Download or read book Foundations of Analysis written by Edmund Landau and published by . This book was released on 2021-02 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: Natural numbers, zero, negative integers, rational numbers, irrational numbers, real numbers, complex numbers, . . ., and, what are numbers? The most accurate mathematical answer to the question is given in this book.

Download or read book Foundations of Analysis written by Edmund Landau and published by American Mathematical Soc.. This book was released on 2001 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why does 2 x 2 = 4? What are fractions? Imaginary numbers? Why do the laws of algebra hold? What are the properties of the numbers on which the differential and integral calculus is based? In other words, What are numbers? And why do they have the properties we attribute to them? This work answers such questions.--

Download or read book David Hilbert and the Axiomatization of Physics 1898 1918 written by L. Corry and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: David Hilbert (1862-1943) was the most influential mathematician of the early twentieth century and, together with Henri Poincaré, the last mathematical universalist. His main known areas of research and influence were in pure mathematics (algebra, number theory, geometry, integral equations and analysis, logic and foundations), but he was also known to have some interest in physical topics. The latter, however, was traditionally conceived as comprising only sporadic incursions into a scientific domain which was essentially foreign to his mainstream of activity and in which he only made scattered, if important, contributions. Based on an extensive use of mainly unpublished archival sources, the present book presents a totally fresh and comprehensive picture of Hilbert’s intense, original, well-informed, and highly influential involvement with physics, that spanned his entire career and that constituted a truly main focus of interest in his scientific horizon. His program for axiomatizing physical theories provides the connecting link with his research in more purely mathematical fields, especially geometry, and a unifying point of view from which to understand his physical activities in general. In particular, the now famous dialogue and interaction between Hilbert and Einstein, leading to the formulation in 1915 of the generally covariant field-equations of gravitation, is adequately explored here within the natural context of Hilbert’s overall scientific world-view. This book will be of interest to historians of physics and of mathematics, to historically-minded physicists and mathematicians, and to philosophers of science.

Download or read book Grundlagen Der Geometrie Von Dr David Hilbert written by David Hilbert and published by . This book was released on 1923 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Non standard Analysis written by Abraham Robinson and published by Princeton University Press. This book was released on 2016-08-11 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: Considered by many to be Abraham Robinson's magnum opus, this book offers an explanation of the development and applications of non-standard analysis by the mathematician who founded the subject. Non-standard analysis grew out of Robinson's attempt to resolve the contradictions posed by infinitesimals within calculus. He introduced this new subject in a seminar at Princeton in 1960, and it remains as controversial today as it was then. This paperback reprint of the 1974 revised edition is indispensable reading for anyone interested in non-standard analysis. It treats in rich detail many areas of application, including topology, functions of a real variable, functions of a complex variable, and normed linear spaces, together with problems of boundary layer flow of viscous fluids and rederivations of Saint-Venant's hypothesis concerning the distribution of stresses in an elastic body.

Download or read book Mathematical Analysis I written by Vladimir A. Zorich and published by Springer Science & Business Media. This book was released on 2004-01-22 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work by Zorich on Mathematical Analysis constitutes a thorough first course in real analysis, leading from the most elementary facts about real numbers to such advanced topics as differential forms on manifolds, asymptotic methods, Fourier, Laplace, and Legendre transforms, and elliptic functions.

Download or read book Differential and Integral Calculus written by Edmund Landau and published by University of Pennsylvania Press. This book was released on 2001 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: After completing his famous Foundations of Analysis, Landau turned his attention to this book on calculus. The approach is that of an unrepentant analyst, with an emphasis on functions rather than on geometric or physical applications. The book is another example of Landau's formidable skill as an expositor. It is a masterpiece of rigor and clarity. And what a book it is! The marks of Landau's thoroughness and elegance, and of his undoubted authority, impress themselves on the reader at every turn, from the opening of the preface ... to the closing of the final chapter. It is a book that all analysts ... should possess ... to see how a master of his craft like Landau presented the calculus when he was at the height of his power and reputation. --Mathematical Gazette

Download or read book Mathematical Foundations of Quantum Mechanics written by John von Neumann and published by Princeton University Press. This book was released on 1955 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: A revolutionary book that for the first time provided a rigorous mathematical framework for quantum mechanics. -- Google books

Download or read book Analysis and Synthesis of Logics written by Walter Carnielli and published by Springer Science & Business Media. This book was released on 2008-01-22 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: Starting with simple examples showing the relevance of cutting and pasting logics, the monograph develops a mathematical theory of combining and decomposing logics, ranging from propositional and first-order based logics to higher-order based logics as well as to non-truth functional logics. The theory covers mechanisms for combining semantic structures and deductive systems either of the same or different nature. The issue of preservation of properties is addressed.

Download or read book Methods of Modern Mathematical Physics Functional analysis written by Michael Reed and published by Gulf Professional Publishing. This book was released on 1980 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is the first of a multivolume series devoted to an exposition of functional analysis methods in modern mathematical physics. It describes the fundamental principles of functional analysis and is essentially self-contained, although there are occasional references to later volumes. We have included a few applications when we thought that they would provide motivation for the reader. Later volumes describe various advanced topics in functional analysis and give numerous applications in classical physics, modern physics, and partial differential equations." --Publisher description.

