Elements of Pure and Applied Mathematics

Elements of Pure and Applied Mathematics PDF Author: Harry Lass
Publisher: Courier Corporation
ISBN: 0486471861
Category : Mathematics
Languages : en
Pages : 514

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Book Description
Completely self-contained, this survey explores the important topics in pure and applied mathematics. Each chapter can be read independently of the others, and all subjects are unified by cross-references to the complete work. Numerous worked-out examples appear throughout the text, and review questions and references conclude each section. 1957 edition.

Elements of Pure and Applied Mathematics

Elements of Pure and Applied Mathematics PDF Author: Harry Lass
Publisher: Courier Corporation
ISBN: 0486471861
Category : Mathematics
Languages : en
Pages : 514

Get Book Here

Book Description
Completely self-contained, this survey explores the important topics in pure and applied mathematics. Each chapter can be read independently of the others, and all subjects are unified by cross-references to the complete work. Numerous worked-out examples appear throughout the text, and review questions and references conclude each section. 1957 edition.

Elements of Applied Bifurcation Theory

Elements of Applied Bifurcation Theory PDF Author: Yuri Kuznetsov
Publisher: Springer Science & Business Media
ISBN: 1475739788
Category : Mathematics
Languages : en
Pages : 648

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Book Description
Providing readers with a solid basis in dynamical systems theory, as well as explicit procedures for application of general mathematical results to particular problems, the focus here is on efficient numerical implementations of the developed techniques. The book is designed for advanced undergraduates or graduates in applied mathematics, as well as for Ph.D. students and researchers in physics, biology, engineering, and economics who use dynamical systems as model tools in their studies. A moderate mathematical background is assumed, and, whenever possible, only elementary mathematical tools are used. This new edition preserves the structure of the first while updating the context to incorporate recent theoretical developments, in particular new and improved numerical methods for bifurcation analysis.

Elements of Soliton Theory

Elements of Soliton Theory PDF Author: George L. Lamb
Publisher: John Wiley & Sons
ISBN:
Category : Mathematics
Languages : en
Pages : 310

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Book Description


Advanced Topics in Applied Mathematics

Advanced Topics in Applied Mathematics PDF Author: Sudhakar Nair
Publisher: Cambridge University Press
ISBN: 1139499289
Category : Technology & Engineering
Languages : en
Pages : 233

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Book Description
This book is ideal for engineering, physical science and applied mathematics students and professionals who want to enhance their mathematical knowledge. Advanced Topics in Applied Mathematics covers four essential applied mathematics topics: Green's functions, integral equations, Fourier transforms and Laplace transforms. Also included is a useful discussion of topics such as the Wiener–Hopf method, finite Hilbert transforms, the Cagniard–De Hoop method and the proper orthogonal decomposition. This book reflects Sudhakar Nair's long classroom experience and includes numerous examples of differential and integral equations from engineering and physics to illustrate the solution procedures. The text includes exercise sets at the end of each chapter and a solutions manual, which is available for instructors.

Finite Elements I

Finite Elements I PDF Author: Alexandre Ern
Publisher: Springer Nature
ISBN: 3030563413
Category : Mathematics
Languages : en
Pages : 325

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Book Description
This book is the first volume of a three-part textbook suitable for graduate coursework, professional engineering and academic research. It is also appropriate for graduate flipped classes. Each volume is divided into short chapters. Each chapter can be covered in one teaching unit and includes exercises as well as solutions available from a dedicated website. The salient ideas can be addressed during lecture, with the rest of the content assigned as reading material. To engage the reader, the text combines examples, basic ideas, rigorous proofs, and pointers to the literature to enhance scientific literacy. Volume I is divided into 23 chapters plus two appendices on Banach and Hilbert spaces and on differential calculus. This volume focuses on the fundamental ideas regarding the construction of finite elements and their approximation properties. It addresses the all-purpose Lagrange finite elements, but also vector-valued finite elements that are crucial to approximate the divergence and the curl operators. In addition, it also presents and analyzes quasi-interpolation operators and local commuting projections. The volume starts with four chapters on functional analysis, which are packed with examples and counterexamples to familiarize the reader with the basic facts on Lebesgue integration and weak derivatives. Volume I also reviews important implementation aspects when either developing or using a finite element toolbox, including the orientation of meshes and the enumeration of the degrees of freedom.

