Compact Textbooks in Mathematics – serie
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62 produkter
Turning Points in the History of Mathematics
Av Hardy Grant, Israel Kleiner
Häftad, 2016
334 kr
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This book explores some of the major turning points in the history of mathematics, ranging from ancient Greece to the present, demonstrating the drama that has often been a part of its evolution. Studying these breakthroughs, transitions, and revolutions, their stumbling-blocks and their triumphs, …
Geometric Multiplication of Vectors
An Introduction to Geometric Algebra in Physics
Häftad, 2019
498 kr
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This book enables the reader to discover elementary concepts of geometric algebra and its applications with lucid and direct explanations. Why would one want to explore geometric algebra? What if there existed a universal mathematical language that allowed one: to make rotations in any dimension …
Getting Acquainted with Homogenization and Multiscale
Av Leonid Berlyand, Volodymyr Rybalko
Häftad, 2018
498 kr
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The objective of this book is to navigate beginning graduate students in mathematics and engineering through a mature field of multiscale problems in homogenization theory and to provide an idea of its broad scope. An overview of a wide spectrum of homogenization techniques ranging from classical …
Sampling of Remarkable Groups
Thompson's, Self-similar, Lamplighter, and Baumslag-Solitar
Av Marianna C. Bonanome, Margaret H. Dean m. fl.
Häftad, 2019
660 kr
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This textbook offers students with a basic understanding of group theory a preview of several interesting groups they would not typically encounter until later in their academic careers. By presenting these advanced concepts at this stage, they will gain a deeper understanding of the subject and be …
Mathematics of Voting and Apportionment
An Introduction
Häftad, 2019
498 kr
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This textbook contains a rigorous exposition of the mathematical foundations of two of the most important topics in politics and economics: voting and apportionment, at the level of upper undergraduate and beginning graduate students. It stands out among comparable books by providing, in one …
Elements of General Relativity
Häftad, 2020
551 kr
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This book provides an introduction to the mathematics and physics of general relativity, its basic physical concepts, its observational implications, and the new insights obtained into the nature of space-time and the structure of the universe. It introduces some of the most striking aspects of …
Course on Topological Vector Spaces
Av Jürgen Voigt
Häftad, 2020
420 kr
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This book provides an introduction to the theory of topological vector spaces, with a focus on locally convex spaces. It discusses topologies in dual pairs, culminating in the Mackey-Arens theorem, and also examines the properties of the weak topology on Banach spaces, for instance Banach’s theorem …
Probabilistic Methods in Telecommunications
Av Benedikt Jahnel, Wolfgang König
Häftad, 2020
334 kr
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Probabilistic modeling and analysis of spatial telecommunication systems have never been more important than they are today. In particular, it is an essential research area for designing and developing next-generation communication networks that are based on multihop message transmission …
Course in Algebraic Error-Correcting Codes
Av Simeon Ball
Häftad, 2020
551 kr
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This textbook provides a rigorous mathematical perspective on error-correcting codes, starting with the basics and progressing through to the state-of-the-art. Algebraic, combinatorial, and geometric approaches to coding theory are adopted with the aim of highlighting how coding can have an …
Smooth Manifolds
Häftad, 2020
607 kr
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This concise and practical textbook presents the essence of the theory on smooth manifolds. A key concept in mathematics, smooth manifolds are ubiquitous: They appear as Riemannian manifolds in differential geometry; as space-times in general relativity; as phase spaces and energy levels in …
Introduction to Functional Analysis
Häftad, 2020
498 kr
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Functional analysis has become one of the essential foundations of modern applied mathematics in the last decades, from the theory and numerical solution of differential equations, from optimization and probability theory to medical imaging and mathematical image processing. This textbook offers a …
Lebesgue Integral
Häftad, 2021
607 kr
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This book presents a compact and self-contained introduction to the theory of measure and integration. The introduction into this theory is as necessary (because of its multiple applications) as difficult for the uninitiated. Most measure theory treaties involve a large amount of prerequisites and …
Introduction to Infinity-Categories
Av Markus Land
Häftad, 2021
607 kr
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This textbook is an introduction to the theory of infinity-categories, a tool used in many aspects of modern pure mathematics. It treats the basics of the theory and supplies all the necessary details while leading the reader along a streamlined path from the basic definitions to more advanced …
Basic Monotonicity Methods with Some Applications
Häftad, 2021
498 kr
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This textbook introduces some basic tools from the theory of monotone operators together with some of their applications. Examples that work for ordinary differential equations are provided. The illustrating material is kept relatively simple, while at the same time offering inspiring applications …
Introduction to Algebraic Topology
Häftad, 2022
551 kr
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This textbook provides a succinct introduction to algebraic topology. It follows a modern categorical approach from the beginning and gives ample motivation throughout so that students will find this an ideal first encounter to the field. Topics are treated in a self-contained manner, making this a …
Introduction to Artificial Intelligence Based on Reproducing Kernel Hilbert Spaces
Häftad, 2022
