# 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 :**32. 53 MB

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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.

## Calculus A Historical Approach

**Author :**W.M. Priestley

**ISBN :**9781468493498

**Genre :**Mathematics

**File Size :**46. 23 MB

**Format :**PDF, Docs

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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.

## Mathematics For The Liberal Arts

**Author :**Donald Bindner

**ISBN :**9781118371749

**Genre :**Mathematics

**File Size :**27. 25 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.

## A First Course In Calculus

**Author :**Serge Lang

**ISBN :**9781441985323

**Genre :**Mathematics

**File Size :**86. 48 MB

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This fifth edition of Lang's book covers all the topics traditionally taught in the first-year calculus sequence. Divided into five parts, each section of A FIRST COURSE IN CALCULUS contains examples and applications relating to the topic covered. In addition, the rear of the book contains detailed solutions to a large number of the exercises, allowing them to be used as worked-out examples -- one of the main improvements over previous editions.

## Second Year Calculus

**Author :**David M. Bressoud

**ISBN :**9781461209591

**Genre :**Mathematics

**File Size :**40. 5 MB

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Second Year Calculus: From Celestial Mechanics to Special Relativity covers multi-variable and vector calculus, emphasizing the historical physical problems which gave rise to the concepts of calculus. The book guides us from the birth of the mechanized view of the world in Isaac Newton's Mathematical Principles of Natural Philosophy in which mathematics becomes the ultimate tool for modelling physical reality, to the dawn of a radically new and often counter-intuitive age in Albert Einstein's Special Theory of Relativity in which it is the mathematical model which suggests new aspects of that reality. The development of this process is discussed from the modern viewpoint of differential forms. Using this concept, the student learns to compute orbits and rocket trajectories, model flows and force fields, and derive the laws of electricity and magnetism. These exercises and observations of mathematical symmetry enable the student to better understand the interaction of physics and mathematics.

## The Art Of Mathematics

**Author :**Jerry P. King

**ISBN :**9781489963390

**Genre :**Mathematics

**File Size :**88. 98 MB

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## Introduction To College Mathematics With A Programming Language

**Author :**Edward J. LeCuyer

**ISBN :**9781461394228

**Genre :**Mathematics

**File Size :**27. 62 MB

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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.

## Short Calculus

**Author :**Serge Lang

**ISBN :**9781461300779

**Genre :**Mathematics

**File Size :**59. 94 MB

**Format :**PDF, ePub

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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

## Mathematics For The Liberal Arts

**Author :**Jason I. Brown

**ISBN :**9781466593589

**Genre :**Mathematics

**File Size :**28. 82 MB

**Format :**PDF

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Students See How Far a Little Math Can Take Them in Their Daily Lives Mathematics for the Liberal Arts teaches everyday mathematics topics to non-math majors at the undergraduate level. Through numerous examples and more than 600 exercises, students learn how to use math seamlessly in a variety of practical areas, from conversion factors, statistics, visualization, money, and risk to games, art, music, and humor. The text develops a logical, real-world approach to data and reasoning, showing students how to: Think both analytically and visually about data Use graphics to make a point Make sound monetary and nonmonetary decisions Evaluate risk taking Strategize to win at games Appreciate more fully art, music, and humor Going beyond mere numerics and calculations, this textbook helps students become life-long learners exceeding the confines of a course. They will find that with a little more math, their daily lives will be more productive, understandable, and creative. Web Resource The author’s website provides a number of additional examples, including musical ones. It also offers one-of-a-kind software programs for the art and music material in the book.

## What Is Calculus

**Author :**R Michael Range

**ISBN :**9789814644501

**Genre :**Mathematics

**File Size :**21. 34 MB

**Format :**PDF, ePub

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This unique book provides a new and well-motivated introduction to calculus and analysis, historically significant fundamental areas of mathematics that are widely used in many disciplines. It begins with familiar elementary high school geometry and algebra, and develops important concepts such as tangents and derivatives without using any advanced tools based on limits and infinite processes that dominate the traditional introductions to the subject. This simple algebraic method is a modern version of an idea that goes back to René Descartes and that has been largely forgotten. Moving beyond algebra, the need for new analytic concepts based on completeness, continuity, and limits becomes clearly visible to the reader while investigating exponential functions. The author carefully develops the necessary foundations while minimizing the use of technical language. He expertly guides the reader to deep fundamental analysis results, including completeness, key differential equations, definite integrals, Taylor series for standard functions, and the Euler identity. This pioneering book takes the sophisticated reader from simple familiar algebra to the heart of analysis. Furthermore, it should be of interest as a source of new ideas and as supplementary reading for high school teachers, and for students and instructors of calculus and analysis.