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eBooks
- The books listed below are not freely accessible in general. On the campus of the University of Bonn, especially in the Library of Mathematics, the books can be accessed free of charge. However, please follow the terms and conditions given on the respective page.
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Mathematics books for students - Introductory subjects
Mathematical working, philosophical and motivation
- Albrecht Beutelspacher: Das ist o.B.d.A. trivial!
- Albrecht Beutelspacher: In Mathe war ich immer schlecht
- Hermann Schichl, Roland Steinbauer: Einführung in das mathematische Arbeiten
- Ralf Schindler: Logische Grundlagen der Mathematik
- Pirmin Stekeler-Weithofer: Eine Philosophie der Mathematik
- August Stern: Quantum Theoretic Machines. What is Thought from the Point of View of Physics
Interesting mathematical problems
- Martin Aigner, Günter M. Ziegler: Das Buch der Beweise
- Matthias Beck, Sinai Robins: Das Kontinuum diskret berechnen
Linear algebra and analysis
- Florian Modler, Martin Kreh: Tutorium Analysis 1 und Lineare Algebra 1
- Matthias Plaue, Mike Scherfner: Mathematik für das Bachelorstudium I
- Harald Scheid, Wolfgang Schwarz: Elemente der Linearen Algebra und der Analysis
Analysis
- Herbert Amann, Joachim Escher: Analysis III
- Jürgen Appell: Analysis in Beispielen und Gegenbeispielen
- Herbert Stanley Bear: A Primer of Lebesgue Integration
- Eberhard Behrends: Analysis, Band 1
- Oliver Deiser: Reelle Zahlen
- Jürgen Elstrodt: Maß und Integrationstheorie
- Otto Forster: Analysis 2
- Otto Forster, Rüdiger Wessoly: Übungsbuch zur Analysis 1
- Otto Forster, Thomas Szymczak: Übungsbuch zur Analysis 2
- Eberhard Freitag: Funktionentheorie 2
- Klaus Fritzsche: Grundkurs Funktionentheorie
- Endre Pap: Handbook of Measure Theory
- Klaus D. Schmidt: Maß und Wahrscheinlichkeit
- Rolf Walter: Einführung in die Analysis 1
- Rolf Walter: Einführung in die Analysis 2
- Rolf Walter: Einführung in die Analysis 3
- Dirk Werner: Einführung in die höhere Analysis
Linear Algebra
- Siegfried Bosch : Lineare Algebra
- Rolf Busam, Thomas Epp: Prüfungstrainer Lineare Algebra
- Klaus Jänich: Lineare Algebra
- Hans-Joachim Kowalsky, Gerhard Michler: Lineare Algebra
- Claus Wilhelm Turtur: Prüfungstrainer Lineare Algebra
Mathematics books for students - Advanced subjects
Algebra
- Siegfried Bosch: Algebra
- Michiel Hazewinkel: Handbook of Algebra
- Karl Hofmann, Sidney Morris: Structure of Compact Groups
- Hans Kurzweil: Endliche Körper
- Derek Robinson: An Introduction to Abstract Algebra
- Rainer Schulze-Pillot: Einführung in die Algebra und Zahlentheorie
- Helmut Strade: Simple Lie Algebras over Fields of Positive Characteristic I
- Helmut Strade: Simple Lie Algebras over Fields of Positive Characteristic II
Topology
- Robert J. Daverman, R. B. Sher: Handbook of Geometric Topology
- Allan Hatcher: Algebraic Topology
- Ioan Mackenzie James: Handbook of Algebraic Topology
- Ioan Mackenzie James: History of Topology
- Gerd Laures, Markus Szymik: Grundkurs Topologie
- Victor Zvyagin, Dmitry Vorotnikov: Topological Approximation Methods for Evolutionary Problems of Nonlinear Hydrodynamics
Geometry
- Christian Bär: Elementare Differentialgeometrie
- Werner Ballmann: Lectures on Kähler Manifolds
- Gerhard Burde, Heiner Zieschang: Knots
- Franki J. E. Dillen, Leopold C. A. Verstraelen: Handbook of Differential Geometry
- Gerd Fischer: Complex Analytic Geometry
- Carlos Kenig, Andrew Ranicki, Michael Röckner: Elliptic Curves
- Klaus Lamotke: Riemannsche Flächen
- Walter Meyer: Geometry and its Applications
- Liviu Nicolaescu: The Reidemeister Torsion of 3-Manifolds
- Jürgen Richter-Gebert, Thorsten Orendt: Geometriekalküle
- Jörg-Rüdiger Sack, Jorge Urrutia: Handbook of Computational Geometry
- Felix Schlenk: Embedding Problems in Symplectic Geometry
Number theory
- Johannes Buchmann: Einführung in die Kryptographie
- Peter Bundschuh: Einführung in die Zahlentheorie
- Paulo Ribenboim: Meine Zahlen, meine Freunde
Analysis
- Don Hong, Jianzhong Wang, Robert Gardner: Real Analysis with an Introduction to Wavelets and Applications
- Demeter Krupka, David Saunders: Handbook of Global Analysis
- Reiner Kühnau: Handbook of Complex Analysis: Geometric Function Theory
- Frank Morgan, James F. Bredt: Geometric Measure Theory
- Eric Schechter: Handbook of Analysis and Its Foundations
Set theory
Statistics
- Ellen Baake, Hans-Otto Georgii: Introduction to Probability and Statistics
- Nicolas Bouleau: Error Calculus for Finance and Physics
