"From the author of the highly-acclaimed "A First Course in Real Analysis" comes a volume designed specifically for a short one-semester course in real analysis. Many students of mathematics and the physical and computer sciences need a text that presents the most important material in a brief and elementary fashion. The author meets this need with such elementary topics as the real number system, the theory a ..."
"This book is designed for a first course in real analysis following the standard course in elementary calculus. Since many students encounter rigorous mathematical theory for the first time in this course, the authors have included such elementary topics as the axioms of algebra and their immediate consequences as well as proofs of the basic theorems on limits. The pace is deliberate, and the proofs are detailed. The emphasis of the pre ..."
"Chapters 1-5 of this book contain all the material normally included in a third semester multivariable calculus course. Chapters 6-10 cover such topics as Fourier series, Green's and Stokes's Theorems, and the implicit function theorem. The authors have made their treatment of the topics in the second half of the book as independent of each other as possible, giving the instructor a high degree of flexibility in structuring the course. ..."
"Maximum Principles are central to the theory and applications of second-order partial differential equations and systems. This self-contained text establishes the fundamental principles and provides a variety of applications."
"Intuitively explains the theories, principles, and operations of the two mathematical fields, emphasizing their applications to physics and engineering problems"
"PREFACE - . . . The topics taken up in this volume meet the needs of the majority of students taking the customary calculus course at a college or university. There is ample material for a two semester (or three quarter) course of four or five credits. This book leans heavily on the intuitive approach, gives many illustrative examples, emphasizes physical applications wherever suitable, and has a large selection of graded exercises. ..."
"A logically presented step by step textbook about analytical geometry. Chapters: 1. Inequalities 2. Relations, Functions, Graphs 3. The Line 4. Vectors In A Plane 5. The Circle 6. The Conics 7. Graphs of Algebraic Relations 8. The Transcendental Functions 9. Parametric Equations, Polar Coordinates 10. Solid Analytic Geometry 11. Vectors In Three Dimensions. A classic designed to get the points across simply and straightforwardly, this m ..."
"Preface: "This book is designed for students who have already completed a one-year course in calculus and analytic geometry devoted to the study of functions of one variable. We assume that the student has learned prerequisite "Calculus and Analytic Geometry, A first Course" or equivalent text which covers approximately the same body of knowledge. Throughout this book we shall refer to theorems and examples in previous text, using the ..."
Intermediate Calculus(Reprint) (Undergraduate Texts in Mathematics) by MurrayH.Protter Paperback, 672 Pages, Published 2012 by Springer ISBN-13: 978-1-4612-7006-5, ISBN: 1-4612-7006-5
"Chapters 1-5 of this book contain all the material normally included in a third semester multivariable calculus course. Chapters 6-10 cover such topics as Fourier series, Green's and Stokes's Theorems, and the implicit function theorem. The authors have made their treatment of the topics in the second half of the book as independent of each other as possible, giving the instructor a high degree of flexibility in structuring the course. ..."
Basic Elements of Real Analysis(Reprint) (Undergraduate Texts in Mathematics) by MurrayH. Protter Paperback, 276 Pages, Published 2013 by Springer ISBN-13: 978-1-4757-7150-3, ISBN: 1-4757-7150-9
"From the author of the highly-acclaimed "A First Course in Real Analysis" comes a volume designed specifically for a short one-semester course in real analysis. Many students of mathematics and the physical and computer sciences need a text that presents the most important material in a brief and elementary fashion. The author meets this need with such elementary topics as the real number system, the theory a ..."
A First Course in Real Analysis(2nd Edition) (Undergraduate Texts in Mathematics) by MurrayH. Protter Paperback, 536 Pages, Published 2013 by Springer ISBN-13: 978-1-4612-6460-6, ISBN: 1-4612-6460-X
"This book is designed for a first course in real analysis following the standard course in elementary calculus. Since many students encounter rigorous mathematical theory for the first time in this course, the authors have included such elementary topics as the axioms of algebra and their immediate consequences as well as proofs of the basic theorems on limits. The pace is deliberate, and the proofs are detailed. The emphasis of the pre ..."
"(Undergraduate texts in mathematics) Rev. ed. of Calculus with analytic geometry
. ... Calculus. 2. Geometry, Analytic. I. Morrey, Charles Bradfield. II. Protter, Murray
H. Calculus with analytic geometry. III. Title. QA303.P974 1985 515.15 84–14118
IV. ... edition of Calculus with Analytic Geometry: A Second Course, the first
edition of which was published by Addison-Wesley ... (eBook) Preface Analytic
geometry and calculus at a co ..."
"Maximum Principles are central to the theory and applications of second-order partial differential equations and systems. This self-contained text establishes the fundamental principles and provides a variety of applications."
"Professor of Mathematics at Stanford University from 1950 until his death in 1968, Charles Loewner occasionally taught as a Visiting Professor at the University of California at Berkeley. After his 1955 course at Berkeley on continuous groups, Loewner's lectures were reproduced in the form of mimeographed notes. The professor had intended to develop these notes into a book, but the project was still in formative stages at the time of hi ..."
"Mathematics Subject Classification (1991): 26-01, 26-06, 26A54 Library of
Congress Cataloging-in-Publication Data Protter, Murray H. Basic elements of
real analysis / Murray ... references and index. ISBN 0-387-98479-8 (hardcover :
alk. paper) 1. Mathematical analysis. I. Title. II. Series. QA300. ... This work may
not be translated or copied in whole or in part without the written permission of
the publisher ..."
"PROBLEMS. In Problems 1 through 10, the face of a dam adjacent to the water is
vertical and has the shape indicated. Find the total force on the dam due to fluid
pressure. 1 A rectangle 200 m wide, 15 m high; water 10 m deep. 2 A rectangle
150 m wide, 12 m high; water 8 m deep. 3 An isosceles triangle 30 m wide at the
top, 20 m high in the center; dam full of water. 4 An isosceles triangle 30 m wide
at the top, 15 m high in the cen ..."
"Many changes have been made in this second edition of A First Course in Real Analysis. The most noticeable is the addition of many problems and the inclusion of answers to most of the odd-numbered exercises. The book's readability has also been improved by the further clarification of many of the proofs, additional explanatory remarks, and clearer notation."