You proceed at your own rate and any difficulties you may encounter are resolved before you move on to the next topic. With a step-by-step programmed approach that is complemented by hundreds of worked examples and exercises, Advanced Engineering Mathematics is ideal as an on-the-job reference for professionals or as a self-study guide for students.Uses a unique technique-oriented approach that takes the reader through each topic step-by-step.Features a wealth of worked examples and progressively more challenging exercises.Contains Test Exercises, Learning Outcomes, Further Problems, and Can You? Checklists to guide and enhance learning and comprehension.Expanded coverage includes new chapters on Z Transforms, Fourier Transforms, Numerical Solutions of Partial Differential Equations, and more Complex Numbers.Includes a new chapter, Introduction to Invariant Linear Systems, and new material on difference equations integrated into the Z transforms chapter.

    Unlike party puzzles or brain teasers, many paradoxes are serious in that they raise serious philosophical problems, and are associated with crises of thought and revolutionary advances. To grapple with them is not merely to engage in an intellectual game, but to come to grips with issues of real import. The second, revised edition of this intriguing book expands and updates the text to take account of new work on the subject. It provides a valuable and accessible introduction to a range of paradoxes and their possible solutions, with questions designed to engage the reader with the arguments and full bibliographical references to both classic and current literature on the topic.

    It is universally recognized as the standard English version of Aristotle. This revised edition contains the substance of the original translation, slightly emended in light of recent scholarship; three of the original versions have been replaced by new translations; and a new and enlarged selection of Fragments has been added. The aim of the translation remains the same: to make the surviving works of Aristotle readily accessible to English speaking readers.

    Notions like denumerability, modal scope distinction, Bayesian conditionalization, and logical completeness are usually only elucidated deep within difficultspecialist texts. By offering simple explanations that by-pass much irrelevant and boring detail, Philosophical Devices is able to cover a wealth of material that is normally only available to specialists.The book contains four sections, each of three chapters. The first section is about sets and numbers, starting with the membership relation and ending with the generalized continuum hypothesis. The second is about analyticity, a prioricity, and necessity. The third is about probability, outliningthe difference between objective and subjective probability and exploring aspects of conditionalization and correlation. The fourth deals with metalogic, focusing on the contrast between syntax and semantics, and finishing with a sketch of Godel's theorem.Philosophical Devices will be useful for university students who have got past the foothills of philosophy and are starting to read more widely, but it does not assume any prior expertise. All the issues discussed are intrinsically interesting, and often downright fascinating. It can be read withpleasure and profit by anybody who is curious about the technical infrastructure of contemporary philosophy.

    It shows how causality has grown from a nebulous concept into a mathematical theory with significant applications in the fields of statistics, artificial intelligence, philosophy, cognitive science, and the health and social sciences. Pearl presents a unified account of the probabilistic, manipulative, counterfactual and structural approaches to causation, and devises simple mathematical tools for analyzing the relationships between causal connections, statistical associations, actions and observations. The book will open the way for including causal analysis in the standard curriculum of statistics, artifical intelligence, business, epidemiology, social science and economics. Students in these areas will find natural models, simple identification procedures, and precise mathematical definitions of causal concepts that traditional texts have tended to evade or make unduly complicated. This book will be of interest to professionals and students in a wide variety of fields. Anyone who wishes to elucidate meaningful relationships from data, predict effects of actions and policies, assess explanations of reported events, or form theories of causal understanding and causal speech will find this book stimulating and invaluable. Professor of Computer Science at the UCLA, Judea Pearl is the winner of the 2008 Benjamin Franklin Award in Computers and Cognitive Science.

    Philosophy for Everyone begins by explaining what philosophy is before exploring the questions and issues at the foundation of this important subject.Key topics and their areas of focus include:Epistemology - what our knowledge of the world and ourselves consists in, and how we come to have it; Philosophy of Science - foundational conceptual issues in scientific research and practice; Philosophy of Mind - what it means for something to have a mind, and how minds should be understood and explained; Moral Philosophy - the nature of our moral judgements and reactions, whether they aim at some objective moral truth, or are mere personal or cultural preferences, and; Metaphysics - fundamental conceptual questions about the nature of reality.Designed to be used on the corresponding Introduction to Philosophy online course offered by The University of Edinburgh, this book is also highly recommended to anyone looking for a short overview of this fascinating discipline.

