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Introduction to Proofs and Proof Strategies
, University of Toronto
Online ISBN: 9781009089005
Online publication date:
08 June 2023
- Textbook
Emphasizing the creative nature of mathematics, this conversational textbook guides students through the process of discovering a proof. The material revolves around possible strategies to approaching a problem without classifying 'types of proofs' or providing proof templates. Instead, it helps students develop the thinking skills needed to tackle mathematics when there is no clear algorithm or recipe to follow. Beginning by discussing familiar and fundamental topics from a more theoretical perspective, the book moves on to inequalities, induction, relations, cardinality, and elementary number theory. The final supplementary chapters allow students to apply these strategies to the topics they will learn in future courses. With its focus on 'doing mathematics' through 200 worked examples, over 370 problems, illustrations, discussions, and minimal prerequisites, this course will be indispensable to first- and second-year students in mathematics, statistics, and computer science. Instructor resources include solutions to select problems.
Emphasizing the creative nature of mathematics, this conversational textbook guides students through the process of discovering a proof. The material revolves around possible strategies to approaching a problem without classifying 'types of proofs' or providing proof templates. Instead, it helps students develop the thinking skills needed to tackle mathematics when there is no clear algorithm or recipe to follow. Beginning by discussing familiar and fundamental topics from a more theoretical perspective, the book moves on to inequalities, induction, relations, cardinality, and elementary number theory. The final supplementary chapters allow students to apply these strategies to the topics they will learn in future courses. With its focus on 'doing mathematics' through 200 worked examples, over 370 problems, illustrations, discussions, and minimal prerequisites, this course will be indispensable to first- and second-year students in mathematics, statistics, and computer science. Instructor resources include solutions to select problems.
Quantum Mechanics for Tomorrow's Engineers
, Rice University, Houston
Online ISBN: 9781108903592
Online publication date:
06 June 2023
- Textbook
Discover the foundations of quantum mechanics, and explore how these principles are powering a new generation of advances in quantum engineering, in this ground-breaking undergraduate textbook. It explains physical and mathematical principles using cutting-edge electronic, optoelectronic and photonic devices, linking underlying theory with real-world applications; focuses on current technologies and avoids historic approaches, getting students quickly up-to-speed to tackle contemporary engineering challenges; provides an introduction to the foundations of quantum information, and a wealth of real-world quantum examples, including quantum well infrared photodetectors, solar cells, quantum teleportation, quantum computing, band gap engineering, quantum cascade lasers, low-dimensional materials, and van der Waals heterostructures; and includes pedagogical features such as objectives and end-of-chapter homework problems to consolidate student understanding, and solutions for instructors. Designed to inspire the development of future quantum devices and systems, this is the perfect introduction to quantum mechanics for undergraduate electrical engineers and materials scientists.
Discover the foundations of quantum mechanics, and explore how these principles are powering a new generation of advances in quantum engineering, in this ground-breaking undergraduate textbook. It explains physical and mathematical principles using cutting-edge electronic, optoelectronic and photonic devices, linking underlying theory with real-world applications; focuses on current technologies and avoids historic approaches, getting students quickly up-to-speed to tackle contemporary engineering challenges; provides an introduction to the foundations of quantum information, and a wealth of real-world quantum examples, including quantum well infrared photodetectors, solar cells, quantum teleportation, quantum computing, band gap engineering, quantum cascade lasers, low-dimensional materials, and van der Waals heterostructures; and includes pedagogical features such as objectives and end-of-chapter homework problems to consolidate student understanding, and solutions for instructors. Designed to inspire the development of future quantum devices and systems, this is the perfect introduction to quantum mechanics for undergraduate electrical engineers and materials scientists.
