# calculus a liberal art undergraduate texts in mathematics

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## Calculus A Liberal Art

**Author :**W.M. Priestley

**ISBN :**9781461216582

**Genre :**Mathematics

**File Size :**37. 15 MB

**Format :**PDF, Kindle

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Presenting mathematics as forming a natural bridge between the humanities and the sciences, this book makes calculus accessible to those in the liberal arts. Much of the necessary geometry and algebra are exposed through historical development, and a section on the development of calculus offers insights into the place of mathematics in the history of thought.

## Short Calculus

**Author :**Serge Lang

**ISBN :**9781461300779

**Genre :**Mathematics

**File Size :**47. 93 MB

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From the reviews "This is a reprint of the original edition of Lang’s ‘A First Course in Calculus’, which was first published in 1964....The treatment is ‘as rigorous as any mathematician would wish it’....[The exercises] are refreshingly simply stated, without any extraneous verbiage, and at times quite challenging....There are answers to all the exercises set and some supplementary problems on each topic to tax even the most able." --Mathematical Gazette

## Discrete Mathematics

**Author :**L. Lovász

**ISBN :**0387955852

**Genre :**Mathematics

**File Size :**27. 44 MB

**Format :**PDF

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Aimed at undergraduate mathematics and computer science students, this book is an excellent introduction to a lot of problems of discrete mathematics. It discusses a number of selected results and methods, mostly from areas of combinatorics and graph theory, and it uses proofs and problem solving to help students understand the solutions to problems. Numerous examples, figures, and exercises are spread throughout the book.

## Counting The Art Of Enumerative Combinatorics

**Author :**George E. Martin

**ISBN :**038795225X

**Genre :**Mathematics

**File Size :**42. 86 MB

**Format :**PDF

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This book provides an introduction to discrete mathematics. At the end of the book the reader should be able to answer counting questions such as: How many ways are there to stack n poker chips, each of which can be red, white, blue, or green, such that each red chip is adjacent to at least 1 green chip? The book can be used as a textbook for a semester course at the sophomore level. The first five chapters can also serve as a basis for a graduate course for in-service teachers.

## Undergraduate Algebra

**Author :**Serge Lang

**ISBN :**038797279X

**Genre :**Mathematics

**File Size :**22. 63 MB

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The companion title, Linear Algebra, has sold over 8,000 copies The writing style is very accessible The material can be covered easily in a one-year or one-term course Includes Noah Snyder's proof of the Mason-Stothers polynomial abc theorem New material included on product structure for matrices including descriptions of the conjugation representation of the diagonal group

## Newsletter

**Author :**New Zealand Mathematical Society

**ISBN :**UOM:39015049358339

**Genre :**Mathematics

**File Size :**37. 22 MB

**Format :**PDF

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## Mathematics For The Liberal Arts

**Author :**Donald Bindner

**ISBN :**9781118371749

**Genre :**Mathematics

**File Size :**90. 71 MB

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Presents a clear bridge between mathematics and the liberal arts Mathematics for the Liberal Arts provides a comprehensible and precise introduction to modern mathematics intertwined with the history of mathematical discoveries. The book discusses mathematical ideas in the context of the unfolding story of human thought and highlights the application of mathematics in everyday life. Divided into two parts, Mathematics for the Liberal Arts first traces the history of mathematics from the ancient world to the Middle Ages, then moves on to the Renaissance and finishes with the development of modern mathematics. In the second part, the book explores major topics of calculus and number theory, including problem-solving techniques and real-world applications. This book emphasizes learning through doing, presents a practical approach, and features: A detailed explanation of why mathematical principles are true and how the mathematical processes work Numerous figures and diagrams as well as hundreds of worked examples and exercises, aiding readers to further visualize the presented concepts Various real-world practical applications of mathematics, including error-correcting codes and the space shuttle program Vignette biographies of renowned mathematicians Appendices with solutions to selected exercises and suggestions for further reading Mathematics for the Liberal Arts is an excellent introduction to the history and concepts of mathematics for undergraduate liberal arts students and readers in non-scientific fields wishing to gain a better understanding of mathematics and mathematical problem-solving skills.

## Calculus A Historical Approach

**Author :**W.M. Priestley

**ISBN :**9781468493498

**Genre :**Mathematics

**File Size :**69. 65 MB

**Format :**PDF, Mobi

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This book is for students being introduced to calculus, and it covers the usual topics, but its spirit is different from wh at might be expected. Though the approach is basically historical in nature, emphasis is put upon ideas and their place-not upon events and their dates. Its purpose is to have students to learn calculus first, and to learn incidentally something about the nature of mathematics. Somewhat to the surprise of its author, the book soon became animated by a spirit of opposition to the darkness that separates the sciences from the humanities. To fight the speil of that darkness anything at hand is used, even a few low tricks or bad jokes that seemed to offer a slight promise of success. To lighten the darkness, to illuminate some of the common ground shared by the two cultures, is a goal that justifies almost any means. It is possible that this approach may make calculus more fun as weil. Whereas the close ties of mathematics to the sciences are weil known, the ties binding mathematics to the humanities are rarely noticed. The result is a distorted view of mathematics, placing it outside the mainstream of liberal arts studies. This book tries to suggest gently, from time to time, where a kinship between mathematics and the humanities may be found.

## An Introduction To Difference Equations

**Author :**Saber Elaydi

**ISBN :**0387988300

**Genre :**Mathematics

**File Size :**55. 81 MB

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This book integrates both classical and modern treatments of difference equations. It contains the most updated material as well as a large set of applications to a variety of disciplines. Scientists and engineers who are interested in discrete mathematical models will find it useful as a reference. The presentation is also simple enough for use by advanced undergraduates. This second edition includes new sections on applications to mathematical biology, Birkhoff's theory, continued fractions and orthogonal polynomials, and many revised exercises.

## Introduction To College Mathematics With A Programming Language

**Author :**Edward J. LeCuyer

**ISBN :**9781461394228

**Genre :**Mathematics

**File Size :**20. 60 MB

**Format :**PDF, ePub

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The topics covered in this text are those usually covered in a full year's course in finite mathematics or mathematics for liberal arts students. They correspond very closely to the topics I have taught at Western New England College to freshmen business and liberal arts students. They include set theory, logic, matrices and determinants, functions and graph ing, basic differential and integral calculus, probability and statistics, and trigonometry. Because this is an introductory text, none of these topics is dealt with in great depth. The idea is to introduce the student to some of the basic concepts in mathematics along with some of their applications. I believe that this text is self-contained and can be used successfully by any college student who has completed at least two years of high school mathematics including one year of algebra. In addition, no previous knowledge of any programming language is necessary. The distinguishing feature of this text is that the student is given the opportunity to learn the mathematical concepts via A Programming Lan guage (APL). APL was developed by Kenneth E. Iverson while he was at Harvard University and was presented in a book by Dr. Iverson entitled A i Programming Language in 1962. He invented APL for educational purpo ses. That is, APL was designed to be a consistent, unambiguous, and powerful notation for communicating mathematical ideas. In 1966, APL became available on a time-sharing system at IBM.