Springer Undergraduate Mathematics Series – serie
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117 produkter
Abstract Algebra
An Introductory Course
Häftad, 2018
420 kr
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This carefully written textbook offers a thorough introduction to abstract algebra, covering the fundamentals of groups, rings and fields. The first two chapters present preliminary topics such as properties of the integers and equivalence relations. The author then explores the first major …
Ordinary Differential Equations
Analysis, Qualitative Theory and Control
Av Hartmut Logemann, Eugene P. Ryan
Häftad, 2014
458 kr
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The book comprises a rigorous and self-contained treatment of initial-value problems for ordinary differential equations. It additionally develops the basics of control theory, which is a unique feature in current textbook literature.The following topics are particularly emphasised:• existence, …
History of Abstract Algebra
From Algebraic Equations to Modern Algebra
Av Jeremy Gray
Häftad, 2018
442 kr
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This textbook provides an accessible account of the history of abstract algebra, tracing a range of topics in modern algebra and number theory back to their modest presence in the seventeenth and eighteenth centuries, and exploring the impact of ideas on the development of the subject.Beginning …
Mathematics for Finance
An Introduction to Financial Engineering
Av Marek Capiński, Tomasz Zastawniak
Häftad, 2010
395 kr
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Mathematics for Finance: An Introduction to Financial Engineering combines financial motivation with mathematical style. Assuming only basic knowledge of probability and calculus, it presents three major areas of mathematical finance, namely Option pricing based on the no-arbitrage principle in …
Numerical Methods for Partial Differential Equations
Av G. Evans, J. Blackledge m. fl.
Häftad, 1999
388 kr
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The subject of partial differential equations holds an exciting and special position in mathematics. Partial differential equations were not consciously created as a subject but emerged in the 18th century as ordinary differential equations failed to describe the physical principles being studied. …
Multivariate Calculus and Geometry
Av Seán Dineen
Häftad, 2014
387 kr
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Multivariate calculus can be understood best by combining geometric insight, intuitive arguments, detailed explanations and mathematical reasoning. This textbook not only follows this programme, but additionally provides a solid description of the basic concepts, via familiar examples, which are …
Linear Algebra
Av Jörg Liesen, Volker Mehrmann
Häftad, 2025
551 kr
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This self-contained textbook, now in a thoroughly revised and expanded second edition, takes a matrix-oriented approach to Linear Algebra. It presents a complete theory, including all details and proofs, culminating in the Jordan canonical form and its derivation. Throughout, the book emphasizes …
Essential Partial Differential Equations
Analytical and Computational Aspects
Av David F. Griffiths, John W. Dold m. fl.
Häftad, 2015
388 kr
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This volume provides an introduction to the analytical and numerical aspects of partial differential equations (PDEs). It unifies an analytical and computational approach for these; the qualitative behaviour of solutions being established using classical concepts: maximum principles and energy …
Essential Real Analysis
Häftad, 2017
388 kr
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This book provides a rigorous introduction to the techniques and results of real analysis, metric spaces and multivariate differentiation, suitable for undergraduate courses.Starting from the very foundations of analysis, it offers a complete first course in real analysis, including topics rarely …
Numerical Methods for Ordinary Differential Equations
Initial Value Problems
Av David F. Griffiths, Desmond J. Higham
Häftad, 2010
387 kr
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Numerical Methods for Ordinary Differential Equations is a self-contained introduction to a fundamental field of numerical analysis and scientific computation. Written for undergraduate students with a mathematical background, this book focuses on the analysis of numerical methods without losing …
Game Theory
Decisions, Interaction and Evolution
Häftad, 2006
389 kr
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This book is an introduction to game theory from a mathematical perspective. It is intended to be a ?rst course for undergraduate students of mathematics, but I also hope that it will contain something of interest to advanced students or researchers in biology and economics who often encounter the …
Elementary Differential Geometry
Häftad, 2010
389 kr
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Elementary Differential Geometry presents the main results in the differential geometry of curves and surfaces suitable for a first course on the subject. Prerequisites are kept to an absolute minimum – nothing beyond first courses in linear algebra and multivariable calculus – and the most direct …
Worlds Out of Nothing
A Course in the History of Geometry in the 19th Century
Av Jeremy Gray
Häftad, 2010
421 kr
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Based on the latest historical research, Worlds Out of Nothing is the first book to provide a course on the history of geometry in the 19th century. Topics covered in the first part of the book are projective geometry, especially the concept of duality, and non-Euclidean geometry. The book then …
General Relativity
Häftad, 2006
442 kr
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Based on a course given at Oxford over many years, this book is a short and concise exposition of the central ideas of general relativity. The focus is on the chain of reasoning that leads to the relativistic theory from the analysis of distance and time measurements in the presence of gravity, …
Differential Geometry of Curves and Surfaces
Häftad, 2019
442 kr
