Calculus Concepts And Methods

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Calculus: Concepts and Methods

Ken Binmore,Joan Davies
Calculus Concepts and Methods Book PDF

Author : Ken Binmore,Joan Davies
Publisher : Cambridge University Press
Page : 128 pages
File Size : 51,8 Mb
Release : 2002-02-07
Category : Mathematics
ISBN : 9781139643627

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Calculus: Concepts and Methods by Ken Binmore,Joan Davies Pdf

The pebbles used in ancient abacuses gave their name to the calculus, which today is a fundamental tool in business, economics, engineering and the sciences. This introductory book takes readers gently from single to multivariate calculus and simple differential and difference equations. Unusually the book offers a wide range of applications in business and economics, as well as more conventional scientific examples. Ideas from univariate calculus and linear algebra are covered as needed, often from a new perspective. They are reinforced in the two-dimensional case, which is studied in detail before generalisation to higher dimensions. Although there are no theorems or formal proofs, this is a serious book in which conceptual issues are explained carefully using numerous geometric devices and a wealth of worked examples, diagrams and exercises. Mathematica has been used to generate many beautiful and accurate, full-colour illustrations to help students visualise complex mathematical objects. This adds to the accessibility of the text, which will appeal to a wide audience among students of mathematics, economics and science.

Calculus: Concepts and Methods

K. G. Binmore,Joan Davies
Calculus Concepts and Methods Book PDF

Author : K. G. Binmore,Joan Davies
Publisher : Cambridge University Press
Page : 574 pages
File Size : 52,8 Mb
Release : 2001
Category : Business & Economics
ISBN : 0521775418

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Calculus: Concepts and Methods by K. G. Binmore,Joan Davies Pdf

A gentle, thorough and beautifully illustrated introduction to calculus for students from a range of disciplines.

Advanced Calculus

Lynn Harold Loomis,Shlomo Sternberg
Advanced Calculus Book PDF

Author : Lynn Harold Loomis,Shlomo Sternberg
Publisher : World Scientific Publishing Company
Page : 596 pages
File Size : 54,5 Mb
Release : 2014-02-26
Category : Mathematics
ISBN : 9789814583954

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Advanced Calculus by Lynn Harold Loomis,Shlomo Sternberg Pdf

An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades. This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis. The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives. In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.

Calculus Made Easy

Silvanus Phillips Thompson
Calculus Made Easy Book PDF

Author : Silvanus Phillips Thompson
Publisher : Read Books Ltd
Page : 233 pages
File Size : 47,9 Mb
Release : 2011-03-23
Category : Mathematics
ISBN : 9781446547724

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Calculus Made Easy by Silvanus Phillips Thompson Pdf

Calculus Made Easy by Silvanus Phillips Thompson is an accessible and engaging introduction to the fundamental principles of calculus, offering readers a clear and simplified approach to understanding this essential branch of mathematics. Calculus Made Easy by Silvanus Phillips Thompson is a timeless classic that makes the complex world of calculus accessible to students and learners of all levels. This book serves as a comprehensive guide to the core concepts and techniques of calculus, presented in a manner that is easy to grasp and enjoyable to read. The book begins by providing readers with a user-friendly introduction to the basic principles of calculus, offering insights into its historical development and significance in mathematics and science. Silvanus Phillips Thompson's clear and engaging explanations set the stage for a deeper exploration of this essential subject. Central to the book is the presentation of calculus concepts, including differentiation and integration, in a simplified and intuitive manner. Readers will find practical examples, step-by-step explanations, and exercises that facilitate learning and problem-solving. Furthermore, the book emphasizes the real-world applications of calculus, illustrating how it is used in various fields, from physics and engineering to economics and biology. It highlights the practical relevance of calculus in solving everyday problems and making informed decisions. Calculus Made Easy is not only a textbook but also a friendly companion on the journey to mastering calculus. It encourages readers to overcome the fear of complex mathematics and discover the beauty and utility of calculus in a straightforward and enjoyable way.

Mathematics for Physicists

Alexander Altland,Jan von Delft
Mathematics for Physicists Book PDF

Author : Alexander Altland,Jan von Delft
Publisher : Cambridge University Press
Page : 723 pages
File Size : 55,7 Mb
Release : 2019-02-14
Category : Mathematics
ISBN : 9781108471220

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Mathematics for Physicists by Alexander Altland,Jan von Delft Pdf

Introduces fundamental concepts and computational methods of mathematics from the perspective of physicists.

