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Calculus Elements Of Modern Mathematics


Calculus Elements Of Modern Mathematics
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Calculus Elements Of Modern Mathematics


Calculus Elements Of Modern Mathematics
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Author : J. J. Del Grande
language : en
Publisher: Gage Publishing Company
Release Date : 1979

Calculus Elements Of Modern Mathematics written by J. J. Del Grande and has been published by Gage Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Calculus categories.




Elements Of Modern Mathematics


Elements Of Modern Mathematics
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Author : Kenneth O, May
language : en
Publisher: Dover Publications
Release Date : 2019-11-13

Elements Of Modern Mathematics written by Kenneth O, May and has been published by Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-13 with Mathematics categories.


An unusually thoughtful and well-constructed introduction to the serious study of mathematics, this book requires no background beyond high school courses in plane geometry and elementary algebra. From that starting point, it is designed to lead readers willing to work through its exercises and problems to the achievement of basic mathematical literacy. The text provides a fundamental orientation in modern mathematics, an essential vocabulary of mathematical terms, and some facility in the use of mathematical concepts and symbols. From there, readers will be equipped to move on to more serious work, and they'll be well on the way to having the tools essential for work in the physical sciences, engineering, and the biological and social sciences. Starting with elementary treatments of algebra, logic, and set theory, the book advances to explorations of plane analytic geometry, relations and functions, numbers, and calculus. Subsequent chapters discuss probability, statistical inference, and abstract mathematical theories. Each section is enhanced with exercises in the text and problems at the end. Answers to the exercises and some of the problems are included at the end of each section.



Calculus


Calculus
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Author : John Joseph Del Grande
language : en
Publisher:
Release Date : 1972

Calculus written by John Joseph Del Grande and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Calculus categories.




Advanced Calculus Revised Edition


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.



Elements Of Mathematics


Elements Of Mathematics
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Author : John Stillwell
language : en
Publisher: Princeton University Press
Release Date : 2016-05-31

Elements Of Mathematics written by John Stillwell and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-31 with Mathematics categories.


An exciting look at the world of elementary mathematics Elements of Mathematics takes readers on a fascinating tour that begins in elementary mathematics—but, as John Stillwell shows, this subject is not as elementary or straightforward as one might think. Not all topics that are part of today's elementary mathematics were always considered as such, and great mathematical advances and discoveries had to occur in order for certain subjects to become "elementary." Stillwell examines elementary mathematics from a distinctive twenty-first-century viewpoint and describes not only the beauty and scope of the discipline, but also its limits. From Gaussian integers to propositional logic, Stillwell delves into arithmetic, computation, algebra, geometry, calculus, combinatorics, probability, and logic. He discusses how each area ties into more advanced topics to build mathematics as a whole. Through a rich collection of basic principles, vivid examples, and interesting problems, Stillwell demonstrates that elementary mathematics becomes advanced with the intervention of infinity. Infinity has been observed throughout mathematical history, but the recent development of "reverse mathematics" confirms that infinity is essential for proving well-known theorems, and helps to determine the nature, contours, and borders of elementary mathematics. Elements of Mathematics gives readers, from high school students to professional mathematicians, the highlights of elementary mathematics and glimpses of the parts of math beyond its boundaries.



Introduction To Modern Mathematics


Introduction To Modern Mathematics
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Author : Helena Rasiowa
language : en
Publisher: Elsevier
Release Date : 2014-05-12

Introduction To Modern Mathematics written by Helena Rasiowa 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.


Introduction to Modern Mathematics focuses on the operations, principles, and methodologies involved in modern mathematics. The monograph first tackles the algebra of sets, natural numbers, and functions. Discussions focus on groups of transformations, composition of functions, an axiomatic approach to natural numbers, intersection of sets, axioms of the algebra of sets, fields of sets, prepositional functions of one variable, and difference of sets. The text then takes a look at generalized unions and intersections of sets, Cartesian products of sets, and equivalence relations. The book ponders on powers of sets, ordered sets, and linearly ordered sets. Topics include isomorphism of linearly ordered sets, dense linear ordering, maximal and minimal elements, quasi-ordering relations, inequalities for cardinal numbers, sets of the power of the continuum, and Cantor's theorem. The manuscript then examines elementary concepts of abstract algebras, functional calculus and its applications in mathematical proofs, and propositional calculus and its applications in mathematical proofs. The publication is a valuable reference for mathematicians and researchers interested in modern mathematics.



Modern Calculus And Analytic Geometry


Modern Calculus And Analytic Geometry
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Author : Richard A. Silverman
language : en
Publisher: Courier Corporation
Release Date : 2014-04-15

Modern Calculus And Analytic Geometry written by Richard A. Silverman and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-04-15 with Mathematics categories.


A self-contained text for an introductory course, this volume places strong emphasis on physical applications. Key elements of differential equations and linear algebra are introduced early and are consistently referenced, all theorems are proved using elementary methods, and numerous worked-out examples appear throughout. The highly readable text approaches calculus from the student's viewpoint and points out potential stumbling blocks before they develop. A collection of more than 1,600 problems ranges from exercise material to exploration of new points of theory — many of the answers are found at the end of the book; some of them worked out fully so that the entire process can be followed. This well-organized, unified text is copiously illustrated, amply cross-referenced, and fully indexed.



Calculus Elements Of Modern Mathematics


Calculus Elements Of Modern Mathematics
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Author : John Joseph Del Grande
language : en
Publisher: Gage Publishing Company
Release Date : 1979

Calculus Elements Of Modern Mathematics written by John Joseph Del Grande and has been published by Gage Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Calculus categories.




Elements Of The History Of Mathematics


Elements Of The History Of Mathematics
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Author : N. Bourbaki
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-11-18

Elements Of The History Of Mathematics written by N. Bourbaki and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-11-18 with Mathematics categories.


Each volume of Nicolas Bourbakis well-known work, The Elements of Mathematics, contains a section or chapter devoted to the history of the subject. This book collects together those historical segments with an emphasis on the emergence, development, and interaction of the leading ideas of the mathematical theories presented in the Elements. In particular, the book provides a highly readable account of the evolution of algebra, geometry, infinitesimal calculus, and of the concepts of number and structure, from the Babylonian era through to the 20th century.



The Nature And Growth Of Modern Mathematics


The Nature And Growth Of Modern Mathematics
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Author : Edna Ernestine Kramer
language : en
Publisher: Princeton University Press
Release Date : 1982

The Nature And Growth Of Modern Mathematics written by Edna Ernestine Kramer and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Mathematics categories.


Now available in a one-volume paperback, this book traces the development of the most important mathematical concepts, giving special attention to the lives and thoughts of such mathematical innovators as Pythagoras, Newton, Poincare, and Godel. Beginning with a Sumerian short story--ultimately linked to modern digital computers--the author clearly introduces concepts of binary operations; point-set topology; the nature of post-relativity geometries; optimization and decision processes; ergodic theorems; epsilon-delta arithmetization; integral equations; the beautiful "ideals" of Dedekind and Emmy Noether; and the importance of "purifying" mathematics. Organizing her material in a conceptual rather than a chronological manner, she integrates the traditional with the modern, enlivening her discussions with historical and biographical detail.