{"title":"Complex Analysis","description":"\u003cp\u003eComplex analysis centers on the study of functions of a complex variable, combining algebra, calculus, and geometry to investigate the properties and applications of analytic functions. This field explores fundamental concepts like contour integration, residues, mapping, and singularities, forming a critical part of advanced mathematics with wide-reaching implications in engineering, physics, and beyond.\u003c\/p\u003e\u003cp\u003eWithin mathematics, complex analysis is distinguished from real analysis by its focus on two-dimensional, rather than one-dimensional, domains. Those specializing in pure or applied mathematics often use this topic to approach challenging problems involving function theory or to prepare for research in mathematical physics. To refine your study, consider narrowing your interest to subfields such as conformal mappings or complex dynamical systems depending on your theoretical or practical goals.\u003c\/p\u003e","products":[{"product_id":"friendly-approach-complex-analysis-9789814578998-new","title":"A Friendly Approach to Complex Analysis","description":"The book constitutes a basic, concise, yet rigorous course in complex analysis, for students who have studied calculus in one and several variables, but have not previously been exposed to complex analysis. The textbook should be particularly useful and relevant for undergraduate students in joint programmes with mathematics, as well as engineering students. The aim of the book is to cover the bare bones of the subject with minimal prerequisites. The core content of the book is the three main pillars of complex analysis: the Cauchy-Riemann equations, the Cauchy Integral Theorem, and Taylor and Laurent series expansions.Each section contains several problems, which are not purely drill exercises, but are rather meant to reinforce the fundamental concepts. Detailed solutions to all the exercises appear at the end of the book, making the book ideal also for self-study. There are many figures illustrating the text.","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51543664427298,"sku":"9789814578998-new","price":44.86,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789814578998.jpg?v=1776388581"},{"product_id":"friendly-approach-complex-analysis-9789814578981-new","title":"A Friendly Approach to Complex Analysis","description":"The book constitutes a basic, concise, yet rigorous course in complex analysis, for students who have studied calculus in one and several variables, but have not previously been exposed to complex analysis. The textbook should be particularly useful and relevant for undergraduate students in joint programmes with mathematics, as well as engineering students. The aim of the book is to cover the bare bones of the subject with minimal prerequisites. The core content of the book is the three main pillars of complex analysis: the Cauchy-Riemann equations, the Cauchy Integral Theorem, and Taylor and Laurent series expansions.Each section contains several problems, which are not purely drill exercises, but are rather meant to reinforce the fundamental concepts. Detailed solutions to all the exercises appear at the end of the book, making the book ideal also for self-study. There are many figures illustrating the text.","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51543664460066,"sku":"9789814578981-new","price":84.34,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789814578981.jpg?v=1776388582"},{"product_id":"grobner-bases-ring-theory-9789814365130-new","title":"Grobner Bases in Ring Theory","description":"This monograph strives to introduce a solid foundation on the usage of Gr”bner bases in ring theory by focusing on noncommutative associative algebras defined by relations over a field K. It also reveals the intrinsic structural properties of Gr”bner bases, presents a constructive PBW theory in a quite extensive context and, along the routes built via the PBW theory, the book demonstrates novel methods of using Gr”bner bases in determining and recognizing many more structural properties of algebras, such as the Gelfand?Kirillov dimension, Noetherianity, (semi-)primeness, PI-property, finiteness of global homological dimension, Hilbert series, (non-)homogeneous p-Koszulity, PBW-deformation, and regular central extension.With a self-contained and constructive Gr”bner basis theory for algebras with a skew multiplicative K-basis, numerous illuminating examples are constructed in the book for illustrating and extending the topics studied. Moreover, perspectives of further study on the topics are prompted at appropriate points. This book can be of considerable interest to researchers and graduate students in computational (computer) algebra, computational (noncommutative) algebraic geometry; especially for those working on the structure theory of rings, algebras and their modules (representations).","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51543703879970,"sku":"9789814365130-new","price":115.53,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789814365130.jpg?v=1776390066"},{"product_id":"quick-introduction-complex-analysis-9789813108516-new","title":"A Quick Introduction to Complex Analysis","description":"\u003cp\u003eThe aim of the book is to give a smooth analytic continuation from calculus to complex analysis by way of plenty of practical examples and worked-out exercises. The scope ranges from applications in calculus to complex analysis in two different levels.