551 kr
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This textbook provides an in-depth exploration of statistical learning with reproducing kernels, an active area of research that can shed light on trends associated with deep neural networks. The author demonstrates how the concept of reproducing kernel Hilbert Spaces (RKHS), accompanied with tools …
Introduction to Complex Analysis in Several Variables
Häftad, 2023
660 kr
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This book gives a comprehensive introduction to complex analysis in several variables. While it focusses on a number of topics in complex analysis rather than trying to cover as much material as possible, references to other parts of mathematics such as functional analysis or algebras are made to …
Geometry of Linear Matrix Inequalities
A Course in Convexity and Real Algebraic Geometry with a View Towards Optimization
Av Tim Netzer, Daniel Plaumann
Häftad, 2023
660 kr
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This textbook provides a thorough introduction to spectrahedra, which are the solution sets to linear matrix inequalities, emerging in convex and polynomial optimization, analysis, combinatorics, and algebraic geometry. Including a wealth of examples and exercises, this textbook guides the reader …
Mathematical Thinking
Why Everyone Should Study Math
Häftad, 2024
550 kr
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This textbook invites readers to explore mathematical thinking by finding the beauty in the subject. With an accessible tone and stimulating puzzles, the author will convince curious non-mathematicians to continue their studies in the area. It has an expansive scope, covering everything from …
Basic Guide to Uniqueness Problems for Evolutionary Differential Equations
Häftad, 2023
660 kr
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This book addresses the issue of uniqueness of a solution to a problem – a very important topic in science and technology, particularly in the field of partial differential equations, where uniqueness guarantees that certain partial differential equations are sufficient to model a given phenomenon. …
Differential Geometry
From Elastic Curves to Willmore Surfaces
Av Ulrich Pinkall, Oliver Gross
Häftad, 2024
551 kr
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This open access book covers the main topics for a course on the differential geometry of curves and surfaces. Unlike the common approach in existing textbooks, there is a strong focus on variational problems, ranging from elastic curves to surfaces that minimize area, or the Willmore functional. …
Compact Capstone Course in Classical Calculus
Häftad, 2024
716 kr
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This textbook offers undergraduates a self-contained introduction to advanced topics not covered in a standard calculus sequence. The author’s enthusiastic and engaging style makes this material, which typically requires a substantial amount of study, accessible to students with minimal …
Measure-Theoretic Probability
With Applications to Statistics, Finance, and Engineering
Av Kenneth Shum
Häftad, 2024
607 kr
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This textbook offers an approachable introduction to measure-theoretic probability, illustrating core concepts with examples from statistics and engineering. The author presents complex concepts in a succinct manner, making otherwise intimidating material approachable to undergraduates who are not …
Linear Algebra in Data Science
Av Peter Zizler, Roberta La Haye
Häftad, 2024
498 kr
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This textbook explores applications of linear algebra in data science at an introductory level, showing readers how the two are deeply connected. The authors accomplish this by offering exercises that escalate in complexity, many of which incorporate MATLAB. Practice projects appear as well for …
Course in Combinatorics and Graphs
Häftad, 2024
607 kr
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This compact textbook consists of lecture notes given as a fourth-year undergraduate course of the mathematics degree at the Universitat Politècnica de Catalunya, including topics in enumerative combinatorics, finite geometry, and graph theory. This text covers a single-semester course and is aimed …
Basics of Programming and Algorithms, Principles and Applications
Av Roberto Mantaci, Jean-Baptiste Yunès
Häftad, 2024
679 kr
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This textbook offers an introduction to topics in algorithms and programming with python. It is originally intended for mathematical students not sufficiently aware about these computer science fields seeking a deeper understanding. It addresses fundamental questions on how to analyze the …
Elementary Numerical Mathematics for Programmers and Engineers
Av Gisbert Stoyan, Agnes Baran
Häftad, 2024
550 kr
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This book covers the basics of numerical methods. Avoiding the definition-theorem-proof style, it instead focuses on numerical examples and simple pseudo-codes.The text begins with a chapter on floating point arithmetic before moving on to discuss norms, conditions numbers, solutions of systems of …
Geometry by Its Transformations
Lessons Centered on the History from 1800-1855
Häftad, 2025
494 kr
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This textbook combines the history of synthetic geometry, centered on the years 1800-1855, with a theorem-proof exposition of the geometry developed in those years. The book starts with the background needed from Euclid’s Elements, followed by chapters on transformations, including dilation …
Finite Element Approximation of Boundary Value Problems
Av Franz Chouly
Häftad, 2024
551 kr
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This textbook provides an accessible introduction to the mathematical foundations of the finite element method for a broad audience. The author accomplishes this, in part, by including numerous exercises and illustrations. Each chapter begins with a clear outline to help make complex concepts more …
Basics of Nonlinear Optimization
Around the Weierstrass Theorem
Häftad, 2024
551 kr
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This textbook gives an introduction to optimization tools which arise around the Weierstrass theorem about the minimum of a lower semicontinuous function. Starting from a Euclidean space, it moves further into the infinite dimensional setting towards the direct variational method, going through …