Introduction to MATLAB

This 1995 volume views important social and political issues through the eyes of economists. Pioneered by Gary Becker, this approach asserts that all actions, whether working, playing, dating, or mating, have economic motivations and consequences, and can be analysed using economic reasoning. Intended as an introduction to the current state of the field, the essays are informal and non-technical, while still using up-to-date economic reasoning to illuminate such topics as crime, marriage, discrimination, immigration, fads and fashions. The expanding domain of economics is illustrated, as problems from sociology, political science, anthropology, and public policy are all included in this Beckerian view: the world of human interaction, as seen by an economist.

This is an introduction to nonlinear functional analysis, in particular to those methods based on differential calculus in Banach spaces. It is in two parts; the first deals with the geometry of Banach spaces and includes a discussion of local and global inversion theorems for differentiable mappings. In the second part, the authors are more concerned with bifurcation theory, including the Hopf bifurcation. They include plenty of motivational and illustrative applications, which indeed provide much of the justification of nonlinear analysis. In particular, they discuss bifurcation problems arising from such areas as mechanics and fluid dynamics. The book is intended to accompany upper division courses for students of pure and applied mathematics and physics; exercises are consequently included.

Inside the Juror presents the most interesting and sophisticated work to date on juror decision making from several traditions - social psychology, behavioural decision theory, cognitive psychology, and behavioural modeling. The authors grapple with crucial questions, such as: why do jurors who hear the same evidence and arguments in the courtroom enter the jury room with disagreements about the proper verdict? how do biases and prejudices affect jurors' decisions? and just how 'rational' is the typical juror? As an introduction to the scientific study of juror decision making in criminal trials, Inside the Juror provides a comprehensive and understandable summary of the major theories of juror decision making and the research that has been conducted to evaluate their validity.

The theory of p-adic and classic modular forms, and the study of arithmetic and p-adic L-functions has proved to be a fruitful area of mathematics over the last decade. Professor Hida has given courses on these topics in the USA, Japan, and in France, and in this book provides the reader with an elementary but detailed insight into the theory of L-functions. The presentation is self contained and concise, and the subject is approached using only basic tools from complex analysis and cohomology theory. Graduate students wishing to know more about L-functions will find that this book offers a unique introduction to this fascinating branch of mathematics.

The theory of p-adic and classic modular forms, and the study of arithmetic and p-adic L-functions has proved to be a fruitful area of mathematics over the last decade. Professor Hida has given courses on these topics in the USA, Japan, and in France, and in this book provides the reader with an elementary but detailed insight into the theory of L-functions. The presentation is self contained and concise, and the subject is approached using only basic tools from complex analysis and cohomology theory. Graduate students wishing to know more about L-functions will find that this book offers a unique introduction to this fascinating branch of mathematics.

Awareness leads to action, and action leads to change.From the author of the New York Times bestselling book ME AND WHITE SUPREMACY comes the young readers edition that teaches readers how to explore and understand racism and white supremacy and how young readers can do their part to help change the world.Me and White Supremacy has reached so many adults in their journeys to become better ancestors. This edition aims to make change with even younger members of our society. Covering topics such as white privilege, white fragility, tone policing, white silence and more, Layla Saad has developed a brilliant introduction and deep dive that is sure to become a standard in antiracist education.Layla Saad meticulously updated the content for young readers to include:definitions and history of various topics covered"let's break it down" sections to help readers process complex topicsquestions at the end of each chapter to recap, reflect, and respond to the information coveredthis is no longer

Awareness leads to action, and action leads to change.From the author of the New York Times bestselling book ME AND WHITE SUPREMACY comes the young readers edition that teaches readers how to explore and understand racism and white supremacy and how young readers can do their part to help change the world.Me and White Supremacy has reached so many adults in their journeys to become better ancestors. This edition aims to make change with even younger members of our society. Covering topics such as white privilege, white fragility, tone policing, white silence and more, Layla Saad has developed a brilliant introduction and deep dive that is sure to become a standard in antiracist education.Layla Saad meticulously updated the content for young readers to include:definitions and history of various topics covered"let's break it down" sections to help readers process complex topicsquestions at the end of each chapter to recap, reflect, and respond to the information coveredthis is no longer

