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Author: Witold A. J. Kosmala
Publisher:
ISBN: 9780131273160
Category : Calculus
Languages : en
Pages : 574
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Book Description
Designed for undergraduate courses in advanced calculus and real analysis, this book is an easily readable, intimidation-free advanced calculus textbook. Ideas and methods of proof build upon each other and are explained thoroughly.
Author: Witold A. J. Kosmala
Publisher:
ISBN: 9780131273160
Category : Calculus
Languages : en
Pages : 574
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Book Description
Designed for undergraduate courses in advanced calculus and real analysis, this book is an easily readable, intimidation-free advanced calculus textbook. Ideas and methods of proof build upon each other and are explained thoroughly.
Author: Brian Bradie
Publisher: Pearson
ISBN: 9780130130549
Category : Numerical analysis
Languages : en
Pages : 0
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Book Description
An introduction to the fundamental concepts and techniques of numerical analysis and numerical methods. Application problems drawn from many different fields aim to prepare students to use the techniques covered to solve a variety of practical problems.
Author: Christopher C. Leary
Publisher: Lulu.com
ISBN: 1942341075
Category : Computers
Languages : en
Pages : 382
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Book Description
At the intersection of mathematics, computer science, and philosophy, mathematical logic examines the power and limitations of formal mathematical thinking. In this expansion of Leary's user-friendly 1st edition, readers with no previous study in the field are introduced to the basics of model theory, proof theory, and computability theory. The text is designed to be used either in an upper division undergraduate classroom, or for self study. Updating the 1st Edition's treatment of languages, structures, and deductions, leading to rigorous proofs of Gödel's First and Second Incompleteness Theorems, the expanded 2nd Edition includes a new introduction to incompleteness through computability as well as solutions to selected exercises.
Author: Witold A. J. Kosmala
Publisher: Pearson
ISBN: 9780130457967
Category : Calcul infinitésimal
Languages : en
Pages : 0
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Book Description
This book is designed to be an easily readable, intimidation-free guide to advanced calculus. Ideas and methods of proof build upon each other and are explained thoroughly. This is the first book to cover both single and multivariable analysis in such a clear, reader-friendly setting. Chapter topics cover sequences, limits of functions, continuity, differentiation, integration, infinite series, sequences and series of functions, vector calculus, functions of two variables, and multiple integration. For individuals seeking math fun at a higher level.
Author: Maxwell Rosenlicht
Publisher: Courier Corporation
ISBN: 0486134687
Category : Mathematics
Languages : en
Pages : 270
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Book Description
Written for junior and senior undergraduates, this remarkably clear and accessible treatment covers set theory, the real number system, metric spaces, continuous functions, Riemann integration, multiple integrals, and more. 1968 edition.
Author: A. Sasane
Publisher: Essential Textbooks in Mathema
ISBN: 9781786343338
Category : Mathematics
Languages : en
Pages : 379
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Book Description
This book constitutes a concise introductory course on Functional Analysis for students who have studied calculus and linear algebra. The topics covered are Banach spaces, continuous linear transformations, Frechet derivative, geometry of Hilbert spaces,
Author: Daniel W. Stroock
Publisher: Springer
ISBN: 3319244698
Category : Mathematics
Languages : en
Pages : 226
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Book Description
This book provides an introduction to the basic ideas and tools used in mathematical analysis. It is a hybrid cross between an advanced calculus and a more advanced analysis text and covers topics in both real and complex variables. Considerable space is given to developing Riemann integration theory in higher dimensions, including a rigorous treatment of Fubini's theorem, polar coordinates and the divergence theorem. These are used in the final chapter to derive Cauchy's formula, which is then applied to prove some of the basic properties of analytic functions. Among the unusual features of this book is the treatment of analytic function theory as an application of ideas and results in real analysis. For instance, Cauchy's integral formula for analytic functions is derived as an application of the divergence theorem. The last section of each chapter is devoted to exercises that should be viewed as an integral part of the text. A Concise Introduction to Analysis should appeal to upper level undergraduate mathematics students, graduate students in fields where mathematics is used, as well as to those wishing to supplement their mathematical education on their own. Wherever possible, an attempt has been made to give interesting examples that demonstrate how the ideas are used and why it is important to have a rigorous grasp of them.
Author: Kenneth A. Ross
Publisher: CUP Archive
ISBN:
Category : Mathematics
Languages : en
Pages : 192
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Book Description
Author: Edward Gaughan
Publisher: American Mathematical Soc.
ISBN: 0821847872
Category : Mathematics
Languages : en
Pages : 258
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Book Description
"The topics are quite standard: convergence of sequences, limits of functions, continuity, differentiation, the Riemann integral, infinite series, power series, and convergence of sequences of functions. Many examples are given to illustrate the theory, and exercises at the end of each chapter are keyed to each section."--pub. desc.
Author: Michael J. Schramm
Publisher: Courier Corporation
ISBN: 0486131920
Category : Mathematics
Languages : en
Pages : 386
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Book Description
This text forms a bridge between courses in calculus and real analysis. Suitable for advanced undergraduates and graduate students, it focuses on the construction of mathematical proofs. 1996 edition.
