Mathematical Analysis Fundamentals
Mathematical Analysis Fundamentals

Author: Agamirza Bashirov

Publisher: Academic Press

Published: 2014-03-27

Total Pages: 363

ISBN-13: 0128010509

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The author's goal is a rigorous presentation of the fundamentals of analysis, starting from elementary level and moving to the advanced coursework. The curriculum of all mathematics (pure or applied) and physics programs include a compulsory course in mathematical analysis. This book will serve as can serve a main textbook of such (one semester) courses. The book can also serve as additional reading for such courses as real analysis, functional analysis, harmonic analysis etc. For non-math major students requiring math beyond calculus, this is a more friendly approach than many math-centric options. - Friendly and well-rounded presentation of pre-analysis topics such as sets, proof techniques and systems of numbers - Deeper discussion of the basic concept of convergence for the system of real numbers, pointing out its specific features, and for metric spaces - Presentation of Riemann integration and its place in the whole integration theory for single variable, including the Kurzweil-Henstock integration - Elements of multiplicative calculus aiming to demonstrate the non-absoluteness of Newtonian calculus

Fundamentals of Dynamics and Analysis of Motion
Fundamentals of Dynamics and Analysis of Motion

Author: Marcelo R. M. Crespo da Silva

Publisher: Courier Dover Publications

Published: 2016-04-21

Total Pages: 722

ISBN-13: 0486797376

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Suitable as both a reference and a text for graduate students, this book stresses the fundamentals of setting up and solving dynamics problems rather than the indiscriminate use of elaborate formulas. Includes tutorials on relevant software. 2015 edition.

Fundamentals of Complex Analysis with Applications to Engineering and Science (Classic Version)
Fundamentals of Complex Analysis with Applications to Engineering and Science (Classic Version)

Author: Edward Saff

Publisher: Pearson

Published: 2017-02-13

Total Pages: 0

ISBN-13: 9780134689487

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This title is part of the Pearson Modern Classics series. Pearson Modern Classics are acclaimed titles at a value price. Please visit www.pearsonhighered.com/math-classics-series for a complete list of titles. This is the best seller in this market. It provides a comprehensive introduction to complex variable theory and its applications to current engineering problems. It is designed to make the fundamentals of the subject more easily accessible to students who have little inclination to wade through the rigors of the axiomatic approach. Modeled after standard calculus books--both in level of exposition and layout--it incorporates physical applications throughout the presentation, so that the mathematical methodology appears less sterile to engineering students.

Fundamentals and Applications of Complex Analysis
Fundamentals and Applications of Complex Analysis

Author: Harold Cohen

Publisher: Springer Science & Business Media

Published: 2003-07-31

Total Pages: 442

ISBN-13: 9780306477485

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This book is intended to serve as a text for first and second year courses in single variable complex analysis. The material that is appropriate for more advanced study is developed from elementary material. The concepts are illustrated with large numbers of examples, many of which involve problems students encounter in other courses. For example, students who have taken an introductory physics course will have encountered analysis of simple AC circuits. This text revisits such analysis using complex numbers. Cauchy's residue theorem is used to evaluate many types of definite integrals that students are introduced to in the beginning calculus sequence. Methods of conformal mapping are used to solve problems in electrostatics. The book contains material that is not considered in other popular complex analysis texts.

The Fundamentals of Mathematical Analysis
The Fundamentals of Mathematical Analysis

Author: G. M. Fikhtengol'ts

Publisher: Elsevier

Published: 2014-08-01

Total Pages: 541

ISBN-13: 1483154130

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The Fundamentals of Mathematical Analysis, Volume 2 is a continuation of the discussion of the fundamentals of mathematical analysis, specifically on the subject of curvilinear and surface integrals, with emphasis on the difference between the curvilinear and surface ""integrals of first kind"" and ""integrals of second kind."" The discussions in the book start with an introduction to the elementary concepts of series of numbers, infinite sequences and their limits, and the continuity of the sum of a series. The definition of improper integrals of unbounded functions and that of uniform convergence of integrals are explained. Curvilinear integrals of the first and second kinds are analyzed mathematically. The book then notes the application of surface integrals, through a parametric representation of a surface, and the calculation of the mass of a solid. The text also highlights that Green's formula, which connects a double integral over a plane domain with curvilinear integral along the contour of the domain, has an analogue in Ostrogradski's formula. The periodic values and harmonic analysis such as that found in the operation of a steam engine are analyzed. The volume ends with a note of further developments in mathematical analysis, which is a chronological presentation of important milestones in the history of analysis. The book is an ideal reference for mathematicians, students, and professors of calculus and advanced mathematics.

