Early Transcendentals

Author: James Stewart

Publisher: Cengage Learning EMEA

ISBN: 9780495382737

Category: Calculus

Page: 1280

View: 4506


Success in your calculus course starts here! James Stewart's CALCULUS texts are world-wide best-sellers for a reason: they are clear, accurate, and filled with relevant, real-world examples. With CALCULUS: EARLY TRANCENDENTALS, Metric Sixth Edition, Stewart conveys not only the utility of calculus to help you develop technical competence, but also gives you an appreciation for the intrinsic beauty of the subject. His patient examples and built-in learning aids will help you build your mathematical confidence and achieve your goals in the course!

A Course in Analysis

Vol. II: Differentiation and Integration of Functions of Several Variables, Vector Calculus

Author: Niels Jacob,Kristian P Evans

Publisher: World Scientific Publishing Company

ISBN: 9813140984

Category: Mathematics

Page: 788

View: 7863


This is the second volume of "A Course in Analysis" and it is devoted to the study of mappings between subsets of Euclidean spaces. The metric, hence the topological structure is discussed as well as the continuity of mappings. This is followed by introducing partial derivatives of real-valued functions and the differential of mappings. Many chapters deal with applications, in particular to geometry (parametric curves and surfaces, convexity), but topics such as extreme values and Lagrange multipliers, or curvilinear coordinates are considered too. On the more abstract side results such as the Stone–Weierstrass theorem or the Arzela–Ascoli theorem are proved in detail. The first part ends with a rigorous treatment of line integrals. The second part handles iterated and volume integrals for real-valued functions. Here we develop the Riemann (–Darboux–Jordan) theory. A whole chapter is devoted to boundaries and Jordan measurability of domains. We also handle in detail improper integrals and give some of their applications. The final part of this volume takes up a first discussion of vector calculus. Here we present a working mathematician's version of Green's, Gauss' and Stokes' theorem. Again some emphasis is given to applications, for example to the study of partial differential equations. At the same time we prepare the student to understand why these theorems and related objects such as surface integrals demand a much more advanced theory which we will develop in later volumes. This volume offers more than 260 problems solved in complete detail which should be of great benefit to every serious student.

Handbook of Toxicology, Second Edition

Author: Michael J. Derelanko,Mannfred A. Hollinger

Publisher: CRC Press

ISBN: 9780849303708

Category: Medical

Page: 1440

View: 8316


LOCATE FREQUENTLY USED INFORMATION EASILY AND QUICKLY Working in the laboratory or office, you use a diverse assortment of basic information to design, conduct, and interpret toxicology studies and to perform risk assessments. The Second Edition of the best-selling Handbook of Toxicology gives you the information you need in a single reference source. NEW IN THIS EDITION: Expanded coverage of inhalation toxicology, neurotoxicology, and histopathology Additional regulatory chapters dealing with pesticides, medical devices, consumer products, and world-wide notification of new chemicals Areas of toxicology missing from the first edition such as ecotoxicology and in vitro toxicology A chapter providing extensive overview of the toxicology of metals Two chapters on basic male and female endocrinology and related toxicology Information on differences in physiological and biochemical parameters between children and adults References to Web site sources of valuable information Over 200 new tables and figures THE SINGLE SOURCE FOR THE INFORMATION YOU USE MOST FREQUENTLY Updated and expanded, this unique book includes practical reference information useful to toxicologists in the chemical and pharmaceutical industries, contract laboratories, regulatory agencies, and academia. To help you find information quickly and easily, data is arranged by toxicology subspecialty and each chapter begins with a detailed listing of information presented. Containing over 700 tables and figures, Handbook of Toxicology, Second Edition gives you a single source for the information you use most often.

Advanced Calculus of a Single Variable

Author: Tunc Geveci

Publisher: Springer

ISBN: 331927807X

Category: Mathematics

Page: 382

View: 3963


This advanced undergraduate textbook is based on a one-semester course on single variable calculus that the author has been teaching at San Diego State University for many years. The aim of this classroom-tested book is to deliver a rigorous discussion of the concepts and theorems that are dealt with informally in the first two semesters of a beginning calculus course. As such, students are expected to gain a deeper understanding of the fundamental concepts of calculus, such as limits (with an emphasis on ε-δ definitions), continuity (including an appreciation of the difference between mere pointwise and uniform continuity), the derivative (with rigorous proofs of various versions of L’Hôpital’s rule) and the Riemann integral (discussing improper integrals in-depth, including the comparison and Dirichlet tests). Success in this course is expected to prepare students for more advanced courses in real and complex analysis and this book will help to accomplish this. The first semester of advanced calculus can be followed by a rigorous course in multivariable calculus and an introductory real analysis course that treats the Lebesgue integral and metric spaces, with special emphasis on Banach and Hilbert spaces.

Essential Real Analysis

Author: Michael Field

Publisher: Springer

ISBN: 331967546X

Category: Mathematics

Page: 450

View: 4567


This book provides a rigorous introduction to the techniques and results of real analysis, metric spaces and multivariate differentiation, suitable for undergraduate courses. Starting from the very foundations of analysis, it offers a complete first course in real analysis, including topics rarely found in such detail in an undergraduate textbook such as the construction of non-analytic smooth functions, applications of the Euler-Maclaurin formula to estimates, and fractal geometry. Drawing on the author’s extensive teaching and research experience, the exposition is guided by carefully chosen examples and counter-examples, with the emphasis placed on the key ideas underlying the theory. Much of the content is informed by its applicability: Fourier analysis is developed to the point where it can be rigorously applied to partial differential equations or computation, and the theory of metric spaces includes applications to ordinary differential equations and fractals. Essential Real Analysis will appeal to students in pure and applied mathematics, as well as scientists looking to acquire a firm footing in mathematical analysis. Numerous exercises of varying difficulty, including some suitable for group work or class discussion, make this book suitable for self-study as well as lecture courses.