 Book
 viii, 294 pages, 24 unnumbered pages of plates : illustrations ; 27 cm
 * Photo section* Day of the handshakes* The star years* Out of the gates* Preparing for war* Vietnam* Return to reason* The Fulbright interlude* $\textit{Berzerkeley}$* The apprenticeship* $\textit{Eurekas}$* The global math guild* The math $\textit{Ohana}$* The Penn State syndrome* Permanent sabbatical* Postscript.
 (source: Nielsen Book Data)9781470435844 20170522
(source: Nielsen Book Data)9781470435844 20170522
 * Photo section* Day of the handshakes* The star years* Out of the gates* Preparing for war* Vietnam* Return to reason* The Fulbright interlude* $\textit{Berzerkeley}$* The apprenticeship* $\textit{Eurekas}$* The global math guild* The math $\textit{Ohana}$* The Penn State syndrome* Permanent sabbatical* Postscript.
 (source: Nielsen Book Data)9781470435844 20170522
(source: Nielsen Book Data)9781470435844 20170522
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA29 .H5245 H55 2017  Unknown 
2. A TeXas style introduction to proof [2017]
 Book
 xiv, 161 pages : illustrations ; 23 cm.
 Symbolic logic
 Proof methods
 Mathematical induction
 Set theory
 Functions and relations
 Counting
 Axiomatics
 Mathematical writing
 Comments on style
 The structure of a LaTeX document.
 Symbolic logic
 Proof methods
 Mathematical induction
 Set theory
 Functions and relations
 Counting
 Axiomatics
 Mathematical writing
 Comments on style
 The structure of a LaTeX document.
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA9.54 .T395 2017  Unavailable In process Request 
3. The G.H. Hardy reader [2015]
 Book
 xv, 395 pages : illustrations ; 24 cm.
 Part I. Biography: 1. Hardy's life 2. The letter from Ramanujan to Hardy, 16 January 1913 3. A letter from Bertrand Russell to Lady Ottoline Morrell, 2 February 1913 4. The Indian mathematician Ramanujan 5. Epilogue from the man who knew infinity 6. Posters of 'Hardy's years at Oxford' 7. A glimpse of J. E. Littlewood 8. A letter from Freeman Dyson to C. P. Snow, 22 May 1967, and two letters from Hardy to Dyson 9. Miss Gertrude Hardy Part II. Writings by and about G. H. Hardy: 10. Hardy on writing books 11. Selections from Hardy's writings 12. Selections from what others have said about Hardy Part III. Mathematics: 13. An introduction to the theory of numbers 14. Prime numbers 15. The theory of numbers 16. The Riemann zetafunction and lattice point problems 17. Four Hardy gems 18. What is geometry? 19. The case against the mathematical tripos 20. The mathematician on cricket 21. Cricket for the rest of us 22. A mathematical theorem about golf 23. Mathematics in wartime 24. Mathematics 25. Asymptotic formul' in combinatory analysis (excerpts) with S. Ramanujan 26. A new solution of Waring's problem (excerpts), with J. E. Littlewood 27. Some notes on certain theorems in higher trigonometry 28. The Integral _ 0sin xx dx and further remarks on the integral _ 0sin xx dx Part IV. Tributes: 29. Dr. Glaisher and the 'messenger of mathematics' 30. David Hilbert 31. Edmund Landau (with H. Heilbronn) 32. Gosta MittagLeffler Part V. Book Reviews: 33. Osgood's calculus and Johnson's calculus 34. Hadamard: the psychology of invention in the mathematical field 35. Hulburt: differential and integral calculus 36. Bocher: an introduction to the study of integral equations.
 (source: Nielsen Book Data)9781107594647 20160704
(source: Nielsen Book Data)9781107594647 20160704
 Part I. Biography: 1. Hardy's life 2. The letter from Ramanujan to Hardy, 16 January 1913 3. A letter from Bertrand Russell to Lady Ottoline Morrell, 2 February 1913 4. The Indian mathematician Ramanujan 5. Epilogue from the man who knew infinity 6. Posters of 'Hardy's years at Oxford' 7. A glimpse of J. E. Littlewood 8. A letter from Freeman Dyson to C. P. Snow, 22 May 1967, and two letters from Hardy to Dyson 9. Miss Gertrude Hardy Part II. Writings by and about G. H. Hardy: 10. Hardy on writing books 11. Selections from Hardy's writings 12. Selections from what others have said about Hardy Part III. Mathematics: 13. An introduction to the theory of numbers 14. Prime numbers 15. The theory of numbers 16. The Riemann zetafunction and lattice point problems 17. Four Hardy gems 18. What is geometry? 19. The case against the mathematical tripos 20. The mathematician on cricket 21. Cricket for the rest of us 22. A mathematical theorem about golf 23. Mathematics in wartime 24. Mathematics 25. Asymptotic formul' in combinatory analysis (excerpts) with S. Ramanujan 26. A new solution of Waring's problem (excerpts), with J. E. Littlewood 27. Some notes on certain theorems in higher trigonometry 28. The Integral _ 0sin xx dx and further remarks on the integral _ 0sin xx dx Part IV. Tributes: 29. Dr. Glaisher and the 'messenger of mathematics' 30. David Hilbert 31. Edmund Landau (with H. Heilbronn) 32. Gosta MittagLeffler Part V. Book Reviews: 33. Osgood's calculus and Johnson's calculus 34. Hadamard: the psychology of invention in the mathematical field 35. Hulburt: differential and integral calculus 36. Bocher: an introduction to the study of integral equations.