General Principles of the European Convention on Human Rights
2nd edition
, Universiteit Utrecht, The Netherlands
Online ISBN: 9781009042567
Online publication date:
03 June 2023
- Textbook
The European Convention on Human Rights is one of the world's most important and influential human rights documents. It owes its value mainly to the European Court of Human Rights, which applies the Convention rights in individual cases. This book offers insight into the concepts and principles that are key to understanding the European Convention and the Court's case law. It explains how the Court approaches its cases and its decision-making process, illustrated by numerous examples taken from the Court's judgments. Core issues discussed include types of Convention rights (such as absolute rights); the structure of the Court's Convention rights review; principles and methods of interpretation (such as common-ground interpretation and the use of precedent); positive and negative obligations; vertical and horizontal effect; the margin of appreciation doctrine; and the requirements for the restriction of Convention rights.
The European Convention on Human Rights is one of the world's most important and influential human rights documents. It owes its value mainly to the European Court of Human Rights, which applies the Convention rights in individual cases. This book offers insight into the concepts and principles that are key to understanding the European Convention and the Court's case law. It explains how the Court approaches its cases and its decision-making process, illustrated by numerous examples taken from the Court's judgments. Core issues discussed include types of Convention rights (such as absolute rights); the structure of the Court's Convention rights review; principles and methods of interpretation (such as common-ground interpretation and the use of precedent); positive and negative obligations; vertical and horizontal effect; the margin of appreciation doctrine; and the requirements for the restriction of Convention rights.
Sappho
A New Translation of the Complete Works
2nd edition
Edited and translated by , Grand Valley State University, Michigan
Edited with Introduction and Notes by , Radboud Universiteit Nijmegen
Online ISBN: 9781108917896
Online publication date:
02 June 2023
- Textbook
Sappho, the earliest and most famous Greek woman poet, sang her songs around 600 BCE on the island of Lesbos. Of what survives from the approximately nine papyrus scrolls collected in antiquity, all is translated here: substantial poems and fragments, including three poems discovered in the last two decades. The power of Sappho's poetry ‒ her direct style, rich imagery, and passion ‒ is apparent even in these remnants. Diane Rayor's translations of Greek poetry are graceful, modern in diction yet faithful to the originals. Sappho's voice is heard in these poems about love, friendship, rivalry, and family. In the introduction and notes, André Lardinois plausibly reconstructs Sappho's life and work, the performance of her songs, and how these fragments survived. This second edition incorporates thirty-two more fragments primarily based on Camillo Neri's 2021 Greek edition and revisions of over seventy fragments.
Sappho, the earliest and most famous Greek woman poet, sang her songs around 600 BCE on the island of Lesbos. Of what survives from the approximately nine papyrus scrolls collected in antiquity, all is translated here: substantial poems and fragments, including three poems discovered in the last two decades. The power of Sappho's poetry ‒ her direct style, rich imagery, and passion ‒ is apparent even in these remnants. Diane Rayor's translations of Greek poetry are graceful, modern in diction yet faithful to the originals. Sappho's voice is heard in these poems about love, friendship, rivalry, and family. In the introduction and notes, André Lardinois plausibly reconstructs Sappho's life and work, the performance of her songs, and how these fragments survived. This second edition incorporates thirty-two more fragments primarily based on Camillo Neri's 2021 Greek edition and revisions of over seventy fragments.
