Since the publication of the First Edition over thirty years ago, Div, Grad, Curl, and All That has been widely renowned for its clear and concise coverage of vector calculus, helping science and engineering students gain a thorough understanding of gradient, curl, and Laplacian operators without required knowledge of advanced mathematics.

    His aim is to present calculus as the first real encounter with mathematics: it is the place to learn how logical reasoning combined with fundamental concepts can be developed into a rigorous mathematical theory rather than a bunch of tools and techniques learned by rote. Since analysis is a subject students traditionally find difficult to grasp, Spivak provides leisurely explanations, a profusion of examples, a wide range of exercises and plenty of illustrations in an easy-going approach that enlightens difficult concepts and rewards effort. Calculus will continue to be regarded as a modern classic, ideal for honours students and mathematics majors, who seek an alternative to doorstop textbooks on calculus, and the more formidable introductions to real analysis.

    Written expressly for "anyone who believes there are big questions out there, but does not know how to approach them," Think provides a sound framework for exploring the most basic themes of philosophy, and for understanding how major philosophers have tackled the questions that have pressed themselves most forcefully on human consciousness.

    It discusses new results, along with applications of probability theory to a variety of problems. The book contains many exercises and is suitable for use as a textbook on graduate-level courses involving data analysis. Aimed at readers already familiar with applied mathematics at an advanced undergraduate level or higher, it is of interest to scientists concerned with inference from incomplete information.

    The novel approach taken here banishes determinants to the end of the book and focuses on the central goal of linear algebra: understanding the structure of linear operators on vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. For example, the book presents - without having defined determinants - a clean proof that every linear operator on a finite-dimensional complex vector space (or an odd-dimensional real vector space) has an eigenvalue. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. This second edition includes a new section on orthogonal projections and minimization problems. The sections on self-adjoint operators, normal operators, and the spectral theorem have been rewritten. New examples and new exercises have been added, several proofs have been simplified, and hundreds of minor improvements have been made throughout the text.

    New to this third edition are expanded coverage of such important topics as surface boundary interfaces, improved discussions of such physical and mathematical laws as the Law of Biot and Savart and the Euler Momentum Integral. A very important new section on Computational Fluid Dynamics has been added for the very first time to this edition. Expanded and improved end-of-chapter problems will facilitate the teaching experience for students and instrutors alike. This book remains one of the most comprehensive and useful texts on fluid mechanics available today, with applications going from engineering to geophysics, and beyond to biology and general science. * Ample, useful end-of-chapter problems.* Excellent Coverage of Computational Fluid Dynamics.* Coverage of Turbulent Flows.* Solutions Manual available.

    From the very first attempts by the Greeks to grapple with the complexities of our known world to the latest application of infinity in physics, The Road to Reality carefully explores the movement of the smallest atomic particles and reaches into the vastness of intergalactic space. Here, Penrose examines the mathematical foundations of the physical universe, exposing the underlying beauty of physics and giving us one the most important works in modern science writing.

    Major retailers are predicting everything from when their customers are pregnant to when they want a new pair of Chuck Taylors. It's a brave new world where seemingly meaningless data can be transformed into valuable insight to drive smart business decisions.But how does one exactly do data science? Do you have to hire one of these priests of the dark arts, the "data scientist," to extract this gold from your data? Nope.Data science is little more than using straight-forward steps to process raw data into actionable insight. And in Data Smart, author and data scientist John Foreman will show you how that's done within the familiar environment of a spreadsheet. Why a spreadsheet? It's comfortable! You get to look at the data every step of the way, building confidence as you learn the tricks of the trade. Plus, spreadsheets are a vendor-neutral place to learn data science without the hype. But don't let the Excel sheets fool you. This is a book for those serious about learning the analytic techniques, the math and the magic, behind big data.Each chapter will cover a different technique in a spreadsheet so you can follow along: - Mathematical optimization, including non-linear programming and genetic algorithms- Clustering via k-means, spherical k-means, and graph modularity- Data mining in graphs, such as outlier detection- Supervised AI through logistic regression, ensemble models, and bag-of-words models- Forecasting, seasonal adjustments, and prediction intervals through monte carlo simulation- Moving from spreadsheets into the R programming languageYou get your hands dirty as you work alongside John through each technique. But never fear, the topics are readily applicable and the author laces humor throughout. You'll even learn what a dead squirrel has to do with optimization modeling, which you no doubt are dying to know.

    This edition retains the scope and emphasis that have made the book very successful while adding over twenty new numerical examples and over 550 new end-of-chapter problems.

    This and other developments will prompt utilities to undergo the largest changes in their history. Smart Power examines the many facets of this unprecedented transformation. This enlightening book begins with a look back on the deregulatory efforts of the 1990s and their gradual replacement by concerns over climate change, promoting new technologies, and developing stable prices and supplies. In thorough but non-technical terms it explains the revolutionary changes that the Smart Grid is bringing to utility operations. It also examines the options for low-carbon emissions along with the real-world challenges the industry and its regulators must face as the industry retools and finances its new sources and systems. Throughout the book, Peter Fox-Penner provides insights into the policy choices and regulatory reform needed to face these challenges. He not only weighs the costs and benefits of every option, but presents interviews with informed experts, including economists, utility CEOs, and engineers. He gives a brief history of the development of the current utility business model and examines possible new business models that are focused on energy efficiency.Smart Power explains every aspect of the coming energy revolution for utilities in lively prose that will captivate even the most techno-phobic readers.