 (source: Nielsen Book Data)9781107594647 20160704
(source: Nielsen Book Data)9781107594647 20160704
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA29 .H23 G44 2015  Unknown 
4. A guide to advanced linear algebra [2011]
 Book
 xii, 251 p. : ill. ; 23 cm.
 Preface 1. Vector spaces and linear transformations 2. Coordinates 3. Determinants 4. The structure of a linear transformation I 5. The structure of a linear transformation II 6. Bilinear, sesquilinear, and quadratic forms 7. Real and complex inner product spaces 8. Matrix groups as Lie groups A. Polynomials: A.1 Basic properties A.2 Unique factorization A.3 Polynomials as expressions and polynomials as functions B. Modules over principal ideal domains: B.1 Definitions and structure theorems B.2 Derivation of canonical forms Bibliography Index.
 (source: Nielsen Book Data)9780883853511 20160605
(source: Nielsen Book Data)9780883853511 20160605
 Preface 1. Vector spaces and linear transformations 2. Coordinates 3. Determinants 4. The structure of a linear transformation I 5. The structure of a linear transformation II 6. Bilinear, sesquilinear, and quadratic forms 7. Real and complex inner product spaces 8. Matrix groups as Lie groups A. Polynomials: A.1 Basic properties A.2 Unique factorization A.3 Polynomials as expressions and polynomials as functions B. Modules over principal ideal domains: B.1 Definitions and structure theorems B.2 Derivation of canonical forms Bibliography Index.
 (source: Nielsen Book Data)9780883853511 20160605
(source: Nielsen Book Data)9780883853511 20160605
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA184.2 .W45 2011  Unknown 
 Book
 xxiv, 295 p. : ill. ; 24 cm.
 Preface Introduction 1. A garden of integers 2. Distinguished numbers 3. Points in the plane 4. The polygonal playground 5. A treasury of triangle theorems 6. The enchantment of the equilateral triangle 7. The quadrilaterals' corner 8. Squares everywhere 9. Curves ahead 10. Adventures in tiling and coloring 11. Geometry in three dimensions 12. Additional theorems, problems and proofs Solutions to the challenges References Index About the authors.
 (source: Nielsen Book Data)9780883853481 20160603
(source: Nielsen Book Data)9780883853481 20160603
 Preface Introduction 1. A garden of integers 2. Distinguished numbers 3. Points in the plane 4. The polygonal playground 5. A treasury of triangle theorems 6. The enchantment of the equilateral triangle 7. The quadrilaterals' corner 8. Squares everywhere 9. Curves ahead 10. Adventures in tiling and coloring 11. Geometry in three dimensions 12. Additional theorems, problems and proofs Solutions to the challenges References Index About the authors.
 (source: Nielsen Book Data)9780883853481 20160603
(source: Nielsen Book Data)9780883853481 20160603
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA9.54 .A57 2010  Unknown 
6. Excursions in classical analysis : pathways to advanced problem solving and undergraduate research [2010]
 Book
 xiii, 301 p. : ill. ; 26 cm.
 Preface 1. Two classical inequalities 2. A new approach for proving inequalities 3. Means generated by an integral 4. The L'Hopital monotone rule 5. Trigonometric identities via complex numbers 6. Special numbers 7. On a sum of cosecants 8. The gamma products in simple closed forms 9. On the telescoping sums 10. Summation of subseries in closed form 11. Generating functions for powers of Fibonacci numbers 12. Identities for the Fibonacci powers 13. Bernoulli numbers via determinants 14. On some finite trigonometric power sums 15. Power series 16. Six ways to sum zeta(2) 17. Evaluations of some variant Euler sums 18. Interesting series involving binomial coefficients 19. Parametric differentiation and integration 20. Four ways to evaluate the Poisson integral 21. Some irresistible integrals Solutions to selected problems.
 (source: Nielsen Book Data)9780883857687 20160605
(source: Nielsen Book Data)9780883857687 20160605
 Preface 1. Two classical inequalities 2. A new approach for proving inequalities 3. Means generated by an integral 4. The L'Hopital monotone rule 5. Trigonometric identities via complex numbers 6. Special numbers 7. On a sum of cosecants 8. The gamma products in simple closed forms 9. On the telescoping sums 10. Summation of subseries in closed form 11. Generating functions for powers of Fibonacci numbers 12. Identities for the Fibonacci powers 13. Bernoulli numbers via determinants 14. On some finite trigonometric power sums 15. Power series 16. Six ways to sum zeta(2) 17. Evaluations of some variant Euler sums 18. Interesting series involving binomial coefficients 19. Parametric differentiation and integration 20. Four ways to evaluate the Poisson integral 21. Some irresistible integrals Solutions to selected problems.
