Pure and Applied Undergraduate Texts – serie
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66 produkter
Abstract Algebra
An Integrated Approach
Häftad, 2022
598 kr
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This abstract algebra textbook takes an integrated approach that highlights the similarities of fundamental algebraic structures among a number of topics. The book begins by introducing groups, rings, vector spaces, and fields, emphasizing examples, definitions, homomorphisms, and proofs. The goal …
Fourier Analysis and Its Applications
Inbunden, 2009
5,0 utav 5 stjärnor. Totalt antal röster: (3)
1076 kr
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This book presents the theory and applications of Fourier series and integrals, eigenfunction expansions, and related topics, on a level suitable for advanced undergraduates. It includes material on Bessel functions, orthogonal polynomials, and Laplace transforms, and it concludes with chapters on …
Introduction to Analysis
Av American Mathematical Society
Inbunden, 2009
964 kr
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Introduction to Analysis is designed to bridge the gap between the intuitive calculus usually offered at the undergraduate level and the sophisticated analysis courses the student encounters at the graduate level. In this book the student is given the vocabulary and facts necessary for further …
Numerical Analysis
Mathematics of Scientific Computing
Inbunden, 2009
1217 kr
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This book introduces students with diverse backgrounds to various types of mathematical analysis that are commonly needed in scientific computing. The subject of numerical analysis is treated from a mathematical point of view, offering a complete analysis of methods for scientific computing with …
Advanced Calculus
Inbunden, 2009
1147 kr
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Advanced Calculus is intended as a text for courses that furnish the backbone of the student's undergraduate education in mathematical analysis. The goal is to rigorously present the fundamental concepts within the context of illuminating examples and stimulating exercises. This book is …
Probability - the Science of Uncertainty
With Applications to Investments, Insurance, and Engineering
Inbunden, 2009
1076 kr
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This book covers the basic probability of distributions with an emphasis on applications from the areas of investments, insurance, and engineering. Written by a Fellow of the Casualty Actuarial Society and the Society of Actuaries with many years of experience as a university professor and industry …
Mathematics of Finance
Modeling and Hedging
Av Victor Goodman, Joseph Stampfli
Inbunden, 2009
993 kr
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This book is ideally suited for an introductory undergraduate course on financial engineering. It explains the basic concepts of financial derivatives, including put and call options, as well as more complex derivatives such as barrier options and options on futures contracts. Both discrete and …
Geometry for College Students
Av American Mathematical Society
Inbunden, 2009
964 kr
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One of the challenges many mathematics students face occurs after they complete their study of basic calculus and linear algebra, and they start taking courses where they are expected to write proofs. Historically, students have been learning to think mathematically and to write proofs by studying …
Abstract Algebra
Av American Mathematical Society
Inbunden, 2009
964 kr
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This undergraduate text takes a novel approach to the standard introductory material on groups, rings, and fields. At the heart of the text is a semi-historical journey through the early decades of the subject as it emerged in the revolutionary work of Euler, Lagrange, Gauss, and Galois. Avoiding …
Introduction to Differential Equations
Inbunden, 2011
1076 kr
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The mathematical formulations of problems in physics, economics, biology, and other sciences are usually embodied in differential equations. The analysis of the resulting equations then provides new insight into the original problems. This book describes the tools for performing that analysis. The …
Introduction to Complex Analysis and Geometry
Inbunden, 2010
964 kr
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An Introduction to Complex Analysis and Geometry provides the reader with a deep appreciation of complex analysis and how this subject fits into mathematics. The book developed from courses given in the Campus Honors Program at the University of Illinois Urbana-Champaign. These courses aimed to …
Algebra
Inbunden, 2010
964 kr
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Mark Sepanski's Algebra is a readable introduction to the delightful world of modern algebra. Beginning with concrete examples from the study of integers and modular arithmetic, the text steadily familiarises the reader with greater levels of abstraction as it moves through the study of groups, …
Partial Differential Equations and Boundary-Value Problems with Applications
Inbunden, 2011
1076 kr
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Building on the basic techniques of separation of variables and Fourier series, the book presents the solution of boundary-value problems for basic partial differential equations: the heat equation, wave equation, and Laplace equation, considered in various standard coordinate systems--rectangular, …
Complex Variables
Inbunden, 2011
1034 kr
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The text covers a broad spectrum between basic and advanced complex variables on the one hand and between theoretical and applied or computational material on the other hand. With careful selection of the emphasis put on the various sections, examples, and exercises, the book can be used in a one- …
Axiomatic Geometry
Av John M. Lee
Inbunden, 2013
1076 kr
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The story of geometry is the story of mathematics itself: Euclidean geometry was the first branch of mathematics to be systematically studied and placed on a firm logical foundation, and it is the prototype for the axiomatic method that lies at the foundation of modern mathematics. It has been …