Time Series for Data Scientists
Data Management, Description, Modeling and Forecasting
, University of California, Los Angeles
Online ISBN: 9781108942812
Online publication date:
01 June 2023
Learn by doing with this user-friendly introduction to time series data analysis in R. This book explores the intricacies of managing and cleaning time series data of different sizes, scales and granularity, data preparation for analysis and visualization, and different approaches to classical and machine learning time series modeling and forecasting. A range of pedagogical features support students, including end-of-chapter exercises, problems, quizzes and case studies. The case studies are designed to stretch the learner, introducing larger data sets, enhanced data management skills, and R packages and functions appropriate for real-world data analysis. On top of providing commented R programs and data sets, the book's companion website offers extra case studies, lecture slides, videos and exercise solutions. Accessible to those with a basic background in statistics and probability, this is an ideal hands-on text for undergraduate and graduate students, as well as researchers in data-rich disciplines
Learn by doing with this user-friendly introduction to time series data analysis in R. This book explores the intricacies of managing and cleaning time series data of different sizes, scales and granularity, data preparation for analysis and visualization, and different approaches to classical and machine learning time series modeling and forecasting. A range of pedagogical features support students, including end-of-chapter exercises, problems, quizzes and case studies. The case studies are designed to stretch the learner, introducing larger data sets, enhanced data management skills, and R packages and functions appropriate for real-world data analysis. On top of providing commented R programs and data sets, the book's companion website offers extra case studies, lecture slides, videos and exercise solutions. Accessible to those with a basic background in statistics and probability, this is an ideal hands-on text for undergraduate and graduate students, as well as researchers in data-rich disciplines
The Atmospheric General Circulation
, University of Washington, , University of Washington, , Colorado State University, , University of Washington
Online ISBN: 9781108563857
Online publication date:
26 May 2023
An engaging, comprehensive, richly illustrated textbook about the atmospheric general circulation, written by leading researchers in the field. The book elucidates the pervasive role of atmospheric dynamics in the Earth System, interprets the structure and evolution of atmospheric motions across a range of space and time scales in terms of fundamental theoretical principles, and includes relevant historical background and tutorials on research methodology. The book includes over 300 exercises and is accompanied by extensive online resources, including solutions manuals, an animations library, and an introduction to online visualization and analysis tools. This textbook is suitable as a textbook for advanced undergraduate and graduate level courses in atmospheric sciences and geosciences curricula and as a reference textbook for researchers.
An engaging, comprehensive, richly illustrated textbook about the atmospheric general circulation, written by leading researchers in the field. The book elucidates the pervasive role of atmospheric dynamics in the Earth System, interprets the structure and evolution of atmospheric motions across a range of space and time scales in terms of fundamental theoretical principles, and includes relevant historical background and tutorials on research methodology. The book includes over 300 exercises and is accompanied by extensive online resources, including solutions manuals, an animations library, and an introduction to online visualization and analysis tools. This textbook is suitable as a textbook for advanced undergraduate and graduate level courses in atmospheric sciences and geosciences curricula and as a reference textbook for researchers.
Modern Economic Regulation
An Introduction to Theory and Practice
2nd edition
, University of Oxford
Online ISBN: 9781009083621
Online publication date:
25 May 2023
- Textbook
Economic regulation affects us all, shaping how we access essential services such as water, energy and transport, as well as how we communicate with one another in the digital world. Modern Economic Regulation describes the core insights of economic theory on which regulatory policies are based and connects this with evidence of how regulation is applied. It focuses on fundamental questions such as: why are certain industries regulated? What principles can inform regulation? How is regulation implemented? Which regulatory policies have been more, or less, effective in practice? All chapters in this second edition are fully updated to reflect the latest research and evidence, while five new chapters cover behavioural economics and the regulation of rail, aviation, payment systems and digital platforms. Each chapter contains discussion questions and topical case studies, and online materials include over 60 applied exercises that explore real-life regulatory problems from around the world.
Economic regulation affects us all, shaping how we access essential services such as water, energy and transport, as well as how we communicate with one another in the digital world. Modern Economic Regulation describes the core insights of economic theory on which regulatory policies are based and connects this with evidence of how regulation is applied. It focuses on fundamental questions such as: why are certain industries regulated? What principles can inform regulation? How is regulation implemented? Which regulatory policies have been more, or less, effective in practice? All chapters in this second edition are fully updated to reflect the latest research and evidence, while five new chapters cover behavioural economics and the regulation of rail, aviation, payment systems and digital platforms. Each chapter contains discussion questions and topical case studies, and online materials include over 60 applied exercises that explore real-life regulatory problems from around the world.
Physics Behind Music
An Introduction
, Michigan Technological University
Online ISBN: 9781108953153
Online publication date:
24 May 2023
- Textbook
This engaging undergraduate text uses the performance, recording, and enjoyment of music to present basic principles of physics. The narrative lays out specific results from physics, as well as some of the methodology, thought processes, and 'interconnectedness' of physics concepts, results, and ideas. Short chapters start with basic definitions and everyday observations and ultimately work through standard topics, including vibrations, waves, acoustics, and electronics applications. Each chapter includes problems, some of which are suited for longer-term projects, and suggestions for extra reading that guide students toward a deeper understanding of the physics behind music applications. To aid teaching, additional review questions, audio and video clips, and suggestions for class activities are provided online for instructors.