 (source: Nielsen Book Data)9780883857687 20160605
(source: Nielsen Book Data)9780883857687 20160605
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA301 .C43 2010  Unknown 
 Book
 xviii, 357 p. : ill. ; 22 cm.
 Introduction: 1. Origins, approach and aims of the work 2. Dynamical systems and the subject matter 3. Using this book Part I. Background Ideas and Knowledge: 4. Dynamical systems, iteration, and orbits 5. Information loss and randomness in dynamical systems 6. Assumed knowledge and notations Appendix: mathematical reasoning and proof Exercises Investigations Notes Bibliography Part II. Irrational Numbers and Dynamical Systems: 7. Introduction: irrational numbers and the infinite 8. Fractional parts and points on the unit circle 9. Partitions and the pigeonhole principle 10. Kronecker's theorem 11. The dynamical systems approach to Kronecker's theorem 12. Kronecker and chaos in the music of Steve Reich 13. The ideas in Weyl's theorem on irrational numbers 14. The proof of Weyl's theorem 15. Chaos in Kronecker systems Exercises Investigations Notes Bibliography Part III. Probability and Randomness: 16. Introduction: probability, coin tossing and randomness 17. Expansions to a base 18. Rational numbers and periodic expansions 19. Sets, events, length and probability 20. Sets of measure zero 21. Independent sets and events 22. Typewriters, recurrence, and the Prince of Denmark 23. The Rademacher functions 24. Randomness, binary expansions and a law of averages 25. The dynamical systems approach 26. The Walsh functions 27. Normal numbers and randomness 28. Notions of probability and randomness 29. The curious phenomenon of the leading significant digit 30. Leading digits and geometric sequences 31. Multiple digits and a result of Diaconis 32. Dynamical systems and changes of scale 33. The equivalence of Kronecker and Benford dynamical systems 34. Scale invariance and the necessity of Benford's law Exercises Investigations Notes Bibliography Part IV. Recurrence: 35. Introduction: random systems and recurrence 36. Transformations that preserve length 37. Poincare recurrence 38. Recurrent points 39. Kac's result on average recurrence times 40. Applications to the Kronecker and Borel dynamical systems 41. The standard deviation of recurrence times Exercises Investigations Notes Bibliography Part V. Averaging in Time and Space: 42. Introduction: averaging in time and space 43. Outer measure 44. Invariant sets 45. Measurable sets 46. Measurepreserving transformations 47. Poincare recurrence ... again! 48. Ergodic systems 49. Birkhoff's theorem: the time average equals the space average 50. Weyl's theorem from the ergodic viewpoint 51. The Ergodic Theorem and expansions to an arbitrary base 52. Kac's recurrence formula: the general case 53. Mixing transformations and an example of Kakutani 54. Luroth transformations and continued fractions Exercises Investigations Notes Bibliography Index.
 (source: Nielsen Book Data)9780883850435 20160604
(source: Nielsen Book Data)9780883850435 20160604
 Introduction: 1. Origins, approach and aims of the work 2. Dynamical systems and the subject matter 3. Using this book Part I. Background Ideas and Knowledge: 4. Dynamical systems, iteration, and orbits 5. Information loss and randomness in dynamical systems 6. Assumed knowledge and notations Appendix: mathematical reasoning and proof Exercises Investigations Notes Bibliography Part II. Irrational Numbers and Dynamical Systems: 7. Introduction: irrational numbers and the infinite 8. Fractional parts and points on the unit circle 9. Partitions and the pigeonhole principle 10. Kronecker's theorem 11. The dynamical systems approach to Kronecker's theorem 12. Kronecker and chaos in the music of Steve Reich 13. The ideas in Weyl's theorem on irrational numbers 14. The proof of Weyl's theorem 15. Chaos in Kronecker systems Exercises Investigations Notes Bibliography Part III. Probability and Randomness: 16. Introduction: probability, coin tossing and randomness 17. Expansions to a base 18. Rational numbers and periodic expansions 19. Sets, events, length and probability 20. Sets of measure zero 21. Independent sets and events 22. Typewriters, recurrence, and the Prince of Denmark 23. The Rademacher functions 24. Randomness, binary expansions and a law of averages 25. The dynamical systems approach 26. The Walsh functions 27. Normal numbers and randomness 28. Notions of probability and randomness 29. The curious phenomenon of the leading significant digit 30. Leading digits and geometric sequences 31. Multiple digits and a result of Diaconis 32. Dynamical systems and changes of scale 33. The equivalence of Kronecker and Benford dynamical systems 34. Scale invariance and the necessity of Benford's law Exercises Investigations Notes Bibliography Part IV. Recurrence: 35. Introduction: random systems and recurrence 36. Transformations that preserve length 37. Poincare recurrence 38. Recurrent points 39. Kac's result on average recurrence times 40. Applications to the Kronecker and Borel dynamical systems 41. The standard deviation of recurrence times Exercises Investigations Notes Bibliography Part V. Averaging in Time and Space: 42. Introduction: averaging in time and space 43. Outer measure 44. Invariant sets 45. Measurable sets 46. Measurepreserving transformations 47. Poincare recurrence ... again! 48. Ergodic systems 49. Birkhoff's theorem: the time average equals the space average 50. Weyl's theorem from the ergodic viewpoint 51. The Ergodic Theorem and expansions to an arbitrary base 52. Kac's recurrence formula: the general case 53. Mixing transformations and an example of Kakutani 54. Luroth transformations and continued fractions Exercises Investigations Notes Bibliography Index.
