Mathematics Form and Function - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematics Form and Function write by Saunders MacLane. This book was released on 2012-12-06. Mathematics Form and Function available in PDF, EPUB and Kindle. This book records my efforts over the past four years to capture in words a description of the form and function of Mathematics, as a background for the Philosophy of Mathematics. My efforts have been encouraged by lec tures that I have given at Heidelberg under the auspices of the Alexander von Humboldt Stiftung, at the University of Chicago, and at the University of Minnesota, the latter under the auspices of the Institute for Mathematics and Its Applications. Jean Benabou has carefully read the entire manuscript and has offered incisive comments. George Glauberman, Car los Kenig, Christopher Mulvey, R. Narasimhan, and Dieter Puppe have provided similar comments on chosen chapters. Fred Linton has pointed out places requiring a more exact choice of wording. Many conversations with George Mackey have given me important insights on the nature of Mathematics. I have had similar help from Alfred Aeppli, John Gray, Jay Goldman, Peter Johnstone, Bill Lawvere, and Roger Lyndon. Over the years, I have profited from discussions of general issues with my colleagues Felix Browder and Melvin Rothenberg. Ideas from Tammo Tom Dieck, Albrecht Dold, Richard Lashof, and Ib Madsen have assisted in my study of geometry. Jerry Bona and B.L. Foster have helped with my examina tion of mechanics. My observations about logic have been subject to con structive scrutiny by Gert Miiller, Marian Boykan Pour-El, Ted Slaman, R. Voreadou, Volker Weispfennig, and Hugh Woodin.
Mathematics, Form and Function
Mathematics, Form and Function - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematics, Form and Function write by Saunders Mac Lane. This book was released on 1986. Mathematics, Form and Function available in PDF, EPUB and Kindle. This book is intended to describe the practical and conceptual origins of Mathematics and the character of its development - not in historical terms, but in intrinsic terms.
Handbook of Mathematical Functions
Handbook of Mathematical Functions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Handbook of Mathematical Functions write by Milton Abramowitz. This book was released on 1965-01-01. Handbook of Mathematical Functions available in PDF, EPUB and Kindle. An extensive summary of mathematical functions that occur in physical and engineering problems
Functions and Graphs
Functions and Graphs - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Functions and Graphs write by I. M. Gelfand. This book was released on 2002-01-01. Functions and Graphs available in PDF, EPUB and Kindle. This volume presents students with problems and exercises designed to illuminate the properties of functions and graphs. The 1st part of the book employs simple functions to analyze the fundamental methods of constructing graphs. The 2nd half deals with more complicated and refined questions concerning linear functions, quadratic trinomials, linear fractional functions, power functions, and rational functions. 1969 edition.
Elliptic Curves, Modular Forms, and Their L-functions
Elliptic Curves, Modular Forms, and Their L-functions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Elliptic Curves, Modular Forms, and Their L-functions write by Álvaro Lozano-Robledo. This book was released on 2011. Elliptic Curves, Modular Forms, and Their L-functions available in PDF, EPUB and Kindle. Many problems in number theory have simple statements, but their solutions require a deep understanding of algebra, algebraic geometry, complex analysis, group representations, or a combination of all four. The original simply stated problem can be obscured in the depth of the theory developed to understand it. This book is an introduction to some of these problems, and an overview of the theories used nowadays to attack them, presented so that the number theory is always at the forefront of the discussion. Lozano-Robledo gives an introductory survey of elliptic curves, modular forms, and $L$-functions. His main goal is to provide the reader with the big picture of the surprising connections among these three families of mathematical objects and their meaning for number theory. As a case in point, Lozano-Robledo explains the modularity theorem and its famous consequence, Fermat's Last Theorem. He also discusses the Birch and Swinnerton-Dyer Conjecture and other modern conjectures. The book begins with some motivating problems and includes numerous concrete examples throughout the text, often involving actual numbers, such as 3, 4, 5, $\frac{3344161}{747348}$, and $\frac{2244035177043369699245575130906674863160948472041} {8912332268928859588025535178967163570016480830}$. The theories of elliptic curves, modular forms, and $L$-functions are too vast to be covered in a single volume, and their proofs are outside the scope of the undergraduate curriculum. However, the primary objects of study, the statements of the main theorems, and their corollaries are within the grasp of advanced undergraduates. This book concentrates on motivating the definitions, explaining the statements of the theorems and conjectures, making connections, and providing lots of examples, rather than dwelling on the hard proofs. The book succeeds if, after reading the text, students feel compelled to study elliptic curves and modular forms in all their glory.
