Formulas

The theory of integer partitions is a subject of enduring interest. A major research area in its own right, it has found numerous applications, and celebrated results such as the Rogers-Ramanujan identities make it a topic filled with the true romance of mathematics. The aim in this introductory textbook is to provide an accessible and wide ranging introduction to partitions, without requiring anything more of the reader than some familiarity with polynomials and infinite series. Many exercises are included, together with some solutions and helpful hints. The book has a short introduction followed by an initial chapter introducing Euler's famous theorem on partitions with odd parts and partitions with distinct parts. This is followed by chapters titled: Ferrers Graphs, The Rogers-Ramanujan Identities, Generating Functions, Formulas for Partition Functions, Gaussian Polynomials, Durfee Squares, Euler Refined, Plane Partitions, Growing Ferrers Boards, and Musings.

The focus of this book is on algebro-geometric solutions of completely integrable nonlinear partial differential equations in (1+1)-dimensions, also known as soliton equations. Explicitly treated integrable models include the KdV, AKNS, sine-Gordon, and Camassa-Holm hierarchies as well as the classical massive Thirring system. An extensive treatment of the class of algebro-geometric solutions in the stationary as well as time-dependent contexts is provided. The formalism presented includes trace formulas, Dubrovin-type initial value problems, Baker-Akhiezer functions, and theta function representations of all relevant quantities involved. The book uses techniques from the theory of differential equations, spectral analysis, and elements of algebraic geometry (most notably, the theory of compact Riemann surfaces). The presentation is rigorous, detailed, and self-contained, with ample background material provided in various appendices. Detailed notes for each chapter together with an exh

This book provides a comprehensive account of a key (and perhaps the most important) theory upon which the Taylor–Wiles proof of Fermat's last theorem is based. The book begins with an overview of the theory of automorphic forms on linear algebraic groups and then covers the basic theory and results on elliptic modular forms, including a substantial simplification of the Taylor–Wiles proof by Fujiwara and Diamond. It contains a detailed exposition of the representation theory of profinite groups (including deformation theory), as well as the Euler characteristic formulas of Galois cohomology groups. The final chapter presents a proof of a non-abelian class number formula and includes several new results from the author. The book will be of interest to graduate students and researchers in number theory (including algebraic and analytic number theorists) and arithmetic algebraic geometry.

This book presents an up-to-date, unified treatment of research in bounded arithmetic and complexity of propositional logic, with emphasis on independence proofs and lower bound proofs. The author discusses the deep connections between logic and complexity theory and lists a number of intriguing open problems. An introduction to the basics of logic and complexity theory is followed by discussion of important results in propositional proof systems and systems of bounded arithmetic. More advanced topics are then treated, including polynomial simulations and conservativity results, various witnessing theorems, the translation of bounded formulas (and their proofs) into propositional ones, the method of random partial restrictions and its applications, direct independence proofs, complete systems of partial relations, lower bounds to the size of constant-depth propositional proofs, the method of Boolean valuations, the issue of hard tautologies and optimal proof systems, combinatorics and

Guide to making accurate business valuations based on investing metrics that matter In The Little Book of Valuation: How to Value a Company, Pick a Stock, and Profit, professor and economist Aswath Damodaran guides readers through the fundamentals and step-by-step process of picking winning companies to invest in. In the book, you'll learn how to make your own accurate valuation assessments, avoiding common pitfalls and mistakes along the way. From widespread misunderstandings to undeniable truths in valuation, the author covers exactly where to turn your attention to when assessing a company's value based on a myriad of factors, with stories and real examples included throughout to prepare you for any modern investing challenge you may find yourself facing. You'll also learn: Simple but extremely effective valuation tools and formulas for successThe complex relationship between assets, debt, equity, and business valueSpecial market considerations regarding valuation that require a dyn

This book presents methods for the summation of infinite and finite series and the related identities and inversion relations. The summation includes the column sums and row sums of lower triangular matrices. The convergence of the summation of infinite series is considered. The author's focus is on symbolic methods and the Riordan array approach. In addition, this book contains hundreds summation formulas and identities, which can be used as a handbook for people working in computer science, applied mathematics, and computational mathematics, particularly, combinatorics, computational discrete mathematics, and computational number theory. The exercises at the end of each chapter help deepen understanding.Much of the materials in this book has never appeared before in textbook form. This book can be used as a suitable textbook for advanced courses for high lever undergraduate and lower lever graduate students. It is also an introductory self-study book for re- searchers interested in t

