The Fifth Edition of this leading text offers substantial training in vectors and matrices, vector analysis, and partial differential equations.... Vectors are introduced at the outset and serve at many points to indicate geometrical and physical significance of mathematical relations. Numerical methods are touched upon at various points, because of their practical value and the insights they give about theory.   Vectors and Matrices; Differential Calculus of Functions of Several Variables; Vector Differential Calculus; Integral Calculus of Functions of Several Variables; Vector Integral Calculus; Two-Dimensional Theory; Three-Dimensional Theory and Applications; Infinite Series; Fourier Series and Orthogonal Functions; Functions of a Complex Variable; Ordinary Differential Equations; Partial Differential Equations   For all readers interested in advanced calculus.

Introduces analysis, presenting analytical proofs backed by geometric intuition and placing minimum reliance on geometric argument. This edition... separates continuity and differentiation and expands coverage of integration to include discontinuous functions. The discussion of differentiation of a vector function of a vector variable has been modernized by defining the derivative to be the Jacobian matrix; and, the general form of the chain rule is given, as is the general form of the implicit transformation theorem.

A course in analysis dealing essentially with functions of a real variable, this text for upper-level undergraduate students introduces the basic... concepts in their simplest setting and proceeds with numerous examples, theorems stated in a practical manner, and coherently expressed proofs. 1955 edition.

Features an introduction to advanced calculus and highlights its inherent concepts from linear algebraAdvanced Calculus reflects the unifying role of... linear algebra in an effort to smooth readers' transition to advanced mathematics. The book fosters the development of complete theorem-proving skills through abundant exercises while also promoting a sound approach to the study. The traditional theorems of elementary differential and integral calculus are rigorously established, presenting the foundations of calculus in a way that reorients thinking toward modern analysis.Following an introduction dedicated to writing proofs, the book is divided into three parts:Part One explores foundational one-variable calculus topics from the viewpoint of linear spaces, norms, completeness, and linear functionals.Part Two covers Fourier series and Stieltjes integration, which are advanced one-variable topics.Part Three is dedicated to multivariable advanced calculus, including inverse and implicit function theorems and Jacobian theorems for multiple integrals.Numerous exercises guide readers through the creation of their own proofs, and they also put newly learned methods into practice. In addition, a "Test Yourself" section at the end of each chapter consists of short questions that reinforce the understanding of basic concepts and theorems. The answers to these questions and other selected exercises can be found at the end of the book along with an appendix that outlines key terms and symbols from set theory.Guiding readers from the study of the topology of the real line to the beginning theorems and concepts of graduate analysis, Advanced Calculus is an ideal text for courses in advanced calculus and introductory analysis at the upper-undergraduate and beginning-graduate levels. It also serves as a valuable reference for engineers, scientists, and mathematicians.

Intended for students who have already completed a one-year course in elementary calculus, this rigorous two-part treatment advances from functions of... one variable to those of several variables. Topics include differentiation, multiple integrals, and line and surface integrals. Complete solutions to all problems appear at the end. 1971 edition.

Advanced Calculus For Applications integrates a number of key topics, developed from a basis of elementary calculus, that are of practical significance... in a variety of fields of application. The author's principal objective - in both the first and second editions - has been to provide his reader with "an intelligent working knowledge of a substantial number of useful mathematical methods, together with an appropriate awareness of the foundations, interrelations, and limitations of these methods. Contents include well-organized and clearly written chapters on such topics as ordinary differential equations, the Laplace transform, numerical methods for solving ordinary differential equations, series solutions of differential equations (and special functions), boundary-value problems and characteristic-function representations, vector analysis, topics in higher-dimension calculus, partial differential equations, solutions of partial differential equations of mathematical physics, functions of a complex variable, and a new chapter devoted to applications of analytic function theory. This chapter consolidates treatments of Laplace transform inversion, conformal mapping and its applications, and properties and uses of Green's functions. Unusually extensive sets of problems and exercises of widely varying types are provided, with solutions either included in the formulations or listed at the end of the book.

Modern conceptual treatment of multivariable calculus, emphasizing the interplay of geometry and analysis via linear algebra and the approximation of... nonlinear mappings by linear ones. At the same time, ample attention is paid to the classical applications and computational methods. Hundreds of examples, problems and figures. 1973 edition.

Advanced Calculus is intended as a text for courses that furnish the backbone of the student's undergraduate education in mathematical analysis. The... goal is to rigorously present the fundamental concepts within the context of illuminating examples and stimulating exercises. This book is self-contained and starts with the creation of basic tools using the completeness axiom. The continuity, differentiability, integrability, and power series representation properties of functions of a single variable are established. The next few chapters describe the topological and metric properties of Euclidean space. These are the basis of a rigorous treatment of differential calculus (including the Implicit Function Theorem and Lagrange Multipliers) for mappings between Euclidean spaces and integration for functions of several real variables. Special attention has been paid to the motivation for proofs. Selected topics, such as the Picard Existence Theorem for differential equations, have been included in such a way that selections may be made while preserving a fluid presentation of the essential material. Supplemented with numerous exercises, Advanced Calculus is a perfect book for undergraduate students of analysis.

Designed to help motivate the learning of advanced calculus by demonstrating its relevance in the field of statistics, this successful text features... detailed coverage of optimization techniques and their applications in statistics while introducing the reader to approximation theory. The Second Edition provides substantial new coverage of the material, including three new chapters and a large appendix that contains solutions to almost all of the exercises in the book. Applications of some of these methods in statistics are discusses. 

