Higher Calculus
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Higher Calculus
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Author : Frank Bowman
language : en
Publisher: Cambridge University Press
Release Date : 2009-01-11
Higher Calculus written by Frank Bowman and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-01-11 with Mathematics categories.
This book is intended for students who have completed an elementary course of calculus and are taking the subject further, more particularly, perhaps, on account of its applications in physics and engineering. It covers the ground of a calculus course at first-year level in universities and colleges of technology for students majoring in mathematics. It thus fills a gap between the numerous introductory texts and those on advanced analysis in which this material is embedded in a great deal of other matter. The emphasis is on essentials. Principles are treated rigourously while avoiding unnecessary difficulties for the student for whom mathematics is an ancillary subject. An original feature is the prominence given to the asymptotic property of the Taylor formula. The large number of examples has been carefully chosen to bring out the main points rather than to test manipulative ability; answers are given.
The Higher Calculus A History Of Real And Complex Analysis From Euler To Weierstrass
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Author : Umberto Bottazini
language : en
Publisher: Springer
Release Date : 1986-09-24
The Higher Calculus A History Of Real And Complex Analysis From Euler To Weierstrass written by Umberto Bottazini and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-09-24 with Mathematics categories.
"The true method of foreseeing the future of mathematics is to study its history and its actual state." With these words Henri Poincare began his presentation to the Fourth International Congress of Mathematicians at Rome in 1908. Although Poincare himself never actively pursued the history of mathematics, his remarks have given both historians of mathematics and working mathematicians a valuable methodological guideline, not so much for indulging in improbable prophecies about the future state of mathematics, as for finding in history the origins and moti va tions of contemporary theories, and for finding in the present the most fruitful statements of these theories. At the time Poincare spoke, at the beginning of this century, historical research in the various branches of rna thema tics was emerging with distinctive autonomy. In Germany the last volume of Cantor's monumental Vorlesungell iiber die Gesehiehte der Mathematik had just appeared, and many new specialized journals were appearing to complement those already in existence, from Enestrom's Bibliotheea mathematiea to Loria's Bollettino di bibliogra/ia e di storia delle seienze matematiehe. The annual Jahresberiehte of the German Mathematical Society included noteworthy papers of a historical nature, as did the Enzyklopadie der mathematisehen Wissenseha/ten, an imposing work constructed according to the plan of Felix Klein.
Advanced Calculus Revised Edition
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Author : Lynn Harold Loomis
language : en
Publisher: World Scientific Publishing Company
Release Date : 2014-02-26
Advanced Calculus Revised Edition written by Lynn Harold Loomis and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-26 with Mathematics categories.
An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.
The Higher Calculus
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Author : Umberto Bottazzini
language : en
Publisher:
Release Date : 1986-01-01
The Higher Calculus written by Umberto Bottazzini and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-01-01 with Analyse mathématique - Congrès categories.
Introduction To Higher Calculus
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Author : Anthony Vendler
language : en
Publisher:
Release Date : 2020-01-06
Introduction To Higher Calculus written by Anthony Vendler and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-06 with categories.
This comprehensive book on Higher Calculus was designed by the author to fill what he perceived as a gap in the literature of mathematics, which often treated the subject in a manner he described as both sketchy and incomplete. In writing Introduction to Higher Calculus, the author had the goal in mind of writing the finest book that has ever been written on the subject. Generations of teachers and students have benefitted from Vendler's thorough presentations and concise results. Suitable for advanced undergraduates and graduate students of mathematics, his treatment examines a wide range of topics giving the reader a breadth of understanding and insight into current mathematical research areas.
A Course Of Higher Mathematics
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Author : V. I. Smirnov
language : en
Publisher: Elsevier
Release Date : 2014-05-16
A Course Of Higher Mathematics written by V. I. Smirnov and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-16 with Mathematics categories.
A Course of Higher Mathematics, I: Elementary Calculus is a five-volume course of higher mathematics used by mathematicians, physicists, and engineers in the U.S.S.R. This volume deals with calculus and principles of mathematical analysis including topics on functions of single and multiple variables. The functional relationships, theory of limits, and the concept of differentiation, whether as theories and applications, are discussed. This book also examines the applications of differential calculus to geometry. For example, the equations to determine the differential of arc or the parameters of a curve are shown. This text then notes the basic problems involving integral calculus, particularly regarding indefinite integrals and their properties. The application of definite integrals in the calculation of area of a sector, the length of arc, and the calculation of the volumes of solids of a given cross-section are explained. This book further discusses the basic theory of infinite series, applications to approximate evaluations, Taylor's formula, and its extension. Finally, the geometrical approach to the concept of a number is reviewed. This text is suitable for physicists, engineers, mathematicians, and students in higher mathematics.
A Course Of Higher Mathematics
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Author : V. I. Smirnov
language : en
Publisher: Elsevier
Release Date : 2014-05-09
A Course Of Higher Mathematics written by V. I. Smirnov and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-09 with Mathematics categories.
A Course of Higher Mathematics, Volume II: Advanced Calculus covers the theory of functions of real variable in advanced calculus. This volume is divided into seven chapters and begins with a full discussion of the solution of ordinary differential equations with many applications to the treatment of physical problems. This topic is followed by an account of the properties of multiple integrals and of line integrals, with a valuable section on the theory of measurable sets and of multiple integrals. The subsequent chapters deal with the mathematics necessary to the examination of problems in classical field theories in vector algebra and vector analysis and the elements of differential geometry in three-dimensional space. The final chapters explore the Fourier series and the solution of the partial differential equations of classical mathematical physics. This book will prove useful to advanced mathematics students, engineers, and physicists.
A Course Of Higher Mathematics
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Author : Aleksandr Andreevich Shestakov
language : en
Publisher:
Release Date : 1990
A Course Of Higher Mathematics written by Aleksandr Andreevich Shestakov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Calculus, Integral categories.
On The Third Co Ordinate Branch Of The Higher Calculus
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Author : Edward Sang
language : en
Publisher:
Release Date : 1867
On The Third Co Ordinate Branch Of The Higher Calculus written by Edward Sang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1867 with Mathematics categories.
A Course Of Higher Mathematics
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Author : V. I. Smirnov
language : en
Publisher: Elsevier
Release Date : 2014-05-12
A Course Of Higher Mathematics written by V. I. Smirnov and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-12 with Mathematics categories.
A Course of Higher Mathematics, Volume IV provides information pertinent to the theory of the differential equations of mathematical physics. This book discusses the application of mathematics to the analysis and elucidation of physical problems. Organized into four chapters, this volume begins with an overview of the theory of integral equations and of the calculus of variations which together play a significant role in the discussion of the boundary value problems of mathematical physics. This text then examines the basic theory of partial differential equations and of systems of equations in which characteristics play a key role. Other chapters consider the theory of first order equations. This book discusses as well some concrete problems that indicate the aims and ideas of the calculus of variations. The final chapter deals with the boundary value problems of mathematical physics. This book is a valuable resource for mathematicians and readers who are embarking on the study of functional analysis.