This is the first in-depth study of the first three ICC trials: an engaging, accessible text meant for specialists and students, for legal advocates and a wide range of professionals concerned with diverse cultures, human rights, and restorative justice. It introduces international justice and courtroom trials in practical terms, offering a balanced view on persistent tensions and controversies. Separate chapters analyze the working realities of central African armed conflicts, finding reasons for their surprising resistance to ICC legal formulas. The book dissects the Court's structural dynamics, which were designed to steer an elusive middle course between high moral ideals and hard political realities. Detailed chapters provide vivid accounts of courtroom encounters with four Congolese suspects. The mixed record of convictions, acquittals, dissents, and appeals, resulting from these trials, provides a map of distinct fault-lines within the ICC legal code, and suggests a rocky path a

●EXPANDED TOPICS: The discussion of energy, for example, was expanded to support content referencing energy that appears before chapter 7.●REORGANIZED END-OF-CHAPTER QUESTIONS support the special attention paid to the fluidity of topics relative to learning through the atoms first approach.●REACTION ENTHALPY ESTIMATIONS from bond enthalpy was moved from chapter 3 to chapter 7 so that it appears after students have studied reactions in more detail.●INCREASED CLARITY: Since nomenclature appears in later chapters, both formulas and names of molecules are referenced to not assume students have a prior knowledge of nomenclature.●LADDERED ASSESSMENT SETS: Laddered Assessments are new assignment sets in OWLv2 that combine conceptual modules with more traditional homework questions. This provides students a structured learning path to bolster their skills. Students start with conceptual exercises like tutorials and simulations, then practice single concepts and skills in Mastery, then finally

This book provides an introduction to modern homotopy theory through the lens of higher categories after Joyal and Lurie, giving access to methods used at the forefront of research in algebraic topology and algebraic geometry in the twenty-first century. The text starts from scratch - revisiting results from classical homotopy theory such as Serre's long exact sequence, Quillen's theorems A and B, Grothendieck's smooth/proper base change formulas, and the construction of the Kan–Quillen model structure on simplicial sets - and develops an alternative to a significant part of Lurie's definitive reference Higher Topos Theory, with new constructions and proofs, in particular, the Yoneda Lemma and Kan extensions. The strong emphasis on homotopical algebra provides clear insights into classical constructions such as calculus of fractions, homotopy limits and derived functors. For graduate students and researchers from neighbouring fields, this book is a user-friendly guide to advanced tools

Perfect for senior undergraduates and first-year graduate students in geophysics, physics, mathematics, geology and engineering, this book is devoted exclusively to seismic wave theory. The result is an invaluable teaching tool, with its detailed derivations of formulas, clear explanations of topics, exercises along with selected answers, and an additional set of exercises with derived answers on the book's website. Some highlights of the text include: a review of vector calculus and Fourier transforms and an introduction to tensors, which prepare readers for the chapters to come; and a detailed discussion on computing reflection and transmission coefficients, a topic of wide interest in the field; a discussion in later chapters of plane waves in anisotropic and anelastic media, which serves as a useful introduction to these two areas of current research in geophysics. Students will learn to understand seismic wave theory through the book's clear and concise pedagogy.

This book shows that the semantic analysis of modal notions of possibility and necessity can be used to enhance our understanding of the interpretation of reports of belief or emotional state. It introduces intuitive notation and terminology to express ideas in modern theories of modal interpretation that are normally represented in complex logical formulas, effectively updates the 1960s-era link between possible worlds and the semantics of propositional attitude ascriptions, and reconciles two disparate views of the role of events in semantic interpretation, that of Donald Davidson and that of David Lewis. It reduces a host of variable behaviors of propositional attitude ascription to an intuitive and precise distinction between ascriptions that merely express a commitment to propositional content versus ones that attribute a mental state to the holder of the propositional attitude. This leads to an explanation of the nature and effects of the language disorder of fluent aphasia.

