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New Methods for Solving Elliptic Equations
This influential monograph, translated from the Russian by D. E. Brown, presents original methods for the theory and solution of elliptic partial differential equations. Vekua utilizes the theory of functions of a complex variable to develop integral representations for solutions of general elliptic equations in two dimensions. The text covers a wide range of boundary-value problems and is wide…
- Edition
- 1st
- ISBN/ISSN
- 0720423538
- Collation
- -
- Series Title
- -
- Call Number
- 517.36 V394
Introduction to Measure and Integration
This classic textbook provides a self-contained introduction to the theory of finite measures and integration in general spaces, intended for advanced undergraduate or postgraduate mathematics students. The book establishes measure as the primary concept, deriving the integral by extending its definition from simple functions using monotone limits. While covering general measure spaces, it plac…
- Edition
- 1st
- ISBN/ISSN
- 0521098041
- Collation
- -
- Series Title
- -
- Call Number
- 517 T246
Fundamental Concepts of Analysis
This textbook provides a rigorous introduction to the foundational principles of real analysis. It is designed to bridge the gap between elementary calculus and advanced mathematics by focusing on the logical structure of the real number system, set theory, and the concepts of limits, continuity, and convergence. The authors emphasize clear definitions and formal proofs, helping students develo…
- Edition
- 1st
- ISBN/ISSN
- 0133355055
- Collation
- -
- Series Title
- -
- Call Number
- 517 S642
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
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
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