When people have the freedom to further their own personal interests in politics, the results may be disastrous. Chaos? Tyranny? Can a political system be set up to avoid these pitfalls, while still granting citizens and politicians the freedom to pursue their interests? Republic at Risk is a concise and engaging introduction to American politics. The guiding theme is the problem of self-interest in politics, which James Madison took as his starting point in his defense of representative government in Federalist 10 and 51. Madison believed that unchecked self-interest in politics was a risk to a well-ordered and free society. But he also held that political institutions could be designed to harness self-interest for the greater good. Putting Madison's theory to the test, the authors examine modern challenges to the integrity and effectiveness of US policy-making institutions, inviting readers to determine how best to respond to these risks.

When people have the freedom to further their own personal interests in politics, the results may be disastrous. Chaos? Tyranny? Can a political system be set up to avoid these pitfalls, while still granting citizens and politicians the freedom to pursue their interests? Republic at Risk is a concise and engaging introduction to American politics. The guiding theme is the problem of self-interest in politics, which James Madison took as his starting point in his defense of representative government in Federalist 10 and 51. Madison believed that unchecked self-interest in politics was a risk to a well-ordered and free society. But he also held that political institutions could be designed to harness self-interest for the greater good. Putting Madison's theory to the test, the authors examine modern challenges to the integrity and effectiveness of US policy-making institutions, inviting readers to determine how best to respond to these risks.

In a gentle introduction to ballet, a little boy and his friends gather for their dance class to learn some moves―and get excited about their debut performance.Stretchy leggings on? Ballet shoes in the bag? Let’s go! Join Thomas and his fellow dancers as they’re welcomed into the studio for their Saturday ballet class. There are feet positions to perfect and steps to learn―first position, plie, up on your toes, relevé―and turns and jumps, too. Everyone is getting ready for their first performance, The Nutcracker―and now it’s time to pick out costumes! This warm celebration of dancing, a companion to Holly Sterling’s Karate Kids, is inspired by the author’s time learning ballet as a young child. It’s sure to be a hit with little ones taking a class, free-form dancers at home, and those who are hoping to be a ballet kid one day, too.

Spunky, funny, and friendly Geraldine Pu writes a story for class in this third book in this Level 3 Ready-to-Read Graphics series!Geraldine Pu loves to write stories with her lucky pencil, Chienbee. But when Geraldine's teacher assigns a story for class and says everyone will read theirs out loud, Geraldine is nervous. She decides to write about her grandmother, Amah, who tells her bravery runs in the family. Will Geraldine be brave too, and share her tale? Find out in this book that includes instructions on how to make a scrapbook. Ready-to-Read Graphics books give readers the perfect introduction to the graphic novel format with easy-to-follow panels, speech bubbles with accessible vocabulary, and sequential storytelling that is spot-on for beginning readers. There's even a how-to guide for reading graphic novels at the beginning of each book.

The area of computational cryptography is dedicated to the development of effective methods in algorithmic number theory that improve implementation of cryptosystems or further their cryptanalysis. This book is a tribute to Arjen K. Lenstra, one of the key contributors to the field, on the occasion of his 65th birthday, covering his best-known scientific achievements in the field. Students and security engineers will appreciate this no-nonsense introduction to the hard mathematical problems used in cryptography and on which cybersecurity is built, as well as the overview of recent advances on how to solve these problems from both theoretical and practical applied perspectives. Beginning with polynomials, the book moves on to the celebrated Lenstra–Lenstra–Lovász lattice reduction algorithm, and then progresses to integer factorization and the impact of these methods to the selection of strong cryptographic keys for usage in widely used standards.