This engaging undergraduate text uses the performance, recording, and enjoyment of music to present basic principles of physics. The narrative lays out specific results from physics, as well as some of the methodology, thought processes, and 'interconnectedness' of physics concepts, results, and ideas. Short chapters start with basic definitions and everyday observations and ultimately work through standard topics, including vibrations, waves, acoustics, and electronics applications. Each chapter includes problems, some of which are suited for longer-term projects, and suggestions for extra reading that guide students toward a deeper understanding of the physics behind music applications. To aid teaching, additional review questions, audio and video clips, and suggestions for class activities are provided online for instructors.
Phonetics and Speech Science
, University of Ottawa
Online ISBN: 9781108604642
Online publication date:
19 May 2023
- Textbook
Phonetics is a fundamental building block not just in linguistics but also in fields such as communication disorders. However, introductions to phonetics can often assume a background in linguistics, whilst at the same time overlooking the clinical and scientific aspects of the field. This textbook fills this gap by providing a comprehensive yet accessible overview of phonetics that delves into the fundamental science underlying the production of speech. Written with beginners in mind, it focuses on the anatomy and physiology of speech, while at the same time explaining the very basics of phonetics, such as the phonemes of English, the International Phonetic Alphabet, and phonetic transcription systems. It presents the sounds of speech as elements of linguistic structure and as the result of complex biological mechanics. It explains complicated terminology in a clear, easy-to-understand way, and provides examples from a range of languages, from disorders of speech, and from language learning.
Phonetics is a fundamental building block not just in linguistics but also in fields such as communication disorders. However, introductions to phonetics can often assume a background in linguistics, whilst at the same time overlooking the clinical and scientific aspects of the field. This textbook fills this gap by providing a comprehensive yet accessible overview of phonetics that delves into the fundamental science underlying the production of speech. Written with beginners in mind, it focuses on the anatomy and physiology of speech, while at the same time explaining the very basics of phonetics, such as the phonemes of English, the International Phonetic Alphabet, and phonetic transcription systems. It presents the sounds of speech as elements of linguistic structure and as the result of complex biological mechanics. It explains complicated terminology in a clear, easy-to-understand way, and provides examples from a range of languages, from disorders of speech, and from language learning.
A Student's Guide to the Ising Model
, Washington State University (emeritus)
Online ISBN: 9781009089579
Online publication date:
11 May 2023
- Textbook
The Ising model provides a detailed mathematical description of ferromagnetism and is widely used in statistical physics and condensed matter physics. In this Student's Guide, the author demystifies the mathematical framework of the Ising model and provides students with a clear understanding of both its physical significance, and how to apply it successfully in their calculations. Key topics related to the Ising model are covered, including exact solutions of both finite and infinite systems, series expansions about high and low temperatures, mean-field approximation methods, and renormalization-group calculations. The book also incorporates plots, figures, and tables to highlight the significance of the results. Designed as a supplementary resource for undergraduate and graduate students, each chapter includes a selection of exercises intended to reinforce and extend important concepts, and solutions are also available for all exercises.
The Ising model provides a detailed mathematical description of ferromagnetism and is widely used in statistical physics and condensed matter physics. In this Student's Guide, the author demystifies the mathematical framework of the Ising model and provides students with a clear understanding of both its physical significance, and how to apply it successfully in their calculations. Key topics related to the Ising model are covered, including exact solutions of both finite and infinite systems, series expansions about high and low temperatures, mean-field approximation methods, and renormalization-group calculations. The book also incorporates plots, figures, and tables to highlight the significance of the results. Designed as a supplementary resource for undergraduate and graduate students, each chapter includes a selection of exercises intended to reinforce and extend important concepts, and solutions are also available for all exercises.
