The Way of Analysis

The Way of Analysis PDF Author: Robert S. Strichartz
Publisher: Jones & Bartlett Learning
ISBN: 9780763714970
Category : Computers
Languages : en
Pages : 764

Book Description
The Way of Analysis gives a thorough account of real analysis in one or several variables, from the construction of the real number system to an introduction of the Lebesgue integral. The text provides proofs of all main results, as well as motivations, examples, applications, exercises, and formal chapter summaries. Additionally, there are three chapters on application of analysis, ordinary differential equations, Fourier series, and curves and surfaces to show how the techniques of analysis are used in concrete settings.

Complex Analysis for Mathematics and Engineering

Complex Analysis for Mathematics and Engineering PDF Author: John Mathews
Publisher: Jones & Bartlett Publishers
ISBN: 1449604455
Category : Mathematics
Languages : en
Pages : 663

Book Description
Intended for the undergraduate student majoring in mathematics, physics or engineering, the Sixth Edition of Complex Analysis for Mathematics and Engineering continues to provide a comprehensive, student-friendly presentation of this interesting area of mathematics. The authors strike a balance between the pure and applied aspects of the subject, and present concepts in a clear writing style that is appropriate for students at the junior/senior level. Through its thorough, accessible presentation and numerous applications, the sixth edition of this classic text allows students to work through even the most difficult proofs with ease. New exercise sets help students test their understanding of the material at hand and assess their progress through the course. Additional Mathematica and Maple exercises, as well as a student study guide are also available online.

An Introduction to Analysis

An Introduction to Analysis PDF Author: Gerald Bilodeau
Publisher: Jones & Bartlett Learning
ISBN: 0763774928
Category : Mathematics
Languages : en
Pages : 350

Book Description
This book presents a concise and sharpley focused introduction to the basic concepts of analysis - from the development of real numbers through uniform convergences of a sequence of functions - and includes coverage both of the analysis of functions of more than one variable and of differential equations. Examples and figures are used extensively to assist the reader in understanding the concepts and then applying them.

A First Course in Complex Analysis with Applications

A First Course in Complex Analysis with Applications PDF Author: Dennis Zill
Publisher: Jones & Bartlett Learning
ISBN: 0763757721
Category : Mathematics
Languages : en
Pages : 471

Book Description
The new Second Edition of A First Course in Complex Analysis with Applications is a truly accessible introduction to the fundamental principles and applications of complex analysis. Designed for the undergraduate student with a calculus background but no prior experience with complex variables, this text discusses theory of the most relevant mathematical topics in a student-friendly manor. With Zill's clear and straightforward writing style, concepts are introduced through numerous examples and clear illustrations. Students are guided and supported through numerous proofs providing them with a higher level of mathematical insight and maturity. Each chapter contains a separate section on the applications of complex variables, providing students with the opportunity to develop a practical and clear understanding of complex analysis.

Basic Real Analysis

Basic Real Analysis PDF Author: James Howland
Publisher: Jones & Bartlett Learning
ISBN: 0763773182
Category : Mathematics
Languages : en
Pages : 233

Book Description
Ideal for the one-semester undergraduate course, Basic Real Analysis is intended for students who have recently completed a traditional calculus course and proves the basic theorems of Single Variable Calculus in a simple and accessible manner. It gradually builds upon key material as to not overwhelm students beginning the course and becomes more rigorous as they progresses. Optional appendices on sets and functions, countable and uncountable sets, and point set topology are included for those instructors who wish include these topics in their course. The author includes hints throughout the text to help students solve challenging problems. An online instructor's solutions manual is also available.

Elements of Real Analysis

Elements of Real Analysis PDF Author: Charles Denlinger
Publisher: Jones & Bartlett Learning
ISBN: 0763779474
Category : Mathematics
Languages : en
Pages : 769

Book Description
A student-friendly guide to learning all the important ideas of elementary real analysis, this resource is based on the author's many years of experience teaching the subject to typical undergraduate mathematics majors.

Elements of Real Analysis

Elements of Real Analysis PDF Author: Charles G. Denlinger
Publisher: Jones & Bartlett Publishers
ISBN: 1449659934
Category : Mathematics
Languages : en
Pages : 739

Book Description
Elementary Real Analysis is a core course in nearly all mathematics departments throughout the world. It enables students to develop a deep understanding of the key concepts of calculus from a mature perspective. Elements of Real Analysis is a student-friendly guide to learning all the important ideas of elementary real analysis, based on the author's many years of experience teaching the subject to typical undergraduate mathematics majors. It avoids the compact style of professional mathematics writing, in favor of a style that feels more comfortable to students encountering the subject for the first time. It presents topics in ways that are most easily understood, yet does not sacrifice rigor or coverage. In using this book, students discover that real analysis is completely deducible from the axioms of the real number system. They learn the powerful techniques of limits of sequences as the primary entry to the concepts of analysis, and see the ubiquitous role sequences play in virtually all later topics. They become comfortable with topological ideas, and see how these concepts help unify the subject. Students encounter many interesting examples, including "pathological" ones, that motivate the subject and help fix the concepts. They develop a unified understanding of limits, continuity, differentiability, Riemann integrability, and infinite series of numbers and functions.

Clinical Statistics: Introducing Clinical Trials, Survival Analysis, and Longitudinal Data Analysis

Clinical Statistics: Introducing Clinical Trials, Survival Analysis, and Longitudinal Data Analysis PDF Author: Olga Korosteleva
Publisher: Jones & Bartlett Learning
ISBN: 0763758507
Category : Mathematics
Languages : en
Pages : 129

Book Description
Clinical Statistics: Introducing Clinical Trials, Survival Analysis, and Longitudinal Data Analysis provides the mathematic background necessary for students preparing for a career as a statistician in the biomedical field. The manual explains the steps a clinical statistician must take in clinical trials from protocol writing to subject randomization, to data monitoring, and on to writing a final report to the FDA. All of the necessary fundamentals of statistical analysis: survival and longitudinal data analysis are included. SAS procedures are explained with simple examples and the mathematics behind these SAS procedures are covered in detail with the statistical software program SAS which is implemented throughout the text. Complete codes are given for every example found in the text. The exercises featured throughout the guide are both theoretical and applied making it appropriate for those moving on to different clinical settings. Students will find Clinical Statistics to be a handy lab reference for coursework and in their future careers.

Essentials of Precalculus with Calculus Previews

Essentials of Precalculus with Calculus Previews PDF Author: Dennis Zill
Publisher: Jones & Bartlett Publishers
ISBN: 1449614973
Category : Mathematics
Languages : en
Pages : 450

Book Description
Perfect for the one-term course, Essentials of Precalculus with Calculus Previews, Fifth Edition provides a complete, yet concise, introduction to precalculus concepts, focusing on important topics that will be of direct and immediate use in most calculus courses. Consistent with Professor Zill's eloquent writing style , this full-color text offers numerous exercise sets and examples to aid in student comprehension, while graphs and figures throughout serve to illuminate key concepts. The exercise sets include engaging problems that focus on algebra, graphing, and function theory, the sub-text of many calculus problems. The authors are careful to use calculus terminology in an informal and accessible way to facilitate the students successful transition into future calculus courses. With an outstanding collection of student and instructor resources, Essentials of Precalculus with Calculus Previews offers a complete teaching and learning package.
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