The second edition of this easy-to-understand pocket guide remains an invaluable tool for students, assistant practitioners and radiographers. Providing an accessible introduction to the subject in a reader-friendly format, it includes diagrams and photographs to support the text. Each chapter provides clear learning objectives and a series of MCQs to test reader assimilation of the material.The book opens with overviews of image production, basic mathematics and imaging physics, followed by detailed chapters on the physics relevant to producing diagnostic images using X-rays and digital technologies. The content has been updated throughout and includes a new chapter on CT imaging and additional material on radioactivity, dosimetry, and imaging display and manipulation. Clark's Essential Physics in Imaging for Radiographers supports students in demonstrating an understanding of the fundamental definitions of physics applied to radiography ...all you need to know to pass your exams!

This book shows how operator theory interacts with function theory in one and several variables. The authors develop the theory in detail, leading the reader to the cutting edge of contemporary research. It starts with a treatment of the theory of bounded holomorphic functions on the unit disc. Model theory and the network realization formula are used to solve Nevanlinna-Pick interpolation problems, and the same techniques are shown to work on the bidisc, the symmetrized bidisc, and other domains. The techniques are powerful enough to prove the Julia-Carathéodory theorem on the bidisc, Lempert's theorem on invariant metrics in convex domains, the Oka extension theorem, and to generalize Loewner's matrix monotonicity results to several variables. In Part II, the book gives an introduction to non-commutative function theory, and shows how model theory and the network realization formula can be used to understand functions of non-commuting matrices.

This provocative Element is on the 'state of the art' of theories that highlight policymaking complexity. It explains complexity in a way that is simple enough to understand and use. The primary audience is policy scholars seeking a single authoritative guide to studies of 'multi-centric policymaking'. It synthesises this literature to build a research agenda on the following questions: 1. How can we best explain the ways in which many policymaking 'centres' interact to produce policy? 2. How should we research multi-centric policymaking? 3. How can we hold policymakers to account in a multi-centric system? 4. How can people engage effectively to influence policy in a multi-centric system? However, by focusing on simple exposition and limiting jargon, Paul Cairney, Tanya Heikkila, Matthew Wood also speak to a far wider audience of practitioners, students, and new researchers seeking a straightforward introduction to policy theory and its practical lessons.

The work of Michel Foucault is much read, widely cited, and occasionally misunderstood. In response to this state of affairs, this collection aims to clarify, to contextualize, and to contribute to Foucauldian scholarship in a very specific way. Rather than offering either a conceptual introduction to Foucault's work, or a series of interventions aimed specifically at experts, After Foucault explores his critical afterlives, situates his work in current debates, and explains his intellectual legacy. As well as offering up-to-date assessments of Foucault's ongoing use in fields such as literary studies, sexuality studies, and history, chapters explore his relevance for urgent and emerging disciplines and debates, including ecology, animal studies, and the analysis of neoliberalism. Written in an accessible style, by leading experts, After Foucault demonstrates a commitment to taking seriously the work of a key twentieth-century thinker for contemporary academic disciplines, political ph

The work of Michel Foucault is much read, widely cited, and occasionally misunderstood. In response to this state of affairs, this collection aims to clarify, to contextualize, and to contribute to Foucauldian scholarship in a very specific way. Rather than offering either a conceptual introduction to Foucault's work, or a series of interventions aimed specifically at experts, After Foucault explores his critical afterlives, situates his work in current debates, and explains his intellectual legacy. As well as offering up-to-date assessments of Foucault's ongoing use in fields such as literary studies, sexuality studies, and history, chapters explore his relevance for urgent and emerging disciplines and debates, including ecology, animal studies, and the analysis of neoliberalism. Written in an accessible style, by leading experts, After Foucault demonstrates a commitment to taking seriously the work of a key twentieth-century thinker for contemporary academic disciplines, political ph

