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| Author | : I. Grattan-Guinness |
| Publisher | : |
| Total Pages | : 216 |
| Release | : 1970 |
| Genre | : Mathematics |
| ISBN | : |
| Author | : Nathan Glazer |
| Publisher | : |
| Total Pages | : |
| Release | : 1970 |
| Genre | : |
| ISBN | : |
| Author | : Hans Freudenthal |
| Publisher | : |
| Total Pages | : 23 |
| Release | : 1971* |
| Genre | : |
| ISBN | : |
| Author | : Saminathan Ponnusamy |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 575 |
| Release | : 2011-12-17 |
| Genre | : Mathematics |
| ISBN | : 0817682929 |
Mathematical analysis is fundamental to the undergraduate curriculum not only because it is the stepping stone for the study of advanced analysis, but also because of its applications to other branches of mathematics, physics, and engineering at both the undergraduate and graduate levels. This self-contained textbook consists of eleven chapters, which are further divided into sections and subsections. Each section includes a careful selection of special topics covered that will serve to illustrate the scope and power of various methods in real analysis. The exposition is developed with thorough explanations, motivating examples, exercises, and illustrations conveying geometric intuition in a pleasant and informal style to help readers grasp difficult concepts. Foundations of Mathematical Analysis is intended for undergraduate students and beginning graduate students interested in a fundamental introduction to the subject. It may be used in the classroom or as a self-study guide without any required prerequisites.
| Author | : Ivor Owen Grattan-Guinness |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 1969 |
| Genre | : Academic theses |
| ISBN | : |
| Author | : Richard Johnsonbaugh |
| Publisher | : Courier Corporation |
| Total Pages | : 450 |
| Release | : 2012-09-11 |
| Genre | : Mathematics |
| ISBN | : 0486134776 |
Definitive look at modern analysis, with views of applications to statistics, numerical analysis, Fourier series, differential equations, mathematical analysis, and functional analysis. More than 750 exercises; some hints and solutions. 1981 edition.
| Author | : Ernst Hairer |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 390 |
| Release | : 2008-06-02 |
| Genre | : Mathematics |
| ISBN | : 0387770313 |
This book presents first-year calculus roughly in the order in which it was first discovered. The first two chapters show how the ancient calculations of practical problems led to infinite series, differential and integral calculus and to differential equations. The establishment of mathematical rigour for these subjects in the 19th century for one and several variables is treated in chapters III and IV. Many quotations are included to give the flavor of the history. The text is complemented by a large number of examples, calculations and mathematical pictures and will provide stimulating and enjoyable reading for students, teachers, as well as researchers.
| Author | : Saul Stahl |
| Publisher | : John Wiley & Sons |
| Total Pages | : 288 |
| Release | : 1999-08-05 |
| Genre | : Mathematics |
| ISBN | : 9780471318521 |
A provocative look at the tools and history of real analysis This new work from award-winning author Saul Stahl offers a real treat for students of analysis. Combining historical coverage with a superb introductory treatment, Real Analysis: A Historical Approach helps readers easily make the transition from concrete to abstract ideas. The book begins with an exciting sampling of classic and famous problems first posed by some of the greatest mathematicians of all time. Archimedes, Fermat, Newton, and Euler are each summoned in turn-illuminating the utility of infinite, power, and trigonometric series in both pure and applied mathematics. Next, Dr. Stahl develops the basic tools of advanced calculus, introducing the various aspects of the completeness of the real number system, sequential continuity and differentiability, as well as uniform convergence. Finally, he presents applications and examples to reinforce concepts and demonstrate the validity of many of the historical methods and results. Ample exercises, illustrations, and appended excerpts from the original historical works complete this focused, unconventional, highly interesting book. It is an invaluable resource for mathematicians and educators seeking to gain insight into the true language of mathematics.
| Author | : David French Belding |
| Publisher | : Courier Corporation |
| Total Pages | : 450 |
| Release | : 2008-01-01 |
| Genre | : Mathematics |
| ISBN | : 048646296X |
This treatment develops the real number system and the theory of calculus on the real line, extending the theory to real and complex planes. Designed for students with one year of calculus, it features extended discussions of key ideas and detailed proofs of difficult theorems. 1991 edition.
| Author | : Mariano Giaquinta |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 418 |
| Release | : 2011-11-04 |
| Genre | : Mathematics |
| ISBN | : 0817683100 |
Mathematical Analysis: Foundations and Advanced Techniques for Functions of Several Variables builds upon the basic ideas and techniques of differential and integral calculus for functions of several variables, as outlined in an earlier introductory volume. The presentation is largely focused on the foundations of measure and integration theory. The book begins with a discussion of the geometry of Hilbert spaces, convex functions and domains, and differential forms, particularly k-forms. The exposition continues with an introduction to the calculus of variations with applications to geometric optics and mechanics. The authors conclude with the study of measure and integration theory – Borel, Radon, and Hausdorff measures and the derivation of measures. An appendix highlights important mathematicians and other scientists whose contributions have made a great impact on the development of theories in analysis. This work may be used as a supplementary text in the classroom or for self-study by advanced undergraduate and graduate students and as a valuable reference for researchers in mathematics, physics, and engineering. One of the key strengths of this presentation, along with the other four books on analysis published by the authors, is the motivation for understanding the subject through examples, observations, exercises, and illustrations.
