Calculus: Concepts and Methods

Author: Ken Binmore
Publisher: Cambridge University Press
ISBN: 1139643622
Category : Mathematics
Languages : en
Pages : 574

Book Description
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.

Methods of Mathematics Applied to Calculus, Probability, and Statistics

Author: Richard W. Hamming
Publisher: Courier Corporation
ISBN: 0486138879
Category : Mathematics
Languages : en
Pages : 882

Book Description
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.

Calculus

Author: Ken Binmore
Publisher:
ISBN:
Category :
Languages : en
Pages : 568

Calculus

Author: K. G. Binmore
Publisher:
ISBN: 9780521247719
Category : Mathematics
Languages : en
Pages : 488

Book Description
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.

Introduction to the Calculus of Variations

Author: Hans Sagan
Publisher: Courier Corporation
ISBN: 048613802X
Category : Mathematics
Languages : en
Pages : 484

Book Description
Provides a thorough understanding of calculus of variations and prepares readers for the study of modern optimal control theory. Selected variational problems and over 400 exercises. Bibliography. 1969 edition.

Calculus

Author: Mehdi Rahmani-Andebili
Publisher: Springer Nature
ISBN: 3030649806
Category : Technology & Engineering
Languages : en
Pages : 159

Book Description
This study guide is designed for students taking courses in calculus. The textbook includes practice problems that will help students to review and sharpen their knowledge of the subject and enhance their performance in the classroom. Offering detailed solutions, multiple methods for solving problems, and clear explanations of concepts, this hands-on guide will improve student’s problem-solving skills and basic understanding of the topics covered in their calculus courses. Exercises cover a wide selection of basic and advanced questions and problems; Categorizes and orders the problems based on difficulty level, hence suitable for both knowledgeable and under-prepared students; Provides detailed and instructor-recommended solutions and methods, along with clear explanations; Can be used along with core calculus textbooks.

Mathematics for Physicists

Author: Alexander Altland
Publisher: Cambridge University Press
ISBN: 1108651151
Category : Science
Languages : en
Pages : 723

Book Description
This textbook is a comprehensive introduction to the key disciplines of mathematics - linear algebra, calculus, and geometry - needed in the undergraduate physics curriculum. Its leitmotiv is that success in learning these subjects depends on a good balance between theory and practice. Reflecting this belief, mathematical foundations are explained in pedagogical depth, and computational methods are introduced from a physicist's perspective and in a timely manner. This original approach presents concepts and methods as inseparable entities, facilitating in-depth understanding and making even advanced mathematics tangible. The book guides the reader from high-school level to advanced subjects such as tensor algebra, complex functions, and differential geometry. It contains numerous worked examples, info sections providing context, biographical boxes, several detailed case studies, over 300 problems, and fully worked solutions for all odd-numbered problems. An online solutions manual for all even-numbered problems will be made available to instructors.

Calculus Made Easy

Author: Silvanus Phillips Thompson
Publisher:
ISBN:
Category : Calculus
Languages : en
Pages : 200

Book Description

Calculus for Engineering Students

Author: Jesus Martin Vaquero
Publisher: Academic Press
ISBN: 0128172118
Category : Mathematics
Languages : en
Pages : 372

Book Description
Calculus for Engineering Students: Fundamentals, Real Problems, and Computers insists that mathematics cannot be separated from chemistry, mechanics, electricity, electronics, automation, and other disciplines. It emphasizes interdisciplinary problems as a way to show the importance of calculus in engineering tasks and problems. While concentrating on actual problems instead of theory, the book uses Computer Algebra Systems (CAS) to help students incorporate lessons into their own studies. Assuming a working familiarity with calculus concepts, the book provides a hands-on opportunity for students to increase their calculus and mathematics skills while also learning about engineering applications. Organized around project-based rather than traditional homework-based learning Reviews basic mathematics and theory while also introducing applications Employs uniform chapter sections that encourage the comparison and contrast of different areas of engineering

Calculus of Variations

Author: I. M. Gelfand
Publisher: Courier Corporation
ISBN: 0486135012
Category : Mathematics
Languages : en
Pages : 260

Book Description
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.