This up-to-date introduction to Griffiths' theory of period maps and period domains focusses on algebraic, group-theoretic and differential geometric aspects. Starting with an explanation of Griffiths' basic theory, the authors go on to introduce spectral sequences and Koszul complexes that are used to derive results about cycles on higher-dimensional algebraic varieties such as the Noether–Lefschetz theorem and Nori's theorem. They explain differential geometric methods, leading up to proofs of Arakelov-type theorems, the theorem of the fixed part and the rigidity theorem. They also use Higgs bundles and harmonic maps to prove the striking result that not all compact quotients of period domains are Kähler. This thoroughly revised second edition includes a new third part covering important recent developments, in which the group-theoretic approach to Hodge structures is explained, leading to Mumford–Tate groups and their associated domains, the Mumford–Tate varieties and generalization

Understanding Modern Warfare has established itself as the leading introduction to the issues, ideas, concepts and context necessary to understand the theory and conduct of warfare in the twentieth and twenty-first centuries. It is an invaluable text for military professionals and students of military history. Key features include: incisive coverage of the debates surrounding contemporary and future warfare; accessible, yet sophisticated, discussion across the land, sea, and air environments; and coverage of contemporary topics such as drones, cyber warfare, and hybrid warfare. The book makes extensive use of text boxes to explain key concepts and to reference extended examples, and it includes annotated guides to further reading and key questions to promote the reader's further thinking. This second edition has been fully revised and updated to take into account new debates and recent events in Syria, Iraq and Ukraine, and it has also been restructured to further improve its usefulnes

Understanding Modern Warfare has established itself as the leading introduction to the issues, ideas, concepts and context necessary to understand the theory and conduct of warfare in the twentieth and twenty-first centuries. It is an invaluable text for military professionals and students of military history. Key features include: incisive coverage of the debates surrounding contemporary and future warfare; accessible, yet sophisticated, discussion across the land, sea, and air environments; and coverage of contemporary topics such as drones, cyber warfare, and hybrid warfare. The book makes extensive use of text boxes to explain key concepts and to reference extended examples, and it includes annotated guides to further reading and key questions to promote the reader's further thinking. This second edition has been fully revised and updated to take into account new debates and recent events in Syria, Iraq and Ukraine, and it has also been restructured to further improve its usefulnes

Exploring Language and Linguistics considers the key concepts of linguistics and the application of these concepts to real-world settings. The first eight chapters cover the standard topics of introduction to linguistics courses, while subsequent chapters introduce students to applied topics such as media discourse, literary linguistics and psycholinguistics. Each chapter has been written by a subject expert and experienced teacher, ensuring that the text is both up-to-date and clearly presented. Numerous learning features provide extensive student support: exercises allow students to review their understanding of key topics; summaries encourage students to reflect on the main points of each chapter; figures, photos, tables and charts clarify complex topics; and annotated suggestions for further reading point students to resources for self-study. A companion website, with 170 self-test questions, suggested group exercises, audio files and links to additional web resources, completes th

Exploring Language and Linguistics considers the key concepts of linguistics and the application of these concepts to real-world settings. The first eight chapters cover the standard topics of introduction to linguistics courses, while subsequent chapters introduce students to applied topics such as media discourse, literary linguistics and psycholinguistics. Each chapter has been written by a subject expert and experienced teacher, ensuring that the text is both up-to-date and clearly presented. Numerous learning features provide extensive student support: exercises allow students to review their understanding of key topics; summaries encourage students to reflect on the main points of each chapter; figures, photos, tables and charts clarify complex topics; and annotated suggestions for further reading point students to resources for self-study. A companion website, with 170 self-test questions, suggested group exercises, audio files and links to additional web resources, completes th

Designed for students with only a basic knowledge of linguistics, this leading textbook provides a clear and practical introduction to phonology, the study of sound patterns in language. It teaches in a step-by-step fashion the logical techniques of phonological analysis and the fundamental theories that underpin it. This thoroughly revised and updated edition teaches students how to analyze phonological data, how to think critically about data, how to formulate rules and hypotheses, and how to test them. New to this edition: • Improved examples, over 60 exercises and 14 new problem sets from a wide variety of languages encourage students to practise their own analysis of phonological processes and patterns • A new and updated reference list of phonetic symbols and an updated transcription system, making data more accessible to students • Additional online material includes pedagogical suggestions and password-protected answer keys for instructors

