Bringing the concepts of dimensional analysis, self-similarity, and fractal dimensions together in a logical and self-contained manner, this book reveals the close links between modern theoretical physics and applied mathematics. The author focuses on the classic applications of self-similar solutions within astrophysical systems, with some general theory of self-similar solutions, so as to provide a framework for researchers to apply the principles across all scientific disciplines. He discusses recent advances in theoretical techniques of scaling while presenting a uniform technique that encompasses these developments, as well as applications to almost any branch of quantitative science. The result is an invaluable reference for active scientists, featuring examples of dimensions and scaling in condensed matter physics, astrophysics, fluid mechanics, and general relativity, as well as in mathematics and engineering.
Praise for the First Edition «. . . an enchanting book for those people in computer science or mathematics who are fascinated by the concept of infinity.»—Computing Reviews «. . . a very well written introduction to set theory . . . easy to read and well suited for self-study . . . highly recommended.»—Choice The concept of infinity has fascinated and confused mankind for centuries with theories and ideas that cause even seasoned mathematicians to wonder. The Mathematics of Infinity: A Guide to Great Ideas, Second Edition uniquely explores how we can manipulate these ideas when our common sense rebels at the conclusions we are drawing. Continuing to draw from his extensive work on the subject, the author provides a user-friendly presentation that avoids unnecessary, in-depth mathematical rigor. This Second Edition provides important coverage of logic and sets, elements and predicates, cardinals as ordinals, and mathematical physics. Classic arguments and illustrative examples are provided throughout the book and are accompanied by a gradual progression of sophisticated notions designed to stun readers' intuitive view of the world. With an accessible and balanced treatment of both concepts and theory, the book focuses on the following topics: Logic, sets, and functions Prime numbers Counting infinite sets Well ordered sets Infinite cardinals Logic and meta-mathematics Inductions and numbers Presenting an intriguing account of the notions of infinity, The Mathematics of Infinity: A Guide to Great Ideas, Second Edition is an insightful supplement for mathematics courses on set theory at the undergraduate level. The book also serves as a fascinating reference for mathematically inclined individuals who are interested in learning about the world of counterintuitive mathematics.
Presents a systematic view of vibro-impact dynamics based on the nonlinear dynamics analysis Comprehensive understanding of any vibro-impact system is critically impeded by the lack of analytical tools viable for properly characterizing grazing bifurcation. The authors establish vibro-impact dynamics as a subset of the theory of discontinuous systems, thus enabling all vibro-impact systems to be explored and characterized for applications. Vibro-impact Dynamics presents an original theoretical way of analyzing the behavior of vibro-impact dynamics that can be extended to discontinuous dynamics. All topics are logically integrated to allow for vibro-impact dynamics, the central theme, to be presented. It provides a unified treatment on the topic with a sound theoretical base that is applicable to both continuous and discrete systems Vibro-impact Dynamics: Presents mapping dynamics to determine bifurcation and chaos in vibro-impact systems Offers two simple vibro-impact systems with comprehensive physical interpretation of complex motions Uses the theory for discontinuous dynamical systems on time-varying domains, to investigate the Fermi-oscillator Essential reading for graduate students, university professors, researchers and scientists in mechanical engineering.
The industry-specific guide to IFRS interpretation and application One of the biggest challenges of any reporting standard is how best to interpret and implement it in the context of a specific company or industry, given that each industry has its own intricacies and nuances. The Impact of IFRS on Industry provides specific guidance on applying IFRS in a diverse range of sectors. Opening with an overview of IFRS, including a summary of all the standards, the book goes on to provide detailed coverage of the standards that can impact all industries, including IAS-40, IFRS 1, and IFRS 5. Thereafter, it offers practical advice and guidance on the application of IFRS in specific industries, including automotive; oil and gas; bio-sciences; infrastructure; airlines; media and communications; government-owned entities; mining; software; banking and financial services; insurance; FMCG; shipping; pharmaceuticals; telecoms; real estate and construction; power; SMEs; retail; e-commerce; and the service sector. The book concludes with a discussion on the collateral impact of implementing IFRS and how forthcoming IFRS Standards could impact specific industries. Worked examples are used throughout to demonstrate how the standards are applied in practice. Understand the IFRS standards comprehensively Learn which standards impact all industries Examine the ways in which IFRS is applied in practice See how different standards are applied in specific industries Suitable as a quick reference or a comprehensive guide, The Impact of IFRS on Industry gives you the real-world IFRS answers you need.
