Author: Carl Benjamin BoyerPublisher:
ISBN:
Category : Calculus
Languages : en
Pages : 388
Book Description
Conceptual Calculus
Author: Jerry A. YangPublisher: Xlibris Corporation
ISBN: 1514408694
Category : Education
Languages : en
Pages : 124
Book Description
Conceptual Calculus, initially written as an AP Calculus Grand Review, reorients the focus of calculus away from the formulas toward understanding their underlying meanings and implications. Not only does this book give the whys to the hows, it also makes connections between seemingly disparate ideas and simplifies concepts to where even a seventh grader can understand. As a compendium for crammers, advanced students, and new teachers alike, every important topic is fully explained, with appendices included for a quick pocket review. Grouped into six big ideas, Conceptual Calculus is here to answer all of your AP Calculus conceptual needs.
The Concepts of the Calculus
Author: Carl Benjamin BoyerPublisher:
ISBN:
Category : Calculus
Languages : en
Pages : 388
Book Description
The History of the Calculus and Its Conceptual Development
Author: Carl B. BoyerPublisher: Courier Corporation
ISBN: 0486175383
Category : Mathematics
Languages : en
Pages : 431
Book Description
Fluent description of the development of both the integral and differential calculus — its early beginnings in antiquity, medieval contributions, and a consideration of Newton and Leibniz.
Elementary Analysis
Author: Kenneth A. RossPublisher: CUP Archive
ISBN:
Category : Mathematics
Languages : en
Pages : 192
Book Description
The History of the Calculus and Its Conceptual Development
Author: Carl Benjamin BoyerPublisher:
ISBN:
Category : Calculus
Languages : en
Pages : 0
Book Description
Functions
Author: Cesar GalloPublisher:
ISBN:
Category :
Languages : en
Pages : 318
Book Description
All the Calculus concepts and their applications are based on functions. Most students who fail or find it very difficult to pass their calculus course are proved to have a poor understanding of the concept of function. It also involves a lack of the association between a function and its graph. These facts gave rise to the production of this text exclusively dedicated to the study of functions. The text aims at helping students overcome what would surely be a serious obstacle for them to succeed in their Calculus course. The content is presented in an easy way so that students can reach the essence of the concept. To achieve the same purpose, easy examples are given and explained in detail. A set of 566 exercises are proposed for the students so that they can practice what they have learned. An answer to each proposed exercise is also provided at the end of each chapter. Without a doubt, this text provides the students with the basis for succeeding in their study of Calculus.The book starts with a discussion on relations since functions are cases of relations. The second chapter deals with the definition of a function as a relation between sets of any type, including numerical ones. This chapter provides the foundations to focus on the study of functions of a real variable in the third chapter. These are the functions established between sets of real numbers and they constitute the building blocks of calculus. This chapter covers most of the book, as it constitutes its core. Special attention is given to the construction and use of graphs. Also, the real functions mostly used in calculus applications are studied in this chapter. The fourth chapter tackles arithmetic operations with real functions and based on them the determination of domains.The explanations are given by using an easy language accessible to all students regardless of their level of knowledge. Along with the explanations, very simple examples are presented, since the objective is to help the student understand the concepts and not make them appear as complicated topics only accessible to privileged minds. However, it is important to highlight that the students should be familiar with the symbols and the language used in propositional logic as well as having a basic knowledge of set theory. The students who are not familiar with these topics should then previously review textbooks that deal with these themes. By carefully reading the entire book without omitting any section and by doing all the exercises proposed, the students will get the knowledge on functions required to guarantee their success in their calculus courses. The author is both an engineer and an economist who graduated from the Central University of Venezuela. He also earned an MSc in Development Planning from the same university. Additionally, he earned an MSc in Economics from the Queen Mary College of the University of London, and a Ph.D. in Planning Studies from the University College London of the same university. He has been a visiting researcher at the London School of Economics, the University of Ottawa, and the University of Oxford. Dr. Gallo has more than thirty years of teaching experience in mathematics and he currently works as a Math tutor at the Houston Community College. He has also published several textbooks on both Mathematics and Econometrics.
The History of the Calculus and Its Conceptual Development
Author: Carl B. BoyerA Concept of Limits
Author: Donald W. HightPublisher: Courier Corporation
ISBN: 0486153126
Category : Mathematics
Languages : en
Pages : 164
Book Description
An exploration of conceptual foundations and the practical applications of limits in mathematics, this text offers a concise introduction to the theoretical study of calculus. Many exercises with solutions. 1966 edition.
Exterior Calculus: Theory and Cases
Author: Carlos PolancoPublisher: Bentham Science Publishers
ISBN: 9814998796
Category : Mathematics
Languages : en
Pages : 141
Book Description
Exterior calculus is a branch of mathematics which involves differential geometry. In Exterior calculus the concept of differentiations is generalized to antisymmetric exterior derivatives and the notions of ordinary integration to differentiable manifolds of arbitrary dimensions. It therefore generalizes the fundamental theorem of calculus to Stokes' theorem. This textbook covers the fundamental requirements of exterior calculus in curricula for college students in mathematics and engineering programs. Chapters start from Heaviside-Gibbs algebra, and progress to different concepts in Grassman algebra. The final section of the book covers applications of exterior calculus with solutions. Readers will find a concise and clear study of vector calculus and differential geometry, along with several examples and exercises. The solutions to the exercises are also included at the end of the book. This is an ideal book for students with a basic background in mathematics who wish to learn about exterior calculus as part of their college curriculum and equip themselves with the knowledge to apply relevant theoretical concepts in practical situations.
CK-12 Calculus
Author: CK-12 FoundationPublisher: CK-12 Foundation
ISBN: 1935983016
Category : Mathematics
Languages : en
Pages : 603
Book Description
CK-12 Foundation's Single Variable Calculus FlexBook introduces high school students to the topics covered in the Calculus AB course. Topics include: Limits, Derivatives, and Integration.