This book teaches students and scholars of Greco-Roman medical history how to use and critically assess archaeological materials. Ancient medicine is a subject dominated by textual sources, yet there is a wealth of archaeological remains that can be used to broaden our understanding of medicine in the past. In order to use the information properly, this book explains how to ask questions of an archaeological nature, how to access different types of archaeological materials, and how to overcome problems the researcher might face. It also acts as an introduction to the archaeology of medicine for archaeologists interested in this aspect of their subject. Although the focus is on the Greco-Roman period, the methods and theories explained within the text can be applied to other periods in history. The areas covered include text as material culture, images, artifacts, spaces of medicine, and science and archaeology.

Quantum field theory is the application of quantum mechanics to systems with infinitely many degrees of freedom. This 2007 textbook presents quantum field theoretical applications to systems out of equilibrium. It introduces the real-time approach to non-equilibrium statistical mechanics and the quantum field theory of non-equilibrium states in general. It offers two ways of learning how to study non-equilibrium states of many-body systems: the mathematical canonical way and an easy intuitive way using Feynman diagrams. The latter provides an easy introduction to the powerful functional methods of field theory, and the use of Feynman diagrams to study classical stochastic dynamics is considered in detail. The developed real-time technique is applied to study numerous phenomena in many-body systems. Complete with numerous exercises to aid self-study, this textbook is suitable for graduate students in statistical mechanics and condensed matter physics.

The publications of the Hakluyt Society (founded in 1846) made available edited (and sometimes translated) early accounts of exploration. The first series, which ran from 1847 to 1899, consists of 100 books containing published or previously unpublished works by authors from Christopher Columbus to Sir Francis Drake, and covering voyages to the New World, to China and Japan, to Russia and to Africa and India. This 1857 volume is a compilation, edited by R. H. Major of the British Museum, of narratives of journeys to India 'in the century preceding the Portuguese discovery of the Cape of Good Hope; from Latin, Persian, Russian, and Italian sources'. India was regarded as a fabled source of riches even before the time of Alexander the Great, and Major's introduction surveys the surviving accounts of overland journeys there before the fifteenth century, assessing their validity and where possible matching ancient to modern place names.

The publications of the Hakluyt Society (founded in 1846) made available edited (and sometimes translated) early accounts of exploration. The first series, which ran from 1847 to 1899, consists of 100 books containing published or previously unpublished works by authors from Christopher Columbus to Sir Francis Drake, and covering voyages to the New World, to China and Japan, to Russia and to Africa and India. The two-volume account by Juan González de Mendoza of the history and geography of China was translated into English in 1588. It was the first detailed description of China available in English, though the introduction to this 1853 edition reviews several earlier reports by western travellers. Mendoza did not himself visit China; his first volume is derived largely from the papers of Martin de Rada, an Augustinian friar who went to China on a missionary expedition in 1575.

The publications of the Hakluyt Society (founded in 1846) made available edited (and sometimes translated) early accounts of exploration. The first series, which ran from 1847 to 1899, consists of 100 books containing published or previously unpublished works by authors from Christopher Columbus to Sir Francis Drake, and covering voyages to the New World, to China and Japan, to Russia and to Africa and India. This history of China derives mainly from the writings of the Flemish Jesuit Ferdinand Verbiest (1623–1688), who was sent as a missionary to China, and eventually, despite violent opposition, became Head of the Mathematical Board and Director of the Beijing Observatory for the Kangxi Emperor. The introduction to this 1854 edition sketches the life of Verbiest and discusses the sources of the text; an appendix gives a description by Verbiest himself of a hunting expedition on which he accompanied the emperor.

To the new student of international law, the subject can appear extremely complex: a system of laws created by states, international courts and tribunals operating at the national and global level. A clear guide to the subject is essential to ensure understanding. This handbook provides exactly that: written by an expert who both teaches and practises in the field, it focuses on what the law is; how it is created; and how it is applied to solve day-to-day problems. It offers a practical approach to the subject, giving it relevance and immediacy. The new edition retains a concise, user-friendly format allowing central principles such as jurisdiction and the law of treaties to be understood. In addition, it explores more specialised topics such as human rights, terrorism and the environment. This handbook is the ideal introduction for students new to international law.

