Combinatorial Reasoning. An Introduction to the Art of Counting

An easy-to-read presentation of the early history of mathematics Engaging and accessible, An Introduction to the Early Development of Mathematics provides a captivating introduction to the history of ancient mathematics in early civilizations for a nontechnical audience. Written with practical applications in a variety of areas, the book utilizes the historical context of mathematics as a pedagogical tool to assist readers working through mathematical and historical topics. The book is divided into sections on significant early civilizations including Egypt, Babylonia, China, Greece, India, and the Islamic world. Beginning each chapter with a general historical overview of the civilized area, the author highlights the civilization’s mathematical techniques, number representations, accomplishments, challenges, and contributions to the mathematical world. Thoroughly class-tested, An Introduction to the Early Development of Mathematics features: Challenging exercises that lead readers to a deeper understanding of mathematics Numerous relevant examples and problem sets with detailed explanations of the processes and solutions at the end of each chapter Additional references on specific topics and keywords from history, archeology, religion, culture, and mathematics Examples of practical applications with step-by-step explanations of the mathematical concepts and equations through the lens of early mathematical problems A companion website that includes additional exercises An Introduction to the Early Development of Mathematics is an ideal textbook for undergraduate courses on the history of mathematics and a supplement for elementary and secondary education majors. The book is also an appropriate reference for professional and trade audiences interested in the history of mathematics. Michael K. J. Goodman is Adjunct Mathematics Instructor at Westchester Community College, where he teaches courses in the history of mathematics, contemporary mathematics, and algebra. He is also the owner and operator of The Learning Miracle, LLC, which provides academic tutoring and test preparation for both college and high school students.

This book gives an introduction to the bond markets for practitioners and new entrants who need to understand what they are, how they work and how they can be used, but do not want to be intimidated by mathematical formulae. By the end of the book readers will be able to decide whether to invest in the bond market. The mathematical formulae will be relegated to the appendices and supplemented by a companion website which allows users to enter their own bond market investments, to simulate anticipated events and see the results. Patrick Brown is well-known as Chairman of the European Bond commission (recently retired) The only bond book that does not rely heavily on mathematical formulae

What do we mean by the tropics? The weather and the climates it produces across the tropical zone are significantly different from those experienced by the people living in higher latitudes, so forecasters across Europe and much of North America are unfamiliar with its effects. In this book, Jim Galvin demystifies the topic in this zone that is increasingly of interest to those studying weather and climate. This book was written for weather forecasters, meteorology, environmental science and geography students as an introductory guide. It builds on the experience of the author, his professional experience in the World Area Forecast Centre at the Met Office, Exeter, using studies into the weather and climate seen within the tropical air mass conducted over many years. Its unique approach presents a practical approach to tropical weather studies, drawing on both academic and practical knowledge, covering air mass dynamics, seasonal changes, moist and dry weather, climate variability and human health in chapters and appendices that build up the overall picture, summarising our current state of knowledge. As an overview, it covers the broad range of effects connected with climate and weather in a straightforward way and is clearly illustrated throughout.

This comprehensive, introductory textbook is unique in exploring the emergence of the Hebrew Bible in the broader context of world history. It particularly focuses on the influence of pre-Roman empires, empowering students with a richer understanding of Old Testament historiography. Provides a historical context for students learning about the development and changing interpretations of biblical texts Examines how these early stories were variously shaped by interaction with the Mesopotamian and Egyptian, Assyrian, Babylonian, Persian, and Hellenistic empires Incorporates recent research on the formation of the Pentateuch Reveals how key biblical texts came to be interpreted by Jewish, Christian, and Muslim faiths Includes numerous student-friendly features, such as study questions, review sections, bibliographies, timelines, and illustrations and photos

This new textbook is a lively and highly accessible introduction to philosophy. From the fundamental issues of philosophical thought to the latest theories in the philosophy of mind, An Introduction to Philosophy provides clear and incisive discussion of the key areas of philosophy for students new to the subject. Provides the tools new students need to tackle philosophical arguments themselves Clearly presents and explains contemporary issues and current debates Covers the key areas of philosophy, including perception, epistemology, metaphysics, the mind, philosophy of religion, ethics and political philosophy Contains numerous learning features such as introductions, summaries, questions and further reading An Introduction to Philosophy is an ideal text for AS level, A level and first-year undergraduate students or anyone studying the subject for the first time.

