Salas and Hille's Calculus

Salas and Hille's Calculus PDF

Author: Saturnino L. Salas

Publisher:

Published: 1999

Total Pages: 1290

ISBN-13:

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A revision of the successful classic text known for its elegant writing style, precision and perfect balance of theory and applications, this Eighth Edition is refined to offer students an even clearer understanding of calculus and an insight into mathematics. It includes a wealth of problem sets which give calculus relevance for students. Salas, Hille, and Etgen is recognized for its mathematical integrity, accuracy, and clarity.

Calculus

Calculus PDF

Author: Saturnino L. Salas

Publisher: John Wiley & Sons

Published: 2006-11-29

Total Pages: 1175

ISBN-13: 0471698040

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Provides a thorough overview of introductory calculus concepts and application?focusing on comprehension, problem solving, and real-world usage For ten editions, readers have turned to Salas to learn the difficult concepts of calculus without sacrificing rigor. The book consistently provides clear calculus content to help them master these concepts and understand its relevance to the real world. Throughout its pages, Calculus: One and Several Variables, 10th Edition offers a perfect balance of theory and applications to elevate mathematical insights. Readers will also find that it emphasizes both problem-solving skills and real-world applications that don't rely on obscure calculus identities, and which build on one another to help develop important knowledge and skills.

Calculus and Analysis

Calculus and Analysis PDF

Author: Horst R. Beyer

Publisher: John Wiley & Sons

Published: 2010-04-26

Total Pages: 695

ISBN-13: 0470617950

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A NEW APPROACH TO CALCULUS THAT BETTER ENABLES STUDENTS TO PROGRESS TO MORE ADVANCED COURSES AND APPLICATIONS Calculus and Analysis: A Combined Approach bridges the gap between mathematical thinking skills and advanced calculus topics by providing an introduction to the key theory for understanding and working with applications in engineering and the sciences. Through a modern approach that utilizes fully calculated problems, the book addresses the importance of calculus and analysis in the applied sciences, with a focus on differential equations. Differing from the common classical approach to the topic, this book presents a modern perspective on calculus that follows motivations from Otto Toeplitz's famous genetic model. The result is an introduction that leads to great simplifications and provides a focused treatment commonly found in the applied sciences, particularly differential equations. The author begins with a short introduction to elementary mathematical logic. Next, the book explores the concept of sets and maps, providing readers with a strong foundation for understanding and solving modern mathematical problems. Ensuring a complete presentation, topics are uniformly presented in chapters that consist of three parts: Introductory Motivations presents historical mathematical problems or problems arising from applications that led to the development of mathematical solutions Theory provides rigorous development of the essential parts of the machinery of analysis; proofs are intentionally detailed, but simplified as much as possible to aid reader comprehension Examples and Problems promotes problem-solving skills through application-based exercises that emphasize theoretical mechanics, general relativity, and quantum mechanics Calculus and Analysis: A Combined Approach is an excellent book for courses on calculus and mathematical analysis at the upper-undergraduate and graduate levels. It is also a valuable resource for engineers, physicists, mathematicians, and anyone working in the applied sciences who would like to master their understanding of basic tools in modern calculus and analysis.

The How and Why of One Variable Calculus

The How and Why of One Variable Calculus PDF

Author: Amol Sasane

Publisher: John Wiley & Sons

Published: 2015-07-01

Total Pages: 520

ISBN-13: 1119043417

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First course calculus texts have traditionally been either“engineering/science-oriented” with too little rigor,or have thrown students in the deep end with a rigorous analysistext. The How and Why of One Variable Calculus closes thisgap in providing a rigorous treatment that takes an original andvaluable approach between calculus and analysis. Logicallyorganized and also very clear and user-friendly, it covers 6 maintopics; real numbers, sequences, continuity, differentiation,integration, and series. It is primarily concerned with developingan understanding of the tools of calculus. The author presentsnumerous examples and exercises that illustrate how the techniquesof calculus have universal application. The How and Why of One Variable Calculus presents anexcellent text for a first course in calculus for students in themathematical sciences, statistics and analytics, as well as a textfor a bridge course between single and multi-variable calculus aswell as between single variable calculus and upper level theorycourses for math majors.