    We are not reading someone else's mail--as though reading the Bible had to do foremost with recovering an ancient meaning intended for someone else and then translating its principles for use in our own lives. When we recall that we are the people of God to whom the Bible is addressed as Scripture, we realize that the fundamental transformation is not the transformation of an ancient message into a contemporary meaning, bur rather the transformation of our lives by means of God's Word. This means that reading the Bible as Scripture has less to do with what tools we bring to the task, however important these may be, and more to do with our own dispositions as we come to our engagement with Scripture. We come not so much to retrieve facts or to gain information, but to be formed and ultimately, transformed. Scripture does not present us with texts to be mastered but with a Word, God's Word, intent on mastering us, on shaping our lives.

    Without undermining individual Bible study, private prayer, and meditation, the authors emphasize these pursuits for the purpose of both personal and community enrichment-that the whole body, as well as the individual, may be built up.Part 1 lays the groundwork of spiritual formation. Jonathan Morrow develops a distinctively evangelical theology, while Richard Averbeck writes about worship. Then Gordon Johnston and Darrell Bock delve into the text of Scripture, grounding the pursuit of spiritual formation in revealed truth.Part 2 focuses on functional aspects of spiritual formation. Klaus Issler emphasizes the importance of the heart in spiritual formation, while Reid Kisling illustrates the vital connection between character development and spiritual formation. Bill Miller explores love's role as the motivation for spiritual formation. Andrew Seidel examines servant leadership, and George Hillman extends the discussion to include the significance of calling. Gail Seidel discusses personal narrative as a catalyst for spiritual formation, and in closing, Harry Shields advocates the public preaching of the Word as a tool for spiritual formation.

    They will also develop a deeper understanding of the many interconnections that exist among the different areas of psychology. Goodwin's book not only provides accounts of the lives and contributions of psychology's pioneers set into historical context; it also contains original writings by these psychologists, interwoven with informative comments from the author. The text is written in a conversational and engaging style with discrete attention to recent scholarship in the history of psychology, especially that of the past 150 years.

    It gives clear descriptions of linear systems and uses mathematics not only to prove axiomatic theory, but also to enhance physical and intuitive understanding.

    It invites both introductory and advanced students to appreciate the roots and limits of American exceptionalism, and to recognize the profound importance of current debates over the government's role in our everyday lives.

    One of the all time best-sellers, this text is widely used because of its careful, streamlined, and intuitive chapter organization. Case & Fair, present a very precise and simplified microeconomic model first, before introducing all the exceptions and subtleties of a more complex economic world. Only after this simplified model is developed, do the authors give a thorough treatment of market imperfections, externalities, public finance, and international economics. (A detailed summary of this approach can be found on the page directly following the inside front cover).

    Equanimity or ‘inner peace’ is a prerequisite for being a happy and flourishing person according to Stoic philosophy. Therefore, it’s no surprise that ancient Stoic texts contain invaluable wisdom on how to calm the mind. The challenge, however, is to find and translate this wisdom in a way that’s simple and comprehensible in our modern context, while still maintaining its profundity.

    The book emphasizes a general introduction to probability theory and provides a detailed discussion of specific designs and analyses that are typically encountered in ecology and environmental science. Appropriate for use as either a stand-alone or supplementary text for upper-division undergraduate or graduate courses in ecological and environmental statistics, ecology, environmental science, environmental studies, or experimental design, the Primer also serves as a resource for environmental professionals who need to use and interpret statistics daily but have little or no formal training in the subject.

    Discovered by an 18th century mathematician and preacher, Bayes' rule is a cornerstone of modern probability theory. In this richly illustrated book, intuitive visual representations of real-world examples are used to show how Bayes' rule is actually a form of commonsense reasoning. The tutorial style of writing, combined with a comprehensive glossary, makes this an ideal primer for novices who wish to gain an intuitive understanding of Bayesian analysis. As an aid to understanding, online computer code (in MatLab, Python and R) reproduces key numerical results and diagrams.Stone's book is renowned for its visually engaging style of presentation, which stems from teaching Bayes' rule to psychology students for over 10 years as a university lecturer.