WEBASSIGN: FINITE MATHEMATICS FOR THE MANAGERIAL, LIFE, AND SOCIAL SCIENCES, Twelfth Edition, is fully supported by WebAssign, the powerful online homework and course management system that engages students in learning the math. WebAssign includes new end-of-chapter exercises and pre-built assignments vetted by trusted subject matter experts along with robust course, section, assignment, and question settings and online testing to help instructors foster a deeper understanding of course concepts.CAREFULLY-CRAFTED EXERCISE SETS: SECTION EXERCISE SETS include Self-Check Exercises that let students solve problems and check their work against worked-out solutions, Concept Exercises that let students gauge their understanding, and Exercise Sets with a mix of rote and applied problems. CHAPTER REVIEW EXERCISE SETS include Summary of Principal Formulas and Terms for easy reference, fill-in-the-blank Concept Review questions that reinforce chapter terms and concepts, Review Exercises, and Befo

Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. This volume, the third publication in the Perspectives in Logic series, is a much-needed monograph on the metamathematics of first-order arithmetic. The authors pay particular attention to subsystems (fragments) of Peano arithmetic and give the reader a deeper understanding of the role of the axiom schema of induction and of the phenomenon of incompleteness. The reader is only assumed to know the basics of mathematical logic, which are reviewed in the preliminaries. Part I develops parts of mathematics and logic in various fragments. Part II is devoted to incompleteness. Finally, Part III studies systems that have the induction schema restricted to bounded formulas (bounded arithmetic).

This comprehensive, full-color guide provides detailed, easy-to-follow instructions for making and using approximately 250 herbal medicines at home, including practical tips and numerous effective formulas developed and tested by the authors, both expert herbalists with years of experience. Readers who appreciate the health-giving properties of herbal medicines but are discouraged by the high price of commercial products can now make their own preparations for a fraction of the cost. The authors tell you everything you need to know about harvesting, preparing, and administering herbs in many different forms, including fresh, bulk dried herbs, capsules, extracts in water, alcohol, glycerin, vinegar and oil, and even preparations like essential oils and flower essences. The book also covers topical applications of herbs as salves, lotions, poultices, tooth powders, ear drops, and more, and includes an extensive chapter on herbal hydrotherapy.The Modern Herbal Dispensary explains why diff

Networks are everywhere, from the internet, to social networks, and the genetic networks that determine our biological existence. Illustrated throughout in full colour, this pioneering textbook, spanning a wide range of topics from physics to computer science, engineering, economics and the social sciences, introduces network science to an interdisciplinary audience. From the origins of the six degrees of separation to explaining why networks are robust to random failures, the author explores how viruses like Ebola and H1N1 spread, and why it is that our friends have more friends than we do. Using numerous real-world examples, this innovatively designed text includes clear delineation between undergraduate and graduate level material. The mathematical formulas and derivations are included within Advanced Topics sections, enabling use at a range of levels. Extensive online resources, including films and software for network analysis, make this a multifaceted companion for anyone with an

This book shows that the semantic analysis of modal notions of possibility and necessity can be used to enhance our understanding of the interpretation of reports of belief or emotional state. It introduces intuitive notation and terminology to express ideas in modern theories of modal interpretation that are normally represented in complex logical formulas, effectively updates the 1960s-era link between possible worlds and the semantics of propositional attitude ascriptions, and reconciles two disparate views of the role of events in semantic interpretation, that of Donald Davidson and that of David Lewis. It reduces a host of variable behaviors of propositional attitude ascription to an intuitive and precise distinction between ascriptions that merely express a commitment to propositional content versus ones that attribute a mental state to the holder of the propositional attitude. This leads to an explanation of the nature and effects of the language disorder of fluent aphasia.

The Dirichlet space is one of the three fundamental Hilbert spaces of holomorphic functions on the unit disk. It boasts a rich and beautiful theory, yet at the same time remains a source of challenging open problems and a subject of active mathematical research. This book is the first systematic account of the Dirichlet space, assembling results previously only found in scattered research articles, and improving upon many of the proofs. Topics treated include: the Douglas and Carleson formulas for the Dirichlet integral, reproducing kernels, boundary behaviour and capacity, zero sets and uniqueness sets, multipliers, interpolation, Carleson measures, composition operators, local Dirichlet spaces, shift-invariant subspaces, and cyclicity. Special features include a self-contained treatment of capacity, including the strong-type inequality. The book will be valuable to researchers in function theory, and with over 100 exercises it is also suitable for self-study by graduate students.