Metrology: from Physics Fundamentals to Quality of Life
Metrology: from Physics Fundamentals to Quality of Life

Author: P. Tavella

Publisher: IOS Press

Published: 2018-01-03

Total Pages: 528

ISBN-13: 1614998183

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Metrology is a constantly evolving field, and one which has developed in many ways in the last four decades. This book presents the proceedings of the Enrico Fermi Summer School on the topic of Metrology, held in Varenna, Italy, from 26 June to 6 July 2017. This was the 6th Enrico Fermi summer school devoted to metrology, the first having been held in 1976. The 2017 program addressed two major new directions for metrology: the work done in preparation for a possible re-definition of four of the base units of the SI in 2018, and the impact of the application of metrology to issues addressing quality of life – such as global climate change and clinical and food analysis – on science, citizens and society. The lectures were grouped into three modules: metrology for quality of life; fundamentals of metrology; and physical metrology and fundamental constants, and topics covered included food supply and safety; biomarkers; monitoring climate and air quality; new IS units; measurement uncertainty; fundamental constants; electrical metrology; optical frequency standards; and photometry and light metrology. The book provides an overview of the topics and changes relevant to metrology today, and will be of interest to both academics and all those whose work involves any of the various aspects of this field.

Mathematical and Physical Fundamentals of Climate Change
Mathematical and Physical Fundamentals of Climate Change

Author: Zhihua Zhang

Publisher: Elsevier

Published: 2014-12-06

Total Pages: 494

ISBN-13: 0128005831

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Mathematical and Physical Fundamentals of Climate Change is the first book to provide an overview of the math and physics necessary for scientists to understand and apply atmospheric and oceanic models to climate research. The book begins with basic mathematics then leads on to specific applications in atmospheric and ocean dynamics, such as fluid dynamics, atmospheric dynamics, oceanic dynamics, and glaciers and sea level rise. Mathematical and Physical Fundamentals of Climate Change provides a solid foundation in math and physics with which to understand global warming, natural climate variations, and climate models. This book informs the future users of climate models and the decision-makers of tomorrow by providing the depth they need. Developed from a course that the authors teach at Beijing Normal University, the material has been extensively class-tested and contains online resources, such as presentation files, lecture notes, solutions to problems and MATLab codes. - Includes MatLab and Fortran programs that allow readers to create their own models - Provides case studies to show how the math is applied to climate research - Online resources include presentation files, lecture notes, and solutions to problems in book for use in classroom or self-study

Fundamentals of Mathematical Analysis
Fundamentals of Mathematical Analysis

Author: Adel N. Boules

Publisher: Oxford University Press, USA

Published: 2021-03-09

Total Pages: 481

ISBN-13: 0198868782

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Fundamentals of Mathematical Analysis explores real and functional analysis with a substantial component on topology. The three leading chapters furnish background information on the real and complex number fields, a concise introduction to set theory, and a rigorous treatment of vector spaces. Fundamentals of Mathematical Analysis is an extensive study of metric spaces, including the core topics of completeness, compactness and function spaces, with a good number of applications. The later chapters consist of an introduction to general topology, a classical treatment of Banach and Hilbert spaces, the elements of operator theory, and a deep account of measure and integration theories. Several courses can be based on the book. This book is suitable for a two-semester course on analysis, and material can be chosen to design one-semester courses on topology or real analysis. It is designed as an accessible classical introduction to the subject and aims to achieve excellent breadth and depth and contains an abundance of examples and exercises. The topics are carefully sequenced, the proofs are detailed, and the writing style is clear and concise. The only prerequisites assumed are a thorough understanding of undergraduate real analysis and linear algebra, and a degree of mathematical maturity.

Fundamentals of Condensed Matter and Crystalline Physics
Fundamentals of Condensed Matter and Crystalline Physics

Author: David L. Sidebottom

Publisher: Cambridge University Press

Published: 2012-07-05

Total Pages: 614

ISBN-13: 1139510703

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This undergraduate textbook merges traditional solid state physics with contemporary condensed matter physics, providing an up-to-date introduction to the major concepts that form the foundations of condensed materials. The main foundational principles are emphasized, providing students with the knowledge beginners in the field should understand. The book is structured in four parts and allows students to appreciate how the concepts in this broad area build upon each other to produce a cohesive whole as they work through the chapters. Illustrations work closely with the text to convey concepts and ideas visually, enhancing student understanding of difficult material, and end-of-chapter exercises varying in difficulty allow students to put into practice the theory they have covered in each chapter and reinforce new concepts.

Fundamentals of Mathematical Physics
Fundamentals of Mathematical Physics

Author: Edgar A. Kraut

Publisher: Courier Corporation

Published: 2013-01-16

Total Pages: 482

ISBN-13: 0486131602

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Indispensable for students of modern physics, this text provides the necessary background in mathematics to study the concepts of electromagnetic theory and quantum mechanics. 1967 edition.