The Grammar of Time
A Toolbox for Comparative Historical Analysis
, Villanova University, Pennsylvania
Online ISBN: 9781108652728
Online publication date:
11 May 2023
Kreuzer offers guidance to scholars looking to comparative historical analysis (CHA) for the tools to analyze macro-historical questions. Like history, CHA uses the past to formulate research questions, describe social transformations, and generate inductive insights. Like social science, CHA compares those patterns to explicate generalizable and testable theories. It operates in two different worlds—one constantly changing and full of cultural particularities and another static and full of orderly uniformities. CHA draws attention to the ontological constructions of these worlds; how scholars background historical and geographic particularities to create a social reality orderly enough for theorizing, while others foreground those particularities to re-complexify it to generate new inductive insights. CHA engages in ontological triage, dialogue between exploration and confirmation, and conversation in how to translate test results into genuine answers. This book is supplemented by online materials including introductory videos, diagnostic quizzes, advanced exercises, and annotated bibliographies.
Kreuzer offers guidance to scholars looking to comparative historical analysis (CHA) for the tools to analyze macro-historical questions. Like history, CHA uses the past to formulate research questions, describe social transformations, and generate inductive insights. Like social science, CHA compares those patterns to explicate generalizable and testable theories. It operates in two different worlds—one constantly changing and full of cultural particularities and another static and full of orderly uniformities. CHA draws attention to the ontological constructions of these worlds; how scholars background historical and geographic particularities to create a social reality orderly enough for theorizing, while others foreground those particularities to re-complexify it to generate new inductive insights. CHA engages in ontological triage, dialogue between exploration and confirmation, and conversation in how to translate test results into genuine answers. This book is supplemented by online materials including introductory videos, diagnostic quizzes, advanced exercises, and annotated bibliographies.
Public International Law
Edited by , University of Sydney, , University of Sydney, , University of Sydney
Online ISBN: 9781009052696
Online publication date:
09 May 2023
- Textbook
Public international law is a global legal system which regulates the conduct of countries and other actors. Public International Law offers Australian students a comprehensive and accessible introduction to international law. Covering the fundamental topics of international law – including treaties, use of force and dispute settlement – this text also discusses specialised branches such as humanitarian law, criminal law and environmental law. The key principles and theories of international law are clearly explained and analysed, and their application is illustrated by succinct, carefully chosen extracts from cases and materials. These sources strike a balance between key international cases and important cases from domestic legal systems. Discussion questions at the end of each chapter encourage students to apply and test their understanding of each topic, while a glossary of key terms clearly explains complex concepts. Written by an expert author team, Public International Law is a fundamental resource for Australian students of international law.
Public international law is a global legal system which regulates the conduct of countries and other actors. Public International Law offers Australian students a comprehensive and accessible introduction to international law. Covering the fundamental topics of international law – including treaties, use of force and dispute settlement – this text also discusses specialised branches such as humanitarian law, criminal law and environmental law. The key principles and theories of international law are clearly explained and analysed, and their application is illustrated by succinct, carefully chosen extracts from cases and materials. These sources strike a balance between key international cases and important cases from domestic legal systems. Discussion questions at the end of each chapter encourage students to apply and test their understanding of each topic, while a glossary of key terms clearly explains complex concepts. Written by an expert author team, Public International Law is a fundamental resource for Australian students of international law.
Government Accountability
Australian Administrative Law
3rd edition
, Flinders University of South Australia, , University of Adelaide, , University of Adelaide
Online ISBN: 9781009106597
Online publication date:
05 May 2023
- Textbook
Government Accountability: Australian Administrative Law presents a thorough account of the administrative state and the mechanisms that exist to bring it to account for its actions. It contextualises the theory and explanation of administrative law through carefully chosen case studies and events that offer practical examples of the principles discussed and how they are applied. The third edition has been thoroughly updated to incorporate recent legal developments and includes expanded discussion of 'materiality' in the context of jurisdictional error. The examples used illustrate the operation of legal principles and reflect contemporary social and political circumstances. Written by a team of experts, and known for its clear, consistent and straightforward narrative with logical progression, Government Accountability remains a student-friendly guide to complex administrative law concepts. Government Accountability: Australian Administrative Law is accompanied by a casebook, Government Accountability Sources and Materials: Australian Administrative Law, which provides curated cases and primary legal materials with helpful commentary.
