Complements Of Higher Mathematics
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Complements Of Higher Mathematics
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Author : Marin Marin
language : en
Publisher: Springer
Release Date : 2018-02-13
Complements Of Higher Mathematics written by Marin Marin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-13 with Technology & Engineering categories.
This book highlights the remarkable importance of special functions, operational calculus, and variational methods. A considerable portion of the book is dedicated to second-order partial differential equations, as they offer mathematical models of various phenomena in physics and engineering. The book provides students and researchers with essential help on key mathematical topics, which are applied to a range of practical problems. These topics were chosen because, after teaching university courses for many years, the authors have found them to be essential, especially in the contexts of technology, engineering and economics. Given the diversity topics included in the book, the presentation of each is limited to the basic notions and results of the respective mathematical domain. Chapter 1 is devoted to complex functions. Here, much emphasis is placed on the theory of holomorphic functions, which facilitate the understanding of the role that the theory of functions of a complex variable plays in mathematical physics, especially in the modeling of plane problems. In addition, the book demonstrates the importance of the theories of special functions, operational calculus, and variational calculus. In the last chapter, the authors discuss the basic elements of one of the most modern areas of mathematics, namely the theory of optimal control.
Partial Differential Equations In Action
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Author : Sandro Salsa
language : en
Publisher: Springer
Release Date : 2015-05-30
Partial Differential Equations In Action written by Sandro Salsa and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-30 with Mathematics categories.
This textbook presents problems and exercises at various levels of difficulty in the following areas: Classical Methods in PDEs (diffusion, waves, transport, potential equations); Basic Functional Analysis and Distribution Theory; Variational Formulation of Elliptic Problems; and Weak Formulation for Parabolic Problems and for the Wave Equation. Thanks to the broad variety of exercises with complete solutions, it can be used in all basic and advanced PDE courses.
The Schur Complement And Its Applications
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Author : Fuzhen Zhang
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-30
The Schur Complement And Its Applications written by Fuzhen Zhang and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-30 with Mathematics categories.
This book describes the Schur complement as a rich and basic tool in mathematical research and applications and discusses many significant results that illustrate its power and fertility. Coverage includes historical development, basic properties, eigenvalue and singular value inequalities, matrix inequalities in both finite and infinite dimensional settings, closure properties, and applications in statistics, probability, and numerical analysis.
Higher Mathematics
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Author : Mansfield Merriman
language : en
Publisher:
Release Date : 1898
Higher Mathematics written by Mansfield Merriman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1898 with Error analysis (Mathematics) categories.
A Bridge To Higher Mathematics
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Author : Valentin Deaconu
language : en
Publisher: CRC Press
Release Date : 2016-12-19
A Bridge To Higher Mathematics written by Valentin Deaconu and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-19 with Mathematics categories.
A Bridge to Higher Mathematics is more than simply another book to aid the transition to advanced mathematics. The authors intend to assist students in developing a deeper understanding of mathematics and mathematical thought. The only way to understand mathematics is by doing mathematics. The reader will learn the language of axioms and theorems and will write convincing and cogent proofs using quantifiers. Students will solve many puzzles and encounter some mysteries and challenging problems. The emphasis is on proof. To progress towards mathematical maturity, it is necessary to be trained in two aspects: the ability to read and understand a proof and the ability to write a proof. The journey begins with elements of logic and techniques of proof, then with elementary set theory, relations and functions. Peano axioms for positive integers and for natural numbers follow, in particular mathematical and other forms of induction. Next is the construction of integers including some elementary number theory. The notions of finite and infinite sets, cardinality of counting techniques and combinatorics illustrate more techniques of proof. For more advanced readers, the text concludes with sets of rational numbers, the set of reals and the set of complex numbers. Topics, like Zorn’s lemma and the axiom of choice are included. More challenging problems are marked with a star. All these materials are optional, depending on the instructor and the goals of the course.
Foundations Of Higher Mathematics
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Author : Stella Fletcher
language : en
Publisher:
Release Date : 1992
Foundations Of Higher Mathematics written by Stella Fletcher and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with categories.
A Mathematical Bridge
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Author : Stephen Hewson
language : en
Publisher: World Scientific Publishing Company
Release Date : 2009-01-20
A Mathematical Bridge written by Stephen Hewson and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-01-20 with Mathematics categories.
Although higher mathematics is beautiful, natural and interconnected, to the uninitiated it can feel like an arbitrary mass of disconnected technical definitions, symbols, theorems and methods. An intellectual gulf needs to be crossed before a true, deep appreciation of mathematics can develop. This book bridges this mathematical gap. It focuses on the process of discovery as much as the content, leading the reader to a clear, intuitive understanding of how and why mathematics exists in the way it does. The narrative does not evolve along traditional subject lines: each topic develops from its simplest, intuitive starting point; complexity develops naturally via questions and extensions. Throughout, the book includes levels of explanation, discussion and passion rarely seen in traditional textbooks. The choice of material is similarly rich, ranging from number theory and the nature of mathematical thought to quantum mechanics and the history of mathematics. It rounds off with a selection of thought-provoking and stimulating exercises for the reader.
Higher Mathematics
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Author :
language : en
Publisher:
Release Date : 2022
Higher Mathematics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with categories.
A Mathematical Bridge
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Author : Stephen Fletcher Hewson
language : en
Publisher: World Scientific Publishing Company
Release Date : 2003-08-13
A Mathematical Bridge written by Stephen Fletcher Hewson and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-08-13 with Mathematics categories.
This book is an alternative and highly engaging introduction to the highlights of a typical undergraduate mathematics course. Building on very simple principles, it develops these mathematical highlights, known to every well-rounded mathematician, in an intuitive and entertaining way. The aim of the book is to motivate and inspire the reader to discover and understand some of these truly amazing mathematical structures and ideas which are frequently not fully grasped, pass unnoticed or simply swamped in an undergraduate mathematics course. For the experienced mathematician the book offers refreshing, often enlightening, hindsight. For the novice it is an exciting intellectual journey. Errata(s) Errata
Higher Mathematics
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Author : Mansfield Merriman
language : en
Publisher:
Release Date : 1896
Higher Mathematics written by Mansfield Merriman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1896 with Mathematics categories.