Student Solutions Manual for Calculus: One Variable, 10e (Chapters 1 - 12)

Student Solutions Manual for Calculus: One Variable, 10e (Chapters 1 - 12) PDF

Author: Saturnino L. Salas

Publisher: Wiley

Published: 2007-01-29

Total Pages: 0

ISBN-13: 9780470105535

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Practice calculus with this solutions manual For students using Calculus: One and Several Variables for classroom instruction, this complete solutions manual for chapters 1-12 provides the answer key to the one-variable problems presented in the text. Now in its tenth edition, Calculus: One and Several Variables has become known for its easy-to-understand writing style and balance of theory and application. With this solutions manual, students can apply their knowledge using the problems presented in the first 12 chapters and check their work as they go.

Salas and Hille's Calculus One Variable

Salas and Hille's Calculus One Variable PDF

Author: Saturnino L. Salas

Publisher:

Published: 1995-01-26

Total Pages: 888

ISBN-13:

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A classic Wiley offering considered to be one of the most outstanding calculus textbooks. It has a terse and elegant mathematics presentation which appeals to those who are interested in leanness in exposition. The focus is on three basic concepts—limit, derivative and integral. Student-friendly, the book's mathematical statements are careful and precise and all important theorems are proved. This expanded edition incorporates modern technology and current trends without sacrificing its acknowledged strengths. Includes many examples and exercises.

Introduction to Integral Calculus

Introduction to Integral Calculus PDF

Author: Ulrich L. Rohde

Publisher: John Wiley & Sons

Published: 2012-01-20

Total Pages: 371

ISBN-13: 1118130332

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An accessible introduction to the fundamentals of calculus needed to solve current problems in engineering and the physical sciences I ntegration is an important function of calculus, and Introduction to Integral Calculus combines fundamental concepts with scientific problems to develop intuition and skills for solving mathematical problems related to engineering and the physical sciences. The authors provide a solid introduction to integral calculus and feature applications of integration, solutions of differential equations, and evaluation methods. With logical organization coupled with clear, simple explanations, the authors reinforce new concepts to progressively build skills and knowledge, and numerous real-world examples as well as intriguing applications help readers to better understand the connections between the theory of calculus and practical problem solving. The first six chapters address the prerequisites needed to understand the principles of integral calculus and explore such topics as anti-derivatives, methods of converting integrals into standard form, and the concept of area. Next, the authors review numerous methods and applications of integral calculus, including: Mastering and applying the first and second fundamental theorems of calculus to compute definite integrals Defining the natural logarithmic function using calculus Evaluating definite integrals Calculating plane areas bounded by curves Applying basic concepts of differential equations to solve ordinary differential equations With this book as their guide, readers quickly learn to solve a broad range of current problems throughout the physical sciences and engineering that can only be solved with calculus. Examples throughout provide practical guidance, and practice problems and exercises allow for further development and fine-tuning of various calculus skills. Introduction to Integral Calculus is an excellent book for upper-undergraduate calculus courses and is also an ideal reference for students and professionals who would like to gain a further understanding of the use of calculus to solve problems in a simplified manner.

Two and Three Dimensional Calculus

Two and Three Dimensional Calculus PDF

Author: Phil Dyke

Publisher: John Wiley & Sons

Published: 2018-07-23

Total Pages: 394

ISBN-13: 1119221781

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Covers multivariable calculus, starting from the basics and leading up to the three theorems of Green, Gauss, and Stokes, but always with an eye on practical applications. Written for a wide spectrum of undergraduate students by an experienced author, this book provides a very practical approach to advanced calculus—starting from the basics and leading up to the theorems of Green, Gauss, and Stokes. It explains, clearly and concisely, partial differentiation, multiple integration, vectors and vector calculus, and provides end-of-chapter exercises along with their solutions to aid the readers’ understanding. Written in an approachable style and filled with numerous illustrative examples throughout, Two and Three Dimensional Calculus: with Applications in Science and Engineering assumes no prior knowledge of partial differentiation or vectors and explains difficult concepts with easy to follow examples. Rather than concentrating on mathematical structures, the book describes the development of techniques through their use in science and engineering so that students acquire skills that enable them to be used in a wide variety of practical situations. It also has enough rigor to enable those who wish to investigate the more mathematical generalizations found in most mathematics degrees to do so. Assumes no prior knowledge of partial differentiation, multiple integration or vectors Includes easy-to-follow examples throughout to help explain difficult concepts Features end-of-chapter exercises with solutions to exercises in the book. Two and Three Dimensional Calculus: with Applications in Science and Engineering is an ideal textbook for undergraduate students of engineering and applied sciences as well as those needing to use these methods for real problems in industry and commerce.