This scarce antiquarian book is included in our special Legacy Reprint Series. In the interest of creating a more extensive selection of rare historical book reprints, we have chosen to reproduce this title even though it may possibly have occasional imperfections such as missing and blurred pages, missing text, poor pictures, markings, dark backgrounds and other reproduction issues beyond our control. Because this work is culturally important, we have made it available as a part of our commitment to protecting, preserving and promoting the world's literature.

This scarce antiquarian book is included in our special Legacy Reprint Series. In the interest of creating a more extensive selection of rare historical book reprints, we have chosen to reproduce this title even though it may possibly have occasional imperfections such as missing and blurred pages, missing text, poor pictures, markings, dark backgrounds and other reproduction issues beyond our control. Because this work is culturally important, we have made it available as a part of our commitment to protecting, preserving and promoting the world's literature.

Designed Specifically To Aid In Reading Mathematical Economics And Statistics - Illustrated, Including Numerous Examples - Chapters: The General Method Of Differentiation - General Theorems Of Differentiation - Differentiation Of The Elementary Functions - Successive Differentiation (Maxima And Minima) - Taylor's Theorem - Integral Calculus - Appendix (Functions Of More Than One Variable).

Intended for students who have already completed a one-year course in elementary calculus, this rigorous two-part treatment advances from functions of one variable to those of several variables. Topics include differentiation, multiple integrals, and line and surface integrals. Complete solutions to all problems appear at the end. 1971 edition.

Of value to mathematicians, physicists, and engineers, this excellent introduction to Radon transform covers both theory and applications, with a rich array of examples and literature that forms a valuable reference. This 1993 edition is a revised and updated version by the author of his pioneering work.

This 1860 classic, written by one of the great mathematicians of the 19th century, was designed as a sequel to his Treatise on Differential Equations (1859). Divided into two sections ("Difference- and Sum-Calculus" and "Difference- and Functional Equations"), and containing more than 200 exercises (complete with answers), Boole discusses: . nature of the calculus of finite differences . direct theorems of finite differences . finite integration, and the summation of series . Bernoulli's number, and factorial coefficients . convergency and divergency of series . difference-equations of the first order . linear difference-equations with constant coefficients . mixed and partial difference-equations . and much more. No serious mathematician's library is complete without A Treatise on the Calculus of Finite Differences. English mathematician and logician GEORGE BOOLE (1814-1864) is best known as the founder of modern symbolic logic, and as the inventor of Boolean algebra, the foundation of the modern field of computer science. His other books include An Investigation of the Laws of Thought (1854).

Now regarded as the bane of many college students' existence, calculus was one of the most important mathematical innovations of the seventeenth century. But a dispute over its discovery sewed the seeds of discontent between two of the greatest scientific giants of all time -- Sir Isaac Newton and Gottfried Wilhelm Leibniz.
Today Newton and Leibniz are generally considered the twin independent inventors of calculus, and they are both credited with giving mathematics its greatest push forward since the time of the Greeks. Had they known each other under different circumstances, they might have been friends. But in their own lifetimes, the joint glory of calculus was not enough for either and each declared war against the other, openly and in secret.
This long and bitter dispute has been swept under the carpet by historians -- perhaps because it reveals Newton and Leibniz in their worst light -- but "The Calculus Wars tells the full story in narrative form for the first time. This vibrant and gripping scientific potboiler ultimately exposes how these twin mathematical giants were brilliant, proud, at times mad and, in the end, completely human.