Government Accountability: Australian Administrative Law presents a thorough account of the administrative state and the mechanisms that exist to bring it to account for its actions. It contextualises the theory and explanation of administrative law through carefully chosen case studies and events that offer practical examples of the principles discussed and how they are applied. The third edition has been thoroughly updated to incorporate recent legal developments and includes expanded discussion of 'materiality' in the context of jurisdictional error. The examples used illustrate the operation of legal principles and reflect contemporary social and political circumstances. Written by a team of experts, and known for its clear, consistent and straightforward narrative with logical progression, Government Accountability remains a student-friendly guide to complex administrative law concepts. Government Accountability: Australian Administrative Law is accompanied by a casebook, Government Accountability Sources and Materials: Australian Administrative Law, which provides curated cases and primary legal materials with helpful commentary.
Government Accountability Sources and Materials
2nd edition
, Flinders University of South Australia, , University of Adelaide, , University of Adelaide
Online ISBN: 9781009105132
Online publication date:
05 May 2023
- Textbook
Government Accountability Sources and Materials: Australian Administrative Law is designed to accompany the third edition of the textbook Government Accountability: Australian Administrative Law. Following the accessible structure of Government Accountability, this book guides students through the real-world operation of administrative law and demonstrates how multiple doctrines and mechanisms can interact in a single situation. Extracts from primary materials – including cases and legislation – provide a clear account of the facts, issues and statutory provisions considered by the courts, and are accompanied by relevant commentary. This edition has been thoroughly updated to include recent significant cases such as Minister for Immigration, Citizenship, Migrant Services and Multicultural Affairs v Viane (2021), Hocking v Director-General of the National Archives of Australia (2020) and MZAPC v Minister for Immigration and Border Protection (2021). Written by a team of experts, Government Accountability Sources and Materials: Australian Administrative Law is a fundamental and student-friendly introduction to administrative law in practice.
Government Accountability Sources and Materials: Australian Administrative Law is designed to accompany the third edition of the textbook Government Accountability: Australian Administrative Law. Following the accessible structure of Government Accountability, this book guides students through the real-world operation of administrative law and demonstrates how multiple doctrines and mechanisms can interact in a single situation. Extracts from primary materials – including cases and legislation – provide a clear account of the facts, issues and statutory provisions considered by the courts, and are accompanied by relevant commentary. This edition has been thoroughly updated to include recent significant cases such as Minister for Immigration, Citizenship, Migrant Services and Multicultural Affairs v Viane (2021), Hocking v Director-General of the National Archives of Australia (2020) and MZAPC v Minister for Immigration and Border Protection (2021). Written by a team of experts, Government Accountability Sources and Materials: Australian Administrative Law is a fundamental and student-friendly introduction to administrative law in practice.
A Historical Introduction to English Law
Genesis of the Common Law
, Cardiff University
Online ISBN: 9781316106990
Online publication date:
04 May 2023
- Textbook
There are some stories that need to be told anew to every generation. This book tells one such story. It explores the historical origins of the common law and explains why that story needs to be understood by all who study or come into contact with English law. The book functions as the prequel to what students learn during their law degrees or for the SQE. It can be read in preparation for, or as part of, modules introducing the study of English law or as a starting point for specialist modules on legal history or aspects of legal history. This book will not only help students understand and contextualise their study of the current law but it will also show them that the options they have to change the law are greater than they might assume from just studying the current law.
There are some stories that need to be told anew to every generation. This book tells one such story. It explores the historical origins of the common law and explains why that story needs to be understood by all who study or come into contact with English law. The book functions as the prequel to what students learn during their law degrees or for the SQE. It can be read in preparation for, or as part of, modules introducing the study of English law or as a starting point for specialist modules on legal history or aspects of legal history. This book will not only help students understand and contextualise their study of the current law but it will also show them that the options they have to change the law are greater than they might assume from just studying the current law.
