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Mathematical Analysis: An Introduction
This foundational textbook serves as a rigorous introduction to basic classical analysis, following a traditional pedagogical path. Designed for advanced secondary students and first-year university undergraduates, the text provides a detailed treatment of fundamental topics including limits, infinite series, continuity, and differentiability (referred to by the authors as "derivability"). By e…
- Edition
- 1st
- ISBN/ISSN
- -
- Collation
- -
- Series Title
- -
- Call Number
- 517 S425
Principal Functions
This research monograph systematically develops the theory and applications of principal functions on Riemann surfaces and Riemannian spaces. The central problem addressed is the construction of a harmonic function that "imitates" a given singularity or boundary behavior within a specific neighborhood. These functions serve as essential, versatile tools across various branches of modern mathema…
- Edition
- 1st
- ISBN/ISSN
- 0442069987
- Collation
- -
- Series Title
- -
- Call Number
- 517.5 R692
Functions, Limits, and Continuity
This textbook provides a rigorous and systematic introduction to the fundamental concepts of mathematical analysis, specifically targeting the theory of limits and the continuity of real-valued functions. Ribenboim adopts a precise axiomatic approach to develop the properties of the real number system, utilizing sequences, Cauchy convergence, and accumulation points to build a solid foundation …
- Edition
- 1st
- ISBN/ISSN
- 0471718009
- Collation
- -
- Series Title
- -
- Call Number
- 517.5 R484
Elements of Complex Variables
This textbook provides a rigorous and comprehensive introduction to the theory of functions of a complex variable. Specifically designed for students transitioning from calculus to higher-level mathematical analysis, the author emphasizes conceptual clarity and logical precision to minimize the vagueness often encountered by beginners. The text covers foundational topics—including analytic fu…
- Edition
- 2nd
- ISBN/ISSN
- 0030144264
- Collation
- -
- Series Title
- -
- Call Number
- 517.8 P414
Advanced Calculus: Pure and Applied
This comprehensive textbook provides a rigorous yet accessible introduction to advanced calculus, specifically designed to bridge the gap between elementary courses and more abstract analysis. O'Neil redresses the balance between pure theory and practical application by using a conversational and heuristic approach. The text covers foundational topics—including limits, continuity, and multidi…
- Edition
- 1st
- ISBN/ISSN
- 0023893206
- Collation
- -
- Series Title
- -
- Call Number
- 517 O74
Complex Numbers and Conformal Mappings
This foundational text provides an accessible, geometrically-oriented introduction to the theory of complex numbers and conformal mappings. Based on a lecture for high-school students, Markushevich avoids dense arithmetic by interpreting complex numbers as directed line segments and functions as mappings. The book is notable for its practical application of Zhukovsky's function to the construct…
- Edition
- 1st
- ISBN/ISSN
- -
- Collation
- -
- Series Title
- -
- Call Number
- 517.8 M345
Methods of Numerical Mathematics
This textbook, part of the Applications of Mathematics series, is an adaptation of lectures delivered by Guri Ivanovich Marchuk at Novosibirsk State University. It focuses on the mathematical foundations of numerical methods for solving complex problems in mathematical physics. Marchuk emphasizes reducing complicated physical systems into simpler, theoretically well-developed problems that can …
- Edition
- 2nd
- ISBN/ISSN
- 0387906142
- Collation
- -
- Series Title
- -
- Call Number
- 517.6 M315
Functions of a Complex Variable
This classic mathematical text is designed for students with a background in calculus who wish to master the theory of complex variables and its applications. MacRobert purposefully avoids dense arithmetical methods, instead basing proofs on geometric concepts to make the subject more accessible to beginners. The book provides a thorough survey of essential topics, including geometric represent…
- Edition
- 2nd
- ISBN/ISSN
- -
- Collation
- -
- Series Title
- -
- Call Number
- 517.8 M174
Reproduction of Marine Invertebrates, Volume IV: Molluscs – Gastropods and …
This volume is part of a comprehensive series examining the reproductive biology of marine invertebrates. It focuses specifically on molluscs, with detailed coverage of gastropods and cephalopods. The book explores reproductive anatomy, gametogenesis, fertilization, larval development, and ecological and evolutionary aspects of reproduction. Contributions from multiple experts provide in-depth …
- Edition
- 1st
- ISBN/ISSN
- 0122825047
- Collation
- -
- Series Title
- -
- Call Number
- 592,016 G455
Theoretical Solid State Physics. In Two Volumes. Volume 1
A comprehensive theoretical treatment of solid state physics, covering fundamental concepts such as crystal structures, electron behavior in solids, and quantum theory applications. Volume focuses on the basic principles and theoretical foundations.
- Edition
- : Not specified
- ISBN/ISSN
- -
- Collation
- -
- Series Title
- -
- Call Number
- 530.41 H271
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