Author: Saunders MacLane
Publisher: Springer Science & Business Media
ISBN: 1461248728
Category : Mathematics
Languages : en
Pages : 486
Book Description
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
Author: Saunders MacLane
Publisher: Springer Science & Business Media
ISBN: 1461248728
Category : Mathematics
Languages : en
Pages : 486
Book Description
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.
Publisher: Springer Science & Business Media
ISBN: 1461248728
Category : Mathematics
Languages : en
Pages : 486
Book Description
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.
Functions and Graphs
Author: I. M. Gelfand
Publisher: Courier Corporation
ISBN: 0486317137
Category : Mathematics
Languages : en
Pages : 112
Book Description
This text demonstrates the fundamentals of graph theory. The 1st part employs simple functions to analyze basics; 2nd half deals with linear functions, quadratic trinomials, linear fractional functions, power functions, rational functions. 1969 edition.
Publisher: Courier Corporation
ISBN: 0486317137
Category : Mathematics
Languages : en
Pages : 112
Book Description
This text demonstrates the fundamentals of graph theory. The 1st part employs simple functions to analyze basics; 2nd half deals with linear functions, quadratic trinomials, linear fractional functions, power functions, rational functions. 1969 edition.
Algebra
Author: William G. McCallum
Publisher:
ISBN: 9781119032199
Category :
Languages : en
Pages :
Book Description
Publisher:
ISBN: 9781119032199
Category :
Languages : en
Pages :
Book Description
A First Course in Modular Forms
Author: Fred Diamond
Publisher: Springer Science & Business Media
ISBN: 0387272267
Category : Mathematics
Languages : en
Pages : 450
Book Description
This book introduces the theory of modular forms, from which all rational elliptic curves arise, with an eye toward the Modularity Theorem. Discussion covers elliptic curves as complex tori and as algebraic curves; modular curves as Riemann surfaces and as algebraic curves; Hecke operators and Atkin-Lehner theory; Hecke eigenforms and their arithmetic properties; the Jacobians of modular curves and the Abelian varieties associated to Hecke eigenforms. As it presents these ideas, the book states the Modularity Theorem in various forms, relating them to each other and touching on their applications to number theory. The authors assume no background in algebraic number theory and algebraic geometry. Exercises are included.
Publisher: Springer Science & Business Media
ISBN: 0387272267
Category : Mathematics
Languages : en
Pages : 450
Book Description
This book introduces the theory of modular forms, from which all rational elliptic curves arise, with an eye toward the Modularity Theorem. Discussion covers elliptic curves as complex tori and as algebraic curves; modular curves as Riemann surfaces and as algebraic curves; Hecke operators and Atkin-Lehner theory; Hecke eigenforms and their arithmetic properties; the Jacobians of modular curves and the Abelian varieties associated to Hecke eigenforms. As it presents these ideas, the book states the Modularity Theorem in various forms, relating them to each other and touching on their applications to number theory. The authors assume no background in algebraic number theory and algebraic geometry. Exercises are included.
Handbook of Mathematical Functions
Author: Milton Abramowitz
Publisher: Courier Corporation
ISBN: 9780486612720
Category : Mathematics
Languages : en
Pages : 1068
Book Description
An extensive summary of mathematical functions that occur in physical and engineering problems
Publisher: Courier Corporation
ISBN: 9780486612720
Category : Mathematics
Languages : en
Pages : 1068
Book Description
An extensive summary of mathematical functions that occur in physical and engineering problems
Form, Function, and Design
Author: Paul Jacques Grillo
Publisher: Courier Dover Publications
ISBN:
Category : Architectural design
Languages : en
Pages : 252
Book Description
A renowned French architect provides an analysis of the sources, elements, and significance of design. Bibliogs.
Publisher: Courier Dover Publications
ISBN:
Category : Architectural design
Languages : en
Pages : 252
Book Description
A renowned French architect provides an analysis of the sources, elements, and significance of design. Bibliogs.
Algebra
Author: Deborah Hughes-Hallett
Publisher: John Wiley & Sons
ISBN: 9780471271758
Category : Mathematics
Languages : en
Pages : 388
Book Description
Publisher: John Wiley & Sons
ISBN: 9780471271758
Category : Mathematics
Languages : en
Pages : 388
Book Description
Algebra Form and Function with WileyPlus Blackboard Card
Elementary Theory of Analytic Functions of One or Several Complex Variables
Author: Henri Cartan
Publisher: Courier Corporation
ISBN: 0486318672
Category : Mathematics
Languages : en
Pages : 242
Book Description
Basic treatment includes existence theorem for solutions of differential systems where data is analytic, holomorphic functions, Cauchy's integral, Taylor and Laurent expansions, more. Exercises. 1973 edition.
Publisher: Courier Corporation
ISBN: 0486318672
Category : Mathematics
Languages : en
Pages : 242
Book Description
Basic treatment includes existence theorem for solutions of differential systems where data is analytic, holomorphic functions, Cauchy's integral, Taylor and Laurent expansions, more. Exercises. 1973 edition.
Review of Saunders MacLane's Mathematics: Form and Function
Author: H. A. Pogorzelski
Publisher:
ISBN: 9780964302372
Category : Arithmetic
Languages : en
Pages : 452
Book Description
Publisher:
ISBN: 9780964302372
Category : Arithmetic
Languages : en
Pages : 452
Book Description