An Introduction to Ministry is a comprehensive and ecumenical introduction to the craft of ministry for ministers, pastors, and priests that make up the mainline denominations in the United States. Ecumenically-focused, It offers a grounded account of ministry, covering areas such as vocation, congregational leadership, and cultivation of skills for an effective ministry. Covers the key components of the M.Div. curriculum, offering a map and guide to the central skills and issues in training Explores the areas of vocation, skills for ministry, and issues around congregational leadership Each topic ends with an annotated bibliography providing an indispensable gateway to further study Helps students understand both the distinctive approach of their denomination and the relationship of that approach to other mainline denominations Advocates and defends a generous understanding of the Christian tradition in its openness and commitment to broad conversation

A modern, up-to-date introduction to optimization theory and methods This authoritative book serves as an introductory text to optimization at the senior undergraduate and beginning graduate levels. With consistently accessible and elementary treatment of all topics, An Introduction to Optimization, Second Edition helps students build a solid working knowledge of the field, including unconstrained optimization, linear programming, and constrained optimization. Supplemented with more than one hundred tables and illustrations, an extensive bibliography, and numerous worked examples to illustrate both theory and algorithms, this book also provides: * A review of the required mathematical background material * A mathematical discussion at a level accessible to MBA and business students * A treatment of both linear and nonlinear programming * An introduction to recent developments, including neural networks, genetic algorithms, and interior-point methods * A chapter on the use of descent algorithms for the training of feedforward neural networks * Exercise problems after every chapter, many new to this edition * MATLAB(r) exercises and examples * Accompanying Instructor's Solutions Manual available on request An Introduction to Optimization, Second Edition helps students prepare for the advanced topics and technological developments that lie ahead. It is also a useful book for researchers and professionals in mathematics, electrical engineering, economics, statistics, and business. An Instructor's Manual presenting detailed solutions to all the problems in the book is available from the Wiley editorial department.

Freshly updated for this second edition with considerable new material, this authoritative introduction to the history of Christian theology covers its development from the beginnings of the Patristic period just decades after Jesus's ministry, through to contemporary theological trends. A substantially updated new edition of this popular textbook exploring the entire history of Christian thought, written by the bestselling author and internationally-renowned theologian Features additional coverage of orthodox theology, the Holy Spirit, and medieval mysticism, alongside new sections on liberation, feminist, and Latino theologies, and on the global spread of Christianity Accessibly structured into four sections covering the Patristic period, the Middle Ages and Renaissance, the reformation and post-reformation eras, and the modern period spanning 1750 to the present day, addressing the key issues and people in each Includes case studies and primary readings at the end of each section, alongside comprehensive glossaries of key theologians, developments, and terminology Supported by additional resources available on publication at www.wiley.com/go/mcgrath

Praise from the Second Edition «…an excellent introduction to optimization theory…» (Journal of Mathematical Psychology, 2002) «A textbook for a one-semester course on optimization theory and methods at the senior undergraduate or beginning graduate level.» (SciTech Book News, Vol. 26, No. 2, June 2002) Explore the latest applications of optimization theory and methods Optimization is central to any problem involving decision making in many disciplines, such as engineering, mathematics, statistics, economics, and computer science. Now, more than ever, it is increasingly vital to have a firm grasp of the topic due to the rapid progress in computer technology, including the development and availability of user-friendly software, high-speed and parallel processors, and networks. Fully updated to reflect modern developments in the field, An Introduction to Optimization, Third Edition fills the need for an accessible, yet rigorous, introduction to optimization theory and methods. The book begins with a review of basic definitions and notations and also provides the related fundamental background of linear algebra, geometry, and calculus. With this foundation, the authors explore the essential topics of unconstrained optimization problems, linear programming problems, and nonlinear constrained optimization. An optimization perspective on global search methods is featured and includes discussions on genetic algorithms, particle swarm optimization, and the simulated annealing algorithm. In addition, the book includes an elementary introduction to artificial neural networks, convex optimization, and multi-objective optimization, all of which are of tremendous interest to students, researchers, and practitioners. Additional features of the Third Edition include: New discussions of semidefinite programming and Lagrangian algorithms A new chapter on global search methods A new chapter on multipleobjective optimization New and modified examples and exercises in each chapter as well as an updated bibliography containing new references An updated Instructor's Manual with fully worked-out solutions to the exercises Numerous diagrams and figures found throughout the text complement the written presentation of key concepts, and each chapter is followed by MATLAB exercises and drill problems that reinforce the discussed theory and algorithms. With innovative coverage and a straightforward approach, An Introduction to Optimization, Third Edition is an excellent book for courses in optimization theory and methods at the upper-undergraduate and graduate levels. It also serves as a useful, self-contained reference for researchers and professionals in a wide array of fields.

The Sounds of Language is an introductory guide to the linguistic study of speech sounds, which provides uniquely balanced coverage of both phonology and phonetics. Features exercises and problem sets, as well as supporting online resources at www.wiley.com/go/zsiga, including additional discussion questions and exercises, as well as links to further resources such as sound files, video files, and useful websites Creates opportunities for students to practice data analysis and hypothesis testing Integrates data on sociolinguistic variation, first language acquisition, and second language learning Explores diverse topics ranging from the practical, such as how to make good digital recordings, make a palatogram, solve a phoneme/allophone problem, or read a spectrogram; to the theoretical, including the role of markedness in linguistic theory, the necessity of abstraction, features and formal notation, issues in speech perception as distinct from hearing, and modelling sociolinguistic and other variations Organized specifically to fit the needs of undergraduate students of phonetics and phonology, and is structured in a way which enables instructors to use the text both for a single semester phonetics and phonology course or for a two-course sequence