 (source: Nielsen Book Data)9780883850435 20160604
(source: Nielsen Book Data)9780883850435 20160604
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA614.8 .N55 2010  Unknown 
8. Biscuits of number theory [2009]
 Book
 xiii, 311 p. : ill. ; 27 cm.
 Introduction Part I. Arithmetic: 1. A dozen questions about the powers of two 2. From 30 to 60 is not twice as hard Michael Dalezman 3. Reducing the sum of two fractions Harris S. Shultz and Ray C. Shiflett 4. A postmodern view of fractions and reciprocals of Fermat primes Rafe Jones and Jan Pearce 5. Visible structures in number theory Peter Borwein and Loki Jorgenson 6. Visual gems of number theory Roger B. Nelsen Part II. Primes: 7. A new proof of Euclid's theorem Filip Saidak 8. On the infinitude of the primes Harry Furstenberg 9. On the series of prime reciprocals James A. Clarkson 10. Applications of a simple counting technique Melvin Hausner 11. On weird and pseudoperfect numbers S. J. Benkoski and P. Erdos 12. A heuristic for the prime number theorem Hugh L. Montgomery and Stan Wagon 13. A tale of two sieves Carl Pomerance Part III. Irrationality and Continued Fractions: 14. Irrationality of the square root of two  a geometric proof Tom M. Apostol 15. Math bite: irrationality of m Harley Flanders 16. A simple proof that p is irrational Ivan Niven 17. p, e and other irrational numbers Alan E. Parks 18. A short proof of the simple continued fraction of e Henry Cohn 19. Diophantine Olympics and world champions: polynomials and primes down under Edward B. Burger 20. An elementary proof of the Wallis product formula for Pi Johan Wastlund 21. The Orchard problem Ross Honsberger Part IV. Sums of Squares and Polygonal Numbers: 22. A onesentence proof that every prime p == 1 (mod 4) is a sum of two squares D. Zagier 23. Sum of squares II Martin Gardner and Dan Kalman 24. Sums of squares VIII Roger B. Nelsen 25. A short proof of Cauchy's polygonal number theorem Melvyn B. Nathanson 26. Genealogy of Pythagorean triads A. Hall Part V. Fibonacci Numbers: 27. A dozen questions about Fibonacci numbers James Tanton 28. The Fibonacci numbers  exposed Dan Kalman and Robert Mena 29. The Fibonacci numbers  exposed more discretely Arthur T. Benjamin and Jennifer J. Quinn Part VI. NumberTheoretic Functions: 30. Great moments of the Riemann zeta function Jennifer Beineke and Chris Hughes 31. The Collatz chameleon Marc Chamberland 32. Bijecting Euler's partition recurrence David M. Bressoud and Doron Zeilberger 33. Discovery of a most extraordinary law of the numbers concerning the sum of their divisors Leonard Euler 34. The factorial function and generalizations Manjul Bhargava 35. An elementary proof of the quadratic reciprocity law Sey Y. Kim Part VII. Elliptic Curves, Cubes and Fermat's Last Theorem: 36. Proof without words: cubes and squares J. Barry Love 37. Taxicabs and sums of two cubes Joseph H. Silverman 38. Three Fermat trails to elliptic curves Ezra Brown 39. Fermat's last theorem in combinatorial form W. V. Quine 40. 'A marvellous proof' Fernando Q. Gouvea About the editors.
