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What is Mathematics?
  • Language: en
  • Pages: 566

What is Mathematics?

A discussion of fundamental mathematical principles from algebra to elementary calculus designed to promote constructive mathematical reasoning.

Methods of Mathematical Physics
  • Language: en
  • Pages: 575

Methods of Mathematical Physics

Since the first volume of this work came out in Germany in 1924, this book, together with its second volume, has remained standard in the field. Courant and Hilbert's treatment restores the historically deep connections between physical intuition and mathematical development, providing the reader with a unified approach to mathematical physics. The present volume represents Richard Courant's second and final revision of 1953.

Differential and Integral Calculus
  • Language: en
  • Pages: 640

Differential and Integral Calculus

None

Introduction to Calculus and Analysis I
  • Language: en
  • Pages: 661

Introduction to Calculus and Analysis I

From the Preface: (...) The book is addressed to students on various levels, to mathematicians, scientists, engineers. It does not pretend to make the subject easy by glossing over difficulties, but rather tries to help the genuinely interested reader by throwing light on the interconnections and purposes of the whole. Instead of obstructing the access to the wealth of facts by lengthy discussions of a fundamental nature we have sometimes postponed such discussions to appendices in the various chapters. Numerous examples and problems are given at the end of various chapters. Some are challenging, some are even difficult; most of them supplement the material in the text.

Differential and integral calculus. Translated by E.J. McShane
  • Language: en

Differential and integral calculus. Translated by E.J. McShane

  • Type: Book
  • -
  • Published: 1937
  • -
  • Publisher: Unknown

None

What Is Mathematics?
  • Language: en
  • Pages: 592

What Is Mathematics?

For more than two thousand years a familiarity with mathematics has been regarded as an indispensable part of the intellectual equipment of every cultured person. Today, unfortunately, the traditional place of mathematics in education is in grave danger. The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but does not lead to real understanding or to greater intellectual independence. This new edition of Richard Courant's and Herbert Robbins's classic work seeks to address this problem. Its goal is to put the meaning back into mathematics. Written for beginners and scholars, for students and t...

Methods of Mathematical Physics, Volume 2
  • Language: en
  • Pages: 852

Methods of Mathematical Physics, Volume 2

Since the first volume of this work came out in Germany in 1937, this book, together with its first volume, has remained standard in the field. Courant and Hilbert's treatment restores the historically deep connections between physical intuition and mathematical development, providing the reader with a unified approach to mathematical physics. The present volume represents Richard Courant's final revision of 1961.

Methods of mathematical physics
  • Language: en
  • Pages: 575

Methods of mathematical physics

Since the first volume of this work came out in Germany in 1924, this book, together with its second volume, has remained standard in the field. Courant and Hilbert's treatment restores the historically deep connections between physical intuition and mathematical development, providing the reader with a unified approach to mathematical physics. The present volume represents Richard Courant's second and final revision of 1953.

Introduction to calculus and analysis
  • Language: en
  • Pages: 661

Introduction to calculus and analysis

From the Preface: (...) The book is addressed to students on various levels, to mathematicians, scientists, engineers. It does not pretend to make the subject easy by glossing over difficulties, but rather tries to help the genuinely interested reader by throwing light on the interconnections and purposes of the whole. Instead of obstructing the access to the wealth of facts by lengthy discussions of a fundamental nature we have sometimes postponed such discussions to appendices in the various chapters. Numerous examples and problems are given at the end of various chapters. Some are challenging, some are even difficult; most of them supplement the material in the text. In an additional pamphlet more problems and exercises of a routine character will be collected, and moreover, answers or hints for the solutions will be given. This first volume of concerned primarily with functions of a single variable, whereas the second volume will discuss the more ramified theories of calculus (...).

Dirichlet's Principle, Conformal Mapping, and Minimal Surfaces
  • Language: en
  • Pages: 330

Dirichlet's Principle, Conformal Mapping, and Minimal Surfaces

Originally published: New York: Interscience Publishers, 1950, in series: Pure and applied mathematics (Interscience Publishers); v. 3.