Counterinsurgency has staked its claim in the new century as the new American way of war. Yet, the wars in Afghanistan and Iraq have revived a historical debate about the costs - monetary, political and moral - of operations designed to eliminate insurgents and build nations. Today's counterinsurgency proponents point to 'small wars' past to support their view that the enemy is 'biddable' if the correct tactical formulas are applied. Douglas Porch's sweeping history of counterinsurgency campaigns carried out by the three 'providential nations' of France, Britain and the United States, ranging from nineteenth-century colonial conquests to General Petraeus' 'Surge' in Iraq, challenges the contemporary mythologising of counterinsurgency as a humane way of war. The reality, he reveals, is that 'hearts and minds' has never been a recipe for lasting stability and that past counterinsurgency campaigns have succeeded not through state-building but by shattering and dividing societies while uns

Counterinsurgency has staked its claim in the new century as the new American way of war. Yet, the wars in Afghanistan and Iraq have revived a historical debate about the costs - monetary, political and moral - of operations designed to eliminate insurgents and build nations. Today's counterinsurgency proponents point to 'small wars' past to support their view that the enemy is 'biddable' if the correct tactical formulas are applied. Douglas Porch's sweeping history of counterinsurgency campaigns carried out by the three 'providential nations' of France, Britain and the United States, ranging from nineteenth-century colonial conquests to General Petraeus' 'Surge' in Iraq, challenges the contemporary mythologising of counterinsurgency as a humane way of war. The reality, he reveals, is that 'hearts and minds' has never been a recipe for lasting stability and that past counterinsurgency campaigns have succeeded not through state-building but by shattering and dividing societies while uns

This textbook presents the chemistry of the environment using the full strength of physical, inorganic and organic chemistry, in addition to the necessary mathematics and physics. It provides a broad yet thorough description of the environment and the environmental impact of human activity using scientific principles. It gives an accessible account while paying attention to the fundamental basis of the science, showing derivations of formulas and giving primary references and historical insight. The authors make consistent use of professionally accepted nomenclature (IUPAC and SI), allowing transparent access to the material by students and scientists from other fields. This textbook has been developed through many years of feedback from students and colleagues. It includes more than 400 online student exercises that have been class tested and refined. The book will be invaluable in environmental chemistry courses for advanced undergraduate and graduate students and professionals in ch

This textbook presents the chemistry of the environment using the full strength of physical, inorganic and organic chemistry, in addition to the necessary mathematics and physics. It provides a broad yet thorough description of the environment and the environmental impact of human activity using scientific principles. It gives an accessible account while paying attention to the fundamental basis of the science, showing derivations of formulas and giving primary references and historical insight. The authors make consistent use of professionally accepted nomenclature (IUPAC and SI), allowing transparent access to the material by students and scientists from other fields. This textbook has been developed through many years of feedback from students and colleagues. It includes more than 400 online student exercises that have been class tested and refined. The book will be invaluable in environmental chemistry courses for advanced undergraduate and graduate students and professionals in ch

Formal systems that describe computations over syntactic structures occur frequently in computer science. Logic programming provides a natural framework for encoding and animating such systems. However, these systems often embody variable binding, a notion that must be treated carefully at a computational level. This book aims to show that a programming language based on a simply typed version of higher-order logic provides an elegant, declarative means for providing such a treatment. Three broad topics are covered in pursuit of this goal. First, a proof-theoretic framework that supports a general view of logic programming is identified. Second, an actual language called λProlog is developed by applying this view to higher-order logic. Finally, a methodology for programming with specifications is exposed by showing how several computations over formal objects such as logical formulas, functional programs, and λ-terms and π-calculus expressions can be encoded in λProlog.