 (source: Nielsen Book Data)9780883853405 20160605
(source: Nielsen Book Data)9780883853405 20160605
 Introduction Part I. Arithmetic: 1. A dozen questions about the powers of two 2. From 30 to 60 is not twice as hard Michael Dalezman 3. Reducing the sum of two fractions Harris S. Shultz and Ray C. Shiflett 4. A postmodern view of fractions and reciprocals of Fermat primes Rafe Jones and Jan Pearce 5. Visible structures in number theory Peter Borwein and Loki Jorgenson 6. Visual gems of number theory Roger B. Nelsen Part II. Primes: 7. A new proof of Euclid's theorem Filip Saidak 8. On the infinitude of the primes Harry Furstenberg 9. On the series of prime reciprocals James A. Clarkson 10. Applications of a simple counting technique Melvin Hausner 11. On weird and pseudoperfect numbers S. J. Benkoski and P. Erdos 12. A heuristic for the prime number theorem Hugh L. Montgomery and Stan Wagon 13. A tale of two sieves Carl Pomerance Part III. Irrationality and Continued Fractions: 14. Irrationality of the square root of two  a geometric proof Tom M. Apostol 15. Math bite: irrationality of m Harley Flanders 16. A simple proof that p is irrational Ivan Niven 17. p, e and other irrational numbers Alan E. Parks 18. A short proof of the simple continued fraction of e Henry Cohn 19. Diophantine Olympics and world champions: polynomials and primes down under Edward B. Burger 20. An elementary proof of the Wallis product formula for Pi Johan Wastlund 21. The Orchard problem Ross Honsberger Part IV. Sums of Squares and Polygonal Numbers: 22. A onesentence proof that every prime p == 1 (mod 4) is a sum of two squares D. Zagier 23. Sum of squares II Martin Gardner and Dan Kalman 24. Sums of squares VIII Roger B. Nelsen 25. A short proof of Cauchy's polygonal number theorem Melvyn B. Nathanson 26. Genealogy of Pythagorean triads A. Hall Part V. Fibonacci Numbers: 27. A dozen questions about Fibonacci numbers James Tanton 28. The Fibonacci numbers  exposed Dan Kalman and Robert Mena 29. The Fibonacci numbers  exposed more discretely Arthur T. Benjamin and Jennifer J. Quinn Part VI. NumberTheoretic Functions: 30. Great moments of the Riemann zeta function Jennifer Beineke and Chris Hughes 31. The Collatz chameleon Marc Chamberland 32. Bijecting Euler's partition recurrence David M. Bressoud and Doron Zeilberger 33. Discovery of a most extraordinary law of the numbers concerning the sum of their divisors Leonard Euler 34. The factorial function and generalizations Manjul Bhargava 35. An elementary proof of the quadratic reciprocity law Sey Y. Kim Part VII. Elliptic Curves, Cubes and Fermat's Last Theorem: 36. Proof without words: cubes and squares J. Barry Love 37. Taxicabs and sums of two cubes Joseph H. Silverman 38. Three Fermat trails to elliptic curves Ezra Brown 39. Fermat's last theorem in combinatorial form W. V. Quine 40. 'A marvellous proof' Fernando Q. Gouvea About the editors.
 (source: Nielsen Book Data)9780883853405 20160605
(source: Nielsen Book Data)9780883853405 20160605
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA241 .B57 2009  Unknown 
 Book
 xii, 177 p. : ill. ; 26 cm.
 1. Symmetries of vector spaces: 1.1. What is a symmetry? 1.2. Distance is fundamental 1.3. Groups of symmetries 1.4. Bilinear forms and symmetries of spacetime 1.5. Putting the pieces together 1.6. A broader view: Lie groups 2. Complex numbers, quaternions and geometry: 2.1. Complex numbers 2.2. Quaternions 2.3. The geometry of rotations of R3 2.4. Putting the pieces together 2.5. A broader view: octonions 3. Linearization: 3.1. Tangent spaces 3.2. Group homomorphisms 3.3. Differentials 3.4. Putting the pieces together 3.5. A broader view: Hilbert's fifth problem 4. Oneparameter subgroups and the exponential map: 4.1. Oneparameter subgroups 4.2. The exponential map in dimension one 4.3. Calculating the matrix exponential 4.4. Properties of the matrix exponential 4.5. Using exp to determine L(G) 4.6. Differential equations 4.7. Putting the pieces together 4.8. A broader view: Lie and differential equations 4.9. Appendix on convergence 5. Lie algebras: 5.1. Lie algebras 5.2. Adjoint maps { big 'A' and small 'a' 5.3. Putting the pieces together 5.4. A broader view: Lie theory 6. Matrix groups over other fields: 6.1. What is a field? 6.2. The unitary group 6.3. Matrix groups over finite fields 6.4. Putting the pieces together 6.5. A broader view of finite groups of Lie type and simple groups Appendix I. Linear algebra facts Appendix II. Paper assignment used at Mount Holyoke College Appendix III. Opportunities for further study Solutions to selected problems Bibliography.
