「Undergraduate Texts in Mathematics」の版間の差分

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2015年2月27日 (金) 13:26時点における版

Undergraduate Texts in Mathematics (UTM) はSpringer-Verlag により出版されている数学の undergraduate-level（学部レベル）のテキストのシリーズである。いくつかは和訳されている。このシリーズの本は、 Springer-Verlag の他の数学のシリーズと同様、標準的なサイズの小さい黄色い本である。

このシリーズの本は類似の Graduate Texts in Mathematics (GTM) シリーズよりも初等的な内容が書かれる傾向にあるが、この 2 つのシリーズは内容や難易度についてかなりかぶる部分もある。

GTM シリーズとは異なり、Springer-Verlag によるナンバリングはない。ここでは出版年によって番号を付けている。

一覧

  1. Halmos, Paul R. (1974). Finite-Dimensional Vector Spaces. ISBN 978-0-387-90093-3 
  2. Halmos, Paul R. (1974). Naive Set Theory. ISBN 978-0-387-90092-6 
  3. Kemeny, John G.; Snell, J. Laurie (1976). Finite Markov Chains: With a New Appendix: "Generalization of a Fundamental Matrix". ISBN 978-0-387-90192-3 
  4. Singer, I. M.; Thorpe, J. A. (1976). Lecture Notes on Elementary Topology and Geometry. ISBN 978-0-387-90202-9 
  5. Apostol, Tom M. (1976). Introduction to Analytic Number Theory. ISBN 978-0-387-90163-3 
  6. Sigler, L. E. (1976). Algebra. ISBN 978-0-387-90195-4 
  7. Fleming, Wendell (1977). Functions of Several Variables. ISBN 978-0-387-97388-3 
  8. Croom, F.H. (1978). Basic Concepts of Algebraic Topology. ISBN 978-0-387-90288-3 
  9. LeCuyer, Edward J. (1978). Introduction to College Mathematics with A Programming Language. ISBN 978-0-387-90280-7 
  10. Sethuraman, B. A. (1978). Rings, Fields, and Vector Spaces: An Introduction to Abstract Algebra via Geometric Constructibility. ISBN 978-0-387-94848-5 
  11. Duda, E.; Whyburn, G. (1979). Dynamic Topology. ISBN 978-0-387-90358-3 
  12. Jantosciak, J.; Prenowitz, W. (1979). Join Geometries: A Theory of Convex Sets and Linear Geometry. ISBN 978-0-387-90340-8 
  13. Malitz, Jerome (1979). Introduction to Mathematical Logic: Set Theory - Computable Functions - Model Theory. ISBN 978-0-387-90346-0 
  14. Wilson, R. L. (1979). Much Ado About Calculus: A Modern Treatment with Applications Prepared for Use with the Computer. ISBN 978-0-387-90347-7 
  15. Franklin, Joel (1980). Methods of Mathematical Economics: Linear and Nonlinear Programming. Fixed-Point Theorems. ISBN 978-0-387-90481-8 
  16. Macki, Jack; Strauss, Aaron (1981). Introduction to Optimal Control Theory. ISBN 978-0-387-90624-9 
  17. Foulds, L. R. (1981). Optimization Techniques: An Introduction. ISBN 978-0-387-90586-0 
  18. Fischer, E. (1982). Intermediate Real Analysis. ISBN 978-0-387-90721-5 
  19. Martin, George E. (1982). Transformation Geometry: An Introduction to Symmetry. ISBN 978-0-387-90636-2 
  20. Martin, George E. (1983). The Foundations of Geometry and the Non-Euclidean Plane. ISBN 978-0-387-90694-2 
  21. Owen, David R. (1983). A First Course in the Mathematical Foundations of Thermodynamics. ISBN 978-0-387-90897-7 
  22. Smith, K. T. (1983). Primer of Modern Analysis: Directions for Knowing All Dark Things, Rhind Papyrus, 1800 B.C.. ISBN 978-0-387-90797-0 
  23. Berberian, S. K.; Dixmier, J. (1984). General Topology. ISBN 978-3-540-90972-9 
  24. Morrey, Charles B. Jr.; Protter, Murray H. (1984). Intermediate Calculus. ISBN 978-0-387-96058-6 
  25. Curtis, Charles W. (1984). Linear Algebra: An Introductory Approach. ISBN 978-0-387-90992-9 
  26. Driver, R.D. (1984). Why Math?. ISBN 978-0-387-90973-8 
