Calculus I is the first volume of the three-volume calculus sequence by Tunc Geveci. The series is designed for the usual three-semester calculus sequence that the majority of science and engineering majors in the United States are required to take.The distinguishing features of the book are the focus on the concepts, essential functions and formulas of calculus and the effective use of graphics as an integral part of the exposition. Formulas that are not significant and exercises that involve artificial algebraic difficulties are avoided. The three-volume calculus sequence is organized as follows: Calculus I covers the usual topics of the first semester: limits, continuity, the derivative, the integral and special functions such as exponential functions, logarithms and inverse trigonometric functions. Calculus II covers techniques and applications of integration, improper integrals, infinite series, linear and separable first-order differential equations, parametrized curves and polar coordinates. Calculus III covers vectors, the differential calculus of functions of several variables, multiple integrals, line integrals, surface integrals, Green's Theorem, Stokes' Theorem and Gauss' Theorem.

Volume Two of an award-winning professor's introduction to essential concepts of calculus and mathematical modeling for students in the biosciences This is the second of a two-part series exploring essential concepts of calculus in the context of biological systems. Building on the essential ideas and theories of basic calculus taught in Mathematical Models in the Biosciences I, this book focuses on epidemiological models, mathematical foundations of virus and antiviral dynamics, ion channel models and cardiac arrhythmias, vector calculus and applications, and evolutionary models of disease. It also develops differential equations and stochastic models of many biomedical processes, as well as virus dynamics, the Clancy-Rudy model to determine the genetic basis of cardiac arrhythmias, and a sketch of some systems biology. Based on the author's calculus class at Yale, the book makes concepts of calculus less abstract and more relatable for science majors and premedical students.

This book is a facsimile reprint and may contain imperfections such as marks, notations, marginalia and flawed pages.

"Presents a summary of selected mathematics topics from college/university level mathematics courses. Fundamental principles are reviewed and presented by way of examples, figures, tables and diagrams. It condenses and presents under one cover basic concepts from several different applied mathematics topics"--P. [4] of cover.

This book provides an easy to follow study on Legendre Polynomials and Functions. It is also written in such a way that it can be used as a self study text. Basic knowledge of calculus and differential equations is needed. The book is intended to help students in engineering, physics and applied sciences understand various aspects of Legendre Polynomials and Functions that very often occur in engineering, physics, mathematics and applied sciences. I have collected many problems and gave numerous solved examples on the subject that might help the reader getting on-hand experience with the techniques presented in this note. It is hoped that this work will give some motivation to the reader to dig a bit further in the subject.

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.

This classic on the general history of functions was written by one of the twentieth century's best-known mathematicians. Hermann Weyl, who worked with Einstein at Princeton, combined function theory and geometry in this high-level landmark work, forming a new branch of mathematics and the basis of the modern approach to analysis, geometry, and topology.
The author intended this book not only to develop the basic ideas of Riemann's theory of algebraic functions and their integrals but also to examine the related ideas and theorems with an unprecedented degree of rigor. Weyl's two-part treatment begins by defining the concept and topology of Riemann surfaces and concludes with an exploration of functions of Riemann surfaces. His teachings illustrate the role of Riemann surfaces as not only devices for visualizing the values of analytic functions but also as indispensable components of the theory.

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).

The impact of the work of German mathematician GOTTFRIED WILHELM LEIBNIZ (1646-1716) on modern science and technology is all but incalculable, but for starters, his notation for infinitesimal calculus-which he developed independently of Newton-remains in use today, and his invention of binary counting is the basis for modern computing. He was a powerfully influential philosopher as well, and is still considered, alongside Descartes and Spinoza, one of the great 17th-century rationalists.With no complete edition of his numerous writings on the wide range of subjects he expounded upon available even today, this 1920 collection of his early mathematical manuscripts-as well as some third-party commentary on them-continues to be essential to anyone wishing to understand Leibniz's contributions to modern science.Here students of the history of science and math lovers alike will enjoy Leibniz's thoughts on the infinitesimal calculus, including a series of manuscripts from 1675, 1676, and 1677, plus the essays "Leibniz in London" and "Leibniz and Pascal" by German scholar C.I. Gerhardt.

Many of the earliest books, particularly those dating back to the 1900s and before, are now extremely scarce and increasingly expensive. We are republishing these classic works in affordable, high quality, modern editions, using the original text and artwork.

An unabridged, digitally enlarged printing of the first edition, to contain over 600 examples.

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 concise text offers an introduction to the fundamentals and standard methods of the calculus of variations. In addition to surveys of problems with fixed and movable boundaries, its subjects include practical direct methods for solution of variational problems. Each chapter features numerous illustrative problems, with solutions. 1961 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!

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.

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.