A Second Course in Mathematical Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Second Course in Mathematical Analysis write by J. C. Burkill. This book was released on 2002-10-24. A Second Course in Mathematical Analysis available in PDF, EPUB and Kindle. A classic calculus text reissued in the Cambridge Mathematical Library. Clear and logical, with many examples.
A Second Course in Complex Analysis
A Second Course in Complex Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Second Course in Complex Analysis write by William A. Veech. This book was released on 2014-08-04. A Second Course in Complex Analysis available in PDF, EPUB and Kindle. A clear, self-contained treatment of important areas in complex analysis, this text is geared toward upper-level undergraduates and graduate students. The material is largely classical, with particular emphasis on the geometry of complex mappings. Author William A. Veech, the Edgar Odell Lovett Professor of Mathematics at Rice University, presents the Riemann mapping theorem as a special case of an existence theorem for universal covering surfaces. His focus on the geometry of complex mappings makes frequent use of Schwarz's lemma. He constructs the universal covering surface of an arbitrary planar region and employs the modular function to develop the theorems of Landau, Schottky, Montel, and Picard as consequences of the existence of certain coverings. Concluding chapters explore Hadamard product theorem and prime number theorem.
A Companion to Analysis
A Companion to Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Companion to Analysis write by Thomas William Körner. This book was released on 2004. A Companion to Analysis available in PDF, EPUB and Kindle. This book not only provides a lot of solid information about real analysis, it also answers those questions which students want to ask but cannot figure how to formulate. To read this book is to spend time with one of the modern masters in the subject. --Steven G. Krantz, Washington University, St. Louis One of the major assets of the book is Korner's very personal writing style. By keeping his own engagement with the material continually in view, he invites the reader to a similarly high level of involvement. And the witty and erudite asides that are sprinkled throughout the book are a real pleasure. --Gerald Folland, University of Washingtion, Seattle Many students acquire knowledge of a large number of theorems and methods of calculus without being able to say how they hang together. This book provides such students with the coherent account that they need. A Companion to Analysis explains the problems which must be resolved in order to obtain a rigorous development of the calculus and shows the student how those problems are dealt with. Starting with the real line, it moves on to finite dimensional spaces and then to metric spaces. Readers who work through this text will be ready for such courses as measure theory, functional analysis, complex analysis and differential geometry. Moreover, they will be well on the road which leads from mathematics student to mathematician. Able and hard working students can use this book for independent study, or it can be used as the basis for an advanced undergraduate or elementary graduate course. An appendix contains a large number of accessible but non-routine problems to improve knowledge and technique.
A Second Course in Mathematical Analysis
A Second Course in Mathematical Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Second Course in Mathematical Analysis write by Dorairaj Somasundaram. This book was released on 2010. A Second Course in Mathematical Analysis available in PDF, EPUB and Kindle. A Second Course in Mathematical Analysis makes an in-depth study of Infinite series, Double sequences and series, power series, sequences and series of functions, Functions of bounded variation, Riemann - Stieltjes integrals, Lebesgue integrals, Fourier series, Multivariable differential calculus, Implicit functions and Extremum problems.
Mathematical Analysis
Mathematical Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Analysis write by Andrew Browder. This book was released on 2012-12-06. Mathematical Analysis available in PDF, EPUB and Kindle. Among the traditional purposes of such an introductory course is the training of a student in the conventions of pure mathematics: acquiring a feeling for what is considered a proof, and supplying literate written arguments to support mathematical propositions. To this extent, more than one proof is included for a theorem - where this is considered beneficial - so as to stimulate the students' reasoning for alternate approaches and ideas. The second half of this book, and consequently the second semester, covers differentiation and integration, as well as the connection between these concepts, as displayed in the general theorem of Stokes. Also included are some beautiful applications of this theory, such as Brouwer's fixed point theorem, and the Dirichlet principle for harmonic functions. Throughout, reference is made to earlier sections, so as to reinforce the main ideas by repetition. Unique in its applications to some topics not usually covered at this level.