  27. Foulds, L. R. (1984). Combinatorial Optimization for Undergraduates. ISBN 978-0-387-90977-6 
  28. Jänich, Klaus (1984). Topology. ISBN 978-0-387-90892-2 
  29. Bühler, W. K.; Cornell, G.; Opolka, H.; Scharlau, W. (1985). From Fermat to Minkowski: Lectures on the Theory of Numbers and Its Historical Development. ISBN 978-0-387-90942-4 
  30. Marsden, Jerrold; Weinstein, Alan (1985). Calculus I. ISBN 978-0-387-90974-5 
  31. Marsden, Jerrold; Weinstein, Alan (1985). Calculus II. ISBN 978-0-387-90975-2 
  32. Marsden, Jerrold; Weinstein, Alan (1985). Calculus III. ISBN 978-0-387-90985-1 
  33. Lang, Serge (1985). Introduction to Linear Algebra. ISBN 978-0-387-96205-4 
  34. Stanton, Dennis; White, Dennis (1986). Constructive Combinatorics. ISBN 978-0-387-96347-1 
  35. Klambauer, Gabriel (1986). Aspects of Calculus. ISBN 978-0-387-96274-0 
  36. Lang, Serge (1986). A First Course in Calculus. ISBN 978-0-387-96201-6 
  37. James, I. M. (1987). Topological and Uniform Spaces. ISBN 978-0-387-96466-9 
  38. Lang, Serge (1987). Calculus of Several Variables. ISBN 978-0-387-96405-8 
  39. Lang, Serge (1987). Linear Algebra. ISBN 978-0-387-96412-6 
  40. Peressini, Anthony L.; Sullivan, Francis E.; Uhl, J.J. Jr. (1988). The Mathematics of Nonlinear Programming. ISBN 978-0-387-96614-4 
  41. Samuel, Pierre; Levy, Silvio (1988). Projective Geometry. ISBN 978-0-387-96752-3 
  42. Armstrong, M. A. (1988). Groups and Symmetry. ISBN 978-0-387-96675-5 
  43. Brémaud, Pierre (1988). An Introduction to Probabilistic Modeling. ISBN 978-0-387-96460-7 
  44. Iooss, Gerard; Joseph, Daniel D. (1989). Elementary Stability and Bifurcation Theory. ISBN 978-0-387-97068-4 
  45. Bressoud, David M. (1989). Factorization and Primality Testing. ISBN 978-0-387-97040-0 
  46. Brickman, Louis (1989). Mathematical Introduction to Linear Programming and Game Theory. ISBN 978-0-387-96931-2 
  47. Strayer, James K. (1989). Linear Programming and Its Applications. ISBN 978-0-387-96930-5 
  48. Flanigan, Francis J.; Frank, David L.; Fristedt, Bert E.; Gary, Lawrence F.; Kazdan, Jerry L. (1990). Calculus Two: Linear and Nonlinear Functions. ISBN 978-0-387-97388-3 
  49. Millman, Richard S.; Parker, George D. (1990). Geometry: A Metric Approach with Models. ISBN 978-0-387-97412-5 
  50. Palka, Bruce P. (1990). An Introduction to Complex Function Theory. ISBN 978-0-387-97427-9 
  51. Banchoff, Thomas; Wermer, John (1991). Linear Algebra Through Geometry. ISBN 978-0-387-97586-3 
  52. Hoffmann, Karl-Heinz; Hämmerlin, Günther; Schumaker, Larry L. (1991). Numerical Mathematics. ISBN 978-0-387-97494-1 
  53. Morrey, Charles B. Jr.; Protter, Murray H. (1991). A First Course in Real Analysis. ISBN 978-0-387-97437-8 
  54. Anglin, W.S. (1991). Mathematics: A Concise History and Philosophy. ISBN 978-0-387-94280-3 
  55. Bressoud, David M. (1991). Second Year Calculus: From Celestial Mechanics to Special Relativity. ISBN 978-0-387-97606-8 
  56. Silverman, Joseph H.; Tate, John (1992). Rational Points on Elliptic Curves. ISBN 978-0-387-97825-3 
  57. Devlin, Keith (1993). The Joy of Sets: Fundamentals of Contemporary Set Theory. ISBN 978-0-387-94094-6 
  58. Kinsey, L. Christine (1993). Topology of Surfaces. ISBN 978-0-387-94102-8 
  59. Simmonds, James G. (1993). A Brief on Tensor Analysis. ISBN 978-0-387-94088-5 