 (source: Nielsen Book Data)9780883857595 20160605
(source: Nielsen Book Data)9780883857595 20160605
 1. Symmetries of vector spaces: 1.1. What is a symmetry? 1.2. Distance is fundamental 1.3. Groups of symmetries 1.4. Bilinear forms and symmetries of spacetime 1.5. Putting the pieces together 1.6. A broader view: Lie groups 2. Complex numbers, quaternions and geometry: 2.1. Complex numbers 2.2. Quaternions 2.3. The geometry of rotations of R3 2.4. Putting the pieces together 2.5. A broader view: octonions 3. Linearization: 3.1. Tangent spaces 3.2. Group homomorphisms 3.3. Differentials 3.4. Putting the pieces together 3.5. A broader view: Hilbert's fifth problem 4. Oneparameter subgroups and the exponential map: 4.1. Oneparameter subgroups 4.2. The exponential map in dimension one 4.3. Calculating the matrix exponential 4.4. Properties of the matrix exponential 4.5. Using exp to determine L(G) 4.6. Differential equations 4.7. Putting the pieces together 4.8. A broader view: Lie and differential equations 4.9. Appendix on convergence 5. Lie algebras: 5.1. Lie algebras 5.2. Adjoint maps { big 'A' and small 'a' 5.3. Putting the pieces together 5.4. A broader view: Lie theory 6. Matrix groups over other fields: 6.1. What is a field? 6.2. The unitary group 6.3. Matrix groups over finite fields 6.4. Putting the pieces together 6.5. A broader view of finite groups of Lie type and simple groups Appendix I. Linear algebra facts Appendix II. Paper assignment used at Mount Holyoke College Appendix III. Opportunities for further study Solutions to selected problems Bibliography.
 (source: Nielsen Book Data)9780883857595 20160605
(source: Nielsen Book Data)9780883857595 20160605
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA387 .P65 2009  Unknown 
10. Sphere packing, Lewis Carroll, and reversi : Martin Gardner's new mathematical diversions [2009]
 Book
 xiv, 282 p. : ill. ; 23 cm.
 1. The binary system 2. Group theory and braids 3. Eight problems 4. The games and puzzles of Lewis Carroll 5. Paper cutting 6. Board games 7. Sphere packing 8. The transcendental number Pi 9. Victor Eigen, mathemagician 10. The fourcolor map theorem 11. Mr. Apollinax visits New York 12. Nine problems 13. Polyominoes and faultfree rectangles 14. Euler's spoilers: the discovery of an Order10 GraecoLatin square 15. The ellipse 16. The 24 color squares and the 30 color cubes 17. H. S. M. Coxeter 18. Bridgit and other games 19. Nine more problems 20. The calculus of finite differences.
 (source: Nielsen Book Data)9780521747011 20160528
(source: Nielsen Book Data)9780521747011 20160528
 1. The binary system 2. Group theory and braids 3. Eight problems 4. The games and puzzles of Lewis Carroll 5. Paper cutting 6. Board games 7. Sphere packing 8. The transcendental number Pi 9. Victor Eigen, mathemagician 10. The fourcolor map theorem 11. Mr. Apollinax visits New York 12. Nine problems 13. Polyominoes and faultfree rectangles 14. Euler's spoilers: the discovery of an Order10 GraecoLatin square 15. The ellipse 16. The 24 color squares and the 30 color cubes 17. H. S. M. Coxeter 18. Bridgit and other games 19. Nine more problems 20. The calculus of finite differences.
 (source: Nielsen Book Data)9780521747011 20160528
(source: Nielsen Book Data)9780521747011 20160528
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA95 .G323 2009  Unknown 
11. Calculus film project [videorecording] [2008]
 Video
 1 videodisc (159 min.): sd., col.; 4 3/4 in.
 pt. 1. A function is a mapping
 Continuity of mapping
 Limit
 I maximize
 Theorem of the mean
 Policeman
 pt. 2. Newton's method
 The definite integral as a limit
 Fundamental theorem of calculus
 What is area?
 pt. 3. Area under a curve
 The definite integral
 The volume of a solid of revolution
 Volume by shells
 Infinite areas.
 pt. 1. A function is a mapping
 Continuity of mapping
 Limit
 I maximize
 Theorem of the mean
 Policeman
 pt. 2. Newton's method
 The definite integral as a limit
 Fundamental theorem of calculus
 What is area?
 pt. 3. Area under a curve
 The definite integral
 The volume of a solid of revolution
 Volume by shells
 Infinite areas.
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA303 .C35 2008  Unknown 
 Video
 1 videodisc (82 min.) : sd., col. ; 4 3/4 in.
"About the extraordinarily gifted students who represented the United States in 2006 at the world's toughest math competition: the International Mathematical Olympiad (IMO). It is the story of six American high school students who competed with 500 others from 90 countries in Ljubljana, Slovenia. The film shows the dedication and perseverance of these remarkably talented students, the rigorous preparation they undertake, and the joy they get out of solving challenging problems. It captures the spirit that infuses the mathematical quest at the highest level"Container
"About the extraordinarily gifted students who represented the United States in 2006 at the world's toughest math competition: the International Mathematical Olympiad (IMO). It is the story of six American high school students who competed with 500 others from 90 countries in Ljubljana, Slovenia. The film shows the dedication and perseverance of these remarkably talented students, the rigorous preparation they undertake, and the joy they get out of solving challenging problems. It captures the spirit that infuses the mathematical quest at the highest level"Container
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA43 .H372 2008  Unknown 
 Book
 xxxii, 346 p. : ill. ; 27 cm.