The latest cutting-edge research on market microstructure Based on the December 2010 conference on market microstructure, organized with the help of the Institut Louis Bachelier, this guide brings together the leading thinkers to discuss this important field of modern finance. It provides readers with vital insight on the origin of the well-known anomalous «stylized facts» in financial prices series, namely heavy tails, volatility, and clustering, and illustrates their impact on the organization of markets, execution costs, price impact, organization liquidity in electronic markets, and other issues raised by high-frequency trading. World-class contributors cover topics including analysis of high-frequency data, statistics of high-frequency data, market impact, and optimal trading. This is a must-have guide for practitioners and academics in quantitative finance.
Your money can change the world The Impact Investor: Lessons in Leadership and Strategy for Collaborative Capitalism offers precise details on what, exactly, impact investing entails, embodied in the experiences and best and proven practices of some of the world's most successful impact investors, across asset classes, geographies and areas of impact. The book discusses the parameters of impact investing in unprecedented detail and clarity, providing both context and tools to those eager to engage in the generational shift in the way finance and business is being approached in the new era of Collaborative Capitalism. The book presents a simple thesis with clarity and conviction: «Impact investing can be done successfully. This is what success looks like, and this is what it requires.» With much-needed lessons for practitioners, the authors view impact investing as a harbinger of a new, more «multilingual» (cross-sector), transparent, and accountable form of economic leadership. The Impact Investor: Lessons in Leadership and Strategy for Collaborative Capitalism serves as a resource for a variety of players in finance and business, including: Investors: It demonstrates not only the types of investments which can be profitable and impactful, but also details best practices that, with roots in impact investing, will increasingly play a role in undergirding the success of all investment strategies. Wealth advisors/financial services professionals: With unprecedented detail on the innovative structures and strategies of impact investing funds, the book provides guidance to financial institutions on how to incorporate these investments in client portfolios. Foundations: The book explores the many catalytic and innovative ways for for-profit and non-profit investors to partner, amplifying the potential social and environmental impacts of philanthropic spending and market-rate endowment investment. Business students: By including strategies for making sound impact investments based on detailed case studies, it provides concrete lessons and explores the skills required to enhance prospects for success as a finance and business professional. Policy makers: Reinforcing the urgency of creating a supportive and enabling environment for impact investing, the book demonstrates ways policy has already shaped the sector, and suggests new ways for policymakers to support it. Corporate leaders: The book includes essential advice on the way business is and must be responding to a new generation of Millennial clients and customers, with unique insights into a form of value creation that is inherently more collaborative and outcomes-driven.
Enables chemical engineers to use mathematics to solve common on-the-job problems With its clear explanations, examples, and problem sets, Applied Mathematics and Modeling for Chemical Engineers has enabled thousands of chemical engineers to apply mathematical principles to successfully solve practical problems. The book introduces traditional techniques to solve ordinary differential equations as well as analytical methods to deal with important classes of finite-difference equations. It then explores techniques for solving partial differential equations from classical methods to finite-transforms, culminating with??numerical methods??including orthogonal collocation. This Second Edition demonstrates how classical mathematics solves a broad range of new applications that have arisen since the publication of the acclaimed first edition. Readers will find new materials and problems dealing with such topics as: Brain implant drug delivery Carbon dioxide storage Chemical reactions in nanotubes Dissolution of pills and pharmaceutical capsules Honeycomb reactors used in catalytic converters New models of physical phenomena such as bubble coalescence Like the first edition, this Second Edition provides plenty of worked examples that explain each step on the way to finding a problem's solution. Homework problems at the end of each chapter are designed to encourage readers to more deeply examine the underlying logic of the mathematical techniques used to arrive at the answers. Readers can refer to the references, also at the end of each chapter, to explore individual topics in greater depth. Finally, the text's appendices provide additional information on numerical methods for solving algebraic equations as well as a detailed explanation of numerical integration algorithms. Applied Mathematics and Modeling for Chemical Engineers is recommended for all students in chemical engineering as well as professional chemical engineers who want to improve their ability to use mathematics to solve common on-the-job problems.