Calculus Made Easy - Being a Very-Simplest Introduction to Those Beautiful Methods of Reckoning Which Are Generally Called by the TERRIFYING NAMES of the Differential Calculus and the Integral Calculus

Silvanus Thompson
Calculus Made Easy Being a Very Simplest Introduction to Those Beautiful Methods of Reckoning Which Are Generally Called by the TERRIFYING NAMES of the Differential Calculus and the Integral Calculus Book PDF

Author : Silvanus Thompson
Publisher : Lulu.com
Page : 280 pages
File Size : 40,8 Mb
Release : 2018-09-12
Category : Electronic
ISBN : 9780359077977

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Calculus Made Easy - Being a Very-Simplest Introduction to Those Beautiful Methods of Reckoning Which Are Generally Called by the TERRIFYING NAMES of the Differential Calculus and the Integral Calculus by Silvanus Thompson Pdf

From the PROLOGUE. CONSIDERING how many fools can calculate, it is surprising that it should be thought either a difficult or a tedious task for any other fool to learn how to master the same tricks. Some calculus-tricks are quite easy. Some are enormously difficult. The fools who write the textbooks of advanced mathematics -- and they are mostly clever fools -- seldom take the trouble to show you how easy the easy calculations are. On the contrary, they seem to desire to impress you with their tremendous cleverness by going about it in the most difficult way. Being myself a remarkably stupid fellow, I have had to unteach myself the difficulties, and now beg to present to my fellow fools the parts that are not hard. Master these thoroughly, and the rest will follow. What one fool can do, another can.

Methods of Mathematics Applied to Calculus, Probability, and Statistics

Richard W. Hamming
Methods of Mathematics Applied to Calculus Probability and Statistics Book PDF

Author : Richard W. Hamming
Publisher : Courier Corporation
Page : 882 pages
File Size : 49,8 Mb
Release : 2012-06-28
Category : Mathematics
ISBN : 9780486138879

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Methods of Mathematics Applied to Calculus, Probability, and Statistics by Richard W. Hamming Pdf

This 4-part treatment begins with algebra and analytic geometry and proceeds to an exploration of the calculus of algebraic functions and transcendental functions and applications. 1985 edition. Includes 310 figures and 18 tables.

Fast Start Integral Calculus

Daniel Ashlock
Fast Start Integral Calculus Book PDF

Author : Daniel Ashlock
Publisher : Springer Nature
Page : 198 pages
File Size : 46,9 Mb
Release : 2022-05-31
Category : Mathematics
ISBN : 9783031024214

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Fast Start Integral Calculus by Daniel Ashlock Pdf

This book introduces integrals, the fundamental theorem of calculus, initial value problems, and Riemann sums. It introduces properties of polynomials, including roots and multiplicity, and uses them as a framework for introducing additional calculus concepts including Newton's method, L'Hôpital's Rule, and Rolle's theorem. Both the differential and integral calculus of parametric, polar, and vector functions are introduced. The book concludes with a survey of methods of integration, including u-substitution, integration by parts, special trigonometric integrals, trigonometric substitution, and partial fractions.

Calculus

K. G. Binmore
Calculus Book PDF

Author : K. G. Binmore
Publisher : Unknown
Page : 488 pages
File Size : 45,6 Mb
Release : 1983
Category : Mathematics
ISBN : 0521247713

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Calculus by K. G. Binmore Pdf

This book is concerned with the calculus of several variables and provides an introduction to elementary differential and difference equations. The emphasis is on practical problem-solving rather than the proof of formal theorems. Many worked examples are supplied as well as problems for the student to solve, together with their solutions. The techniques are illustrated with applications drawn chiefly from economics, statistics and operational research. Some elementary knowledge of the calculus of one variable is assumed but revision material is supplied throughout the text. A confident approach to problem-solving is not possible without some understanding of the background theory. In this book the theory is presented systematically but informally. Wherever possible, geometric arguments are used and the text is illustrated with numerous diagrams. Particular care has been taken to make the main body of the text suitable for students who are studying independently of a taught course. The book will interest students at universities and other higher education institutions. At the London School of Economics, the course on which this book is based is attended by students reading for a variety of different degrees and with a wide disparity in their previous levels of mathematical training. Some are graduates and some are first-year undergraduates. It is hoped that this book will attract a similar audience: not only of economists, statisticians and other social scientists but also physical scientists, engineers and mathematicians.

