Gerald B. Folland  | Pearson

43,000원  | 20220601  | 9789813137479

This book presents a unified view of calculus in which theory and practice reinforces each other. It is about the theory and applications of derivatives (mostly partial), integrals, (mostly multiple or improper), and infinite series (mostly of functions rather than of numbers), at a deeper level than is found in the standard calculus books.

 | John Wiley & Sons

403,160원  | 20210101  | 9780471025665

Outlines theory and techniques of calculus, emphasizing strong understanding of concepts, and the basic principles of analysis. Reviews elementary and intermediate calculus and features discussions of elementary-point set theory, and properties of continuous functions.

 | American Mathematical Society

93,380원  | 20200701  | 9781470456764

The second of three volumes that, together, give an exposition of the mathematics of grades 9-12 that is simultaneously mathematically correct and grade-level appropriate. The volumes are consistent with CCSSM (Common Core State Standards for Mathematics) and aim at presenting the mathematics of K-12 as a totally transparent subject.

Hyunseok Kim, Young-Ran Lee  | 경문사

21,400원  | 20200302  | 9791160733617

The book begins with a preliminary chapter on sets, functions, and real numbers. After briefly providing basic set theory, we introduce the completeness property of real numbers and its several consequences. The main body consists of two parts. Part I is devoted to developing the theory of functions of one variable. Functions of several variables which are more difficult and technical are studied in Part II. Part I is self-contained. All the theorems in Part I are deduced from the completeness property of real numbers. But some results in Part II are proved by using standard results from linear algebra such as elementary matrices and determinants. Therefore, readers of Part II should have some knowledge about elementary Linear Algebra. It is also highly recommended to be familiar with basic set theory in the preliminary chapter since set-theoretical arguments are inevitably used to establish many important theorems for functions of several variables. There are two kinds of problems in this book: exercises inside each section and problems at the end of each chapter. Section exercises are relatively easy and provided for self-study. Making efforts to solve exercises by trial and error, readers not only better understand new concepts and theorems in sections but also have chances to generalize them to some extent. Chapter problems are placed at the end of each chapter because materials from more than two sections are often necessary to solve them successfully. Some problems allow readers to obtain interesting new results by applying the concepts and results in the chapter. However, chapter problems are more challenging than section exercises. Problems marked by an * are provided with short hints at the end of the book. 저자는 고등 미적분학을 배우기에 앞서 필요한, 집합과 함수, 실수 등을 다루며 책을 시작합니다. 기초 집합론이 간략히 제시된 후 실수의 완비성과 그에 따른 여러 결과가 소개됩니다. 본문은 두 편으로 구성됩니다. 제1편에서는 일변수 함수 이론을 전개하는 데 중점을 두었습니다. 더 어렵고 전문적인, 다변수 함수는 제2편에서 배웁니다. 제1편은 자립적(self-contained)입니다. 제1편의 모든 정리는 실수의 완비성(completeness property)에서 연역됩니다. 그러나 제2편의 몇몇 결과는 행렬 및 행렬식과 같은, 선형 대수학에서 도출된 표준 결과로써 증명됩니다. 그러므로 제2편을 읽는 이는 일정 수준의 기초 선형 대수학 지식을 갖춰야 합니다. 또한, 독자들은 집합론의 기본적인 부분에 익숙해질 필요가 있습니다. 왜냐하면, 집합론적 논의는 다변수 함수의 중요한 정리들을 세우는 데 반드시 쓰이기 때문입니다. 본서에는 두 가지 종류의 문제가 있습니다. 각 섹션에 포함된 Exercises와 챕터 마지막에 배치된 Problems가 그것입니다. 섹션별 Exercises는 상대적으로 쉬운 문제로 구성되어 있으며 자습용으로 제공됩니다. 시행착오를 거치며 문제를 해결함으로써 독자들은 해당 섹션의 개념과 정리를 보다 효과적으로 이해할 수 있을 뿐만 아니라 그러한 개념, 정리들을 다소간 일반화할 기회를 얻게 됩니다. Problems는 각 챕터의 마지막에 실렸는데, 그 이유는 문제를 성공적으로 풀기 위해선 종종 두 섹션 이상의 내용이 요구되기 때문입니다. Problems의 문제는 독자가 그 챕터의 개념과 결과를 적용하여 흥미롭고 새로운 결과를 얻을 수 있게 합니다. 하지만 Problems의 문제들은 Exercises의 문제보다 도전적입니다. *표시가 있는 문제에 대한 짧은 힌트가 책 뒷부분에 수록되어 있습니다.

Buck, R. Creighton  | Waveland

0원  | 20210101  | 9781577663027

John Srdjan Petrovic  | Taylor & Francis

48,000원  | 20141231  | 9781466565630

This text expands on the material covered in elementary calculus and presents this material in a rigorous manner yet makes the ideas less abstract to students. The text improves students’ problem-solving and proof-writing skills, familiarizes them with the historical development of calculus concepts, and helps them understand the connections among different topics. Nearly 300 examples lead to important theorems as well as help students develop the necessary skills to closely examine the theorems.

Folland  | Pearson Education

0원  | 20140128  | 9788945001221

한국판 원서교재 Advanced Calculus에 대해 소개한다

 | Springer Nature B.V.

