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Basic Analysis : Introduction to Real Analysis
A first course in mathematical analysis. Covers the real number system, sequences and series, continuous functions, the derivative, the Riemann integral, sequences of functions, and metric spaces.
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- 515 LEB b
Mathematical Analysis Volume I
This award-winning text carefully leads the student through the basic topics of Real Analysis. Topics include metric spaces, open and closed sets, convergent sequences, function limits and continuity, compact sets, sequences and series of functions, power series, differentiation and integration, Taylor's theorem, total variation, rectifiable arcs, and sufficient conditions of integrability. Wel…
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- 515 ZAK m
How We Got from There to Here : A Story of Real Analysis
The typical introductory real analysis text starts with an analysis of the real number system and uses this to develop the definition of a limit, which is then used as a foundation for the definitions encountered thereafter. While this is certainly a reasonable approach from a logical point of view, it is not how the subject evolved, nor is it necessarily the best way to introduce students to t…
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- 9781312348691
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- 515 ROG h
Light and Matter
This is an introductory text intended for a one-year introductory course of the type typically taken by biology majors, or for AP Physics B. Algebra and trig are used, and there are optional calculus-based sections.
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- 535 CRO l
Introduction to Mathematical Analysis I
The lecture notes contain topics of real analysis usually covered in a 10-week course: the completeness axiom, sequences and convergence, continuity, and differentiation. The lecture notes also contain many well-selected exercises of various levels. Although these topics are written in a more abstract way compared with those available in some textbooks, teachers can choose to simplify them depe…
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- 9781365605529
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- 515 LAF i
Algebraic Design Theory and Hadamard Matrices: ADTHM, Lethbridge, Alberta, Ca…
This volume develops the depth and breadth of the mathematics underlying the construction and analysis of Hadamard matrices, and their use in the construction of combinatorial designs. At the same time, it pursues current research in their numerous applications in security and cryptography, quantum information, and communications. Bridges among diverse mathematical threads and extensive applica…
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- Ed. 1
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- 978-3-319-17729-8
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- XI, 259
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- Springer Proceedings in Mathematics & Statistics
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- 512 ALG a
Algebra for Cryptologists
This textbook provides an introduction to the mathematics on which modern cryptology is based. It covers not only public key cryptography, the glamorous component of modern cryptology, but also pays considerable attention to secret key cryptography, its workhorse in practice. Modern cryptology has been described as the science of the integrity of information, covering all aspects like confid…
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- Ed. 1
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- 978-3-319-30396-3
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- XIV, 301
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- Springer Undergraduate Texts in Mathematics and Technology
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- 512 MEI a
Algebra for Applications: Cryptography, Secret Sharing, Error-Correcting, Fin…
This book examines the relationship between mathematics and data in the modern world. Indeed, modern societies are awash with data which must be manipulated in many different ways: encrypted, compressed, shared between users in a prescribed manner, protected from an unauthorised access and transmitted over unreliable channels. All of these operations can be understood only by a person with know…
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- Ed. 1
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- 978-3-319-21951-6
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- XIV, 328
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- Springer Undergraduate Mathematics Series
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- 512 SLI a
Algebra and its Applications: ICAA, Aligarh, India, December 2014
S. TARIQ RIZVI is Professor and the Coordinator of Department of Mathematics, the Ohio State University (OSU), Lima, USA. After receiving his Ph.D. from McMaster University (Canada) in 1981 and teaching at the University of Waterloo (Canada), he joined OSU in 1982. A recipient of the Outstanding Scholar Award from OSU and a Fulbright Fellow Award from the Fulbright Board, Washington, DC, Profes…
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- Ed. 1
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- 978-981-10-1651-6
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- XVI, 430
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- Springer Proceedings in Mathematics & Statistics
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- 512 ALG a
Algebra I: Textbook for Students of Mathematics
This book is the first volume of an intensive “Russian-style” two-year graduate course in abstract algebra, and introduces readers to the basic algebraic structures – fields, rings, modules, algebras, groups, and categories – and explains the main principles of and methods for working with them. The course covers substantial areas of advanced combinatorics, geometry, linear and multi…
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- Ed. 1
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- 978-3-319-45285-2
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- XX, 564
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- 512 GOR a
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