  60. Valenza, Robert J. (1993). Linear Algebra: An Introduction to Abstract Mathematics. ISBN 978-0-387-94099-1 
  61. Ebbinghaus, H. D.; Flum, J.; Thomas, W. (1994). Mathematical Logic. ISBN 978-0-387-94258-2 
  62. Berberian, Sterling K. (1994). A First Course in Real Analysis. ISBN 978-0-387-94217-9 
  63. Jänich, Klaus (1994). Linear Algebra. ISBN 978-0-387-94128-8 
  64. Pedrick, George (1994). A First Course in Analysis. ISBN 978-0-387-94108-0 
  65. Stillwell, John (1994). Elements of Algebra: Geometry, Numbers, Equations. ISBN 978-0-387-94290-2 
  66. Thorpe, John A. (1994). Elementary Topics in Differential Geometry. ISBN 978-0-387-90357-6 
  67. Anglin, W.S.; Lambek, J. (1995). The Heritage of Thales. ISBN 978-0-387-94544-6 
  68. Browder, Andrew (1995). Mathematical Analysis: An Introduction. ISBN 978-0-387-94614-6 
  69. Isaac, Richard (1995). The Pleasures of Probability. ISBN 978-0-387-94415-9 
  70. Hairer, Ernst; Wanner, Gerhard (1996). Analysis by its History. ISBN 978-0-387-94551-4 
  71. Hilton, Peter; Holton, Derek; Pedersen, Jean (1996). Mathematical Reflections: In a Room with Many Mirrors. ISBN 978-0-387-94770-9 
  72. Exner, George R. (1996). An Accompaniment to Higher Mathematics. ISBN 978-0-387-94617-7 
  73. Lang, Serge (1996). Undergraduate Analysis. ISBN 978-0-387-94841-6 
  74. Troutman, John L. (1996). Variational Calculus and Optimal Control: Optimization with Elementary Convexity. ISBN 978-0-387-94511-8 
  75. Buskes, Gerard; Rooij, Arnoud Van (1997). Topological Spaces: From Distance to Neighborhood. ISBN 978-0-387-94994-9 
  76. Fine, Benjamin; Rosenberger, Gerhard (1997). The Fundamental Theorem of Algebra. ISBN 978-0-387-94657-3 
  77. Lidl, Rudolf; Pilz, Günter (1997). Applied Abstract Algebra. ISBN 978-0-387-98290-8 
  78. Axler, Sheldon (1997). Linear Algebra Done Right. ISBN 978-0-387-98259-5 
  79. Beardon, Alan F. (1997). Limits: A New Approach to Real Analysis. ISBN 978-0-387-98274-8 
  80. Gordon, Hugh (1997). Discrete Probability. ISBN 978-0-387-98227-4 
  81. Roman, Steven (1997). Introduction to Coding and Information Theory. ISBN 978-0-387-94704-4 
  82. Stillwell, John (1997). Numbers and Geometry. ISBN 978-0-387-98289-2 
  83. Martin, George E. (1998). Geometric Constructions. ISBN 978-0-387-98276-2 
  84. Protter, Murray H. (1998). Basic Elements of Real Analysis. ISBN 978-0-387-98479-7 
  85. Priestley, W. M. (1998). Calculus: A Liberal Art. ISBN 978-0-387-98379-0 
  86. Singer, David A. (1998). Geometry: Plane and Fancy. ISBN 978-0-387-98306-6 
  87. Smith, Larry (1998). Linear Algebra. ISBN 978-0-387-98455-1 
  88. Laubenbacher, Reinhard; Pengelley, David (1999). Mathematical Expeditions: Chronicles by the Explorers. ISBN 978-0-387-98434-6 
  89. Callahan, James J. (1999). The Geometry of Spacetime. ISBN 978-0-387-98641-8 
  90. Frazier, Michael W. (1999). An Introduction to Wavelets Through Linear Algebra. ISBN 978-0-387-98639-5 
  91. Schiff, Joel L. (1999). The Laplace Transform: Theory and Applications. ISBN 978-0-387-98698-2 
  92. Brunt, B. van; Carter, M. (2000). The Lebesgue-Stieltjes Integral: A Practical Introduction. ISBN 978-0-387-95012-9 
  93. Exner, George R. (2000). Inside Calculus. ISBN 978-0-387-98932-7 
  94. Hartshorne, Robin (2000). Geometry: Euclid and Beyond. ISBN 978-0-387-98650-0 