Download or read book The Foundations of Geometry written by David Hilbert and published by Read Books Ltd. This book was released on 2015-05-06 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt: This early work by David Hilbert was originally published in the early 20th century and we are now republishing it with a brand new introductory biography. David Hilbert was born on the 23rd January 1862, in a Province of Prussia. Hilbert is recognised as one of the most influential and universal mathematicians of the 19th and early 20th centuries. He discovered and developed a broad range of fundamental ideas in many areas, including invariant theory and the axiomatization of geometry. He also formulated the theory of Hilbert spaces, one of the foundations of functional analysis.

Download or read book An Introduction to the Mathematical Theory of Finite Elements written by J. T. Oden and published by Courier Corporation. This book was released on 2012-05-23 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to the theory of Sobolev spaces and Hilbert space methods in partial differential equations is geared toward readers of modest mathematical backgrounds. It offers coherent, accessible demonstrations of the use of these techniques in developing the foundations of the theory of finite element approximations. J. T. Oden is Director of the Institute for Computational Engineering & Sciences (ICES) at the University of Texas at Austin, and J. N. Reddy is a Professor of Engineering at Texas A&M University. They developed this essentially self-contained text from their seminars and courses for students with diverse educational backgrounds. Their effective presentation begins with introductory accounts of the theory of distributions, Sobolev spaces, intermediate spaces and duality, the theory of elliptic equations, and variational boundary value problems. The second half of the text explores the theory of finite element interpolation, finite element methods for elliptic equations, and finite element methods for initial boundary value problems. Detailed proofs of the major theorems appear throughout the text, in addition to numerous examples.

Download or read book Bemerkungen ber Die Grundlagen Der Mathematik written by Ludwig Wittgenstein and published by . This book was released on 1972 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Essentials of Financial Analysis written by Samuel C. Weaver and published by McGraw Hill Professional. This book was released on 2011-12-30 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: It’s easier than you think to understand the financial reports you face every day . . . If your job focus is on managing employees and overseeing corporate affairs, financial analysis may sound like a foreign language to you. But, in today’s competitive business environment, it is crucial that managers and business executives have a firm grasp of financial analysis. The Essentials of Financial Analysis simplifies an often difficult-to-understand topic so stakeholders ranging from employees to executives to investors can understand and discuss an organization’s financial workings. The Essentials of Financial Analysis delivers practical, in-depth coverage on the key components of financial reporting, budgeting, and analysis to help you better relate to the numbers behind the business issues you face every day. By the time you turn the final page of this book, you will be able to command confident discussions on performance, investment, and other financial situations with members of your finance team and senior management. This hands-on book helps you make better business decisions by showing you how to structure financial analysis, as well as: Contribute to an organization’s success and guide others companywide to make better financial decisions Reduce cost of capital and hurdle rates by selecting the financial markets, intermediaries, and instruments that work best for your company’s financing needs Increase shareholder value by pursuing growth through capital investment, new products, mergers and acquisitions, joint ventures, and other strategies Your career success and the prosperity of your company depends on your ability to understand and act upon basic financial principles. With The Essentials of Financial Analysis, you can go inside the numbers and get a clear picture of where your company has been, where it is going, and how you can help it get there.

Download or read book Statistical Analysis written by Conrad Carlberg and published by Que Publishing. This book was released on 2014-04-04 with total page 714 pages. Available in PDF, EPUB and Kindle. Book excerpt: Use Excel 2013’s statistical tools to transform your data into knowledge Conrad Carlberg shows how to use Excel 2013 to perform core statistical tasks every business professional, student, and researcher should master. Using real-world examples, Carlberg helps you choose the right technique for each problem and get the most out of Excel’s statistical features, including recently introduced consistency functions. Along the way, he clarifies confusing statistical terminology and helps you avoid common mistakes. You’ll learn how to use correlation and regression, analyze variance and covariance, and test statistical hypotheses using the normal, binomial, t, and F distributions. To help you make accurate inferences based on samples from a population, this edition adds two more chapters on inferential statistics, covering crucial topics ranging from experimental design to the statistical power of F tests. Becoming an expert with Excel statistics has never been easier! You’ll find crystal-clear instructions, insider insights, and complete step-by-step projects—all complemented by extensive web-based resources. Master Excel’s most useful descriptive and inferential statistical tools Tell the truth with statistics—and recognize when others don’t Accurately summarize sets of values Infer a population’s characteristics from a sample’s frequency distribution Explore correlation and regression to learn how variables move in tandem Use Excel consistency functions such as STDEV.S() and STDEV.P() Test differences between two means using z tests, t tests, and Excel’s Data Analysis Add-in Use ANOVA to test differences between more than two means Explore statistical power by manipulating mean differences, standard errors, directionality, and alpha Take advantage of Recommended PivotTables, Quick Analysis, and other Excel 2013 shortcuts

Download or read book The Foundations of Arithmetic written by Gottlob Frege and published by John Wiley & Sons. This book was released on 1980 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: A philosophical discussion of the concept of number In the book, The Foundations of Arithmetic: A Logico-Mathematical Enquiry into the Concept of Number, Gottlob Frege explains the central notions of his philosophy and analyzes the perspectives of predecessors and contemporaries. The book is the first philosophically relevant discussion of the concept of number in Western civilization. The work went on to significantly influence philosophy and mathematics. Frege was a German mathematician and philosopher who published the text in 1884, which seeks to define the concept of a number. It was later translated into English. This is the revised second edition.

Download or read book Rudolf Carnap Early Writings written by Rudolf Carnap and published by . This book was released on 2019 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the first of a complete edition of the writings of Rudolf Carnap. Translated into English for the first time and supplemented with a detailed introduction, Carnap's early works are contextualised in extensive notes and critically discussed by an international team of scholars who specialize in different aspects of Carnap's thought.