Cover

a, b,

Author's Preface

v, vi,

Translator's preface

vii,

Contents

ix, x, xi,

1 - Vector and Matrices

p001, p002, p003, p004, p005, p006, p007, p008, p009, p010,
p011, p012,

2 - Generalizations

p013, p014, p015, p016, p017, p018, p019,

3 - The Principal Axis Transformations

p020,
p021, p022, p023, p024, p025, p026, p027, p028, p029, p030,

4 - The Elements of Quantum mechanics

p031, p032, p033, p034, p035, p036, p037, p038, p039,

5 - Perturbation Theory

p040,
p041, p042, p043, p044, p045, p046,

6 - Transformation Theory and the Bases for the Statistical Interpretation of Quantum Mechanics

p047, p048, p049, p050,
p051, p052, p053, p054, p055, p056, p057,

7 - Abstract Group theory

p058, p059, p060,
p061, p062, p063, p064, p065, p066,

8 - Invariant Subgroups

p067, p068, p069, p070,
p071,

9 - The general theory of Representations

p072, p073, p074, p075, p076, p077, p078, p079, p080,
p081, p082, p083, p084, p085, p086, p087,

10 - Continuous Groups

p088, p089, p090,
p091, p092, p093, p094, p095, p096, p097, p098, p099, p100,
p101, p102,

11 - Representations and Eigenfunctions

p103, p104, p105, p106, p107, p108, p109, p110,
p111,

12 - The Algebra of Representation Theory

p112, p113, p114, p115, p116, p117, p118, p119, p120,
p121, p122, p123,

13 - The Symmetric Group

p124, p125, p126, p127, p128, p129, p130,
p131, p132, p133, p134, p135, p136, p137, p138, p139, p140,
p141,

14 - The Rotation Groups

p142, p143, p144, p145, p146, p147, p148, p149, p150,
p151, p152,

15 - The Three Dimensional Pure rotation Group

p153, p154, p155, p156, p157, p158, p159, p160,
p161, p162, p163, p164, p165, p166, p167, p168, p169, p170,

16 - The Representations of the Direct Product

p171, p172, p173, p174, p175, p176,

17 - The Characteristics of Atomic Spectra

p177, p178, p179, p180,
p181, p182, p183, p184, p185, p186, p187, p188, p189, p190,
p191, p192, p193, p194,

18 - Selection Rules  and the Splitting of the Spectral Lines

p195, p196, p197, p198, p199, p200,
p201, p202, p203, p204, p205, p206, p207, p208, p209,

19 - Partial Determination of Eigenfunctions from Their Transformation Properties

p210,
p211, p212, p213, p214, p215, p216, p217, p218, p219,

20 - Electron Spin

p220,
p221, p222, p223, p224, p225, p226, p227, p228, p229, p230,
p231, p232, p233, p234, p235, p236,

21 - The Total Angular Momentum Quantum Number

p237, p238, p239, p240,
p241, p242, p243, p244, p245, p246, p247, p248, p249, p250,

22 - The Fine Structure of Spectral Lines

p251, p252, p253, p254, p255, p256, p257, p258, p259, p260,
p261, p262, p263, p264, p265,

23 - Selection and Intensity Rules  with Spin

p266, p267, p268, p269, p270,
p271, p272, p273, p274, p275, p276, p277, p278, p279, p280,
p281, p282, p283,

24 - Racah Coefficients

p284, p285, p286, p287, p288, p289, p290,
p291, p292, p293, p294, p295, p296, p297, p298, p299, p310,
p301, p302, p303, p304, p305, p306, p307, p308,

25 - The Building-Up Principle

p309, p310,
p311, p312, p313, p314, p315, p316, p317, p318, p319, p320,
p321, p322, p323, p324,

26 - Time Inversion

p325, p326, p327, p328, p329, p330,
p331, p332, p333, p334, p335, p336, p337, p338, p339, p340,
p341, p342, p343, p344, p345, p346, p347, p348,

27 - Physical Interpretation and Classical Limits of Representation Coefficients, Three- and Six-j Symbols

p349, p350, p351, p352, p353, p354, p355, p356,

Appendix A - Conventions

p357, p358, p359, p360,

Appendix B - Summary of Formulas

p361, p362, p363, p364,

Subject Index

p365, p366, p367, p368, p369, p370,
p371, p372