Teaching and Learning of Calculus

David Bressoud,Imène Ghedamsi,Victor Martinez-Luaces,Günter Törner
Teaching and Learning of Calculus Book PDF

Author : David Bressoud,Imène Ghedamsi,Victor Martinez-Luaces,Günter Törner
Publisher : Springer
Page : 44 pages
File Size : 50,6 Mb
Release : 2016-06-14
Category : Education
ISBN : 9783319329758

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Teaching and Learning of Calculus by David Bressoud,Imène Ghedamsi,Victor Martinez-Luaces,Günter Törner Pdf

This survey focuses on the main trends in the field of calculus education. Despite their variety, the findings reveal a cornerstone issue that is strongly linked to the formalism of calculus concepts and to the difficulties it generates in the learning and teaching process. As a complement to the main text, an extended bibliography with some of the most important references on this topic is included. Since the diversity of the research in the field makes it difficult to produce an exhaustive state-of-the-art summary, the authors discuss recent developments that go beyond this survey and put forward new research questions.

Advanced Calculus of Several Variables

C. H. Edwards
Advanced Calculus of Several Variables Book PDF

Author : C. H. Edwards
Publisher : Academic Press
Page : 470 pages
File Size : 41,9 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483268057

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Advanced Calculus of Several Variables by C. H. Edwards Pdf

Advanced Calculus of Several Variables provides a conceptual treatment of multivariable calculus. This book emphasizes the interplay of geometry, analysis through linear algebra, and approximation of nonlinear mappings by linear ones. The classical applications and computational methods that are responsible for much of the interest and importance of calculus are also considered. This text is organized into six chapters. Chapter I deals with linear algebra and geometry of Euclidean n-space Rn. The multivariable differential calculus is treated in Chapters II and III, while multivariable integral calculus is covered in Chapters IV and V. The last chapter is devoted to venerable problems of the calculus of variations. This publication is intended for students who have completed a standard introductory calculus sequence.

Mathematics for Economics and Finance

Martin Anthony,Norman Biggs
Mathematics for Economics and Finance Book PDF

Author : Martin Anthony,Norman Biggs
Publisher : Cambridge University Press
Page : 128 pages
File Size : 49,5 Mb
Release : 1996-07-13
Category : Mathematics
ISBN : 9781139643269

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Mathematics for Economics and Finance by Martin Anthony,Norman Biggs Pdf

Mathematics has become indispensable in the modelling of economics, finance, business and management. Without expecting any particular background of the reader, this book covers the following mathematical topics, with frequent reference to applications in economics and finance: functions, graphs and equations, recurrences (difference equations), differentiation, exponentials and logarithms, optimisation, partial differentiation, optimisation in several variables, vectors and matrices, linear equations, Lagrange multipliers, integration, first-order and second-order differential equations. The stress is on the relation of maths to economics, and this is illustrated with copious examples and exercises to foster depth of understanding. Each chapter has three parts: the main text, a section of further worked examples and a summary of the chapter together with a selection of problems for the reader to attempt. For students of economics, mathematics, or both, this book provides an introduction to mathematical methods in economics and finance that will be welcomed for its clarity and breadth.

Calculus

Gilbert Strang
Calculus Book PDF

Author : Gilbert Strang
Publisher : Wellesley-Cambridge Press
Page : 500 pages
File Size : 49,7 Mb
Release : 2017-09-14
Category : Mathematics
ISBN : 0980232759

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Calculus by Gilbert Strang Pdf

Gilbert Strang's clear, direct style and detailed, intensive explanations make this textbook ideal as both a course companion and for self-study. Single variable and multivariable calculus are covered in depth. Key examples of the application of calculus to areas such as physics, engineering and economics are included in order to enhance students' understanding. New to the third edition is a chapter on the 'Highlights of calculus', which accompanies the popular video lectures by the author on MIT's OpenCourseWare. These can be accessed from math.mit.edu/~gs.

Calculus

Gilbert Strang,Edwin Prine Herman
Calculus Book PDF

Author : Gilbert Strang,Edwin Prine Herman
Publisher : Unknown
Page : 824 pages
File Size : 51,8 Mb
Release : 2016-03-07
Category : Calculus
ISBN : 1938168062

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Calculus by Gilbert Strang,Edwin Prine Herman Pdf

"Published by OpenStax College, 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 2 covers integration, differential equations, sequences and series, and parametric equations and polar coordinates."--BC Campus website.

Calculus of Variations

I. M. Gelfand,S. V. Fomin
Calculus of Variations Book PDF

Author : I. M. Gelfand,S. V. Fomin
Publisher : Courier Corporation
Page : 240 pages
File Size : 46,9 Mb
Release : 2012-04-26
Category : Mathematics
ISBN : 9780486135014

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Calculus of Variations by I. M. Gelfand,S. V. Fomin Pdf

Fresh, lively text serves as a modern introduction to the subject, with applications to the mechanics of systems with a finite number of degrees of freedom. Ideal for math and physics students.