- Erhard Cramer, Udo Kamps: Grundlagen der Wahrscheinlichkeitsrechnung und Statistik
- Hans Föllmer, Alexander Schied: An Introduction in Discrete Time
- Hans-Otto Georgii: Einführung in die Wahrscheinlichtkeitstheorie und Statistik
- Andrei Khrennikov: Interpretations of Probability
- Ansgar Steland: Basiswissen Statistik
- Helge Toutenburg, Michael Schomaker, Malte Wißmann, Christian Heumann: Arbeitsbuch zur deskriptiven und induktiven Statistik
- Barbara Szyszkowicz: Asymptotic Methods in Probability and Statistics
- Jochen Wengroth: Wahrscheinlichkeitstheorie
Differential equations
- Flaviano Battelli, Michal Fečkan: Handbook of Differential Equations: Ordinary Differential Equations
- Michel Chipot: Handbook of Differential Equations: Stationary Partial Differential Equations
- Constantine M. Dafermos, Milan Pokorny: Handbook of Differential Equations: Evolutionary Equations
- Pael Drábeck, Gabriela Holubová: Elements of Partial Differential Equations
- Matthew J. Gursky: Geometric Analysis and PDEs
- Lars Grüne, Oliver Junge: Gewöhnliche Differentialgleichungen
- Sergey Repin: A Posteriori Estimates for Partial Differential Equations
Applied and numerical mathematics
- Ioannis Argyros: Computational Theory of Iterative Methods
- Christof Eck, Harald Garcke, Peter Knabner: Mathematische Modellierung
- Peter Deuflhard, Andreas Hohmann: Numerische Mathematik 1
- Peter Deuflhard, Andreas Hohmann: Numerische Mathematik 2
- Clive Dym: Principles of Mathematical Modeling
- Johannes Kraus, Svetozar Margenov: Robust Algebraic Multilevel Methods and Algorithms
- Ulrich Kulisch: Theory, Implementation, and Applications
- Martin Hanke-Bourgeois: Grundlagen der Numerischen Mathematik und des Wissenschaftlichen Rechnens
- Gilbert Helmberg: Getting Acquainted with Fractals
- Konrad Jacobs, Dieter Jungnickel: Einführung in die Kombinatorik
- Klaus Jansen, Marian Margraf: Approximative Algorithmen und Nichtapproximierbarkeit
- Itay Neeman: The Determinacy of Long Games
- Pekka Neittaanmäki, Sergey Repin: Reliable Methods for Computer Simulation - Error Control and a Posteriori Estimates
- Hans-Jürgen Reinhardt: Anfangs- und Randwertprobleme
- Aleksandr Samarskii, Petr Vabishchevich: Numerical Methods for Solving Inverse Problems of Mathematical Physics
- Hans Rudolf Schwarz, Norbert Köckler: Numerische Mathematik
Discrete mathematics
Optimization
- Dieter Jungnickel: Optimierungsmethoden
- Giorgio Giorgi, A. Guerraggio, J. Thierfelder: Mathematics of Optimization
Logics
- Johan van Benthem, Alice ter Meulen: Handbook of Logic and Language
- Dov M. Gabbay, John Woods: Handbook of the History of Logic
- R. O. Gandy, C. E. Yates, Solomon Feferman, et. al.: Mathematical Logic
- Dale Jacquette: Philosophy of Logic
Statistics
- Judith Eckle-Kohler, Michael Kohler: Eine Einführung in die Statistik und ihre Anwendungen
- Vadim Serdobolskii: Multiparametric Statistics
Mathemtics and natural sciences
Books for students with mathematics as subsidiara subject
Mathematics for computer scientists
Mathematics for physicists
- Yvonne Choquet-Bruhat, Cécile Dewitt-Morette: Analysis, Manifolds and Physics, Part II
- Helmut Fischer, Helmut Kaul: Mathematik für Physiker, Band 1
- Helmut Fischer, Helmut Kaul: Mathematik für Physiker, Band 2
- Karl-Heinz Goldhorn, Hans-Peter Heinz, Margarita Kraus: Moderne mathematische Methoden der Physik
- Peter Hertel: Mathematikbuch zur Physik
- E.A. De Kerf, G.G.A. Bäuerle and A.P.E. Ten Kroode: Studies in Mathematical Physics
- Klaus Weltner: Mathematik für Physiker 1
- Klaus Weltner: Mathematik für Physiker 2
Mathematics for natural scientists
- Wolfgang Dahmen, Arnold Reusken: Numerik für Ingenieure und Naturwissenschaftler
- Helmut Pruscha, Daniel Rost: Mathematik für Naturwissenschaftler
Mathematics for economists
SPSS
Additional eBook-vendors
In the Library of Mathematics (and in the network of the Mathematica Institute), some up to date mathematics books of Springerlink, the American Mathematical Society, de Gruyter and Elsevier/ScienceDirect are freely accessible. In particular, there are some books of the series Lecture Notes in Mathematics accessible at Springerlink.
The books can be searched for on the following pages:
Search at the American Mathematical Society
Search at Elsevier/ScienceDirect
Please notice that only some of the shown books are accessible.
Further electronically available services
In addition to the eBooks, we offer a multitude of electronically available services: Reference books, databases, software, etc. A list can be found on the following page: