Ebook Essential Calculus with Applications (Dover Books on Mathematics)
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Calculus is an extremely powerful tool for solving a host of practical problems in fields as diverse as physics, biology, and economics, to mention just a few. In this rigorous but accessible text, a noted mathematician introduces undergraduate-level students to the problem-solving techniques that make a working knowledge of calculus indispensable for any mathematician.The author first applies the necessary mathematical background, including sets, inequalities, absolute value, mathematical induction, and other "precalculus"Â material. Chapter Two begins the actual study of differential calculus with a discussion of the key concept of function, and a thorough treatment of derivatives and limits. In Chapter Three differentiation is used as a tool; among the topics covered here are velocity, continuous and differentiable functions, the indefinite integral, local extrema, and concrete optimization problems. Chapter Four treats integral calculus, employing the standard definition of the Riemann integral, and deals with the mean value theorem for integrals, the main techniques of integration, and improper integrals. Chapter Five offers a brief introduction to differential equations and their applications, including problems of growth, decay, and motion. The final chapter is devoted to the differential calculus of functions of several variables.Numerous problems and answers, and a newly added section of "Supplementary Hints and Answers," enable the student to test his grasp of the material before going on. Concise and well written, this text is ideal as a primary text or as a refresher for anyone wishing to review the fundamentals of this crucial discipline. Applied Mathematics - Free E-Books Applied Mathematics - list of freely downloadable books at E-Books Directory Calculus and Analytic Geometry 9th Edition - Free eBooks ... George B. Thomas Ross L. Finney "Calculus and Analytic Geometry 9th Edition" Ad..son W..ley 1995 ISBN: 0201531747 1264 pages File type: PDF 153 mb ... Foundations and Fundamental Concepts of Mathematics - Dover Third edition of popular undergraduate-level text offers overview of historical roots and evolution of several areas of mathematics. Topics include mathematics before ... Best books for mathematical background? - Stack Exchange The last book I read on "background in math for physicists" was "Mathematics for Physics" by Stone and Goldbart and I enjoyed it quite a bit. Mathematical Tools for Physics Bibliography. Mathematical Methods for Physics and Engineering by Riley Hobson and Bence. Cambridge University Press For the quantity of well-written material here ... Books in the Mathematical Sciences This site is intended as a resource for university students in the mathematical sciences. Books are recommended on the basis of readability and other pedagogical value. Calculus Better Explained: A Guide To Developing Lasting ... Calculus Better Explained is the calculus primer you wish you had in school. Learn the essential concepts using concrete analogies and vivid diagrams not mechanical ... Mathematics - Free E-Books Mathematics - list of freely downloadable books at E-Books Directory Calculus of variations - Wikipedia Calculus of variations is a field of mathematical analysis that deals with maximizing or minimizing functionals which are mappings from a set of functions to the ... Wikipedia:Requested articles/Mathematics - Wikipedia Add your request in the most appropriate place below. Before adding a request please: for existing articles on the same subject. If an article exists but not at the ...
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