To the new student of international law, the subject can appear extremely complex: a system of laws created by states, international courts and tribunals operating at the national and global level. A clear guide to the subject is essential to ensure understanding. This handbook provides exactly that: written by an expert who both teaches and practises in the field, it focuses on what the law is; how it is created; and how it is applied to solve day-to-day problems. It offers a practical approach to the subject, giving it relevance and immediacy. The new edition retains a concise, user-friendly format allowing central principles such as jurisdiction and the law of treaties to be understood. In addition, it explores more specialised topics such as human rights, terrorism and the environment. This handbook is the ideal introduction for students new to international law.

The publications of the Hakluyt Society (founded in 1846) made available edited (and sometimes translated) early accounts of exploration. The first series, which ran from 1847 to 1899, consists of 100 books containing published or previously unpublished works by authors from Christopher Columbus to Sir Francis Drake, and covering voyages to the New World, to China and Japan, to Russia and to Africa and India. This 1873 volume was the second on the history of Peru to be translated and edited by Clements R. Markham, Secretary of the Society. It contains four manuscript accounts of the rites and laws of the Incas which throw light on many aspects of Inca and pre-Inca society. All were written by people who had lived and worked in Peru in the sixteenth and early seventeenth century and had access to indigenous sources and traditions. The book includes a contextualising introduction and several indexes.

Under the Roman Empire Greek literature experienced a renaissance. This flowering of interest in the Classics was in part a revival of the traditional culture associated with the glorious past and in part a development of new forms such as the novel, the classical lecture and the erotic letter. This literature has traditionally been considerably underrated and the essays in this 1982 volume of Yale Classical Studies were collected in an attempt to draw attention to the literary excellence of some undeservedly neglected authors and to inspire more readers to take them seriously. As the editors say in their introduction: 'nowadays we look to papyrology for ocasional revelations of exciting new pieces of ancient literature, but there are masterpieces already on the shelves waiting to be noticed'. This book will be of interest to students of Greek literature and ancient hsitory, especially to those concerned with post-Hellenistic Greek culture.

Quantum field theory is the application of quantum mechanics to systems with infinitely many degrees of freedom. This 2007 textbook presents quantum field theoretical applications to systems out of equilibrium. It introduces the real-time approach to non-equilibrium statistical mechanics and the quantum field theory of non-equilibrium states in general. It offers two ways of learning how to study non-equilibrium states of many-body systems: the mathematical canonical way and an easy intuitive way using Feynman diagrams. The latter provides an easy introduction to the powerful functional methods of field theory, and the use of Feynman diagrams to study classical stochastic dynamics is considered in detail. The developed real-time technique is applied to study numerous phenomena in many-body systems. Complete with numerous exercises to aid self-study, this textbook is suitable for graduate students in statistical mechanics and condensed matter physics.

Dynamic assessment embeds interaction within the framework of a test-intervene-retest approach to psychoeducational assessment. This book offers an introduction to diagnostic assessors in psychology, education, and speech/language pathology to the basic ideas, principles, and practices of dynamic assessment. Most importantly, the book presents an array of specific procedures developed and used by the authors that can be applied to clients of all ages in both clinical and educational settings. The authors discuss their approach to report-writing, with a number of examples to demonstrate how they incorporate dynamic assessment into a comprehensive approach to assessment. The text concludes with a discussion of issues and questions that need to be considered and addressed. Two appendixes include descriptions of additional tests used by the authors that are adapted for dynamic assessment, as well as information about dynamic assessment procedures developed by others and sources for additio

