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Author: Ulrich L. Rohde Publisher: John Wiley & Sons ISBN: 1118130332 Category : Mathematics Languages : en Pages : 371
Book Description
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.
Author: Ulrich L. Rohde Publisher: John Wiley & Sons ISBN: 1118130332 Category : Mathematics Languages : en Pages : 371
Book Description
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.
Author: Oscar E. Fernandez Publisher: Princeton University Press ISBN: 0691175756 Category : Mathematics Languages : en Pages : 166
Book Description
A fun look at calculus in our everyday lives Calculus. For some of us, the word conjures up memories of ten-pound textbooks and visions of tedious abstract equations. And yet, in reality, calculus is fun and accessible, and surrounds us everywhere we go. In Everyday Calculus, Oscar Fernandez demonstrates that calculus can be used to explore practically any aspect of our lives, including the most effective number of hours to sleep and the fastest route to get to work. He also shows that calculus can be both useful—determining which seat at the theater leads to the best viewing experience, for instance—and fascinating—exploring topics such as time travel and the age of the universe. Throughout, Fernandez presents straightforward concepts, and no prior mathematical knowledge is required. For advanced math fans, the mathematical derivations are included in the appendixes. The book features a new preface that alerts readers to new interactive online content, including demonstrations linked to specific figures in the book as well as an online supplement. Whether you're new to mathematics or already a curious math enthusiast, Everyday Calculus will convince even die-hard skeptics to view this area of math in a whole new way.
Author: Richard Courant Publisher: John Wiley & Sons ISBN: 1118031490 Category : Mathematics Languages : en Pages : 634
Book Description
The classic introduction to the fundamentals of calculus Richard Courant's classic text Differential and Integral Calculus is an essential text for those preparing for a career in physics or applied math. Volume 1 introduces the foundational concepts of "function" and "limit", and offers detailed explanations that illustrate the "why" as well as the "how". Comprehensive coverage of the basics of integrals and differentials includes their applications as well as clearly-defined techniques and essential theorems. Multiple appendices provide supplementary explanation and author notes, as well as solutions and hints for all in-text problems.
Author: Edwin Herman Publisher: ISBN: 9781947172838 Category : Calculus Languages : en Pages : 0
Book Description
Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 3 covers parametric equations and polar coordinates, vectors, functions of several variables, multiple integration, and second-order differential equations.
Author: Joseph Edwards Publisher: ISBN: 9789354210785 Category : Languages : en Pages : 1000
Book Description
This book has been considered by academicians and scholars of great significance and value to literature. This forms a part of the knowledge base for future generations. So that the book is never forgotten we have represented this book in a print format as the same form as it was originally first published. Hence any marks or annotations seen are left intentionally to preserve its true nature.
Author: A.K. Sharma Publisher: Discovery Publishing House ISBN: 9788171419685 Category : Calculus, Integral Languages : en Pages : 232
Book Description
This book Text Book of Integral Calculus has been specially written to meet the requirements of B.A./B.Sc., students of all Indian Universities. The subject matter has been discussed in such a simple way that the students will find no difficulty to understand it. The proof of various theorems and examples has been given with minute details. Each chapter of this book contains complete theory and large number of solved examples. Sufficient problems have also been selected from various Indian Universities. Contents: Integration of Trigonometric Functions, Reduction Formulae (Trigonometric Functions).
Author: Hari Kishan Publisher: Atlantic Publishers & Dist ISBN: 9788126905591 Category : Languages : en Pages : 390
Book Description
The Present Book Integral Calculus Is A Unique Textbook On Integration, Aiming At Providing A Fairly Complete Account Of The Basic Concepts Required To Build A Strong Foundation For A Student Endeavouring To Study This Subject. The Analytical Approach To The Major Concepts Makes The Book Highly Self-Contained And Comprehensive Guide That Succeeds In Making The Concepts Easily Understandable. These Concepts Include Integration By Substitution Method, Parts, Trigonometrical Substitutions And Partial Functions; Integration Of Hyperbolic Functions, Rational Functions, Irrational Functions And Transcendental Functions; Definite Integrals; Reduction Formulae; Beta And Gamma Functions; Determination Of Areas, Lengths, Volumes And Surfaces Of Solids Of Revolution And Many More. All The Elementary Principles And Fundamental Concepts Have Been Explained Rigorously, Leaving No Scope For Illusion Or Confusion. The Focus Throughout The Text Has Been On Presenting The Subject Matter In A Well-Knit Manner And Lucid Style, So That Even A Student With Average Mathematical Skill Would Find It Accessible To Himself. In Addition, The Book Provides Numerous Well-Graded Solved Examples, Generally Set In Various University And Competitive Examinations, Which Will Facilitate Easy Understanding Besides Acquainting The Students With A Variety Of Questions.It Is Hoped That The Book Would Be Highly Useful For The Students And Teachers Of Mathematics. Students Aspiring To Successfully Accomplish Engineering And Also Those Preparing For Various Competitive Examinations Are Likely To Find This Book Of Much Help.
Author: Paul J. Nahin Publisher: Springer Nature ISBN: 3030437884 Category : Science Languages : en Pages : 542
Book Description
What’s the point of calculating definite integrals since you can’t possibly do them all? What makes doing the specific integrals in this book of value aren’t the specific answers we’ll obtain, but rather the methods we’ll use in obtaining those answers; methods you can use for evaluating the integrals you will encounter in the future. This book, now in its second edition, is written in a light-hearted manner for students who have completed the first year of college or high school AP calculus and have just a bit of exposure to the concept of a differential equation. Every result is fully derived. If you are fascinated by definite integrals, then this is a book for you. New material in the second edition includes 25 new challenge problems and solutions, 25 new worked examples, simplified derivations, and additional historical discussion.
Author: Colin Adams Publisher: Times Books ISBN: 1627798854 Category : Mathematics Languages : en Pages : 340
Book Description
Written by three gifted-and funny-teachers, How to Ace Calculus provides humorous and readable explanations of the key topics of calculus without the technical details and fine print that would be found in a more formal text. Capturing the tone of students exchanging ideas among themselves, this unique guide also explains how calculus is taught, how to get the best teachers, what to study, and what is likely to be on exams-all the tricks of the trade that will make learning the material of first-semester calculus a piece of cake. Funny, irreverent, and flexible, How to Ace Calculus shows why learning calculus can be not only a mind-expanding experience but also fantastic fun.
Author: Elimhan Mahmudov Publisher: Springer Science & Business Media ISBN: 9491216864 Category : Mathematics Languages : en Pages : 386
Book Description
The book “Single variable Differential and Integral Calculus” is an interesting text book for students of mathematics and physics programs, and a reference book for graduate students in any engineering field. This book is unique in the field of mathematical analysis in content and in style. It aims to define, compare and discuss topics in single variable differential and integral calculus, as well as giving application examples in important business fields. Some elementary concepts such as the power of a set, cardinality, measure theory, measurable functions are introduced. It also covers real and complex numbers, vector spaces, topological properties of sets, series and sequences of functions (including complex-valued functions and functions of a complex variable), polynomials and interpolation and extrema of functions. Although analysis is based on the single variable models and applications, theorems and examples are all set to be converted to multi variable extensions. For example, Newton, Riemann, Stieltjes and Lebesque integrals are studied together and compared.
Author: Ulrich L. Rohde
Author: Ulrich L. Rohde
Author: Oscar E. Fernandez
Author: Richard Courant
Author: Edwin Herman
Author: Joseph Edwards
Author: A.K. Sharma
Author: Hari Kishan
Author: Paul J. Nahin
Author: Colin Adams
Author: Elimhan Mahmudov