\u003c\/p\u003e\u003cp\u003eIf the reader is in a hurry, he can browse the quickest introduction to complex analysis at the beginning of Chapter 1, which explains the very basics of the theory in an extremely user-friendly way. Those who want to do self-study on complex analysis can concentrate on Chapter 1 in which the two mainstreams of the theory -- the power series method due to Weierstrass and the integration method due to Cauchy -- are presented in a very concrete way with rich examples. Readers who want to learn more about applied calculus can refer to Chapter 2, where numerous practical applications are provided. They will master the art of problem solving by following the step by step guidance given in the worked-out examples.\u003c\/p\u003e\u003cp\u003eThis book helps the reader to acquire fundamental skills of understanding complex analysis and its applications. It also gives a smooth introduction to Fourier analysis as well as a quick prelude to thermodynamics and fluid mechanics, information theory, and control theory. One of the main features of the book is that it presents different approaches to the same topic that aids the reader to gain a deeper understanding of the subject.\u003c\/p\u003e","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51544059314466,"sku":"9789813108516-new","price":40.7,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789813108516.jpg?v=1776396811"},{"product_id":"complex-analysis-9789811298813-new","title":"Complex Analysis","description":"\u003cp\u003eThe book comprises six chapters, each meticulously structured to build a comprehensive understanding of complex analysis. Chapter 1 covers the most fundamental concepts, providing the essential groundwork that permeates the entire text. Chapter 2 delves into normal families, the Riemann mapping theorem, and conformal mapping. Chapter 3 focuses on the zeros of analytic functions, while Chapter 4 explores the essential properties of harmonic and subharmonic functions. Chapter 5 introduces H p spaces and the Fourier transform, highlighting their interconnections. The final chapter discusses uniform approximation by rational functions.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eEmphasizing foundational theories, modern methods, and key ideas in complex analysis, this book also presents some cutting-edge research problems and recent advancements. The topics are thoughtfully selected, and the exposition is clear and rigorous. This book is an excellent resource for graduate students and independent learners alike. It features many new and concise proofs of classical theorems, and offers numerous challenging exercises to deepen understanding.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51544094081314,"sku":"9789811298813-new","price":134.24,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789811298813.jpg?v=1776398164"},{"product_id":"fibonacci-cubes-applications-variations-9789811269035-new","title":"Fibonacci Cubes with Applications and Variations","description":"\u003cp\u003eFibonacci Cubes have been an extremely popular area of research since the 1990s.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eThis unique compendium features the state of research into Fibonacci Cubes. It expands the knowledge in graph theoretic and combinatorial properties of Fibonacci Cubes and their variants.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eBy highlighting various approaches with numerous examples, it provides a fundamental source for further research in the field. This useful reference text surely benefits advanced students in computer science and mathematics and serves as an archival record of the current state of the field.\u003c\/p\u003e","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51544199135522,"sku":"9789811269035-new","price":103.05,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789811269035.jpg?v=1776399968"},{"product_id":"chaos-complexity-nonlinear-economic-theory-9789811267413-new","title":"Chaos, Complexity, and Nonlinear Economic Theory","description":"\u003cp\u003eWhat do economic chaos and uncertainties mean in rational or irrational economic theories? How do simple deterministic interactions among a few variables lead to unpredictable complex phenomena? Why is complexity of economies causing so many conflicts and confusions worldwide?\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eThis book provides a comprehensive introduction to recent developments of complexity theory in economics. It presents different models based on well-accepted economic mechanisms such as the Solow model, Ramsey model, and Lucas model. It is focused on presenting complex behaviors, such as business cycles, aperiodic motion, bifurcations, catastrophes, chaos, and hidden attractors, in basic economic models with nonlinear behavior. It shows how complex nonlinear phenomena are identified from various economic mechanisms and theories. These models demonstrate that the traditional or dominant economic views on evolution of, for instance, capitalism market, free competition, or Keynesian economics, are not generally valid. Markets are unpredictable and nobody knows with certainty the consequences of policies or other external factors in economic systems with simple interactions.\u003c\/p\u003e","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51544201658658,"sku":"9789811267413-new","price":103.05,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789811267413.jpg?v=1776400058"},{"product_id":"introduction-algebraic-coding-theory-9789811220968-new","title":"Introduction to Algebraic Coding Theory","description":"\u003cp\u003eIn this age of technology where messages are transmitted in sequences of 0's and 1's through space, errors can occur due to noisy channels. Thus, self-correcting code is vital to eradicate these errors when the number of errors is small. 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