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.

    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.

    This popular Blueprints book has been refined and updated while keeping the concise, organized style and clinical high-yield content of previous editions. Features include USMLE-style questions and answers with full explanations; Key Points in every section; and a color-enhanced design that increases the usefulness of figures and tables.This edition's completely revised art program includes many additional illustrations. Each chapter in this edition ends with evidence-based references (journals) for students to do additional reading/research.

    It provides in-depth commentary on educational history, philosophy, and governance, while giving special attention to current critical topics such as the changing federal role in educational finance.

    Drawing heavily on the author's own real-world experiences, the book stresses design and analysis. Coverage is divided into two parts, the first being a general guide to techniques for the design and analysis of computer algorithms. The second is a reference section, which includes a catalog of the 75 most important algorithmic problems. By browsing this catalog, readers can quickly identify what the problem they have encountered is called, what is known about it, and how they should proceed if they need to solve it. This book is ideal for the working professional who uses algorithms on a daily basis and has need for a handy reference. This work can also readily be used in an upper-division course or as a student reference guide. THE ALGORITHM DESIGN MANUAL comes with a CD-ROM that contains: * a complete hypertext version of the full printed book. * the source code and URLs for all cited implementations. * over 30 hours of audio lectures on the design and analysis of algorithms are provided, all keyed to on-line lecture notes.

    Shows how any proof can be understood as a sequence of techniques. Covers the full range of techniques used in proofs, such as the contrapositive, induction, and proof by contradiction. Explains how to identify which techniques are used and how they are applied in the specific problem. Illustrates how to read written proofs with many step-by-step examples. Includes new, expanded appendices related to discrete mathematics, linear algebra, modern algebra and real analysis.

    

    Includes many examples and figures. GENERAL TOPOLOGY. Set Theory and Logic. Topological Spaces and Continuous Functions. Connectedness and Compactness. Countability and Separation Axioms. The Tychonoff Theorem. Metrization Theorems and paracompactness. Complete Metric Spaces and Function Spaces. Baire Spaces and Dimension Theory. ALGEBRAIC TOPOLOGY. The Fundamental Group. Separation Theorems. The Seifert-van Kampen Theorem. Classification of Surfaces. Classification of Covering Spaces. Applications to Group Theory. For anyone needing a basic, thorough, introduction to general and algebraic topology and its applications.

    The Official Cambridge Guide To Ielts Student's Book With Answers With Dvd Rom

    The first chapter describes basic features of the program and shows how to use it in simple arithmetic operations with scalars. The next two chapters focus on the topic of arrays (the basis of MATLAB), while the remaining text covers a wide range of other applications. Computer screens, tutorials, samples, and homework questions in math, science, and engineering, provide the student with the practical hands-on experience needed for total proficiency.

    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.

    Focused on helping students understand and construct proofs and expanding their mathematical maturity, this best-selling text is an accessible introduction to discrete mathematics. Johnsonbaugh's algorithmic approach emphasizes problem-solving techniques. The Seventh Edition reflects user and reviewer feedback on both content and organization.

    Problems are designed to progressively enhance MATLAB-use proficiency, so students need not be familiar with MATLAB at the start of your course. Program scripts that are answers to exercises in the text are available at no charge in electronic form (see Teaching Resources below). *Supplement and Review Mini-Chapters after each of the text's three parts contain an extensive review list of terms, test-like problem sets with answers, and detailed suggestions on supplemental reading to reinforce students' learning and help them prepare for exams. *Read-Only Chapters, strategically placed to provide a change of pace during the course, provide informative, yet enjoyable reading for students. *Measurement Details and Results samples offer students a realistic perspective on the seldom-perfect nature of device characteristics, contrary to the way they are often represented in introductory texts. Content Highlig

    This well-written book is grounded in the reality of teaching today to show real-world teachers who want to use assessment in their classroom the latest tools necessary to teach more effectively. The fifth edition of Classroom Assessment addresses the range of assessments that teachers are likely to use in their classrooms. With expanded coverage of problems related to measurement of special education children, a new student website with online activities, and an improved instructor's manual, this book continues to be a cutting-edge and indispensable resource not only for instructors, but also for pre- and in-service teachers. New to This Edition: *Chapter 12 contains new material dealing with formative assessment as well as assessment FOR learning. *The text is committed to fostering readers' realizations regarding the critical link between testing and teaching. Instructional implications are constantly stressed in the text. early childhood assessment throughout the text. *The 5th edition contains a brand-new website providing readers with Extra Electronic Exercises for each chapter, so readers, if they wish, can solidify their understanding of what chapters address (go to www.ablongman.com/popham5e). *A newly revised Instructor's Resource Manual contains Instructor-to-Instructor suggestions as well as a test for each chapter. It also includes a mid-term and final exam and an effective inventory measuring students' confidence in assessment. Here's what your colleagues have to say about this book: Dr. Popham has done a tremendous job in researching and incorporating current trends throughout the entire text! Terry H. Stepka, Arkansas State University Overall, I am extremely satisfied with the text. It is well-written, and I love the author's sense of humor! Terry H. Stepka, Arkansas State University I LOVE the arrangement of the chapters and the high quality of the self-checks and discussion questions that are provided. Karen E. Eifler, University of Portland

    The authors' experiential learning approach makes it easy to put these skills into practice in any health care setting. This book helps students develop the critical thinking ability needed to apply skills on the job—from organizing patient care to motivating staff to managing conflict.