 Proof and how it is changing. Proof : its nature and significance / Michael Detlefsen
 Implications of experimental mathematics for the philosophy of mathematics / Jonathan Borwein
 On the roles of proof in mathematics / Joseph Auslander
 Social constructivist views of mathematics. When is a problem solved? / Philip J. Davis
 Mathematical practice as a scientific problem / Reuben Hersh
 Mathematical domains : social constructs? / Julian Cole
 The nature of mathematical objects and mathematical knowledge. The existence of mathematical objects / Charles Chihara
 Mathematical objects / Stewart Shapiro
 Mathematical platonism / Mark Balaguer
 The nature of mathematical objects / Øystein Linnebo
 When is one thing equal to some other thing? / Barry Mazur
 The nature of mathematics and its applications. Extreme science : mathematics as the science of relations as such / R.S.D. Thomas
 What is mathematics? A pedagogical answer to a philosophical question / Guershon Harel
 What will count as mathematics in 2100? / Keith Devlin
 Mathematics applied : the case of addition / Mark Steiner
 Probability : a philosophical overview / Alan Hájek.
(source: Nielsen Book Data)9780883855676 20160528
 Proof and how it is changing. Proof : its nature and significance / Michael Detlefsen
 Implications of experimental mathematics for the philosophy of mathematics / Jonathan Borwein
 On the roles of proof in mathematics / Joseph Auslander
 Social constructivist views of mathematics. When is a problem solved? / Philip J. Davis
 Mathematical practice as a scientific problem / Reuben Hersh
 Mathematical domains : social constructs? / Julian Cole
 The nature of mathematical objects and mathematical knowledge. The existence of mathematical objects / Charles Chihara
 Mathematical objects / Stewart Shapiro
 Mathematical platonism / Mark Balaguer
 The nature of mathematical objects / Øystein Linnebo
 When is one thing equal to some other thing? / Barry Mazur
 The nature of mathematics and its applications. Extreme science : mathematics as the science of relations as such / R.S.D. Thomas
 What is mathematics? A pedagogical answer to a philosophical question / Guershon Harel
 What will count as mathematics in 2100? / Keith Devlin
 Mathematics applied : the case of addition / Mark Steiner
 Probability : a philosophical overview / Alan Hájek.
(source: Nielsen Book Data)9780883855676 20160528
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA8.4 .P755 2008  Unknown 
 Book
 xxi, 307 p. : ill. ; 24 cm.
 Preface 1. Arithmetic ratios 2. Polynomials and their zeros 3. Exponentials and radicals 4. Defined functions and operations 5. Triangle geometry 6. Circle geometry 7. Polygons 8. Counting 9. Probability 10. Prime decomposition 11. Number theory 12. Sequences and series 13. Statistics 14. Trigonometry 15. Threedimensional geometry 16. Functions 17. Logarithms 18. Complex numbers Solutions to exercises Epilogue Sources of the exercises Index About the author.
 (source: Nielsen Book Data)9780883858240 20160528
(source: Nielsen Book Data)9780883858240 20160528
 Preface 1. Arithmetic ratios 2. Polynomials and their zeros 3. Exponentials and radicals 4. Defined functions and operations 5. Triangle geometry 6. Circle geometry 7. Polygons 8. Counting 9. Probability 10. Prime decomposition 11. Number theory 12. Sequences and series 13. Statistics 14. Trigonometry 15. Threedimensional geometry 16. Functions 17. Logarithms 18. Complex numbers Solutions to exercises Epilogue Sources of the exercises Index About the author.
 (source: Nielsen Book Data)9780883858240 20160528
(source: Nielsen Book Data)9780883858240 20160528
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA43 .F33 2006  Unknown 
15. Mathematical miniatures [2003]
 Book
 xi, 223 p. : ill. ; 23 cm.
 1. Warmup problem set 2. Problems 3. Instead of an afterword.
 (source: Nielsen Book Data)9780883856451 20160528
(source: Nielsen Book Data)9780883856451 20160528
 1. Warmup problem set 2. Problems 3. Instead of an afterword.
 (source: Nielsen Book Data)9780883856451 20160528
(source: Nielsen Book Data)9780883856451 20160528
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA43 .S26 2003  Unknown 
16. Careers in mathematics [videorecording] [1998]
 Video
 1 videodisc (26 min.) : sd., col. ; 4 3/4 in.
Contains interviews with mathematicians working in industry, business and government. The purpose of the video is to allow the viewer to hear from people working outside academia what their daytoday work life is like and how their background in mathematics contributes to their ability to do their job. Interviews were conducted on site, showing the work environment and some of the projects mathematicians were contributing to as part of multidisciplinary teams. People interviewed come from industrial based firms such as Kodak and Boeing, business and financial firms such as Price Waterhouse and D.E. Shaw & Co., and government agencies such as the National Institute of Standards and Technology and the Naval Sea System Command.