  95. Abbott, Stephen (2001). Understanding Analysis. ISBN 978-0-387-95060-0 
  96. Cederberg, Judith N. (2001). A Course in Modern Geometries. ISBN 978-0-387-98972-3 
  97. Gamelin, Theodore W. (2001). Complex Analysis. ISBN 978-0-387-95093-8 
  98. Jänich, Klaus (2001). Vector Analysis. ISBN 978-0-387-98649-4 
  99. Martin, George E. (2001). Counting: The Art of Enumerative Combinatorics. ISBN 978-0-387-95225-3 
  100. Saxe, Karen (2001). Beginning Functional Analysis. ISBN 978-0-387-95224-6 
  101. Ghorpade, Sudhir R.; Limaye, Balmohan V. (2002). A Course in Multivariable Calculus and Analysis. ISBN 978-1-4419-1620-4 
  102. Hilton, Peter; Holton, Derek; Pedersen, Jean (2002). Mathematical Vistas: From a Room with Many Windows. ISBN 978-0-387-95064-8 
  103. Estep, Donald (2002). Practical Analysis in One Variable. ISBN 978-0-387-95484-4 
  104. Gerstein, Larry J. (2002). Introduction to Mathematical Structures and Proofs. ISBN 978-0-387-95484-4 
  105. Toth, Babor (2002). Glimpses of Algebra and Geometry. ISBN 978-0-387-95345-8 
  106. Aitsahlia, Farid; Chung, Kai Lai (2003). Elementary Probability Theory: With Stochastic Processes and an Introduction to Mathematical Finance. ISBN 978-0-387-95578-0 
  107. Erdös, Paul; Suranyi, Janos (2003). Topics in the Theory of Numbers. ISBN 978-0-387-95320-5 
  108. Lovász, Pelikán L.; Vesztergombi, K. (2003). Discrete Mathematics: Elementary and Beyond. ISBN 978-0-387-95584-1 
  109. Pugh, Charles C. (2003). Real Mathematical Analysis. ISBN 978-0-387-95297-0 
  110. Stillwell, John (2003). Elements of Number Theory. ISBN 978-0-387-95587-2 
  111. Buchmann, Johannes (2004). Introduction to Cryptography. ISBN 978-0-387-21156-5 
  112. Irving, Ronald S. (2004). Integers, Polynomials, and Rings: A Course in Algebra. ISBN 978-0-387-40397-7 
  113. Logan, David J. (2004). Applied Partial Differential Equations. ISBN 978-0-387-20935-7 
  114. Cull, Paul; Flahive, Mary; Robson, Robby (2005). Difference Equations: From Rabbits to Chaos. ISBN 978-0-387-23233-1 
  115. Davidson, Kenneth R.; Donsig, Allan P. (2005). Real Analysis and Applications. ISBN 978-0-387-23233-1 
  116. Chambert-Loir, Antoine (2005). A Field Guide to Algebra. ISBN 978-0-387-21428-3 
  117. Elaydi, Saber (2005). An Introduction to Difference Equations. ISBN 978-0-387-23059-7 
  118. Lang, Serge (2005). Undergraduate Algebra. ISBN 978-0-387-22025-3 
  119. Moschovakis, Yiannis (2005). Notes on Set Theory. ISBN 978-0387287225 
  120. Singer, Stephanie Frank (2005). Linearity, Symmetry, and Prediction in the Hydrogen Atom. ISBN 978-0-387-24637-6 
  121. Stillwell, John (2005). The Four Pillars of Geometry. ISBN 978-0-387-25530-9 
  122. Cox, David; Little, John; O'Shea, Danal (2006). Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra. ISBN 978-0-387-35650-1 
  123. Ghorpade, Sudhir R.; Limaye, Balmohan V. (2006). A Course in Calculus and Real Analysis. ISBN 978-0-387-30530-1 
  124. Halmos, Paul R.; Givant, Steven (2006). Introduction to Boolean Algebras. ISBN 978-0-387-40293-2 
  125. Bix, Robert (2006). Conics and Cubics: A Concrete Introduction to Algebraic Curves. ISBN 978-0-387-31802-8 
  126. Logan, David J. (2006). A First Course in Differential Equations. ISBN 978-1-4419-7591-1 