Foundations of Analysis
Inbunden, 2012
1076 kr
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Analysis plays a crucial role in the undergraduate curriculum. Building upon the familiar notions of calculus, analysis introduces the depth and rigor characteristic of higher mathematics courses. Foundations of Analysis has two main goals. The first is to develop in students the mathematical …
Introduction to Dynamical Systems
Continuous and Discrete, Second Edition
Inbunden, 2016
1203 kr
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This book gives a mathematical treatment of the introduction to qualitative differential equations and discrete dynamical systems. The treatment includes theoretical proofs, methods of calculation, and applications. The two parts of the book, continuous time of differential equations and discrete …
Fundamentals of Mathematical Analysis
Inbunden, 2013
1076 kr
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This is a textbook for a course in Honors Analysis (for freshman/sophomore undergraduates) or Real Analysis (for junior/senior undergraduates) or Analysis-I (beginning graduates). It is intended for students who completed a course in ``AP Calculus'', possibly followed by a routine course in …
Early Fourier Analysis
Inbunden, 2015
1076 kr
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Fourier Analysis is an important area of mathematics, especially in light of its importance in physics, chemistry, and engineering. Yet it seems that this subject is rarely offered to undergraduates. This book introduces Fourier Analysis in its three most classical settings: The Discrete Fourier …
Linear Algebra and Matrices
Topics for a Second Course
Inbunden, 2015
1034 kr
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Linear algebra and matrix theory are fundamental tools for almost every area of mathematics, both pure and applied. This book combines coverage of core topics with an introduction to some areas in which linear algebra plays a key role, for example, block designs, directed graphs, error correcting …
Number Systems
An Introduction to Algebra and Analysis
Inbunden, 2015
964 kr
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This book offers a rigorous and coherent introduction to the five basic number systems of mathematics, namely natural numbers, integers, rational numbers, real numbers, and complex numbers. It is a subject that many mathematicians believe should be learned by any student of mathematics including …
Mathematical Analysis and Its Inherent Nature
Inbunden, 2016
1076 kr
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Mathematical analysis is often referred to as generalized calculus. But it is much more than that. This book has been written in the belief that emphasizing the inherent nature of a mathematical discipline helps students to understand it better. With this in mind, and focusing on the essence of …
Foundations and Applications of Statistics
An Introduction Using R
Inbunden, 2018
1512 kr
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Foundations and Applications of Statistics simultaneously emphasizes both the foundational and the computational aspects of modern statistics. Engaging and accessible, this book is useful to undergraduate students with a wide range of backgrounds and career goals.The exposition immediately begins …
Algebra in Action
A Course in Groups, Rings, and Fields
Inbunden, 2017
1203 kr
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This text-based on the author's popular courses at Pomona College-provides a readable, student-friendly, and somewhat sophisticated introduction to abstract algebra. It is aimed at sophomore or junior undergraduates who are seeing the material for the first time. In addition to the usual …
Tools of Mathematical Reasoning
Inbunden, 2016
1034 kr
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This accessible textbook gives beginning undergraduate mathematics students a first exposure to introductory logic, proofs, sets, functions, number theory, relations, finite and infinite sets, and the foundations of analysis. The book provides students with a quick path to writing proofs and a …
Experimental Introduction to Number Theory
Inbunden, 2018
1076 kr
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This book presents material suitable for an undergraduate course in elementary number theory from a computational perspective. It seeks to not only introduce students to the standard topics in elementary number theory, such as prime factorization and modular arithmetic, but also to develop their …
Mathematics of Optimization
How to Do Things Faster
Inbunden, 2018
1034 kr
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Optimization Theory is an active area of research with numerous applications; many of the books are designed for engineering classes, and thus have an emphasis on problems from such fields. Covering much of the same material, there is less emphasis on coding and detailed applications as the …
Lectures on the Fourier Transform and Its Applications
Inbunden, 2019
1203 kr
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This book is derived from lecture notes for a course on Fourier analysis for engineering and science students at the advanced undergraduate or beginning graduate level. Beyond teaching specific topics and techniques--all of which are important in many areas of engineering and science--the author's …
Problems Based Course in Advanced Calculus
Inbunden, 2018
1076 kr
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This textbook is suitable for a course in advanced calculus that promotes active learning through problem solving. It can be used as a base for a Moore method or inquiry based class, or as a guide in a traditional classroom setting where lectures are organized around the presentation of problems …
Two-Dimensional Geometries
A Problem-Solving Approach
Inbunden, 2019
1076 kr
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This book on two-dimensional geometry uses a problem-solving approach to actively engage students in the learning process. The aim is to guide readers through the story of the subject, while giving them room to discover and partially construct the story themselves. The book bridges the study of …
