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Author: Marlene Torres Skoumal
Publisher:
Published: 2019-03
Total Pages: 832
ISBN-13: 9780198427162
DOWNLOAD EBOOKFeaturing a wealth of digital content, this concept-based Print and Enhanced Online Course Book Pack has been developed in cooperation with the IB to provide the most comprehensive support for the new DP Mathematics: analysis and approaches HL syllabus, for first teaching in September 2019.
Author: FRANK LOXLEY GRIFFIN, PH.D.
Publisher:
Published: 1928
Total Pages: 568
ISBN-13:
DOWNLOAD EBOOKAuthor: Elias Zakon
Publisher: The Trillia Group
Published: 2009-12-18
Total Pages: 436
ISBN-13: 1931705038
DOWNLOAD EBOOKAuthor: J. C. Burkill
Publisher: Cambridge University Press
Published: 2002-10-24
Total Pages: 536
ISBN-13: 9780521523431
DOWNLOAD EBOOKA classic calculus text reissued in the Cambridge Mathematical Library. Clear and logical, with many examples.
Author: Sterling K. Berberian
Publisher: Springer Science & Business Media
Published: 2012-09-10
Total Pages: 249
ISBN-13: 1441985484
DOWNLOAD EBOOKMathematics is the music of science, and real analysis is the Bach of mathematics. There are many other foolish things I could say about the subject of this book, but the foregoing will give the reader an idea of where my heart lies. The present book was written to support a first course in real analysis, normally taken after a year of elementary calculus. Real analysis is, roughly speaking, the modern setting for Calculus, "real" alluding to the field of real numbers that underlies it all. At center stage are functions, defined and taking values in sets of real numbers or in sets (the plane, 3-space, etc.) readily derived from the real numbers; a first course in real analysis traditionally places the emphasis on real-valued functions defined on sets of real numbers. The agenda for the course: (1) start with the axioms for the field ofreal numbers, (2) build, in one semester and with appropriate rigor, the foun dations of calculus (including the "Fundamental Theorem"), and, along the way, (3) develop those skills and attitudes that enable us to continue learning mathematics on our own. Three decades of experience with the exercise have not diminished my astonishment that it can be done.
Author: Charles Chapman Pugh
Publisher: Springer Science & Business Media
Published: 2013-03-19
Total Pages: 445
ISBN-13: 0387216847
DOWNLOAD EBOOKWas plane geometry your favourite math course in high school? Did you like proving theorems? Are you sick of memorising integrals? If so, real analysis could be your cup of tea. In contrast to calculus and elementary algebra, it involves neither formula manipulation nor applications to other fields of science. None. It is Pure Mathematics, and it is sure to appeal to the budding pure mathematician. In this new introduction to undergraduate real analysis the author takes a different approach from past studies of the subject, by stressing the importance of pictures in mathematics and hard problems. The exposition is informal and relaxed, with many helpful asides, examples and occasional comments from mathematicians like Dieudonne, Littlewood and Osserman. The author has taught the subject many times over the last 35 years at Berkeley and this book is based on the honours version of this course. The book contains an excellent selection of more than 500 exercises.
Author: Terence Tao
Publisher: Springer
Published: 2016-08-29
Total Pages: 366
ISBN-13: 9811017891
DOWNLOAD EBOOKThis 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.
Author: Michael Hease
Publisher:
Published: 2019
Total Pages: 612
ISBN-13: 9781925489569
DOWNLOAD EBOOKAuthor: Patrick Fitzpatrick
Publisher: American Mathematical Soc.
Published: 2009
Total Pages: 610
ISBN-13: 0821847910
DOWNLOAD EBOOK"Advanced Calculus is intended as a text for courses that furnish the backbone of the student's undergraduate education in mathematical analysis. The goal is to rigorously present the fundamental concepts within the context of illuminating examples and stimulating exercises. This book is self-contained and starts with the creation of basic tools using the completeness axiom. The continuity, differentiability, integrability, and power series representation properties of functions of a single variable are established. The next few chapters describe the topological and metric properties of Euclidean space. These are the basis of a rigorous treatment of differential calculus (including the Implicit Function Theorem and Lagrange Multipliers) for mappings between Euclidean spaces and integration for functions of several real variables."--pub. desc.
Author: John B. Conway
Publisher: Cambridge University Press
Published: 2018
Total Pages: 357
ISBN-13: 1107173140
DOWNLOAD EBOOKThis concise text clearly presents the material needed for year-long analysis courses for advanced undergraduates or beginning graduates.
