Designed for courses in advanced calculus and introductory real analysis the second edition of Elementary Classical Analysis strikes a careful and thoughtful balance between pure and applied mathematics with the emphasis on techniques important to classical analysis... Lees meer.
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The Real Numbers and Real Analysis will serve as an excellent one-semester text for undergraduates majoring in mathematics and for students in mathematics education who want a thorough understanding of the theory behind the real number system and calculus. This text... Lees meer.
This is part one of a two-volume introduction to real analysis and is intended for honours undergraduates who have already been exposed to calculus. The emphasis is on rigour and on foundations. The material starts at the very beginning - the construction of the number... Lees meer.
What s the point of calculating definite integrals since you can t possibly do them all. What makes doing the specific integrals in this book of value aren t the specific answers we ll obtain but rather the methods we ll use in obtaining those answers What s the po... Lees meer.
Payoffs include. concise picture proofs of the Monotone and Dominated Convergence Theorems a one-line one-picture proof of Fubini s theorem from Cavalieri s Principle and in many cases the ability to see an integral result from measure theory. Based on an honors... Lees meer.
Presents the basic techniques and theorems of analysis. This work includes a chapter on differentiation. It presents proofs of theorems and many exercises appear at the end of each chapter. It is arranged so that each chapter builds upon the other giving students a gra... Lees meer.
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From the point of view of strict logic a rigorous course on real analysis should precede a course on calculus. From the point of view of strict logic a rigorous course on real analysis should precede a course on calculus. Strict logic is however overruled by bot... Lees meer.
Based on these tools the book presents a complete treatment of the main aspects of Probability in Banach spaces integrability and limit theorems for vector valued random variables boundedness and continuity of random processes and of some of their links to Geometry... Lees meer.
This slim volume provides a very approachable guide to the techniques and basic ideas of probability and statistics and more advanced techniques such as generalised linear models classification using logistic regression and support-vector machines. Data analysis ha... Lees meer.
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Analysis is a core subject in most undergraduate mathematics degrees. It is elegant clever and rewarding to learn but it is hard. Even the best students find it challenging and those who are unprepared often find it incomprehensible at first. This book aims to ensure... Lees meer.
Advanced Data Analysis and Modeling in Chemical Engineering provides the mathematical foundations of different areas of chemical engineering and describes typical applications. The book presents the key areas of chemical engineering their mathematical foundations and... Lees meer.
Chapter 3 covers the essential topics in complex analysis. it begins with a geometric introduction to the complex plane then covers holomorphic functions complex power series conformal mappings and the Riemann mapping theorem. The primary aim of this text is to he... Lees meer.
In a book written for mathematicians teachers of mathematics and highly motivated students Harold Edwards has taken a bold and unusual approach to the presentation of advanced calculus. In a book written for mathematicians teachers of mathematics and highly moti... Lees meer.
Intended for the students interested in the disciplines of mathematics physics engineering and finance at both the undergraduate and graduate levels this third volume in a series of titles focuses on the development of measure and integration theory differentiatio... Lees meer.
Part one of a text on multidimensional real analysis. Numerous exercises with partial solutions. Part one of the authors comprehensive and innovative work on multidimensional real analysis. This book is based on extensive teaching experience at Utrecht University an... Lees meer.