Publisher's Note: Products purchased from Third Party sellers are not guaranteed by the publisher for quality, authenticity, or access to any online entitlements included with the product. Take the FEAR OUT of Business CalculusBusiness Calculus Demystified clarifies the concepts and processes of calculus and demonstrates their applications to the workplace. Best-selling math author Rhonda Huettenmueller uses the same combination of winning step-by-step teaching techniques and real-world business and mathematical examples that have succeeded with tens of thousands of college students, regardless of their math experience or affinity for the subject. With Business Calculus Demystified, you learn at your own pace. You get explanations that make differentiation and integration -- the main concepts of calculus -- understandable and interesting. This unique self-teaching guide reinforces learning, builds your confidence and skill, and continuously demonstrates your mastery of topics with a wealth of practice problems and detailed solutions throughout, multiple-choice quizzes at the end of each chapter, and a "final exam" that tests your total understanding of business calculus. Learn business calculus for the real world! This self-teaching course conquers confusion with clarity and ease. Get ready to: Get a solid foundation right from the start with a review of algebra Master one idea per section -- develop complete, comfortable understanding of a topic before proceeding to the next Find a well-explained definition of the derivative and its properties; instantaneous rates of change; the power, product, quotient, and chain rules; and layering different formulas Learn methods for maximizing revenue and profit... minimizing cost... and solving other optimizing problems See how to use calculus to sketch graphs Understand implicit differentiation, rational functions, exponents, and logarithm functions -- learn how to use log properties to simplify differentiation Painlessly learn integration formulas and techniques and applications of the integral Take a "final exam" and grade it yourself! Who says business calculus has to be boring? Business Calculus Demystified is a lively and entertaining way to master this essential math subject!

This introductory text offers simple presentations of the fundamentals of nonlinear analysis, with direct proofs and clear applications. Its full treatment ranges from smooth to nonsmooth functions, from convex to nonconvex variational problems, and from economics to mechanics. 1984 edition.

Is there always a prime number between $n$ and $2n$? Where, approximately, is the millionth prime? And just what does calculus have to do with answering either of these questions? It turns out that calculus has a lot to do with both questions, as this book can show you. The theme of the book is approximations. Calculus is a powerful tool because it allows us to approximate complicated functions with simpler ones. Indeed, replacing a function locally with a linear - or higher order - approximation is at the heart of calculus. The real star of the book, though, is the task of approximating the number of primes up to a number $x$. This leads to the famous Prime Number Theorem - and to the answers to the two questions about primes. While emphasizing the role of approximations in calculus, most major topics are addressed, such as derivatives, integrals, the Fundamental Theorem of Calculus, sequences, series, and so on.However, our particular point of view also leads us to many unusual topics: curvature, Pade approximations, public key cryptography, and an analysis of the logistic equation, to name a few. The reader takes an active role in developing the material by solving problems. Most topics are broken down into a series of manageable problems, which guide you to an understanding of the important ideas. There is also ample exposition to fill in background material and to get you thinking appropriately about the concepts. ""Approximately Calculus"" is intended for the reader who has already had an introduction to calculus, but wants to engage the concepts and ideas at a deeper level. It is suitable as a text for an honors or alternative second semester calculus course.

A sequence of 2,400 propositions and problems features only hints. Suitable for advanced undergraduates and graduate students, this unique approach encourages students to work out their own proofs. 1974 edition.

This scarce antiquarian book is a selection from Kessinger Publishings Legacy Reprint Series. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment to protecting, preserving, and promoting the worlds literature. Kessinger Publishing is the place to find hundreds of thousands of rare and hard-to-find books with something of interest for everyone!

A course in analysis dealing essentially with functions of a real variable, this text for upper-level undergraduate students introduces the basic concepts in their simplest setting and proceeds with numerous examples, theorems stated in a practical manner, and coherently expressed proofs. 1955 edition.

Complex analysis is one of the most central subjects in mathematics. It is compelling and rich in its own right, but it is also remarkably useful in a wide variety of other mathematical subjects, both pure and applied. This book is different from others in that it treats complex variables as a direct development from multivariable real calculus. As each new idea is introduced, it is related to the corresponding idea from real analysis and calculus. The text is rich with examples and exercises that illustrate this point. The authors have systematically separated the analysis from the topology, as can be seen in their proof of the Cauchy theorem.The book concludes with several chapters on special topics, including full treatments of special functions, the prime number theorem, and the Bergman kernel. The authors also treat $H^p$ spaces and Painleve's theorem on smoothness to the boundary for conformal maps. This book is a text for a first-year graduate course in complex analysis. It is an engaging and modern introduction to the subject, reflecting the authors' expertise both as mathematicians and as expositors.