A General Relativity Coursebook
, University of Sheffield
Online ISBN: 9781009242479
Online publication date:
03 May 2023
- Textbook
General relativity is a subject that most undergraduates in physics are particularly curious about, but it has a reputation for being very difficult. This book provides as gentle an introduction to general relativity as possible, leading you through the necessary mathematics in order to arrive at important results. Of course, you cannot avoid the mathematics of general relativity altogether, but, using this book, you can gain an appreciation of tensors and differential geometry at a pace you can keep up with. Early chapters build up to a complete derivation of Einstein's Equations, while the final chapters cover the key applications on black holes, cosmology and gravitational waves. It is designed as a coursebook with just enough material to cover in a one-semester undergraduate class, but it is also accessible to any numerate readers who wish to appreciate the power and beauty of Einstein's creation for themselves.
General relativity is a subject that most undergraduates in physics are particularly curious about, but it has a reputation for being very difficult. This book provides as gentle an introduction to general relativity as possible, leading you through the necessary mathematics in order to arrive at important results. Of course, you cannot avoid the mathematics of general relativity altogether, but, using this book, you can gain an appreciation of tensors and differential geometry at a pace you can keep up with. Early chapters build up to a complete derivation of Einstein's Equations, while the final chapters cover the key applications on black holes, cosmology and gravitational waves. It is designed as a coursebook with just enough material to cover in a one-semester undergraduate class, but it is also accessible to any numerate readers who wish to appreciate the power and beauty of Einstein's creation for themselves.
Actions of Groups
A Second Course in Algebra
, Vassar College, New York
Online ISBN: 9781009158107
Online publication date:
03 May 2023
Using the unifying notion of group actions, this second course in modern algebra introduces the deeper algebraic tools needed to get into topics only hinted at in a first course, like the successful classification of finite simple groups and how groups play a role in the solutions of polynomial equations. Because groups may act as permutations of a set, as linear transformations on a vector space, or as automorphisms of a field, the deeper structure of a group may emerge from these viewpoints, two different groups can be distinguished, or a polynomial equation can be shown to be solvable by radicals. By developing the properties of these group actions, readers encounter essential algebra topics like the Sylow theorems and their applications, Galois theory, and representation theory. Warmup chapters that review and build on the first course and active learning modules help students transition to a deeper understanding of ideas.
Using the unifying notion of group actions, this second course in modern algebra introduces the deeper algebraic tools needed to get into topics only hinted at in a first course, like the successful classification of finite simple groups and how groups play a role in the solutions of polynomial equations. Because groups may act as permutations of a set, as linear transformations on a vector space, or as automorphisms of a field, the deeper structure of a group may emerge from these viewpoints, two different groups can be distinguished, or a polynomial equation can be shown to be solvable by radicals. By developing the properties of these group actions, readers encounter essential algebra topics like the Sylow theorems and their applications, Galois theory, and representation theory. Warmup chapters that review and build on the first course and active learning modules help students transition to a deeper understanding of ideas.
Stellar Structure and Evolution
, The Ohio State University, , The Ohio State University
Online ISBN: 9781108869249
Online publication date:
02 May 2023
- Textbook
Stellar Structure and Evolution, the second volume in the Ohio State Astrophysics Series, takes advantage of our new era of stellar astrophysics, in which modern techniques allow us to map the interiors of stars in unprecedented detail. This textbook for upper-level undergraduate and graduate students aims to develop a broad physical understanding of the fundamental principles that dictate stellar properties. The study of stellar evolution focuses on the 'life cycle' of stars: how they are born, how they live, and how they die. As elements ejected by one generation of stars are incorporated into the next generation, stellar evolution is intertwined with the chemical evolution of our galaxy. Focusing on key physical processes without going into encyclopedic depth, the authors present stellar evolution in a contemporary context, including phenomena such as pulsations, mass loss, binary interactions, and rotation, which contribute to our understanding of stars.