  127. Shores, Thomas S. (2006). Applied Linear Algebra and Matrix Analysis. ISBN 978-0-387-33194-2 
  128. Beck, Matthias; Robins, Sinai (2007). Computing the Continuous Discretely: Integer-point Enumeration in Polyhedra. ISBN 978-0-387-29139-0 
  129. Knoebel, Art; Laubenbacher, Reinhard; Lodder, Jerry; Pengelley, David (2007). Mathematical Masterpieces: Further Chronicles by the Explorers. ISBN 978-0-387-33060-0 
  130. Edgar, Gerald (2007). Measure, Topology, and Fractal Geometry. ISBN 978-0-387-74748-4 
  131. Harris, John M.; Hirst, Jeffry L.; Mossinghoff, Michael (2008). Combinatorics and Graph Theory. ISBN 978-0-387-79710-6 
  132. Hoffstein, Jeffrey; Pipher, Jill; Silverman, J. H. (2008). Introduction to Mathematical Cryptography. ISBN 978-0-387-77993-5 
  133. Childs, Lindsay N. (2008). A Concrete Introduction to Higher Algebra. ISBN 978-0-387-74527-5 
  134. Stein, William (2008). Elementary Number Theory: Primes, Congruences, and Secrets. ISBN 978-0-387-85524-0 
  135. Stillwell, John (2008). Naive Lie Theory. ISBN 978-0-387-78214-0 
  136. Herod, James; Shonkwiler, Ronald (2009). Mathematical Biology: An Introduction with Maple and Matlab. ISBN 978-0-387-70983-3 
  137. Mendivil, Frank; Shonkwiler, Ronald (2009). Explorations in Monte Carlo Methods. ISBN 978-0-387-87836-2 
  138. Bak, Joseph; Newman, Donald J. (2010). Complex Analysis. ISBN 978-1-4419-7287-3 
  139. Beck, Matthias; Geoghegan, Ross (2010). The Art of Proof. ISBN 978-1-4419-7022-0 
  140. Armstrong, M. A. (2010). Basic Topology. ISBN 978-1-441-92819-1 
  141. Callahan, James J. (2010). Advanced Calculus: A Geometric View. ISBN 978-1-4419-7331-3 
  142. Hurlbert, Glenn (2010). Linear Optimization: The Simplex Workbook. ISBN 978-0-387-79147-0 
  143. Ross, Clay C. (2010). Differential Equations: An Introduction with Mathematica. ISBN 978-0-387-21284-5 
  144. Stillwell, John (2010). Mathematics and Its History. ISBN 978-1-441-96052-8 
  145. Daepp, Ulrich; Pamela, Gorkin (2011). Reading, Writing, and Proving: A Closer Look at Mathematics. ISBN 978-1-4419-9478-3 
  146. Bloch, Ethan D. (2011). Proofs and Fundamentals: A First Course in Abstract Mathematics. ISBN 978-1-4419-7126-5 
  147. Hijab, Omar (2011). Introduction to Calculus and Classical Analysis. ISBN 978-1-4419-9487-5 
  148. Adkins, William A.; Davidson, Mark G. (2012). Ordinary Differential Equations. ISBN 978-1-461-43617-1 
  149. Ostermann, Alexander; Wanner, Gerhard (2012). Geometry by Its History. ISBN 978-3-642-29163-0 
  150. Petersen, Peter (2012). Linear Algebra. ISBN 978-1-4614-3612-6 
  151. Roman, Steven (2012). Introduction to the Mathematics of Finance: Arbitrage and Option Pricing. ISBN 978-1-4614-3582-2 
  152. Terrell, Maria Shea; Lax, Peter (2013). Calculus with Applications. ISBN 978-1-4614-7945-1 
  153. Vanderbei, Robert J.; Çinlar, Erhan (2013). Real and Convex Analysis. ISBN 978-1-4614-5256-0 
  154. Bajnok, Bela (2013). An Invitation to Abstract Mathematics. ISBN 978-1-461-46635-2 
  155. McInerney, Andrew (2013). First Steps in Differential Geometry. ISBN 978-1-4614-7731-0 
  156. Ross, Kenneth A. (2013). Elementary Analysis: The Theory of Calculus. ISBN 978-1-4614-6270-5 
  157. Stanley, Richard P. (2013). Algebraic Combinatorics. ISBN 978-1-4614-6997-1 

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