Elements of Real Analysis

Elements of Real Analysis PDF Author: M.A. Al-Gwaiz
Publisher: CRC Press
ISBN: 142001160X
Category : Mathematics
Languages : en
Pages : 448

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Book Description
Focusing on one of the main pillars of mathematics, Elements of Real Analysis provides a solid foundation in analysis, stressing the importance of two elements. The first building block comprises analytical skills and structures needed for handling the basic notions of limits and continuity in a simple concrete setting while the second component involves conducting analysis in higher dimensions and more abstract spaces. Largely self-contained, the book begins with the fundamental axioms of the real number system and gradually develops the core of real analysis. The first few chapters present the essentials needed for analysis, including the concepts of sets, relations, and functions. The following chapters cover the theory of calculus on the real line, exploring limits, convergence tests, several functions such as monotonic and continuous, power series, and theorems like mean value, Taylor's, and Darboux's. The final chapters focus on more advanced theory, in particular, the Lebesgue theory of measure and integration. Requiring only basic knowledge of elementary calculus, this textbook presents the necessary material for a first course in real analysis. Developed by experts who teach such courses, it is ideal for undergraduate students in mathematics and related disciplines, such as engineering, statistics, computer science, and physics, to understand the foundations of real analysis.

The Mathematical Theory of Finite Element Methods

The Mathematical Theory of Finite Element Methods PDF Author: Susanne Brenner
Publisher: Springer Science & Business Media
ISBN: 1475736584
Category : Mathematics
Languages : en
Pages : 369

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Book Description
A rigorous and thorough mathematical introduction to the subject; A clear and concise treatment of modern fast solution techniques such as multigrid and domain decomposition algorithms; Second edition contains two new chapters, as well as many new exercises; Previous edition sold over 3000 copies worldwide

Introductory Mathematics for Engineers

Introductory Mathematics for Engineers PDF Author: Anatolij D. Myškis
Publisher:
ISBN:
Category : Engineering mathematics
Languages : en
Pages : 816

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Book Description


Elements of Mathematical Ecology

Elements of Mathematical Ecology PDF Author: Mark Kot
Publisher: Cambridge University Press
ISBN: 1316584054
Category : Nature
Languages : en
Pages : 466

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Book Description
Elements of Mathematical Ecology provides an introduction to classical and modern mathematical models, methods, and issues in population ecology. The first part of the book is devoted to simple, unstructured population models that ignore much of the variability found in natural populations for the sake of tractability. Topics covered include density dependence, bifurcations, demographic stochasticity, time delays, population interactions (predation, competition, and mutualism), and the application of optimal control theory to the management of renewable resources. The second part of this book is devoted to structured population models, covering spatially-structured population models (with a focus on reaction-diffusion models), age-structured models, and two-sex models. Suitable for upper level students and beginning researchers in ecology, mathematical biology and applied mathematics, the volume includes numerous clear line diagrams that clarify the mathematics, relevant problems thoughout the text that aid understanding, and supplementary mathematical and historical material that enrich the main text.

Arihant CBSE Term 1 Applied Mathematics Sample Papers Questions for Class 12 MCQ Books for 2021 (As Per CBSE Sample Papers issued on 2 Sep 2021)

Arihant CBSE Term 1 Applied Mathematics Sample Papers Questions for Class 12 MCQ Books for 2021 (As Per CBSE Sample Papers issued on 2 Sep 2021) PDF Author: Brijesh Dwevedi
Publisher: Arihant Publications India limited
ISBN: 9325795221
Category :
Languages : en
Pages : 184

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Book Description
This year has witness major changes in the field of academics; where CBSE’s reduced syllabus was a pleasant surprise while the introduction of 2 Term exam pattern was little uncertain for students, parents and teachers as well. Now more than ever the Sample Papers have become paramount importance of subjects with the recent changes prescribed by the board. Give final punch to preparation for CBSE Term 1 examination with the all new edition of ‘Sample Question Papers’ that is designed as per CBSE Sample Paper that are issued on 02 Sept, 2021 for 2021 – 22 academic session. Encouraging with the motto of ‘Keep Practicing, Keep Scoring’, here’s presenting Sample Question Paper – Applied Chemistry for Class 10th that consists of: 1. 10 Sample Papers along with OMR Sheet for quick revision of topics. 2. One Day Revision Notes to recall the concepts a day before exam 3. Latest CBSE Sample Paper along with detailed answers are provided for better understanding of subject. TOC One Day Revision, The Qualifiers, Latest CBSE Sample Paper, Sample Paper (1- 10).