Mathematics Study Resources – serie
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26 produkter
Abstract Algebra
Suitable for Self-Study or Online Lectures
Av Marco Hien
Häftad, 2024
551 kr
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This book contains the basics of abstract algebra. In addition to elementary algebraic structures such as groups, rings and solids, Galois theory in particular is developed together with its applications to the cyclotomic fields, finite fields or the question of the resolution of polynomial …
Elementary Galois Theory
A Constructive Approach
Häftad, 2024
607 kr
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Why is the squaring of the circle, why is the division of angles with compass and ruler impossible? Why are there general solution formulas for polynomial equations of degree 2, 3 and 4, but not for degree 5 or higher?This textbook deals with such classical questions in an elementary way in the …
Very First Steps in Random Walks
The Power of Combinatorial Methods and Generating Functions
Häftad, 2025
660 kr
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With this book, which is based on the third edition of a book first written in German about random walks, the author succeeds in a remarkably playful manner in captivating the reader with numerous surprising random phenomena and non-standard limit theorems related to simple random walks and related …
Side Paths in the History of Mathematics
Potentials and Limits of Alternative Approaches
Häftad, 2026
498 kr
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This book presents methods from the history of mathematics that have not become standard methods or even made it into classic textbooks. These alternative approaches were often popular at the time of their creation, but then lost attention compared to today's standard methods and eventually fell …
Tilings of the Plane
From Escher via Möbius to Penrose
Häftad, 2022
716 kr
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The aim of the book is to study symmetries and tesselation, which have long interested artists and mathematicians. Famous examples are the works created by the Arabs in the Alhambra and the paintings of the Dutch painter Maurits Escher. Mathematicians did not take up the subject intensively until …
Numerical Methods for Linear Systems of Equations
An Introduction to Modern Methods With MATLAB® Implementations by C. Vömel
Häftad, 2026
551 kr
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The aim of this book is to provide a comprehensive introduction to solving large systems of equations.In addition to direct algorithms, it presents a wide range of classical and modern solvers – from splitting methods and multigrid techniques to current Krylov subspace methods (CG, GMRES, BiCGSTAB, …
Risk Analysis
Modeling, Assessment and Management of Risks with Practical Examples
Av Claudia Cottin, Sebastian Döhler m. fl.
Häftad, 2027
758 kr
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This textbook presents mathematical methods of risk modeling and analysis in an application-oriented manner. Financial and actuarial aspects are treated jointly, for example with regard to simulation methods, risk measures, and risk aggregation. The book thus provides a solid foundation for …
Stochastic Processes and Financial Mathematics
Häftad, 2023
716 kr
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The book provides an introduction to advanced topics in stochastic processes and related stochastic analysis, and combines them with a sound presentation of the fundamentals of financial mathematics. It is wide-ranging in content, while at the same time placing much emphasis on good readability, …
Encrypt, Sign, Attack
A compact introduction to cryptography
Av Olaf Manz
Häftad, 2022
366 kr
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This book explains compactly, without theoretical superstructure and with as little mathematical formalism as possible, the essential concepts in the encryption of messages and data worthy of protection. The focus is on the description of the historically and practically important cipher, signature …
Basic Concepts of Global Optimization
Av Oliver Stein
Häftad, 2024
660 kr
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This textbook is an introduction to global optimization, which treats mathematical facts stringently on the one hand, but also motivates them in great detail and illustrates them with 80 figures. The book is therefore not only aimed at mathematicians, but also at natural scientists, engineers and …
Modern Cryptography
From RSA to Zero-Knowledge and Beyond
Av Albrecht Beutelspacher, Jörg Schwenk m. fl.