Scientists need statistics. Increasingly this is accomplished using computational approaches. Freeing readers from the constraints, mysterious formulas and sophisticated mathematics of classical statistics, this book is ideal for researchers who want to take control of their own statistical arguments. It demonstrates how to use spreadsheet macros to calculate the probability distribution predicted for any statistic by any hypothesis. This enables readers to use anything that can be calculated (or observed) from their data as a test statistic and hypothesize any probabilistic mechanism that can generate data sets similar in structure to the one observed. A wide range of natural examples drawn from ecology, evolution, anthropology, palaeontology and related fields give valuable insights into the application of the described techniques, while complete example macros and useful procedures demonstrate the methods in action and provide starting points for readers to use or modify in their ow

Building upon the ideas introduced in their previous book, Derivatives in Financial Markets with Stochastic Volatility, the authors study the pricing and hedging of financial derivatives under stochastic volatility in equity, interest-rate, and credit markets. They present and analyze multiscale stochastic volatility models and asymptotic approximations. These can be used in equity markets, for instance, to link the prices of path-dependent exotic instruments to market implied volatilities. The methods are also used for interest rate and credit derivatives. Other applications considered include variance-reduction techniques, portfolio optimization, forward-looking estimation of CAPM 'beta', and the Heston model and generalizations of it. 'Off-the-shelf' formulas and calibration tools are provided to ease the transition for practitioners who adopt this new method. The attention to detail and explicit presentation make this also an excellent text for a graduate course in financial and ap

This 1908 work supplements Hall's Studies in English Official Historical Documents. It gives examples of a wide range of English diplomatic documents from the seventh to the nineteenth centuries. These are arranged according to type and purpose, the majority in Latin, but others in French or English. The intention is to assist the user of such archival materials, by familiarising them with the format and language used in each kind of document, and explaining why and how they were written. The 211 transcriptions were made by palaeography students at the London School of Economics, and classified and edited with extensive notes by Mr Hall. They are not literal transcriptions, as contractions have been expanded, and the punctuation and capitalisation modernised. To save space, standard formulas have not been repeated each time. Despite the lack of any illustrations of originals, the book filled a need long felt by students of history.

This 1909 work forms a second supplement to Hall's Studies in English Official Historical Documents. It gives examples of a wide range of English ministerial and judicial documents from the ninth to the seventeenth centuries. These are arranged according to type and purpose, the majority in Latin. The intention is to assist the user of such archival materials, by familiarising them with the format and language used in each kind of document, and explaining why and how they were written. The 80 transcriptions were made by palaeography students at the London School of Economics, and classified and edited with extensive notes by Mr Hall. They are not literal transcriptions, as contractions have been expanded, and the punctuation and capitalisation modernised. To save space standard formulas have not been repeated each time. Despite the lack of any illustrations of originals, the book filled a need long felt by students of history.

This is a self-contained 2010 account of the state of the art in classical complex multiplication that includes recent results on rings of integers and applications to cryptography using elliptic curves. The author is exhaustive in his treatment, giving a thorough development of the theory of elliptic functions, modular functions and quadratic number fields and providing a concise summary of the results from class field theory. The main results are accompanied by numerical examples, equipping any reader with all the tools and formulas they need. Topics covered include: the construction of class fields over quadratic imaginary number fields by singular values of the modular invariant j and Weber's tau-function; explicit construction of rings of integers in ray class fields and Galois module structure; the construction of cryptographically relevant elliptic curves over finite fields; proof of Berwick's congruences using division values of the Weierstrass p-function; relations between ell

Written by a former news reporter and editor, News Talk gives us an insider's view of the media, showing how journalists select and construct their news stories. Colleen Cotter goes behind the scenes, revealing how language is chosen and shaped by news staff into the stories we read and hear. Tracing news stories from start to finish, she shows how the actions of journalists and editors - and the limitations of news writing formulas - may distort a story that was prepared with the most determined effort to be fair and accurate. Using insights from both linguistics and journalism, News Talk is a remarkable picture of a hidden world and its working practices on both sides of the Atlantic. It will interest those involved in language study, media and communication studies and those who want to understand how media shape our language and our view of the world.

Written by a former news reporter and editor, News Talk gives us an insider's view of the media, showing how journalists select and construct their news stories. Colleen Cotter goes behind the scenes, revealing how language is chosen and shaped by news staff into the stories we read and hear. Tracing news stories from start to finish, she shows how the actions of journalists and editors - and the limitations of news writing formulas - may distort a story that was prepared with the most determined effort to be fair and accurate. Using insights from both linguistics and journalism, News Talk is a remarkable picture of a hidden world and its working practices on both sides of the Atlantic. It will interest those involved in language study, media and communication studies and those who want to understand how media shape our language and our view of the world.