69,980원  | 20131112  | 9780817684136

In a book written for mathematicians, teachers of mathematics, and highly motivated students, Harold Edwards has taken a bold and unusual approach to the presentation of advanced calculus. He begins with a lucid discussion of differential forms and quickly moves to the fundamental theorems of calculus and Stokes' theorem.

 | Addison Wesley Publishing Company

272,970원  | 20021101  | 9780201799378

The fifth edition of this text offers substantial training in vectors and matrices, vector analysis, and partial differential equations.

Fulks, Watson  | Wiley

54,000원  | 19780101  | 9780471021957

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.

Hyunseok Kim, Young-Ran Lee  | 경문사

29,450원  | 20240304  | 9791160736939

The book begins with a preliminary chapter on sets, functions, and real numbers. After briefly providing basic set theory, we introduce the completeness property of real numbers and its several consequences. The main body consists of two parts. Part I is devoted to developing the theory of functions of one variable. Functions of several variables which are more difficult and technical are studied in Part II. Part I is self-contained. All the theorems in Part I are deduced from the completeness property of real numbers. But some results in Part II are proved by using standard results from linear algebra such as elementary matrices and determinants. Therefore, readers of Part II should have some knowledge about elementary Linear Algebra. It is also highly recommended to be familiar with basic set theory in the preliminary chapter since set-theoretical arguments are inevitably used to establish many important theorems for functions of several variables. There are two kinds of problems in this book: exercises inside each section and problems at the end of each chapter. Section exercises are relatively easy and provided for self-study. Making efforts to solve exercises by trial and error, readers not only better understand new concepts and theorems in sections but also have chances to generalize them to some extent. Chapter problems are placed at the end of each chapter because materials from more than two sections are often necessary to solve them successfully. Some problems allow readers to obtain interesting new results by applying the concepts and results in the chapter. However, chapter problems are more challenging than section exercises. Problems marked by an * are provided with short hints at the end of the book. 저자는 고등 미적분학을 배우기에 앞서 필요한, 집합과 함수, 실수 등을 다루며 책을 시작합니다. 기초 집합론이 간략히 제시된 후 실수의 완비성과 그에 따른 여러 결과가 소개됩니다. 본문은 두 편으로 구성됩니다. 제1편에서는 일변수 함수 이론을 전개하는 데 중점을 두었습니다. 더 어렵고 전문적인, 다변수 함수는 제2편에서 배웁니다. 제1편은 자립적(self-contained)입니다. 제1편의 모든 정리는 실수의 완비성(completeness property)에서 연역됩니다. 그러나 제2편의 몇몇 결과는 행렬 및 행렬식과 같은, 선형 대수학에서 도출된 표준 결과로써 증명됩니다. 그러므로 제2편을 읽는 이는 일정 수준의 기초 선형 대수학 지식을 갖춰야 합니다. 또한, 독자들은 집합론의 기본적인 부분에 익숙해질 필요가 있습니다. 왜냐하면, 집합론적 논의는 다변수 함수의 중요한 정리들을 세우는 데 반드시 쓰이기 때문입니다. 본서에는 두 가지 종류의 문제가 있습니다. 각 섹션에 포함된 Exercises와 챕터 마지막에 배치된 Problems가 그것입니다. 섹션별 Exercises는 상대적으로 쉬운 문제로 구성되어 있으며 자습용으로 제공됩니다. 시행착오를 거치며 문제를 해결함으로써 독자들은 해당 섹션의 개념과 정리를 보다 효과적으로 이해할 수 있을 뿐만 아니라 그러한 개념, 정리들을 다소간 일반화할 기회를 얻게 됩니다. Problems는 각 챕터의 마지막에 실렸는데, 그 이유는 문제를 성공적으로 풀기 위해선 종종 두 섹션 이상의 내용이 요구되기 때문입니다. Problems의 문제는 독자가 그 챕터의 개념과 결과를 적용하여 흥미롭고 새로운 결과를 얻을 수 있게 합니다. 하지만 Problems의 문제들은 Exercises의 문제보다 도전적입니다. *표시가 있는 문제에 대한 짧은 힌트가 책 뒷부분에 수록되어 있습니다.

 | Morgan & Claypool

69,910원  | 20190926  | 9781681736563

This book continues the material in two early Fast Start calculus volumes to include multivariate calculus, sequences and series, and a variety of additional applications. These include partial derivatives and the optimization techniques that arise from them, including Lagrange multipliers. Volumes of rotation, arc length, and surface area are included in the additional applications of integration. Using multiple integrals, including computing volume and center of mass, is covered.

 | Morgan and Claypool Publishers

104,910원  | 20190926  | 9781681736587

This book continues the material in two early Fast Start calculus volumes to include multivariate calculus, sequences and series, and a variety of additional applications. These include partial derivatives and the optimization techniques that arise from them, including Lagrange multipliers. Volumes of rotation, arc length, and surface area are included in the additional applications of integration. Using multiple integrals, including computing volume and center of mass, is covered.

 | Springer

62,980원  | 20190926  | 9783031012945

This book continues the material in two early Fast Start calculus volumes to include multivariate calculus, sequences and series, and a variety of additional applications. The book concludes with an initial treatment of sequences, series, power series, and Taylor's series, including techniques of function approximation.

 | Springer Nature B.V.

69,980원  | 20220309  | 9783030918644

This book convenes a collection of carefully selected problems in mathematical analysis, crafted to achieve maximum synergy between analytic geometry and algebra and favoring mathematical creativity in contrast to mere repetitive techniques. With eight chapters, this work guides the student through the basic principles of the subject, with a level of complexity that requires good use of imagination.In this work, all the fundamental concepts seen in a first-year Calculus course are covered.