When it comes to Calculus, Physics, or Chemistry, students need these Advantage self-study guides.

Each Advantage study guide unravels the mystery, explains the theories, and provides the step-by-step practice and instructions to help students solve problems and prepare for exams.

Each guide contains the following invaluable tools: a synopsis of course content short tutorials summarized terms and references fully worked examples with explanations practice problems with solutions (including a wide variety of problem types) practice unit test with solutions practice exams Students who have mastered calculus, physics, and chemistry all talk of that breakthrough moment when what had seemed impenetrable was replaced with understanding, when suddenly what they had perceived as enormously difficult became incredibly clear.
The straightforward instructions in each of these valuable companions are designed to augment in-class learning. The tutorials and solved problems are there to clarify difficult concepts giving students the Advantage they need to achieve full understanding.

If you conscientiously do your work, success will follow. Calculus is worth the effort.
- "Eugene Zassoko"

1842. Part 2 of 2. Augustus De Morgan was an important innovator in the field of logic. In addition, he made many contributions to the field of mathematics and the chronicling of the history of mathematics. The Differential and Integral Calculus was published by the Society for the Diffusion of Useful Knowledge, whose object was to spread scientific and other knowledge by means of cheap and clearly written treatises by the best writers of the time. Partial contents: Differentiation; Integration; Development; Series; Differential Equations; Differences; Summation; Equations of Differences; Calculus of Variations; Definite Integrals-with Applications to Algebra; Plane Geometry; Solid Geometry; and Mechanics. Elementary illustrations of the Differential and Integral Calculus are also included. Other volumes in this set are ISBN(s): 0766189996.

1842. Part 1 of 2. Augustus De Morgan was an important innovator in the field of logic. In addition, he made many contributions to the field of mathematics and the chronicling of the history of mathematics. The Differential and Integral Calculus was published by the Society for the Diffusion of Useful Knowledge, whose object was to spread scientific and other knowledge by means of cheap and clearly written treatises by the best writers of the time. Partial contents: Differentiation; Integration; Development; Series; Differential Equations; Differences; Summation; Equations of Differences; Calculus of Variations; Definite Integrals-with Applications to Algebra; Plane Geometry; Solid Geometry; and Mechanics. Elementary illustrations of the Differential and Integral Calculus are also included. Other volumes in this set are ISBN(s): 1417910046.

1842. Part 1 of 2. Augustus De Morgan was an important innovator in the field of logic. In addition, he made many contributions to the field of mathematics and the chronicling of the history of mathematics. The Differential and Integral Calculus was published by the Society for the Diffusion of Useful Knowledge, whose object was to spread scientific and other knowledge by means of cheap and clearly written treatises by the best writers of the time. Partial contents: Differentiation; Integration; Development; Series; Differential Equations; Differences; Summation; Equations of Differences; Calculus of Variations; Definite Integrals-with Applications to Algebra; Plane Geometry; Solid Geometry; and Mechanics. Elementary illustrations of the Differential and Integral Calculus are also included. Other volumes in this set are ISBN(s): 1417910046.

1842. Part 2 of 2. Augustus De Morgan was an important innovator in the field of logic. In addition, he made many contributions to the field of mathematics and the chronicling of the history of mathematics. The Differential and Integral Calculus was published by the Society for the Diffusion of Useful Knowledge, whose object was to spread scientific and other knowledge by means of cheap and clearly written treatises by the best writers of the time. Partial contents: Differentiation; Integration; Development; Series; Differential Equations; Differences; Summation; Equations of Differences; Calculus of Variations; Definite Integrals-with Applications to Algebra; Plane Geometry; Solid Geometry; and Mechanics. Elementary illustrations of the Differential and Integral Calculus are also included. Other volumes in this set are ISBN(s): 0766189996.

This 3-part text explores the exterior calculus, including specific detailed applications and in-depth studies of physical disciplines via exterior calculus -- classical and irreversible thermodynamics, electrodynamics with both electric and magnetic charges, and the modern theory of gauge fields. "Essential." -- "SciTech Book News. "1985 edition.