Sure to be influential, this book lays the foundations for the use of algebraic geometry in statistical learning theory. Many widely used statistical models and learning machines applied to information science have a parameter space that is singular: mixture models, neural networks, HMMs, Bayesian networks, and stochastic context-free grammars are major examples. Algebraic geometry and singularity theory provide the necessary tools for studying such non-smooth models. Four main formulas are established: 1. the log likelihood function can be given a common standard form using resolution of singularities, even applied to more complex models; 2. the asymptotic behaviour of the marginal likelihood or 'the evidence' is derived based on zeta function theory; 3. new methods are derived to estimate the generalization errors in Bayes and Gibbs estimations from training errors; 4. the generalization errors of maximum likelihood and a posteriori methods are clarified by empirical process theory o

In 1821, the French mathematician Augustin-Louis Cauchy published Cours d'Analyse de L'École Royale Polytechnique, a textbook designed to teach his students the basic theorems of calculus in as rigorous a way as possible. Cauchy was a pioneer of mathematical analysis, a branch of mathematics concerned with the idea of a limit, whether of a sequence or of a function. This book consists of 12 chapters that discuss real functions, infinitely small and large quantities, substitution groups, symmetrical functions, unknown variables, imaginary functions, and rational fractions in a recurrent series. It also provides formulas for solving various problems, such as converting the sine and cosine of a multiple polynomial arc and the Lagrange interpolation. Cauchy built on the work of Leibniz and Newton and is generally regarded as one of the greatest mathematicians in history. This is a reissue of one of his most important contributions.

How exactly did political power operate in early medieval Europe? Taking Alsace as his focus, Hans Hummer offers an intriguing new case study on localised and centralised power and the relationship between the two from c. 600–1000. Providing a panoramic survey of the sources from the region, which include charters, notarial formulas, royal instruments, and Old High German literature, he untangles the networks of monasteries and kin groups which made up the political landscape of Alsace, and shows the significance of monastic control in shaping that landscape. He also investigates this local structure in light of comparative evidence from other regions. He tracks the emergence of the distinctive local order during the seventh century to its eventual decline in the late tenth century in the face of radical monastic reform. Highly original and well balanced, this 2006 work is of interest to all students of medieval political structures.

The theory of Hardy spaces has close connections to many branches of mathematics including Fourier analysis, harmonic analysis, singular integrals, potential theory and operator theory, and has found essential applications in robust control engineering. For each application, the ability to represent elements of these classes by series or integral formulas is of utmost importance. This self-contained text provides an introduction to a wide range of representation theorems and provides a complete description of the representation theorems with direct proofs for both classes of Hardy spaces: Hardy spaces of the open unit disc and Hardy spaces of the upper half plane. With over 300 exercises, many with accompanying hints, this book is ideal for those studying Advanced Complex Analysis, Function Theory or Theory of Hardy Spaces. Advanced undergraduate and graduate students will find the book easy to follow, with a logical progression from basic theory to advanced research.

The theory of Hardy spaces has close connections to many branches of mathematics including Fourier analysis, harmonic analysis, singular integrals, potential theory and operator theory, and has found essential applications in robust control engineering. For each application, the ability to represent elements of these classes by series or integral formulas is of utmost importance. This self-contained text provides an introduction to a wide range of representation theorems and provides a complete description of the representation theorems with direct proofs for both classes of Hardy spaces: Hardy spaces of the open unit disc and Hardy spaces of the upper half plane. With over 300 exercises, many with accompanying hints, this book is ideal for those studying Advanced Complex Analysis, Function Theory or Theory of Hardy Spaces. Advanced undergraduate and graduate students will find the book easy to follow, with a logical progression from basic theory to advanced research.

