Calculus with Early Vectors
Calculus with Early Vectors

Author: Phillip Zenor

Publisher: Pearson

Published: 1999

Total Pages: 856

ISBN-13:

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This book focuses on the requirements of a specific group of readers, structuring the book so that calculus is presented as a single subject rather than a collection of topics. With a user-friendly approach that keeps the reader in mind, the material is organized so that vector calculus is thoroughly covered. Approaches the theoretical aspects of calculus with the belief that, at the introductory level, it is important to understand the geometric basis for theorems and develop an intuitive understanding for the statements of the theorems and their implications. Emphasizes the power of calculus as a tool for modeling complex physical problems in order to present the methods of differentiation and integration as necessary skills needed to solve problems that arise from mathematical models. Excellent as a refresher for those in fields requiring a strong mathematical background.

Calculus with Vectors
Calculus with Vectors

Author: Jay S. Treiman

Publisher: Springer

Published: 2014-10-30

Total Pages: 406

ISBN-13: 3319094386

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Calculus with Vectors grew out of a strong need for a beginning calculus textbook for undergraduates who intend to pursue careers in STEM fields. The approach introduces vector-valued functions from the start, emphasizing the connections between one-variable and multi-variable calculus. The text includes early vectors and early transcendentals and includes a rigorous but informal approach to vectors. Examples and focused applications are well presented along with an abundance of motivating exercises. The approaches taken to topics such as the derivation of the derivatives of sine and cosine, the approach to limits and the use of "tables" of integration have been modified from the standards seen in other textbooks in order to maximize the ease with which students may comprehend the material. Additionally, the material presented is intentionally non-specific to any software or hardware platform in order to accommodate the wide variety and rapid evolution of tools used. Technology is referenced in the text and is required for a good number of problems.

Single Variable Calculus with Vector Functions for AP* Calculus
Single Variable Calculus with Vector Functions for AP* Calculus

Author: James Stewart

Publisher: Cengage Learning

Published: 2006-03

Total Pages: 968

ISBN-13:

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Stewart's SINGLE VARIABLE CALCULUS WITH VECTOR FUNCTIONS has the mathematical precision, accuracy, clarity of exposition and outstanding examples and problem sets that characterized all of James Stewart�s texts. In this new text, Stewart focuses on problem solving, using the pedagogical system that has worked so well for students in a wide variety of academic settings throughout the world.

Vector Calculus
Vector Calculus

Author: Paul C. Matthews

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 189

ISBN-13: 1447105974

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Vector calculus is the fundamental language of mathematical physics. It pro vides a way to describe physical quantities in three-dimensional space and the way in which these quantities vary. Many topics in the physical sciences can be analysed mathematically using the techniques of vector calculus. These top ics include fluid dynamics, solid mechanics and electromagnetism, all of which involve a description of vector and scalar quantities in three dimensions. This book assumes no previous knowledge of vectors. However, it is assumed that the reader has a knowledge of basic calculus, including differentiation, integration and partial differentiation. Some knowledge of linear algebra is also required, particularly the concepts of matrices and determinants. The book is designed to be self-contained, so that it is suitable for a pro gramme of individual study. Each of the eight chapters introduces a new topic, and to facilitate understanding of the material, frequent reference is made to physical applications. The physical nature of the subject is clarified with over sixty diagrams, which provide an important aid to the comprehension of the new concepts. Following the introduction of each new topic, worked examples are provided. It is essential that these are studied carefully, so that a full un derstanding is developed before moving ahead. Like much of mathematics, each section of the book is built on the foundations laid in the earlier sections and chapters.

Calculus
Calculus

Author: James Stewart

Publisher: Brooks Cole

Published: 1999

Total Pages: 0

ISBN-13: 9780534349417

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Once again keeping a keen ear to the needs of the evolving calculus community, Stewart created this text at the suggestion and with the collaboration of professors in the mathematics department at Texas A&M University. With an early introduction to vectors and vector functions, the approach is ideal for engineering students who use vectors early in their curriculum. Stewart begins by introducing vectors in Chapter 1, along with their basic operations, such as addition, scalar multiplication, and dot product. The definition of vector functions and parametric curves is given at the end of Chapter 1 using a two-dimensional trajectory of a projectile as motivation. Limits, derivatives, and integrals of vector functions are interwoven throughout the subsequent chapters. As with the other texts in his Calculus series, in Early Vectors Stewart makes us of heuristic examples to reveal calculus to students. His examples stand out because they are not just models for problem solving or a means of demonstrating techniques - they also encourage students to develop an analytic view of the subject. This heuristic or discovery approach in the examples give students an intuitive feeling for analysis. In the Preliminary Edition, Stewart incorporates a focus on problem solving; meticulously attends to accuracy; patiently explains the concepts and examples; and includes the same carefully graded problems that make his other texts work so well for a wide range of students.

Vector Calculus
Vector Calculus

Author: Jerrold E. Marsden

Publisher: Macmillan

Published: 2003-08

Total Pages: 712

ISBN-13: 9780716749929

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'Vector Calculus' helps students foster computational skills and intuitive understanding with a careful balance of theory, applications, and optional materials. This new edition offers revised coverage in several areas as well as a large number of new exercises and expansion of historical notes.

Multivariable Calculus with Vectors
Multivariable Calculus with Vectors

Author: Hartley Rogers

Publisher:

Published: 1999

Total Pages: 824

ISBN-13:

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This text is for the third semester or fourth and fifth quarters of calculus; i.e., for multivariable or vector calculus courses. This text presents a conceptual underpinning for multivariable calculus that is as natural and intuitively simple as possible. More than its competitors, this book focuses on modeling physical phenomena, especially from physics and engineering, and on developing geometric intuition.

Understanding Vector Calculus
Understanding Vector Calculus

Author: Jerrold Franklin

Publisher: Courier Dover Publications

Published: 2021-01-13

Total Pages: 113

ISBN-13: 048684885X

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This concise text is a workbook for using vector calculus in practical calculations and derivations. Part One briefly develops vector calculus from the beginning; Part Two consists of answered problems. 2020 edition.

Vector Calculus
Vector Calculus

Author: Miroslav Lovric

Publisher: John Wiley & Sons

Published: 2007-01-03

Total Pages: 638

ISBN-13: 0471725692

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This book gives a comprehensive and thorough introduction to ideas and major results of the theory of functions of several variables and of modern vector calculus in two and three dimensions. Clear and easy-to-follow writing style, carefully crafted examples, wide spectrum of applications and numerous illustrations, diagrams, and graphs invite students to use the textbook actively, helping them to both enforce their understanding of the material and to brush up on necessary technical and computational skills. Particular attention has been given to the material that some students find challenging, such as the chain rule, Implicit Function Theorem, parametrizations, or the Change of Variables Theorem.

Second Year Calculus
Second Year Calculus

Author: David M. Bressoud

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 399

ISBN-13: 1461209595

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Second Year Calculus: From Celestial Mechanics to Special Relativity covers multi-variable and vector calculus, emphasizing the historical physical problems which gave rise to the concepts of calculus. The book guides us from the birth of the mechanized view of the world in Isaac Newton's Mathematical Principles of Natural Philosophy in which mathematics becomes the ultimate tool for modelling physical reality, to the dawn of a radically new and often counter-intuitive age in Albert Einstein's Special Theory of Relativity in which it is the mathematical model which suggests new aspects of that reality. The development of this process is discussed from the modern viewpoint of differential forms. Using this concept, the student learns to compute orbits and rocket trajectories, model flows and force fields, and derive the laws of electricity and magnetism. These exercises and observations of mathematical symmetry enable the student to better understand the interaction of physics and mathematics.