Collection Of Problems On A Course Of Mathematical Analysis
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A Collection Of Problems On A Course Of Mathematical Analysis
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Author : G. N. Berman
language : en
Publisher: Elsevier
Release Date : 2016-06-06
A Collection Of Problems On A Course Of Mathematical Analysis written by G. N. Berman and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-06 with Mathematics categories.
A Collection of Problems on a Course of Mathematical Analysis is a collection of systematically selected problems and exercises (with corresponding solutions) in mathematical analysis. A common instruction precedes a group of problems of the same type. Problems with a physics content are preceded by the necessary physical laws. In the case of more or less difficult problems, hints are given in the answers. This book is comprised of 15 chapters and begins with an overview of functions and methods of specifying them; notation for and classification of functions; elementary investigation of functions; and trigonometric and inverse trigonometric functions. The following chapters deal with limits and tests for their existence; differential calculus, with emphasis on derivatives and differentials; functions and curves; definite and indefinite integrals; and methods of evaluating definite integrals. Some applications of the integral in geometry, statics, and physics are also considered; along with functions of several variables; multiple integrals and iterated integration; line and surface integrals; and differential equations. The final chapter is devoted to trigonometric series. This monograph is intended for students studying mathematical analysis within the framework of a technical college course.
Collection Of Problems On A Course Of Mathematical Analysis
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Author : Gerald Berman
language : en
Publisher: Pergamon
Release Date : 1965
Collection Of Problems On A Course Of Mathematical Analysis written by Gerald Berman and has been published by Pergamon this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with categories.
A Problems Book In Mathematical Analysis
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Author : G. N. Berman
language : en
Publisher:
Release Date : 2008-02-01
A Problems Book In Mathematical Analysis written by G. N. Berman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-02-01 with categories.
A Collection Of Problems On A Course Of Mathematical Analysis
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Author : Georgij N. Berman
language : en
Publisher:
Release Date : 1965
A Collection Of Problems On A Course Of Mathematical Analysis written by Georgij N. Berman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with categories.
A Collection Of Problems On A Course Of Mathematical Analysis
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Author : G. N. Berman
language : en
Publisher: Elsevier
Release Date : 2014-07-14
A Collection Of Problems On A Course Of Mathematical Analysis written by G. N. Berman and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-14 with Mathematics categories.
Collection of Problems on a Course of Mathematical Analysis contains selected problems and exercises on the main branches of a Technical College course of mathematical analysis. This book covers the topics of functions, limits, derivatives, differential calculus, curves, definite integral, integral calculus, methods of evaluating definite integrals, and their applications. Other topics explored include numerical problems related to series and the functions of several variables in differential calculus, as well as their applications. The remaining chapters examine the principles of multiple, line, and surface integrals, the trigonometric series, and the elements of the theory of fields. This book is intended for students studying mathematical analysis within the framework of a technical college course.
Sharpening Mathematical Analysis Skills
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Author : Alina Sîntămărian
language : en
Publisher: Springer Nature
Release Date : 2021-10-25
Sharpening Mathematical Analysis Skills written by Alina Sîntămărian and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-25 with Mathematics categories.
This book gathers together a novel collection of problems in mathematical analysis that are challenging and worth studying. They cover most of the classical topics of a course in mathematical analysis, and include challenges presented with an increasing level of difficulty. Problems are designed to encourage creativity, and some of them were especially crafted to lead to open problems which might be of interest for students seeking motivation to get a start in research. The sets of problems are comprised in Part I. The exercises are arranged on topics, many of them being preceded by supporting theory. Content starts with limits, series of real numbers and power series, extending to derivatives and their applications, partial derivatives and implicit functions. Difficult problems have been structured in parts, helping the reader to find a solution. Challenges and open problems are scattered throughout the text, being an invitation to discover new original methods for proving known results and establishing new ones. The final two chapters offer ambitious readers splendid problems and two new proofs of a famous quadratic series involving harmonic numbers. In Part II, the reader will find solutions to the proposed exercises. Undergraduate students in mathematics, physics and engineering, seeking to strengthen their skills in analysis, will most benefit from this work, along with instructors involved in math contests, individuals who want to enrich and test their knowledge in analysis, and anyone willing to explore the standard topics of mathematical analysis in ways that aren’t commonly seen in regular textbooks.
A First Course In Mathematical Analysis
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Author : Dorairaj Somasundaram
language : en
Publisher:
Release Date : 1996-01-30
A First Course In Mathematical Analysis written by Dorairaj Somasundaram and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-01-30 with Mathematics categories.
Intends to serve as a textbook in Real Analysis at the Advanced Calculus level. This book includes topics like Field of real numbers, Foundation of calculus, Compactness, Connectedness, Riemann integration, Fourier series, Calculus of several variables and Multiple integrals are presented systematically with diagrams and illustrations.
Problems In Mathematical Analysis
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Author : Boris Pavlovich Demidovich
language : en
Publisher:
Release Date : 1966
Problems In Mathematical Analysis written by Boris Pavlovich Demidovich and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Mathematical analysis categories.
A Collection Of Problems On A Course Of Mathematical Analysis
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Author : D.C.) Special Research Seminar on Comparative Labor Movements (1959-1960 : Washington
language : en
Publisher:
Release Date : 1965
A Collection Of Problems On A Course Of Mathematical Analysis written by D.C.) Special Research Seminar on Comparative Labor Movements (1959-1960 : Washington and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with categories.
Solving Problems In Mathematical Analysis Part I
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Author : Tomasz Radożycki
language : en
Publisher: Springer Nature
Release Date : 2020-02-20
Solving Problems In Mathematical Analysis Part I written by Tomasz Radożycki and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-20 with Mathematics categories.
This textbook offers an extensive list of completely solved problems in mathematical analysis. This first of three volumes covers sets, functions, limits, derivatives, integrals, sequences and series, to name a few. The series contains the material corresponding to the first three or four semesters of a course in Mathematical Analysis. Based on the author’s years of teaching experience, this work stands out by providing detailed solutions (often several pages long) to the problems. The basic premise of the book is that no topic should be left unexplained, and no question that could realistically arise while studying the solutions should remain unanswered. The style and format are straightforward and accessible. In addition, each chapter includes exercises for students to work on independently. Answers are provided to all problems, allowing students to check their work. Though chiefly intended for early undergraduate students of Mathematics, Physics and Engineering, the book will also appeal to students from other areas with an interest in Mathematical Analysis, either as supplementary reading or for independent study.