Written for students and professionals working within exercise science and related health professions, Advanced Cardiovascular Exercise Physiology... systematically details the effect of acute and chronic exercise training on each component of the cardiovascular system: the heart, the vasculature, and the blood (including blood clotting factors). Readers will gain a comprehensive understanding of the cardiovascular system and learn how to apply this knowledge to their work with athletes, other active individuals, and patients who have cardiovascular risk factors. Advanced Cardiovascular Exercise Physiology highlights the complex interaction of the components of the cardiovascular system both at rest and during exercise. Using the latest scientific and medical research, this text presents engaging discussion of cardiovascular responses and adaptions to both acute and chronic aerobic and resistance exercise training. In addition, specific attention is paid to the beneficial effects of exercise on the components of the cardiovascular system and the mechanisms through which regular exercise provides cardioprotection. Each chapter contains a summary to highlight key content, important terms bolded within the text for quick reference, and a key terms section at the end of each chapter defining all the bolded terms. In addition, sidebars within each chapter describe real-world examples and applications. Richly illustrated, Advanced Cardiovascular Exercise Physiology uses extensive figures and graphics to elucidate physiological mechanisms and to depict exercise responses and training adaptations. This text is divided into two sections, beginning with a concise explanation of the structure and function of each component of the cardiovascular system. In the second section, readers encounter detailed discussion of the acute and chronic effects of aerobic and resistance exercise on cardiac function, vascular function, and hemostatic variables. Advanced Cardiovascular Exercise Physiology provides a framework for understanding how the components of the cardiovascular system cooperate to support exercise and how those components adapt to and benefit from a systematic program of exercise training. By presenting current research that elucidates the specific effects and benefits of exercise on the cardiovascular system, Advanced Cardiovascular Exercise Physiology also offers readers possible future directions for research. Human Kinetics’ Advanced Exercise Physiology series offers books for advanced undergraduate and graduate students as well as professionals in exercise science and kinesiology. These books highlight the complex interaction of the various systems both at rest and during exercise. Each text in this series offers a concise explanation of the system and details how each is affected by acute exercise and chronic exercise training. Advanced Cardiovascular Exercise Physiology is the second volume in the series.

Advanced Case Management: Outcomes and Beyond, is a theoretical, research-oriented, and statistical publication providing comprehensive coverage of... advanced case management information. Essential topics presented in this text include outcomes management, disease management, continuous quality improvement (CQI), and complementary medicine practices. Building on Case Management: A Practical Guide to Success in Managed Care, Second Edition, this book explores population-based case management and its components. Part I comprehensively covers disease management concepts and development of a successful disease management program. Part II focuses on the latest trends in outcomes management. Topics covered include how to develop an outcomes management program, the Center for Case Management Accountability (CCMA), benchmarking, and factors affecting case management outcomes. Part III deals with continuous quality improvement (CQI) and proper use of CQI tools. Finally, Part IV, Managing Complementary Health Care--A Vision for the Future, addresses the challenges and the successes of Complementary and Alternative Medicine (CAM) practices.

A comprehensive manual that covers the technical information used by studio potters that is concise, precise, and easy to read covering advice,... techniques, procedures, and data with charts, formulas, lists, equivalents, how-to-do-it procedures, and historic studies. No longer is it necessary to consult 15 to 20 different books for ceramic references. All the clays, feldspars, colorants, fluxes, stains, frits, and other ceramic minerals are now listed in one source. This book deals with history, contemporary ceramics, clays, engobes, glaze technology, firing, kilns, health and safety, recipes, materials, weights and measures, dealers and manufacturers. It has 120 photographs of historic and contemporary ceramics, 272 ceramic formulas, and 55 ceramic charts, graphs, cataloging, and lists.

When learning to visualize 3-D molecular structures, isomerism, and nomenclature, these models are essential. This Advanced General and Organic... Chemistry Molecular Model set has 180 components including 5 VSEPR models (linear, trigonal planar, tetrahedral, trigonal bipyramidal, and octahedral) and 1 square planar model for building complex ions. This model set has both flexible and rigid links which represent covalent bonds. The flexible links allow you to create single, double, and triple bonds. Rigid bonds allow for easy transformation between "boat" and "chair" conformations of cyclohexane. The bond lengths are scaled for accuracy. The instructions and pictures show you how to assemble the atom models.
List of Parts:
36 WHITE HYDROGEN,
15 BLACK CARBON, 8 RED OXYGEN,
6 GREEN CHLORINE,
6 YELLOW FLUORINE,
6 ORANGE BROMINE,
6 PURPLE IODINE,
4 BLUE NITROGEN WITH 3 VALENCE, 1 BLUE NITROGEN WITH 4 VALENCE,
2 YELLOW SULFUR,
2 GREEN PHOSPHORUS,
1 RED OXYGEN WITH 4 VALENCE,
1 SILVER ALKALI METAL,
1 SILVER ATOM - LINEAR,
1 SILVER ATOM - PLANAR TRIANGULAR,
1 SILVER ATOM - TETRAHEDRAL,
1 SILVER ATOM - TRIGONAL BIPYRAMIDAL,
1 SILVER ATOM - OCTAHEDRAL,
1 SILVER ATOM - SQUARE PLANAR, 36 GRAY LINKS FOR HYDROGEN SINGLE BONDS, 16 GRAY LINKS FOR SINGLE BONDS, 14 BLACK LINKS FOR CARBON-CARBON SINGLE BONDS, 14 GRAY LINKS FOR DOUBLE AND TRIPLE BONDS. The clear case has two snap closures which prevents spills. The case is divided into eight compartments to keep the atom models and bonds conveniently sorted. 21x11x3.5cm