Download or read book Analysis I written by Terence Tao and published by Springer. This book was released on 2016-08-29 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is part one of a two-volume book on real analysis and is intended for senior undergraduate students of mathematics who have already been exposed to calculus. The emphasis is on rigour and foundations of analysis. Beginning with the construction of the number systems and set theory, the book discusses the basics of analysis (limits, series, continuity, differentiation, Riemann integration), through to power series, several variable calculus and Fourier analysis, and then finally the Lebesgue integral. These are almost entirely set in the concrete setting of the real line and Euclidean spaces, although there is some material on abstract metric and topological spaces. The book also has appendices on mathematical logic and the decimal system. The entire text (omitting some less central topics) can be taught in two quarters of 25–30 lectures each. The course material is deeply intertwined with the exercises, as it is intended that the student actively learn the material (and practice thinking and writing rigorously) by proving several of the key results in the theory.
Download or read book Analysis II written by Terence Tao and published by Springer. This book was released on 2016-08-22 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is part two of a two-volume book on real analysis and is intended for senior undergraduate students of mathematics who have already been exposed to calculus. The emphasis is on rigour and foundations of analysis. Beginning with the construction of the number systems and set theory, the book discusses the basics of analysis (limits, series, continuity, differentiation, Riemann integration), through to power series, several variable calculus and Fourier analysis, and then finally the Lebesgue integral. These are almost entirely set in the concrete setting of the real line and Euclidean spaces, although there is some material on abstract metric and topological spaces. The book also has appendices on mathematical logic and the decimal system. The entire text (omitting some less central topics) can be taught in two quarters of 25–30 lectures each. The course material is deeply intertwined with the exercises, as it is intended that the student actively learn the material (and practice thinking and writing rigorously) by proving several of the key results in the theory.
Download or read book Analysis written by Terence Tao and published by . This book was released on 2006 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing an introduction to real analysis, this text is suitable for honours undergraduates. It starts at the very beginning - the construction of the number systems and set theory, then to the basics of analysis, through to power series, several variable calculus and Fourier analysis, and finally to the Lebesgue integral.
Download or read book Analysis II written by Claus Gerhardt and published by American Mathematical Society(RI). This book was released on 2006 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second and last part of an introduction to analysis. The book covers Elements of functional analysis, differentiation in Banach spaces, the fundamental existence theorems in analysis, ordinary differential equations, Lebesgue's theory of integration, tensor analysis, and the theory of submanifolds in semi-Riemannian spaces.
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 Mathematical Analysis II written by Vladimir A. Zorich and published by Krishna Prakashan Media. This book was released on 2010-11-16 with total page 792 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second volume expounds classical analysis as it is today, as a part of unified mathematics, and its interactions with modern mathematical courses such as algebra, differential geometry, differential equations, complex and functional analysis. The book provides a firm foundation for advanced work in any of these directions.
Download or read book Analysis I written by Herbert Amann and published by Springer Science & Business Media. This book was released on 2006-03-14 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This textbook provides an outstanding introduction to analysis. It is distinguished by its high level of presentation and its focus on the essential.'' (Zeitschrift für Analysis und ihre Anwendung 18, No. 4 - G. Berger, review of the first German edition) "One advantage of this presentation is that the power of the abstract concepts are convincingly demonstrated using concrete applications.'' (W. Grölz, review of the first German edition)
Download or read book Advanced Analysis Ii written by A.K. Sharma and published by Discovery Publishing House. This book was released on 2004 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents: Power Series, Fourier Series, The Riemann-Stieltjes Integral, Integral on R3, Series of Arbitrary Terms and Double Series, The Lebesgue Integral, Functions of Two and Three Variable.
Download or read book II Fourier Analysis Self Adjointness written by Michael Reed and published by Elsevier. This book was released on 1975 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Band 2.
Download or read book Problems in Mathematical Analysis written by Wieslawa J. Kaczor and published by American Mathematical Soc.. This book was released on 2000 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Problems and Theorems in Analysis written by Georg Polya and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Analysis II written by Revaz V. Gamkrelidze and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended for a wide range of readers, this book covers the main ideas of convex analysis and approximation theory. The author discusses the sources of these two trends in mathematical analysis, develops the main concepts and results, and mentions some beautiful theorems. The relationship of convex analysis to optimization problems, to the calculus of variations, to optimal control and to geometry is considered, and the evolution of the ideas underlying approximation theory, from its origins to the present day, is discussed. The book is addressed both to students who want to acquaint themselves with these trends and to lecturers in mathematical analysis, optimization and numerical methods, as well as to researchers in these fields who would like to tackle the topic as a whole and seek inspiration for its further development.
Download or read book Representation Theory and Noncommutative Harmonic Analysis II written by A.A. Kirillov and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two surveys introducing readers to the subjects of harmonic analysis on semi-simple spaces and group theoretical methods, and preparing them for the study of more specialised literature. This book will be very useful to students and researchers in mathematics, theoretical physics and those chemists dealing with quantum systems.
Download or read book Mathematical Analysis II written by Vladimir A. Zorich and published by Springer Science & Business Media. This book was released on 2004-01-22 with total page 708 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 Introduction to Calculus and Analysis II 1 written by Richard Courant and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 585 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "...one of the best textbooks introducing several generations of mathematicians to higher mathematics. ... This excellent book is highly recommended both to instructors and students." --Acta Scientiarum Mathematicarum, 1991
Download or read book Text Book Of Analysis Ii written by A.K. Sharma and published by Discovery Publishing House. This book was released on 2004 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents: Riemann Integral, Functions of a Single Variable, Functions of A Complex Variable, Improper Integrals, Uniform Convergence, Metric Spaces, Beta and Gamma Functions, Differentiation Under Integral Sign, Integration on R2
Download or read book Environmental Radiochemical Analysis II written by Peter Warwick and published by Royal Society of Chemistry. This book was released on 2007-10-31 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: Environmental Radiochemical Analysis II brings together comprehensive, up-to-date information from international experts in the field. Coverage includes information on new methods of radionuclide analyses, developments and improvements in existing methods, method comparisons, gamma detector performance and new software products, method uncertainty, underground laboratory facilities, method QA and QC, field studies covering colloid work, in-situ injection into rock strata and sampling of reduced waters for actinide assay. This stimulating, authoritative text makes essential reading for practising radioanalysts and provides valuable information for researchers and professionals in academia and industry.
