Springer Undergraduate Mathematics Series

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Springer Undergraduate Mathematics Series on Springer-kustantamon kirjasarja, joka on tarkoitettu matematiikan opiskeluun korkeakouluissa. Kirjat on kirjoitettu perustutkinto-opiskelijoita. Sarjassa on panostettu moderniin lähestymistapaan ja runsaisaisiin seikkaperäisiin esimerkkeihin. Yhden kirjan laajuus on yhden-kahden lukukauden kurssi, mutta ne soveltuvat myös itseopiskeluun. [1]

Sarjassa on ilmestynyt 67 julkaisua. [2]

Sarjan editoijat ovat Chaplain, M.A.J., Erdmann, K., MacIntyre, A., Süli, E., Tehranchi, M.R. ja Toland, J.F.[3]

Sarjassa julkaistut kirjat

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Sarjassa on julkaistu alla luetellut kirjat (luettelossa ei ole saman kirjan eri painoksia). Kirjat ovat ilmestymisjärjestyksessä uusimmasta alkaen.[2]

  • Mathematical Writing
  • Multivariate Calculus and Geometry
  • Ordinary Differential Equations
  • Algebraic Number Theory
  • From Real to Complex Analysis
  • An Introduction to Laplace Transforms and Fourier Series
  • Basic Linear Algebra
  • Measure, Integral and Probability
  • Further Linear Algebra
  • Elementary Differential Geometry
  • Understanding Markov Chains
  • Probability Models
  • Measure, Integral and Probability
  • Topologies and Uniformities
  • Hyperbolic Geometry
  • Linear Functional Analysis
  • Introductory Mathematics: Applications and Methods
  • Fields, Flows and Waves
  • Complex Analysis
  • Essential Mathematical Biology
  • Information and Coding Theory
  • Sets, Logic and Categories
  • Introduction to Ring Theory
  • Elements of Abstract Analysis
  • Matrix Groups
  • Special Relativity
  • Real Analysis
  • A First Course in Discrete Mathematics
  • Symmetries
  • Topics in Group Theory
  • Elementary Number Theory
  • Numerical Methods for Partial Differential Equations
  • Analytic Methods for Partial Differential Equations
  • Elements of Logic via Numbers and Sets
  • Groups, Rings and Fields
  • Geometry
  • Introductory Mathematics: Algebra and Analysis
  • Basic Stochastic Processes
  • An Introduction to Laplace Transforms and Fourier Series
  • Vector Calculus
  • Derivative Pricing in Discrete Time
  • Complex Analysis and Differential Equations
  • Finitely Generated Abelian Groups and Similarity of Matrices over a Field
  • Affine Maps, Euclidean Motions and Quadrics
  • An Introduction to Enumeration
  • Worlds Out of Nothing
  • Numerical Methods for Ordinary Differential Equations
  • Mathematics for Finance
  • Regression
  • Mathematica®: A Problem-Centered Approach
  • Elementary Differential Geometry
  • Introduction to Analytical Dynamics
  • Codes: An Introduction to Information Communication and Cryptography
  • Sturm-Liouville Theory and its Applications
  • Fields and Galois Theory
  • Game Theory
  • General Relativity
  • Metric Spaces
  • Introduction to Lie Algebras
  • Applied Geometry for Computer Graphics and CAD
  • Essential Topology
  • Calculus of One Variable