Contains interviews with mathematicians working in industry, business and government. The purpose of the video is to allow the viewer to hear from people working outside academia what their daytoday work life is like and how their background in mathematics contributes to their ability to do their job. Interviews were conducted on site, showing the work environment and some of the projects mathematicians were contributing to as part of multidisciplinary teams. People interviewed come from industrial based firms such as Kodak and Boeing, business and financial firms such as Price Waterhouse and D.E. Shaw & Co., and government agencies such as the National Institute of Standards and Technology and the Naval Sea System Command.
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA10.5 .C37 1999  Unknown 
 Book
 xi, 194 p. ; 28 cm.
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Reference  
Z6651 .L52 1992  Inlibrary use 
18. Mathematical writing [1989]
 Book
 115 p. ; 28 cm.
 1. Minicourse on technical writing 2. An exercise on technical writing 3. An answer to the exercise 4. Comments on student answers 5. Preparing books for publication 6. Handy reference book 7. Presenting algorithms 8. Literate programming 9. User manuals 10. Galley proofs 11. Refereeing 12. Hints for referees 13. Illustrations 14. Homework: subscripts and superscripts 15. Homework: solutions 16. Quotations 17. Scientific American saga 18. Examples of good style 19. MaryClaire van Leunen on 'hopefully' 20. Herb Wilf on mathematical writing 21. Wilf's first extreme 22. Wilf's other extreme 23. Jeff Ullman on getting rich 24. Leslie Lamport on writing papers 25. Lamport's handout on unnecessary prose 26. Lamport's handout on styles of proof 2. Nils Nilsson on art and writing 28. MaryClaire van Leunen on callisthenics 29. MaryClaire's handout on compositional exercises 30. Comments on student work 31. MaryClaire van Leunen on which vs. that 32. Computer aids to writing 33. Rosalie Stemer on copy editing 34. Paul Halmos on mathematical writing 35. Final truths.
 (source: Nielsen Book Data)9780883850633 20160528
(source: Nielsen Book Data)9780883850633 20160528
 1. Minicourse on technical writing 2. An exercise on technical writing 3. An answer to the exercise 4. Comments on student answers 5. Preparing books for publication 6. Handy reference book 7. Presenting algorithms 8. Literate programming 9. User manuals 10. Galley proofs 11. Refereeing 12. Hints for referees 13. Illustrations 14. Homework: subscripts and superscripts 15. Homework: solutions 16. Quotations 17. Scientific American saga 18. Examples of good style 19. MaryClaire van Leunen on 'hopefully' 20. Herb Wilf on mathematical writing 21. Wilf's first extreme 22. Wilf's other extreme 23. Jeff Ullman on getting rich 24. Leslie Lamport on writing papers 25. Lamport's handout on unnecessary prose 26. Lamport's handout on styles of proof 2. Nils Nilsson on art and writing 28. MaryClaire van Leunen on callisthenics 29. MaryClaire's handout on compositional exercises 30. Comments on student work 31. MaryClaire van Leunen on which vs. that 32. Computer aids to writing 33. Rosalie Stemer on copy editing 34. Paul Halmos on mathematical writing 35. Final truths.
 (source: Nielsen Book Data)9780883850633 20160528
(source: Nielsen Book Data)9780883850633 20160528
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
T11 .K57 1989  Unknown 
19. U.S.A. mathematical olympiads, 19721986 [1988]
 Book
 xiii, 127 p. : ill. ; 23 cm.
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA43 .K466 1988  Unknown 
20. The College mathematics journal : an official publication of the Mathematical Association of America [1984  ]
 Journal/Periodical
 v. : ill. ; 26 cm.
SAL3 (offcampus storage), Science Library (Li and Ma)
SAL3 (offcampus storage)  Status 

Stacks

Request 
QA11 .A1 T9 V.43 2012  Available 
QA11 .A1 T9 V.42 2011  Available 
QA11 .A1 T9 V.41 2010  Available 
QA11 .A1 T9 V.40 2009  Available 
QA11 .A1 T9 V.39 2008  Available 
QA11 .A1 T9 V.38 2007  Available 
QA11 .A1 T9 V.37 2006  Available 
QA11 .A1 T9 V.36 2005  Available 
QA11 .A1 T9 V.35 2004  Available 
QA11 .A1 T9 V.34 2003  Available 
QA11 .A1 T9 V.33 2002  Available 
QA11 .A1 T9 V.32 2001  Available 
QA11 .A1 T9 V.31 2000  Available 
QA11 .A1 T9 V.30 1999  Available 
QA11 .A1 T9 V.29 1998  Available 
QA11 .A1 T9 V.28 1997  Available 
QA11 .A1 T9 V.27 1996  Available 
QA11 .A1 T9 V.26 1995  Available 
QA11 .A1 T9 V.25 1994  Available 
QA11 .A1 T9 V.24 1993  Available 
Science Library (Li and Ma)  Status 

Serials

Latest: v.48:no.5 (2017:November) 
Shelved by title V.47 2016  Unknown 
Shelved by title V.46 2015  Unknown 
Shelved by title V.45 2014  Unknown 
Shelved by title V.44 NO.12,45 2013  Unknown 