By analysing original sources and evaluating conceptual frameworks, this book discusses the idea proclaimed in the Preamble to the Constitution that Australia is a federal commonwealth. Taking careful account of the influence which the American, Canadian and Swiss Constitutions had upon the framers of the Australian Constitution, the author shows how the framers wrestled with the problem of integrating federal ideas with inherited British traditions and their own experiences of parliamentary government. In so doing, the book explains how the Constitution came into being in the context of the groundswell of federal ideas then sweeping the English-speaking world. In advancing an original argument about the relationship between the formation of the Constitution, the representative institutions, configurations of power and amending formulas contained therein, light is shed on the terms and structure of the Constitution and a range of problems associated with its interpretation and practica

By analysing original sources and evaluating conceptual frameworks, this book discusses the idea proclaimed in the Preamble to the Constitution that Australia is a federal commonwealth. Taking careful account of the influence which the American, Canadian and Swiss Constitutions had upon the framers of the Australian Constitution, the author shows how the framers wrestled with the problem of integrating federal ideas with inherited British traditions and their own experiences of parliamentary government. In so doing, the book explains how the Constitution came into being in the context of the groundswell of federal ideas then sweeping the English-speaking world. In advancing an original argument about the relationship between the formation of the Constitution, the representative institutions, configurations of power and amending formulas contained therein, light is shed on the terms and structure of the Constitution and a range of problems associated with its interpretation and practica

Geometric tomography deals with the retrieval of information about a geometric object from data concerning its projections (shadows) on planes or cross-sections by planes. It is a geometric relative of computerized tomography, which reconstructs an image from X-rays of a human patient. The subject overlaps with convex geometry and employs many tools from that area, including some formulas from integral geometry. It also has connections to discrete tomography, geometric probing in robotics and to stereology. This comprehensive study provides a rigorous treatment of the subject. Although primarily meant for researchers and graduate students in geometry and tomography, brief introductions, suitable for advanced undergraduates, are provided to the basic concepts. More than 70 illustrations are used to clarify the text. The book also presents 66 unsolved problems. Each chapter ends with extensive notes, historical remarks, and some biographies. This edition includes numerous updates and imp

Geometric tomography deals with the retrieval of information about a geometric object from data concerning its projections (shadows) on planes or cross-sections by planes. It is a geometric relative of computerized tomography, which reconstructs an image from X-rays of a human patient. The subject overlaps with convex geometry and employs many tools from that area, including some formulas from integral geometry. It also has connections to discrete tomography, geometric probing in robotics and to stereology. This comprehensive study provides a rigorous treatment of the subject. Although primarily meant for researchers and graduate students in geometry and tomography, brief introductions, suitable for advanced undergraduates, are provided to the basic concepts. More than 70 illustrations are used to clarify the text. The book also presents 66 unsolved problems. Each chapter ends with extensive notes, historical remarks, and some biographies. This edition includes numerous updates and imp

Special deluxe edition of The Psychology of Money with new bonus chapter content from Morgan Housel. Limited edition while supplies last. The Sunday Times Number One Bestseller.Over 8 million copies sold around the world. The original book from Morgan Housel, the New York Times bestselling author of Same As Ever. As featured on the Dr Chatterjee podcast Feel Better, Live More and the Diary of a CEO podcast with Steven Bartlett.Doing well with money isn't necessarily about what you know. It's about how you behave. And behavior is hard to teach, even to really smart people.Money – investing, personal finance, and business decisions – is typically taught as a math-based field, where data and formulas tell us exactly what to do. But in the real world people don't make financial decisions on a spreadsheet. They make them at the dinner table, or in a meeting room, where personal history, your own unique view of the world, ego, pride, marketing, and odd incentives are scrambled together.In Th

Discover the official resource for success on the 2025 CFA Level II exam. Get your copy of the CFA® Program Curriculum now.The 2025 CFA Program Curriculum Level II Box Set contains the content you need to perform well on the Level II CFA exam in 2025. Designed for candidates to use for exam preparation and professional reference purposes, this set includes the full official curriculum for Level II and is part of the larger CFA Candidate Body of Knowledge (CBOK).Organized to get you accustomed to the Level II exam’s heavy reliance on vignettes, the Level II curriculum will help you master mini case studies and accompanying analyses.The 2025 CFA Program Curriculum Level II Box Set allows you to:Develop critical knowledge and skills essential in the industry.Learn from financial thought leaders.Access market-relevant instruction.The set also offers practice questions to assist with your mastery of key terms, concepts, and formulas. The volumes in the Level II box set are:Volume 1: Quantit