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Author: G. Mccarty
Publisher: Springer Science & Business Media
ISBN: 1468464841
Category : Mathematics
Languages : en
Pages : 271
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Book Description
How THIS BOOK DIFFERS This book is about the calculus. What distinguishes it, however, from other books is that it uses the pocket calculator to illustrate the theory. A computation that requires hours of labor when done by hand with tables is quite inappropriate as an example or exercise in a beginning calculus course. But that same computation can become a delicate illustration of the theory when the student does it in seconds on his calculator. t Furthermore, the student's own personal involvement and easy accomplishment give hi~ reassurance and en couragement. The machine is like a microscope, and its magnification is a hundred millionfold. We shall be interested in limits, and no stage of numerical approximation proves anything about the limit. However, the derivative of fex) = 67.SgX, for instance, acquires real meaning when a student first appreciates its values as numbers, as limits of 10 100 1000 t A quick example is 1.1 , 1.01 , 1.001 , •••• Another example is t = 0.1, 0.01, in the function e/3t+9-3)/t. ix difference quotients of numbers, rather than as values of a function that is itself the result of abstract manipulation.
Author: G. Mccarty
Publisher: Springer Science & Business Media
ISBN: 1468464841
Category : Mathematics
Languages : en
Pages : 271
Get Book Here
Book Description
How THIS BOOK DIFFERS This book is about the calculus. What distinguishes it, however, from other books is that it uses the pocket calculator to illustrate the theory. A computation that requires hours of labor when done by hand with tables is quite inappropriate as an example or exercise in a beginning calculus course. But that same computation can become a delicate illustration of the theory when the student does it in seconds on his calculator. t Furthermore, the student's own personal involvement and easy accomplishment give hi~ reassurance and en couragement. The machine is like a microscope, and its magnification is a hundred millionfold. We shall be interested in limits, and no stage of numerical approximation proves anything about the limit. However, the derivative of fex) = 67.SgX, for instance, acquires real meaning when a student first appreciates its values as numbers, as limits of 10 100 1000 t A quick example is 1.1 , 1.01 , 1.001 , •••• Another example is t = 0.1, 0.01, in the function e/3t+9-3)/t. ix difference quotients of numbers, rather than as values of a function that is itself the result of abstract manipulation.
Author: Kenneth Williams
Publisher: Motilal Banarsidass Publishe
ISBN: 9788120818712
Category : Juvenile Nonfiction
Languages : en
Pages : 264
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Book Description
The remarkable system of Vedic mathematics was created after careful study of ancient -Sanskrit texts early last century. The Vedic system with its direct, easy and flexible approach forms a complete system of mental, mathematics (though the methods can also' be written down) and brings out the naturally coherent and unified structure of mathematics. Many of the features and techniques of this unique system are truly amazing in their efficiency and originality. Being a mental system, Vedic Mathematics encourages creativity and innovation. Mental mathematics increases mental agility, improves memory, the ability to hold ideas in the mind and promotes confidence, as well as being of great practical use. This course consists of three textbooks an Answer Book and a Teacher's Guide. The course is aimed at 11-14 year old pupils though some of it is very suitable for children from 8 years. Vedic Mathematics is being taught in many schools world-wide with great success: many top mathematics prizes have been won by students of this system.
Author: V. I. Krylov
Publisher: Courier Corporation
ISBN: 048615467X
Category : Mathematics
Languages : en
Pages : 372
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Book Description
An introduction to the principal ideas and results of the contemporary theory of approximate integration, this volume approaches its subject from the viewpoint of functional analysis. The 3-part treatment begins with concepts and theorems encountered in the theory of quadrature and then explores the problem of calculation of definite integrals and methods for the calculation of indefinite integral. 1962 edition.
Author: George McCarty
Publisher:
ISBN:
Category : Calculators
Languages : en
Pages : 254
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Book Description
Author: Nancy Baxter Hastings
Publisher: Springer Science & Business Media
ISBN: 0387216243
Category : Mathematics
Languages : en
Pages : 437
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Book Description
Based on the popular "Workshop Approach", which has been hailed by the community for its hands on approach, these new versions of the popular Workshop Calculus allow the easy incorporation of a graphing calculator. Like the originals, these volumes cover topics in calculus while simultaneously reviewing precalculus concepts. Activities, experiments, and exercises are found throughout.
Author: Maurice D. Weir
Publisher: Prentice Hall
ISBN: 9780131119307
Category : Computers
Languages : en
Pages : 406
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Book Description
Author: Nancy Baxter Hastings
Publisher: Springer Science & Business Media
ISBN: 9780387946115
Category : Mathematics
Languages : en
Pages : 420
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Book Description
Workshop Calculus: Guided Exploration with Review integrates a review of basic pre-calculus concepts with the study of concepts encountered in a traditional first semester calculus course - functions, limits, derivatives, integrals, and an introduction to integration techniques. This two-course sequence is designed for students who are not prepared to enter Calculus I, but who need to develop mathematical skills for further study in the social sciences, natural sciences, or mathematics. The primary goal of the course is to help students develop firm conceptual understandings of the fundamental ideas in calculus, thereby enabling them to use calculus in other disciplines. Essential elements of Workshop Calculus include the emphasis on applications to enhance student motivation and the use of computers amd graphing calculators to help explore mathematical ideas.
Author: Frank Ward
Publisher: Pearson
ISBN:
Category : Mathematics
Languages : en
Pages : 308
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Book Description
For calculus courses requiring the use of graphing calculators. The main purpose of the projects in this book is to help students gain a better understanding of calculus through a guided discovery approach. The book is designed to help students develop the skills of thinking analytically, recognizing patterns, forming conclusions, and organizing results in a clear manner.
Author: Deborah Hughes-Hallett
Publisher: Wiley
ISBN: 9780471031628
Category : Mathematics
Languages : en
Pages : 104
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Book Description
An innovative text that emphasizes the graphical, numerical and analytical aspects of calculus throughout and often asks students to explain ideas using words. This problem driven text introduces topics with a real-world problem and derives the general results from it. It can be used with any technology that can graph and find definite integrals numerically. The derivative, the integral, differentiation, and differential equations are among the topics covered.
Author: Ruric Wheeler
Publisher: Wiley
ISBN: 9780471057215
Category : Mathematics
Languages : en
Pages : 574
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Book Description
This user friendly, mathematically sound focuses on using the graphing calculator to explore new ideas which are validated by calculus methods, to create concepts using calculus and then support them with numerical or graphical techniques and to work a problem numerically or graphically because it cannot be solved by calculus procedures.