Häftad, 2027
835 kr
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In this book, the most important cryptographic algorithms, protocols and constructions of the last decades are explained and justified. The topics discussed range from public-key cryptography and zero-knowledge protocols to cryptography in blockchains, the Tor network and quantum.The authors …
Asymptotic Stochastics
An Introduction with a View towards Statistics
Häftad, 2024
657 kr
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This textbook, which is based on the second edition of a book that has been previously published in German language, provides a comprehension-oriented introduction to asymptotic stochastics. It is aimed at the beginning of a master's degree course in mathematics and covers the material that can be …
Mathematics of Information
Theory and Applications of Shannon-Wiener Information
Häftad, 2024
312 kr
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Starting with the Shannon-Wiener approach to mathematical information theory, allowing a mathematical "measurement" of an amount of information, the book begins by defining the terms message and information and axiomatically assigning an amount of information to a probability. The second part …
Concepts of Function Theory
Real and Complex Analysis of one Variable
Häftad, 2025
607 kr
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This textbook presents a direct path from real analysis of one variable to function theory. Classical topics of one-dimensional real analysis, such as differential and integral calculus, are largely presented from a complex perspective. The goal is a self-contained exposition extending to the Runge …
Mathematical Structures
From Linear Algebra over Rings to Geometry with Sheaves
Häftad, 2024
660 kr
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This textbook is intended to be accessible to any second-year undergraduate in mathematics who has attended courses on basic real analysis and linear algebra. It is meant to help students to appreciate the diverse specialized mathematics courses offered at their universities. Special emphasis is on …
Code of Mathematics
Proof and Truth
Häftad, 2024
607 kr
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Inspired by recent developments in dependent type theory and infinity categories, this book presents a history of ideas around the topics of truth, proof, equality and equivalence. Besides selected ideas of Platon, Aristoteles, Leibniz, Kant, Frege and others, the results of Gödel and Tarski on …
Musical Scales and their Mathematics
Häftad, 2027
780 kr
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The Musical Scale – A Triviality or a Problem?This book explores a provocative question and soon reveals that combining tones into “harmonious” tonal systems is a surprisingly complex challenge, involving a remarkably rich network of interconnected issues:Why does the familiar scale consist of …
Fundamental Concepts of Mathematics
Set-Theoretic, Algebraic, and Topological Foundations as well as Real and Complex Numbers
Häftad, 2026
420 kr
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This book provides essential foundations of mathematics, covering set theory, algebra, the theory of real and complex numbers, and topology. It serves as the basis for further exploration of mathematics. Not only are the necessary concepts introduced, but also essential – including deeper – …
Basic Concepts of Nonlinear Optimization
Av Oliver Stein
Häftad, 2024
607 kr
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This textbook is an introduction to nonlinear optimization, which treats mathematical concepts stringently on the one hand, but also motivates them in great detail and illustrates them with 42 figures. Therefore, the book is not only aimed at mathematicians, but also at natural scientists, …
Discrete and Algebraic Structures
A Concise Introduction
Av Kolja Knauer, Ulrich Knauer
Häftad, 2025
607 kr
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This textbook presents the topics typically covered in a standard course on discrete structures. It is aimed at students of computer science and mathematics (teaching degree and Bachelor's/Master's) and is designed to accompany lectures, for self-study, and for exam preparation.Through explanatory …
Limits of Mathematics
A Journey Through the Key Areas of Mathematical Logic
Häftad, 2025
551 kr
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Is mathematics free of contradictions? Are there truths beyond what can be proven? Is it possible to encode our mathematical knowledge into a single number?Modern mathematical logic of the twentieth century provides astonishing answers to these questions.This book takes you on a journey through the …
Introduction to the Philosophy of Mathematics
Häftad, 2025
420 kr
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What kind of objects does mathematics investigate, and in what sense do these objects exist? Why are we justified in considering mathematical statements as part of our knowledge, and how can they be validated?A philosophy of mathematics seeks to answer such questions. In this introduction, we …
Introduction to Numerical Mathematics
Theory, Practice and Numerous Examples
Av Thomas Richter, Henry von Wahl m. fl.
Häftad, 2026
366 kr
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This textbook presents the theoretical foundations of numerical mathematics in a modern, application-oriented, and comprehensive way. In addition to the standard content, it includes numerous examples and practical excursions to sustainably enhance understanding. Proofs are presented in a very …
Pythagorean Theorem in 365 Proofs
Exploring the Nature of Mathematical Proof and the Cultural Legacy of the World's Most Famous Theorem
Av Mario Gerwig
Häftad, 2027
621 kr
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This book presents about 365 different proofs of the Pythagorean Theorem in a highly visual and accessible form, while also placing the theorem and its wide variety of proofs into both a mathematical and cultural context. Here, the theorem becomes a model for the discoveries of ancient mathematics, …
Mathematics for Young Mathematicians
Häftad, 2027
621 kr
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This book is a guide for self-study of mathematics as a scientific discipline. It addresses a diverse audience: young people interested in gaining a deeper understanding of the material presented in school, teachers who run math clubs and are looking for material that connects to the school …
Mathematical Methods for Business and Economics
From Calculus to Optimization and Dynamic Systems
Av Karl Mosler, Rainer Dyckerhoff m. fl.
Häftad, 2026
660 kr
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This book introduces main concepts and techniques, enables students to read economic texts, understand economic models and apply optimization methods. It accompanies students throughout their bachelor’s and master’s studies and serves as a reference book. Numerous learning aids, worked examples, …
