You are here: Home / Shop / Product Detail Page |

## Excursions in Calculus: An Interplay of the Continuous and the Discrete (Softcover)"The purpose of this book is to explore—within the context of elementary calculus—the rich and elegant interplay that exists between the two main currents of mathematics, the continuous and the discrete." — From the back cover ## $36.99 |

### Need More Info?

Please contact us if you've got questions about this product.## Condition

**VERY GOOD:** This book is in very good condition, showing only slight signs of use and wear.

## Description

This book is Number 13 in the **Dolciani Mathematical Expositions** series from The Mathematical Association of America.

Continued from the back cover: “Such fundamental notions of discrete mathematics is induction, recursion, combinatorics, number theory, discrete probability and the algorithmic point of view as a unifying principle are continually explored as they interact with traditional calculus. The interaction enriches both.

“As the topics and applications will show, much of the material has never been presented at this level. The book is addressed primarily to well-trained calculus students and those who teach them, but it can serve as a supplement to a traditional calculus course for anyone, teacher and student alike.

“The problems, taken for the most part from probability, analysis and number theory, are an integral part of the text. Many point the reader toward further excursions. There are over 400 problems presented in this book.”

**Chapters**

- Infinite Ascent, Infinite Descent: The Principle of Mathematical Induction
- Patterns, Polynomials, and Primes: Three Applications of the Binomial Theorem
- Fibonacci Numbers: Function and Form
- On the Average
- Approximation: From Pi to the Prime Number Theorem
- Infinite Sums: A Potpourri

The book ends with “Appendix: The Congruence Notation,” “References,” “Sources for Solutions,” and “Index.”

## Details

- SKU:
- 2659
- Subject:
- Calculus
- Author:
- Young, Robert M.
- Publisher:
- The Mathematical Association of America
- Publish Date:
- 1992 (Third Printing)
- Format:
- Softcover
- Weight (pounds):
- 1.38
- Dimensions (W”xL”xH”):
- 6.25″x9.25″x0.9″
- ISBN-13:
- 9780883853177
- ISBN-10:
- 0883853175
- Grade Level:
- College
- Series:
- Dolciani Mathematical Expositions

## Related Products

### Products related to "Excursions in Calculus: An Interplay of the Continuous and the Discrete (Softcover)"

- Views:

#### Introduction to The Theory of Distributions, Second Edition (Hardback)

$99.95

This book is "... a very clear, accurate and stimulating version of an important topic, with the emphasis in the right place and with the minimum of fuss." — Review of the first edition in

*Bulletin of the London Mathematical Society*#### Introduction to Symmetry Analysis (Softcover with CD-ROM)

$74.79

"Symmetry analysis based on Lie group theory is the most important method for solving nonlinear problems aside from numerical computation. ... The text emphasizes applications, and numerous worked examples are used to illustrate basic concepts." — From the back cover

#### Quaternions and Rotation Sequences: A Primer with Applications to Orbits, Aerospace, and Virtual Reality (Hardback)

$71.59

"Ever since the Irish mathematician William Rowan Hamilton introduced quaternions in the nineteenth century—a feat he celebrated by carving the founding equations into a stone bridge—mathematicians and engineers have been fascinated by these mathematical objects." — From the back cover

#### Numerical Solution of Stochastic Differential Equations (Hardback)

$71.49

"The book provides an introduction to stochastic calculus and stochastic differential equations, in both theory and applications, emphasising the numerical methods needed to solve such equations." — From the back cover

#### Differential Geometry of Curves and Surfaces (Hardback)

$67.59

"Although there is enough material in the book for a full-year course (or a topics course), we tried to make the book suitable for a first course on differential geometry for students with some background in linear algebra and advanced calculus." — From "Some Remarks on Using This Book" (page vii)

#### Universitext: The Calculus of Variations (Hardback)

$52.95

"This book is an introductory account of the calculus of variations suitable for advanced undergraduate and graduate students of mathematics, physics, or engineering. The mathematical background assumed of the reader is a course in multivariable calculus, and some familiarity with the elements of real analysis and ordinary differential equations." — From the back cover

#### Diffusions, Markov Processes and Martingales: Volume 2, Itô Calculus, Second Edition (Softcover)

$52.29

"Now available in paperback, this celebrated book has been prepared with readers' needs in mind, remaining a systematic treatment of the subject whilst retaining its vitality. This second volume follows on from the first, concentrating on stochastic integrals, stochastic differential equations, excursion theory and the general theory of processes." — From the back cover