Stellar Structure and Evolution, the second volume in the Ohio State Astrophysics Series, takes advantage of our new era of stellar astrophysics, in which modern techniques allow us to map the interiors of stars in unprecedented detail. This textbook for upper-level undergraduate and graduate students aims to develop a broad physical understanding of the fundamental principles that dictate stellar properties. The study of stellar evolution focuses on the 'life cycle' of stars: how they are born, how they live, and how they die. As elements ejected by one generation of stars are incorporated into the next generation, stellar evolution is intertwined with the chemical evolution of our galaxy. Focusing on key physical processes without going into encyclopedic depth, the authors present stellar evolution in a contemporary context, including phenomena such as pulsations, mass loss, binary interactions, and rotation, which contribute to our understanding of stars.
Dynamic Systems
Modeling, Simulation, and Analysis
, University of Southern California, , University of Southern California
Online ISBN: 9781316841051
Online publication date:
28 April 2023
Presenting students with a comprehensive and efficient approach to the modelling, simulation, and analysis of dynamic systems, this textbook addresses mechanical, electrical, thermal and fluid systems, feedback control systems, and their combinations. It features a robust introduction to fundamental mathematical prerequisites, suitable for students from a range of backgrounds; clearly established three-key procedures – fundamental principles, basic elements, and ways of analysis – for students to build on in confidence as they explore new topics; over 300 end-of-chapter problems, with solutions available for instructors, to solidify a hands-on understanding; and clear and uncomplicated examples using MATLAB®/Simulink® and Mathematica®, to introduce students to computational approaches. With a capstone chapter focused on the application of these techniques to real-world engineering problems, this is an ideal resource for a single-semester course in dynamic systems for students in mechanical, aerospace and civil engineering.
Presenting students with a comprehensive and efficient approach to the modelling, simulation, and analysis of dynamic systems, this textbook addresses mechanical, electrical, thermal and fluid systems, feedback control systems, and their combinations. It features a robust introduction to fundamental mathematical prerequisites, suitable for students from a range of backgrounds; clearly established three-key procedures – fundamental principles, basic elements, and ways of analysis – for students to build on in confidence as they explore new topics; over 300 end-of-chapter problems, with solutions available for instructors, to solidify a hands-on understanding; and clear and uncomplicated examples using MATLAB®/Simulink® and Mathematica®, to introduce students to computational approaches. With a capstone chapter focused on the application of these techniques to real-world engineering problems, this is an ideal resource for a single-semester course in dynamic systems for students in mechanical, aerospace and civil engineering.
Introduction to Digital Communications
, University of Michigan, Ann Arbor
Online ISBN: 9781009220859
Online publication date:
24 April 2023
Master the fundamentals of digital communications systems with this accessible and hands-on introductory textbook, carefully interweaving theory and practice. The just-in-time approach introduces essential background as needed, keeping academic theory firmly linked to practical applications. The example-led teaching frames key concepts in the context of real-world systems, such as 5G, WiFi, and GPS. Stark provides foundational material on the trade-offs between energy and bandwidth efficiency, giving students a solid grounding in the fundamental challenges of designing digital communications systems. Features include over 300 illustrative figures, 80 examples, and 130 end-of-chapter problems to reinforce student understanding, with solutions for instructors. Accompanied online by lecture slides, computational MATLAB® and Python resources, and supporting data sets, this is the ideal introduction to digital communications for senior undergraduate and graduate students in electrical engineering.
Master the fundamentals of digital communications systems with this accessible and hands-on introductory textbook, carefully interweaving theory and practice. The just-in-time approach introduces essential background as needed, keeping academic theory firmly linked to practical applications. The example-led teaching frames key concepts in the context of real-world systems, such as 5G, WiFi, and GPS. Stark provides foundational material on the trade-offs between energy and bandwidth efficiency, giving students a solid grounding in the fundamental challenges of designing digital communications systems. Features include over 300 illustrative figures, 80 examples, and 130 end-of-chapter problems to reinforce student understanding, with solutions for instructors. Accompanied online by lecture slides, computational MATLAB® and Python resources, and supporting data sets, this is the ideal introduction to digital communications for senior undergraduate and graduate students in electrical engineering.