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University of Toronto Mathematics Competition (2001–2015)
This text records the problems given for the first 15 annual undergraduate mathematics competitions, held in March each year since 2001 at the University of Toronto. Problems cover areas of single-variable differential and integral calculus, linear algebra, advanced algebra, analytic geometry, combinatorics, basic group theory, and number theory. The problems of the competitions are given in ch…
- Edition
- -
- ISBN/ISSN
- 978-3-319-28106-3
- Collation
- -
- Series Title
- -
- Call Number
- -
The Real and the Complex: A History of Analysis in the 19th Century
This book contains a history of real and complex analysis in the nineteenth century, from the work of Lagrange and Fourier to the origins of set theory and the modern foundations of analysis. It studies the works of many contributors including Gauss, Cauchy, Riemann, and Weierstrass. This book is unique owing to the treatment of real and complex analysis as overlapping, inter-related subject…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-23715-2
- Collation
- Mathematics
- Series Title
- Springer Undergraduate Mathematics Series
- Call Number
- 510
The Real and the Complex: A History of Analysis in the 19th Century
This book contains a history of real and complex analysis in the nineteenth century, from the work of Lagrange and Fourier to the origins of set theory and the modern foundations of analysis. It studies the works of many contributors including Gauss, Cauchy, Riemann, and Weierstrass. This book is unique owing to the treatment of real and complex analysis as overlapping, inter-related subject…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-23715-2
- Collation
- XVI, 350, 71 b/w illustrations
- Series Title
- Springer Undergraduate Mathematics Series
- Call Number
- -
Measure and Integration
This book covers the material of a one year course in real analysis. It includes an original axiomatic approach to Lebesgue integration which the authors have found to be effective in the classroom. Each chapter contains numerous examples and an extensive problem set which expands considerably the breadth of the material covered in the text. Hints are included for some of the more difficult …
- Edition
- -
- ISBN/ISSN
- 978-3-319-29046-1
- Collation
- -
- Series Title
- -
- Call Number
- -
Analysis IV: Integration and Spectral Theory, Harmonic Analysis, the Garden o…
Analysis Volume IV introduces the reader to functional analysis (integration, Hilbert spaces, harmonic analysis in group theory) and to the methods of the theory of modular functions (theta and L series, elliptic functions, use of the Lie algebra of SL2). As in volumes I to III, the inimitable style of the author is recognizable here too, not only because of his refusal to write in the compact …
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-16907-1
- Collation
- XI, 527
- Series Title
- Universitext
- Call Number
- 515.7 GOD a
Hölder and locally Hölder Continuous Functions, and Open Sets of Class C^k,…
This book offers a systematic treatment of a classic topic in Analysis. It fills a gap in the existing literature by presenting in detail the classic λ-Hölder condition and introducing the notion of locally Hölder-continuous function in an open set Ω in Rn. Further, it provides the essential notions of multidimensional geometry applied to analysis. Written in an accessible style and with…
- Edition
- -
- ISBN/ISSN
- 978-3-319-47939-2
- Collation
- XI, 152
- Series Title
- -
- Call Number
- 510 HOL
Non-Archimedean Operator Theory
This book focuses on the theory of linear operators on non-Archimedean Banach spaces. The topics treated in this book range from a basic introduction to non-Archimedean valued fields, free non-Archimedean Banach spaces, bounded and unbounded linear operators in the non-Archimedean setting, to the spectral theory for some classes of linear operators. The theory of Fredholm operators is emphasi…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-27322-8
- Collation
- XIII, 156
- Series Title
- SpringerBriefs in Mathematics
- Call Number
- -
University of Toronto Mathematics Competition (2001–2015)
This text records the problems given for the first 15 annual undergraduate mathematics competitions, held in March each year since 2001 at the University of Toronto. Problems cover areas of single-variable differential and integral calculus, linear algebra, advanced algebra, analytic geometry, combinatorics, basic group theory, and number theory. The problems of the competitions are given in ch…
- Edition
- -
- ISBN/ISSN
- 978-3-319-28106-3
- Collation
- VIII, 207
- Series Title
- -
- Call Number
- -
Linear Functional Analysis for Scientists and Engineers
This book provides a concise and meticulous introduction to functional analysis. Since the topic draws heavily on the interplay between the algebraic structure of a linear space and the distance structure of a metric space, functional analysis is increasingly gaining the attention of not only mathematicians but also scientists and engineers. The purpose of the text is to present the basic aspec…
- Edition
- -
- ISBN/ISSN
- 978-981-10-0972-3
- Collation
- -
- Series Title
- -
- Call Number
- -
Integral and Discrete Inequalities and Their Applications
This book focuses on one- and multi-dimensional linear integral and discrete Gronwall-Bellman type inequalities. It provides a useful collection and systematic presentation of known and new results, as well as many applications to differential (ODE and PDE), difference, and integral equations. With this work the author fills a gap in the literature on inequalities, offering an ideal source for …
- Edition
- -
- ISBN/ISSN
- 978-3-319-33300-7
- Collation
- XVI, 989
- Series Title
- -
- Call Number
- 515.43 QIN i
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