Nichtparametrische Analyse longitudinaler Daten
Das Buch richtet sich sowohl an Statistiker und Biometriker in der Praxis als auch an die Anwender, die sich mit den Auswertungsverfahren ihrer Daten und der näheren Beschreibung dieser Methoden beschäftigen möchten. Die Verfahren und Modelle werden anhand zahlreicher Beispiele aus Medizin, Pharm...
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Diskrete optimale Steuerungsprobleme und konvexe Optimierung
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Theorie der Spiele und Linearprogrammierung
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Mathematische Mußestunden
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Lehrbuch der Mathematik
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Praxis der Differentialgleichungen
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Höhere Analysis - Funktionentheorie und gewöhnliche Differentialgleichungen
Schon immer suchten Mathematikstudenten und -studentinnen eine kompakte Darstellung der Funktionentheorie und der Differentialgleichungen. Sowohl für das Diplom wie für das höhere Lehramt gehören beide Gebiete zum Prüfungsstoff: hier ist das ideale Repetitorium, mit dem die Prüfungsvorbereit...
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Einführung in die analytische Geometrie
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Vom Calculus zum Chaos
Eine spannende Abhandlung zu ausgewählten Fragen der Mechanik quer durch die Jahrhunderte der Physik. Ohne großen mathematischen Ballast zeigt Acheson, wie hier die Infinitesimalrechnung - oder auch Calculus - den passenden Schlüssel zum Verständnis liefert. Das dynamische Verhalten der vorg...
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Einführung in die Determinantentheorie einschließlich der Fredholmschen Determinanten
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Grundbegriffe und Hauptsätze der höheren Mathematik
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Partielle Differentialgleichungen
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Einführung in die analytische Geometrie
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Die reellen Zahlen als Fundament und Baustein der Analysis
vielen Studienanfängern der Mathematik erscheint der axiomatische Aufbau der reellen Zahlen unverständlich und schwer - das muß nicht sein! Dieses Buch führt in leicht nachvollziehbaren Schritten in das Thema ein und ist daher die ideale Ergänzung zur Analysisvorlesung und bestens geeignet fü...
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Analytische Geometrie
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Lehrbuch der mathematischen Geographie
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Die wichtigsten Darstellungsmethoden. Grund- und Aufriß ebenflächiger Körper
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