Prepare students for success in using applied mathematics for engineering practice and post-graduate studies • moves from one mathematical method to the next sustaining reader interest and easing the application of the techniques • Uses different examples from chemical, civil, mechanical and various other engineering fields • Based on a decade’s worth of the authors lecture notes detailing the topic of applied mathematics for scientists and engineers • Concisely writing with numerous examples provided including historical perspectives as well as a solutions manual for academic adopters
This book presents a systematic review on traditional Arab herbal medicine including historical background, medical innovations introduced by Arab physicians, common roots of Arab medicine and western medicine, methodology of drug discovery and therapy in Arabic and Islamic medicine, a state-of-the-art description of traditional Arab herbal medicine, and evidence-based safety and efficacy of Arab and Islamic medicines. The usage of modern cell biological, biochemical, in vitro and in vivo techniques for the evaluation of medicinal plant safety and efficacy is also discussed. The toxicity of herbal formulations safety, quality assurances, and chemical analytical techniques are introduced in this book.
In an increasingly interconnected world, a dialogical self is not only possible but even necessary. People are closer together than ever, yet they are confronted with apparent and sometimes even insurmountable differences. While there is a need of increased dialogue between individuals, groups, and cultures, it is equally important to develop of dialogical potentials within the self of the individual person. Elaborating on these concerns, the authors present and discuss a Dialogical Self Theory based on the assumption that the self functions as a society of mind. The self is not simply participating in a “surrounding” society, but functions itself as a mini-society, which is, at the same time, part of the society at large. The authors: Present the theory in detail Explore the developmental origins of the dialogical self Elaborate on the identity development of adolescents growing up in multicultural societies Discuss a striking example of a social movement in India, where individual and collective voices merge in a nationwide protest. This is the 137th volume in this series. Its mission is to provide scientific and scholarly presentations on cutting edge issues and concepts in child and adolescent development. Each volume focuses on a specific new direction or research topic and is edited by experts on that topic.
Engage students in mathematics using growth mindset techniques The most challenging parts of teaching mathematics are engaging students and helping them understand the connections between mathematics concepts. In this volume, you'll find a collection of low floor, high ceiling tasks that will help you do just that, by looking at the big ideas at the fourth-grade level through visualization, play, and investigation. During their work with tens of thousands of teachers, authors Jo Boaler, Jen Munson, and Cathy Williams heard the same message—that they want to incorporate more brain science into their math instruction, but they need guidance in the techniques that work best to get across the concepts they needed to teach. So the authors designed Mindset Mathematics around the principle of active student engagement, with tasks that reflect the latest brain science on learning. Open, creative, and visual math tasks have been shown to improve student test scores, and more importantly change their relationship with mathematics and start believing in their own potential. The tasks in Mindset Mathematics reflect the lessons from brain science that: There is no such thing as a math person – anyone can learn mathematics to high levels. Mistakes, struggle and challenge are the most important times for brain growth. Speed is unimportant in mathematics. Mathematics is a visual and beautiful subject, and our brains want to think visually about mathematics. With engaging questions, open-ended tasks, and four-color visuals that will help kids get excited about mathematics, Mindset Mathematics is organized around nine big ideas which emphasize the connections within the Common Core State Standards (CCSS) and can be used with any current curriculum.
This history of America’s recent past focuses on the importance of the United States’ interaction with the outside world and includes detailed accounts of the presidencies of Reagan, Clinton and George W. Bush. Provides a substantial account of the dramatic history of America since 1980, covering the Reagan years, the Clinton presidency, the impact of 9/11, the War on Terror, and the election of Barack Obama Based on both secondary and primary resources, and includes research taken from newspapers, magazines, official documents, and memoirs Written by a distinguished contemporary historian and a leading historian of the United States Discusses the growing fragmentation of American society and the increasing distance between rich and poor under the impact of public policies and global forces
Macmillan Mathematics is a six-level Primary Mathematics course designed to meet the needs of international learners. The Teacher's Guide includes facsimiles of the Pupil's Book pages, answers to all the exercises, and supportive lesson notes to ensure that teachers get the most out of the course and their pupils.