Dynamic assessment embeds interaction within the framework of a test-intervene-retest approach to psychoeducational assessment. This book offers an introduction to diagnostic assessors in psychology, education, and speech/language pathology to the basic ideas, principles, and practices of dynamic assessment. Most importantly, the book presents an array of specific procedures developed and used by the authors that can be applied to clients of all ages in both clinical and educational settings. The authors discuss their approach to report-writing, with a number of examples to demonstrate how they incorporate dynamic assessment into a comprehensive approach to assessment. The text concludes with a discussion of issues and questions that need to be considered and addressed. Two appendixes include descriptions of additional tests used by the authors that are adapted for dynamic assessment, as well as information about dynamic assessment procedures developed by others and sources for additio

Rippling is a radically new technique for the automation of mathematical reasoning. It is widely applicable whenever a goal is to be proved from one or more syntactically similar givens. It was originally developed for inductive proofs, where the goal was the induction conclusion and the givens were the induction hypotheses. It has proved to be applicable to a much wider class of tasks, from summing series via analysis to general equational reasoning. The application to induction has especially important practical implications in the building of dependable IT systems, and provides solutions to issues such as the problem of combinatorial explosion. Rippling is the first of many new search control techniques based on formula annotation; some additional annotated reasoning techniques are also described here. This systematic and comprehensive introduction to rippling, and to the wider subject of automated inductive theorem proving, will be welcomed by researchers and graduate students alik

In the last few years, scientists have begun to answer some of the most fundamental questions about the origin and early evolution of the universe. In a fresh, engaging, and highly readable introduction to these ideas, James Lidsey deftly steers us along a journey back in time to the very origin of the universe. We are introduced to the fascinating ideas scientists are currently developing to explain what happened in the first billion, billion, billion, billionth of a second - the 'inflationary' epoch. Along the way we stop off to review the latest ideas on superstrings, parallel universes and the ultimate fate of our universe. Lucid analogies, clear and concise prose and straightforward language make this book a delight to read. It makes accessible to the general reader some of the most profound and complex ideas about the origin of our universe currently challenging the world's best scientists.

Plautus' Amphitruo is the sole specimen of mythological burlesque in ancient comedy to come down to us in nearly complete form. This sex farce delighted Roman audiences and readers for centuries and continues to inspire adaptations to this day. Dr Christenson utilizes recent work in performance criticism in conjunction with traditional philological analysis to provide new insights into the play in performance. The edition aims to recover the essence of Plautine spectacle from the most concrete details of staging to the complex performative dynamics played out among the actors themselves and the actors and the audience. Included in the Introduction is an account of the mythic and dramatic background to Plautus' play as well as of its influence in post-classical drama. Plautus' metres are explained in a manner students will find helpful and instructive. Dr Christenson presents a new text that includes stage directions in English.

Symmetry is the key to solving differential equations. There are many well-known techniques for obtaining exact solutions, but most of them are special cases of a few powerful symmetry methods. Furthermore, these methods can be applied to differential equations of an unfamiliar type; they do not rely on special 'tricks'. Instead, a given differential equation is forced to reveal its symmetries, which are then used to construct exact solutions. This book is a straightforward introduction to the subject, and is aimed at applied mathematicians, physicists, and engineers. The presentation is informal, using many worked examples to illustrate the main symmetry methods. It is written at a level suitable for postgraduates and advanced undergraduates, and is designed to enable the reader to master the main techniques quickly and easily. The book contains methods that have not previously appeared in a text. These include methods for obtaining discrete symmetries and integrating factors.

Symmetry is the key to solving differential equations. There are many well-known techniques for obtaining exact solutions, but most of them are special cases of a few powerful symmetry methods. Furthermore, these methods can be applied to differential equations of an unfamiliar type; they do not rely on special 'tricks'. Instead, a given differential equation is forced to reveal its symmetries, which are then used to construct exact solutions. This book is a straightforward introduction to the subject, and is aimed at applied mathematicians, physicists, and engineers. The presentation is informal, using many worked examples to illustrate the main symmetry methods. It is written at a level suitable for postgraduates and advanced undergraduates, and is designed to enable the reader to master the main techniques quickly and easily. The book contains methods that have not previously appeared in a text. These include methods for obtaining discrete symmetries and integrating factors.