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Author: Tom M. Apostol
Publisher: Wiley Global Education
ISBN: 1119528909
Category : Mathematics
Languages : en
Pages : 700
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Book Description
Calculus, Volume 2, 2nd Edition An introduction to the calculus, with an excellent balance between theory and technique. Integration is treated before differentiation — this is a departure from most modern texts, but it is historically correct, and it is the best way to establish the true connection between the integral and the derivative. Proofs of all the important theorems are given, generally preceded by geometric or intuitive discussion. This Second Edition introduces the mean-value theorems and their applications earlier in the text, incorporates a treatment of linear algebra, and contains many new and easier exercises. As in the first edition, an interesting historical introduction precedes each important new concept.
Author: Tom M. Apostol
Publisher: Wiley Global Education
ISBN: 1119528909
Category : Mathematics
Languages : en
Pages : 700
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Book Description
Calculus, Volume 2, 2nd Edition An introduction to the calculus, with an excellent balance between theory and technique. Integration is treated before differentiation — this is a departure from most modern texts, but it is historically correct, and it is the best way to establish the true connection between the integral and the derivative. Proofs of all the important theorems are given, generally preceded by geometric or intuitive discussion. This Second Edition introduces the mean-value theorems and their applications earlier in the text, incorporates a treatment of linear algebra, and contains many new and easier exercises. As in the first edition, an interesting historical introduction precedes each important new concept.
Author: Tom M. Apostol
Publisher: John Wiley & Sons
ISBN: 9788126515202
Category : Calculus
Languages : en
Pages : 704
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Book Description
· Linear Analysis · Linear Spaces · Linear Transformations and Matrices · Determinants · Eigenvalues and Eigenvectors · Eigenvalues of Operators Acting on Euclidean Spaces · Linear Differential Equations · Systems of Differential Equations · Nonlinear Analysis · Differential Calculus of Scalar and Vector Fields · Applications of the Differential Calculus · Line Integrals · Special Topics · Set Functions and Elementary Probability · Calculus of Probabilities · Introduction to Numerical Analysis
Author: L’ubica Holá
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 311075018X
Category : Mathematics
Languages : en
Pages : 306
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Book Description
This book presents two natural generalizations of continuous mappings, namely usco and quasicontinuous mappings. The first class considers set-valued mappings, the second class relaxes the definition of continuity. Both these topological concepts stem naturally from basic mathematical considerations and have numerous applications that are covered in detail.
Author: Kaushik Majumdar
Publisher: CRC Press
ISBN: 1439896178
Category : Science
Languages : en
Pages : 268
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Book Description
This book covers various quantitative methods for preprocessing and analyzing human EEG signals. It presents a holistic approach to quantitative EEG from its neurological basis to simultaneous EEG and fMRI studies. Equal emphasis is given to major mathematical and statistical theories and computational techniques that have been in use in qEEG and their applications on clinical and laboratory experimental EEG. The book is compact and self-contained, requiring no background in EEG processing or acquisition and quantitative techniques.
Author: Vasile Pop
Publisher: Springer
ISBN: 3319549391
Category : Mathematics
Languages : en
Pages : 384
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Book Description
This unique and innovative book presents an exciting and complete detail of all the important topics related to the theory of square matrices of order 2. The readers exploring every detailed aspect of matrix theory are gently led toward understanding advanced topics. They will follow every notion of matrix theory with ease, accumulating a thorough understanding of algebraic and geometric aspects of matrices of order 2. The prime jewel of this book is its offering of an unusual collection of problems, theoretically motivated, most of which are new, original, and seeing the light of publication for the first time in the literature. Nearly all of the exercises are presented with detailed solutions and vary in difficulty from easy to more advanced. Many problems are particularly challenging. These, and not only these, invite the reader to unleash their creativity and research capabilities and to discover their own methods of attacking a problem. Matrices have a vast practical importance to mathematics, science, and engineering; therefore the readership of this book is intended to be broad: high school students wishing to learn the fundamentals of matrix theory, first year students who like to participate in mathematical competitions, graduate students who want to learn more about an application of a certain technique, doctoral students who are preparing for their prelim exams in linear algebra, and linear algebra instructors. Chapters 1–3 complement a standard linear algebra course. Pure and applied mathematicians who use matrix theory for their applications will find this book useful as a refresher. In fact, anyone who is willing to explore the methodologies discussed in this book and work through a collection of problems involving matrices of order 2 will be enriched.
Author: Daniele Ritelli
Publisher: CRC Press
ISBN: 1351245090
Category : Mathematics
Languages : en
Pages : 252
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Book Description
Introductory Mathematical Analysis for Quantitative Finance is a textbook designed to enable students with little knowledge of mathematical analysis to fully engage with modern quantitative finance. A basic understanding of dimensional Calculus and Linear Algebra is assumed. The exposition of the topics is as concise as possible, since the chapters are intended to represent a preliminary contact with the mathematical concepts used in Quantitative Finance. The aim is that this book can be used as a basis for an intensive one-semester course. Features: Written with applications in mind, and maintaining mathematical rigor. Suitable for undergraduate or master's level students with an Economics or Management background. Complemented with various solved examples and exercises, to support the understanding of the subject.
Author: Michael Spivak
Publisher: Westview Press
ISBN: 9780805390216
Category : Science
Languages : en
Pages : 164
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Book Description
This book uses elementary versions of modern methods found in sophisticated mathematics to discuss portions of "advanced calculus" in which the subtlety of the concepts and methods makes rigor difficult to attain at an elementary level.
Author: John Hamal Hubbard
Publisher:
ISBN: 9780971576674
Category : Algebras, Linear
Languages : en
Pages : 284
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Book Description
Author: Ioannis N. Parasidis
Publisher: Springer Nature
ISBN: 3030847217
Category : Mathematics
Languages : en
Pages : 1050
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Book Description
This contributed volume provides an extensive account of research and expository papers in a broad domain of mathematical analysis and its various applications to a multitude of fields. Presenting the state-of-the-art knowledge in a wide range of topics, the book will be useful to graduate students and researchers in theoretical and applicable interdisciplinary research. The focus is on several subjects including: optimal control problems, optimal maintenance of communication networks, optimal emergency evacuation with uncertainty, cooperative and noncooperative partial differential systems, variational inequalities and general equilibrium models, anisotropic elasticity and harmonic functions, nonlinear stochastic differential equations, operator equations, max-product operators of Kantorovich type, perturbations of operators, integral operators, dynamical systems involving maximal monotone operators, the three-body problem, deceptive systems, hyperbolic equations, strongly generalized preinvex functions, Dirichlet characters, probability distribution functions, applied statistics, integral inequalities, generalized convexity, global hyperbolicity of spacetimes, Douglas-Rachford methods, fixed point problems, the general Rodrigues problem, Banach algebras, affine group, Gibbs semigroup, relator spaces, sparse data representation, Meier-Keeler sequential contractions, hybrid contractions, and polynomial equations. Some of the works published within this volume provide as well guidelines for further research and proposals for new directions and open problems.
Author: Dzevad Belkic
Publisher: CRC Press
ISBN: 0429524951
Category : Mathematics
Languages : en
Pages : 501
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Book Description
Quantum-Mechanical Signal Processing and Spectral Analysis describes the novel application of quantum mechanical methods to signal processing across a range of interdisciplinary research fields. Conventionally, signal processing is viewed as an engineering discipline with its own specific scope, methods, concerns and priorities, not usually encompa