    The text's major theme "Changes, Choices, and Constraints" explores: Contemporary "changes "in families and their structure Impacts on the "choices "that are available to family members ""Constraints ""that often limit our choices Through this approach, students are better able to understand what the research and statistics mean "for themselves"! Marriages and Families balances theoretical and empirical discussions with practical examples and applications. It highlights important contemporary changes in society and the family. This text is written from a sociological perspective and incorporates material from other disciplines: history, economics, social work, psychology, law, biology, medicine, family studies, women's studies, and anthropology. "More about the themes: " "Changes"Examines how recent profound structural and attitudinal changes affect family forms, interpersonal relationships, and raising children. It reaches beyond the traditional discussions to explore racial-ethnic families, single-parent families and gay families as well as the recent scholarship by and about men, fathers, and grandfathers. Contemporary American marriages and families vary greatly in structure, dynamics, and cultural heritage. Thus, discussions of gender roles, social class, race, ethnicity, age, and sexual orientation are integrated throughout this book. To further strengthen students understanding of the growing diversity among today's families, the author included a series of boxes that focus on families from many cultures. "Choices"On the individual level, family members have many more choices today than ever before. People feel freer to postpone marriage, to cohabit, or to raise children as single parents. As a result, household forms vary greatly, ranging from commuter marriages to those in which several generations live together under the same roof. "Constraints"Although family members choices are more varied today, we also face greater macro- level constraints. Our options are increasingly limited, for example, by government policies. Economic changes often shape family life and not vice versa. Political and legal institutions also have a major impact on most families in tax laws, welfare reform, and even in defining what a family is. Because laws, public policies, and religious groups affect our everyday lives, the author has framed many discussions of individual choices within the larger picture of the institutional constraints that limit our choices.To learn more about the new edition, click here to visit the showcase site.

    The goal of this book is to bring together quantum mechanics, the quantum theory of solids, semiconductor material physics, and semiconductor device physics in a clear and understandable way.

    Emphasizes the applications of theory, and contains new material on particle physics, electron-positron annihilation in solids and the Mossbauer effect. Includes new appendices on such topics as crystallography, Fourier Integral Description of a Wave Group, and Time-Independent Perturbation Theory.

    Nor do you need to be a great scientist to appreciate the exciting discoveries and intriguing mysteries of our universe. Dr. Robert piccioni brings the excitement of modern scientific discoveries to general audiences. He makes the key facts and concepts understandable without "dumbing" them down. He presents them in a friendly, conversational manner and includes many personal anecdotes about the people behind the science. With 33 images and over 100 graphics, this book explains the real science behind the headlines and sound bites. Learn all about:our universe: how big? how old? what came before?the big bang, black holes and supernovaequantum mechanics and uncertaintyhow the immense and the minute are connectedwhat is special about general relativityhow mankind can become earth's best friend

    The Eighth Edition has been thoroughly revised and updated and is available in both print and e-book formats.Janeway s Immunobiology continues to set the standard for currency and authority with its clear writing style and organization, uniform art program, and scientific accuracy. It presents a consistent point of view throughout that of the host s interaction with an environment containing many species of potentially harmful microorganisms. The full-color art program is conceptually coherent and illustrates the processes and mechanisms underlying the concepts in the text. The 16 chapters in this readable, accessible textbook are organized and presented in such a way as to help deliver a complete one-semester immunology course, beginning with innate immunity, then moving to adaptive immunity, and ending with applied clinical immunology.Discussion questions are provided at the end of Chapters 2 to 16. These questions can be used for review, or as the basis for discussion in class or in informal study groups. Summaries conclude each section and each chapter. As in previous editions, a caduceus icon in the margins indicates topics which are correlated to Case Studies in Immunology, Sixth Edition by Geha and Notarangelo.New in the Eighth EditionInnate immunity has been updated and expanded and is now presented in two separate chapters (Chapters 2 and 3), as well as being further emphasized in the rest of the textbook. Chapter 2 covers antimicrobial peptides and the complement system, and Chapter 3 deals with cellular innate receptors and cell-mediated innate immunity (e.g. TLRs, phagocytosis, NK cells, interferon production, innate-like lymphocytes). The section on complement has been reworked and reconceived explaining the lectin pathway first making it easier to teach by placing it into the context of innate recognition. Evolution is now incorporated throughout the text, helping students see similar strategies used by different organisms. The text and figures of Chapter 7 Signaling Through Immune System Receptors have been revised to present a cohesive synthesis of signaling for immunology, focusing on improved illustration of antigen recognition signaling and lymphocyte activation. Signaling through other receptors is dealt with wherever appropriate throughout the book. Updated chapter on B-cell immune responses (Chapter 10), especially on trafficking of B cells in peripheral lymphoid organs (e.g. lymph nodes) and the locations at which they encounter antigen. Coverage of mucosal immunity (Chapter 12) has been brought up to date, including responses to the commensal microbiota and the role of specialized dendritic cells and the regulatory T cells in maintaining tolerance to food antigens and commensal bacteria. Chapter 13, Failures of Host Defense Mechanisms, has been reorganized and revised to structure an understanding of primary immunodeficiencies in the context of developmental pathways. Chapter 16, Manipulation of the Immune Response, has been heavily revised to include a greater emphasis on clinical issues and a complete update of immunotherapeutics and vaccines. Many new and revised figures illustrate the processes and mechanisms underlying the concepts presented in the text. The icons used have been updated and expanded to incorporate a new emphasis on signaling pathways. New references have been added throughout the text.