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This book is a posthumous publication of a classic by Prof. Shoshichi Kobayashi, who taught at U.C. Berkeley for 50 years, recently translated by Eriko Shinozaki Nagumo and Makiko Sumi Tanaka. There are five chapters: 1. Plane Curves and Space Curves; 2. Local Theory of Surfaces in Space; 3. …
Change and Variations
A History of Differential Equations to 1900
Av Jeremy Gray
Häftad, 2021
275 kr
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This book presents a history of differential equations, both ordinary and partial, as well as the calculus of variations, from the origins of the subjects to around 1900. Topics treated include the wave equation in the hands of d’Alembert and Euler; Fourier’s solutions to the heat equation and the …
Regression
Linear Models in Statistics
Häftad, 2010
389 kr
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Regression is the branch of Statistics in which a dependent variable of interest is modelled as a linear combination of one or more predictor variables, together with a random error. The subject is inherently two- or higher- dimensional, thus an understanding of Statistics in one dimension is …
Numerical Linear Algebra
A Concise Introduction with MATLAB and Julia
Häftad, 2018
660 kr
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This book offers an introduction to the algorithmic-numerical thinking using basic problems of linear algebra. By focusing on linear algebra, it ensures a stronger thematic coherence than is otherwise found in introductory lectures on numerics. The book highlights the usefulness of matrix …
Mathematical Writing
Häftad, 2014
447 kr
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This book teaches the art of writing mathematics, an essential -and difficult- skill for any mathematics student. The book begins with an informal introduction on basic writing principles and a review of the essential dictionary for mathematics. Writing techniques are developed gradually, from the …
Introduction to Enumeration
Häftad, 2011
387 kr
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Written for students taking a second or third year undergraduate course in mathematics or computer science, this book is the ideal companion to a course in enumeration. Enumeration is a branch of combinatorics where the fundamental subject matter is numerous methods of pattern formation and …
Affine Maps, Euclidean Motions and Quadrics
Häftad, 2011
387 kr
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Affine geometry and quadrics are fascinating subjects alone, but they are also important applications of linear algebra. They give a first glimpse into the world of algebraic geometry yet they are equally relevant to a wide range of disciplines such as engineering.This text discusses and classifies …
Finitely Generated Abelian Groups and Similarity of Matrices over a Field
Häftad, 2012
387 kr
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At first sight, finitely generated abelian groups and canonical forms of matrices appear to have little in common. However, reduction to Smith normal form, named after its originator H.J.S.Smith in 1861, is a matrix version of the Euclidean algorithm and is exactly what the theory requires in both …
Complex Analysis and Differential Equations
Av Luis Barreira, Claudia Valls
Häftad, 2012
387 kr
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This text provides an accessible, self-contained and rigorous introduction to complex analysis and differential equations. Topics covered include holomorphic functions, Fourier series, ordinary and partial differential equations. The text is divided into two parts: part one focuses on complex …
Derivative Pricing in Discrete Time
Av Nigel J. Cutland, Alet Roux
Häftad, 2012
387 kr
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This book provides an introduction to the mathematical modelling of real world financial markets and the rational pricing of derivatives, which is part of the theory that not only underpins modern financial practice but is a thriving area of mathematical research. The central theme is the question …
Probability Models
Av John Haigh
Häftad, 2013
387 kr
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The purpose of this book is to provide a sound introduction to the study of real-world phenomena that possess random variation. It describes how to set up and analyse models of real-life phenomena that involve elements of chance. Motivation comes from everyday experiences of probability, such as …
Introduction to Laplace Transforms and Fourier Series
Av Phil Dyke
Häftad, 2014
421 kr
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In this book, there is a strong emphasis on application with the necessary mathematical grounding. There are plenty of worked examples with all solutions provided. This enlarged new edition includes generalised Fourier series and a completely new chapter on wavelets.Only knowledge of elementary …
Topology, Calculus and Approximation
Häftad, 2017
387 kr
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Presenting basic results of topology, calculus of several variables, and approximation theory which are rarely treated in a single volume, this textbook includes several beautiful, but almost forgotten, classical theorems of Descartes, Erdős, Fejér, Stieltjes, and Turán. The exposition style of …
Sturm–Liouville Theory and its Applications
Häftad, 2026
552 kr
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Developed from a course taught to senior undergraduates, this book provides a unified introduction to Fourier analysis and special functions based on the Sturm-Liouville theory in L2. The treatment relies heavily on the convergence properties of sequences and series of numbers as well as functions …
Introduction to Lie Algebras
Häftad, 2006
388 kr
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Lie groups and Lie algebras have become essential to many parts of mathematics and theoretical physics, with Lie algebras a central object of interest in their own right.This book provides an elementary introduction to Lie algebras based on a lecture course given to fourth-year undergraduates. The …
Metric Spaces
Häftad, 2006
440 kr
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The abstract concepts of metric spaces are often perceived as difficult. This book offers a unique approach to the subject which gives readers the advantage of a new perspective on ideas familiar from the analysis of a real line. Rather than passing quickly from the definition of a metric to the …