#### Introduction to Applied Mathematics (Hardback)

$51.99

"It is a pleasure to teach a subject when it is moving forward, and this one is—but the book has to share in that spirit and help to establish it. ... This book is a text for applied mathematics and advanced calculus and engineering mathematics. It aims to explain what is essential, as far as possible within one book and one year. It also reaches beyond the usual courses, to introduce more recent ideas..." — Gilbert Strang, Author, in the Preface

#### Elements of Large-Sample Theory (Hardback)

$50.95

"

*Elements of Large-Sample Theory*provides a unified treatment of first-order large-sample theory. It discusses a broad range of applications including introductions to density estimation, the bootstrap, and the asymptotics of survey methodology. The book is written at an elementary level and is suitable for students at the master's level in statistics and in applied fields who have a background of two years of calculus." — From the back cover#### Classical Mechanics: Theory and Mathematical Modeling (Hardcover)

$49.95

"Classical mechanics is a chief example of the scientific method organizing a 'complex' collection of information into theoretically rigorous, unifying principles; in this sense, mechanics represents one of the highest forms of mathematical modeling. This textbook covers standard topics of a mechanics course, namely, the mechanics of rigid bodies, Lagrangian and Hamiltonian formalism, stability and small oscillations, an introduction to celestial mechanics, and Hamilton-Jacobi theory, but at the same time features unique examples—such as the spinning top including friction and gyroscopic compass—seldom appearing in this context. In addition, variational principles like Lagrangian and Hamiltonian dynamics are treated in great detail." — From the back cover

#### Combinatorics: A Guided Tour (Hardback)

$49.95

This textbook can be used for undergraduate courses in combinatorics, second courses in discrete mathematics, introductory graduate courses in applied mathematics programs, and self-study.

#### Optimal Control and the Calculus of Variations (Softcover)

$48.29

"This book provides the core material for undergraduate courses on optimal control, the modern development that has grown out of the calculus of variations and classical optimization theory. It is ideally suited to the needs of final year undergraduates, but will also be useful to engineers and scientists with an interest in the subject." — From the back cover

#### Stochastic Calculus and Financial Applications (Hardback)

$48.29

"This book is designed for students who want to develop professional skills in the stochastic calculus and its application to problems in finance. The Wharton School course on which the book is based is designed for energetic students who have had some experience with probability and statistics, but who have not had advanced courses in stochastic processes." — From the back cover

#### An Invitation to Modern Number Theory (Hardback)

$47.49

"In a manner accessible to beginning undergraduates,

*An Invitation to Modern Number Theory*introduces many of the central problems, conjectures, results, and techniques of the field, such as the Riemann Hypothesis, Roth's Theorem, the Circle Method, and Random Matrix Theory." — From the back cover#### Interior Point Methods for Linear Optimization, Second Edition (Hardback)

$46.59

"Linear Optimization (LO) is one of the most widely applied and taught techniques in mathematics, with applications in many areas of science, commerce and industry. The dramatically increased interest in the subject is due mainly to advances in computer technology and the development of Interior Point Methods (IPMs) for LO." — From the back cover

#### Neural Networks for Pattern Recognition (Softcover)

$44.95

"This book is aimed at researchers in neural computing as well as those wishing to apply neural networks to practical applications. It is also intended to be used as the primary text for a graduate-level, or advanced undergraduate-level course on neural networks. In this case the book should be used sequentially, and care has been taken to ensure that where possible the material in any particular chapter depends only on concepts developed in earlier chapters." — From the Preface (page x)

#### Student Mathematical Library, Volume 46: Lectures on Surfaces: (Almost) Everything You Wanted to Know about Them (Softcover)

$39.59

"The assumed background is the standard calculus sequence, some linear algebra, and rudiments of ODE and real analysis. All notions are introduced and discussed, and virtually all results proved, based on this background." — From the back cover

#### Handbook of Mathematics and Computational Science (Hardback)

$39.50

"The Harris and Stocker Handbook of Mathematics and Computation Science is a complete desk-top reference for working scientists, engineers, and students. It serves as a veritable math toolbox for rapid access to a wealth of mathematics information for everyday use in problem solving, homework, examinations, etc." — From the back cover

#### Uncommon Mathematical Excursions: Polynomia and Related Realms (Hardback)

$39.47

"

*Uncommon Mathematical Excursions*is for anyone who knows and appreciates the basics of algebra, geometry, and calculus, and would like to learn more." — From the back cover#### The Cauchy-Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities (Softcover)

$33.25

"This lively, problem-oriented text is designed to coach readers toward mastery of the most fundamental mathematical inequalities. With the Cauchy-Schwarz inequality as the initial guide, the reader is led through a sequence of fascinating problems whose solutions are presented as they might have been discovered—either by one of history's famous mathematicians or by the reader." — From the back cover